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dAny`0`x`()->Join(SetCategory,etc)``ANY`60547
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60981
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`61028
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62240
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63281
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`63588
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63674
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`64026
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64248
dBasicFile`0`n`()->etc``BASFILE`64463
dBasicKeyedAccessFile`0`n`()->etc``BKAFILE`0
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64530
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64664
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64754
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`65003
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65293
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65527
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65594
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65676
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65783
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`67175
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67423
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67834
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67892
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67982
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68245
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68660
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68770
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`68806
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`69011
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`69231
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69450
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`70034
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70369
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70410
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70517
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`70573
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`70664
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71302
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`71589
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`71635
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71900
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`72166
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`72299
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->Join(DirectProductCategory(dim,R),etc)`(dim,R)`DIRPROD`72379
dDirectProductMatrixModule`4`n`(n:PositiveInteger,R:Ring,M:SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,M,S)`DPMM`72979
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`73065
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`73164
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73267
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73532
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73886
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74031
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`75878
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`76090
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76301
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`76395
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76496
dElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`76906
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77316
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77472
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77637
dEuclideanModularRing`6`n`(S:CommutativeRing,R:UnivariatePolynomialCategory(S),Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(EuclideanDomain,etc)`(S,R,Mod,reduction,merge,exactQuo)`EMR`77877
dExit`0`x`()->SetCategory``EXIT`78077
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`78364
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78648
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79420
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79468
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80303
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`81139
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81470
dFileName`0`x`()->FileNameCategory``FNAME`81604
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81673
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`81888
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82131
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`82432
dFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->Join(FiniteDivisorCategory(F,UP,UPUP,R),etc)`(F,UP,UPUP,R)`FDIV`82675
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`82904
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`83103
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`83751
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`84380
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`84979
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85278
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`85552
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86040
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`86546
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87055
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`87313
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`87392
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`87635
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`88103
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`89087
dFormat1D`0`n`()->FormatterCategory``FMT1D`92834
dFormat2D`0`n`()->FormatterCategory``FMT2D`93001
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`93115
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`93524
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`93711
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`93932
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`94038
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`0
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`94197
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`94367
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`94507
dFortranType`0`n`()->Join(SetCategory,etc)``FT`94550
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`94658
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`94714
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`94746
dFractionalIdeal`4`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:Join(FramedAlgebra(F,UP),etc))->Join(Group,etc)`(R,F,UP,A)`FRIDEAL`95014
dFractionalIdealAsModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRIMOD`95059
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`95109
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`95218
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`95473
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`95672
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`96473
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`97066
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`97206
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`97267
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`97312
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`97361
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`97913
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`97985
dGeneralModulePolynomial`6`n`(vl:List(Symbol),R:CommutativeRing,IS:OrderedSet,E:DirectProductCategory(#(vl),NonNegativeInteger),ff:(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean,P:PolynomialCategory(R,E,OrderedVariableList(vl)))->Join(Module(P),etc)`(vl,R,IS,E,ff,P)`GMODPOL`98068
dGeneralPolynomialSet`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->Join(PolynomialSetCategory(R,E,VarSet,P),etc)`(R,E,VarSet,P)`GPOLSET`98101
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`98137
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`98455
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`98573
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`99037
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`99337
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`99503
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`99614
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`100052
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`100143
dHashState`0`n`()->etc``HASHSTAT`100255
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`100322
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`100481
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`100548
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`100643
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`100981
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`101381
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`101722
dHyperellipticFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->FiniteDivisorCategory(F,UP,UPUP,R)`(F,UP,UPUP,R)`HELLFDIV`101806
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`102151
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`102346
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`102539
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`102734
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`102927
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`103121
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`103313
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`103401
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`103457
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`103552
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`103650
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`104131
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`104353
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`105337
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`105478
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`105728
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`106190
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`106247
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`106294
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`106864
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`106982
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`107012
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`107127
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`107355
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`107512
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`107628
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`108193
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`108320
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`108428
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`108804
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`108956
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`109034
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`109245
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`109338
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`109833
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`110128
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`110298
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`110632
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`110786
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`110943
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`111171
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`111434
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`111661
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`112265
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`113186
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`113358
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`113460
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`113557
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`113608
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`113706
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`113804
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`113871
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`113936
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`114304
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`114496
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`114851
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`114910
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`115156
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`115437
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`115693
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`115950
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`116239
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`116410
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`116797
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`116937
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`117099
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`117409
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`118201
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`118303
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`118405
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`118500
dMapping`1`x`special`(T,S)`MAPPING`118592
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`118832
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`118927
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(Ring,etc)`(R,Rep)`MODMON`119028
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`0
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(Polynomial(Integer),SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`0
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`0
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`0
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`0
dModularFactorizationTools1`0`n`()->ModularFactorizationOperations(U32Vector,U32Matrix,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))``MODFT1`0
dModularFactorizationTools3`1`n`(FiniteFieldCategory)->Join(ModularFactorizationOperations(PrimitiveArray(K),PrimitiveTwoDimensionalArray(K),Record(i_mod:Integer,deg:Integer),Record(mod_data:Record(i_mod:Integer,deg:Integer),p_mod:PrimitiveArray(K))),etc)`(K)`MODFT3`0
dModularField`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Field,etc)`(R,Mod,reduction,merge,exactQuo)`MODFIELD`119265
dModularRing`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Ring,etc)`(R,Mod,reduction,merge,exactQuo)`MODRING`119487
dModuleMonomial`3`n`(IS:OrderedSet,E:SetCategory,(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean)->Join(OrderedSet,etc)`(IS,E,ff)`MODMONOM`119697
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`119730
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`119779
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`119902
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`120847
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`120896
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`120943
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`121265
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`121518
dNone`0`n`()->SetCategory``NONE`121704
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`121978
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`122074
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`122168
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`122682
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`122742
dOpenMathConnection`0`x`()->etc``OMCONN`122816
dOpenMathDevice`0`x`()->etc``OMDEV`122953
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`123145
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`123219
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`123284
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`123450
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`123499
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`123684
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`123769
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`124099
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`124146
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`124452
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(%,%),etc)`(Kernels,R,var)`ODR`125131
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`125252
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`125480
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`125697
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`126026
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`126358
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`126620
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`126815
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`127000
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`127073
dParametricComplexCurve`1`x`(Type)->etc`(VT)`PARCCURV`127141
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`127489
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`127582
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`127673
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`127757
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`128032
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`128877
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`129122
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`129169
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`129405
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`129626
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`129765
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`130248
dPiDomain`0`x`()->Join(Field,etc)``HACKPI`130708
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`130986
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`131056
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`131421
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`131757
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`132092
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`132148
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`132437
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`132939
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`133303
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`133392
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`133527
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`133659
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`133888
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`134152
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`134485
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`134548
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`136240
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`136339
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`136392
dRadicalFunctionField`5`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),Fraction(UP),NonNegativeInteger)->FunctionFieldCategory(F,UP,UPUP)`(F,UP,UPUP,radicnd,n)`RADFF`136436
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`136501
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`136646
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`136713
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`136950
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`137085
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`137176
dRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`137398
dResidueRing`5`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,FPol:PolynomialCategory(F,Expon,VarSet),List(FPol))->Join(CommutativeRing,etc)`(F,Expon,VarSet,FPol,LFPol)`RESRING`137651
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`137853
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`138049
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`138086
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`138182
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`138288
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`138329
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`138398
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`138535
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`140147
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`140258
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`140346
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`140698
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`140906
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`141002
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`141075
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`141230
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`141339
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`141596
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`142262
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`143352
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`143466
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`143534
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`143620
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`0
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`144190
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`144436
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`144507
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`144609
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`144946
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`145141
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`145247
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`145658
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`146006
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`146298
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`146590
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`146708
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`147265
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`147639
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`148207
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`148369
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`148943
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`149408
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`150022
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`150996
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`151271
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`151417
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`151461
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`151784
dString`0`x`()->Join(StringCategory,etc)``STRING`151962
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`152009
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`152120
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`152378
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`152410
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`152476
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`152523
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`152635
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`152669
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`152739
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`152789
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`153013
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`153142
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`0
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`0
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`0
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`0
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`153273
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`153409
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`153675
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`154418
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`154515
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`154653
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`154803
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`154886
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`154953
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`155135
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`155292
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`155439
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`155555
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`155673
dTyped`0`n`()->VarCat``TYPED`155739
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`155902
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`156099
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`156294
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`156491
dU64Int`0`n`()->Join(Ring,etc)``U64INT`156686
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`156813
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`157009
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`157203
dUnion`1`x`special`(A,B,...,C)`UNION`157252
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`157401
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`157945
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`158272
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`158487
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`159042
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`159373
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`159893
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`160068
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`160529
dUntyped`0`n`()->VarCat``UNTYPED`160646
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`160767
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`160806
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`160933
dVectorModularReconstructor`0`n`()->etc``VECREC1`161345
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`161882
dVoid`0`x`()->etc``VOID`162162
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`162386
dWeightedPolynomials`7`n`(R:Ring,VarSet:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(R,E,VarSet),List(VarSet),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,VarSet,E,P,vl,wl,wtlevel)`WP`162897
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`163159
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`163846
dXHashTable`2`n`(Hashable,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`164050
dXmlAttribute`0`n`()->etc``XMLAT`164160
dXmlElement`0`n`()->etc``XMLEL`164326
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`164579
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`164863
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`165130
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`165431
o0`0`n`()->%`cDistributionCategory(R)``0
o0`0`n`()->%`dInputForm``0
o0`0`n`()->%`dPattern(R)``0
o0`0`n`()->%`dVectorSpaceBasis(R)``0
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`x`()->%`cAbelianMonoid``0
o0`0`x`()->%`cGradedModule(R,E)``0
o_|_`0`n`()->%`cBoundedJoinSemilattice``165641
o_|_`0`n`()->S`xLogic&(S)``0
o1`0`n`()->%`cJetBundleCategory``0
o1`0`n`()->%`dInputForm``0
o1`0`n`()->%`dPattern(R)``0
o1`0`n`()->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`x`()->%`cGradedAlgebra(R,E)``0
o1`0`x`()->%`cMagmaWithUnit``0
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o~`1`n`(%)->%`dDirectedGraph(S)``165679
o~`1`n`(%)->%`dILogic``165987
o~`1`n`(%)->%`dMultifunctionGraph(S)``166256
o-`1`n`(%)->%`dOutputForm``166564
o#`1`n`(%)->NonNegativeInteger`dTuple(S)``166617
o#`1`n`(%)->NonNegativeInteger`dXPolynomialRing(R,E)``166685
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o~`1`n`(S)->S`xBitAggregate&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``166744
o-`1`x`(%)->%`cAbelianGroup``166859
o-`1`x`(%)->%`cGradedModule(R,E)``166912
o~`1`x`(%)->%`cLogic``167021
o-`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`167083
o-`1`x`(%)->%`cVectorCategory(R)`has(R,AbelianGroup)`167144
o~`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``167207
o-`1`x`(%)->%`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o~`1`x`(%)->%`dSingleInteger``167259
o#`1`x`(%)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``167349
o#`1`x`(%)->NonNegativeInteger`cAggregate`has(%,finiteAggregate)`167402
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o/`2`n`(A,R)->%`dLocalAlgebra(A,R)``167465
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``167526
o>`2`n`(%,%)->Boolean`cJetBundleCategory``167674
o=`2`n`(%,%)->Boolean`cVarCat``167776
o=`2`n`(%,%)->Boolean`dFortranScalarType``167889
o=`2`n`(%,%)->Boolean`dILogic``167925
o=`2`n`(%,%)->Boolean`dLambda(UT)``168072
o=`2`n`(%,%)->Boolean`dLatticeJoinOfMeets``168365
o=`2`n`(%,%)->Boolean`dLatticeMeetOfJoins``168511
o=`2`n`(%,%)->Boolean`dLinearMultivariateMatrixPencil(R)``168657
o=`2`n`(%,%)->Boolean`dReference(S)``168696
o=`2`n`(%,%)->Boolean`dSKICombinators(UT)``168776
o+`2`n`(%,%)->%`cFiniteGraph(S)``169045
o\/`2`n`(%,%)->%`cJoinSemilattice``169170
o/\`2`n`(%,%)->%`cMeetSemilattice``169230
o*`2`n`(Coef,%)->%`dInnerTaylorSeries(Coef)``169291
o*`2`n`(%,Coef)->%`dInnerTaylorSeries(Coef)``169365
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o+`2`n`(%,%)->%`cSPointCategory``169439
o-`2`n`(%,%)->%`cSPointCategory``170011
o*`2`n`(D,%)->%`dJetLazyFunction(JB,D)``170482
o/`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``170625
o*`2`n`(%,%)->%`dFreeMagma(VarSet)``170706
o*`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``170757
o+`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``170873
o*`2`n`(%,%)->%`dInputForm``170985
o+`2`n`(%,%)->%`dInputForm``171058
o/`2`n`(%,%)->%`dInputForm``171131
o*`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``171204
o*`2`n`(DoubleFloat,%)->%`cSPointCategory``171637
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``171969
o*`2`n`(%,%)->%`dOutputForm``172155
o+`2`n`(%,%)->%`dOutputForm``172209
o-`2`n`(%,%)->%`dOutputForm``172263
o/`2`n`(%,%)->%`dOutputForm``172317
o<=`2`n`(%,%)->%`dOutputForm``172371
o<`2`n`(%,%)->%`dOutputForm``172426
o=`2`n`(%,%)->%`dOutputForm``172480
o>=`2`n`(%,%)->%`dOutputForm``172534
o>`2`n`(%,%)->%`dOutputForm``172589
o^`2`n`(%,%)->%`dOutputForm``172643
o~=`2`n`(%,%)->%`dOutputForm``172697
o*`2`n`(%,%)->%`dPattern(R)``172752
o+`2`n`(%,%)->%`dPattern(R)``172805
o/`2`n`(%,%)->%`dPattern(R)``172858
o^`2`n`(%,%)->%`dPattern(R)``172911
o^`2`n`(%,%)->%`dSmallOrdinal``172964
o*`2`n`(%,%)->%`dVectorSpaceBasis(R)``173112
o+`2`n`(%,%)->%`dVectorSpaceBasis(R)``173186
o+`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``173251
o-`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``173309
o/`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``173368
o+`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``173439
o/`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``173497
o-`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``173565
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``173630
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`173685
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(%,%)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``173755
o^`2`n`(%,Integer)->%`dFreeDivisionAlgebra(VAR,F)``174238
o*`2`n`(%,Integer)->%`dInnerTaylorSeries(Coef)``174275
o^`2`n`(%,Integer)->%`dInputForm``174357
o^`2`n`(%,Integer)->%`dOperator(R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(Integer,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),%)->%`dSparseEchelonMatrix(C,D)``174430
o*`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``174499
o*`2`n`(Matrix(F),%)->%`dFreeDivisionAlgebra(VAR,F)``174540
o*`2`n`(Matrix(Fraction(D)),%)->%`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`174578
o*`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``174683
o*`2`n`(Matrix(R),%)->%`dLinearMultivariateMatrixPencil(R)``174728
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``174770
o/`2`n`(M,R)->%`dLocalize(M,R)``174886
o*`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``174947
o^`2`n`(%,NonNegativeInteger)->%`dIncidenceAlgebra(R,S)``175345
o^`2`n`(%,NonNegativeInteger)->%`dInputForm``175463
o^`2`n`(%,NonNegativeInteger)->%`dPattern(R)``175536
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``175589
o*`2`n`(Permutation(Integer),%)->%`dIncidenceAlgebra(R,S)``175620
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``175718
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``175974
o^`2`n`(%,PositiveInteger)->%`cDistributionCategory(R)``176227
o^`2`n`(%,PositiveInteger)->%`dFreeDivisionAlgebra(VAR,F)``176383
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(%,R)->%`dIncidenceAlgebra(R,S)``176420
o*`2`n`(R,%)->%`dIncidenceAlgebra(R,S)``176513
o/`2`n`(%,R)->%`dLocalAlgebra(A,R)``176606
o/`2`n`(%,R)->%`dLocalize(M,R)``176667
o/`2`n`(%,R)->%`dXPolynomialRing(R,E)`has(R,Field)`176728
o*`2`n`(%,R)->%`dXPolynomialRing(R,E)``176769
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->%`dFreeModule(R,S)``176831
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,%)->%`dFreeGroup(S)``176893
o*`2`n`(%,S)->%`dFreeGroup(S)``176969
o*`2`n`(S,%)->%`dFreeMonoid(S)``177046
o*`2`n`(%,S)->%`dFreeMonoid(S)``177122
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->%`dFreeGroup(S)``177199
o*`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o*`2`n`(S,Integer)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,Integer)->S`xFunctionSpace2&(S,R,K)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Integer)->S`xQuaternionCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o*`2`n`(S,Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(SMP,%)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``177276
o^`2`n`(S,NonNegativeInteger)->%`dFreeMonoid(S)``177358
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o*`2`n`(S,R)->%`dFreeModule(R,S)``177435
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o/`2`n`(S,S)->S`xField&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace2&(S,R,K)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``177523
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``177671
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``177875
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``178028
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``178217
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``178363
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``178586
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``178693
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`178800
o*`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``178881
o/`2`n`(%,%)->Union(%,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`0
o/`2`n`(%,%)->Union(%,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`179279
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`179385
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179467
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179534
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179594
o*`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``179658
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``180056
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``180155
o=`2`x`(%,%)->Boolean`cBasicType``180241
o~=`2`x`(%,%)->Boolean`cBasicType``180302
o>=`2`x`(%,%)->Boolean`cPartialOrder``180366
o>`2`x`(%,%)->Boolean`cPartialOrder``180419
o<=`2`x`(%,%)->Boolean`cPartialOrder``180462
o<`2`x`(%,%)->Boolean`cPartialOrder``180512
o<`2`x`(%,%)->Boolean`cPermutationCategory(S)``180552
o<`2`x`(%,%)->Boolean`dPermutationGroup(S)``180706
o<=`2`x`(%,%)->Boolean`dPermutationGroup(S)``180809
o-`2`x`(%,%)->%`cAbelianGroup``181019
o+`2`x`(%,%)->%`cAbelianSemiGroup``181114
o^`2`x`(%,%)->%`cElementaryFunctionCategory``181174
o/`2`x`(%,%)->%`cField``181231
o-`2`x`(%,%)->%`cGradedModule(R,E)``181327
o+`2`x`(%,%)->%`cGradedModule(R,E)``181514
o/`2`x`(%,%)->%`cGroup``181694
o*`2`x`(%,%)->%`cMagma``181766
o-`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`181857
o*`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`181976
o+`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``182092
o^`2`x`(%,Coef)->%`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`182204
o*`2`x`(%,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`182424
o*`2`x`(%,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``182556
o-`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`182688
o+`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianSemiGroup)`182843
o^`2`x`(%,%)->%`dCardinalNumber``182991
o*`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``183099
o/\`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``183507
o\/`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``183615
o+`2`x`(%,%)->%`dColor``183729
o-`2`x`(%,%)->%`dDatabase(S)``183807
o+`2`x`(%,%)->%`dDatabase(S)``183967
o/`2`x`(%,%)->%`dEquation(S)`has(S,Field)`184045
o+`2`x`(%,%)->%`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o*`2`x`(DoubleFloat,%)->%`dColor``184168
o+`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``184270
o*`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``184355
o/\`2`x`(%,%)->%`dSingleInteger``184429
o\/`2`x`(%,%)->%`dSingleInteger``184550
o/`2`x`(%,F)->%`cExtensionField(F)``184670
o^`2`x`(%,Fraction(Integer))->%`cRadicalCategory``184728
o*`2`x`(Integer,%)->%`cAbelianGroup``184813
o^`2`x`(%,Integer)->%`cDivisionRing``184882
o/`2`x`(%,Integer)->%`cFloatingPointSystem``184954
o^`2`x`(%,Integer)->%`cGroup``185033
o*`2`x`(Integer,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`185105
o^`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`185148
o^`2`x`(%,Integer)->%`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`185294
o*`2`x`(Integer,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`185402
o^`2`x`(%,Integer)->%`dModuleOperator(R,M)``185495
o*`2`x`(NonNegativeInteger,%)->%`cAbelianMonoid``185527
o^`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``185595
o^`2`x`(%,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`185694
o^`2`x`(%,NonNegativeInteger)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``185812
o*`2`x`(%,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``185882
o*`2`x`(PositiveInteger,%)->%`cAbelianSemiGroup``185947
o^`2`x`(%,PositiveInteger)->%`cMagma``186107
o*`2`x`(PositiveInteger,%)->%`dColor``186206
o/`2`x`(%,R)->%`cAbelianMonoidRing(R,E)`has(R,Field)`186308
o*`2`x`(R,%)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`186371
o*`2`x`(%,R)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`186467
o*`2`x`(%,R)->%`cGradedModule(R,E)``186560
o*`2`x`(R,%)->%`cGradedModule(R,E)``186609
o*`2`x`(R,%)->%`cLeftModule(R)``186657
o/`2`x`(%,R)->%`cLieAlgebra(R)`has(R,Field)`186767
o/`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`186830
o*`2`x`(R,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`186917
o*`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`187010
o/`2`x`(%,R)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`187106
o*`2`x`(%,R)->%`cRightModule(R)``187193
o*`2`x`(R,%)->%`cVectorCategory(R)`has(R,SemiGroup)`187304
o*`2`x`(%,R)->%`cVectorCategory(R)`has(R,SemiGroup)`187400
o*`2`x`(%,R)->%`cXFreeAlgebra(vl,R)``187493
o*`2`x`(Row,%)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`187603
o*`2`x`(Row,%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``187732
o-`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianGroup)`187861
o+`2`x`(S,%)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`187925
o+`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`187982
o-`2`x`(%,S)->%`dEquation(S)`has(S,AbelianGroup)`188046
o-`2`x`(S,%)->%`dEquation(S)`has(S,AbelianGroup)`188146
o+`2`x`(%,S)->%`dEquation(S)`has(S,AbelianSemiGroup)`188246
o+`2`x`(S,%)->%`dEquation(S)`has(S,AbelianSemiGroup)`188339
o*`2`x`(%,S)->%`dEquation(S)`has(S,SemiGroup)`188432
o*`2`x`(S,%)->%`dEquation(S)`has(S,SemiGroup)`188530
o/`2`x`(SparseMultivariatePolynomial(R,K),SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`188628
o/`2`x`(S,S)->%`cQuotientFieldCategory(S)``188716
o=`2`x`(S,S)->%`dEquation(S)``188790
o-`2`x`(%,%)->Union(%,"failed")`dCardinalNumber``188828
o+`2`x`(UP,%)->%`dFullPartialFractionExpansion(F,UP)``188937
o*`2`x`(vl,%)->%`cXFreeAlgebra(vl,R)``188997
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``189072
oabs`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``189218
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189284
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedRing&(S)``0
oabs`1`x`(%)->%`cComplexCategory(R)`has(R,RealNumberSystem)`189361
oabs`1`x`(%)->%`cOrderedRing``189444
oabs`1`x`(%)->%`cSpecialFunctionCategory``189504
oabs`1`x`(%)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`189564
oabs`1`x`(%)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`189692
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``189779
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``189860
oacos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``189941
oacos`1`n`(F)->F`pElementaryFunction(R,F)``190009
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190078
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190148
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``190218
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``190290
oacos`1`x`(%)->%`cArcTrigonometricFunctionCategory``190364
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``190727
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190808
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190899
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``190990
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191078
oacosh`1`x`(%)->%`cArcHyperbolicFunctionCategory``191168
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191237
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191327
oacot`1`n`(F)->F`pElementaryFunction(R,F)``191415
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``191487
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``191560
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``191633
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191708
oacot`1`x`(%)->%`cArcTrigonometricFunctionCategory``191785
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``191845
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``191929
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192023
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192117
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192208
oacoth`1`x`(%)->%`cArcHyperbolicFunctionCategory``192301
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192373
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192463
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``192551
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``192622
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192694
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192766
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192840
oacsc`1`x`(%)->%`cArcTrigonometricFunctionCategory``192916
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``192975
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``193058
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``193151
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``193244
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``193334
oacsch`1`x`(%)->%`cArcHyperbolicFunctionCategory``193426
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193497
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193587
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``193675
oadaptive?`0`n`()->Boolean`dPlot``193727
oadaptive`0`x`()->Boolean`pGraphicsDefaults``193799
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``193876
oadaptive`1`x`(Boolean)->%`dDrawOption``193984
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``194164
oadaptive3D?`0`n`()->Boolean`dPlot3D``194374
oaddALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``194449
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(%,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->%`cFiniteGraph(S)``194588
oaddArrow`3`n`(A,S,S)->A`xPoset&(A,S)``0
oaddArrow`3`n`(%,S,S)->%`cPoset(S)``194659
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(%,String,NonNegativeInteger,NonNegativeInteger)->%`cFiniteGraph(S)``194790
oaddArrow!`4`n`(%,String,S,S)->%`cFiniteGraph(S)``194999
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->%`cFiniteGraph(S)``195182
oaddArrows2Din2D`5`n`(%,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``195442
oaddBadValue`2`n`(%,Any)->%`dPattern(R)``195584
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``195737
oaddChild!`2`n`(%,%)->Void`dScene(PT)``195884
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``195978
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``196209
oaddColumnsRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``196351
oaddCube`2`n`(%,CubicalFacet)->%`dFiniteCubicalComplex(VS)``196527
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``196650
oaddImpliedFaces`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``196936
oaddImpliedFaces`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``197236
oadditive?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``197542
oaddMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``197646
oaddMatchRestricted`4`n`(Pattern(R),S,%,S)->%`dPatternMatchResult(R,S)``197887
oaddMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``198265
oaddmod`3`x`(%,%,%)->%`cIntegerNumberSystem``198344
oaddNode!`3`n`(%,String,Scene(PT))->%`dSceneNamedPoints(PT)``198428
oaddObject!`2`n`(A,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->A`xPoset&(A,S)``0
oaddObject!`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject!`2`n`(%,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->%`cFiniteGraph(S)``198488
oaddObject!`2`n`(%,S)->%`cFiniteGraph(S)``198581
oaddObject`2`n`(%,S)->%`cPoset(S)``198792
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``198893
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199021
oaddPlot1Din2Dparametric`4`n`(%,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199149
oaddPlot1Din3Dparametric`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199299
oaddPlot1Din3Dparametric`4`n`(%,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199451
oaddPlot2Din3D`5`n`(%,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199601
oaddPlot2Din3Dparametric`5`n`(%,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199735
oaddPlot2Din3Dparametric`5`n`(%,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199889
oaddPoint2`2`n`(%,Point(R))->%`dSubSpace(n,R)``200043
oaddPoint`2`n`(%,Point(R))->NonNegativeInteger`dSubSpace(n,R)``200222
oaddPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``200383
oaddPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``201165
oaddPointLast`4`n`(%,%,Point(R),NonNegativeInteger)->%`dSubSpace(n,R)``201915
oaddPoints!`3`n`(%,String,%)->%`dSceneNamedPoints(PT)``202218
oadd_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``202282
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202369
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``202479
oaddRowsColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202612
oaddSceneArrow`6`n`(%,String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``202788
oaddSceneArrow`7`n`(%,%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``202929
oaddSceneArrows`4`n`(%,List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``203083
oaddSceneBox`2`n`(%,DoubleFloat)->%`dScene(PT)``203212
oaddSceneClip`2`n`(%,SBoundary(PT))->%`dScene(PT)``203319
oaddSceneDef`3`n`(%,String,%)->%`dScene(PT)``203426
oaddSceneGraph`5`n`(%,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``203539
oaddSceneGrid`2`n`(%,SBoundary(PT))->%`dScene(PT)``203674
oaddSceneGrid`3`n`(%,DoubleFloat,SBoundary(PT))->%`dScene(PT)``203781
oaddSceneGroup`1`n`(%)->%`dScene(PT)``203900
oaddSceneIFS`2`n`(%,SceneIFS(PT))->%`dScene(PT)``204003
oaddSceneIFS`3`n`(%,List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``204109
oaddSceneLine`2`n`(%,List(PT))->%`dScene(PT)``204222
oaddSceneLine`4`n`(%,%,%,DoubleFloat)->%`dScene(PT)``204331
oaddSceneLine`5`n`(%,%,%,DoubleFloat,Boolean)->%`dScene(PT)``204457
oaddSceneLines`2`n`(%,List(List(PT)))->%`dScene(PT)``204583
oaddSceneMaterial`2`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``204694
oaddSceneMaterial`4`n`(%,DoubleFloat,String,String)->%`dScene(PT)``204810
oaddSceneNamedPoints`2`n`(%,SceneNamedPoints(PT))->%`dScene(PT)``204946
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``205067
oaddSceneRuler`4`n`(%,Symbol,PT,SBoundary(PT))->%`dScene(PT)``205197
oaddSceneShape`2`n`(%,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``205325
oaddSceneShape`2`n`(%,SBoundary(PT))->%`dScene(PT)``205437
oaddSceneText`2`n`(%,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``205549
oaddSceneText`4`n`(%,List(String),NonNegativeInteger,PT)->%`dScene(PT)``205658
oaddSceneText`4`n`(%,String,NonNegativeInteger,PT)->%`dScene(PT)``205778
oaddSceneTransform`2`n`(%,STransform(PT))->%`dScene(PT)``205898
oaddSceneUse`2`n`(%,String)->%`dScene(PT)``206017
oaddSimplex`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``206123
oadd_slots`2`n`(List(Integer),%)->Void`dVectorModularReconstructor``206272
oaddVertex2`2`n`(%,Record(left:NonNegativeInteger,right:NonNegativeInteger))->%`dProductFacet``206367
oaddVertex`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``206410
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``206453
oaddWArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,W)->%`dWeightedGraph(S,W)``206628
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(%)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``206891
oadjoint`1`n`(%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(%)->%`dPartialDifferentialOperator(R,Var)``207283
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)``207349
oadjoint`1`x`(%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`207408
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`207480
oadjoint`2`n`(%,%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(%,%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`207662
oadmissibleLinearSystem`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``207780
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207834
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(%)->%`cSpecialFunctionCategory``207914
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207979
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(%)->%`cSpecialFunctionCategory``208078
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``208166
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(%)->%`cSpecialFunctionCategory``208246
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``208312
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(%)->%`cSpecialFunctionCategory``208412
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oAleph`1`x`(NonNegativeInteger)->%`dCardinalNumber``208501
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``208571
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``208701
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``208795
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(%)->Boolean`cExtensionField(F)``209119
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,%)->Boolean`cTriangularSetCategory(R,E,V,P)``209237
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``209358
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``209533
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),OutputForm)->%`dRealClosure(TheField)``209786
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``209841
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``209962
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(%)->List(V)`cTriangularSetCategory(R,E,V,P)``210083
oalgextint`5`n`((UP)->UP,(List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Fraction(UP),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``210212
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``210524
oalgextint_base`3`n`((UP)->UP,(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``210787
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``211074
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``211235
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``211420
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``211523
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``211600
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``211693
oalg_split_roots`3`n`(List(F),Kernel(F),Kernel(F))->List(Record(funs:List(F),nroot:F,npow1:Integer,npow2:Integer))`pRootFSSplit(R,F)``211877
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(%,(UP)->UP)->Record(num:%,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``212062
oalgtower`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`x`(%)->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212375
oalgtower`1`x`(List(%))->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212425
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``212679
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``212965
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``213009
oallDegrees`1`x`(Boolean)->%`dGuessOption``213140
oallIndices`1`n`(%)->List(C)`dSparseEchelonMatrix(C,D)``213392
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``213497
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``213614
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(%)`cRealClosedField``213731
oallRootsOf`1`x`(Polynomial(Integer))->List(%)`cRealClosedField``213818
oallRootsOf`1`x`(Polynomial(%))->List(%)`cRealClosedField``213905
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(%)`cRealClosedField``213992
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(%)`cRealClosedField``214079
oallRootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cRealClosedField``214166
oallRootsOf`1`x`(ThePols)->List(%)`cRealRootCharacterizationCategory(TheField,ThePols)``214253
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214360
oallSimpleCells`2`n`(ThePols,Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214520
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dCubicalFacet``214603
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dOrientedFacet``214705
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dCubicalFacet``214807
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dOrientedFacet``214910
oAlpha`0`n`()->Symbol`pMathematicalSymbols``215013
oalpha`0`n`()->Symbol`pMathematicalSymbols``215082
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215149
oalphabetic`0`x`()->%`dCharacterClass``215290
oalphabetic?`1`x`(%)->Boolean`dCharacter``215416
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215531
oalphanumeric`0`x`()->%`dCharacterClass``215631
oalphanumeric?`1`x`(%)->Boolean`dCharacter``215761
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``215903
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``216009
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``216575
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``216967
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``217217
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``217467
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``217874
oAnd`2`n`(%,%)->%`dIndexedBits(mn)``217973
oand`2`n`(%,%)->%`dOutputForm``218066
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``218123
oand`2`x`(%,%)->%`cBitAggregate``218219
oand`2`x`(%,%)->%`dBoolean``218312
oAnd`2`x`(%,%)->%`dSingleInteger``218398
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``218511
oangerJ`2`x`(%,%)->%`cSpecialFunctionCategory``218572
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(%,%)->Boolean`cRng``218633
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``218727
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``218801
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``218996
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``219191
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``219352
oantiCommutator`2`n`(%,%)->%`cNonAssociativeSemiRng``219513
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``219574
oantipode`1`x`(%)->%`cHopfAlgebra(R,MxM)``219612
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`219684
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`219895
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``220106
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`220317
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`220895
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`221491
oany`2`x`(SExpression,None)->%`dAny``221791
oappend!`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``221977
oappend`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``222055
oappend`2`x`(%,%)->%`dList(S)``222132
oappendPoint`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``222291
oappendRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``222488
oappendSupport!`2`n`(%,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``222581
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``222659
oapply`2`n`(%,Partition)->R`cSequenceCategory(R)``222736
oapply`2`x`(Matrix(R),%)->%`cFramedNonAssociativeAlgebra(R)``222878
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``223146
oapply`3`n`(%,Integer,Integer)->R`dIncidenceAlgebra(R,S)``223279
oapply`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``223340
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``223417
oapply`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``223578
oapply`3`n`(%,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``223687
oapply`3`n`(%,S,S)->R`dIncidenceAlgebra(R,S)``223796
oapply`3`x`(%,R,R)->R`cUnivariateSkewPolynomialCategory(R)``223965
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``224083
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`x`(Symbol,%)->%`cFunctionSpace2(R,K)``224219
oapplyQuote`2`x`(Symbol,List(%))->%`cFunctionSpace2(R,K)``224278
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`3`x`(Symbol,%,%)->%`cFunctionSpace2(R,K)``224367
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`4`x`(Symbol,%,%,%)->%`cFunctionSpace2(R,K)``224436
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`5`x`(Symbol,%,%,%,%)->%`cFunctionSpace2(R,K)``224515
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``224604
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``224843
oapply_taylor`2`n`(Stream(Coef),%)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``224983
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``225224
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``225288
oapproximants`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``225351
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``225552
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`225655
oapproximate`2`x`(%,%)->Fraction(Integer)`cRealClosedField``225790
oapproximate`2`x`(%,Integer)->Integer`cPAdicIntegerCategory(p)``225887
oapproximate`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``226028
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``226158
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``226281
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``226524
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``226576
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``226636
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`226863
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226956
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`227096
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`227253
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``228539
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``228594
oargscript`2`x`(%,List(OutputForm))->%`dSymbol``228650
oargument`1`n`(%)->E`dFourierComponent(E)``228757
oargument`1`n`(%)->List(S)`cKernelCategory(S)``228835
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`x`(%)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`228913
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``228988
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``229118
oargumentList!`3`n`(Symbol,List(Symbol),%)->Void`dTheSymbolTable``229250
oargumentListOf`2`n`(Symbol,%)->List(Symbol)`dTheSymbolTable``229382
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``229459
oarity`1`x`(%)->Union(NonNegativeInteger,"failed")`dBasicOperator``229568
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``229688
oarray2`1`n`(List(List(R)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oarray2`1`x`(List(List(R)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``230485
oarrayStack`1`x`(List(S))->%`dArrayStack(S)``230577
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowName`3`n`(%,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``230745
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230866
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230918
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``231004
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``231095
oasec`1`n`(F)->F`pElementaryFunction(R,F)``231181
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``231251
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``231322
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``231393
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``231466
oasec`1`x`(%)->%`cArcTrigonometricFunctionCategory``231541
oasech`1`n`(F)->F`pElementaryFunction(R,F)``231599
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``231681
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``231773
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``231865
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``231954
oasech`1`x`(%)->%`cArcHyperbolicFunctionCategory``232045
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``232115
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``232206
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``232295
oasin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``233092
oasin`1`n`(F)->F`pElementaryFunction(R,F)``233161
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``233229
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``233298
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``233367
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``233438
oasin`1`x`(%)->%`cArcTrigonometricFunctionCategory``233511
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``233873
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``233953
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``234043
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``234133
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``234220
oasinh`1`x`(%)->%`cArcHyperbolicFunctionCategory``234309
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``234377
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``234468
oassert`2`x`(%,Symbol)->%`dBasicOperator``234557
oassign`2`n`(%,%)->%`dOutputForm``234708
oassign`2`n`(Symbol,Expression(Complex(Float)))->%`dFortranCode``234786
oassign`2`n`(Symbol,Expression(Float))->%`dFortranCode``234871
oassign`2`n`(Symbol,Expression(Integer))->%`dFortranCode``234956
oassign`2`n`(Symbol,Expression(MachineComplex))->%`dFortranCode``235041
oassign`2`n`(Symbol,Expression(MachineFloat))->%`dFortranCode``235126
oassign`2`n`(Symbol,Expression(MachineInteger))->%`dFortranCode``235211
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->%`dFortranCode``235296
oassign`2`n`(Symbol,Matrix(Expression(Float)))->%`dFortranCode``235381
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->%`dFortranCode``235466
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->%`dFortranCode``235551
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->%`dFortranCode``235636
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->%`dFortranCode``235721
oassign`2`n`(Symbol,Matrix(MachineComplex))->%`dFortranCode``235806
oassign`2`n`(Symbol,Matrix(MachineFloat))->%`dFortranCode``235891
oassign`2`n`(Symbol,Matrix(MachineInteger))->%`dFortranCode``235976
oassign`2`n`(Symbol,String)->%`dFortranCode``236061
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->%`dFortranCode``236146
oassign`2`n`(Symbol,Vector(Expression(Float)))->%`dFortranCode``236231
oassign`2`n`(Symbol,Vector(Expression(Integer)))->%`dFortranCode``236316
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->%`dFortranCode``236401
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->%`dFortranCode``236486
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->%`dFortranCode``236571
oassign`2`n`(Symbol,Vector(MachineComplex))->%`dFortranCode``236656
oassign`2`n`(Symbol,Vector(MachineFloat))->%`dFortranCode``236741
oassign`2`n`(Symbol,Vector(MachineInteger))->%`dFortranCode``236826
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->%`dFortranCode``236911
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->%`dFortranCode``237085
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->%`dFortranCode``237259
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->%`dFortranCode``237433
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->%`dFortranCode``237607
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->%`dFortranCode``237781
oassoc`2`x`(Key,%)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``237955
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`238114
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``238312
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(%,%)->Boolean`cEntireRing``238461
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``238592
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``238672
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(%,%,%)->%`cNonAssociativeRng``238752
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``238822
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`239171
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``239520
oatan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``239572
oatan`1`n`(F)->F`pElementaryFunction(R,F)``239641
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239712
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239784
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239856
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239930
oatan`1`x`(%)->%`cArcTrigonometricFunctionCategory``240006
oatan`2`x`(%,%)->%`dDoubleFloat``240425
oatan`2`x`(%,%)->%`dFloat``240512
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``240599
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``240645
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``240728
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``240821
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``240914
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``241004
oatanh`1`x`(%)->%`cArcHyperbolicFunctionCategory``241096
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241167
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241258
oatom?`1`n`(%)->Boolean`dILogic``241347
oatom?`1`n`(%)->Boolean`dLambda(UT)``241473
oatom?`1`n`(%)->Boolean`dLatticeJoinOfMeets``241626
oatom?`1`n`(%)->Boolean`dLatticeMeetOfJoins``241752
oatom?`1`n`(%)->Boolean`dSKICombinators(UT)``241878
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``242004
oatom?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``242093
oatoms`1`n`(%)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``242159
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``242252
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``242318
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``243123
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``243198
oaugment`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``243378
oaugment`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``243480
oaugment`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``243912
oautoReduce`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``244012
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(%,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``244161
oaxes`2`x`(%,String)->Void`dThreeDimensionalViewport``244323
oaxes`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``244555
oaxes`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``244806
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``245070
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``245159
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``245270
oback`1`x`(%)->S`cQueueAggregate(S)``245862
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``246010
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``246252
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``246290
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``246328
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->%`dBalancedBinaryTree(S)``246460
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``246578
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``246768
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``246933
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``247009
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``247091
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``247664
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`248384
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`248616
obase`0`n`()->PositiveInteger`dMachineFloat``248848
obase`0`x`()->%`cIntegerNumberSystem``248899
obase`0`x`()->PositiveInteger`cFloatingPointSystem``248987
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``249077
obase`1`x`(%)->List(S)`dPermutationGroup(S)``249138
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``249200
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``249293
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``249608
obasis`0`n`()->Vector(%)`cFramedModule(R)``249795
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``249858
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``249956
obasis`1`n`(%)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``250050
obasis`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``250128
obasis`1`x`(PositiveInteger)->Vector(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`250212
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`250303
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``250375
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``250687
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``250948
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``251107
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``251276
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``251400
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``251580
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``251761
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``251943
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``252171
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``252296
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``252477
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``252660
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``252767
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``252817
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``252917
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``253061
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``253149
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``253229
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``253320
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace2&(S,K)``253381
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace2&(S,R,K)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace2(K)``253468
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``253555
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``253879
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`254038
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``254137
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``254231
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``254332
obesselI`2`x`(%,%)->%`cSpecialFunctionCategory``254547
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``254628
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``254843
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``254944
obesselJ`2`x`(%,%)->%`cSpecialFunctionCategory``255150
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``255222
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``255428
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``255529
obesselK`2`x`(%,%)->%`cSpecialFunctionCategory``255928
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``256010
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``256410
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``256511
obesselY`2`x`(%,%)->%`cSpecialFunctionCategory``256913
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``256986
oBeta`0`n`()->Symbol`pMathematicalSymbols``257388
obeta`0`n`()->Symbol`pMathematicalSymbols``257455
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``257520
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``257607
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``257648
oBeta`2`x`(%,%)->%`cSpecialFunctionCategory``257703
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``257772
oBeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``257827
oBeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``257926
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`257991
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``258127
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`258235
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obinary`1`x`(Fraction(Integer))->%`dBinaryExpansion``258390
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``258464
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``258794
obinary`2`n`(%,List(%))->%`dInputForm``259124
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``259240
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``259292
obinarySearchTree`1`x`(List(S))->%`dBinarySearchTree(S)``259516
obinaryTournament`1`x`(List(S))->%`dBinaryTournament(S)``259616
obinaryTree`1`x`(S)->%`dBinaryTree(S)``259734
obinaryTree`3`x`(%,S,%)->%`dBinaryTree(S)``259839
obind`1`n`(%)->%`dLambda(UT)``259973
obinomial`2`n`(%,%)->%`dOutputForm``260064
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``260165
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``260342
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``260387
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`x`(%,%)->%`cCombinatorialFunctionCategory``260520
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``260720
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(%,%,NonNegativeInteger)->%`cFiniteAbelianMonoidRing(R,E)`has(%,CommutativeRing)`260928
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``261031
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``261273
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``261576
obirth`1`n`(%)->%`dSubSpace(n,R)``261967
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(%,%)->Boolean`cIntegerNumberSystem``262004
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``262102
obits`0`x`()->PositiveInteger`cFloatingPointSystem``262209
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`262274
obits`2`x`(NonNegativeInteger,Boolean)->%`dBits``262367
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``262440
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``262564
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``262662
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``262823
oblankSeparate`1`n`(List(%))->%`dOutputForm``262991
oblock`1`n`(List(%))->%`dFortranCode``263086
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(%)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``263176
oblockElimination`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``263323
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``263432
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`263824
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``264178
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``264299
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(%,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``264420
oblockSplit`3`x`(%,PositiveInteger,PositiveInteger)->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``264797
oblockStructure`1`n`(%)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``265046
oblue`0`x`()->%`dColor``265341
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``265416
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``265500
obooleanConvolution`2`n`(%,%)->%`cDistributionCategory(R)``265594
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``265710
obooleanCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``265833
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``265941
obooleanCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``266094
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``266200
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``266333
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``266374
obottom`1`x`(%)->S`cDequeueAggregate(S)``266439
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``266520
oboundary`1`n`(%)->%`dFiniteCubicalComplex(VS)``266739
oboundary`1`n`(%)->%`dFiniteSimplicialComplex(VS)``266957
oboundary`1`n`(%)->List(%)`dCubicalFacet``267156
oboundary`1`n`(%)->List(%)`dOrientedFacet``267225
oboundary`2`n`(%,DoubleFloat)->SBoundary(PT)`dScene(PT)``267294
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`268183
obox`1`n`(%)->%`dOutputForm``268243
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``268292
obox`1`n`(S)->S`xExpressionSpace2&(S,K)``0
obox`1`n`(String)->%`dOutputBox``268477
obox`1`x`(%)->%`cExpressionSpace2(K)``268547
oboxBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``268784
obrace`1`n`(%)->%`dOutputForm``269008
obrace`1`n`(List(%))->%`dOutputForm``269095
obracket`1`n`(%)->%`dOutputForm``269226
obracket`1`n`(List(%))->%`dOutputForm``269307
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``269441
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``269685
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``269929
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``270065
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``270201
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``270277
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``270356
obright`1`x`(Color)->%`dPalette``270441
obright`1`x`(List(String))->List(String)`pDisplayPackage``270535
obright`1`x`(String)->List(String)`pDisplayPackage``270637
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``270726
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``270886
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``271183
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``271279
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``271416
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``271552
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``271710
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``271968
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`272491
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``272534
obuild`3`n`(R,IS,E)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``272582
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``272629
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``272744
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``272915
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``273059
oBY`2`x`(%,Integer)->%`cSegmentCategory(S)``273206
ocAcos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273305
ocAcosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273431
ocAcot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273574
ocAcoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273703
ocAcsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273849
ocAcsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`273977
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``274122
ocall`1`n`(String)->%`dFortranCode``274164
ocanonicalBasis`1`n`(NonNegativeInteger)->%`dVectorSpaceBasis(R)``274239
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``274340
ocanonicalMoebiusFunction`1`n`(List(P))->%`dGeneralizedFiniteMoebiusFunction(P,R)``274446
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``274525
ocar`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``274640
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(%)->NonNegativeInteger`cFiniteSetAggregate(S)``274696
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``274804
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``275035
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``275163
ocartesian`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``275245
ocartesian`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``275705
ocartesian`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``275827
ocartesian`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``276252
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``276677
ocAsec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276775
ocAsech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276901
ocAsin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277044
ocAsinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277168
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``277309
ocAtan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277373
ocAtanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277500
ocCos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277644
ocCosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277766
ocCot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277900
ocCoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`278025
ocCsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`278162
ocCsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`278286
ocdr`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``278422
oceiling`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``278493
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(%)->%`cRealNumberSystem``278572
oceiling`1`x`(%)->%`cSpecialFunctionCategory``278635
oceiling`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`278714
ocenter`1`n`(%)->%`dOutputForm``278793
ocenter`1`x`(%)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``278855
ocenter`2`n`(%,Integer)->%`dOutputForm``278942
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``279025
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``279311
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``279630
ocExp`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279837
ochain`1`n`(%)->ChainComplex`dDeltaComplex(VS)``279964
ochain`1`n`(%)->ChainComplex`dFiniteCubicalComplex(VS)``280047
ochain`1`n`(%)->ChainComplex`dFiniteSimplicialComplex(VS)``280130
ochainComplex`1`n`(List(Matrix(Integer)))->%`dChainComplex``280326
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``280345
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->%`dMachineFloat``280456
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``280517
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``280674
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``280756
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``280862
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``280968
ochar`1`x`(Integer)->%`dCharacter``281108
ochar`1`x`(String)->%`dCharacter``281248
ocharacter?`1`n`(%)->Boolean`dFortranScalarType``281329
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace2&(S,R,K)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``281425
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``281496
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``281605
ocharacteristicPolynomial`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial(R)``281708
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``281813
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``281994
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``282167
ocharacteristicPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)``282327
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomial(R)``282476
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``282764
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``282943
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``283114
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``283266
ocharacteristicSerie`1`x`(List(P))->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``283554
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``283684
ocharacteristicSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``284063
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``284189
ocharClass`1`x`(List(Character))->%`dCharacterClass``284849
ocharClass`1`x`(String)->%`dCharacterClass``284968
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``285089
ocharlierC`3`x`(%,%,%)->%`cSpecialFunctionCategory``285154
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``285219
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``285293
ochar_pol_via_berkovitz`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial4(R)``285404
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`285492
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``285588
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(%)->%`cFiniteFieldCategory``285680
ocharthRoot`1`x`(%)->Union(%,"failed")`cCharacteristicNonZero``285807
ocharthRoot`1`x`(%)->Union(%,"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`285925
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``286046
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``286338
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``286530
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``286817
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``287004
ocheck`1`x`(%)->%`cThreeSpaceCategory(R)``287269
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->%`dGuessOption``287395
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``287683
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``287719
ocheckExtraValues`1`x`(Boolean)->%`dGuessOption``287874
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``288067
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``288328
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``288607
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``288715
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``288837
ocheckType`1`n`(String)->String`pFortranCodeTools``288926
oChi`0`n`()->Symbol`pMathematicalSymbols``288953
ochi`0`n`()->Symbol`pMathematicalSymbols``289018
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``289081
oChi`1`x`(%)->%`cLiouvillianFunctionCategory``289141
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``289273
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``289333
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild`2`n`(%,NonNegativeInteger)->%`dSubSpace(n,R)``289393
ochild?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`289435
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(%)->List(%)`dSubSpace(n,R)``289516
ochildren`1`x`(%)->List(%)`cRecursiveAggregate(S)``289556
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``289665
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``289910
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``290118
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``290178
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``290382
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorModularReconstructor``290470
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``290590
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``290632
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``290673
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``290711
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``290806
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``291205
oCi`1`x`(%)->%`cLiouvillianFunctionCategory``291260
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``291386
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``291441
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``291496
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``291562
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``291676
oclass`1`n`(%)->NonNegativeInteger`cJetBundleCategory``291790
oclass`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``291910
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclassicalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``292021
oclassicalCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``292141
oclassicalCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``292253
oclearCache`0`n`()->Void`pSortedCache(S)``292358
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``292404
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``292588
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``292737
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``292921
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``293066
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``293138
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``293232
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``293301
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``293381
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``293449
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``294034
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``294305
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``294582
oclip`1`x`(Boolean)->%`dDrawOption``294866
oclip`1`x`(List(Segment(Float)))->%`dDrawOption``295030
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``295188
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``295503
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``295720
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``296075
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``296464
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``296558
oclipSurface`2`x`(%,String)->Void`dThreeDimensionalViewport``296723
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``297029
ocLog`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297373
oclose!`1`n`(%)->Void`dBasicFile``297498
oclose!`1`n`(%)->Void`dBasicKeyedAccessFile``297528
oclose`1`n`(%)->Void`dTwoDimensionalViewport``297579
oclose!`1`x`(%)->%`cFileCategory(Name,S)``297783
oclose!`1`x`(%)->%`dLibrary``297861
oclose`1`x`(%)->Void`dThreeDimensionalViewport``297942
oclose`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``298150
ocloseComponent`3`n`(%,List(NonNegativeInteger),Boolean)->%`dSubSpace(n,R)``298192
oclosed?`1`n`(%)->Boolean`dSubSpaceComponentProperty``298660
oclosed?`1`n`(%)->Boolean`dTubePlot(Curve)``298699
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``298778
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``298908
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``299030
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``299074
oclosedCurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``299118
oclosedCurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``299354
oclosedCurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``299616
oclosedCurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``299962
oclosedCurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``300501
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``300781
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dFunctionGraph(S)``300905
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``301031
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``301072
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``301113
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``301154
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``301209
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``301804
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``301920
ocoboundary`3`n`(%,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``302036
ocoChain`1`n`(%)->CoChainComplex(VS)`dDeltaComplex(VS)``302104
ocoChain`1`n`(%)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``302187
ocoChainComplex`1`n`(ChainComplex)->%`dCoChainComplex(VS)``302391
ocoChainComplex`1`n`(List(Matrix(Integer)))->%`dCoChainComplex(VS)``302435
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``302454
ocode`1`n`(%)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:%,elseClause:%),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(%),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(Polynomial(Integer)),span:Polynomial(Integer),body:%),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:%),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``302568
ocoef`2`n`(%,E)->R`dXPolynomialRing(R,E)``302665
ocoef`2`x`(%,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``302784
ocoef`2`x`(%,%)->R`cXFreeAlgebra(vl,R)``302869
ocoef`2`x`(XRecursivePolynomial(VarSet,R),%)->R`cFreeLieAlgebra(VarSet,R)``303002
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``303139
ocoefficient`2`n`(%,%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``303180
ocoefficient`2`n`(%,Integer)->R`dLaurentPolynomial(R,UP)``303374
ocoefficient`2`n`(%,JB)->D`dJetDifferential(JB,D)``303422
ocoefficient`2`n`(%,JB)->D`dJetVectorField(JB,D)``303530
ocoefficient`2`n`(%,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``303625
ocoefficient`2`n`(%,%)->R`dAntiSymm(R,lVar)``303701
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`x`(%,E)->R`cAbelianMonoidRing(R,E)``303923
ocoefficient`2`x`(%,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``304093
ocoefficient`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``304219
ocoefficient`2`x`(%,S)->R`cFreeModuleCategory(R,S)``304295
ocoefficient`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``304383
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``304600
ocoefficient`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``304760
ocoefficient`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``304910
ocoefficients`1`n`(A)->List(R)`xFreeModuleCategory&(A,R,S)``0
ocoefficients`1`n`(%)->List(D)`dJetDifferential(JB,D)``305000
ocoefficients`1`n`(%)->List(D)`dJetVectorField(JB,D)``305069
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(%)->Stream(Coef)`dInnerTaylorSeries(Coef)``305136
ocoefficients`1`n`(%)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``305477
ocoefficients`1`x`(%)->List(R)`cFreeModuleCategory(R,S)``305633
ocoefficients`1`x`(%)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``305709
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``305867
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``305930
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``306134
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(%)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(Complex(DoubleFloat))->%`dSArgand``0
ocoerce`1`n`(%)->Complex(Float)`dMachineComplex``306221
ocoerce`1`n`(Complex(Float))->%`dMachineComplex``306286
ocoerce`1`n`(Complex(Integer))->%`dMachineComplex``306352
ocoerce`1`n`(Complex(MachineFloat))->%`dMachineComplex``306418
ocoerce`1`n`(Complex(MachineInteger))->%`dMachineComplex``306484
ocoerce`1`n`(D)->%`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->%`dJetLazyFunction(JB,D)``306550
ocoerce`1`n`(%)->D`dJetLazyFunction(JB,D)``306705
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``306911
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``306963
ocoerce`1`n`(E)->%`dXPolynomialRing(R,E)``307018
ocoerce`1`n`(Equation(Expression(Complex(Float))))->%`dFortranProgram(name,returnType,arguments,symbols)``307061
ocoerce`1`n`(Equation(Expression(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``307102
ocoerce`1`n`(Equation(Expression(Integer)))->%`dFortranProgram(name,returnType,arguments,symbols)``307143
ocoerce`1`n`(Equation(Expression(MachineComplex)))->%`dFortranProgram(name,returnType,arguments,symbols)``307184
ocoerce`1`n`(Equation(Expression(MachineFloat)))->%`dFortranProgram(name,returnType,arguments,symbols)``307225
ocoerce`1`n`(Equation(Expression(MachineInteger)))->%`dFortranProgram(name,returnType,arguments,symbols)``307266
ocoerce`1`n`(Expression(Complex(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``307307
ocoerce`1`n`(Expression(Float))->%`dFortranProgram(name,returnType,arguments,symbols)``307347
ocoerce`1`n`(Expression(Integer))->%`dFortranProgram(name,returnType,arguments,symbols)``307387
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->Expression(%)`dMachineInteger``307427
ocoerce`1`n`(Expression(MachineComplex))->%`dFortranProgram(name,returnType,arguments,symbols)``307500
ocoerce`1`n`(Expression(MachineFloat))->%`dFortranProgram(name,returnType,arguments,symbols)``307540
ocoerce`1`n`(Expression(MachineInteger))->%`dFortranProgram(name,returnType,arguments,symbols)``307580
ocoerce`1`n`(%)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``307620
ocoerce`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``307660
ocoerce`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``307796
ocoerce`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``307838
ocoerce`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``307880
ocoerce`1`n`(%)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``307922
ocoerce`1`n`(%)->Float`dMachineFloat``307983
ocoerce`1`n`(FortranCode)->%`cFortranFunctionCategory``308053
ocoerce`1`n`(FortranCode)->%`cFortranMatrixCategory``308170
ocoerce`1`n`(FortranCode)->%`cFortranMatrixFunctionCategory``308287
ocoerce`1`n`(FortranCode)->%`cFortranVectorCategory``308404
ocoerce`1`n`(FortranCode)->%`cFortranVectorFunctionCategory``308521
ocoerce`1`n`(FortranCode)->%`dFortranProgram(name,returnType,arguments,symbols)``308638
ocoerce`1`n`(FortranScalarType)->%`dFortranType``308679
ocoerce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``308741
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->FreeMagma(VarSet)`dLyndonWord(VarSet)``308828
ocoerce`1`n`(FreeMonoid(VAR))->%`dFreeDivisionAlgebra(VAR,F)``308931
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``309065
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``309193
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``309297
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``309448
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(JB)->%`cJetBundleFunctionCategory(JB)``309590
ocoerce`1`n`(K)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``309672
ocoerce`1`n`(%)->LatticeMeetOfJoins`dLatticeJoinOfMeets``310393
ocoerce`1`n`(LatticeMeetOfJoins)->%`dLatticeJoinOfMeets``310452
ocoerce`1`n`(LiePolynomial(VarSet,R))->%`dXPBWPolynomial(VarSet,R)``310511
ocoerce`1`n`(List(FortranCode))->%`cFortranFunctionCategory``310553
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixCategory``310675
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixFunctionCategory``310797
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorCategory``310919
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorFunctionCategory``311041
ocoerce`1`n`(List(FortranCode))->%`dFortranProgram(name,returnType,arguments,symbols)``311163
ocoerce`1`n`(List(Integer))->%`dExtAlgBasis``311205
ocoerce`1`n`(%)->List(Integer)`dPartition``311476
ocoerce`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``311544
ocoerce`1`n`(List(S))->%`dDirectedGraph(S)``312012
ocoerce`1`n`(List(%))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(%)->List(String)`dXmlElement``312047
ocoerce`1`n`(%)->List(Vector(R))`dVectorSpaceBasis(R)``312245
ocoerce`1`n`(MachineInteger)->%`dMachineFloat``312308
ocoerce`1`n`(%)->Matrix(D)`dSparseEchelonMatrix(C,D)``312380
ocoerce`1`n`(Matrix(MachineFloat))->%`cFortranMatrixCategory``312457
ocoerce`1`n`(%)->Matrix(R)`dRectangularMatrix(m,n,R)``312534
ocoerce`1`n`(%)->Matrix(R)`dSquareMatrix(ndim,R)``312648
ocoerce`1`n`(%)->OutputForm`cSPointCategory``312761
ocoerce`1`n`(%)->OutputForm`dFortranCode``312775
ocoerce`1`n`(%)->OutputForm`dFortranType``312837
ocoerce`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``312900
ocoerce`1`n`(%)->OutputForm`dGraphImage``313041
ocoerce`1`n`(%)->OutputForm`dJetDifferentialEquation(JB,D)``313203
ocoerce`1`n`(%)->OutputForm`dLinearMultivariateMatrixPencil(R)``313301
ocoerce`1`n`(%)->OutputForm`dSBoundary(PT)``313373
ocoerce`1`n`(%)->OutputForm`dSceneIFS(PT)``313449
ocoerce`1`n`(%)->OutputForm`dScene(PT)``313513
ocoerce`1`n`(%)->OutputForm`dSTransform(PT)``313757
ocoerce`1`n`(OutputForm)->%`dTexFormat``313789
ocoerce`1`n`(%)->OutputForm`dTwoDimensionalViewport``313875
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``314057
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``314144
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``314233
ocoerce`1`n`(%)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``314323
ocoerce`1`n`(P)->%`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``314381
ocoerce`1`n`(PermutationGroup(S))->%`dDirectedGraph(S)``314480
ocoerce`1`n`(PermutationGroup(S))->%`dMultifunctionGraph(S)``314527
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->%`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`((PositiveInteger)->Coef)->%`dDirichletRing(Coef)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->%`dThreeDimensionalMatrix(R)``314619
ocoerce`1`n`(%)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``314748
ocoerce`1`n`(PrimitiveArray(S))->%`dTuple(S)``314821
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(%)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``314882
ocoerce`1`n`(%)->R`dModularField(R,Mod,reduction,merge,exactQuo)``314920
ocoerce`1`n`(%)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``314958
ocoerce`1`n`(%)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``314996
ocoerce`1`n`(Record(index:IS,exponent:E))->%`dModuleMonomial(IS,E,ff)``315034
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranFunctionCategory``315072
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixCategory``315264
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixFunctionCategory``315456
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorCategory``315648
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorFunctionCategory``315840
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`dFortranProgram(name,returnType,arguments,symbols)``316032
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->%`cCoercibleFrom(S)``316072
ocoerce`1`n`(S)->%`dMakeCachableSet(S)``316132
ocoerce`1`n`(%)->SExpression`dFortranScalarType``316201
ocoerce`1`n`(S)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``316282
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``316727
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(SMP)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``317055
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAssociationListAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->OutputForm`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(%)`dJetBundleLinearFunction(JB,D)``317137
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,K))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(%)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(Coef))->%`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->%`cSequenceCategory(R)``317185
ocoerce`1`n`(String)->%`dFortranScalarType``317230
ocoerce`1`n`(%)->String`dFortranScalarType``317519
ocoerce`1`n`(%)->String`dXmlAttribute``317597
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->%`dFortranScalarType``317650
ocoerce`1`n`(%)->Symbol`dFortranScalarType``317915
ocoerce`1`n`(Symbol)->%`dJetBundle(IVar,DVar)``317983
ocoerce`1`n`(Symbol)->%`dJetBundleSymAna(JB1,xi,eta)``318139
ocoerce`1`n`(Symbol)->%`dSwitch``318213
ocoerce`1`n`(%)->Symbol`dVariable(sym)``318253
ocoerce`1`n`(Symbol)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->Table(Symbol,FortranType)`dSymbolTable``318296
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``318353
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dUnivariateTaylorSeries(Coef,var,cen)``318491
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialExpansion(R,FE,var,cen)``318629
ocoerce`1`n`(Var)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``318738
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``318803
ocoerce`1`n`(Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``318892
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``318981
ocoerce`1`n`(Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``319083
ocoerce`1`n`(Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``319172
ocoerce`1`n`(Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``319261
ocoerce`1`n`(Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(x))->%`dUnivariateSkewPolynomial(x,R,sigma,delta)``319363
ocoerce`1`n`(VarSet)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``319426
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``319466
ocoerce`1`n`(Vector(MachineFloat))->%`cFortranVectorCategory``319640
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``319717
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``319858
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->%`dFreeDivisionAlgebra(VAR,F)``319928
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``320069
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``320142
ocoerce`1`n`(%)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``320212
ocoerce`1`n`(%)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``320285
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``320353
ocoerce`1`x`(A)->%`dAssociatedJordanAlgebra(R,A)``320436
ocoerce`1`x`(A)->%`dAssociatedLieAlgebra(R,A)``320600
ocoerce`1`x`(Character)->%`cStringAggregate``320758
ocoerce`1`x`(Col)->%`cMatrixCategory(R,Row,Col)``320849
ocoerce`1`x`(Color)->%`dPalette``320926
ocoerce`1`x`(DirectProduct(dim,R))->%`dCartesianTensor(minix,dim,R)``321030
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``321089
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``321174
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``321331
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``321782
ocoerce`1`x`(FourierComponent(E))->%`dFourierSeries(R,E)``322236
ocoerce`1`x`(Fraction(Factored(R)))->%`dPartialFraction(R)``322303
ocoerce`1`x`(%)->Fraction(Integer)`dBinaryExpansion``322595
ocoerce`1`x`(%)->Fraction(Integer)`dDecimalExpansion``322669
ocoerce`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``322744
ocoerce`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``322823
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``322897
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`323047
ocoerce`1`x`(Fraction(R))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`323109
ocoerce`1`x`(%)->Fraction(R)`dPartialFraction(R)``323171
ocoerce`1`x`(Integer)->%`cNonAssociativeRing``323273
ocoerce`1`x`(Integer)->%`dOrdSetInts``323353
ocoerce`1`x`(List(%))->%`dCartesianTensor(minix,dim,R)``323423
ocoerce`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``323513
ocoerce`1`x`(List(List(S)))->%`dPermutation(S)``323606
ocoerce`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``323931
ocoerce`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``324002
ocoerce`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``324104
ocoerce`1`x`(List(Record(k:M,c:R)))->%`cMonoidRingCategory(R,M)``324194
ocoerce`1`x`(List(S))->%`dDatabase(S)``324288
ocoerce`1`x`(List(S))->%`dDataList(S)``324343
ocoerce`1`x`(%)->List(S)`dDataList(S)``324400
ocoerce`1`x`(List(S))->%`dPermutation(S)``324465
ocoerce`1`x`(List(S))->%`dStream(S)``324693
ocoerce`1`x`(%)->OutputForm`cThreeSpaceCategory(R)``324755
ocoerce`1`x`(%)->OutputForm`dVoid``324840
ocoerce`1`x`(PiDomain)->Expression(R)`pPiCoercions(R)``324899
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``324968
ocoerce`1`x`(Polynomial(Coef))->%`dTaylorSeries(Coef)``325094
ocoerce`1`x`(Polynomial(Fraction(R)))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`325195
ocoerce`1`x`(%)->RadixExpansion(10)`dDecimalExpansion``325257
ocoerce`1`x`(%)->RadixExpansion(16)`dHexadecimalExpansion``325345
ocoerce`1`x`(%)->RadixExpansion(2)`dBinaryExpansion``325437
ocoerce`1`x`(R)->%`cAlgebra(R)``325523
ocoerce`1`x`(R)->%`cLeftAlgebra(R)``325606
ocoerce`1`x`(R)->%`cXAlgebra(R)``325696
ocoerce`1`x`(R)->%`dFourierSeries(R,E)``325739
ocoerce`1`x`(%)->R`dOrdinaryDifferentialRing(Kernels,R,var)``325805
ocoerce`1`x`(R)->%`dOrdinaryDifferentialRing(Kernels,R,var)``325889
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``325974
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``326060
ocoerce`1`x`(%)->S`cCoercibleTo(S)``326163
ocoerce`1`x`(S)->%`cDifferentialVariableCategory(S)``326229
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``326325
ocoerce`1`x`(Segment(S))->%`dUniversalSegment(S)``326459
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``326534
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dAlgebraicNumber``326615
ocoerce`1`x`(SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,Ring)`326687
ocoerce`1`x`(SquareMatrix(dim,R))->%`dCartesianTensor(minix,dim,R)``326749
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``326808
ocoerce`1`x`(%)->String`cFileNameCategory``327035
ocoerce`1`x`(String)->%`cFileNameCategory``327147
ocoerce`1`x`(String)->%`dIndexCard``327257
ocoerce`1`x`(String)->%`dSymbol``327413
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``327479
ocoerce`1`x`(Symbol)->%`dOpenMathErrorKind``327814
ocoerce`1`x`(Symbol)->%`dTaylorSeries(Coef)``328046
ocoerce`1`x`(%)->Tree(S)`dPendantTree(S)``328109
ocoerce`1`x`(ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``328147
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``328235
ocoerce`1`x`(UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``328312
ocoerce`1`x`(Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``328399
ocoerce`1`x`(Variable(x))->%`dUnivariatePolynomial(x,R)``328488
ocoerce`1`x`(VarSet)->%`cFreeLieAlgebra(VarSet,R)``328571
ocoerce`1`x`(Vector(R))->%`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``328633
ocoerce`1`x`(vl)->%`cXFreeAlgebra(vl,R)``328840
ocoerce`1`x`(%)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``328882
ocoerce`1`x`(%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``328950
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`329018
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`has(S,IntegerNumberSystem)`329339
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``329660
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``329787
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``329916
ocoerceListOfPairs`1`x`(List(List(S)))->%`dPermutation(S)``330046
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``330340
ocoercePreimagesImages`1`x`(List(List(S)))->%`dPermutation(S)``330473
ocoerce_Q`1`n`(Fraction(Integer))->F`pFunctionalSpecialFunction(R,F)``330687
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``330745
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``330863
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``330983
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`331058
ocoHomology`1`n`(%)->List(Homology)`dCoChainComplex(VS)``331129
ocoHomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``331177
ocoHomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``331227
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``331379
ocolinearity`2`n`(%,%)->DoubleFloat`cSPointCategory``332186
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocollect`1`n`(%)->%`dJetLazyFunction(JB,D)``332408
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``332501
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(%)->%`cTriangularSetCategory(R,E,V,P)``332623
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``332747
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``332881
ocolor`1`n`(Point(R))->R`pPointPackage(R)``333018
ocolor`1`x`(Integer)->%`dColor``333331
ocolorDef`3`x`(%,Color,Color)->Void`dThreeDimensionalViewport``333401
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->%`dDrawOption``333716
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``333899
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``334113
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``334349
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(%,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``334494
ocolumn`2`x`(%,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``334623
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``334748
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``334865
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``334967
ocolumnSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``335069
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`335294
ocolumnSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`335411
ocolumnSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``335529
ocommaSeparate`1`n`(List(%))->%`dOutputForm``335702
ocomment`1`n`(List(String))->%`dFortranCode``335797
ocomment`1`n`(String)->%`dFortranCode``335904
ocommon`2`n`(Symbol,List(Symbol))->%`dFortranCode``336006
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``336092
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``336216
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``336323
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``336447
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``336550
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``336634
ocommutator`2`n`(%,%)->%`dJetVectorField(JB,D)``336718
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(%,%)->%`cGroup``336799
ocommutator`2`x`(%,%)->%`cNonAssociativeRng``336873
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``336930
ocompactFraction`1`x`(%)->%`dPartialFraction(R)``336980
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``337181
ocomparison`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``337366
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``337633
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``337878
ocompile`2`n`(Symbol,List(%))->Symbol`dInputForm``337917
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``338254
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``338447
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(%)->%`dSubsetLattice(S,top)``338667
ocomplement`1`x`(%)->%`cFiniteSetAggregate(S)`has(S,Finite)`338692
ocomplement`2`n`(%,List(S))->%`dSubsetLattice(S,top)``338823
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``338848
ocomplementSpace`1`n`(%)->%`dVectorSpaceBasis(R)``338986
ocomplementSpace`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``339150
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->%`dVectorSpaceBasis(R)``339309
ocomplementSpace`2`n`(%,NonNegativeInteger)->%`dVectorSpaceBasis(R)``339520
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``339745
ocomplete`1`x`(%)->%`cLazyStreamAggregate(S)``339923
ocomplete`1`x`(%)->%`cPAdicIntegerCategory(p)``340070
ocomplete`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``340134
ocomplete`1`x`(%)->%`dContinuedFraction(R)``340283
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``340516
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``340755
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`341047
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``341258
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``341651
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``341924
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``342134
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``342303
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``342345
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``342542
ocomplex?`1`n`(%)->Boolean`dFortranScalarType``342757
ocomplex`2`x`(R,R)->%`cComplexCategory(R)``342849
ocomplex_curve`1`x`(VT)->%`dParametricComplexCurve(VT)``0
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``342908
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``343143
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``343488
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``343635
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``343782
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``343968
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``344154
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``344250
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``344346
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``344410
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`344474
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``344599
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``344724
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``344821
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``344948
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``345075
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``345191
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``345307
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``345447
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`345587
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`345664
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`345741
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`345818
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`345895
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`345972
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`346049
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``346126
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`346203
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`346315
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`346427
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`346539
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`346651
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`346732
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`346844
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``346956
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`347068
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`347195
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`347322
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`347449
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`347576
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`347701
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`347828
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`347990
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`348152
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`348314
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`348446
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`348608
ocomplex_roots`1`n`(SparseUnivariatePolynomial(F))->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``348770
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``348920
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``349104
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``349416
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``349650
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``349866
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``350095
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``350313
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``350512
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``350647
ocomponent`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``350854
ocomponent`5`n`(%,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``351191
ocomponent`5`n`(%,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``351689
ocomponents`1`x`(%)->List(%)`cThreeSpaceCategory(R)``352040
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``352281
ocomposite`1`x`(List(%))->%`cThreeSpaceCategory(R)``352378
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(%),%)->Union(Fraction(%),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`352586
ocomposite`2`x`(%,%)->Union(%,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`352712
ocomposites`1`x`(%)->List(%)`cThreeSpaceCategory(R)``352821
ocompound`2`n`(%,%)->%`dSTransform(PT)``353170
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``353228
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``353466
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``353651
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``353820
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`1`x`(List(%))->%`cLinearAggregate(S)``354230
oconcat!`1`x`(List(%))->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`354547
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``354853
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`354991
oconcat!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)``355129
oconcat`2`x`(%,%)->%`cLinearAggregate(S)``355236
oconcat!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`355495
oconcat`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)``355585
oconcat!`2`x`(%,S)->%`cExtensibleLinearAggregate(S)``355754
oconcat`2`x`(%,S)->%`cLinearAggregate(S)``355844
oconcat`2`x`(S,%)->%`cLinearAggregate(S)``356006
oconcat!`2`x`(%,S)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`356168
oconcat`2`x`(S,%)->%`cUnaryRecursiveAggregate(S)``356308
ocond`2`n`(Switch,%)->%`dFortranCode``356498
ocond`3`n`(Switch,%,%)->%`dFortranCode``356605
ocondition`1`n`(%)->C`dSplittingNode(V,C)``356731
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(%))->Union(Vector(%),"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`356802
oconditions`1`n`(%)->List(C)`dSplittingTree(V,C)``357072
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`357154
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``357330
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``357507
oconditionsForIdempotents`1`n`(Vector(%))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`357684
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`x`(Vector(%))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``357901
ocone`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``358119
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``358344
oconj`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``358682
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`358846
oconjugate`1`n`(%)->%`dPartition``358901
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``358984
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(%)->%`cComplexCategory(R)``359069
oconjugate`1`x`(%)->%`cOctonionCategory(R)``359144
oconjugate`1`x`(%)->%`cQuaternionCategory(R)``359302
oconjugate`1`x`(%)->%`cSpecialFunctionCategory``359381
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``359443
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(%,%)->%`cGroup``359516
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``359619
oconnect`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``359727
ocons`2`n`(R,%)->%`cSequenceCategory(R)``360011
ocons`2`x`(S,%)->%`dList(S)``360079
ocons`2`x`(S,%)->%`dStream(S)``360250
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``360404
oconsRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``360445
oconst?`1`n`(%)->Boolean`cJetBundleFunctionCategory(JB)``360536
oconst`1`n`(%)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``360610
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``360743
oconstant?`1`n`(%)->Boolean`dPattern(R)``360847
oconstant?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``360924
oconstant`1`n`(%)->R`dXPolynomialRing(R,E)``361022
oconstant?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``361086
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``361158
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``361251
oconstant`1`x`(%)->R`cXFreeAlgebra(vl,R)``361415
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``361480
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``361608
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``362064
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``362109
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``362155
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``362258
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``362373
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``362519
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``362623
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``363012
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``363238
oconstruct`1`n`(List(List(List(R))))->%`dThreeDimensionalMatrix(R)``363478
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->%`dPatternMatchResult(R,S)``363577
oconstruct`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)``363736
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(%)`dSplittingNode(V,C)``363893
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->%`dSplittingNode(V,C)``363995
oconstruct`1`n`(SplittingNode(V,C))->%`dSplittingTree(V,C)``364080
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->%`dFullPartialFractionExpansion(F,UP)``364380
oconstruct`1`x`(List(S))->%`cCollection(S)``364435
oconstruct`1`x`(%)->Stream(S)`dInfiniteTuple(S)``364696
oconstruct`2`n`(A,B)->%`dProduct(A,B)``364763
oconstruct`2`n`(IS,E)->%`dModuleMonomial(IS,E,ff)``364858
oconstruct`2`n`(%,LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``364904
oconstruct`2`n`(LyndonWord(VarSet),%)->%`dLiePolynomial(VarSet,R)``364977
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``365050
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``365123
oconstruct`2`n`(S1,S2)->%`dSuchThat(S1,S2)``365217
oconstruct`2`n`(V,C)->%`dSplittingNode(V,C)``365281
oconstruct`2`n`(V,List(C))->List(%)`dSplittingNode(V,C)``365367
oconstruct`2`x`(%,%)->%`cLieAlgebra(R)``365459
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->%`dFortranType``365541
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->%`dFortranType``365613
oconstruct`3`n`(V,C,Boolean)->%`dSplittingNode(V,C)``365685
oconstruct`3`n`(V,C,List(%))->%`dSplittingTree(V,C)``365809
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``365980
oconstruct`4`n`(V,C,V,List(C))->%`dSplittingTree(V,C)``366176
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->%`dDistribution(R)``366389
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)`has(S,Comparable)`366686
ocontains?`2`x`(%,R)->Boolean`cIntervalCategory(R)``367107
ocontainsPoint?`2`n`(%,PT)->Boolean`dSBoundary(PT)``367240
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``367395
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`367481
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`367571
ocontinue`1`n`(SingleInteger)->%`dFortranCode``367869
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``367965
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``368077
ocontinuedFraction`1`x`(Fraction(R))->%`dContinuedFraction(R)``368189
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->%`dContinuedFraction(R)``368327
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``368571
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``368687
ocontract`2`n`(JetVectorField(JB,D),%)->D`dJetDifferential(JB,D)``368803
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``368907
ocontract`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``369009
ocontract`4`x`(%,Integer,%,Integer)->%`dCartesianTensor(minix,dim,R)``369370
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``369841
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``370115
ocontrolPanel`2`n`(%,String)->Void`dTwoDimensionalViewport``370413
ocontrolPanel`2`x`(%,String)->Void`dThreeDimensionalViewport``370656
oconvergents`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``370903
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``371077
oconvert`1`n`(Factored(S))->S`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(%)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``371158
oconvert`1`n`(JetBundlePolynomial(R,JB))->%`dDistributedJetBundlePolynomial(R,JB,LJV,E)``371292
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``371426
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``371709
oconvert`1`n`(List(%))->%`dPattern(R)``371992
oconvert`1`n`(List(P))->%`dGeneralPolynomialSet(R,E,VarSet,P)``372079
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->%`cConvertibleFrom(S)``372180
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(SExpression)->%`dInputForm``372238
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFramedModule&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->String`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
oconvert`1`n`(%)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->%`cFramedModule(R)``372298
oconvert`1`n`(%)->Vector(R)`cFramedModule(R)``372449
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`x`(DoubleFloat)->%`dFloat``372559
oconvert`1`x`(Factored(%))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`372650
oconvert`1`x`(Flt)->%`cSExpressionCategory(Str,Sym,Int,Flt)``372826
oconvert`1`x`(Int)->%`cSExpressionCategory(Str,Sym,Int,Flt)``372883
oconvert`1`x`(List(%))->%`cSExpressionCategory(Str,Sym,Int,Flt)``372940
oconvert`1`x`(List(R))->%`cPointCategory(R)``373039
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``373165
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``373209
oconvert`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`373253
oconvert`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`373317
oconvert`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`373381
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``373445
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(%)->S`cConvertibleTo(S)``373489
oconvert`1`x`(S)->%`cSegmentCategory(S)``373556
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``373614
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``373658
oconvert`1`x`(SquareMatrix(n,R))->%`dLieSquareMatrix(n,R)``373718
oconvert`1`x`(Str)->%`cSExpressionCategory(Str,Sym,Int,Flt)``373770
oconvert`1`x`(Symbol)->%`dRomanNumeral``373827
oconvert`1`x`(Sym)->%`cSExpressionCategory(Str,Sym,Int,Flt)``373897
oconvert`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``373954
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``374108
oconvert`2`n`(OutputForm,Integer)->%`cOutputFormatterCategory``374233
oconvert`2`n`(OutputForm,Integer)->%`dTexFormat``374362
oconvert`3`n`(OutputForm,Integer,OutputForm)->%`dTexFormat``374628
oconvert_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``0
oconvert_to_decimal`2`n`(Record(mantissa:Integer,exponent:Integer),Integer)->Record(mantissa:Integer,exponent:Integer)`pFloatingPointConvertion``0
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``374925
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``375057
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``375091
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``375296
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``375512
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``375733
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(%))->Matrix(R)`cFramedModule(R)``375950
ocoordinates`1`n`(%)->Vector(R)`cFramedModule(R)``376176
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``376290
ocoordinates`2`n`(S,Vector(S))->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),%)->Vector(R)`dVectorSpaceBasis(R)``376441
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``376590
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``376749
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``376991
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankAlgebra(R,UP)``377218
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``377332
ocoordinatesIfCan`2`n`(Vector(R),%)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``377491
ocopies`2`x`(Integer,String)->String`pDisplayPackage``377651
ocoproduct`1`x`(%)->MxM`cCoalgebra(R,MxM)``377773
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``377846
ocopy`1`n`(%)->%`dJetDifferentialEquation(JB,D)``377906
ocopy`1`n`(%)->%`dJetDifferential(JB,D)``377971
ocopy`1`n`(%)->%`dJetVectorField(JB,D)``378040
ocopy`1`n`(%)->%`dLinearMultivariateMatrixPencil(R)``378107
ocopy`1`n`(%)->%`dPattern(R)``378175
ocopy`1`n`(%)->%`dSparseEchelonMatrix(C,D)``378235
ocopy`1`n`(%)->%`dSplittingNode(V,C)``378296
ocopy`1`n`(%)->%`dSubSpaceComponentProperty``378346
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`x`(%)->%`cAggregate``378382
ocopy`1`x`(%)->%`cIntegerNumberSystem``378516
ocopy`1`x`(%)->%`cThreeSpaceCategory(R)``378564
ocopy`1`x`(%)->%`dBasicOperator``378657
ocopy`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``378709
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``378794
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``378940
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(%,%,Integer)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`379068
ocopy_mat_part`2`n`(MMT,Integer)->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``379192
ocopy_poly`3`n`(PA,Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``379313
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``379519
ocorrPoly`6`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``379696
ocos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``380150
ocos`1`n`(E)->%`dFourierComponent(E)``380217
ocos`1`n`(F)->F`pElementaryFunction(R,F)``380283
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``380344
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``380411
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``380478
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``380546
ocos`1`x`(%)->%`cTrigonometricFunctionCategory``380616
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``380669
ocosh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``380767
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``380836
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``380909
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``380992
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``381075
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``381155
ocosh`1`x`(%)->%`cHyperbolicFunctionCategory``381237
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``381302
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``381404
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``381493
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``381580
ocot`1`n`(F)->F`pElementaryFunction(R,F)``381830
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``381894
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``381964
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``382034
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``382105
ocot`1`x`(%)->%`cTrigonometricFunctionCategory``382178
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``382234
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``382332
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``382436
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``382512
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``382598
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``382684
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``382767
ocoth`1`x`(%)->%`cHyperbolicFunctionCategory``382852
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``382920
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``383022
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``383131
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``383220
ocounit`1`x`(%)->R`cCoalgebra(R,MxM)``383307
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,%)->NonNegativeInteger`cHomogeneousAggregate(S)`has(%,finiteAggregate)`383375
ocount`2`x`(S,%)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`383576
ocountable?`1`x`(%)->Boolean`dCardinalNumber``383747
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``383885
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`383955
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``384062
ocPower`2`n`(%,Coef)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`384457
ocRationalPower`2`n`(%,Fraction(Integer))->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`384602
ocreate`0`n`()->%`dSingletonAsOrderedSet``384710
ocreate3Space`0`x`()->%`cThreeSpaceCategory(R)``384772
ocreate3Space`1`x`(SubSpace(3,R))->%`cThreeSpaceCategory(R)``384914
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``385056
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``385290
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``385490
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``385651
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``385994
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``386202
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``386322
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`386615
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``386886
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``387020
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387243
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387480
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387718
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``388317
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``388733
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``389327
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``389753
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``389957
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``390416
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->%`cFiniteFieldCategory``390995
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``391106
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``391256
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``391396
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``391508
ocreateSceneArrow`6`n`(%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``392443
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``393744
ocreateSceneBox`1`n`(DoubleFloat)->%`dScene(PT)``394648
ocreateSceneClip`1`n`(SBoundary(PT))->%`dScene(PT)``394760
ocreateSceneDef`2`n`(String,%)->%`dScene(PT)``394892
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``395001
ocreateSceneGrid`1`n`(SBoundary(PT))->%`dScene(PT)``395093
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->%`dScene(PT)``395246
ocreateSceneGroup`0`n`()->%`dScene(PT)``395427
ocreateSceneIFS`1`n`(SceneIFS(PT))->%`dScene(PT)``395550
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``395710
ocreateSceneLine`1`n`(List(PT))->%`dScene(PT)``395877
ocreateSceneLine`3`n`(%,%,DoubleFloat)->%`dScene(PT)``396141
ocreateSceneLine`4`n`(%,%,DoubleFloat,Boolean)->%`dScene(PT)``396765
ocreateSceneLines`1`n`(List(List(PT)))->%`dScene(PT)``397513
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``397770
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->%`dScene(PT)``398145
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->%`dScene(PT)``398474
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``398642
ocreateSceneRoot`0`n`()->%`dScene(PT)``399175
ocreateSceneRoot`1`n`(SBoundary(PT))->%`dScene(PT)``399301
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->%`dScene(PT)``399429
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->%`dScene(PT)``399583
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``399834
ocreateSceneShape`1`n`(SBoundary(PT))->%`dScene(PT)``399970
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``400122
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->%`dScene(PT)``400272
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->%`dScene(PT)``400384
ocreateSceneTransform`1`n`(STransform(PT))->%`dScene(PT)``400531
ocreateSceneUse`1`n`(String)->%`dScene(PT)``400763
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``400835
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``400994
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``401120
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``401246
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``401385
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``401524
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``401663
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``401802
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``402226
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``402262
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``402296
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``402333
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``402367
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``402405
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``402444
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``402483
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``402517
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(%,%)->%`cPointCategory(R)``402740
ocross`2`x`(%,%)->%`cVectorCategory(R)`has(R,Ring)`402893
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``403029
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``403238
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``403301
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``403370
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``403439
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``403509
ocsc`1`x`(%)->%`cTrigonometricFunctionCategory``403581
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``403636
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``403734
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``403809
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``403894
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``403979
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``404061
ocsch`1`x`(%)->%`cHyperbolicFunctionCategory``404145
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``404212
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404314
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404403
ocSec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`404497
ocSech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`404619
ocSin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`404753
ocSinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`404873
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``405005
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``405114
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``405230
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``405348
ocTan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`405402
ocTanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`405525
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``405660
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``405697
ocubicalComplex`1`n`(List(VS))->%`dFiniteCubicalComplex(VS)``405749
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->%`dFiniteCubicalComplex(VS)``405788
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->%`dFiniteCubicalComplex(VS)``405836
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->%`dFiniteCubicalComplex(VS)``405884
ocubicalFacet`2`n`(Integer,CubicalFacet)->%`dCubicalFacet``405932
ocubicalFacet`2`n`(Integer,List(List(Integer)))->%`dCubicalFacet``405977
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->%`dCubicalFacet``406014
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``406195
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``406313
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``406507
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``406600
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``406695
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``406800
ocurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``406906
ocurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``407131
ocurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``407333
ocurve`2`x`(ComponentFunction,ComponentFunction)->%`dParametricPlaneCurve(ComponentFunction)``407572
ocurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``407676
ocurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``408046
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSpaceCurve(ComponentFunction)``408223
ocurveColor`1`x`(Float)->%`dDrawOption``408349
ocurveColor`1`x`(Palette)->%`dDrawOption``408492
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``408662
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``408891
ocycle`1`x`(List(S))->%`cPermutationCategory(S)``408978
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->%`cFiniteGraph(S)``409205
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``409448
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(%)->%`cUnaryRecursiveAggregate(S)``409595
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(%)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``409730
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->%`cFiniteGraph(S)``409870
ocyclePartition`1`x`(%)->Partition`dPermutation(S)``410222
ocycleRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``410365
ocycles`1`x`(List(List(S)))->%`cPermutationCategory(S)``410599
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`410930
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``411311
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(%)->Boolean`cRecursiveAggregate(S)``411403
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``411459
ocyclicGroup`1`n`(PositiveInteger)->%`dGroupPresentation``411555
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``411675
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``411864
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`411984
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``412615
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``412687
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``412890
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``413054
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``413154
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``413424
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``413490
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``413602
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``413696
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``413933
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``414079
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->%`cLinearOrdinaryDifferentialOperatorCategory(A)``414219
od`1`n`(D)->%`dJetDifferential(JB,D)``414311
od`1`n`(JB)->%`dJetDifferential(JB,D)``414369
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->%`dPartialDifferentialOperator(R,Var)``414428
oD`1`n`(Var)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``414534
oD`1`x`(%)->%`cDifferentialRing``414636
oD`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``414780
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->%`dJetBundle(IVar,DVar)``414835
oD`2`n`(Symbol,List(Symbol))->%`dJetBundleSymAna(JB1,xi,eta)``414966
oD`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``415016
oD`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``415147
oD`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``415219
oD`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``415291
oD`2`x`(%,S)->%`cPartialDifferentialRing(S)``415387
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``415481
oD`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``415647
oD`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``415777
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``415926
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``416355
odark`1`x`(Color)->%`dPalette``416492
odatalist`1`x`(List(S))->%`dDataList(S)``416591
oddfact`2`n`(PA,MD)->List(Record(poly:PA,degree:NonNegativeInteger,separate_factors:()->List(PA)))`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``416650
oddfact`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(Record(poly:PrimitiveArray(K),degree:NonNegativeInteger,separate_factors:()->List(PrimitiveArray(K))))`pModularFactorizationK(K)``0
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug`1`n`(Boolean)->Boolean`dPlot``416825
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``416912
odebug`1`x`(Boolean)->%`dGuessOption``417020
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``417160
odec`1`x`(%)->%`cIntegerNumberSystem``417253
odecimal`1`x`(Fraction(Integer))->%`dDecimalExpansion``417296
odeclare`1`n`(List(%))->Symbol`dInputForm``417372
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``417721
odeclare!`3`n`(List(Symbol),FortranType,%)->FortranType`dSymbolTable``417848
odeclare!`3`n`(Symbol,FortranType,%)->FortranType`dSymbolTable``417966
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``418076
odeclare!`4`n`(List(Symbol),FortranType,Symbol,%)->FortranType`dTheSymbolTable``418176
odeclare!`4`n`(Symbol,FortranType,Symbol,%)->FortranType`dTheSymbolTable``418322
odecompose`1`x`(%)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``418467
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``418551
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``418887
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``419095
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`419334
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`419465
odeductions`1`n`(List(%))->List(%)`dILogic``419605
odeductions`1`n`(List(%))->List(%)`dLatticeJoinOfMeets``419991
odeductions`1`n`(List(%))->List(%)`dLatticeMeetOfJoins``420377
odeepCopy`1`n`(%)->%`dSubSpace(n,R)``420763
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``0
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``420803
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``420950
odeepExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``421189
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``421278
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``421370
odefineProperty`3`n`(%,List(NonNegativeInteger),SubSpaceComponentProperty)->%`dSubSpace(n,R)``421468
odefiningEquations`1`n`(%)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``421943
odefiningInequation`1`n`(%)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``422086
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``422227
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``422321
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`422423
odefiningPolynomial`1`x`(%)->%`cExpressionSpace2(K)`has(%,Ring)`422566
odefiningPolynomial`1`x`(%)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``422660
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(%)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``422772
odegree`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``422859
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``422897
odegree`1`n`(%)->NonNegativeInteger`dAntiSymm(R,lVar)``422947
odegree`1`n`(%)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``423015
odegree`1`n`(%)->NonNegativeInteger`dExtAlgBasis``423103
odegree`1`n`(PA)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``423272
odegree`1`n`(PrimitiveArray(K))->Integer`pVectorPolynomialOperationsF(K)``423343
odegree`1`n`(PrimitiveArray(PrimeField(p)))->Integer`pVectorPolynomialOperationsP(p)``423411
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``423479
odegree`1`x`(%)->E`cAbelianMonoidRing(R,E)``423547
odegree`1`x`(%)->E`cGradedModule(R,E)``423634
odegree`1`x`(%)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``423755
odegree`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``423838
odegree`1`x`(%)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``423979
odegree`1`x`(%)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``424106
odegree`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``424196
odegree`1`x`(%)->NonNegativeInteger`cXPolynomialsCat(vl,R)``424286
odegree`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``424402
odegree`1`x`(%)->NonNegativeInteger`dPermutation(S)``424505
odegree`1`x`(%)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``424593
odegree`1`x`(%)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``424782
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(%,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``424906
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``425046
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``425129
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(%,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(%,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``425237
odegree`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``425345
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``425527
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``425692
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``425975
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``426065
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``426234
odelay`1`x`(()->%)->%`dStream(S)``426684
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete!`2`x`(%,Integer)->%`cExtensibleLinearAggregate(S)``426837
odelete`2`x`(%,Integer)->%`cLinearAggregate(S)``426925
odelete!`2`x`(%,UniversalSegment(Integer))->%`cExtensibleLinearAggregate(S)``427093
odelete`2`x`(%,UniversalSegment(Integer))->%`cLinearAggregate(S)``427202
odeleteProperty!`2`x`(%,Symbol)->%`dBasicOperator``427391
odeleteRow!`2`n`(%,Integer)->Void`dSparseEchelonMatrix(C,D)``427555
oDelta`0`n`()->Symbol`pMathematicalSymbols``427646
odelta`0`n`()->Symbol`pMathematicalSymbols``427715
oDelta`1`n`(Symbol)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`427782
odelta`3`n`(%,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``427888
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->%`dDeltaComplex(VS)``428043
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->%`dDeltaComplex(VS)``428138
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->%`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->%`dDeltaComplex(VS)``428238
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``428290
odenom`1`n`(%)->R`dFractionalIdeal(R,F,UP,A)``428359
odenom`1`n`(%)->R`dLocalAlgebra(A,R)``428422
odenom`1`n`(%)->R`dLocalize(M,R)``428481
odenom`1`x`(%)->S`cQuotientFieldCategory(S)``428540
odenom`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``428613
odenom`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`428725
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``428837
odenominator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
odenominator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`428902
odenominator`1`x`(%)->%`cQuotientFieldCategory(S)``428984
odenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``429074
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``429266
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``429496
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``429700
odepth`1`n`(%)->NonNegativeInteger`dOutputBox``430024
odepth`1`n`(%)->NonNegativeInteger`dPattern(R)``430106
odequeue`1`x`(List(S))->%`dDequeue(S)``430168
odequeue!`1`x`(%)->S`cQueueAggregate(S)``430354
oderef`1`n`(%)->S`dReference(S)``430547
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``430602
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``430798
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(%),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`430881
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``430969
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``431095
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``431347
oderivativeOf?`2`n`(%,%)->List(NonNegativeInteger)`cJetBundleCategory``431687
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
odeserialize`1`n`(None)->None`pFileSerialization``431891
odestruct`1`n`(%)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``431973
odestruct`1`x`(%)->List(%)`cSExpressionCategory(Str,Sym,Int,Flt)``432092
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`432177
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``432312
odeterminant`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`432447
odeterminant`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`432560
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``432637
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``432820
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``433048
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``433292
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``433450
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`433608
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``433686
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``433781
odiagonal?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``433975
odiagonal`1`x`(%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``434169
odiagonal?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``434276
odiagonal`2`n`(%,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``434341
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`434422
odiagonalMatrix`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``434563
odiagonalMatrix`1`x`(List(R))->%`cMatrixCategory(R,Row,Col)``435115
odiagonalMatrix`1`x`(List(R))->%`cSquareMatrixCategory(ndim,R,Row,Col)``435220
odiagonalMatrix`1`x`(Vector(R))->%`dMatrix(R)``435325
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`435438
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``435664
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``435772
odiagonals`2`x`(%,String)->Void`dThreeDimensionalViewport``435881
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``436225
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(%),Boolean)->Void`cFiniteGraph(S)``436387
odiagramSvg2`3`n`(String,%,Boolean)->Void`dUndirectedGraph(S)``436651
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``436992
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``437271
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->%`cDictionaryOperations(S)``437431
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->%`cDictionaryOperations(S)``437514
odiff`1`n`(JB)->%`dJetVectorField(JB,D)``437631
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``437708
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``437779
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``438003
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(%,%)->%`cSetAggregate(S)``438318
odifference`2`x`(%,S)->%`cSetAggregate(S)``438683
odifferentials`1`n`(%)->List(JB)`dJetDifferential(JB,D)``438915
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(%)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``439017
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(%)->%`cDifferentialRing``439151
odifferentiate`1`x`(%)->%`cDifferentialVariableCategory(S)``439307
odifferentiate`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``439374
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(%,(F)->F)->F`dIntegrationResult(F)``439441
odifferentiate`2`n`(%,JB)->%`cJetBundleFunctionCategory(JB)``439544
odifferentiate`2`n`(%,NonNegativeInteger)->%`dOutputForm``439657
odifferentiate`2`n`(%,PositiveInteger)->Union(%,"0")`cJetBundleCategory``439841
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(%,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`439959
odifferentiate`2`n`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``440046
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``440081
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``440184
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``440287
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``440391
odifferentiate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``440494
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``440597
odifferentiate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``440701
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``440868
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``440952
odifferentiate`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``441036
odifferentiate`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``441120
odifferentiate`2`x`(%,S)->%`cPartialDifferentialRing(S)``441228
odifferentiate`2`x`(%,(UP)->UP)->%`cFunctionFieldCategory(F,UP,UPUP)``441334
odifferentiate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``441444
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``441547
odifferentiate`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``441582
odifferentiate`3`x`(%,(R)->R,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`441714
odifferentiate`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``441901
odifferentiate`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``442043
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``442204
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``442347
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`442462
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetVectorField(JB,D)``442586
odiffU`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``442677
odiffX`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``442756
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``442835
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``442910
odigamma`1`x`(%)->%`cSpecialFunctionCategory``442985
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``443108
odigit`0`x`()->%`dCharacterClass``443183
odigit?`1`x`(%)->Boolean`dCharacter``443299
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``443396
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``443473
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``443550
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`443647
odigits`1`x`(%)->Stream(Integer)`cPAdicIntegerCategory(p)``443744
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``443822
odihedralGroup`1`n`(PositiveInteger)->%`dGroupPresentation``443922
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``444036
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``444230
odilate`2`n`(R,%)->%`cSequenceCategory(R)``444344
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``444442
odilog`1`x`(%)->%`cLiouvillianFunctionCategory``444489
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``444613
odim`1`x`(Color)->%`dPalette``444655
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``444747
odimension`1`n`(%)->NonNegativeInteger`dCell(TheField)``444805
odimension`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``444862
odimension`1`n`(%)->PositiveInteger`cSPointCategory``444923
odimension`1`x`(%)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``445025
odimension`1`x`(%)->PositiveInteger`cPointCategory(R)``445176
odimension`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``445257
odimension`2`x`(%,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``445471
odimension`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``445578
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``445758
odimensions`5`n`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``445986
odimensions`5`x`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``446436
odimensionsOf`1`n`(%)->List(Polynomial(Integer))`dFortranType``446890
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``446955
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``447052
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``447149
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``447261
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``447373
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``447504
odiracDelta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``447681
odiracDelta`1`x`(%)->%`cSpecialFunctionCategory``447744
odirectedGraph`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``447807
odirectedGraph`1`n`(List(Permutation(S)))->%`dDirectedGraph(S)``447962
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dDirectedGraph(S)``448057
odirectedGraph`1`n`(List(S))->%`dDirectedGraph(S)``448204
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dDirectedGraph(S)``448480
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dDirectedGraph(S)``448631
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dDirectedGraph(S)``448734
odirection`1`n`(String)->Integer`pToolsForSign(R)``448921
odirections`1`n`(%)->List(JB)`dJetVectorField(JB,D)``448962
odirectory`1`x`(%)->String`cFileNameCategory``449079
odirectProduct`1`x`(Vector(R))->%`cDirectProductCategory(dim,R)``449151
odirectProduct`2`n`(%,%)->%`dGroupPresentation``449288
odirectSum`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`449330
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``449527
odisableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``449764
odisableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``449845
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(%)->NonNegativeInteger`cFiniteFieldCategory``449909
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(%,%)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``450038
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``450138
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``450282
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``450341
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``450400
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`x`(%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`450468
odiscriminant`1`x`(Vector(%))->R`cFiniteRankAlgebra(R,UP)``450551
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`450655
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``450780
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odispGenerators`1`n`(%)->OutputForm`dHomology``450895
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``450939
odisplay`1`n`(String)->Void`dHTMLFormat``451069
odisplay`1`n`(String)->Void`dMathMLFormat``451132
odisplay`1`n`(String)->Void`dTexmacsFormat``451203
odisplay`1`n`(%)->Void`cOutputFormatterCategory``451274
odisplay`1`n`(%)->Void`dJetDifferentialEquation(JB,D)``451326
odisplay`1`n`(%)->Void`dTexFormat``451674
odisplay`1`x`(%)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``451856
odisplay`1`x`(%)->Void`dDatabase(S)``451978
odisplay`1`x`(%)->Void`dIndexCard``452055
odisplay`2`n`(%,Integer)->Void`dTexFormat``452141
odisplay`2`n`(%,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``452280
odisplay`2`n`(%,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``452402
odisplay`2`x`(%,(List(OutputForm))->OutputForm)->%`dBasicOperator``452482
odisplay`2`x`(%,(OutputForm)->OutputForm)->%`dBasicOperator``452711
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``452948
odisplayKind`1`x`(Symbol)->%`dGuessOption``453142
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``453336
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``453366
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(%,%)->DoubleFloat`cSPointCategory``453398
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`x`(%,%)->Integer`cRecursiveAggregate(S)``453691
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistance`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``453791
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``453995
odistanceSquared`2`n`(%,%)->DoubleFloat`cSPointCategory``454528
odistanceWeighted`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``454792
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:NonNegativeInteger))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``454868
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``455389
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``455717
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``455835
odistribute`1`n`(S)->S`xExpressionSpace2&(S,K)``0
odistribute`1`x`(%)->%`cExpressionSpace2(K)``456074
odistribute`2`n`(S,S)->S`xExpressionSpace2&(S,K)``0
odistribute`2`x`(%,%)->%`cExpressionSpace2(K)``456257
odistributionByBooleanCumulants`1`x`(Sequence(R))->%`dDistribution(R)``456492
odistributionByBooleanCumulants`1`x`(Stream(R))->%`dDistribution(R)``456606
odistributionByClassicalCumulants`1`x`(Sequence(R))->%`dDistribution(R)``456720
odistributionByClassicalCumulants`1`x`(Stream(R))->%`dDistribution(R)``456831
odistributionByEvenMoments`1`x`(Sequence(R))->%`dDistribution(R)``456942
odistributionByEvenMoments`1`x`(Stream(R))->%`dDistribution(R)``457067
odistributionByFreeCumulants`1`x`(Sequence(R))->%`dDistribution(R)``457192
odistributionByFreeCumulants`1`x`(Stream(R))->%`dDistribution(R)``457300
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->%`dDistribution(R)``457408
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->%`dDistribution(R)``457536
odistributionByMoments`1`x`(Sequence(R))->%`dDistribution(R)``457664
odistributionByMoments`1`x`(Stream(R))->%`dDistribution(R)``457759
odistributionByMonotoneCumulants`1`x`(Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`457854
odistributionByMonotoneCumulants`1`x`(Stream(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`457970
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`458086
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``458203
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`458304
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``458421
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``458578
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(%,%)->Union(Record(lm:%,rm:%),"failed")`dFreeMonoid(S)``458691
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cEuclideanDomain``458916
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`dNonNegativeInteger``459151
odivide!`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``459237
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``459424
odivideExponents`2`x`(%,NonNegativeInteger)->Union(%,"failed")`cUnivariatePolynomialCategory(R)``459452
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``459687
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``459829
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`n`(R)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460171
odivisor`1`x`(R)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460245
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460316
odivisor`3`n`(F,F,Integer)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`n`(R,UP,UP)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`x`(F,F,Integer)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460431
odivisor`3`x`(R,UP,UP)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460609
odivisor`5`n`(R,UP,UP,UP,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`5`x`(R,UP,UP,UP,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``460829
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``461151
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``461522
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``461959
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``462029
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``462089
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``462149
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``462209
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``462298
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``462384
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``462627
odom`1`x`(%)->SExpression`dAny``462692
odomainOf`1`x`(%)->OutputForm`dAny``462818
odominantTerm`1`n`(%)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``462942
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_param_RDE`5`n`(F,F,List(F),Symbol,List(Kernel(F)))->Union(Record(ratpart:F,coeffs:Vector(F)),"failed")`pElementaryRischDEX2(R,F)``463341
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_risch_DE`4`n`(F,F,Symbol,List(Kernel(F)))->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``463716
odot`1`n`(%)->%`dOutputForm``464013
odot`2`n`(%,NonNegativeInteger)->%`dOutputForm``464074
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``464155
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`x`(%,%)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`464338
odot`2`x`(%,%)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`464429
odouble?`1`n`(%)->Boolean`dFortranScalarType``464584
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``464683
odoubleComplex?`1`n`(%)->Boolean`dFortranScalarType``464769
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``464889
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``464931
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``465006
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``465174
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``465364
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``465587
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``465623
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``465677
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetDifferential(JB,D)``465731
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``465804
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``465890
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466021
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``466171
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``466347
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``466490
odraw`2`x`(ParametricComplexCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``466669
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466756
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``466932
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467166
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``467364
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467618
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467828
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468144
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468368
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``468606
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``468877
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``469146
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``469314
odraw`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``469550
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``469642
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``469911
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``470240
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``470526
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``470879
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``471179
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``471545
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``471852
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``472169
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``472372
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``472736
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``472981
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``473369
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``473834
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``474683
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``475404
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``475640
odrawStyle`2`x`(%,String)->Void`dThreeDimensionalViewport``476061
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``476459
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``476545
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``476742
odSubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``476800
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odU`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``476972
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``477033
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``477082
oduplicates?`1`n`(%)->Boolean`dListMultiDictionary(S)``477136
oduplicates`1`x`(%)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``477217
odX`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``477304
oe`1`x`(PositiveInteger)->%`dCliffordAlgebra(n,K,bLin)``477365
oee`1`x`(List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``477522
oeFromBinaryMap`1`x`(NonNegativeInteger)->%`dCliffordAlgebra(n,K,bLin)``477563
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``477766
oEi`1`x`(%)->%`cLiouvillianFunctionCategory``477826
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``477955
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``478015
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``478075
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`478220
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`478297
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``478374
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``478604
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``478735
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`478866
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`479217
oeigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``479565
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``479974
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``480232
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``480401
oelem?`1`n`(%)->Boolean`dIntegrationResult(F)``480560
oelement?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``480644
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``480744
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``480853
oelements`1`n`(%)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``480977
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`481069
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`481326
oeliminationEquations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`481647
oeliminationGroebner`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`481831
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`482112
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`482209
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`482362
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`482666
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`482871
oeliminationTransformations`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`483085
oeliminationTransformations`6`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`483337
oeliminationTransformations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`483510
oelimZeroCols!`1`n`(%)->Void`dSparseEchelonMatrix(C,D)``483786
oellipseBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``483922
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``484161
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``484287
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``484413
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``484639
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``484916
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``485069
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``485149
oellipticE`1`x`(%)->%`cSpecialFunctionCategory``485230
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``485383
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``485463
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``485544
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`485709
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``485812
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``485900
oellipticE`2`x`(%,%)->%`cSpecialFunctionCategory``485988
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``486153
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``486241
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``486329
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`486494
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``486597
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``486684
oellipticF`2`x`(%,%)->%`cSpecialFunctionCategory``486771
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``486936
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``487023
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``487110
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``487262
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``487349
oellipticK`1`x`(%)->%`cSpecialFunctionCategory``487429
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``487581
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``487666
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``487746
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`487934
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``488044
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``488137
oellipticPi`3`x`(%,%,%)->%`cSpecialFunctionCategory``488230
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``488418
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``488511
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``488604
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``488717
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``488830
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``488963
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``489096
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``489229
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``489362
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``489532
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``489681
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``489805
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`10`x`(BasicOperator,%,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``489955
oelt`1`n`(%)->S`dReference(S)``490168
oelt`1`x`(%)->R`dCartesianTensor(minix,dim,R)``490218
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xListAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xListAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(%))->%`dPattern(R)``490279
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(%,Integer)->R`cSequenceCategory(R)``490358
oelt`2`n`(%,List(%))->%`dOutputForm``490431
oelt`2`n`(%,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``490533
oelt`2`n`(%,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``490612
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``490673
oelt`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``490773
oelt`2`x`(%,"count")->NonNegativeInteger`dDataList(S)``490940
oelt`2`x`(%,%)->%`cStringAggregate``491008
oelt`2`x`(%,D)->I`cEltable(D,I)``491224
oelt`2`x`(%,DirectProduct(n,K))->K`dQuadraticForm(n,K)``491385
oelt`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``491497
oelt`2`x`(%,"first")->S`cUnaryRecursiveAggregate(S)``491653
oelt`2`x`(Fraction(%),Fraction(%))->Fraction(%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`491750
oelt`2`x`(Fraction(%),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`491888
oelt`2`x`(%,Integer)->%`cSExpressionCategory(Str,Sym,Int,Flt)``492039
oelt`2`x`(%,Integer)->R`cFramedNonAssociativeAlgebra(R)``492107
oelt`2`x`(%,Integer)->R`dCartesianTensor(minix,dim,R)``492230
oelt`2`x`(%,"last")->S`cUnaryRecursiveAggregate(S)``492294
oelt`2`x`(%,"left")->%`cBinaryRecursiveAggregate(S)``492388
oelt`2`x`(%,List(Integer))->%`cSExpressionCategory(Str,Sym,Int,Flt)``492482
oelt`2`x`(%,List(Integer))->R`dCartesianTensor(minix,dim,R)``492728
oelt`2`x`(%,List(OutputForm))->%`dSymbol``492815
oelt`2`x`(%,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``492953
oelt`2`x`(%,QueryEquation)->%`dDatabase(S)``493037
oelt`2`x`(%,"rest")->%`cUnaryRecursiveAggregate(S)``493122
oelt`2`x`(%,"right")->%`cBinaryRecursiveAggregate(S)``493216
oelt`2`x`(%,"sort")->%`dDataList(S)``493313
oelt`2`x`(%,S)->S`cPermutationCategory(S)``493403
oelt`2`x`(%,Symbol)->Any`dLibrary``493492
oelt`2`x`(%,Symbol)->DataList(String)`dDatabase(S)``493625
oelt`2`x`(%,Symbol)->String`dIndexCard``493709
oelt`2`x`(%,"unique")->%`dDataList(S)``493901
oelt`2`x`(%,"value")->S`cRecursiveAggregate(S)``494011
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xListAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`3`n`(%,Integer,C)->D`dSparseEchelonMatrix(C,D)``494108
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``494235
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``494352
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,%,%)->%`cExpressionSpace2(K)``494440
oelt`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)``494571
oelt`3`x`(%,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``494707
oelt`3`x`(%,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``494855
oelt`3`x`(%,F,PositiveInteger)->F`dRuleset(Base,R,F)``494982
oelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``495117
oelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``495285
oelt`3`x`(%,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``495459
oelt`3`x`(%,Integer,List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``495528
oelt`3`x`(%,Integer,List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``495812
oelt`3`x`(%,List(Integer),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``496019
oelt`3`x`(%,List(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``496303
oelt`3`x`(%,List(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``496680
oelt`3`x`(%,List(Segment(Integer)),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``496822
oelt`3`x`(%,List(Segment(Integer)),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``497029
oelt`3`x`(%,List(Segment(Integer)),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``497228
oelt`3`x`(%,Segment(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``497426
oelt`3`x`(%,Segment(Integer),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``497568
oelt`3`x`(%,Segment(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``497766
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``497908
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``498036
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(BasicOperator,%,%,%)->%`cExpressionSpace2(K)``498116
oelt`4`x`(%,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``498277
oelt`4`x`(%,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``498351
oelt`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``498570
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`5`x`(BasicOperator,%,%,%,%)->%`cExpressionSpace2(K)``498787
oelt`5`x`(%,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``498975
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`6`x`(BasicOperator,%,%,%,%,%)->%`cExpressionSpace2(K)``499054
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`7`x`(BasicOperator,%,%,%,%,%,%)->%`cExpressionSpace2(K)``499199
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`8`x`(BasicOperator,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``499361
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`9`x`(BasicOperator,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``499540
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``499736
oempty`0`n`()->%`dOutputBox``499840
oempty`0`n`()->%`dOutputForm``499878
oempty`0`n`()->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``499923
oempty`0`n`()->%`dSplittingNode(V,C)``499983
oempty`0`n`()->%`dSymbolTable``500072
oempty`0`n`()->%`dTheSymbolTable``500130
oempty`0`x`()->%`cAggregate``500189
oempty?`1`n`(%)->Boolean`cFacetCategory``500381
oempty?`1`n`(%)->Boolean`dLatticeJoinOfMeets``500449
oempty?`1`n`(%)->Boolean`dLatticeMeetOfJoins``500477
oempty?`1`n`(%)->Boolean`dOutputBox``500505
oempty?`1`n`(%)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``500593
oempty?`1`n`(%)->Boolean`dSplittingNode(V,C)``500717
oempty?`1`n`(%)->Boolean`dXmlElement``500806
oempty`1`n`(Integer)->%`dVectorIntegerReconstructor``500893
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``500959
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`x`(%)->Boolean`cAggregate``501017
oempty`2`n`(Integer,Integer)->%`dVectorModularReconstructor``501075
oemptyLattice`0`n`()->%`dLatticeJoinOfMeets``501173
oemptyLattice`0`n`()->%`dLatticeMeetOfJoins``501207
oempty_mat`0`n`()->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``501241
oempty_mat?`1`n`(MMT)->Boolean`cModularFactorizationOperations(PA,MMT,MD,PMD)``501315
oempty_poly`0`n`()->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``501411
oenableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``501476
oenableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``501555
oendOfFile?`1`x`(%)->Boolean`dTextFile``501617
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``501790
oenqueue!`2`x`(S,%)->S`cQueueAggregate(S)``501885
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``501974
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``502169
oenterPointData`2`x`(%,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``502428
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(%)->List(NonNegativeInteger)`dLoop``502646
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(%)->List(Entry)`cIndexedAggregate(Index,Entry)``502716
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,%)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(%,finiteAggregate),has(Entry,BasicType))`502818
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(%)`dSetOfMIntegersInOneToN(m,n)``502910
oenumerate`0`x`()->List(%)`cFinite``503006
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``503069
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``503350
oepilogue`1`n`(%)->List(String)`dTexFormat``503631
oepilogue`1`n`(%)->OutputBox`dFormatter(F)``503711
oePseudoscalar`0`x`()->%`dCliffordAlgebra(n,K,bLin)``503881
oEpsilon`0`n`()->Symbol`pMathematicalSymbols``503906
oepsilon`0`n`()->Symbol`pMathematicalSymbols``503979
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``504050
oeq?`2`x`(%,%)->Boolean`cAggregate``504143
oeq`2`x`(%,%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``504218
oeqRep?`2`n`(%,%)->Boolean`dJetLazyFunction(JB,D)``504310
oequal?`4`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``504511
oequality`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``504685
oequation`2`x`(S,S)->%`dEquation(S)``504989
oequation`2`x`(Symbol,Segment(S))->%`dSegmentBinding(S)``505041
oequation`2`x`(Symbol,String)->%`dQueryEquation``505216
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``505272
oerf`1`x`(%)->%`cLiouvillianFunctionCategory``505320
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``505473
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``505521
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``505569
oerfi`1`x`(%)->%`cLiouvillianFunctionCategory``505622
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``505675
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``505728
oerror`1`x`(List(String))->Exit`pErrorFunctions``505781
oerror`1`x`(String)->Exit`pErrorFunctions``505858
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``505933
oerror`2`x`(String,String)->Exit`pErrorFunctions``506097
oerrorInfo`1`x`(%)->List(Symbol)`dOpenMathError``506265
oerrorKind`1`x`(%)->OpenMathErrorKind`dOpenMathError``506338
oEta`0`n`()->Symbol`pMathematicalSymbols``506418
oeta`0`n`()->Symbol`pMathematicalSymbols``506483
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``506546
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``506703
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``507038
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``507345
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(%)->NonNegativeInteger`cEuclideanDomain``507530
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``507641
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``507963
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`508116
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``508207
oeval1`1`n`(%)->%`dJetLazyFunction(JB,D)``508423
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``508535
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``508676
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``508875
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``509095
oeval`1`n`(%)->%`dJetLazyFunction(JB,D)``509332
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``509439
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(%,D)->D`dJetVectorField(JB,D)``509509
oeval`2`n`(%,F)->F`dMoebiusTransform(F)``509596
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``509748
oeval`2`n`(%,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``509976
oeval`2`n`(%,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``510069
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``510221
oeval`2`x`(%,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`510368
oeval`2`x`(%,%)->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`510489
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``510574
oeval`2`x`(%,Equation(R))->%`cEvalable(R)``510722
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``510796
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``510916
oeval`2`x`(%,List(%))->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`511179
oeval`2`x`(%,List(Equation(R)))->%`cEvalable(R)``511283
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``511381
oeval`2`x`(%,S)->S`cPermutationCategory(S)``511482
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(S,A,B)->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,K,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,K,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(A),List(B))->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(R),List(R))->S`xEvalable&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(R))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(S),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(S),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(VarSet),List(R))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(VarSet),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,R,R)->S`xEvalable&(S,R)``0
oeval`3`n`(S,R,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,S,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,S,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,VarSet,R)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,VarSet,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(UPUP,Fraction(UP),Fraction(UP))->UPUP`pChangeOfVariable(F,UP,UPUP)``511572
oeval`3`x`(%,A,B)->%`cInnerEvalable(A,B)``511654
oeval`3`x`(%,BasicOperator,(%)->%)->%`cExpressionSpace2(K)``511729
oeval`3`x`(%,BasicOperator,(List(%))->%)->%`cExpressionSpace2(K)``511833
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``511984
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``512217
oeval`3`x`(%,List(A),List(B))->%`cInnerEvalable(A,B)``512302
oeval`3`x`(%,List(BasicOperator),List((%)->%))->%`cExpressionSpace2(K)``512411
oeval`3`x`(%,List(BasicOperator),List((List(%))->%))->%`cExpressionSpace2(K)``512563
oeval`3`x`(%,List(Symbol),List((%)->%))->%`cExpressionSpace2(K)``512764
oeval`3`x`(%,List(Symbol),List((List(%))->%))->%`cExpressionSpace2(K)``512916
oeval`3`x`(%,List(VarSet),List(%))->%`cFreeLieAlgebra(VarSet,R)``513117
oeval`3`x`(%,Symbol,(%)->%)->%`cExpressionSpace2(K)``513240
oeval`3`x`(%,Symbol,(List(%))->%)->%`cExpressionSpace2(K)``513344
oeval`3`x`(%,VarSet,%)->%`cFreeLieAlgebra(VarSet,R)``513495
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`x`(%,BasicOperator,%,Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`513570
oeval`4`x`(%,List(BasicOperator),List(%),Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`513714
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((%)->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`513906
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((List(%))->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`514082
oeval`4`x`(%,Symbol,NonNegativeInteger,(%)->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`514300
oeval`4`x`(%,Symbol,NonNegativeInteger,(List(%))->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`514411
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``514564
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``514738
oevaluate`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``514862
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``515096
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``515333
oevaluate`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``515517
oevaluateInverse`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluateInverse`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``515844
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``515896
oeven?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`516084
oeven?`1`x`(%)->Boolean`cIntegerNumberSystem``516153
oeven?`1`x`(%)->Boolean`dPermutation(S)``516229
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``516360
oevenlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``516512
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``516893
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`517217
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`517533
oexactQuotient!`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`517721
oexactQuotient`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`517808
oexactQuotient!`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`517996
oexists?`1`x`(%)->Boolean`cFileNameCategory``518084
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``518154
oexp1`0`x`()->%`dDoubleFloat``518353
oexp1`0`x`()->%`dFloat``518426
oexp1`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``518486
oexp`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``518577
oexp`1`n`(F)->F`pElementaryFunction(R,F)``518644
oexp`1`n`(LiePolynomial(VarSet,R))->%`dLieExponentials(VarSet,R,Order)``518710
oexp`1`n`(List(Integer))->%`dAntiSymm(R,lVar)``518768
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``518842
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``518918
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``518994
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``519067
oexp`1`x`(%)->%`cElementaryFunctionCategory``519142
oexp`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`519205
oexp`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``519301
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``519403
oexpa`1`n`(%)->IntegerMod(n)`dDihedralGroup(n,a,b)``519494
oexpand`1`n`(%)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``519586
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``519648
oexpand`1`x`(%)->L`cSegmentExpansionCategory(S,L)``520054
oexpand`1`x`(List(%))->L`cSegmentExpansionCategory(S,L)``520243
oexpand`1`x`(%)->R`dFactored(R)``520499
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``520712
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``520814
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``520926
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``521038
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``521204
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`521317
oexpb`1`n`(%)->IntegerMod(2)`dDihedralGroup(n,a,b)``521698
oexpextint`4`n`((UP)->UP,(Integer,List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``521799
oexp_frac`3`n`(Integer,Integer,PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``522055
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``522142
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``522234
oexplicitEntries?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``522455
oexplicitlyEmpty?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``522595
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(%)->Boolean`cStreamAggregate(S)``522760
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``522962
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``523099
oexponent`1`n`(%)->E`dModuleMonomial(IS,E,ff)``523401
oexponent`1`n`(%)->Integer`dCyclicGroup(n,g)``523441
oexponent`1`n`(%)->Integer`dInfiniteCyclicGroup(g)``523518
oexponent`1`n`(%)->Integer`dMachineFloat``523595
oexponent`1`n`(%)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``523654
oexponent`1`n`(%)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``523813
oexponent`1`x`(%)->Integer`cFloatingPointSystem``523867
oexponenta`1`n`(%)->Integer`dDihedralGroup(n,a,b)``523967
oexponentb`1`n`(%)->Integer`dDihedralGroup(n,a,b)``524075
oexponential1`0`n`()->Float`pRandomFloatDistributions``524192
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``524235
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``524278
oexponentialOrder`1`n`(%)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``524414
oexponents`1`n`(%)->List(Integer)`dExtAlgBasis``524526
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``524687
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(%),%)->Union(List(%),"failed")`cPrincipalIdealDomain``525149
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``525356
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``525418
oexprex`1`n`(OutputForm)->String`dHTMLFormat``525455
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``525531
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``527599
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``529667
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``529865
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``530063
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``530436
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``530809
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``530899
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``532954
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``535009
oexp_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``535325
oexquo`2`n`(%,%)->%`dOutputForm``535386
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``535449
oexQuo`2`n`(%,%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``535587
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``535629
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``535671
oexquo`2`x`(%,R)->Union(%,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`535713
oexquo`2`x`(%,R)->Union(%,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`535853
oexquo`2`x`(%,R)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`535973
oexquo`2`x`(%,R)->Union(%,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`536123
oexquo`2`x`(%,R)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`536273
oexquo`2`x`(%,%)->Union(%,"failed")`cEntireRing``536399
oexquo`2`x`(%,%)->Union(%,"failed")`dNonNegativeInteger``536530
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``536672
oextend`2`x`(%,Integer)->%`cLazyStreamAggregate(S)``536775
oextend`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``537012
oextend`2`x`(%,Integer)->%`dContinuedFraction(R)``537096
oextend`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``537256
oextend`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``537421
oextend`2`x`(%,List(R))->%`cPointCategory(R)``537522
oextend`2`x`(%,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``537570
oextend`2`x`(%,P)->%`cTriangularSetCategory(R,E,V,P)``537666
oextend`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``537959
oextend`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``538256
oextendedALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``538355
oextendedCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``538466
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cEuclideanDomain``538539
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(%,%,%)->Union(Record(coef1:%,coef2:%),"failed")`cEuclideanDomain``538926
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``539140
oextendedint`3`n`(F,Symbol,List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``539443
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``539756
oextendedint`4`n`(F,Symbol,List(Kernel(F)),List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``539980
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``540237
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``540448
oextendedResultant`2`n`(%,%)->Record(resultant:R,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`540794
oextendedSubResultantGcd`2`n`(%,%)->Record(gcd:%,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`540957
oextendedSubResultantGcd`2`x`(%,%)->Record(gcd:%,coef1:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`541144
oextendIfCan`2`x`(%,P)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``541315
oextendToPoint`2`n`(%,PT)->%`dSBoundary(PT)``541873
oextension`1`x`(%)->String`cFileNameCategory``542034
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``542101
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``542172
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``542313
oexteriorDifferential`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``542384
oexternal?`1`n`(%)->Boolean`dFortranType``542531
oexternalList`1`n`(%)->List(Symbol)`dSymbolTable``542617
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(%)->S`cBagAggregate(S)``542706
oextract`3`n`(%,Integer,Integer)->%`dSparseEchelonMatrix(C,D)``542789
oextractBottom!`1`x`(%)->S`cDequeueAggregate(S)``542901
oextractClosed`1`n`(%)->Boolean`dSubSpace(n,R)``543038
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``543272
oextractIndex`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``543343
oextractPoint`1`n`(%)->Point(R)`dSubSpace(n,R)``543471
oextractProperty`1`n`(%)->SubSpaceComponentProperty`dSubSpace(n,R)``543630
oextractSplittingLeaf`1`n`(%)->Union(%,"failed")`dSplittingTree(V,C)``543781
oextractSymbol`1`n`(SparseEchelonMatrix(JB,%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``543924
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`2`n`(%,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``544010
oextractTop!`1`x`(%)->S`cDequeueAggregate(S)``544205
oeyeDistance`2`x`(%,Float)->Void`dThreeDimensionalViewport``544337
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``544538
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``544597
ofaceMap`2`n`(%,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``544635
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`544890
ofactor`1`n`(FreeMonoid(VarSet))->List(%)`dLyndonWord(VarSet)``544998
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``545078
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`545153
ofactor`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``545209
ofactor`1`n`(%)->List(%)`dILogic``545387
ofactor`1`n`(%)->List(%)`dLatticeJoinOfMeets``545728
ofactor`1`n`(%)->List(%)`dLatticeMeetOfJoins``546069
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``546410
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``546507
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``546639
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``546714
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``546805
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``547115
ofactor`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``547196
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`547260
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``547475
ofactor`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``547577
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``547658
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``547755
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``547876
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``547960
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``548145
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``548369
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``548481
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``548548
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``548672
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``548781
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``548930
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``549093
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``549325
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``549523
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``549684
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``549924
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``550064
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``550285
ofactor`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``550445
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550476
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550733
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``550962
ofactorAndSplit`1`x`(%)->List(%)`dEquation(S)`has(S,IntegralDomain)`551278
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``551455
ofactorFraction`1`x`(%)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`551684
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``551784
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``551930
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``552171
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(%)->%`cCombinatorialFunctionCategory``552264
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``552429
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``552583
ofactorials`1`x`(%)->%`cCombinatorialOpsCategory``552687
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``552791
ofactorials`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``552919
ofactorizationEquations`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``553047
ofactorizationGroebner`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``553147
ofactorizationSolve`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``553246
ofactorizationTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``553461
ofactorize`2`n`(%,NonNegativeInteger)->List(%)`dFreeDivisionAlgebra(VAR,F)``553573
ofactorList`1`x`(%)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``553721
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``553817
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``553874
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``554011
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``554097
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``554277
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``554420
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``554663
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``555022
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``555140
ofactors`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``555257
ofactors`1`n`(%)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``555387
ofactors`1`n`(%)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``555484
ofactors`1`x`(%)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``555581
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``555873
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``555952
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``556038
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``556152
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``556264
ofactorSquareFree`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``556408
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``556512
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``556795
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``557041
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``557383
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``557697
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``557980
ofailed`0`n`()->%`dPatternMatchListResult(R,S,L)``558176
ofailed`0`n`()->%`dPatternMatchResult(R,S)``558223
ofailed?`1`n`(%)->Boolean`dPatternMatchListResult(R,S,L)``558270
ofailed?`1`n`(%)->Boolean`dPatternMatchResult(R,S)``558332
ofalse`0`x`()->%`cLogic``558394
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``558437
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``558521
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``559354
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``559413
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``559572
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``559733
ofilename`3`x`(String,String,String)->%`cFileNameCategory``560062
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(%,Entry)->%`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`560317
ofill!`2`x`(%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``560444
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``560510
ofilterUntil`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``560569
ofilterUntil`2`x`((S)->Boolean,%)->%`dStream(S)``560649
ofilterWhile`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``560830
ofilterWhile`2`x`((S)->Boolean,%)->%`dStream(S)``560906
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,%)->Union(S,"failed")`cCollection(S)``561090
ofindCycle`2`x`(NonNegativeInteger,%)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``561220
ofindNode`2`n`(%,String)->Scene(PT)`dSceneNamedPoints(PT)``561299
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``561354
ofindPoint`2`n`(%,String)->PT`dSceneNamedPoints(PT)``561572
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``561656
ofinite?`1`x`(%)->Boolean`dCardinalNumber``561788
ofinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``561902
ofinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``561956
ofiniteBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``562010
ofiniteLattice`1`n`(NonNegativeInteger)->%`dFiniteLattice(S,p)``562097
ofiniteLattice`1`n`(S)->%`dFiniteLattice(S,p)``562148
ofinitePoset`2`n`(List(S),List(List(Boolean)))->%`cPoset(S)``562200
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->%`cPoset(S)``562301
ofintegrate`3`n`(()->%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`562453
ofintegrate`3`x`(()->%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`562667
ofirst`1`n`(%)->A`dProduct(A,B)``562881
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(A,S)``0
ofirst`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ofirst`1`n`(%)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``562943
ofirst`1`n`(%)->S`dFreeMonoid(S)``563017
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(%)->VarSet`dFreeMagma(VarSet)``563078
ofirst`1`x`(%)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`563147
ofirst`1`x`(%)->S`cUnaryRecursiveAggregate(S)``563312
ofirst`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``563422
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
ofirst`2`n`(%,NonNegativeInteger)->%`cSequenceCategory(R)``563574
ofirst`2`x`(%,NonNegativeInteger)->%`cLinearAggregate(S)``563653
ofirst`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``563792
ofirstn`2`n`(%,NonNegativeInteger)->List(R)`cSequenceCategory(R)``563879
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``563953
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``564072
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``564391
ofixed_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``0
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``564641
ofixedPoints`1`x`(%)->Set(S)`dPermutation(S)`has(S,Finite)`564765
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``564848
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->%`dFactored(R)``564936
oflatten`1`n`(%)->%`dInputForm``565114
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(%))->%`cFiniteGraph(S)``565354
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``565546
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``565765
oflexibleArray`1`n`(List(S))->%`dIndexedFlexibleArray(S,mn)``565984
oflexibleArray`1`x`(List(S))->%`dFlexibleArray(S)``0
ofloat?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``566075
ofloat`1`x`(%)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``566163
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->%`cFloatingPointSystem``566299
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->%`cFloatingPointSystem``566358
ofloating_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``0
ofloor`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``566417
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(%)->%`cRealNumberSystem``566493
ofloor`1`x`(%)->%`cSpecialFunctionCategory``566556
ofloor`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`566632
oflush`1`n`(%)->Void`dBasicFile``566708
oflush`1`x`(%)->Void`cFileCategory(Name,S)``566778
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(%,E,R,%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`566870
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),%)->%`dFortranCode``566953
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),%)->%`dFortranCode``567082
oformalDiff2`3`n`(List(%),PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DSys:List(%),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``567228
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(%,PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DPhi:%,JVars:List(JB))`cJetBundleFunctionCategory(JB)``567334
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(%,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``567613
oformalDiff`2`n`(List(%),PositiveInteger)->List(%)`cJetBundleFunctionCategory(JB)``567723
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(%,PositiveInteger)->%`cJetBundleFunctionCategory(JB)``567871
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformat`1`n`(%)->OutputBox`dFormatter(F)``568003
oformat`1`n`(OutputForm)->%`dFormatter(F)``568082
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``568166
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``568253
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``568329
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``568405
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``568634
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``568863
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``568952
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``569041
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``569663
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``570285
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``570402
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`cFormatterCategory``570519
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`xFormatterCategory&(S)``570736
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``570953
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``571037
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``571121
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``571172
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``571223
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``571316
oformatStep`2`n`(OutputForm,Integer)->%`dFormatter(F)``571400
oformatString`1`n`(String)->OutputBox`cFormatterCategory``571515
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``571563
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``571611
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``571659
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``571707
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``571764
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``571813
ofortran`3`n`(Symbol,FortranScalarType,FS)->%`dSimpleFortranProgram(R,FS)``571864
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``572048
ofortranCharacter`0`n`()->%`dFortranType``572150
ofortranComplex`0`n`()->%`dFortranType``572230
ofortranDouble`0`n`()->%`dFortranType``572306
ofortranDoubleComplex`0`n`()->%`dFortranType``572390
ofortranInteger`0`n`()->%`dFortranType``572479
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``572555
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``572640
ofortranLogical`0`n`()->%`dFortranType``572762
ofortranReal`0`n`()->%`dFortranType``572838
ofortranTypeOf`2`n`(Symbol,%)->FortranType`dSymbolTable``572908
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``572982
ofracPart`1`x`(%)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``573021
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``573112
ofractionalTerms`1`x`(%)->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``573355
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`573541
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``573683
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(%)->%`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`573754
ofractionPart`1`x`(%)->%`cRealNumberSystem``573881
ofractionPart`1`x`(%)->%`cSpecialFunctionCategory``573951
ofractionPart`1`x`(%)->Fraction(Integer)`dBinaryExpansion``574081
ofractionPart`1`x`(%)->Fraction(Integer)`dDecimalExpansion``574162
ofractionPart`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``574244
ofractionPart`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``574330
ofractRadix`2`x`(List(Integer),List(Integer))->%`dRadixExpansion(bb)``574411
ofractRagits`1`x`(%)->Stream(Integer)`dRadixExpansion(bb)``574622
ofree?`1`n`(%)->Boolean`dLambda(UT)``574716
ofreeConvolution`2`n`(%,%)->%`cDistributionCategory(R)``574818
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``574928
ofreeCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``575045
ofreeCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``575147
ofreeMultiplicativeConvolution`2`x`(%,%)->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`575247
ofreeOf?`2`n`(%,JB)->Boolean`cJetBundleFunctionCategory(JB)``575392
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`x`(%,%)->Boolean`cExpressionSpace2(K)``575488
ofreeOf?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``575618
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``575720
ofreeVariable?`2`n`(%,UT)->Boolean`dSKICombinators(UT)``575820
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``575937
ofresnelC`1`x`(%)->%`cLiouvillianFunctionCategory``576001
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``576125
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``576189
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``576253
ofresnelS`1`x`(%)->%`cLiouvillianFunctionCategory``576317
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``576441
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``576505
ofrobenius`1`n`(%)->%`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`576569
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``576656
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(%)->%`cExtensionField(F)`has(F,Finite)`576697
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(%,NonNegativeInteger)->%`cExtensionField(F)`has(F,Finite)`576785
ofront`1`x`(%)->S`cQueueAggregate(S)``576880
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`577030
ofrst`1`x`(%)->S`cLazyStreamAggregate(S)``577127
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``577312
ofullDisplay`1`x`(%)->Void`dDatabase(S)``577367
ofullDisplay`1`x`(%)->Void`dIndexCard``577445
ofullDisplay`3`x`(%,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``577529
ofullPartialFraction`1`x`(Fraction(UP))->%`dFullPartialFractionExpansion(F,UP)``577652
ofunction`2`n`(Symbol,List(%))->%`dJetBundleXExpression(JB)``577821
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``577920
ofunction`3`n`(%,List(Symbol),Symbol)->%`dInputForm``577991
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``578121
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``578278
ofunction`3`n`(Symbol,List(%),NonNegativeInteger)->%`dJetBundleExpression(JB)``578435
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``578604
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``578711
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``578788
ofunctionGraph`1`n`(List(Permutation(S)))->%`dFunctionGraph(S)``578874
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``578926
ofunctionGraph`1`n`(List(S))->%`dFunctionGraph(S)``579030
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``579302
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``579417
ofunctionName`1`x`(Symbol)->%`dGuessOption``579548
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``579736
ofunctionNames`1`x`(List(Symbol))->%`dGuessOption``579878
ofundamentalGroup`1`n`(%)->GroupPresentation`dDeltaComplex(VS)``580035
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteCubicalComplex(VS)``580100
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteSimplicialComplex(VS)``580585
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``581107
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``581172
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``581698
oGamma`0`n`()->Symbol`pMathematicalSymbols``582261
ogamma`0`n`()->Symbol`pMathematicalSymbols``582330
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``582397
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``582441
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``582519
oGamma`1`x`(%)->%`cSpecialFunctionCategory``582571
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``582623
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``582675
oGamma`2`x`(%,%)->%`cSpecialFunctionCategory``582768
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``582830
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``583035
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``583196
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``583289
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``583370
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``583639
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``583718
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``583802
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`x`(List(%))->%`cGcdDomain``583886
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`583975
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``584050
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``584146
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`x`(%,%)->%`cGcdDomain``584242
ogcd`2`x`(%,%)->%`dNonNegativeInteger``584330
ogcd`2`x`(%,%)->%`dPositiveInteger``584445
ogcd`2`x`(R,%)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`584556
ogcd`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``584646
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``584736
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``584839
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``584971
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``585037
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``585113
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``585214
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``585318
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``585487
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``585656
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cGcdDomain``585740
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cPolynomialFactorizationExplicit``585867
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``585986
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``586084
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``586186
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``586297
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``586408
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``586512
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``586604
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``586635
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``586714
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``587093
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``587268
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``587718
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``588563
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``588766
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``588867
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``588985
ogeneralizedEigenvector`2`x`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``589170
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``589355
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``589635
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`589915
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`590017
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``590143
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`590303
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->%`dGeneralizedFiniteMoebiusFunction(P,R)``590539
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateTaylorSeries(Coef,var,cen)``590624
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``590855
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``591057
ogeneral_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``0
ogeneralPosition`2`x`(%,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``591271
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``591455
ogenerator`0`n`()->%`dCyclicGroup(n,g)``591604
ogenerator`0`n`()->%`dInfiniteCyclicGroup(g)``591653
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`591702
ogenerator`0`x`()->%`cMonogenicAlgebra(R,UP)``591841
ogenerator`1`n`(NonNegativeInteger)->%`dAntiSymm(R,lVar)``591906
ogenerator`1`n`(NonNegativeInteger)->%`dDeRhamComplex(CoefRing,listIndVar)``591998
ogenerator`1`x`(NonNegativeInteger)->%`dFreeNilpotentLie(n,class,R)``592084
ogenerator`1`x`(%)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``592148
ogenerator`3`x`(%,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``592291
ogenerators`0`n`()->List(%)`cFinitelyGenerated``592605
ogenerators`1`x`(%)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``592664
ogenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``592745
ogeneric`0`n`()->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``592820
ogeneric?`1`n`(%)->Boolean`dPattern(R)``592990
ogeneric`1`n`(Symbol)->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``593065
ogeneric`1`n`(Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``593232
ogeneric`1`n`(Vector(Symbol))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``593404
ogeneric`2`n`(Symbol,Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``593608
ogeneric`2`n`(Vector(Symbol),Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``593773
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`594002
ogenericLeftMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`594336
ogenericLeftNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`594481
ogenericLeftTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`594754
ogenericLeftTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`594996
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``595144
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`595290
ogenericRightMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`595625
ogenericRightNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`595775
ogenericRightTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`596015
ogenericRightTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`596222
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``596375
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``596406
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``596619
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``596699
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``596779
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``596868
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``597061
ogetArr`1`n`(%)->List(List(Boolean))`cPoset(S)``597102
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrowIndex`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``597257
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetArrows`1`n`(%)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``597352
ogetBadValues`1`n`(%)->List(Any)`dPattern(R)``597423
ogetBoundValue`1`n`(%)->NonNegativeInteger`dLambda(UT)``597564
ogetCentre`1`n`(%)->PT`dSBoundary(PT)``597646
oget_char`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``597745
ogetChildren`1`n`(%)->List(%)`dILogic``597837
ogetChildren`1`n`(%)->List(%)`dLambda(UT)``597912
ogetChildren`1`n`(%)->List(%)`dLatticeJoinOfMeets``598035
ogetChildren`1`n`(%)->List(%)`dLatticeMeetOfJoins``598110
ogetChildren`1`n`(%)->List(%)`dSKICombinators(UT)``598185
ogetCode`1`n`(%)->List(String)`dFortranCode``598260
ogetCurve`1`n`(%)->Curve`dTubePlot(Curve)``598397
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``598541
ogetDialect`0`n`()->Symbol`dTexFormat``598800
oget_elliptics`2`n`((UP)->UP,F)->List(Record(f_form:R,e_form:R,f_var:F,f_pol:UP))`pGenerateEllipticIntegrals(F,UP,UPUP,R)``598859
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``599001
oget_extension_degree`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``599122
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``599242
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``599317
ogetGraph`2`n`(%,PositiveInteger)->GraphImage`dTwoDimensionalViewport``599395
ogetIndexes`1`n`(%)->List(NonNegativeInteger)`dOrientedFacet``599641
ogetIndexesSigned`1`n`(%)->List(Integer)`dOrientedFacet``599672
ogetIndexs`1`n`(%)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``599733
ogetIntervals`1`n`(%)->List(Segment(Integer))`dCubicalFacet``599761
ogetMatch`2`n`(Pattern(R),%)->Union(S,"failed")`dPatternMatchResult(R,S)``599817
ogetMax`1`n`(%)->PT`dSBoundary(PT)``599978
ogetMaxLeft`1`n`(%)->NonNegativeInteger`dProductFacet``600071
ogetMaxRight`1`n`(%)->NonNegativeInteger`dProductFacet``600105
ogetMin`1`n`(%)->PT`dSBoundary(PT)``600140
oget_mod`1`n`(PMD)->MD`cModularFactorizationOperations(PA,MMT,MD,PMD)``600233
ogetMult`1`n`(%)->Integer`cFacetCategory``600301
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``600335
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``600429
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``600523
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``600617
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``600794
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``600971
ogetName`1`n`(%)->String`cVarCat``601148
ogetNames`1`n`(%)->List(String)`dSceneNamedPoints(PT)``601189
ogetNotation`0`n`()->Symbol`cJetBundleCategory``601253
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``601316
oget_output_mode`0`x`()->Record(mode:String,prec:Integer)`dFloat``601510
ogetPickedPoints`1`n`(%)->List(Point(DoubleFloat))`dTwoDimensionalViewport``601584
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``601887
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``601956
ogetRef`1`n`(%)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``602075
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`602191
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``602318
ogetStream`1`n`(%)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``602367
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``602456
ogetType`1`n`(%)->ILogic`cVarCat``602529
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``602730
oget_value`1`x`(%)->VT`dParametricComplexCurve(VT)``0
ogetVariable`1`n`(%)->UT`dLambda(UT)``602795
ogetVariable`1`n`(%)->UT`dSKICombinators(UT)``602905
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``602983
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ogetVert`1`n`(%)->List(S)`cPoset(S)``603190
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(%,S)->NonNegativeInteger`cFiniteGraph(S)``603375
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(%)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``603467
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``603567
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``603696
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``603834
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``603972
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``604104
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``604363
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``604425
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``604507
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``604577
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``604633
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``604709
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``604773
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``604962
ogotoJump`1`n`(SingleInteger)->%`dFortranCode``605520
ograde`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``605599
ograde`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``605771
ograde`1`x`(%)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``606021
ogradeInvolution`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``606141
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``606198
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``606387
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``606544
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``606716
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``606880
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``607105
ographImage`0`n`()->%`dGraphImage``607535
ographs`1`n`(%)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``607720
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``608060
ographState`14`n`(%,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``608233
ographStates`1`n`(%)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``609320
ogreen`0`x`()->%`dColor``609581
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``609658
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``609695
ogroebner`1`n`(List(%))->List(%)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`609819
ogroebner`1`n`(List(%))->List(%)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`609934
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``610061
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``610277
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``610384
ogroebner?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``610603
ogroebner`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``610698
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``610804
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``610928
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``611383
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``611771
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``612263
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``612841
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``613448
ogroebnerIdeal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``614147
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``614359
oground?`1`n`(%)->Boolean`dJetBundleLinearFunction(JB,D)``614656
oground?`1`n`(%)->Boolean`dJetLazyFunction(JB,D)``614760
oground`1`n`(%)->%`dJetBundleLinearFunction(JB,D)``614855
oground`1`n`(%)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace2&(S,R,K)``0
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oground?`1`x`(%)->Boolean`cFiniteAbelianMonoidRing(R,E)``614916
oground?`1`x`(%)->Boolean`cFunctionSpace2(R,K)``615007
oground`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)``615077
oground`1`x`(%)->R`cFunctionSpace2(R,K)``615155
ogroupPresentation`0`n`()->%`dGroupPresentation``615282
ogroupPresentation`1`n`(List(NonNegativeInteger))->%`dGroupPresentation``615345
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->%`dGroupPresentation``615406
ogroup_terms`1`x`(List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger)))->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``615453
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``615493
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615584
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615777
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615935
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616231
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616494
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`616724
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616929
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617123
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617419
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617692
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617930
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`618120
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``618359
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`618575
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``618814
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619030
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`619246
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619477
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`619670
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``619901
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620106
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620311
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620540
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620733
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`621037
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``621239
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``621527
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``621860
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622125
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`622398
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622664
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622921
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`623203
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623475
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623721
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`623909
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624073
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohahn_p`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``624225
ohahn_p`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``624317
ohahnQ`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``624409
ohahnQ`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``624476
ohahnR`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``624549
ohahnR`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``624621
ohahnS`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``624693
ohahnS`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``624776
ohalfExtendedResultant1`2`n`(%,%)->Record(resultant:R,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`624859
ohalfExtendedResultant2`2`n`(%,%)->Record(resultant:R,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`625003
ohalfExtendedSubResultantGcd1`2`n`(%,%)->Record(gcd:%,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`625147
ohalfExtendedSubResultantGcd1`2`x`(%,%)->Record(gcd:%,coef1:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`625303
ohalfExtendedSubResultantGcd2`2`n`(%,%)->Record(gcd:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`625481
ohalfExtendedSubResultantGcd2`2`x`(%,%)->Record(gcd:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`625637
ohandle_imaginary`1`n`(FiniteDivisor(F,UP,UPUP,R))->Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean)`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``625815
ohandler`3`n`(%,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``625882
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``626035
ohankelDeterminants`1`n`(%)->Stream(R)`cDistributionCategory(R)``626143
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``626251
ohankelH1`2`x`(%,%)->%`cSpecialFunctionCategory``626344
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``626437
ohankelH2`2`x`(%,%)->%`cSpecialFunctionCategory``626535
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``626633
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``626807
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``626999
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``627254
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``627494
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``627672
ohas?`2`x`(%,Symbol)->Boolean`dBasicOperator``627780
ohasDimension?`1`n`(%)->Boolean`dSimpleCell(TheField,ThePols)``627861
ohasDimension?`2`n`(%,Symbol)->Boolean`dCell(TheField)``628033
ohash`1`n`(%)->SingleInteger`cHashable``628178
ohash`1`n`(S)->SingleInteger`xHashable&(S)``0
ohasHi`1`x`(%)->Boolean`dUniversalSegment(S)``628237
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`n`(HashState,%)->HashState`cHashable``628315
ohashUpdate!`2`n`(HashState,S)->HashState`xFinite&(S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFramedModule&(S,R)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xPolynomialCategory&(S,R,E,VarSet)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``628504
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``628749
ohasPredicate?`1`n`(%)->Boolean`dPattern(R)``628888
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``628968
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``629060
ohasTopPredicate?`1`n`(%)->Boolean`dPattern(R)``629152
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``629231
ohcenter`1`n`(NonNegativeInteger)->(%)->%`dOutputBox``629331
ohclf`2`n`(%,%)->%`dFreeMonoid(S)``629422
ohconcat`1`n`(List(%))->%`dOutputBox``629600
ohconcat`1`n`(List(%))->%`dOutputForm``629720
ohconcat`2`n`(%,%)->%`dOutputForm``629799
ohcrf`2`n`(%,%)->%`dFreeMonoid(S)``629883
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``630062
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``630151
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(%)->%`cDoublyLinkedAggregate(S)``630239
ohead`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``630355
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``630572
oheadReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``630774
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``631011
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``631164
oheadReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``631268
oheadReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``631395
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,%)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`631508
oheap`1`x`(List(S))->%`dHeap(S)``631741
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``631832
oheight`1`n`(%)->NonNegativeInteger`cKernelCategory(S)``631955
oheight`1`n`(%)->NonNegativeInteger`dOutputBox``632018
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace2&(S,K)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``632126
oheight`1`x`(%)->NonNegativeInteger`cExpressionSpace2(K)``632233
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``632527
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``632848
ohensel_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``633055
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``633132
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``633403
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``633484
ohermiteH`2`x`(%,%)->%`cSpecialFunctionCategory``633542
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``633600
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``633765
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``634165
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``634308
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``634721
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``634911
ohex`1`x`(Fraction(Integer))->%`dHexadecimalExpansion``635099
ohexDigit`0`x`()->%`dCharacterClass``635175
ohexDigit?`1`x`(%)->Boolean`dCharacter``635297
ohigh`1`x`(%)->S`cSegmentCategory(S)``635431
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``635523
ohitherPlane`2`x`(%,Float)->Void`dThreeDimensionalViewport``635617
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``635799
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``635834
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``635896
ohomogeneous?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``635989
ohomogeneous?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``636079
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``636189
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``636320
ohomology0`0`n`()->%`dHomology``636679
ohomology`1`n`(%)->List(Homology)`dChainComplex``636740
ohomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``636788
ohomology`1`n`(%)->List(Homology)`dFiniteCubicalComplex(VS)``636836
ohomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``636884
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->%`dHomology``637048
ohomologyc2`0`n`()->%`dHomology``637076
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->%`dHomology``637141
ohomologyz`0`n`()->%`dHomology``637315
ohomologyzc2`0`n`()->%`dHomology``637379
ohomologyzz`0`n`()->%`dHomology``637446
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``637512
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``637649
ohorizJoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``637880
ohorizSplit`2`n`(%,C)->Record(Left:%,Right:%)`dSparseEchelonMatrix(C,D)``638048
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``638247
ohorizSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``638456
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``638609
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``638727
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``639133
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``639192
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``639252
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``639350
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``639421
ohspace`1`n`(Integer)->%`dOutputForm``639505
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``639568
ohue`1`n`(Point(R))->R`pPointPackage(R)``639669
ohue`1`x`(%)->Color`dPalette``639992
ohue`1`x`(%)->Integer`dColor``640070
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``640146
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``640282
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`640418
ohypergeometricF`3`x`(List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`640507
oI`0`n`()->%`dSKICombinators(UT)``640596
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640636
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640694
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640757
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640815
oiCompose`2`n`(%,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``640878
oid`1`x`(A)->A`pMappingPackage1(A)``641095
oideal`1`n`(Vector(A))->%`dFractionalIdeal(R,F,UP,A)``641127
oideal`1`x`(%)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``641210
oideal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``641288
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641393
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``641493
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641650
oidealSimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``641817
oidentification`2`n`(%,%)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``642115
oidentity`0`n`()->%`dSTransform(PT)``642296
oidentity`0`x`()->%`dDenavitHartenbergMatrix(R)``642380
oidentityMatrix`1`n`(NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`642434
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``642525
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``642584
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``642648
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`642712
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`642776
oiExquo`3`n`(%,%,Boolean)->Union(%,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``642840
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``643022
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643183
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``643239
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``643295
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``643352
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``643408
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``643465
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``643521
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643578
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643637
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643701
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643760
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``643824
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``643880
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``643937
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``643993
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``644050
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``644106
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644163
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644223
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644283
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644343
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``644403
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644460
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``644518
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``644580
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``644635
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``644691
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``644746
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``644802
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``644857
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``644913
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644973
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645031
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``645088
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``645143
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``645200
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``645258
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``645326
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``645381
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645420
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``645477
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``645539
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645604
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``645660
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``645699
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``645754
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``645810
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``645865
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``645921
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``645977
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``646033
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``646088
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``646144
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``646204
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``646303
oimag`1`x`(%)->R`cComplexCategory(R)``646402
oimagE`1`x`(%)->R`cOctonionCategory(R)``646460
oimagI`1`x`(%)->R`cOctonionCategory(R)``646542
oimagi`1`x`(%)->R`cOctonionCategory(R)``646624
oimagI`1`x`(%)->R`cQuaternionCategory(R)``646696
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->%`cComplexCategory(R)``646780
oimagJ`1`x`(%)->R`cOctonionCategory(R)``646838
oimagj`1`x`(%)->R`cOctonionCategory(R)``646920
oimagJ`1`x`(%)->R`cQuaternionCategory(R)``646992
oimagK`1`x`(%)->R`cOctonionCategory(R)``647076
oimagk`1`x`(%)->R`cOctonionCategory(R)``647158
oimagK`1`x`(%)->R`cQuaternionCategory(R)``647230
oimplies`2`n`(%,%)->%`dILogic``647314
oimplies`2`x`(%,%)->%`dBoolean``647563
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(%,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``647659
oinBounds?`3`n`(%,%,%)->Boolean`cSPointCategory``647749
oinc`1`x`(%)->%`cIntegerNumberSystem``647895
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``647938
oincFatal`1`n`(String)->Void`pUnittestCount``648058
oincidenceAlgebra`2`n`(Matrix(R),List(S))->%`dIncidenceAlgebra(R,S)``648163
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->%`dIncidenceAlgebra(R,S)``648275
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``648387
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``648701
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``648818
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``649003
oincPass`0`n`()->Void`pUnittestCount``649188
oincr`1`x`(%)->Integer`cSegmentCategory(S)``649266
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`649421
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``649551
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``649733
oincrementKthElement`2`n`(%,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``649926
oincTest`0`n`()->Void`pUnittestCount``650114
oincXfFail`0`n`()->Void`pUnittestCount``650181
oincXfFatal`1`n`(String)->Void`pUnittestCount``650272
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``650337
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``650418
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``650571
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``650672
oindex`1`n`(%)->IS`dModuleMonomial(IS,E,ff)``650705
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(%)->PositiveInteger`cJetBundleCategory``650742
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`x`(PositiveInteger)->%`cFinite``650811
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``651059
oindex?`2`x`(Index,%)->Boolean`cIndexedAggregate(Index,Entry)``651161
oindexes`1`n`(%)->List(List(NonNegativeInteger))`dSceneIFS(PT)``651243
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``651311
oindexName`1`x`(Symbol)->%`dGuessOption``651422
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(%,NonNegativeInteger)->S`cPoset(S)``651561
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(%)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``651626
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(%)->List(Index)`cIndexedAggregate(Index,Entry)``651697
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``651794
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``651884
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``652042
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``652138
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``652234
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``652334
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652434
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652668
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652902
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``653170
oinf`1`x`(%)->R`cIntervalCategory(R)``653438
oinf`2`x`(%,%)->%`cOrderedAbelianMonoidSup``653492
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``653598
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``653735
oinfinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``653871
oinfinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``653929
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``654003
oinfinity`0`x`()->%`dOnePointCompletion(R)``654151
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``654194
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``654237
oinfix?`1`n`(%)->Boolean`dOutputForm``654350
oinfix`2`n`(%,List(%))->%`dOutputForm``654460
oinfix`3`n`(%,%,%)->%`dOutputForm``654604
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``654692
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``654998
oinfLex?`4`n`(%,%,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``655304
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``655485
oinfRittWu?`2`x`(%,%)->Boolean`cTriangularSetCategory(R,E,V,P)``655654
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``655780
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``655877
oinfsum`1`n`(Stream(%))->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``655974
oinGroundField?`1`x`(%)->Boolean`cExtensionField(F)``656116
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``656223
oini_rdata`2`n`(PA,MD)->PMD`cModularFactorizationOperations(PA,MMT,MD,PMD)``656622
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->%`cStepThrough``656840
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``656901
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->%`cFiniteGraph(S)``657094
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``657161
oinitializeGroupForWordProblem`1`x`(%)->Void`dPermutationGroup(S)``657313
oinitializeGroupForWordProblem`3`x`(%,Integer,Integer)->Void`dPermutationGroup(S)``657753
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``658210
oinitiallyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``658422
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``658670
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``658898
oinitiallyReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``659055
oinitiallyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``659192
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(%)->List(P)`cTriangularSetCategory(R,E,V,P)``659379
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``659481
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``659536
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``659852
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``659936
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``660049
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``660175
oinput`1`x`(%)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``660529
oinput`2`x`(%,(List(InputForm))->InputForm)->%`dBasicOperator``660643
oinR?`1`n`(%)->Boolean`dPattern(R)``660865
oinRadical?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``660960
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``661071
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``661137
oinsert`2`n`(List(D),%)->%`dJetDifferentialEquation(JB,D)``661234
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,%)->%`cBagAggregate(S)``661337
oinsert!`2`x`(S,%)->%`dBinarySearchTree(S)``661408
oinsert!`2`x`(S,%)->%`dBinaryTournament(S)``661508
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert!`3`x`(%,%,Integer)->%`cExtensibleLinearAggregate(S)``661607
oinsert`3`x`(%,%,Integer)->%`cLinearAggregate(S)``661719
oinsert!`3`x`(S,%,Integer)->%`cExtensibleLinearAggregate(S)``661929
oinsert`3`x`(S,%,Integer)->%`cLinearAggregate(S)``662031
oinsert!`3`x`(S,%,NonNegativeInteger)->%`cMultiDictionary(S)``662222
oinsertBottom!`2`x`(S,%)->S`cDequeueAggregate(S)``662333
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`662463
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``662506
oinsertMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``662557
oinsertRoot!`2`x`(S,%)->%`dBinarySearchTree(S)``662723
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``662826
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``663062
oinsertTop!`2`x`(S,%)->S`cDequeueAggregate(S)``663383
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(%)->S`cBagAggregate(S)``663619
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``663684
oint`1`n`(%)->%`dOutputForm``663796
oint`2`n`(%,%)->%`dOutputForm``663882
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``663998
oint`3`n`(%,%,%)->%`dOutputForm``664083
ointBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``664240
ointBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``664355
ointBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``664471
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``664563
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``664709
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``664749
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``664790
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``664842
ointeger?`1`n`(%)->Boolean`dFortranScalarType``664897
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``664989
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``665080
ointeger?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``665196
ointeger`1`x`(%)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``665279
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``665403
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``665497
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``665591
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``665737
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``665883
ointegerPart`1`n`(%)->NonNegativeInteger`dSmallOrdinal``665987
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``666095
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``666162
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``666376
ointegral`2`n`(F,F)->%`dIntegrationResult(F)``666451
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``666547
ointegral`2`n`(F,Symbol)->%`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`666679
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``666775
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(%,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``666864
ointegral`2`x`(%,SegmentBinding(%))->%`cPrimitiveFunctionCategory``666956
ointegral`2`x`(%,Symbol)->%`cPrimitiveFunctionCategory``667097
ointegral?`2`x`(%,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``667179
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``667274
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``667362
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``668220
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``669078
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``669928
ointegralBasis`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``670786
ointegralBasisAtInfinity`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``670858
ointegralCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``670944
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``671155
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``671500
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``671615
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``671840
ointegralRepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``672069
ointegrate`1`n`(%)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`672241
ointegrate`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`672430
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``672613
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`x`(%)->%`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`672682
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`672799
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``673063
ointegrate`2`n`(%,PositiveInteger)->%`cJetBundleCategory``673168
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(%,Symbol)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`673299
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673432
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673621
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673810
ointegrate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`674004
ointegrate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`674193
ointegrate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`674382
ointegrate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``674576
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``674740
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`674904
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``675019
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``675183
ointegrate`2`x`(%,Symbol)->%`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`675298
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``675462
ointegrate`2`x`(%,Var)->%`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`675593
ointegrate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`675823
ointegrate`3`n`(%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`676012
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``676168
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``676569
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``676970
ointegrate`3`x`(%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`677371
ointegrateIfCan`2`n`(%,PositiveInteger)->Union(%,"failed")`cJetBundleCategory``677527
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``677652
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``677734
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``678182
ointensity`2`x`(%,Float)->Void`dThreeDimensionalViewport``678235
ointernal?`1`n`(%)->Boolean`dSubSpace(n,R)``678433
ointernalAugment`2`x`(List(P),%)->%`cRegularTriangularSetCategory(R,E,V,P)``678474
ointernalAugment`2`x`(P,%)->%`cRegularTriangularSetCategory(R,E,V,P)``678639
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``678751
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``678880
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``679009
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``679114
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``679219
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``679302
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``679428
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``679513
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``679639
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``679757
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``679890
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``680117
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``680344
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``680605
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``680861
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``680978
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``681095
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``681145
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``681532
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``681711
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret`1`n`(%)->Any`dInputForm``681766
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``681829
ointerpret_in_new_env`1`n`(%)->Any`dInputForm``681953
ointerpretString`1`n`(String)->Any`pTemplateUtilities``682089
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``682200
ointersect`1`x`(List(%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``682498
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(%,%)->%`cSetAggregate(S)``682585
ointersect`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``682856
ointersect`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``682951
ointersect`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``683129
ointersect`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``683236
ointersect`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``683317
ointersection`1`n`(List(%))->%`dSBoundary(PT)``683400
ointerval`1`x`(Fraction(Integer))->%`cIntervalCategory(R)``683566
ointerval`1`x`(R)->%`cIntervalCategory(R)``683632
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``683698
ointerval`2`x`(R,R)->%`cIntervalCategory(R)``683786
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``683929
oinv`1`n`(%)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``684051
oinv`1`n`(%)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``684086
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``684121
oinv`1`x`(%)->%`cDivisionRing``684193
oinv`1`x`(%)->%`cGroup``684286
oinv`1`x`(%)->%`cOctonionCategory(R)`has(R,Field)`684340
oinv`1`x`(%)->%`dEquation(S)`has(S,Field)`684407
oinverse`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``684476
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``684530
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``684598
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``684818
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`684980
oinverse`1`x`(%)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`685133
oinverse`1`x`(%)->Union(%,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`685295
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``685427
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``686133
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``686263
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``686492
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``686728
oinvertALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``686938
oinvertible?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``687065
oinvertible?`2`x`(P,%)->List(Record(val:Boolean,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``687187
oinvertibleElseSplit?`2`x`(P,%)->Union(Boolean,List(%))`cRegularTriangularSetCategory(R,E,V,P)``687408
oinvertibleSet`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``687605
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`687785
oinvertIfCan`1`x`(%)->Union(%,"failed")`dMatrix(R)`has(R,IntegralDomain)`687860
oinvertMIN`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``688026
oinvertSTD`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``688206
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(%,%)->%`cIntegerNumberSystem``688362
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``688455
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``688587
oiomode`1`x`(%)->String`cFileCategory(Name,S)``688704
oIota`0`n`()->Symbol`pMathematicalSymbols``688850
oiota`0`n`()->Symbol`pMathematicalSymbols``688917
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``688982
oiprint`1`n`(String)->Void`pInternalPrintPackage``689037
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`689116
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``689179
oirreducible?`1`n`(UP)->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``689260
oirreducible?`2`n`(PA,MD)->Boolean`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``689324
oirreducible?`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->Boolean`pModularFactorizationK(K)``0
oirreducible?`2`n`(U32Vector,Integer)->Boolean`pModularFactorization``0
oirreducibleFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``689488
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`689651
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``689923
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``690278
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``690504
ois?`2`n`(%,BasicOperator)->Boolean`cKernelCategory(S)``690782
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`n`(%,Symbol)->Boolean`cKernelCategory(S)``690850
ois?`2`x`(%,BasicOperator)->Boolean`cExpressionSpace2(K)``690931
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``691015
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``691142
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``691285
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`691377
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`691633
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`691889
ois?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``692172
ois?`2`x`(%,Symbol)->Boolean`dBasicOperator``692273
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`692344
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`692480
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(%)->Boolean`cFiniteGraph(S)``692970
oisAntiChain?`1`n`(%)->Boolean`cPoset(S)``693040
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``693163
oisBoundNode?`1`n`(%)->Boolean`dLambda(UT)``693241
oisBox?`1`n`(%)->Boolean`dSBoundary(PT)``693312
oisChain?`1`n`(%)->Boolean`cPoset(S)``693391
oisCompound?`1`n`(%)->Boolean`dLambda(UT)``693503
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``693593
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``693722
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``693851
oisEllipse?`1`n`(%)->Boolean`dSBoundary(PT)``694016
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``694097
oisExpt`1`n`(S)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(%)->Union(Record(val:%,exponent:NonNegativeInteger),"failed")`dPattern(R)``694204
oisExpt`1`x`(%)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`694316
oisExpt`1`x`(%)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`694401
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`x`(%,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`694514
oisExpt`2`x`(%,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`694626
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(%,NonNegativeInteger)->Boolean`cFiniteGraph(S)``694736
oisFreeNode?`1`n`(%)->Boolean`dLambda(UT)``694815
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(%)->Boolean`cFiniteGraph(S)``694888
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``695051
oisI?`1`n`(%)->Boolean`dSKICombinators(UT)``695253
oisK?`1`n`(%)->Boolean`dSKICombinators(UT)``695319
oisLambda?`1`n`(%)->Boolean`dLambda(UT)``695384
oisList`1`n`(%)->Union(List(%),"failed")`dPattern(R)``695457
oisMult`1`n`(S)->Union(Record(coef:Integer,var:K),"failed")`xFunctionSpace2&(S,R,K)``0
oisMult`1`x`(%)->Union(Record(coef:Integer,var:K),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`695569
oisNodeBranch?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``695656
oisNodeLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``695728
oisNull?`1`n`(%)->Boolean`dSBoundary(PT)``695820
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(%)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``695915
oisOp`1`n`(%)->Union(Record(op:BasicOperator,arg:List(%)),"failed")`dPattern(R)``696098
oisOp`2`n`(%,BasicOperator)->Union(List(%),"failed")`dPattern(R)``696222
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``696344
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(%)->Union(List(%),"failed")`dPattern(R)``696476
oisPlus`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`696619
oisPlus`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)``696720
oisPoint?`1`n`(%)->Boolean`cSPointCategory``696876
oisPointLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``696973
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``697094
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisPower`1`n`(%)->Union(Record(val:%,exponent:%),"failed")`dPattern(R)``697202
oisPower`1`x`(%)->Union(Record(val:%,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`697298
oisQuotient`1`n`(%)->Union(Record(num:%,den:%),"failed")`dPattern(R)``697384
oisS?`1`n`(%)->Boolean`dSKICombinators(UT)``697483
oisSubsetOf?`2`n`(%,%)->Boolean`dOrientedFacet``697548
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``697674
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``697788
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(%)->Union(List(%),"failed")`dPattern(R)``697910
oisTimes`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`698040
oisTimes`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`698140
oisVector?`1`n`(%)->Boolean`cSPointCategory``698439
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``698534
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``698611
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``698763
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``698910
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``699194
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699393
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``699564
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``699681
ojacobiCn`2`x`(%,%)->%`cSpecialFunctionCategory``699745
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``699916
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699980
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``700153
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``700270
ojacobiDn`2`x`(%,%)->%`cSpecialFunctionCategory``700334
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``700507
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``700571
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``700781
ojacobiMatrix`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``700991
ojacobiMatrix`1`n`(%)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``701091
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(%),List(List(JB)))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``701194
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``701423
ojacobiP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``701489
ojacobiParameters`1`n`(%)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`701555
ojacobiParameters`1`n`(%)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`701668
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``701781
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``701959
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``702103
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``702220
ojacobiSn`2`x`(%,%)->%`cSpecialFunctionCategory``702284
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``702428
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``702492
ojacobiTheta`2`x`(%,%)->%`cSpecialFunctionCategory``702575
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``702658
ojacobiZeta`2`x`(%,%)->%`cSpecialFunctionCategory``702860
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``703062
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``703123
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``703211
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`703448
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`703555
ojetVariables`1`n`(%)->List(JB)`cJetBundleFunctionCategory(JB)``703662
ojoin`1`n`(List(%))->%`dLatticeJoinOfMeets``703771
ojoin`1`n`(List(%))->%`dLatticeMeetOfJoins``703809
ojoin`2`n`(%,%)->%`dJetDifferentialEquation(JB,D)``703847
ojoin`2`n`(%,%)->%`dOrientedFacet``703948
ojoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``704095
ojoin`2`x`(%,List(%))->%`cStringAggregate``704177
ojoin`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``704393
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``704550
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``704641
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``704900
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``705192
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``705484
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``705844
oK`0`n`()->%`dSKICombinators(UT)``706204
oKappa`0`n`()->Symbol`pMathematicalSymbols``706244
okappa`0`n`()->Symbol`pMathematicalSymbols``706313
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``706380
okaratsubaDivide`2`x`(%,NonNegativeInteger)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`706739
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``706839
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``707008
okelvinBei`2`x`(%,%)->%`cSpecialFunctionCategory``707188
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``707366
okelvinBer`2`x`(%,%)->%`cSpecialFunctionCategory``707544
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``707722
okelvinKei`2`x`(%,%)->%`cSpecialFunctionCategory``707917
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``708112
okelvinKer`2`x`(%,%)->%`cSpecialFunctionCategory``708307
okernel`1`n`(Symbol)->%`cKernelCategory(S)``708502
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
okernel`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``708563
okernel`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``708647
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->%`cKernelCategory(S)``708754
okernels`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`x`(%)->List(K)`cExpressionSpace2(K)``708955
okernels`1`x`(List(%))->List(K)`cExpressionSpace2(K)``709121
okey`1`n`(%)->Integer`dGraphImage``709319
okey`1`n`(%)->Integer`dTwoDimensionalViewport``709450
okey`1`x`(%)->Integer`dThreeDimensionalViewport``709608
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,%)->Boolean`cKeyedDictionary(Key,Entry)``709770
okeys`1`n`(%)->List(String)`dBasicKeyedAccessFile``709843
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(%)->List(Key)`cKeyedDictionary(Key,Entry)``709901
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->%`cFiniteGraph(S)``709967
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``710286
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``710326
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``710394
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``710468
oknownHandler?`3`n`(%,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``710555
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``710874
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``710921
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``711245
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``711679
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``711700
okrawtchoukK`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``711721
okrawtchoukK`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``711795
okroneckerDelta`0`x`()->%`dCartesianTensor(minix,dim,R)``711869
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(%,Integer,List(List(NonNegativeInteger)),List(%),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``712064
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`712104
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`712309
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``712476
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``712610
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``712706
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``712828
okummerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``712896
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``712966
okummerU`3`x`(%,%,%)->%`cSpecialFunctionCategory``713034
olabel`2`n`(%,%)->%`dOutputForm``713104
olagrange`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``713180
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``713334
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``713464
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``713524
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``713804
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``713978
olaguerreL`3`x`(%,%,%)->%`cSpecialFunctionCategory``714043
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``714108
oLambda`0`n`()->Symbol`pMathematicalSymbols``714259
olambda`0`n`()->Symbol`pMathematicalSymbols``714330
olambda`1`n`(NonNegativeInteger)->%`dLambda(UT)``714399
olambda`1`n`(UT)->%`dLambda(UT)``714473
olambda`2`n`(%,%)->%`dLambda(UT)``714522
olambda`2`n`(%,List(Symbol))->%`dInputForm``714573
olambda`2`n`(%,UT)->%`dLambda(UT)``714756
olambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``714832
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``715199
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``715508
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``715528
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``715548
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``715568
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``715588
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``715608
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``715628
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``715648
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``715668
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``715688
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``715708
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``715728
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``715748
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``715844
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``715916
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``715976
olambertW`1`x`(%)->%`cSpecialFunctionCategory``716036
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``716146
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``716206
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``716266
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``716616
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``716637
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``716658
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``716679
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``716700
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``716721
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``716742
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``717014
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``717159
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`717710
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``717880
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(%)->S`cDoublyLinkedAggregate(S)``718042
olast`1`x`(%)->S`cUnaryRecursiveAggregate(S)``718157
olast`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``718269
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``718420
olastSubResultant`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`718560
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``718764
olastSubResultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`718868
olastSubResultant`3`x`(P,P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``719105
olastSubResultantElseSplit`3`x`(P,P,%)->Union(P,List(%))`cRegularTriangularSetCategory(R,E,V,P)``719761
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``720108
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(%)->String`cSetCategory``720264
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeJoinOfMeets``720348
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeMeetOfJoins``720392
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``720436
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``720619
olaurent`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``720689
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``720822
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``720937
olaurent`2`x`(Integer,Stream(Coef))->%`cUnivariateLaurentSeriesCategory(Coef)``721182
olaurent`2`x`(Integer,UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``721369
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``721429
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``721628
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`721802
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``721995
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
olaurentIfCan`1`x`(%)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``722196
olaurentRep`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``722351
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``722486
oLazardQuotient2`4`x`(%,%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`722578
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``722712
oLazardQuotient`3`x`(%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`722788
olazy?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``722906
olazyEvaluate`1`x`(%)->%`cLazyStreamAggregate(S)``723074
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`723351
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`723431
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``723528
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`723637
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``724065
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``724205
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``724355
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``724568
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``724840
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``724984
olazyPseudoDivide`2`n`(%,%)->Record(coef:R,gap:NonNegativeInteger,quotient:%,remainder:%)`dNewSparseUnivariatePolynomial(R)``725143
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``725373
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``725582
olazyPseudoQuotient`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``725816
olazyPseudoRemainder`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``725943
olazyResidueClass`2`n`(%,%)->Record(polnum:%,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``726183
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`x`(%,%)->Record(polnum:%,polden:%,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``726460
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`726687
olc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``726817
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(%))->%`cGcdDomain``726855
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(%,%)->%`cGcdDomain``726948
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``727034
olcmCoef`2`n`(%,%)->Record(llcm_res:%,coeff1:%,coeff2:%)`cLeftOreRing``727166
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``727379
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``727647
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``727760
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``728041
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``728304
ole`3`n`(A,S,S)->Boolean`xPoset&(A,S)``0
ole`3`n`(%,S,S)->Boolean`cPreorder(S)``728396
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(%)->V`cDifferentialPolynomialCategory(R,S,V,E)``728602
oleadingBasisTerm`1`n`(%)->%`dAntiSymm(R,lVar)``728776
oleadingBasisTerm`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``728879
oleadingCoefficient`1`n`(%)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`728977
oleadingCoefficient`1`n`(A)->R`xFreeModuleCategory&(A,R,S)``0
oleadingCoefficient`1`n`(%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``729160
oleadingCoefficient`1`n`(%)->R`cSolvableSkewPolynomialCategory(R,Expon)``729261
oleadingCoefficient`1`n`(%)->R`dAntiSymm(R,lVar)``729361
oleadingCoefficient`1`n`(%)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``729467
oleadingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``729517
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`x`(%)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``729564
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``729661
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``729814
oleadingDer`1`n`(%)->JB`cJetBundleFunctionCategory(JB)``730172
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingExponent`1`n`(%)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``730307
oleadingIdeal`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``730354
oleadingIndex`1`n`(%)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``730467
oleadingMonomial`1`n`(A)->A`xFreeModuleCategory&(A,R,S)``0
oleadingMonomial`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`730511
oleadingMonomial`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``730646
oleadingMonomial`1`n`(%)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``730737
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``730784
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingSupport`1`n`(%)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`730867
oleadingTerm`1`n`(%)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`731036
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(%)->Boolean`dSubSpace(n,R)``731189
oleaf?`1`x`(%)->Boolean`cRecursiveAggregate(S)``731226
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``731287
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``731542
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``731816
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xUnaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(%)->List(S)`cRecursiveAggregate(S)``731935
oleft`1`n`(%)->%`dFreeMagma(VarSet)``732009
oleft`1`n`(%)->%`dLyndonWord(VarSet)``732139
oleft`1`n`(%)->%`dOutputForm``732270
oleft`1`x`(%)->%`cBinaryRecursiveAggregate(S)``732337
oleft`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``732383
oleft`2`n`(%,Integer)->%`dOutputForm``732456
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``732544
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``732770
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``732996
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``733154
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``733524
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``733894
oleftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`734207
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`734415
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`734670
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`734797
oleft_ext_GCD`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Union(Record(g:XDistributedPolynomial(vl,F),c1:XDistributedPolynomial(vl,F),c2:XDistributedPolynomial(vl,F),cu:XDistributedPolynomial(vl,F),cv:XDistributedPolynomial(vl,F)),"failed")`pXPolynomialFactor(vl,F)``734918
oleftFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``735294
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``735447
oleftFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``735687
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`735748
oleftIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``735987
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`736051
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`736253
oleftMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``736487
oleftMult`2`n`(S,%)->%`dListMonoidOps(S,E,un)``736665
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``736793
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`736891
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`736948
oleftPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``737005
oleftPower`2`x`(%,PositiveInteger)->%`cMagma``737199
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`737393
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``737587
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`737753
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``737849
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`738088
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`738327
oleftRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``738547
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``738736
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``738908
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`739212
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``739407
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``739603
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``739696
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``739980
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``740264
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(%,CharacterClass)->%`cStringAggregate``740478
oleftTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`740658
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`740826
oleftUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``740951
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`741074
oleftZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`741198
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``741255
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``741531
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`741887
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``742056
olegendreP`3`x`(%,%,%)->%`cSpecialFunctionCategory``742130
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``742204
olegendreQ`3`x`(%,%,%)->%`cSpecialFunctionCategory``742278
olength`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``742352
olength`1`n`(%)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``742408
olength`1`n`(%)->PositiveInteger`dFreeMagma(VarSet)``742500
olength`1`n`(%)->PositiveInteger`dLyndonWord(VarSet)``742567
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``742634
olength`1`x`(%)->%`cIntegerNumberSystem``742745
olength`1`x`(%)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`742799
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``742910
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``742944
olerchPhi`3`x`(%,%,%)->%`cSpecialFunctionCategory``743007
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``743070
oless?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``743174
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``743253
olevel`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``743457
oleviCivitaSymbol`0`x`()->%`dCartesianTensor(minix,dim,R)``743594
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``743828
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``743895
olexico`2`n`(%,%)->Boolean`dFreeMagma(VarSet)``744084
olexico`2`n`(%,%)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`744374
olexico`2`n`(%,%)->Boolean`dLyndonWord(VarSet)``744532
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``744690
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``745320
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``745697
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``745862
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``745935
olhs`1`n`(%)->S1`dSuchThat(S1,S2)``746162
olhs`1`x`(%)->F`dRewriteRule(Base,R,F)``746217
olhs`1`x`(%)->S`dEquation(S)``746287
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``746361
oli`1`x`(%)->%`cLiouvillianFunctionCategory``746421
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``746550
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``746610
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``746670
olibrary`1`x`(FileName)->%`dLibrary``746717
olie`2`n`(%,%)->%`dJetVectorField(JB,D)``746771
olie`2`n`(JetVectorField(JB,D),%)->%`dJetDifferential(JB,D)``746909
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``747005
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``747212
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``747419
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``747749
oLiePoly`1`x`(LyndonWord(VarSet))->%`cFreeLieAlgebra(VarSet,R)``748079
oLiePolyIfCan`1`n`(%)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``748164
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(%,"failed")`dLiePolynomial(VarSet,R)``748243
olift`1`n`(%)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``748380
olift`1`n`(%)->Rep`dModMonic(R,Rep)``748472
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`x`(%)->UP`cMonogenicAlgebra(R,UP)``748528
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``748630
olift`8`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``748671
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->Union((SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``748706
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)`has(R,EuclideanDomain)`749234
olight`1`x`(Color)->%`dPalette``749537
olighting`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``749629
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``749899
olimit`2`n`(%,NonNegativeInteger)->Loop`dFunctionGraph(S)``749966
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``750107
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``750194
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``750321
olimit`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``750448
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``750589
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``750792
olimitPart`1`n`(%)->%`dSmallOrdinal``751063
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``751207
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``751282
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``751359
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``751574
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``751789
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``752004
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``752219
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``752443
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``752658
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``752873
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``753136
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``753190
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``753317
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``753355
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(%,SparseUnivariatePolynomial(F))->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`753398
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`754073
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(%,%)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`754227
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`754467
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``754623
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``754859
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``755117
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``755364
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``755517
olinearExtend`2`x`((S)->R,%)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`755658
olinearization`1`n`(%)->Matrix(%)`dFreeDivisionAlgebra(VAR,F)``755786
olinearization`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``755942
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``756020
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``756155
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``756317
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``756499
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``756670
olinearSearch`1`n`((S)->Boolean)->Union(S,"failed")`pSortedCache(S)``756838
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``757041
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``757145
olineIntersect`2`n`(%,PT)->PT`dSBoundary(PT)``757271
olines`1`n`(%)->List(String)`dOutputBox``757532
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``757652
olink`2`n`(%,%)->List(PT)`dSBoundary(PT)``757690
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``757934
olink`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``757976
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``758105
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``758258
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``758405
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``758480
olist`1`x`(S)->%`cListAggregate(S)``758561
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``758625
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``758741
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``758857
olistLoops`1`n`(%)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``759109
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(%)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``759226
olistOfLists`1`x`(%)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``759315
olistOfLists`1`x`(%)->List(List(S))`dTableau(S)``759403
olistOfMonoms`1`n`(%)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``759479
olistOfTerms`1`n`(%)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``759561
olistOfTerms`1`n`(%)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``759660
olistOfTerms`1`x`(%)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``759738
olistRepresentation`1`x`(%)->Record(preimage:List(S),image:List(S))`dPermutation(S)``759964
olists`1`n`(%)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``760332
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``760401
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``760870
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``760896
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``760922
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``760947
olllip`1`x`(%)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``761093
olllp`1`x`(%)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``761363
ollprop`1`x`(%)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``761621
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``761877
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``762078
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``762279
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``763166
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``764059
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``764944
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``765837
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``765897
olog10`0`x`()->%`dFloat``766013
olog10`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``766081
olog10`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``766159
olog10`1`x`(%)->%`dDoubleFloat``766252
olog10`1`x`(%)->%`dFloat``766325
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``766396
olog`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``766602
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``766669
olog`1`n`(F)->F`pElementaryFunction(R,F)``766825
olog`1`n`(%)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``766889
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``766945
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``767003
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``767061
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``767132
olog`1`x`(%)->%`cElementaryFunctionCategory``767205
olog2`0`x`()->%`dFloat``767448
olog2`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``767534
olog2`1`x`(%)->%`dDoubleFloat``767625
olog2`1`x`(%)->%`dFloat``767696
olog`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`767765
olog`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``767859
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``767961
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``768050
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``768211
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``768410
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``768648
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``768713
ological?`1`n`(%)->Boolean`dFortranScalarType``768778
ologicF`0`n`()->%`dILogic``768870
ologicF`0`n`()->%`dLatticeJoinOfMeets``768929
ologicF`0`n`()->%`dLatticeMeetOfJoins``768996
ologicT`0`n`()->%`dILogic``769063
ologicT`0`n`()->%`dLatticeJoinOfMeets``769105
ologicT`0`n`()->%`dLatticeMeetOfJoins``769148
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``769191
ologpart`1`n`(%)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``769278
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``769358
olog_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``769433
olommelS1`3`x`(%,%,%)->%`cSpecialFunctionCategory``769504
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``769575
olommelS2`3`x`(%,%,%)->%`cSpecialFunctionCategory``769646
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``769717
olookup`1`x`(%)->PositiveInteger`cFinite``769790
oloop`1`n`(List(NonNegativeInteger))->%`dLoop``769878
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``769955
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(%)->List(Loop)`cFiniteGraph(S)``770431
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(%,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``770790
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(%)->List(Loop)`cFiniteGraph(S)``770898
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olooseEquals`2`n`(%,%)->Boolean`cFiniteGraph(S)``771058
olow`1`x`(%)->S`cSegmentCategory(S)``771454
olowerCase`0`x`()->%`dCharacterClass``771543
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase?`1`x`(%)->Boolean`dCharacter``771667
olowerCase!`1`x`(%)->%`cStringAggregate``771778
olowerCase`1`x`(%)->%`cStringAggregate``771882
olowerCase`1`x`(%)->%`dCharacter``771963
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``772134
olowerSet`1`n`(%)->%`cPoset(S)``772286
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``772428
olp`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``772641
olprop`1`x`(%)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``772937
olquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``773139
olquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``773223
olquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``773417
olquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``773508
olquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``773601
olquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``773698
olSpaceBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``773782
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``773891
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``773982
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``774228
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``774468
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``774554
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``774759
olyndon`1`n`(FreeMonoid(VarSet))->%`dLyndonWord(VarSet)``774819
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``774922
oLyndonCoordinates`1`n`(%)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``775012
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(%,"failed")`dLyndonWord(VarSet)``775096
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(%))`dLyndonWord(VarSet)``775162
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(%)`dLyndonWord(VarSet)``775297
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``775422
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``775493
omainCharacterization`1`x`(%)->Union(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),"failed")`dRealClosure(TheField)``775564
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``775658
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`775939
omainDefiningPolynomial`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``776148
omainForm`1`x`(%)->Union(OutputForm,"failed")`cRealClosedField``776259
omainKernel`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
omainKernel`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
omainKernel`1`x`(%)->Union(K,"failed")`cExpressionSpace2(K)``776333
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``776503
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``776706
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`776974
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`777196
omainValue`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``777421
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``777528
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(%)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``777687
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``777887
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``778046
omainVariableOf`1`n`(%)->Symbol`dCell(TheField)``778170
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``778236
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->%`dCell(TheField)``778380
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),%)->%`dCell(TheField)``778458
omakeCos`2`x`(E,R)->%`dFourierSeries(R,E)``778584
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``778673
omakeDisjoint`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``778710
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``778836
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``778956
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``779275
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``779537
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``779865
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->%`dFactored(R)``779972
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``780071
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->%`dGraphImage``780309
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->%`dGraphImage``780766
omake_imaginary_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``781286
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->%`dListMonoidOps(S,E,un)``781565
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``781649
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``781933
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``782217
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``782538
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``782815
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``783116
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``783348
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``783701
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``783940
omakeObject`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``784280
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``784378
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``784655
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``784942
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``785295
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``785715
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``786087
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``786520
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``786896
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``787285
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``787496
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``787927
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``788387
omakeop`2`n`(R,FreeGroup(BasicOperator))->%`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->%`dModuleOperator(R,M)``788919
omake_real_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``788972
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``789246
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``789747
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->%`dPatternMatchListResult(R,S,L)``789937
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``790024
omakeSin`2`x`(E,R)->%`dFourierSeries(R,E)``790145
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->%`dPlaneAlgebraicCurvePlot``790234
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(%)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``791135
omakeSystem`1`n`(List(D))->%`dJetDifferentialEquation(JB,D)``791262
omakeTerm`2`n`(S,E)->%`dListMonoidOps(S,E,un)``791339
omakeUnit`0`n`()->%`dListMonoidOps(S,E,un)``791474
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(%)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`791541
omakeVariable`1`x`(S)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)``791869
omakeVariable`2`x`(S,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``792192
omakeViewport2D`1`n`(%)->%`dTwoDimensionalViewport``792334
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->%`dTwoDimensionalViewport``792556
omakeViewport3D`1`x`(%)->%`dThreeDimensionalViewport``792906
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->%`dThreeDimensionalViewport``793132
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->%`dThreeDimensionalViewport``793468
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``793713
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``793997
omantissa`1`n`(%)->Integer`dMachineFloat``794085
omantissa`1`x`(%)->Integer`cFloatingPointSystem``794144
omap`2`n`((A)->A,%)->%`cIndexedProductCategory(A,S)``794209
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``794359
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),%)->%`dDeRhamComplex(CoefRing,listIndVar)``794499
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->%`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),%)->Union(%,"failed")`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``794608
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``794650
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``794774
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),%)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((R)->R,%)->%`dAntiSymm(R,lVar)``794870
omap`2`n`((R)->R,%)->%`dXPolynomialRing(R,E)``794965
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``795064
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap`2`n`((S)->S,K)->S`xExpressionSpace2&(S,K)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``795199
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``795239
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``795381
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``795501
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``795597
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``795781
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``795968
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``796130
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``796305
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``796412
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``796629
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``796771
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``796932
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``796972
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``797012
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``797052
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``797161
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``797270
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``797392
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``797434
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``797543
omap`2`x`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``797584
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``797626
omap`2`x`((%)->%,K)->%`cExpressionSpace2(K)``797668
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``797773
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``797855
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``797897
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``797939
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``798028
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``798124
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``798220
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``798260
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``798340
omap`2`x`((R)->R,%)->%`cFullyEvalableOver(R)``798436
omap`2`x`((R)->R,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``798531
omap!`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``798642
omap`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``798738
omap`2`x`((R)->R,%)->%`cXFreeAlgebra(vl,R)``798844
omap`2`x`((R)->R,%)->%`dFactored(R)``798943
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``799210
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``799309
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``799503
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``799586
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``799673
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``799938
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``800118
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``800234
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``800407
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``800498
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``800622
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``800769
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``800809
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``801098
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``801191
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`801270
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``801501
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``801571
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``801706
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`801841
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``801932
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``802039
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``802202
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``802364
omap!`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)`has(%,shallowlyMutable)`802456
omap`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)``802556
omap`2`x`((S)->S,%)->%`dEquation(S)``802727
omap`2`x`((S)->S,%)->%`dInfiniteTuple(S)``802824
omap`2`x`((S)->S,%)->L`cSegmentExpansionCategory(S,L)``802907
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``803132
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``803261
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``803402
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``803711
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``803756
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``803801
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``804238
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``804283
omap`3`x`((Entry,Entry)->Entry,%,%)->%`cTableAggregate(Key,Entry)``804556
omap`3`x`((R,R)->R,%,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``804805
omap`3`x`((R,R)->R,%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``804959
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``805083
omap`3`x`((S,S)->S,%,%)->%`cLinearAggregate(S)``805204
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R,R)->R,%,%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``805414
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``805776
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omap`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``805950
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``806352
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``806447
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapContra`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``806561
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`806693
omapDown!`3`x`(%,S,(S,S)->S)->%`dBalancedBinaryTree(S)``806791
omapDown!`3`x`(%,S,(S,S,S)->List(S))->%`dBalancedBinaryTree(S)``807235
omapExpon`2`n`((E)->E,%)->%`dListMonoidOps(S,E,un)``807833
omapExpon`2`n`((Integer)->Integer,%)->%`dFreeGroup(S)``807920
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,%)->%`dFreeMonoid(S)``808007
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,%)->%`cFiniteAbelianMonoidRing(R,E)``808094
omapGen`2`n`((S)->S,%)->%`dFreeGroup(S)``808223
omapGen`2`n`((S)->S,%)->%`dFreeMonoid(S)``808308
omapGen`2`n`((S)->S,%)->%`dListMonoidOps(S,E,un)``808393
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``808478
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``808650
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``808749
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``808928
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``809033
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``809138
omapUp!`2`x`(%,(S,S)->S)->S`dBalancedBinaryTree(S)``809304
omapUp!`3`x`(%,%,(S,S,S,S)->S)->%`dBalancedBinaryTree(S)``809629
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(%)->%`cIntegerNumberSystem``810104
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``810171
omatch?`3`x`(%,%,Character)->Boolean`cStringAggregate``810577
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``810768
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``811143
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``811507
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``811885
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``812279
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``812658
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``812750
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``812993
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``813085
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``813325
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``813417
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``813658
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``813750
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``813991
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``814083
omatrix`1`n`(List(List(%)))->%`dOutputForm``814324
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(%)->Matrix(R)`dIncidenceAlgebra(R,S)``814434
omatrix`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``814514
omatrix`1`x`(List(List(R)))->%`cMatrixCategory(R,Row,Col)``814581
omatrix`1`x`(List(List(R)))->%`cRectangularMatrixCategory(m,n,R,Row,Col)``814727
omatrix`1`x`(%)->SquareMatrix(n,K)`dQuadraticForm(n,K)``814873
omatrix`2`n`(%,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``814957
omatrix`2`n`(%,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``815066
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``815150
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->%`cMatrixCategory(R,Row,Col)``815316
omatrixConcat3D`3`n`(Symbol,%,%)->%`dThreeDimensionalMatrix(R)``815438
omatrixDimensions`1`n`(%)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``815540
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``815609
omax`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`815788
omax`0`x`()->%`dSingleInteger``815851
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omax`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``815907
omax`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`816092
omax`1`x`(%)->S`cPriorityQueueAggregate(S)``816178
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(%,%)->%`cSPointCategory``816255
omax`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``816532
omax`2`n`((S,S)->Boolean,A)->S`xFiniteSetAggregate&(A,S)``0
omax`2`n`((S,S)->Boolean,A)->S`xHomogeneousAggregate&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`(%,%)->%`cOrderedSet``816736
omax`2`x`((S,S)->Boolean,%)->S`cHomogeneousAggregate(S)`has(%,finiteAggregate)`816830
omaxColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``816971
omaxColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``817063
omaxdeg`1`n`(%)->E`dXPolynomialRing(R,E)``817153
omaxdeg`1`x`(%)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``817311
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``817397
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``817454
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``817801
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``817866
omaximumExponent`0`n`()->Integer`dMachineFloat``818033
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``818107
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteCubicalComplex(VS)``818191
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``818222
omaxIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``818253
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`818282
omaxint`0`n`()->PositiveInteger`dMachineInteger``818471
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``818535
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``818609
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``818664
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``818864
omaxMixedDegree`1`x`(NonNegativeInteger)->%`dGuessOption``818931
omaxPoints`0`n`()->Integer`dPlot``819270
omaxPoints`0`x`()->Integer`pGraphicsDefaults``819343
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``819417
omaxPoints3D`0`n`()->Integer`dPlot3D``819488
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``819564
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``819619
omaxPrecedence`0`n`()->Integer`cFormatterCategory``819920
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``819990
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``820060
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``820142
omaxRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``820225
omaxRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``820314
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``820401
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``820456
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``820595
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``820650
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(%)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``821010
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`821207
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`822234
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`822640
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`822824
omedialSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``823886
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``823993
omeet`1`n`(List(%))->%`dLatticeJoinOfMeets``824543
omeet`1`n`(List(%))->%`dLatticeMeetOfJoins``824581
omeet`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``824619
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``824778
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``824869
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`825128
omeijerG`5`x`(List(%),List(%),List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`825202
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``825276
omeixnerM`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``825344
omeixnerP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``825412
omeixnerP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``825497
omember?`2`n`(PositiveInteger,%)->Boolean`dSetOfMIntegersInOneToN(m,n)``825584
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),%)->Boolean`dVectorSpaceBasis(R)``825688
omember?`2`x`(Permutation(S),%)->Boolean`dPermutationGroup(S)``825787
omember?`2`x`(S,%)->Boolean`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`825909
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(%)->List(P)`dFiniteMoebiusFunction(P)``826139
omembers`1`n`(%)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``826202
omembers`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`826265
omerge`1`n`(List(%))->%`dSubSpace(n,R)``826437
omerge`1`x`(List(%))->%`cThreeSpaceCategory(R)``826516
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(%,%)->%`cFiniteGraph(S)``826710
omerge`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``826903
omerge`2`n`(%,%)->%`dSubSpace(n,R)``826951
omerge!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`827043
omerge`2`x`(%,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`827135
omerge`2`x`(%,%)->%`cPriorityQueueAggregate(S)``827262
omerge!`2`x`(%,%)->%`cPriorityQueueAggregate(S)``827393
omerge`2`x`(%,%)->%`cThreeSpaceCategory(R)``827522
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,%,%)->%`cExtensibleLinearAggregate(S)``827700
omerge`3`x`((S,S)->Boolean,%,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`827803
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``828409
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omergeFactors`2`x`(%,%)->%`dFactored(R)``828594
omesh?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``828897
omesh`1`x`(List(List(Point(R))))->%`cThreeSpaceCategory(R)``829111
omesh`1`x`(%)->List(List(Point(R)))`cThreeSpaceCategory(R)``829338
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``829600
omesh`4`x`(%,List(List(List(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``830336
omesh`4`x`(%,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``831247
omesh`4`x`(%,List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``831801
omesh`4`x`(%,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``832572
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832946
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``833011
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``833080
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``833140
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``833206
omessage`1`n`(String)->%`dOutputForm``833281
omessagePrint`1`n`(String)->Void`dOutputForm``833366
omfactor`2`n`(PA,MD)->List(PA)`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``833506
omfactor`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(PrimitiveArray(K))`pModularFactorizationK(K)``0
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``833718
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``833789
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``833866
omightHaveRoots`2`x`(ThePolDom,%)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``833971
omin`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`834047
omin`0`x`()->%`dSingleInteger``834110
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omin`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``834167
omin`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`834345
omin`1`x`(%)->S`cOrderedMultisetAggregate(S)``834431
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(%,%)->%`cSPointCategory``834515
omin`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``834794
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(%,%)->%`cOrderedSet``834991
ominColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``835085
ominColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``835178
omindeg`1`n`(%)->E`dXPolynomialRing(R,E)``835269
omindeg`1`x`(%)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``835427
omindegTerm`1`x`(%)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``835523
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``835600
ominimal?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``835638
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``835706
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``835834
ominimalPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`835952
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(%,PositiveInteger)->SparseUnivariatePolynomial(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`836031
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``836191
ominimize`1`n`(%)->%`dFractionalIdeal(R,F,UP,A)``836401
ominimize`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``836477
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(%)->E`cFiniteAbelianMonoidRing(R,E)``836652
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(%,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``836775
ominimumDegree`2`x`(%,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``836933
ominimumExponent`0`n`()->Integer`dMachineFloat``837106
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``837180
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``837264
ominIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``837295
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`837324
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``837511
ominordet`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`837635
ominordet`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`837759
ominPoints`0`n`()->Integer`dPlot``837847
ominPoints`0`x`()->Integer`pGraphicsDefaults``837920
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``837994
ominPoints3D`0`n`()->Integer`dPlot3D``838065
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``838141
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``838176
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`838211
ominPoly`1`x`(K)->SparseUnivariatePolynomial(%)`cExpressionSpace2(K)`has(%,Ring)`838281
ominPrecedence`0`n`()->Integer`cFormatterCategory``838350
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``838418
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``838486
ominRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``838568
ominRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``838658
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``838746
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`838895
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``838996
ominus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``839148
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``839216
ominus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``839421
ominusInfinity`0`x`()->%`dOrderedCompletion(R)``839529
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``839578
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``839631
omirror`1`n`(%)->%`dFreeMagma(VarSet)``839749
omirror`1`n`(%)->%`dFreeMonoid(S)``839961
omirror`1`n`(%)->%`dLieExponentials(VarSet,R,Order)``840024
omirror`1`x`(%)->%`cFreeLieAlgebra(VarSet,R)``840106
omirror`1`x`(%)->%`cXFreeAlgebra(vl,R)``840202
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``840302
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->%`dIntegrationResult(F)``840337
omkcomm`1`x`(Integer)->%`dCommutator``840498
omkcomm`2`x`(%,%)->%`dCommutator``840538
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``840583
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``840644
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`840911
omod_exp`3`n`(PA,Integer,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``841032
omodifyPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``841126
omodifyPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``841627
omodifyPoint`3`n`(%,NonNegativeInteger,Point(R))->%`dSubSpace(n,R)``842096
omodifyPointData`3`x`(%,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``842413
omodifyPointData`3`x`(%,NonNegativeInteger,Point(R))->%`cThreeSpaceCategory(R)``842682
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``842920
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``843075
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``843171
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``843261
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``843352
omodular_compose`5`n`(PA,MMT,PA,NonNegativeInteger,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``843398
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``843619
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``844160
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``844295
omodule`1`n`(FractionalIdeal(R,F,UP,A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`844540
omodule`1`n`(Vector(A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)``844616
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``844722
omoduloP`1`x`(%)->Integer`cPAdicIntegerCategory(p)``845621
omodulus`0`n`()->Rep`dModMonic(R,Rep)``845684
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``845733
omodulus`1`n`(%)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``845788
omodulus`1`n`(%)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``845827
omodulus`1`n`(%)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``845866
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``845905
omoebius`4`n`(F,F,F,F)->%`dMoebiusTransform(F)``846133
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``846219
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``846345
omoebiusFunction`1`n`(List(P))->%`dFiniteMoebiusFunction(P)``846477
omoebiusMatrix`1`n`(%)->Matrix(Integer)`dFiniteMoebiusFunction(P)``846561
omoebiusMatrix`1`n`(%)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``846619
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``846676
omoebiusMu`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``846953
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``847038
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``847161
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``847279
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`847396
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`847479
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`847585
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``847701
omoment`2`n`(%,NonNegativeInteger)->R`cDistributionCategory(R)``847817
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`847906
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`848035
omoments`1`n`(%)->Sequence(R)`cDistributionCategory(R)``848163
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``848249
omonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``848352
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``848533
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``848766
omonicDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`848908
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(%,%,VarSet)->Record(quotient:%,remainder:%)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`849099
omonicLeftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`849350
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`849587
omonicModulo`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``849871
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``850036
omonicRightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`850165
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`850404
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``850690
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``850952
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``851028
omonomial1`1`n`(MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``851119
omonomial?`1`n`(%)->Boolean`cIndexedProductCategory(A,S)``851196
omonomial?`1`n`(%)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``851337
omonomial?`1`n`(%)->Boolean`dLaurentPolynomial(R,UP)``851404
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``851445
omonomial`2`n`(A,S)->%`cIndexedProductCategory(A,S)``851518
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->%`cSolvableSkewPolynomialCategory(R,Expon)``851629
omonomial`2`n`(R,Integer)->%`dLaurentPolynomial(R,UP)``851727
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``851772
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``851817
omonomial`2`x`(R,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``851930
omonomial`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``852031
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``852111
omonomial`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``852277
omonomial`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``852397
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``852455
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``852666
omonomials`1`n`(A)->List(A)`xFreeModuleCategory&(A,R,S)``0
omonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)``852830
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(%)->List(%)`cFreeModuleCategory(R,S)``853014
omonotoneConvolution`2`n`(%,%)->%`cDistributionCategory(R)``853099
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``853217
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``853342
omonotoneCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`853507
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`853615
omore?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``853824
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``853903
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``854152
omorphism`1`n`((R,Integer)->R)->%`dAutomorphism(R)``854401
omorphism`1`n`((R)->R)->%`dAutomorphism(R)``854484
omorphism`2`n`((R)->R,(R)->R)->%`dAutomorphism(R)``854565
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``854693
omove`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``854887
omove`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``855139
omovedPoints`1`x`(%)->Set(S)`dPermutationGroup(S)``855395
omovedPoints`1`x`(%)->Set(S)`dPermutation(S)``855473
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``855563
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``855747
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``855832
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``856007
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``856046
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``856110
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``856226
omrv_limit`3`n`(Expression(Integer),Symbol,OrderedCompletion(Expression(Integer)))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``856412
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``856494
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``856547
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``856650
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``856763
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``856844
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``856945
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``856991
oMu`0`n`()->Symbol`pMathematicalSymbols``857068
omu`0`n`()->Symbol`pMathematicalSymbols``857131
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``857192
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``857226
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``857418
omul_by_scalar`3`n`(PrimitiveArray(K),Integer,K)->Void`dModularFactorizationTools3(K)``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``857659
omulmod`3`x`(%,%,%)->%`cIntegerNumberSystem``857833
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(%),%)->Union(List(%),"failed")`cEuclideanDomain``857918
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``858141
omultifunctionGraph`1`n`(List(Permutation(S)))->%`dMultifunctionGraph(S)``858198
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->%`dMultifunctionGraph(S)``858250
omultifunctionGraph`1`n`(List(S))->%`dMultifunctionGraph(S)``858398
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dMultifunctionGraph(S)``858705
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dMultifunctionGraph(S)``858876
omultiIndex`1`n`(%)->List(NonNegativeInteger)`cJetBundleCategory``858995
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``859079
omultiple?`1`n`(%)->Boolean`dPattern(R)``859200
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``859345
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``859651
omultiplicative?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``859921
omultiplyALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``860038
omultiplyCoefficients`2`n`((Integer)->Coef,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``860183
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateLaurentSeriesCategory(Coef)``860353
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateTaylorSeriesCategory(Coef)``860570
omultiplyColumn!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``860795
omultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``860903
omultiplyExponents`2`x`(%,Fraction(Integer))->%`cUnivariatePuiseuxSeriesCategory(Coef)``860989
omultiplyExponents`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``861125
omultiplyExponents`2`x`(%,PositiveInteger)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``861296
omultiplyMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``861424
omultiplyRow!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``861514
omultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``861616
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``861695
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``861842
omultiset`0`x`()->%`dMultiset(S)``861964
omultiset`1`x`(List(S))->%`dMultiset(S)``862045
omultiset`1`x`(S)->%`dMultiset(S)``862121
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(F)``862191
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``862242
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``862345
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->%`cPolynomialCategory(R,E,VarSet)``862448
omultivariate`2`x`(SparseUnivariatePolynomial(%),VarSet)->%`cPolynomialCategory(R,E,VarSet)``862583
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``862718
omultivector`1`x`(List(K))->%`dCliffordAlgebra(n,K,bLin)``862772
omultMonom`3`n`(R,E,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``862853
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``862904
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``863005
omutable?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``863144
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(%)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``863213
omvar`1`x`(%)->V`cRecursivePolynomialCategory(R,E,V)``863365
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``863556
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``863595
omy_root3`1`n`(F)->F`pRootUtilities(R,F)``863652
omy_sqrt`1`n`(F)->F`pRootUtilities(R,F)``863710
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``863767
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``863794
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``864329
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``864864
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``865420
oname`1`n`(%)->Symbol`cJetBundleCategory``865976
oname`1`n`(%)->Symbol`cKernelCategory(S)``866046
oname`1`n`(%)->Symbol`dFunctionCalled(f)``866110
oname`1`n`(%)->Symbol`dRuleCalled(f)``866151
oname`1`x`(%)->%`dSymbol``866192
oname`1`x`(%)->Name`cFileCategory(Name,S)``866252
oname`1`x`(%)->String`cFileNameCategory``866322
oname`1`x`(%)->Symbol`dBasicOperator``866384
onamedBranch`2`n`(List(%),List(String))->%`dSceneNamedPoints(PT)``866438
onamedPoints`2`n`(List(PT),List(String))->%`dSceneNamedPoints(PT)``866520
onamedPoints`2`n`(List(Scene(PT)),List(String))->%`dSceneNamedPoints(PT)``866595
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(%,%)->%`cBitAggregate``866669
onand`2`x`(%,%)->%`dBoolean``866768
onary?`1`x`(%)->Boolean`dBasicOperator``866850
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``866914
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``867184
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``867454
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``868091
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``868728
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``868892
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``869056
oncols`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``869255
oncols`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``869309
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``869386
oncols`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``869463
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(%)->Boolean`cIntervalCategory(R)``869538
onegative?`1`x`(%)->Boolean`cOrderedRing``869653
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``869728
onelem`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``869828
onew`0`n`()->%`dFormatter(F)``869883
onew`0`n`()->%`dHashState``870120
onew`0`n`()->%`dOperatorHandlers(HANDLER)``870164
onew`0`n`()->%`dPatternMatchListResult(R,S,L)``870224
onew`0`n`()->%`dPatternMatchResult(R,S)``870278
onew`0`n`()->%`dSubSpaceComponentProperty``870332
onew`0`n`()->%`dSubSpace(n,R)``870366
onew`0`n`()->%`dTexFormat``870400
onew`0`x`()->%`dSymbol``870571
onew`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``870639
onew`1`x`(%)->%`dSymbol``870688
onew`2`n`(FreeMonoid(VAR),F)->%`dFreeDivisionAlgebra(VAR,F)``870765
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``870844
onew`2`n`(List(C),Integer)->%`dSparseEchelonMatrix(C,D)``870981
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->%`cLinearAggregate(S)``871169
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``871271
onew`3`x`(String,String,String)->%`cFileNameCategory``871369
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``871687
onewGreek`0`n`()->Symbol`pMathematicalSymbols``871791
onewline`0`x`()->%`dCharacter``871847
onewLine`0`x`()->String`pDisplayPackage``871903
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``871963
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``872080
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``872187
onewTypeLists`1`n`(%)->SExpression`dSymbolTable``872549
onext`1`x`(%)->%`cDoublyLinkedAggregate(S)``872593
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``872789
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``873128
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(%)->Union(%,"failed")`cStepThrough``873472
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``873559
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``873992
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``874321
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``874737
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``875135
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``875533
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``875617
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``876033
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``876368
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``876522
onext_subResultant2`4`x`(%,%,%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`876618
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``876836
onilFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``877873
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`878028
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``878337
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`878934
onode`3`x`(%,S,%)->%`cBinaryTreeCategory(S)``879066
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``879196
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``879323
onodeOf?`2`n`(SplittingNode(V,C),%)->Boolean`dSplittingTree(V,C)``879445
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(%)->List(%)`cRecursiveAggregate(S)``879542
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``879623
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``879749
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``879870
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``879970
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``880213
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``880314
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``880415
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``880455
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`880584
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(%,%)->%`cBitAggregate``880713
onor`2`x`(%,%)->%`dBoolean``880810
onorm`1`n`(%)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``880890
onorm`1`n`(%)->F`dFractionalIdeal(R,F,UP,A)``880953
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``881015
onorm`1`x`(%)->%`cRealNumberSystem``881146
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``881203
onorm`1`x`(%)->R`cComplexCategory(R)``881321
onorm`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``881382
onorm`1`x`(%)->R`cOctonionCategory(R)``881497
onorm`1`x`(%)->R`cQuaternionCategory(R)``881607
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``881703
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``881785
onorm`2`x`(%,Kernel(%))->%`dAlgebraicNumber``881882
onorm`2`x`(%,List(Kernel(%)))->%`dAlgebraicNumber``882019
onorm`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`882157
onorm`2`x`(SparseUnivariatePolynomial(%),Kernel(%))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``882521
onorm`2`x`(SparseUnivariatePolynomial(%),List(Kernel(%)))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``882652
onormal01`0`n`()->Float`pRandomFloatDistributions``882784
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``882823
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``882988
onormal?`1`x`(%)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`883086
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``883369
onormalALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``883412
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``883488
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``883623
onormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`883725
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``884163
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`884273
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``884449
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``884697
onormalisePoint`1`n`(%)->%`dSConformal(n)``884862
onormalize!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``884955
onormalize`1`x`(%)->%`dFloat``885206
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``885275
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``885395
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``885453
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``885524
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``885871
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``885951
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``886023
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``886200
onormalized?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``886356
onormalized?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``886481
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``886664
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``886915
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`887118
onormalizeDIAG!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``887321
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``887455
onormalizePLS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``887563
onormalizeRHS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``887754
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``887902
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``887943
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``887986
oNot`1`n`(%)->%`dIndexedBits(mn)``888085
onot`1`n`(%)->%`dOutputForm``888160
oNOT`1`n`(%)->%`dSwitch``888216
onot`1`n`(S)->S`xBitAggregate&(S)``0
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``888304
onot`1`x`(%)->%`cBitAggregate``888392
onot`1`x`(%)->%`dBoolean``888470
onot`1`x`(%)->%`dSingleInteger``888524
oNot`1`x`(%)->%`dSingleInteger``888618
onotelem`1`n`(%)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``888712
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``888795
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``888951
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``889107
onrows`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``889683
onrows`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``889734
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``889808
onrows`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``889882
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``889954
onthExpon`2`n`(%,Integer)->E`dListMonoidOps(S,E,un)``889992
onthExpon`2`n`(%,Integer)->Integer`dFreeGroup(S)``890078
onthExpon`2`n`(%,Integer)->NonNegativeInteger`dFreeMonoid(S)``890164
onthFactor`2`n`(%,Integer)->S`dFreeGroup(S)``890250
onthFactor`2`n`(%,Integer)->S`dFreeMonoid(S)``890335
onthFactor`2`n`(%,Integer)->S`dListMonoidOps(S,E,un)``890420
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``890505
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``890564
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(%,Integer)->%`cRadicalCategory``890875
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``890946
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``891344
oNu`0`n`()->Symbol`pMathematicalSymbols``891458
onu`0`n`()->Symbol`pMathematicalSymbols``891521
oNul`1`n`(NonNegativeInteger)->%`dExtAlgBasis``891582
onull?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``891678
onullary`1`x`(A)->()->A`pMappingPackage1(A)``891759
onullary?`1`x`(%)->Boolean`dBasicOperator``891843
onullBoundary`0`n`()->%`dSBoundary(PT)``891901
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``892026
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`892159
onullity`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`892292
onullity`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`892425
onullSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``892558
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`892783
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`892869
onullSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`892955
onullSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`893041
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`893128
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``893214
onumber?`1`x`(%)->Boolean`dExpression(R)`has(R,IntegralDomain)`893358
onumberOfChildren`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``893413
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``893461
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``893553
onumberOfComponents`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``893645
onumberOfComposites`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``893840
onumberOfComputedEntries`1`x`(%)->NonNegativeInteger`cLazyStreamAggregate(S)``894296
onumberOfCycles`1`x`(%)->NonNegativeInteger`dPermutation(S)``894475
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``894577
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``894770
onumberOfFactors`1`x`(%)->NonNegativeInteger`dFactored(R)``895035
onumberOfFractionalTerms`1`x`(%)->Integer`dPartialFraction(R)``895111
onumberOfHues`0`x`()->PositiveInteger`dColor``895252
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``895335
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``895847
onumberOfMonomials`1`x`(%)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``896020
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``896100
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``896246
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``896603
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``896960
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``897112
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumer`1`n`(%)->A`dLocalAlgebra(A,R)``897179
onumer`1`n`(%)->M`dLocalize(M,R)``897236
onumer`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``897293
onumer`1`x`(%)->S`cQuotientFieldCategory(S)``897377
onumer`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``897448
onumer`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,Ring)`897558
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``897797
onumerator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
onumerator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,Ring)`897858
onumerator`1`x`(%)->%`cQuotientFieldCategory(S)``897936
onumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``898022
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`898210
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`898277
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`898344
onumeric`1`x`(S)->Float`pNumeric(S)``898411
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`898478
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`898580
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`898682
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``898784
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`898886
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`899003
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`899120
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`899237
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`899389
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`899541
onumerJP`1`n`(%)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``899693
onumFunEvals`0`n`()->Integer`dPlot``899764
onumFunEvals3D`0`n`()->Integer`dPlot3D``899830
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``899899
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
oobj`1`x`(%)->None`dAny``899968
oobjectOf`1`x`(%)->OutputForm`dAny``900120
oobjects`1`x`(%)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``900232
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(%,S)->NonNegativeInteger`cPoset(S)``900463
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``900528
oocton`2`x`(Quaternion(R),Quaternion(R))->%`dOctonion(R)``900875
oocton`8`x`(R,R,R,R,R,R,R,R)->%`cOctonionCategory(R)``900986
oodd?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oodd?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`901096
oodd?`1`x`(%)->Boolean`cIntegerNumberSystem``901163
oodd?`1`x`(%)->Boolean`dPermutation(S)``901237
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``901370
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``901521
ooddlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``901591
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``901968
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``902294
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``902402
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``902631
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``902721
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``902848
oOMbindTCP`2`x`(%,SingleInteger)->Boolean`dOpenMathConnection``903004
oOMclose`1`x`(%)->Void`dOpenMathDevice``903028
oOMcloseConn`1`x`(%)->Void`dOpenMathConnection``903106
oOMconnectTCP`3`x`(%,String,SingleInteger)->Boolean`dOpenMathConnection``903132
oOMconnInDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``903159
oOMconnOutDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``903191
oomega`0`n`()->%`dSmallOrdinal``903224
oOmega`0`n`()->Symbol`pMathematicalSymbols``903276
oomega`0`n`()->Symbol`pMathematicalSymbols``903345
oomegapower`1`n`(%)->%`dSmallOrdinal``903412
oOMencodingBinary`0`x`()->%`dOpenMathEncoding``903456
oOMencodingSGML`0`x`()->%`dOpenMathEncoding``903539
oOMencodingUnknown`0`x`()->%`dOpenMathEncoding``903629
oOMencodingXML`0`x`()->%`dOpenMathEncoding``903825
oomError`2`x`(OpenMathErrorKind,List(Symbol))->%`dOpenMathError``903909
oOMgetApp`1`x`(%)->Void`dOpenMathDevice``903977
oOMgetAtp`1`x`(%)->Void`dOpenMathDevice``904054
oOMgetAttr`1`x`(%)->Void`dOpenMathDevice``904134
oOMgetBind`1`x`(%)->Void`dOpenMathDevice``904210
oOMgetBVar`1`x`(%)->Void`dOpenMathDevice``904283
oOMgetEndApp`1`x`(%)->Void`dOpenMathDevice``904369
oOMgetEndAtp`1`x`(%)->Void`dOpenMathDevice``904448
oOMgetEndAttr`1`x`(%)->Void`dOpenMathDevice``904530
oOMgetEndBind`1`x`(%)->Void`dOpenMathDevice``904608
oOMgetEndBVar`1`x`(%)->Void`dOpenMathDevice``904683
oOMgetEndError`1`x`(%)->Void`dOpenMathDevice``904771
oOMgetEndObject`1`x`(%)->Void`dOpenMathDevice``904846
oOMgetError`1`x`(%)->Void`dOpenMathDevice``904923
oOMgetFloat`1`x`(%)->DoubleFloat`dOpenMathDevice``904996
oOMgetInteger`1`x`(%)->Integer`dOpenMathDevice``905057
oOMgetObject`1`x`(%)->Void`dOpenMathDevice``905123
oOMgetString`1`x`(%)->String`dOpenMathDevice``905198
oOMgetSymbol`1`x`(%)->Record(cd:String,name:String)`dOpenMathDevice``905261
oOMgetType`1`x`(%)->Symbol`dOpenMathDevice``905324
oOMgetVariable`1`x`(%)->Symbol`dOpenMathDevice``905404
oOmicron`0`n`()->Symbol`pMathematicalSymbols``905471
oomicron`0`n`()->Symbol`pMathematicalSymbols``905544
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``905615
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``905687
oOMmakeConn`1`x`(SingleInteger)->%`dOpenMathConnection``905755
oOMopenFile`3`x`(String,String,OpenMathEncoding)->%`dOpenMathDevice``905780
oOMopenString`2`x`(String,OpenMathEncoding)->%`dOpenMathDevice``906028
oOMParseError?`1`x`(%)->Boolean`dOpenMathErrorKind``906156
oOMputApp`1`x`(%)->Void`dOpenMathDevice``906240
oOMputAtp`1`x`(%)->Void`dOpenMathDevice``906316
oOMputAttr`1`x`(%)->Void`dOpenMathDevice``906395
oOMputBind`1`x`(%)->Void`dOpenMathDevice``906470
oOMputBVar`1`x`(%)->Void`dOpenMathDevice``906542
oOMputEndApp`1`x`(%)->Void`dOpenMathDevice``906627
oOMputEndAtp`1`x`(%)->Void`dOpenMathDevice``906705
oOMputEndAttr`1`x`(%)->Void`dOpenMathDevice``906786
oOMputEndBind`1`x`(%)->Void`dOpenMathDevice``906863
oOMputEndBVar`1`x`(%)->Void`dOpenMathDevice``906937
oOMputEndError`1`x`(%)->Void`dOpenMathDevice``907024
oOMputEndObject`1`x`(%)->Void`dOpenMathDevice``907098
oOMputError`1`x`(%)->Void`dOpenMathDevice``907174
oOMputFloat`2`x`(%,DoubleFloat)->Void`dOpenMathDevice``907246
oOMputInteger`2`x`(%,Integer)->Void`dOpenMathDevice``907322
oOMputObject`1`x`(%)->Void`dOpenMathDevice``907402
oOMputString`2`x`(%,String)->Void`dOpenMathDevice``907476
oOMputSymbol`3`x`(%,String,String)->Void`dOpenMathDevice``907554
oOMputVariable`2`x`(%,Symbol)->Void`dOpenMathDevice``907663
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``907745
oOMReadError?`1`x`(%)->Boolean`dOpenMathErrorKind``907837
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``907917
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``908009
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``908100
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``908220
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``908302
oOMsetEncoding`2`x`(%,OpenMathEncoding)->Void`dOpenMathDevice``908482
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``908622
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``908730
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``908878
oOMUnknownCD?`1`x`(%)->Boolean`dOpenMathErrorKind``909045
oOMUnknownSymbol?`1`x`(%)->Boolean`dOpenMathErrorKind``909138
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(%)->String`cOpenMath``909232
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(%,Boolean)->String`cOpenMath``909341
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,%)->Void`cOpenMath``909570
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,%,Boolean)->Void`cOpenMath``909704
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oone?`1`n`(%)->Boolean`cJetBundleCategory``909937
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``910030
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(%)->Boolean`cMagmaWithUnit``910120
oone`1`x`(Boolean)->%`dGuessOption``910180
oone?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``910305
ooneDimensionalArray`1`x`(List(S))->%`dOneDimensionalArray(S)``910411
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->%`dOneDimensionalArray(S)``910498
ooneSkeleton`1`n`(%)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``910598
ooneSkeleton`1`n`(%)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``910636
oopen?`1`n`(%)->Boolean`dTubePlot(Curve)``910674
oopen`1`x`(Name)->%`cFileCategory(Name,S)``910749
oopen`2`n`(FileName,String)->%`dBasicFile``910813
oopen`2`n`(FileName,String)->%`dBasicKeyedAccessFile``910848
oopen`2`x`(Name,String)->%`cFileCategory(Name,S)``910896
ooperation`1`n`(%)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``911013
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``911099
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``911331
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``911501
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``911591
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``911764
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace2&(S,K)``911843
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace2&(S,R,K)``0
ooperator`1`n`(%)->BasicOperator`cKernelCategory(S)``911955
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``912024
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``912138
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace2(K)``912316
ooperator`1`x`(Symbol)->%`dBasicOperator``912428
ooperator`2`x`(Symbol,NonNegativeInteger)->%`dBasicOperator``912508
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``912585
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``912708
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace2&(S,K)``0
ooperators`1`x`(%)->List(BasicOperator)`cExpressionSpace2(K)``912831
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``912948
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(%)->%`cPoset(S)``913001
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(%,%)->Boolean`cAbelianMonoid``913109
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``913195
ooption?`2`x`(List(%),Symbol)->Boolean`dDrawOption``913384
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dDrawOption``913585
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dGuessOption``913728
ooptional?`1`n`(%)->Boolean`dPattern(R)``913795
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``913899
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``914073
ooptions`1`n`(%)->List(DrawOption)`dTwoDimensionalViewport``914211
ooptions`1`x`(%)->List(DrawOption)`dThreeDimensionalViewport``914439
ooptions`2`n`(%,List(DrawOption))->%`dTwoDimensionalViewport``914668
ooptions`2`x`(%,List(DrawOption))->%`dThreeDimensionalViewport``914963
ooptpair`1`n`(List(%))->Union(List(%),"failed")`dPattern(R)``915249
oopType`1`n`(%)->Symbol`dILogic``915365
oopType`1`n`(%)->Symbol`dLatticeJoinOfMeets``915551
oopType`1`n`(%)->Symbol`dLatticeMeetOfJoins``915737
oOr`2`n`(%,%)->%`dIndexedBits(mn)``915923
oor`2`n`(%,%)->%`dOutputForm``916014
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``916070
oor`2`x`(%,%)->%`cBitAggregate``916164
oor`2`x`(%,%)->%`dBoolean``916255
oOr`2`x`(%,%)->%`dSingleInteger``916349
oorbit`2`x`(%,List(S))->Set(List(S))`dPermutationGroup(S)``916460
oorbit`2`x`(%,Set(S))->Set(Set(S))`dPermutationGroup(S)``916668
oorbit`2`x`(%,S)->Set(S)`cPermutationCategory(S)``916774
oorbit`2`x`(%,S)->Set(S)`dPermutationGroup(S)``916963
oorbits`1`x`(%)->Set(Set(S))`dPermutationGroup(S)``917154
oord`1`x`(%)->Integer`dCharacter``917289
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``917430
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``917467
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``917504
oorder`1`n`(%)->Integer`cFiniteGroup``917619
oorder`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``917690
oorder`1`n`(%)->NonNegativeInteger`cFacetCategory``917727
oorder`1`n`(%)->NonNegativeInteger`cJetBundleCategory``917753
oorder`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``917847
oorder`1`n`(%)->NonNegativeInteger`dInnerTaylorSeries(Coef)``917946
oorder`1`n`(%)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``918102
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`x`(%)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``918183
oorder`1`x`(%)->Integer`cFloatingPointSystem``918339
oorder`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``918459
oorder`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``918665
oorder`1`x`(%)->NonNegativeInteger`cPAdicIntegerCategory(p)``918782
oorder`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``918878
oorder`1`x`(%)->NonNegativeInteger`dPermutation(S)``918943
oorder`1`x`(%)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``919030
oorder`1`x`(%)->PositiveInteger`cFiniteFieldCategory``919153
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``919289
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`x`(%,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``919376
oorder`2`x`(%,%)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`919497
oorder`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``919664
oorder`2`x`(%,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``919790
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``919945
oorder`3`x`(%,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``919992
oorderDim`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``920065
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oordinalAdd`2`n`(%,%)->%`dSmallOrdinal``920284
oordinalMul`2`n`(%,%)->%`dSmallOrdinal``920374
oordinalPower`2`n`(%,%)->%`dSmallOrdinal``920468
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->%`dOrientedFacet``920634
oorientedFacet`2`n`(Integer,OrientedFacet)->%`dOrientedFacet``920813
oorientedFacetIfCan`1`n`(List(%))->Union(%,"failed")`dOrientedFacet``920858
oorientedFacetSigned`1`n`(List(Integer))->%`dOrientedFacet``921139
oorientedFacetUnsigned`1`n`(List(Integer))->%`dOrientedFacet``921272
oorthogonalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``921358
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`921480
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`921565
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``921650
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``921815
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(%,%)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`921918
ooutlineRender`2`x`(%,String)->Void`dThreeDimensionalViewport``922064
ooutput`1`x`(OutputForm)->Void`pOutputPackage``922469
ooutput`1`x`(String)->Void`pOutputPackage``922615
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``922756
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``922932
ooutputAsFortran`1`n`(%)->Void`cFortranProgramCategory``923038
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``923124
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``923292
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``923366
ooutputAsMathML`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``923516
ooutputAsMathML`1`x`(OutputForm)->Void`pSpecialOutputPackage``923684
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``923818
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``923977
ooutputFixed`0`x`()->Void`dFloat``924099
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``924214
ooutputFloating`0`x`()->Void`dFloat``924347
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``924530
ooutputForm`1`n`(Integer)->%`dOutputForm``924685
ooutputForm`1`n`(String)->%`dOutputForm``924744
ooutputForm`1`n`(Symbol)->%`dOutputForm``924801
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``924858
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``925043
ooutputForm`4`n`(%,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``925165
ooutputGeneral`0`x`()->Void`dFloat``925749
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``925940
ooutputList`1`x`(List(Any))->Void`pOutputPackage``926056
ooutputSpacing`1`x`(NonNegativeInteger)->NonNegativeInteger`dFloat``926264
ooutputVRML`2`n`(%,TextFile)->Void`dXmlAttribute``926436
ooutputVRML`2`n`(%,TextFile)->Void`dXmlElement``926714
oover`2`n`(%,%)->%`dOutputForm``926990
ooverbar`1`n`(%)->%`dOutputForm``927085
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``927153
ooverlabel`2`n`(%,%)->%`dOutputForm``927380
ooverlap`2`n`(%,%)->Record(lm:%,mm:%,rm:%)`dFreeMonoid(S)``927475
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``927684
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleCategory``927827
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->%`cJetBundleCategory``927937
oP`1`n`(NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``928073
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleCategory``928304
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
opack!`1`x`(%)->%`dKeyedAccessFile(Entry)``928461
opack!`1`x`(%)->%`dLibrary``928547
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``928633
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``928722
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``928849
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``928926
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``929099
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(%)->%`dOutputBox``929262
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``929659
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``929885
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``930197
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``930509
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``930833
opadicFraction`1`x`(%)->%`dPartialFraction(R)``930978
opair?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``931243
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``931322
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``931505
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``931891
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``932022
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`932177
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`932367
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`932688
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``932824
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``933298
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``933898
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``934311
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``934519
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``934767
oparallel`2`n`(%,%)->DoubleFloat`cSPointCategory``935026
oparametersOf`1`n`(%)->List(Symbol)`dSymbolTable``935234
oparametric?`1`n`(%)->Boolean`dPlot``935323
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``935393
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``935438
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``935697
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``935741
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``936008
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``936335
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``936449
oparen`1`n`(%)->%`dOutputForm``936630
oparen`1`n`(List(%))->%`dOutputForm``936705
oparen`1`n`(S)->S`xExpressionSpace2&(S,K)``0
oparen`1`x`(%)->%`cExpressionSpace2(K)``936833
oparent`1`n`(%)->%`dSubSpace(n,R)``937056
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``937239
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``937374
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``937527
oparse`1`n`(String)->%`dInputForm``937680
oparseIL`1`n`(String)->%`dILogic``937762
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``937974
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``938225
oparse_integer`1`n`(String)->Integer`pScanningUtilities``938374
oparseLambda`1`n`(String)->%`dLambda(UT)``938453
oparseSki`1`n`(String)->%`dSKICombinators(UT)``939028
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dLambda(UT)``939072
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dSKICombinators(UT)``939229
oparseVar`1`n`(String)->%`cVarCat``939380
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`cVarCat``939428
opartial`0`n`()->Symbol`pMathematicalSymbols``939557
opartialDenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``939620
opartialFraction`1`x`(Fraction(R))->%`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`939862
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``940004
opartialFraction`2`x`(R,Factored(R))->%`dPartialFraction(R)``940157
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``940323
opartialNumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``940559
opartialQuotients`1`x`(%)->Stream(R)`dContinuedFraction(R)``940795
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``941042
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`941092
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`941306
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`941498
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`941712
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``941904
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``942009
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``942114
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``942458
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``942669
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``942886
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``943083
opartition`1`n`(List(Integer))->%`dPartition``943285
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``943373
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``943554
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``943627
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``943802
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`x`(%)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``944010
oparts`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`944095
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``944232
opastel`1`x`(Color)->%`dPalette``944385
opa_to_sup`1`n`(PrimitiveArray(K))->SparseUnivariatePolynomial(K)`pVectorPolynomialOperationsF(K)``944481
opa_to_sup`1`n`(PrimitiveArray(PrimeField(p)))->SparseUnivariatePolynomial(Integer)`pVectorPolynomialOperationsP(p)``944556
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``944631
opattern`1`x`(%)->Pattern(Base)`dRewriteRule(Base,R,F)``944706
opatternMatch`3`n`(A,Pattern(Float),PatternMatchResult(Float,A))->PatternMatchResult(Float,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(Integer),PatternMatchResult(Integer,A))->PatternMatchResult(Integer,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(S),PatternMatchResult(S,B))->PatternMatchResult(S,B)`pPatternMatchPushDown(S,A,B)``944809
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`945127
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``945332
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``945527
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``945713
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``945921
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`946104
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``946293
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xRealNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xIntegerNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(Symbol,Pattern(S),PatternMatchResult(S,Symbol))->PatternMatchResult(S,Symbol)`pPatternMatchSymbol(S)``946484
opatternMatch`3`x`(%,Pattern(S),PatternMatchResult(S,%))->PatternMatchResult(S,%)`cPatternMatchable(S)``946705
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``947014
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``947277
opatternMatchTimes`4`n`(List(P),List(Pattern(S)),PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``947656
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->%`dPattern(R)``947923
opdct`1`n`(%)->Integer`dPartition``948120
opencil`1`n`(%)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``948269
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``948337
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``948458
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``948624
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``948767
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``948895
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``949006
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``950254
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``950333
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(%,%)->%`cCombinatorialFunctionCategory``950500
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``950661
opermutationGroup`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``950810
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``950922
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``951034
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``951254
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``951522
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``951767
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``951956
operpendicular`2`n`(%,%)->%`cSPointCategory``952074
operspective`2`x`(%,String)->Void`dThreeDimensionalViewport``952283
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`952538
oPfaffian`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`952652
oPhi`0`n`()->Symbol`pMathematicalSymbols``952766
ophi`0`n`()->Symbol`pMathematicalSymbols``952831
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``952894
ophysicalLength`1`n`(%)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``953150
ophysicalLength`1`x`(%)->NonNegativeInteger`dFlexibleArray(S)``0
ophysicalLength!`2`n`(%,Integer)->%`dIndexedFlexibleArray(S,mn)``953253
ophysicalLength!`2`x`(%,Integer)->%`dFlexibleArray(S)``0
opi`0`n`()->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``953373
opi`0`n`()->F`pElementaryFunction(R,F)``953514
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
oPi`0`n`()->Symbol`pMathematicalSymbols``953571
opi`0`n`()->Symbol`pMathematicalSymbols``953648
opi`0`x`()->%`cTranscendentalFunctionCategory``953723
opi`0`x`()->%`dPiDomain``953781
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``953841
opile`1`n`(List(%))->%`dOutputForm``954077
opivot`2`n`(%,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``954277
opivots`1`n`(%)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``954409
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(%,PositiveInteger)->%`cNonAssociativeAlgebra(R)``954513
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``954674
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``955063
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``955527
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->%`dPlot``955621
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``955760
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot``955801
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``955842
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``955993
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``956154
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``956360
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``956445
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot3D``956575
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``956758
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``957023
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->%`dPlot``957098
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``957325
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``957548
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``957661
oplus`2`n`(%,%)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`957783
oplus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``957884
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``957951
oplus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``958147
oplusInfinity`0`x`()->%`dOrderedCompletion(R)``958254
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``958302
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``958353
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`958447
oPnan?`1`n`(%)->Boolean`cSPointCategory``958604
opoint?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``959100
opoint`1`x`(List(R))->%`cPointCategory(R)``959264
opoint`1`x`(Point(R))->%`cThreeSpaceCategory(R)``959377
opoint`1`x`(%)->Point(R)`cThreeSpaceCategory(R)``959497
opoint`2`x`(%,List(R))->%`cThreeSpaceCategory(R)``959677
opoint`2`x`(%,NonNegativeInteger)->%`cThreeSpaceCategory(R)``959936
opoint`2`x`(%,Point(R))->%`cThreeSpaceCategory(R)``960101
opoint`3`n`(%,Point(DoubleFloat),Palette)->Void`dGraphImage``960346
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``960704
opointColor`1`x`(Float)->%`dDrawOption``960952
opointColor`1`x`(Palette)->%`dDrawOption``961095
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``961266
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``961354
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``961464
opointData`1`n`(%)->List(Point(R))`dSubSpace(n,R)``961693
opointList`1`n`(%)->List(PT)`dSceneIFS(PT)``961813
opointList`1`x`(%)->List(S)`dPermutationGroup(S)``961882
opointLists`1`n`(%)->List(List(Point(DoubleFloat)))`dGraphImage``961942
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``962104
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot``962292
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``962462
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``962746
opoints`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``962807
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``963077
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``963167
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``963267
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``963306
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``963397
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``963510
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(%)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`963724
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``963839
opole?`1`n`(%)->Boolean`dInnerTaylorSeries(Coef)``964307
opole?`1`x`(%)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``964446
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``964521
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``964617
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``964679
opolygamma`2`x`(%,%)->%`cSpecialFunctionCategory``964776
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygon?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``964916
opolygon`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``965066
opolygon`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``965261
opolygon`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``965490
opolygon`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``965861
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``966039
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``966101
opolylog`2`x`(%,%)->%`cSpecialFunctionCategory``966183
opolylog_int`6`n`(F,Symbol,Kernel(F),NonNegativeInteger,List(Kernel(F)),F)->Union(Record(ratpart:F,coeff:F,prim:F),"failed")`pParametricIntegration(R,F)``966265
opolynomial?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``966331
opolynomial`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``966391
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``966460
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``966584
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``966708
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``966862
opolyPart`1`x`(%)->UP`dFullPartialFractionExpansion(F,UP)``967016
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``967083
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``967122
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``967532
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(%,R,E,%)->%`cFiniteAbelianMonoidRing(R,E)``967937
opop!`1`x`(%)->S`cStackAggregate(S)``968105
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``968317
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968385
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968448
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968511
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968574
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968637
oposition`1`x`(%)->NonNegativeInteger`cCachableSet``968700
oposition`2`n`(%,List(%))->Integer`dCubicalFacet``968779
oposition`2`n`(%,List(%))->Integer`dOrientedFacet``968886
oposition`2`n`(S,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,%)->Integer`cLinearAggregate(S)`has(%,finiteAggregate)`968993
oposition`2`x`(S,%)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`969182
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,%,Integer)->Integer`cStringAggregate``969341
oposition`3`x`(%,%,Integer)->Integer`cStringAggregate``969566
oposition`3`x`(S,%,Integer)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`969770
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(%)->Boolean`cIntervalCategory(R)``969961
opositive?`1`x`(%)->Boolean`cOrderedRing``970076
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``970154
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`970254
opositiveRemainder`2`x`(%,%)->%`cIntegerNumberSystem``970385
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970510
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970606
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970732
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970828
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``971663
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(%)->Boolean`cStreamAggregate(S)``971776
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``971975
opostfix`2`n`(%,%)->%`dOutputForm``972144
opow`0`n`()->PrimitiveArray(%)`dModMonic(R,Rep)``972220
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``972459
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`972608
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``972700
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``972943
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``973228
opower_matrix`3`n`(PA,NonNegativeInteger,PMD)->Record(matr:MMT,poly:PA)`cModularFactorizationOperations(PA,MMT,MD,PMD)``973334
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`973695
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``973776
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``974070
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``974176
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(%,%,%)->%`cIntegerNumberSystem``974264
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE,cache:List(Record(ker:Kernel(FE),ser:Union(%series:UPS,%problem:Record(func:String,prob:String))))))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``974349
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``974404
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``974559
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``974698
oPr`2`n`(PositiveInteger,List(PositiveInteger))->%`cJetBundleCategory``974757
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``974854
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``975062
oprecision`0`n`()->PositiveInteger`dMachineFloat``975270
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``975338
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``975402
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`975480
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``975565
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``975625
opredicates`1`n`(%)->List(Any)`dPattern(R)``975778
oprefix`2`n`(%,List(%))->%`dOutputForm``975920
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(%,%)->Boolean`cStringAggregate``976070
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``976245
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``976468
oprefixRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``976691
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``976909
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``977059
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``977274
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``977430
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``977570
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``977684
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``977798
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dRegularTriangularSet(R,E,V,P)``977906
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dSquareFreeRegularTriangularSet(R,E,V,P)``978008
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``978110
opresub`2`n`(%,%)->%`dOutputForm``978239
opresuper`2`n`(%,%)->%`dOutputForm``978324
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``978413
oprevious`1`x`(%)->%`cDoublyLinkedAggregate(S)``978503
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``978675
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``978759
oprime`1`n`(%)->%`dOutputForm``978875
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``978967
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(%)->Boolean`cUniqueFactorizationDomain``979361
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``979525
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``979606
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``980791
oprime`2`n`(%,NonNegativeInteger)->%`dOutputForm``980853
oprimeFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``980936
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(%)->%`cFieldOfPrimeCharacteristic``981087
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(%,NonNegativeInteger)->%`cFieldOfPrimeCharacteristic``981178
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``981276
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``981367
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F,NonNegativeInteger)->Union(Record(ratpart:F,coeff:F,prim:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``981634
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``981846
oprimitive?`1`x`(%)->Boolean`cFiniteFieldCategory``981995
oprimitiveElement`0`x`()->%`cFiniteFieldCategory``982239
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``982439
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``982725
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`983168
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``983512
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``983960
oprimitiveMonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`984330
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`984531
oprimitivePart`1`x`(%)->%`cFunctionFieldCategory(F,UP,UPUP)``984654
oprimitivePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`984777
oprimitivePart!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`984901
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`984974
oprimitivePart`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`985173
oprimitiveRowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`985340
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`985712
oprimPartElseUnitCanonical`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`985814
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``985962
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(%)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``985996
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(%))->Record(coef:List(%),generator:%)`cPrincipalIdealDomain``986076
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``986306
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``986344
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``986384
oprint`1`n`(%)->Void`dOutputForm``986423
oprint`1`x`(OutputForm)->Void`pPrintPackage``986472
oprintCode`1`n`(%)->Void`dFortranCode``986583
oprintHeader`0`n`()->Void`dTheSymbolTable``986651
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``986799
oprintHeader`2`n`(Symbol,%)->Void`dTheSymbolTable``986945
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``987091
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``987307
oprintStatement`1`n`(List(OutputForm))->%`dFortranCode``987427
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``987506
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``987557
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``987711
oprintTypes`1`n`(%)->Void`dSymbolTable``987832
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``987953
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``988127
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``988254
oprod`1`n`(%)->%`dOutputForm``988367
oprod`2`n`(%,%)->%`dOutputForm``988455
oprod`3`n`(%,%,%)->%`dOutputForm``988575
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``988736
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``988981
oproduct`2`n`(%,%)->%`dCubicalFacet``989173
oproduct`2`n`(%,%)->%`dFiniteCubicalComplex(VS)``989294
oproduct`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``989341
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``989816
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``989924
oproduct`2`n`(%,%)->List(ProductFacet)`dOrientedFacet``990080
oproduct`2`x`(%,%)->%`cGradedAlgebra(R,E)``990561
oproduct`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``991038
oproduct`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``991322
oproduct`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``991430
oproduct`3`n`(%,%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)``991586
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->%`dProductFacet``991674
oproductFacet`2`n`(Integer,ProductFacet)->%`dProductFacet``991711
oproject`2`n`(%,NonNegativeInteger)->%`dJetDifferentialEquation(JB,D)``991759
oprojection`1`n`(%)->Union(%,"failed")`dCell(TheField)``991911
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``991987
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``992049
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``992093
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``992387
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``992675
oprologue`1`n`(%)->List(String)`dTexFormat``993025
oprologue`1`n`(%)->OutputBox`dFormatter(F)``993105
oprolong`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``993183
oprolong`2`n`(%,NonNegativeInteger)->%`dJetVectorField(JB,D)``993319
oprolong`2`n`(%,NonNegativeInteger)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``993447
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``993576
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``993700
oproperties`1`x`(%)->AssociationList(Symbol,None)`dBasicOperator``993776
oproperty`2`x`(%,Symbol)->Union(None,"failed")`dBasicOperator``993877
oproposition`1`n`(String)->%`dILogic``994006
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(%,%)->Record(coef:R,quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`994038
opseudoDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``994237
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`994450
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``994644
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`994747
oPsi`0`n`()->Symbol`pMathematicalSymbols``994995
opsi`0`n`()->Symbol`pMathematicalSymbols``995060
opsolve`1`n`(Matrix(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``995123
opsolve`2`n`(Matrix(GR),List(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``995252
opsolve`2`n`(Matrix(GR),List(Symbol))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``995405
opsolve`2`n`(Matrix(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``995559
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``995707
opsolve`3`n`(Matrix(GR),List(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``995937
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996114
opsolve`3`n`(Matrix(GR),List(Symbol),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``996356
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996534
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996777
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996989
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``997248
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``997515
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``997617
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``997703
optree`1`x`(S)->%`dPendantTree(S)``997791
optree`2`x`(%,%)->%`dPendantTree(S)``997838
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``997880
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``998063
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``998133
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``998248
opuiseux`2`x`(Fraction(Integer),ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``998493
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``998549
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``998723
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`998971
opuiseux`5`n`((Fraction(Integer))->R,Symbol,R,UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``999217
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``999466
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``999606
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``999950
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1000081
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1000268
opurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1000408
opush!`2`x`(S,%)->S`cStackAggregate(S)``1000539
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1000804
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000852
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000999
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``1001149
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``1001235
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1001321
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1001465
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1001598
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1001644
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``1001799
oputGraph`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1002006
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1002445
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1002677
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1002837
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1002948
oqcoerce`1`x`(Integer)->%`dNonNegativeInteger``1003117
oqcoerce`1`x`(Integer)->%`dPositiveInteger``1003210
oqcolumnIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1003300
oqcolumnIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1003457
oqcolumnIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1003639
oqconvert`1`n`(Integer)->%`dU64Int``0
oqconvert`1`x`(Integer)->%`dSingleInteger``1003837
oqdiagonal?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1003931
oqdiagonal`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1004063
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(%,Dom)->Im`cEltableAggregate(Dom,Im)``1004208
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1004514
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1004642
oqelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``1004731
oqelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1004931
oqelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``1005109
oqequal?`5`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1005254
oqinterval`2`x`(R,R)->%`cIntervalCategory(R)``1005368
oqlog`1`x`(%)->%`dDoubleFloat``1005497
oqmultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1005589
oqmultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1005675
oqnew`1`n`(Integer)->%`dComplexDoubleFloatVector``1005772
oqnew`1`n`(Integer)->%`dDoubleFloatVector``1005849
oqnew`1`n`(NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1005926
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``1005992
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1006065
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1006141
oqnilpotent?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1006268
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1006408
oqregular?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1006626
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1006731
oqrowIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1006828
oqrowIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1006983
oqrowIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1007162
oqscaleBlock!`7`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1007313
oqsemizero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1007474
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1007633
oqsetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1007851
oqsetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1008020
oqsetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1008206
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1008354
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1008480
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1008596
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1008845
oqsqrt`1`x`(%)->%`dDoubleFloat``1009178
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1009266
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1009370
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1009514
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1009612
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009751
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009792
oquadraticForm`1`x`(SquareMatrix(n,K))->%`dQuadraticForm(n,K)``1009843
oquadraticNonResidue`0`n`()->%`dInnerPrimeField(p)``1009943
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``1010067
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1010153
oquartic2`2`n`(SparseUnivariatePolynomial(F),F)->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``1010192
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1010256
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1010315
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(%)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``1010519
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1010671
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1010846
oquasiRegular?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``1011024
oquasiRegular`1`n`(%)->%`dXPolynomialRing(R,E)``1011105
oquasiRegular?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``1011176
oquasiRegular`1`x`(%)->%`cXFreeAlgebra(vl,R)``1011257
oquatern`4`x`(R,R,R,R)->%`cQuaternionCategory(R)``1011328
oqueue`1`x`(List(S))->%`dQueue(S)``1011406
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1011571
oquo`2`n`(%,%)->%`dOutputForm``1011696
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`x`(%,%)->%`cEuclideanDomain``1011753
oquo`2`x`(%,%)->%`dNonNegativeInteger``1011865
oquoByVar`1`x`(%)->%`cUnivariateTaylorSeriesCategory(Coef)``1011962
oquote`0`x`()->%`dCharacter``1012229
oquote`1`n`(%)->%`dOutputForm``1012300
oquoted?`1`n`(%)->Boolean`dPattern(R)``1012370
oquotedOperators`1`x`(%)->List(Symbol)`dRewriteRule(Base,R,F)``1012461
oquotient`2`n`(%,List(List(Integer)))->%`dGroupPresentation``1012688
oquotient`2`n`(%,List(NonNegativeInteger))->%`dGroupPresentation``1012749
oquotient`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1012813
oquotient`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1012968
oquotient`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1013075
oquotientByP`1`x`(%)->%`cPAdicIntegerCategory(p)``1013184
oquppertriangular?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013259
oqzero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013411
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1013550
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013662
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1013825
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1013981
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1014094
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``1014263
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1014327
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1014398
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1014469
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1014489
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1014510
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1014530
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1014550
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1014571
oracahR`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1014591
oracahR`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1014665
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``1014739
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1014807
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1014961
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1015162
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1015343
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1015581
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1015736
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``1015910
oradical_solve`1`n`(SparseUnivariatePolynomial(F))->Union(List(F),"failed")`pRootUtilities(R,F)``1016218
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1016342
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1016539
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1016705
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1016901
oradical_solve`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(List(Expression(R)),"failed")`pRadicalSolvePackage(R)``1017079
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1017142
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1017314
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1017510
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1017703
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1017930
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1018015
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1018143
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1018305
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1018372
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1018442
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1018509
orandnum`0`x`()->Integer`pRandomNumberSource``1018612
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1018677
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xFramedModule&(S,R)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->%`cFinite``1018747
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1018809
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1018939
orandom`1`x`(%)->%`cIntegerNumberSystem``1019023
orandom`1`x`(%)->%`dInteger``1019094
orandom`1`x`(%)->%`dNonNegativeInteger``1019165
orandom`1`x`(%)->Permutation(S)`dPermutationGroup(S)``1019236
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1019375
orandom`2`x`(%,Integer)->Permutation(S)`dPermutationGroup(S)``1019552
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1019661
orandom_poly`2`n`(Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1019725
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1019808
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1019864
orange`1`x`(List(Segment(Float)))->%`dDrawOption``1019924
orange`1`x`(List(Segment(Fraction(Integer))))->%`dDrawOption``1020049
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1020174
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1020254
oranges`1`n`(%)->List(Segment(Float))`dGraphImage``1020373
oranges`1`x`(List(Segment(Float)))->%`dDrawOption``1020541
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1020673
oranges`2`n`(%,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1020880
orank`0`n`()->PositiveInteger`cFramedModule(R)``1021135
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1021187
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1021241
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1021314
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1021376
orank`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1021439
orank`1`n`(%)->NonNegativeInteger`dVectorSpaceBasis(R)``1021584
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1021691
orank`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`1021754
orank`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`1021817
orank`1`x`(%)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1021880
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1022023
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1022140
orarrow`2`n`(%,%)->%`dOutputForm``1022257
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1022332
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1022470
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1022588
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1022729
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1022862
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1023186
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1023442
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1023766
oratexpr`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1024022
oratexprInverse`2`n`(%,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1024150
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational?`1`x`(%)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1024354
orational?`1`x`(%)->Boolean`cIntegerNumberSystem``1024421
orational?`1`x`(%)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1024522
orational?`1`x`(%)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1024638
orational?`1`x`(%)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1024834
orational?`1`x`(%)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1024944
orational?`1`x`(%)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1025018
orational`1`x`(%)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1025092
orational`1`x`(%)->Fraction(Integer)`cIntegerNumberSystem``1025202
orational`1`x`(%)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1025289
orational`1`x`(%)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1025409
orational`1`x`(%)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1025620
orational`1`x`(%)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1025771
orational`1`x`(%)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1025888
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1026003
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``1026110
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1026219
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dFloat``1026356
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1026493
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1026673
orationalFunction`2`x`(%,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1026851
orationalFunction`3`x`(%,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1026995
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``1027162
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1027281
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1027403
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1027508
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1027623
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1027848
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1027958
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1028070
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1028183
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1028285
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1028368
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1028451
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1028534
orationalPower`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1028617
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``1028715
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1028844
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``1028973
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1029195
oratpart`1`n`(%)->F`dIntegrationResult(F)``1029433
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1029510
oravel`1`x`(%)->List(R)`dCartesianTensor(minix,dim,R)``1029638
orc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``1029759
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1029798
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1030069
ordivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1030118
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``1030382
oread`1`n`(%)->None`dBasicFile``1030455
oread!`1`x`(%)->S`cFileCategory(Name,S)``1030517
oread`2`n`(%,String)->None`dBasicKeyedAccessFile``1030681
oreadable?`1`x`(%)->Boolean`cFileNameCategory``1030760
oreadIfCan`1`n`(%)->Union(None,"failed")`dBasicFile``1030851
oreadIfCan!`1`x`(%)->Union(S,"failed")`dFile(S)``1030938
oreadIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1031133
oreadLine!`1`x`(%)->String`dTextFile``1031346
oreadLineIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1031440
oreal?`1`n`(%)->Boolean`dFortranScalarType``1031657
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1031743
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1031808
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1031873
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1031967
oreal`1`x`(%)->R`cComplexCategory(R)``1032061
oreal`1`x`(%)->R`cOctonionCategory(R)``1032114
oreal`1`x`(%)->R`cQuaternionCategory(R)``1032177
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1032246
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1032462
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1032748
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1032904
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1033099
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1033372
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1033662
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1033781
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1034101
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1034197
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1034465
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1034571
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1034781
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1034898
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1035789
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1035920
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1036051
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1036212
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1036373
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1036569
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1036765
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1036994
orecip`0`n`()->%`dMoebiusTransform(F)``1037223
orecip`1`n`(%)->%`dMoebiusTransform(F)``1037330
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``1037374
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1037477
orecip`1`n`(%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1037514
orecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1037551
orecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1037784
orecip`1`x`(%)->Union(%,"failed")`dCliffordAlgebra(n,K,bLin)``1037986
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``1038100
orecip`2`x`(ThePols,%)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1038251
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1038341
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1038512
oreconstruct`2`n`(%,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1038610
oreconstruct`5`n`(%,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1038725
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1038866
orectangularMatrix`1`n`(Matrix(R))->%`dRectangularMatrix(m,n,R)``1039025
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1039150
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1039273
ored`0`x`()->%`dColor``1039349
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1039422
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1039562
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1039596
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1039631
ored_pol!`2`n`(PA,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1039824
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``1039966
oreduce`1`n`(%)->%`dJetBundleExpression(JB)``1040083
oreduce`1`n`(%)->%`dJetBundleXExpression(JB)``1040139
oreduce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1040199
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->%`dModMonic(R,Rep)``1040286
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1040351
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`x`(%)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``1040501
oreduce`1`x`(%)->%`dAlgebraicNumber``1040631
oreduce`1`x`(%)->%`dExpression(R)`has(R,IntegralDomain)`1040760
oreduce`1`x`(Fraction(UP))->Union(%,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1040892
oreduce`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``1040976
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`(R,List(R))->Record(poly:R,repr:Vector(R),mult:C)`pExtendedPolynomialReduction(C,E,R)``1041129
oreduce`2`n`(R,Mod)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1041305
oreduce`2`n`(R,Mod)->%`dModularField(R,Mod,reduction,merge,exactQuo)``1041348
oreduce`2`n`(R,Mod)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``1041391
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`x`((S,S)->S,%)->S`cCollection(S)`has(%,finiteAggregate)`1041434
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``1041764
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1041933
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1042326
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1042680
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1043028
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1043197
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1043430
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1043788
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1043936
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1044278
oreduce`3`x`((S,S)->S,%,S)->S`cCollection(S)`has(%,finiteAggregate)`1044612
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`x`(P,%,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1045012
oreduce`4`x`((S,S)->S,%,S,S)->S`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1045566
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1045955
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``1046090
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1046255
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1046370
oreduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``1046464
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,%,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1046583
oreducedContinuedFraction`2`x`(R,Stream(R))->%`dContinuedFraction(R)``1046814
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1047143
oreducedForm`1`x`(%)->%`dContinuedFraction(R)``1047195
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1047445
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(%))->Matrix(R)`cLinearlyExplicitOver(R)``1047615
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1047753
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(%),Vector(%))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1047913
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1048078
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1048274
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1048633
oreduceMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1048890
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``1048990
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``1049196
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1049499
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1049663
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1049774
oreductum`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`1049861
oreductum`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``1050028
oreductum`1`n`(%)->%`dAntiSymm(R,lVar)``1050139
oreductum`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``1050324
oreductum`1`n`(%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1050505
oreductum`1`n`(%)->%`dLaurentPolynomial(R,UP)``1050545
oreductum`1`n`(%)->%`dXPolynomialRing(R,E)``1050585
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``1050694
oredux`1`n`(%)->%`dILogic``1050826
oredux`1`n`(%)->%`dLambda(UT)``1050980
oredux`1`n`(%)->%`dLatticeJoinOfMeets``1051051
oredux`1`n`(%)->%`dLatticeMeetOfJoins``1051084
oredux`1`n`(%)->%`dSKICombinators(UT)``1051117
oref`1`n`(S)->%`dReference(S)``1051229
orefactor`1`n`(%)->%`dGroupPresentation``1051304
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``1051526
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``1051622
orefine!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1051722
orefine`1`n`(%)->%`dPlot3D``1051793
orefine`1`n`(%)->%`dPlot``1051831
orefine`1`x`(%)->%`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1051898
orefine!`2`n`(%,Boolean)->%`dFreeDivisionAlgebra(VAR,F)``1051979
orefine`2`n`(%,DoubleFloat)->%`dPlaneAlgebraicCurvePlot``1052166
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1052211
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``1052610
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot``1052653
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1052696
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1052879
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``1053062
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``1053360
orefined?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1053658
orefinementEquations`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1053726
orefinementGroebner`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1053846
orefinementSolve`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1054141
orefinementTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1054393
orefineUR!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1054500
orefineUR!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1054628
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``1054756
oregion`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1055595
oregular?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1055877
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1055934
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(%)->Matrix(R)`cFramedAlgebra(R,UP)``1056051
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1056289
oreindex`1`n`(%)->%`dOrientedFacet``1056561
oreindex`2`x`(%,List(Integer))->%`dCartesianTensor(minix,dim,R)``1056630
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1056916
orelationsInGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1057028
orelationsInStrongGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1057107
orelativeApprox`2`x`(%,%)->Fraction(Integer)`dRealClosure(TheField)``1057199
orelativeApprox`3`x`(ThePolDom,%,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1057307
orelativeApprox`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1057435
orelerror`2`x`(%,%)->%`dFloat``1057565
orem`2`n`(%,%)->%`dOutputForm``1057668
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`x`(%,%)->%`cEuclideanDomain``1057725
orem`2`x`(%,%)->%`dNonNegativeInteger``1057838
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,%)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1057908
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1058202
oRemainderList`1`n`(%)->List(Record(k:Symbol,c:%))`dXPolynomial(R)``0
oRemainderList`1`n`(%)->List(Record(k:VarSet,c:%))`dXRecursivePolynomial(VarSet,R)``1058230
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1058318
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1058550
oremove`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1058616
oremove!`2`n`(%,String)->Void`dBasicKeyedAccessFile``1058808
oremove!`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1058892
oremove`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1059084
oremove!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1059266
oremove!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1059409
oremove`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1059533
oremove`2`x`(S,%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1059726
oremove!`2`x`(S,%)->%`cDictionaryOperations(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1059882
oremove!`2`x`(S,%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1060011
oremove`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1060098
oremove!`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1060384
oremove`3`x`(S,%,Integer)->%`dMultiset(S)``1060685
oremove!`3`x`(S,%,Integer)->%`dMultiset(S)``1060923
oremoveChild!`2`n`(%,%)->Void`dScene(PT)``1061176
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1061277
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061389
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061570
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1061747
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1061964
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates`1`x`(%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1062306
oremoveDuplicates!`1`x`(%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1062396
oremoveDuplicates!`1`x`(%)->%`cMultiDictionary(S)``1062479
oremoveHandler!`3`n`(%,Integer,String)->Void`dOperatorHandlers(HANDLER)``1062581
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1062780
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1063073
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1063743
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1064033
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1064324
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1064429
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1064646
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1064995
oremoveRepeats!`1`n`(%)->%`dIndexedFlexibleArray(S,mn)``1065316
oremoveRepeats!`1`x`(%)->%`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1065438
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1065783
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1065937
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1066227
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``1066507
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1066682
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1066838
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1067019
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067196
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1067357
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1067461
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1067565
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1067744
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1067923
oremoveZeroes`1`n`(%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRationalConstructor(p,PADIC)``1068176
oremoveZeroes`1`n`(%)->%`dPAdicRational(p)``0
oremoveZeroes`1`x`(%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1068730
oremoveZeroes`2`n`(Integer,%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRationalConstructor(p,PADIC)``1069259
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRational(p)``0
oremoveZeroes`2`x`(Integer,%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1069374
oremoveZeros`2`n`(%,Expon)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1069831
orename!`2`x`(%,OutputForm)->%`cRealClosedField``1069940
orename`2`x`(%,OutputForm)->%`cRealClosedField``1070009
oreopen!`2`x`(%,String)->%`cFileCategory(Name,S)``1070080
oreorder`2`n`(%,List(Integer))->%`dDistributedMultivariatePolynomial(vl,R)``1070273
oreorder`2`n`(%,List(Integer))->%`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1070417
oreorder`2`n`(%,List(Integer))->%`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1070561
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1070705
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1070863
orepeatedIndex`1`n`(%)->List(PositiveInteger)`cJetBundleCategory``1071145
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeating`1`x`(List(S))->%`dStream(S)``1071259
orepeating?`2`x`(List(S),%)->Boolean`dStream(S)`has(S,SetCategory)`1071343
orepeatUntilLoop`2`n`(Switch,%)->%`dFortranCode``1071481
oreplace`3`x`(%,UniversalSegment(Integer),%)->%`cStringAggregate``1071563
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(%,PositiveInteger,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``1071671
orepresentation`1`n`(%)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1071872
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1071985
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(R))->%`cFramedModule(R)``1072142
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(F),Vector(S))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankAlgebra(R,UP)``1072296
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankNonAssociativeAlgebra(R)``1072395
orepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``1072519
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1072623
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1072756
oreset`1`n`(%)->Void`dTwoDimensionalViewport``1072830
oreset`1`x`(%)->Void`dThreeDimensionalViewport``1073046
oresetBadValues`1`n`(%)->%`dPattern(R)``1073266
oresetNew`0`x`()->Void`dSymbol``1073426
oresetNewGreek`0`n`()->Void`pMathematicalSymbols``1073553
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1073673
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1073797
oresize`3`n`(%,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1073920
oresize`3`x`(%,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1074171
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(%)->%`dFreeMagma(VarSet)``1074426
orest`1`n`(%)->%`dFreeMonoid(S)``1074563
orest`1`n`(%)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``1074627
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1074704
orest`1`x`(%)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``1074844
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``1075008
oresult`1`n`(%)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1075107
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1075312
oresultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1075391
oresultant`2`x`(%,%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1075605
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1075701
oresultant`3`x`(%,%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1075803
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1075942
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1076053
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1076147
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->%`cFortranFunctionCategory``1076306
oretract`1`n`(Expression(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1076430
oretract`1`n`(Expression(Integer))->%`cFortranFunctionCategory``1076759
oretract`1`n`(Expression(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1076883
oretract`1`n`(Expression(R))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1077212
oretract`1`n`(Fraction(Polynomial(Float)))->%`cFortranFunctionCategory``1077541
oretract`1`n`(Fraction(Polynomial(Float)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1077665
oretract`1`n`(Fraction(Polynomial(Integer)))->%`cFortranFunctionCategory``1077994
oretract`1`n`(Fraction(Polynomial(Integer)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1078118
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1078447
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleXExpression(JB)``1078574
oretract`1`n`(%)->List(D)`dJetDifferentialEquation(JB,D)``1078701
oretract`1`n`(Matrix(Expression(Float)))->%`cFortranMatrixFunctionCategory``1078792
oretract`1`n`(Matrix(Expression(Integer)))->%`cFortranMatrixFunctionCategory``1078916
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->%`cFortranMatrixFunctionCategory``1079040
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->%`cFortranMatrixFunctionCategory``1079164
oretract`1`n`(Matrix(Polynomial(Float)))->%`cFortranMatrixFunctionCategory``1079288
oretract`1`n`(Matrix(Polynomial(Integer)))->%`cFortranMatrixFunctionCategory``1079412
oretract`1`n`(Polynomial(Float))->%`cFortranFunctionCategory``1079536
oretract`1`n`(Polynomial(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1079660
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->%`cFortranFunctionCategory``1079989
oretract`1`n`(Polynomial(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1080113
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``0
oretract`1`n`(S)->%`cRetractableFrom(S)``1080442
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->K`xExpressionSpace2&(S,K)``0
oretract`1`n`(S)->K`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Symbol)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1080565
oretract`1`n`(Vector(Expression(Float)))->%`cFortranVectorFunctionCategory``1080826
oretract`1`n`(Vector(Expression(Integer)))->%`cFortranVectorFunctionCategory``1080950
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->%`cFortranVectorFunctionCategory``1081074
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->%`cFortranVectorFunctionCategory``1081198
oretract`1`n`(Vector(Polynomial(Float)))->%`cFortranVectorFunctionCategory``1081322
oretract`1`n`(Vector(Polynomial(Integer)))->%`cFortranVectorFunctionCategory``1081446
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1081570
oretract`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1081734
oretract`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1081901
oretract`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1082068
oretract`1`x`(%)->S`cRetractableTo(S)``1082235
oretractable?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``1082370
oretractable?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1082476
oretractable?`1`n`(%)->Boolean`dFreeMagma(VarSet)``1082603
oretractable?`1`n`(%)->Boolean`dLyndonWord(VarSet)``1082682
oretractable?`1`n`(%)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1082761
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1082857
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`cFortranFunctionCategory``1082955
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1083084
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`cFortranFunctionCategory``1083426
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1083555
oretractIfCan`1`n`(Expression(R))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1083897
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1084239
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`cFortranFunctionCategory``1084283
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1084412
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`cFortranFunctionCategory``1084754
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1084883
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1085225
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleXExpression(JB)``1085313
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085435
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085564
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085693
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085822
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085951
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1086080
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`cFortranFunctionCategory``1086209
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1086338
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`cFortranFunctionCategory``1086680
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1086809
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(%,"failed")`cRetractableFrom(S)``1087151
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Symbol)->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1087289
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1087563
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1087692
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranVectorFunctionCategory``1087821
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranVectorFunctionCategory``1087950
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1088079
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1088208
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1088337
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1088503
oretractIfCan`1`x`(Polynomial(Integer))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1088630
oretractIfCan`1`x`(Polynomial(R))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1088757
oretractIfCan`1`x`(%)->Union(S,"failed")`cRetractableTo(S)``1088884
oretract_Q`1`n`(F)->Union(Fraction(Integer),"failed")`pFunctionalSpecialFunction(R,F)``1089034
oreturns`0`n`()->%`dFortranCode``1089093
oreturns`1`n`(Expression(Complex(Float)))->%`dFortranCode``1089173
oreturns`1`n`(Expression(Float))->%`dFortranCode``1089276
oreturns`1`n`(Expression(Integer))->%`dFortranCode``1089379
oreturns`1`n`(Expression(MachineComplex))->%`dFortranCode``1089482
oreturns`1`n`(Expression(MachineFloat))->%`dFortranCode``1089585
oreturns`1`n`(Expression(MachineInteger))->%`dFortranCode``1089688
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1089791
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1089915
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),%)->Void`dTheSymbolTable``1090042
oreturnTypeOf`2`n`(Symbol,%)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1090169
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(%)->%`dListMonoidOps(S,E,un)``1090258
oreverse`1`n`(%)->%`dListMonoidOps(S,E,un)``1090368
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1090587
oreverse!`1`x`(%)->%`cDequeueAggregate(S)``1090656
oreverse!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1090829
oreverse`1`x`(%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1090908
oreverse`1`x`(%)->%`cSegmentCategory(S)`has(S,OrderedRing)`1090992
oreverse`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1091060
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1091166
orevert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``1091363
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1091558
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1091745
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1092039
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1092420
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1092692
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),%,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1093255
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`1094073
oRho`0`n`()->Symbol`pMathematicalSymbols``1094135
orho`0`n`()->Symbol`pMathematicalSymbols``1094200
orhs`1`n`(%)->S2`dSuchThat(S1,S2)``1094263
orhs`1`x`(%)->F`dRewriteRule(Base,R,F)``1094319
orhs`1`x`(%)->S`dEquation(S)``1094390
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1094465
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1094579
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1094693
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1094914
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1095081
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1095302
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1095469
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1095743
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1096017
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1096072
oriemannZeta`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``1096131
oriemannZeta`1`x`(%)->%`cSpecialFunctionCategory``1096190
oright`1`n`(%)->%`dFreeMagma(VarSet)``1096249
oright`1`n`(%)->%`dLyndonWord(VarSet)``1096381
oright`1`n`(%)->%`dOutputForm``1096514
oright`1`x`(%)->%`cBinaryRecursiveAggregate(S)``1096583
oright`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1096631
oright`2`n`(%,Integer)->%`dOutputForm``1096706
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1096796
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1097023
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1097250
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1097410
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1097783
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``1098156
orightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1098472
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1098682
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1098939
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1099050
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(%,%)->Record(generator:%,coef1:%,coef2:%,coefu:%,coefv:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1099173
orightFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1099412
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1099567
orightFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1099857
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1099920
orightIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1100161
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1100227
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1100429
orightMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1100665
orightMult`2`n`(%,S)->%`dListMonoidOps(S,E,un)``1100845
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1100974
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`1101074
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`1101133
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``1101192
orightPower`2`x`(%,PositiveInteger)->%`cMagma``1101391
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1101590
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1101785
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1101952
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1102050
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1102291
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orightRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1102532
orightRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1102754
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1102945
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1103119
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1103425
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1103621
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1103818
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1103913
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1104203
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1104493
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(%,CharacterClass)->%`cStringAggregate``1104709
orightTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1104907
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1105093
orightUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1105220
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1105345
orightZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`1105471
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1105530
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1105811
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1105892
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1106196
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(%,%)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``1106425
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1106649
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1107297
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1107577
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1107927
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1108434
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1108956
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1109436
oroman`1`x`(Integer)->%`dRomanNumeral``1109546
oroman`1`x`(Symbol)->%`dRomanNumeral``1109607
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1109675
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1110361
oroot?`1`n`(%)->Boolean`dSubSpace(n,R)``1111051
oroot`1`n`(%)->%`dOutputForm``1111088
oroot`2`n`(%,%)->%`dOutputForm``1111163
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->%`cPAdicIntegerCategory(p)``1111247
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1111378
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1111475
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1111712
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1111785
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1111992
orootOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1112116
orootOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1112240
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1112308
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(%),PositiveInteger)->Union(%,"failed")`cRealClosedField``1112424
orootOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1112536
orootOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1112652
orootOf`2`x`(ThePols,PositiveInteger)->Union(%,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1112768
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(%),PositiveInteger,OutputForm)->Union(%,"failed")`cRealClosedField``1112859
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1112979
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1113229
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1113402
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1113558
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1113787
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1114002
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1114128
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1114355
orootsOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1114646
orootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1114932
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1115162
orootsOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1115410
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1115658
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1115885
orootSum`3`x`(%,SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``0
orotate!`1`x`(%)->%`cQueueAggregate(S)``1115923
orotate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1116119
orotate`3`x`(%,Integer,Integer)->Void`dThreeDimensionalViewport``1116362
orotatex`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1116724
orotatey`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1116822
orotatez`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1116920
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1117018
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1117176
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1117292
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1117484
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1117694
oround`1`n`(Record(mantissa:Integer,exponent:Integer))->Integer`pFloatElementaryFunctions``1117826
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(%)->%`cRealNumberSystem``1117886
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrows`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1117950
orouteArrowWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1118157
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodes`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1118264
orouteNodeWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1118469
orow`2`n`(%,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1118575
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(%,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1118660
orow`2`x`(%,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1118786
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1118905
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1119012
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1119093
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1119226
orowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1119307
orowEchelon`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1119609
orowEchelon`1`x`(%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1119690
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1119771
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1119852
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1120145
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1120367
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1120557
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1120725
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1120833
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1120901
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1120972
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1121065
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1121158
orowSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1121306
orquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``1121461
orquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``1121546
orquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``1121741
orquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``1121832
orquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``1121917
orquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1122015
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1122100
orsimp1`2`n`(Expression(Integer),Integer)->Union(Expression(Integer),"failed")`pRootSimplification``1122197
orsimp`1`n`(Expression(Integer))->Union(Expression(Integer),"failed")`pRootSimplification``1122403
orspace`2`n`(Integer,Integer)->%`dOutputForm``1122544
orst`1`x`(%)->%`cLazyStreamAggregate(S)``1122640
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1122833
orule`2`x`(F,F)->%`dRewriteRule(Base,R,F)``1125276
orule`3`x`(F,F,List(Symbol))->%`dRewriteRule(Base,R,F)``1125421
orules`1`x`(%)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1125817
oruleset`1`x`(List(RewriteRule(Base,R,F)))->%`dRuleset(Base,R,F)``1125881
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1125969
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1126034
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1127148
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1127622
oS`0`n`()->%`dSKICombinators(UT)``1127779
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1127819
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1127954
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1128105
osafety`1`x`(NonNegativeInteger)->%`dGuessOption``1128172
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1128326
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1128481
osameFace?`2`n`(%,%)->Boolean`dCubicalFacet``1128680
osameFace?`2`n`(%,%)->Boolean`dOrientedFacet``1128767
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->%`cAbelianMonoid``1128853
osample`0`x`()->%`cAggregate``1128900
osample`0`x`()->%`cMagmaWithUnit``1128947
osample`0`x`()->%`dCartesianTensor(minix,dim,R)``1128994
osample`0`x`()->%`dSymbol``1129047
osamplePoint`1`n`(%)->List(TheField)`dCell(TheField)``1129093
osamplePoint`1`n`(%)->TheField`dSimpleCell(TheField,ThePols)``1129159
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1129225
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1129337
osatisfy?`2`n`(%,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1129482
osaturate`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1129716
osaturate`3`x`(%,DPoly,List(VarSet))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1129864
osave`0`n`()->%`dFortranCode``1130033
osay`1`x`(List(String))->Void`pDisplayPackage``1130100
osay`1`x`(String)->Void`pDisplayPackage``1130165
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1130221
osayLength`1`x`(String)->Integer`pDisplayPackage``1130312
oscalar?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1130394
oscalar?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1130439
oscalarMatrix`1`x`(R)->%`cSquareMatrixCategory(ndim,R,Row,Col)``1130508
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->%`cMatrixCategory(R,Row,Col)``1130638
oscalarTypeOf`1`n`(%)->Union(fst:FortranScalarType,void:"void")`dFortranType``1130773
oscale`1`n`(F)->%`dMoebiusTransform(F)``1130845
oscale`2`n`(%,F)->%`dMoebiusTransform(F)``1130953
oscale`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1131054
oscale`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1131173
oscaleALS`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``1131493
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1131601
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1131705
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1131937
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1132354
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1132685
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1133010
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1133242
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1133437
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1133760
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``1134084
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``1134169
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``1134363
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1134491
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``1135177
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1135259
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1135368
oscreenCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``1135628
oscreenCoordX`1`n`(%)->DoubleFloat`cSPointCategory``1135697
oscreenCoordY`1`n`(%)->DoubleFloat`cSPointCategory``1135785
oscreenCoordZ`1`n`(%)->DoubleFloat`cSPointCategory``1135873
oscreenResolution`0`n`()->Integer`dPlot``1135963
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1136026
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1136099
oscreenResolution3D`0`n`()->Integer`dPlot3D``1136173
oscript`2`x`(%,List(List(OutputForm)))->%`dSymbol``1136254
oscript`2`x`(%,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->%`dSymbol``1136610
oscripted?`1`x`(%)->Boolean`dSymbol``1136811
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1136893
oscripts`1`x`(%)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1137269
oscripts`2`n`(%,List(%))->%`dOutputForm``1137331
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1137553
osearch`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1137612
osec`1`n`(F)->F`pElementaryFunction(R,F)``1137820
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1137881
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1137948
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1138015
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1138083
osec`1`x`(%)->%`cTrigonometricFunctionCategory``1138153
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1138206
osech`1`n`(F)->F`pElementaryFunction(R,F)``1138304
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1138377
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1138460
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1138543
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1138623
osech`1`x`(%)->%`cHyperbolicFunctionCategory``1138705
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1138770
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1138872
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1138961
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(%)->B`dProduct(A,B)``1139048
osecond`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1139112
oseed`0`x`()->Integer`pRandomNumberSource``1139217
oseedRandom`0`x`()->Void`dInteger``1139270
oSEGMENT`1`n`(%)->%`dOutputForm``1139525
oSEGMENT`1`x`(S)->%`dUniversalSegment(S)``1139587
osegment`1`x`(S)->%`dUniversalSegment(S)``1139673
osegment`1`x`(%)->Segment(S)`dSegmentBinding(S)``1139755
oSEGMENT`2`n`(%,%)->%`dOutputForm``1139959
oSEGMENT`2`x`(S,S)->%`cSegmentCategory(S)``1140026
osegment`2`x`(S,S)->%`cSegmentCategory(S)``1140108
oselect`2`n`(%,NonNegativeInteger)->S`dTuple(S)``1140193
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1140292
oselect!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1140465
oselect!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1140612
oselect`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1140728
oselect`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``1140907
oselect`2`x`(%,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1140974
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1141082
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1141331
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1141578
osemicolonSeparate`1`n`(List(%))->%`dOutputForm``1141783
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1141886
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1142097
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1142248
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1142457
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1142655
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1142770
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1142925
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1143086
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1143302
osendGraphImage`1`n`(%)->Void`dGraphImage``1143558
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``1143841
oseparate`1`n`(Fraction(UP))->Record(polyPart:%,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1143966
oseparate`1`n`(%)->List(%)`dSubSpace(n,R)``1144006
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(%,%)->Record(primePart:%,commonPart:%)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1144172
oseparate_factors`2`n`(List(()->List(PrimitiveArray(PrimeField(p)))),Integer)->List(UP)`pGaloisGroupFactorizerSeparate(p,UP)``0
osequence`1`n`(Stream(R))->%`cSequenceCategory(R)``1144341
osequence`2`n`((R)->R,R)->%`cSequenceCategory(R)``1144409
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1144563
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1144779
oserialize`1`n`(None)->None`pFileSerialization``1145151
oseries`1`n`(Stream(Coef))->%`dInnerTaylorSeries(Coef)``1145237
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``1145667
oseries`1`n`(Stream(SMP))->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1145866
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1145939
oseries`1`x`(Stream(Coef))->%`cUnivariateTaylorSeriesCategory(Coef)``1146120
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->%`cUnivariateLaurentSeriesCategory(Coef)``1146220
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->%`cUnivariateTaylorSeriesCategory(Coef)``1146419
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1146618
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1146679
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1146766
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1146872
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->%`cUnivariatePuiseuxSeriesCategory(Coef)``1147115
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1147428
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1147514
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1147711
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1147876
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1148067
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1148313
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1148557
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1148806
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1148917
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1149343
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1149464
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1149583
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1149732
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150157
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1150376
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150615
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1150822
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->%`cSetAggregate(S)``1150930
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->%`cSetAggregate(S)``1151009
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1151131
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1151244
osetchildren!`2`n`(A,List(A))->A`xBinaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(%,List(%))->%`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1151363
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1151498
osetClosed`2`n`(%,Boolean)->Boolean`dTubePlot(Curve)``1151621
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(%,Integer,Col)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1151796
osetCondition!`2`n`(%,C)->%`dSplittingNode(V,C)``1151884
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1152032
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1152189
osetDifference`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1152404
osetelt!`2`n`(%,S)->S`dReference(S)``1152578
osetelt!`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(%,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1152662
osetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1152757
osetelt!`3`x`(%,"first",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1152947
osetelt!`3`x`(%,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1153067
osetelt!`3`x`(%,"last",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1153186
osetelt!`3`x`(%,"left",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1153303
osetelt!`3`x`(%,"rest",%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1153419
osetelt!`3`x`(%,"right",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1153536
osetelt!`3`x`(%,Symbol,Any)->Any`dLibrary``1153655
osetelt!`3`x`(%,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(%,shallowlyMutable)`1153782
osetelt!`3`x`(%,"value",S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1154076
osetelt!`4`n`(%,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1154194
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1154349
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1154517
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1154707
osetelt!`4`x`(%,Integer,List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1154889
osetelt!`4`x`(%,Integer,List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155015
osetelt!`4`x`(%,List(Integer),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155230
osetelt!`4`x`(%,List(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155356
osetelt!`4`x`(%,List(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155703
osetelt!`4`x`(%,List(Segment(Integer)),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155845
osetelt!`4`x`(%,List(Segment(Integer)),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156060
osetelt!`4`x`(%,List(Segment(Integer)),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156267
osetelt!`4`x`(%,Segment(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156473
osetelt!`4`x`(%,Segment(Integer),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156615
osetelt!`4`x`(%,Segment(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156821
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1156971
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1157118
osetEmpty!`1`n`(%)->%`dSplittingNode(V,C)``1157291
osetEpilogue!`2`n`(%,List(String))->List(String)`dTexFormat``1157359
osetEpilogue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1157461
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1157587
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1157883
osetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1158074
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1158199
osetFormat!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1158258
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1158370
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1158481
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1158749
osetHandler!`4`n`(%,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1158931
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1159067
osetIntersection`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1159218
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1159400
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1159484
osetleaves!`2`x`(%,List(S))->%`dBalancedBinaryTree(S)``1159607
osetleft!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1159722
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1159801
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1159887
osetMinPoints`1`n`(Integer)->Integer`dPlot``1159976
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1160062
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1160151
osetMult`2`n`(%,Integer)->%`dCubicalFacet``1160249
osetMult!`2`n`(%,Integer)->%`dOrientedFacet``1160280
osetMult!`2`n`(%,Integer)->%`dProductFacet``1160311
osetnext!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1160342
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1160477
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->%`dSetOfMIntegersInOneToN(m,n)``1160572
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1160747
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1161112
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1161556
oset_output_mode`2`x`(String,Integer)->Void`dFloat``1162097
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1162185
osetPosition`2`x`(%,NonNegativeInteger)->Void`cCachableSet``1162250
osetPredicates`2`n`(%,List(Any))->%`dPattern(R)``1162329
osetprevious!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1162449
osetPrologue!`2`n`(%,List(String))->List(String)`dTexFormat``1162592
osetPrologue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1162694
osetProperties`2`x`(%,AssociationList(Symbol,None))->%`dBasicOperator``1162820
osetProperty`3`x`(%,Symbol,None)->%`dBasicOperator``1162986
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1163181
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1163327
osetref`2`n`(%,S)->S`dReference(S)``1163621
osetRefined!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1163682
osetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1163825
osetrest!`3`x`(%,Integer,%)->%`dStream(S)``1163940
osetright!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1164067
osetRow!`3`n`(%,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1164148
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(%,Integer,Row)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1164270
osetRow!`4`n`(%,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1164352
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1164504
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1164580
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1164674
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1164864
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1165144
osetStatus!`2`n`(%,Boolean)->%`dSplittingNode(V,C)``1165261
osetStatus`2`n`(%,Union(Boolean,"failed"))->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1165403
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(%,Integer,Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1165759
osetsubMatrix!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1165989
osetsubPencil!`4`n`(%,NonNegativeInteger,NonNegativeInteger,%)->%`dLinearMultivariateMatrixPencil(R)``1166130
osetTex!`2`n`(%,List(String))->List(String)`dTexFormat``1166278
osetTopPredicate`3`n`(%,List(Symbol),Any)->%`dPattern(R)``1166370
osetTransform!`2`n`(%,STransform(PT))->Void`dScene(PT)``1166509
osetUnion`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1166607
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetValue!`2`n`(%,V)->%`dSplittingNode(V,C)``1166778
osetvalue!`2`x`(%,S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1166918
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1166995
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1167136
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1167326
osh`2`x`(%,%)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1167487
osh`2`x`(%,NonNegativeInteger)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1167617
oshade`1`n`(Point(R))->R`pPointPackage(R)``1167697
oshade`1`x`(%)->Integer`dPalette``1168026
oshallowCopy`1`n`(%)->%`dSubSpace(n,R)``1168108
oshallowExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``1168151
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1168261
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1168541
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``1168666
oShi`1`x`(%)->%`cLiouvillianFunctionCategory``1168724
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1168854
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1168912
oshift`1`n`(F)->%`dMoebiusTransform(F)``1168970
oshift`2`n`(%,F)->%`dMoebiusTransform(F)``1169078
oshift`2`x`(%,%)->%`cIntegerNumberSystem``1169179
oshift`2`x`(%,Integer)->%`dFloat``1169242
oshift`2`x`(%,Integer)->%`dNonNegativeInteger``1169319
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1169380
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1169613
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1169929
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1170038
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1170215
oshiftLeft`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``1170321
oshift_mat!`3`n`(MMT,Integer,Integer)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1170389
oshiftRight`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1170614
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1170706
oshow`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1170823
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1171076
oshowAllElements`1`x`(%)->OutputForm`dStream(S)`has(S,SetCategory)`1171175
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1171269
oshowClipRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1171403
oshowElements`2`x`(NonNegativeInteger,%)->OutputForm`dStream(S)`has(S,SetCategory)`1171658
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1171768
oshowRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1171840
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1172085
oshowTheSymbolTable`0`n`()->%`dTheSymbolTable``1172221
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1172290
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1172563
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1172683
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1172895
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``1173040
oSi`1`x`(%)->%`cLiouvillianFunctionCategory``1173093
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1173217
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1173270
osierpinskiDivide`2`n`(%,NonNegativeInteger)->%`dSceneIFS(PT)``1173323
oSigma`0`n`()->Symbol`pMathematicalSymbols``1173505
osigma`0`n`()->Symbol`pMathematicalSymbols``1173574
osign`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1173641
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1173693
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(%)->%`cSpecialFunctionCategory``1173729
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1173781
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1173861
osign`1`x`(%)->Integer`cOrderedRing``1174097
osign`1`x`(%)->Integer`dPermutation(S)``1174212
osign`2`x`(ThePols,%)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1174308
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1174398
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1174533
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1174663
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1174889
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1175051
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1175103
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1175155
osimpleCells`1`n`(%)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1175212
osimplicialComplex`1`n`(List(VS))->%`dFiniteSimplicialComplex(VS)``1175344
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1175375
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1175427
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1175479
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1175660
osimplicialJoin`3`n`(%,%,Boolean)->%`dFiniteSimplicialComplex(VS)``1175852
osimplify`1`n`(%)->%`dGroupPresentation``1176244
osimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1176776
osimplify`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1177080
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1177269
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1177333
osimplify`2`n`(%,Boolean)->%`dGroupPresentation``1177803
osimplify`2`n`(List(%),SparseEchelonMatrix(JB,%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1177840
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplifyCoeffs`2`n`(Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1178291
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1178362
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1178691
osimpMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1178902
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(%),SparseEchelonMatrix(JB,%),List(%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1179003
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(%)->%`cJetBundleFunctionCategory(JB)``1179153
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1179246
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1179932
osin?`1`n`(%)->Boolean`dFourierComponent(E)``1180622
osin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1180707
osin`1`n`(E)->%`dFourierComponent(E)``1180774
osin`1`n`(F)->F`pElementaryFunction(R,F)``1180840
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1180899
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1180964
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1181029
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1181095
osin`1`x`(%)->%`cTrigonometricFunctionCategory``1181163
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1181214
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1181312
osingleFace`1`n`(List(PT))->%`dSceneIFS(PT)``1181414
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1181511
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1181697
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1181953
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1182432
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1183017
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1183084
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1183154
osinh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1183235
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1183304
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1183375
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1183456
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1183537
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1183615
osinh`1`x`(%)->%`cHyperbolicFunctionCategory``1183695
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1183758
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1183860
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1183975
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1184064
osipnt`2`n`(Integer,Integer)->%`cSPointCategory``1184151
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1184243
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->%`cSPointCategory``1184352
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1184445
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xFramedModule&(S,R)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1184555
osize`0`x`()->NonNegativeInteger`cFinite``1184619
osize`1`n`(%)->NonNegativeInteger`dFreeGroup(S)``1184683
osize`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``1184750
osize`1`n`(%)->NonNegativeInteger`dListMonoidOps(S,E,un)``1184817
osize`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1184889
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``1184931
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(%,%)->Boolean`cEuclideanDomain``1185008
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1185224
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1185404
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1185584
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1185764
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1185867
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1185963
oski`1`n`(UT)->%`dSKICombinators(UT)``1186154
oski`2`n`(%,%)->%`dSKICombinators(UT)``1186192
oslash`2`n`(%,%)->%`dOutputForm``1186245
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1186343
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1186602
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(%,%)->Boolean`cComparable``1186796
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmesh`2`n`(List(List(PT)),Boolean)->%`dSceneIFS(PT)``1186882
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1186995
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1187057
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1187134
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1187279
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1187300
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1187321
osolid?`1`n`(%)->Boolean`dSubSpaceComponentProperty``1187370
osolid`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``1187408
osolutionVector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1187450
osolutionVector`2`n`(%,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1187555
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1187713
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1187984
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1188164
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1188201
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1188411
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1188541
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1188740
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1188877
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1189030
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1189170
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1189348
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1189465
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1189581
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1189766
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1189971
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1190085
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1190266
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1190481
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1190620
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1190846
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1190987
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1191128
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1191333
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1191487
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1191702
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1191843
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1192052
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1192200
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1192409
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1192528
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1192676
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1192824
osolve`3`n`(Matrix(F),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1193033
osolve`3`n`(Matrix(F),Vector(F),(LO,F)->Union(Record(particular:F,basis:List(F)),"failed"))->Union(Record(particular:Vector(F),basis:Matrix(F)),"failed")`pSystemODESolver(F,LO)``1193135
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1193561
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1194360
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1195112
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1195680
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1196093
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1196506
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1196832
osolve`4`n`(Matrix(LO),F,List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Union(Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F))),"failed")`pOrePolynomialMatrixOperations(F,LO)``1197091
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1197677
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1197972
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1198267
osolveFor`2`n`(%,JB)->Union(%,"failed")`cJetBundleFunctionCategory(JB)``1198515
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1198607
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1198792
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1198942
osolveInField`3`n`(Matrix(LO),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1199090
osolveInField`3`n`(Matrix(LO),Vector(F),(LO,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1199206
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1199619
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1199815
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1200011
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1200207
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1200403
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1200606
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1200809
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1201024
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1201239
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1201504
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1201819
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`x`(List(SparseUnivariatePolynomial(%)),SparseUnivariatePolynomial(%))->Union(List(SparseUnivariatePolynomial(%)),"failed")`cPolynomialFactorizationExplicit``1202084
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1202349
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1202598
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1203015
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1203271
osolveUniquely`2`n`(Matrix(S),Vector(S))->Union(Vector(S),"failed")`pLinearSystemMatrixPackage2(S)``1203481
osomeBasis`0`x`()->Vector(%)`cFiniteRankNonAssociativeAlgebra(R)``1203627
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``1203689
oSomos`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``1203790
osort!`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort`1`n`(%)->%`dFiniteSimplicialComplex(VS)``1204016
osort!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable),has(S,OrderedSet))`1204028
osort`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1204106
osort`1`x`(List(%))->List(%)`dPermutation(S)``1204219
osort!`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort!`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1204503
osort`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1204587
osort`2`x`(%,VarSet)->Record(under:%,floor:%,upper:%)`cPolynomialSetCategory(R,E,VarSet,P)``1204689
osorted?`1`n`(A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(%)->Boolean`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1204886
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,%)->Boolean`cLinearAggregate(S)`has(%,finiteAggregate)`1204969
osortedPurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1205060
osortLD`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``1205219
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
ospace`0`x`()->%`dCharacter``1205319
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1205371
ospace`1`x`(ThreeSpace(DoubleFloat))->%`dDrawOption``1205567
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1205678
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1205759
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1205840
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1206313
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``1206690
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1207119
ospecial_order`2`n`(S,List(UP))->Integer`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ospecial_order`2`x`(%,List(UP))->Integer`cFunctionFieldCategory(F,UP,UPUP)``1207224
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1207434
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1207501
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1207666
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1207837
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1208012
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1208220
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1208488
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1208682
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1208876
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1208967
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1209209
osplit`2`x`(%,CharacterClass)->List(%)`cStringAggregate``1209452
osplit`2`x`(%,Character)->List(%)`cStringAggregate``1209548
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1209638
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1210441
osplit!`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1210588
osplit`2`x`(S,%)->Record(less:%,greater:%)`dBinarySearchTree(S)``1210909
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1211089
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1211216
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1211405
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1211559
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1211748
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1211898
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1212116
osplit_mat!`6`n`(MMT,Integer,Integer,Integer,PMD,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1212246
osplitNodeOf!`3`n`(%,%,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``1212623
osplitNodeOf!`4`n`(%,%,List(SplittingNode(V,C)),(C,C)->Boolean)->%`dSplittingTree(V,C)``1212875
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1213146
ospnt`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1213459
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1213551
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1213660
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1213693
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1213705
osqfrFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``1213784
osqrt`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1213939
osqrt`1`n`(%)->%`dInnerPrimeField(p)``1214008
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(%)->%`cRadicalCategory``1214278
osqrt`1`x`(%)->%`cRealClosedField``1214418
osqrt`1`x`(%)->%`dPrimeField(p)``1214460
osqrt`1`x`(Fraction(Integer))->%`cRealClosedField``1214634
osqrt`1`x`(Integer)->%`cRealClosedField``1214676
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``1214718
osqrt`2`x`(%,PositiveInteger)->%`cRealClosedField``1214843
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``1214890
osquare?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1215065
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1215240
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1215326
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1215432
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1215610
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1215800
osquareFree`1`x`(%)->Factored(%)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1215974
osquareFree`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``1216068
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1216253
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1216586
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1216692
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1216785
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1217184
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1217355
osquareFreePart`1`x`(%)->%`cUniqueFactorizationDomain``1217491
osquareFreePart`2`x`(P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``1217604
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``1218105
osquareMatrix`1`n`(Matrix(R))->%`dSquareMatrix(ndim,R)``1218220
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1218339
ostack`1`x`(List(S))->%`dStack(S)``1218510
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1218666
ostar`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``1219341
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1219454
ostarts`1`n`(List(Boolean))->%`dBitStreamFrame``1219898
ostarts`1`n`(String)->%`dBitStreamFrame``1219926
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1219996
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1220121
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1220226
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1220331
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1220436
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1220544
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1220580
ostatistics`0`n`()->Void`pUnittestCount``1220790
ostatus`1`n`(%)->Boolean`dSplittingNode(V,C)``1220931
ostatus`1`n`(%)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1220996
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221138
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221272
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221406
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1221539
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1221643
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1221749
ostop`0`n`()->%`dFortranCode``1221838
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1221905
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1222178
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1222472
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1222562
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1222652
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1222742
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1222835
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->%`dSTransform(PT)``1222983
ostransform`1`n`(List(DoubleFloat))->%`dSTransform(PT)``1223166
ostransform`1`n`(List(List(DoubleFloat)))->%`dSTransform(PT)``1223234
ostransform`1`n`((PT)->PT)->%`dSTransform(PT)``1223310
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1223417
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1223514
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->%`dSTransform(PT)``1223631
ostream`1`n`(%)->Stream(R)`cSequenceCategory(R)``1223915
ostream`1`x`(()->S)->%`dStream(S)``1223965
ostream`2`x`((S)->S,S)->%`dInfiniteTuple(S)``1224116
ostream`2`x`((S)->S,S)->%`dStream(S)``1224191
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1224429
ostring`1`n`(OutputForm)->String`pOutputFormTools``1224517
ostring?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1224630
ostring`1`x`(Integer)->%`cStringCategory``1224719
ostring`1`x`(%)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1224803
ostring`1`x`(%)->String`dSymbol``1224940
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1225043
ostrongGenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``1225186
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1225271
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``1225517
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``1225662
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1225773
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1226030
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1226287
ostructuralConstants`1`x`(Vector(%))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1226578
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1226857
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1227290
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1227723
ostruveH`2`x`(%,%)->%`cSpecialFunctionCategory``1227786
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1227849
ostruveL`2`x`(%,%)->%`cSpecialFunctionCategory``1228004
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->%`dSceneIFS(PT)``1228159
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``1228274
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``1228569
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`1228695
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``1228998
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1229106
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1229166
ostyle`1`x`(String)->%`dDrawOption``1229311
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1229487
osub1!`2`n`(PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1229692
osub`2`n`(%,%)->%`dOutputForm``1229767
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1229846
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1229945
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),%,Boolean,Boolean)->Void`cFiniteGraph(S)``1230044
osubdivide`1`n`(%)->%`dSceneIFS(PT)``1230323
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1230475
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1230584
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(%,Integer,Integer,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1230693
osubMatrix`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1230905
osubmod`3`x`(%,%,%)->%`cIntegerNumberSystem``1231045
osubNode?`3`n`(%,%,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1231130
osubNodeOf?`3`n`(SplittingNode(V,C),%,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1231268
osubordinationConvolution`2`n`(%,%)->%`cDistributionCategory(R)``1231446
osubPencil`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1231574
osubPencil`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1231698
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1231810
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1231910
osub_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1232010
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232105
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1232248
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232391
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1232542
osubResultantChain`2`x`(%,%)->List(%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1232710
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1232898
osubResultantGcd`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1233011
osubResultantGcd`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1233342
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1233490
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1233703
osubResultantsChain`2`n`(%,%)->List(%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1233846
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1233989
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1234185
osubscript`2`x`(%,List(OutputForm))->%`dSymbol``1234495
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(%,%)->Boolean`cSetAggregate(S)``1234601
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1234772
osubsetLattice`1`n`(List(S))->%`dSubsetLattice(S,top)``1235122
osubspace`0`n`()->%`dSubSpace(n,R)``1235162
osubspace`1`x`(%)->SubSpace(3,R)`cThreeSpaceCategory(R)``1235201
osubspace`1`x`(%)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1235339
osubspace?`2`n`(%,%)->Boolean`dVectorSpaceBasis(R)``1235523
osubspace`2`x`(%,ThreeSpace(DoubleFloat))->%`dThreeDimensionalViewport``1235609
osubst`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`x`(%,%)->%`dEquation(S)`has(S,ExpressionSpace)`1235822
osubst`2`x`(%,Equation(%))->%`cExpressionSpace2(K)``1235955
osubst`2`x`(%,List(Equation(%)))->%`cExpressionSpace2(K)``1236050
osubst`3`n`(%,%,%)->%`dLambda(UT)``1236210
osubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``1236266
osubst`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
osubst`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`3`x`(%,List(K),List(%))->%`cExpressionSpace2(K)``1236382
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1236549
osubstitute`3`n`(S,S,%)->%`dListMultiDictionary(S)``1236665
osubstring?`3`x`(%,%,Integer)->Boolean`cStringAggregate``1236776
osubst_var`3`n`(%,List(Symbol),List(Symbol))->%`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1236944
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1237074
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1237170
osubtract`2`n`(%,%)->%`dOrientedFacet``1237250
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(%,%)->Union(%,"failed")`cCancellationAbelianMonoid``1237327
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1237453
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1237549
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1237645
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1237767
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1237928
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1238036
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1238207
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1238280
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1238415
osuchThat`3`x`(%,List(Symbol),(List(F))->Boolean)->%`dRewriteRule(Base,R,F)``1238557
osufactor`1`n`(SparseUnivariatePolynomial(F))->Record(cont:F,factors:List(Record(factor:SparseUnivariatePolynomial(F),exponent:NonNegativeInteger)))`pUnivariateFiniteFieldFactorize(F,UP)``1238704
osufactor_square_free`1`n`(SparseUnivariatePolynomial(F))->List(SparseUnivariatePolynomial(F))`pUnivariateFiniteFieldFactorize(F,UP)``1238770
osuffix?`2`x`(%,%)->Boolean`cStringAggregate``1238878
osu_irreducible?`1`n`(SparseUnivariatePolynomial(F))->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``1239144
osum`1`n`(%)->%`dOutputForm``1239251
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1239334
osum`2`n`(%,%)->%`dOutputForm``1239531
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1239646
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1239828
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1239905
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1240087
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1240194
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1240296
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1240373
osum`3`n`(%,%,%)->%`dOutputForm``1240555
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1240711
osumBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``1240790
osumBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``1240943
osumBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``1241128
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``1241211
osummands`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``1241348
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1241480
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1241586
osummation`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``1241742
osummation`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``1241848
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1242004
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1242198
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1242457
osunion`2`n`(%,%)->%`dSBoundary(PT)``1242691
osup`1`x`(%)->R`cIntervalCategory(R)``1242922
osup`2`x`(%,%)->%`cOrderedAbelianMonoidSup``1242977
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1243086
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1243286
osuper`2`n`(%,%)->%`dOutputForm``1243487
osuperscript`2`x`(%,List(OutputForm))->%`dSymbol``1243570
osupersub`2`n`(%,List(%))->%`dOutputForm``1243680
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(%)->List(S)`cFreeModuleCategory(R,S)``1243818
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1243905
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSurface(ComponentFunction)``1244077
osvec`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1244212
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1244305
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1244415
oswap`1`x`(%)->%`dEquation(S)``1244485
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(%,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`1244569
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1244702
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1244806
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1244933
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1245074
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1245172
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1245293
oswapRowsColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1245428
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1245567
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1245689
osymbol?`1`n`(%)->Boolean`dPattern(R)``1245822
osymbol`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``1245878
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1245972
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1246060
osymbol?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1246173
osymbol`1`x`(%)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1246262
osymbolIfCan`1`n`(%)->Union(Symbol,"failed")`cKernelCategory(S)``1246399
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->%`dSymbolTable``1246515
osymbolTableOf`2`n`(Symbol,%)->SymbolTable`dTheSymbolTable``1246598
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1246673
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1246872
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``1247006
osymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1247208
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(%,%)->%`cSetAggregate(S)``1247410
osymmetricGroup`1`n`(PositiveInteger)->%`dGroupPresentation``1247792
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1247935
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1248208
osymmetricPower`2`x`(%,NonNegativeInteger)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1248414
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1248602
osymmetricProduct`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1248830
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1249038
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(%,%)->%`cIntegerNumberSystem``1249286
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1249394
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1249499
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1250065
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1250598
oT$`0`n`()->%`cBoundedMeetSemilattice``1250806
oT$`0`n`()->S`xLogic&(S)``0
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1250841
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1250874
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1250946
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->%`cTableAggregate(Key,Entry)``1251152
otable`1`n`((Key)->SingleInteger)->%`dXHashTable(Key,Entry)``1251225
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(%))->TwoDimensionalArray(%)`dJetVectorField(JB,D)``1251656
otable`1`x`(List(Record(key:Key,entry:Entry)))->%`cTableAggregate(Key,Entry)``1251745
otableau`1`x`(List(List(S)))->%`dTableau(S)``1251852
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1251927
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1252017
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1252126
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1252432
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(%)->%`cDoublyLinkedAggregate(S)``1252728
otail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``1252856
otail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1252976
otails`1`x`(%)->List(%)`dList(S)``1253061
otan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1253179
otan`1`n`(F)->F`pElementaryFunction(R,F)``1253246
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1253308
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1253376
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1253444
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1253513
otan`1`x`(%)->%`cTrigonometricFunctionCategory``1253584
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1253638
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1253736
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1253840
otanh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1253948
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1254017
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1254091
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1254175
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1254259
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1254340
otanh`1`x`(%)->%`cHyperbolicFunctionCategory``1254423
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1254489
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1254591
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1254700
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1254789
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1254876
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1254986
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1255068
oTau`0`n`()->Symbol`pMathematicalSymbols``1255242
otau`0`n`()->Symbol`pMathematicalSymbols``1255307
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1255370
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1255551
otaylor`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1255619
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1255760
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1255847
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1255960
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1256203
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1256289
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1256474
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1256562
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1256729
otaylor`4`n`((Integer)->R,Symbol,R,UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries1(R)``1256914
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylorIfCan`1`x`(%)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1257101
otaylorQuoByVar`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)``1257257
otaylorRep`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1257352
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1257471
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1257677
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1257883
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1258089
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1258295
otensor`1`n`(List(B))->%`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->%`cTensorPowerCategory(n,R,M)``1258451
otensor`2`n`(%,%)->%`dOutputForm``1258560
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`x`(M,N)->%`cTensorProductCategory(R,M,N)``1258626
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1258724
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1258900
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1259269
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1259368
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1259765
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->%`cFiniteGraph(S)``1260050
oterms`1`x`(%)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1260141
oterms`1`x`(%)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1260301
otest`1`x`(%)->Boolean`dBoolean``1260660
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1260756
otestcase`1`n`(String)->Void`pUnittestCount``1260936
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1261080
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1261238
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1261260
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1261483
otestcp`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1261713
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1261735
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1261757
otestEquals`2`n`(String,String)->Void`pUnittest``1261874
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1262150
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1262436
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262502
otestfg`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262524
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262546
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262568
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262590
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262612
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262634
otestlc`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(llc:List(Stream(Record(k:Integer,c:Expression(Integer)))),rlc:List(Stream(Record(k:Integer,c:Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262656
otestLibraryError`1`n`(String)->Void`pUnittest``1262678
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1262797
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262927
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262949
otestlp`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262971
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1262993
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1263015
otestNotEquals`2`n`(String,String)->Void`pUnittest``1263215
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1263314
otestnp`1`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->List(Record(point:Record(x:Integer,y:Integer),slope:Fraction(Integer),npoly:UnivariatePolynomial(var,Expression(Integer))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1263423
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1263445
otestRealEquals`2`n`(String,String)->Void`pUnittest``1263467
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1263684
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1263911
otestro`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Expression(Integer),PositiveInteger)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264091
otestsb`2`n`(Union(UnivariatePolynomial(var,Expression(Integer)),UnivariateLaurentSeries(Expression(Integer),var,cen)),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264113
otestsc`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264135
otestsuite`1`n`(String)->Void`pUnittestCount``1264157
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1264308
otestTrue`1`n`(String)->Void`pUnittest``1264470
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1264542
otex`1`n`(%)->List(String)`dTexFormat``1264617
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1264687
oTheta`0`n`()->Symbol`pMathematicalSymbols``1264751
otheta`0`n`()->Symbol`pMathematicalSymbols``1264820
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1264887
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1265163
otimes`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``1265271
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1265342
otimes`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1265545
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1265651
otitle`1`x`(String)->%`dDrawOption``1265772
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1265914
otitle`2`n`(%,String)->Void`dTwoDimensionalViewport``1266119
otitle`2`x`(%,String)->Void`dThreeDimensionalViewport``1266276
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1266437
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1266487
otoggleAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1266698
otoggleDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1266785
oto_mod_pa`1`n`(SparseUnivariatePolynomial(Integer))->PrimitiveArray(PrimeField(p))`pVectorPolynomialOperationsP(p)``1266840
oto_mod_pa`1`n`(SparseUnivariatePolynomial(K))->PrimitiveArray(K)`pVectorPolynomialOperationsF(K)``1266967
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1267024
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1267156
otop`1`x`(%)->S`cStackAggregate(S)``1267996
otoPermutation`1`n`(%)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1268166
otoPermutationIfCan`1`n`(%)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268263
otoPermutationIfCan`2`n`(%,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268473
otoPermutationIfCan`3`n`(%,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268683
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1268905
otoPoint`1`n`(%)->%`cSPointCategory``1268995
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1269169
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1269409
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1269527
otopPredicate`1`n`(%)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1269687
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1269889
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1270070
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1270381
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1270421
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1270527
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1270571
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1270777
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1270832
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1270908
otoScale`1`x`(Boolean)->%`dDrawOption``1270989
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1271219
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1271428
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1271561
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1271694
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1271831
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1271974
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`n`(%)->String`cVarCat``1272106
otoString`1`n`(%)->String`dILogic``1272159
otoString`1`n`(%)->String`dLambda(UT)``1272229
otoString`1`n`(%)->String`dLatticeJoinOfMeets``1272448
otoString`1`n`(%)->String`dLatticeMeetOfJoins``1272518
otoString`1`n`(%)->String`dSceneNamedPoints(PT)``1272588
otoString`1`n`(%)->String`dSKICombinators(UT)``1272664
otoString`1`x`(%)->String`cFloatingPointSystem``1272678
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(%,NonNegativeInteger)->String`cFloatingPointSystem``1272751
otoStringConven`2`n`(%,List(String))->String`dLambda(UT)``1272864
otoStringUnwrapped`1`n`(%)->String`dILogic``1273155
otoStringUnwrapped`1`n`(%)->String`dLatticeJoinOfMeets``1273234
otoStringUnwrapped`1`n`(%)->String`dLatticeMeetOfJoins``1273313
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1273392
otoTable`1`x`((%,%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1274208
otoTable`1`x`((%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1274497
ototalDegree`1`n`(%)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1274662
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1274766
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1274909
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDifferential`1`n`(Expression(CoefRing))->%`dDeRhamComplex(CoefRing,listIndVar)``1275123
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1275227
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1275458
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1275722
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1275905
oto_UP`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
otoVector`1`n`(%)->%`cSPointCategory``1275941
otower`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
otower`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
otower`1`x`(%)->List(K)`cExpressionSpace2(K)``1276108
otower`1`x`(List(%))->List(K)`cExpressionSpace2(K)``1276213
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1276350
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``1276765
otrace`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1276875
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1277012
otrace`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1277111
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1277457
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1277626
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1277795
otrailingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``1277911
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot3D``1277959
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot``1278049
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1278138
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(%)->Boolean`cExtensionField(F)``1278266
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1278390
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1278428
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1278532
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1278619
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1278716
otransformationMatrix`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1278910
otransformColumns!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1279043
otransformColumns!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279130
otransformRows!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1279243
otransformRows!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279326
otransition_matrices`1`n`(%)->List(Matrix(Integer))`dChainComplex``1279435
otranslate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1279512
otranslate`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1279738
otranslate`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1279850
otranspose`1`n`(%)->%`dSquareMatrix(ndim,R)``1280313
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1280386
otranspose`1`x`(%)->%`dCartesianTensor(minix,dim,R)``1280458
otranspose`1`x`(Row)->%`cMatrixCategory(R,Row,Col)``1280717
otranspose`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``1280787
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1281093
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1281787
otraverse`2`n`(%,List(NonNegativeInteger))->%`dSubSpace(n,R)``1282485
otree`1`x`(List(S))->%`dTree(S)``1282832
otree`1`x`(S)->%`dTree(S)``1282907
otree`2`x`(S,List(%))->%`dTree(S)``1282986
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1283078
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``1283323
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283369
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283460
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283551
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1284574
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1284768
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1285124
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1285214
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1285588
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1285829
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1285999
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1286128
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1286257
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1286572
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`x`(%,CharacterClass)->%`cStringAggregate``1286887
otrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1287075
otrim_mat!`4`n`(MMT,Integer,Integer,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1287266
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1287525
otrue`0`x`()->%`cLogic``1287627
otrueEqual`2`x`(%,%)->Boolean`dAlgebraicNumber``1287669
otrunc`2`x`(%,NonNegativeInteger)->%`cFreeLieAlgebra(VarSet,R)``1287749
otrunc`2`x`(%,NonNegativeInteger)->%`cXPolynomialsCat(vl,R)``1287838
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(%)->%`cRealNumberSystem``1287927
otruncate`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1288016
otruncate`3`x`(%,Expon,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1288149
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1288312
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1288477
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1288598
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1288701
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1288847
otry_real`2`n`(F,Symbol)->F`pRealNormalizationUtilities(R,F)``0
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1289041
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1289231
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->%`dTubePlot(Curve)``1289324
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1289640
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1289921
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1290192
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1290557
otubePoints`1`x`(PositiveInteger)->%`dDrawOption``1290920
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1291137
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1291352
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1291490
otubeRadius`1`x`(Float)->%`dDrawOption``1291634
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1291780
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1291995
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1292073
otValues`1`n`(%)->List(List(DoubleFloat))`dPlot3D``1292164
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1292323
otype`1`n`(%)->Symbol`cJetBundleCategory``1292425
otypeList`2`n`(FortranScalarType,%)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1292535
otypeLists`1`n`(%)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1292626
oU`0`n`()->%`cJetBundleCategory``1292713
oU`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->%`cJetBundleCategory``1292770
oU`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oucodeToString`1`x`(Integer)->%`dString``1292842
ouentries`1`x`(%)->List(SingleInteger)`dString``1292985
ounary?`1`x`(%)->Boolean`dBasicOperator``1293315
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1293369
ounbind`1`n`(%)->%`dLambda(UT)``1293420
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1293511
ounderscore`0`x`()->%`dCharacter``1293753
oundirectedGraph`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``1293902
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dUndirectedGraph(S)``1294079
oundirectedGraph`1`n`(List(S))->%`dUndirectedGraph(S)``1294183
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dUndirectedGraph(S)``1294455
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dUndirectedGraph(S)``1294570
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dUndirectedGraph(S)``1294640
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->%`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->%`dXRecursivePolynomial(VarSet,R)``1294829
ouniform01`0`n`()->Float`pRandomFloatDistributions``1294891
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1294931
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1294970
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1295009
ounion`1`n`(List(%))->%`dSBoundary(PT)``1295053
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(%,%)->%`dPatternMatchResult(R,S)``1295197
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1295267
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`x`(%,%)->%`cSetAggregate(S)``1295353
ounion`2`x`(%,S)->%`cSetAggregate(S)``1295483
ounion`2`x`(S,%)->%`cSetAggregate(S)``1295669
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1295855
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(%)->Boolean`cEntireRing``1295967
ounit`1`x`(List(Float))->%`dDrawOption``1296059
ounit`1`x`(%)->R`dFactored(R)``1296213
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->%`cFiniteGraph(S)``1296280
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(%)->%`cEntireRing``1296533
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(%)->Record(unit:%,canonical:%,associate:%)`cEntireRing``1296604
ounitNormalize`1`x`(%)->%`dFactored(R)``1296918
ounitPart`1`n`(%)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1297119
ounits`1`n`(%)->List(Float)`dGraphImage``1297273
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1297458
ounits`2`n`(%,List(Float))->List(Float)`dGraphImage``1297662
ounits`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1297963
ounits`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1298217
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1298484
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1298580
ounitStep`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1298698
ounitStep`1`x`(%)->%`cSpecialFunctionCategory``1298791
ounitVector`1`n`(%)->%`cSPointCategory``1298884
ounitVector`1`n`(IS)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1299014
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1299056
ounitVector`1`x`(PositiveInteger)->%`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1299201
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1299295
ounivariate`1`x`(%)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1299393
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1299660
ounivariate`2`n`(S,K)->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace2&(S,R,K)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1299764
ounivariate`2`x`(%,K)->Fraction(SparseUnivariatePolynomial(%))`cFunctionSpace2(R,K)`has(R,IntegralDomain)`1299868
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1299963
ounivariate`2`x`(%,VarSet)->SparseUnivariatePolynomial(%)`cPolynomialCategory(R,E,VarSet)``1300134
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1300341
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1300487
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1300544
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1300703
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1300862
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1301025
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1301205
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301453
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301562
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301735
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301853
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301982
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1302776
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->%`cFiniteSetAggregate(S)`has(S,Finite)`1302815
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1302911
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->%`cUnivariatePolynomialCategory(R)``1303066
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1303225
ounparse`1`n`(%)->String`dInputForm``1303519
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1303684
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1304035
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1304560
ounravel`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``1305161
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1305284
oUnVectorise`1`n`(Vector(R))->%`dModMonic(R,Rep)``1305414
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->%`cUnivariatePolynomialCategory(R)``1305489
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1305617
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``1305850
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1305912
oupdate!`2`n`(%,SingleInteger)->%`dHashState``1305947
oupdate`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1306094
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdateStatus!`1`n`(%)->%`dSplittingTree(V,C)``1306278
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1306404
oupperCase`0`x`()->%`dCharacterClass``1306439
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase?`1`x`(%)->Boolean`dCharacter``1306563
oupperCase!`1`x`(%)->%`cStringAggregate``1306674
oupperCase`1`x`(%)->%`cStringAggregate``1306803
oupperCase`1`x`(%)->%`dCharacter``1306884
oupperSet`1`n`(%)->%`cPoset(S)``1307053
ouppertriangular?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1307195
oUpsilon`0`n`()->Symbol`pMathematicalSymbols``1307275
oupsilon`0`n`()->Symbol`pMathematicalSymbols``1307348
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``1307419
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1307631
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1307760
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1307957
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1308092
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1308264
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1308484
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``1308559
ovalidate`1`n`(%)->Boolean`dChainComplex``1308662
ovalidate`1`n`(%)->Boolean`dCoChainComplex(VS)``1308778
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1308905
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(%)->SingleInteger`dHashState``1309070
ovalue`1`n`(%)->Symbol`dILogic``1309163
ovalue`1`n`(%)->Symbol`dLatticeJoinOfMeets``1309435
ovalue`1`n`(%)->Symbol`dLatticeMeetOfJoins``1309707
ovalue`1`n`(%)->V`dSplittingNode(V,C)``1309979
ovalue`1`x`(%)->Integer`dOrdSetInts``1310042
ovalue`1`x`(%)->S`cRecursiveAggregate(S)``1310110
ovalue`1`x`(%)->String`dQueryEquation``1310173
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1310263
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1310343
ovar`1`n`(String)->%`cVarCat``1310420
ovar1Steps`1`x`(PositiveInteger)->%`dDrawOption``1310472
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1310640
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1310853
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1311121
ovar`2`n`(String,ILogic)->%`cVarCat``1311380
ovar2Steps`1`x`(PositiveInteger)->%`dDrawOption``1311436
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1311605
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1311818
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1312086
ovariable`0`n`()->Symbol`dVariable(sym)``1312345
ovariable?`1`n`(%)->Boolean`dSKICombinators(UT)``1312389
ovariable`1`n`(String)->%`dLatticeJoinOfMeets``1312439
ovariable`1`n`(String)->%`dLatticeMeetOfJoins``1312467
ovariable`1`n`(Symbol)->Union(%,"failed")`dOrderedVariableList(VariableList)``1312495
ovariable`1`x`(%)->S`cDifferentialVariableCategory(S)``1312568
ovariable`1`x`(%)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1312685
ovariable`1`x`(%)->Symbol`dQueryEquation``1312784
ovariable`1`x`(%)->Symbol`dSegmentBinding(S)``1312879
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1313082
ovariableName`1`x`(Symbol)->%`dGuessOption``1313215
ovariableOf`1`n`(%)->Symbol`dSimpleCell(TheField,ThePols)``1313379
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1313436
ovariables`1`n`(%)->List(%)`dPattern(R)``1313552
ovariables`1`n`(%)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1313641
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(%)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1313701
ovariables`1`n`(%)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1313776
ovariables`1`n`(NonNegativeInteger)->List(%)`cJetBundleCategory``1313886
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1313974
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1314073
ovariables`1`x`(List(%))->List(Symbol)`cFunctionSpace2(R,K)``1314189
ovariables`1`x`(%)->List(Symbol)`cFunctionSpace2(R,K)``1314304
ovariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1314382
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(%)`cJetBundleCategory``1314517
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariablesOf`1`n`(%)->List(Symbol)`dCell(TheField)``1314644
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1314711
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1315082
ovarList`1`n`(%)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1315218
ovarList`1`n`(%)->List(VarSet)`dFreeMagma(VarSet)``1315286
ovarList`1`n`(%)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1315361
ovarList`1`n`(%)->List(VarSet)`dLyndonWord(VarSet)``1315429
ovarList`1`n`(%)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1315504
ovarList`1`x`(%)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1315608
ovarList`1`x`(%)->List(vl)`cXFreeAlgebra(vl,R)``1315683
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1315764
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1315858
ovconcat`1`n`(List(%))->%`dOutputForm``1316114
ovconcat`2`n`(%,%)->%`dOutputForm``1316191
ovconcat`2`n`(List(%),NonNegativeInteger)->%`dOutputBox``1316274
ovconcat`3`n`(List(%),NonNegativeInteger,Integer)->%`dOutputBox``1316348
ovector`1`n`(List(Complex(DoubleFloat)))->%`dComplexDoubleFloatVector``1316813
ovector`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1316877
ovector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1316944
ovector`1`x`(List(R))->%`dVector(R)``1317011
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317075
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317258
oVectorise`1`n`(%)->Vector(R)`dModMonic(R,Rep)``1317450
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(%,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1317527
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``1317736
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1317873
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1318100
overtSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1318295
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1318441
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1318512
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1318632
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1318789
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1318907
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1319062
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319156
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->%`dDrawOption``1319291
oviewpoint`1`x`(%)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1319557
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1319916
oviewpoint`2`x`(%,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1320131
oviewpoint`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1320391
oviewpoint`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1320747
oviewpoint`6`x`(%,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1321153
oviewpoint`6`x`(%,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1321653
oviewport2D`0`n`()->%`dTwoDimensionalViewport``1322153
oviewport3D`0`x`()->%`dThreeDimensionalViewport``1322300
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1322451
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1322659
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1322892
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1322971
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1323079
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1323176
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1323314
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1323437
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1323569
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1323734
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1323815
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1323927
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1323969
ovoid`0`x`()->%`dVoid``1323990
ovspace`1`n`(Integer)->%`dOutputForm``1324035
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``1324099
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``1324125
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``1324151
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1324176
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1324360
oweberE`2`x`(%,%)->%`cSpecialFunctionCategory``1324421
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1324482
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324760
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324903
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1325068
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325224
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1325304
oweierstrassP`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325383
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1325463
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325542
oweierstrassPInverse`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325738
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1325934
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326100
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1326199
oweierstrassPPrime`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326301
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1326400
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326502
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326651
oweierstrassSigma`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326732
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326813
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326975
oweierstrassZeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``1327054
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(%)->NonNegativeInteger`cJetBundleCategory``1327133
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1327322
oweight`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``1327454
oweight`1`x`(%)->NonNegativeInteger`dBasicOperator``1327525
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(%,NonNegativeInteger)->%`dBasicOperator``1327592
oweight`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1327665
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1327904
oweightedDistanceMatrix`1`n`(%)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1327944
oweightedGraph`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``1328130
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->%`dWeightedGraph(S,W)``1328285
oweightedGraph`1`n`(List(S))->%`dWeightedGraph(S,W)``1328389
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1328661
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1328776
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dWeightedGraph(S,W)``1328918
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dWeightedGraph(S,W)``1328988
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(%)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1329175
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(%,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1329299
owhatInfinity`1`x`(%)->SingleInteger`dOrderedCompletion(R)``1329534
owhileLoop`2`n`(Switch,%)->%`dFortranCode``1329669
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1329734
owhittakerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``1329808
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1329882
owhittakerW`3`x`(%,%,%)->%`cSpecialFunctionCategory``1329956
owholePart`1`x`(%)->Integer`cRealNumberSystem``1330030
owholePart`1`x`(%)->R`dContinuedFraction(R)``1330094
owholePart`1`x`(%)->R`dPartialFraction(R)``1330293
owholePart`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1330378
owholeRadix`1`x`(List(Integer))->%`dRadixExpansion(bb)``1330531
owholeRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``1330690
owidth`1`n`(%)->NonNegativeInteger`dOutputBox``1330781
owidth`1`x`(%)->R`cIntervalCategory(R)``1330843
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1330898
owilsonW`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1330987
owilsonW`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1331063
owithPredicates`2`n`(%,List(Any))->%`dPattern(R)``1331139
owordInGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331310
owordInStrongGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331517
owordsForStrongGenerators`1`x`(%)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1331734
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1331956
owritable?`1`x`(%)->Boolean`cFileNameCategory``1332123
owrite!`2`n`(%,None)->Void`dBasicFile``1332236
owrite`2`n`(%,String)->String`dTwoDimensionalViewport``1332278
owrite!`2`x`(%,S)->S`cFileCategory(Name,S)``1332517
owrite`2`x`(%,String)->String`dThreeDimensionalViewport``1332696
owrite`3`n`(%,String,List(String))->String`dTwoDimensionalViewport``1332938
owrite!`3`n`(%,String,None)->Void`dBasicKeyedAccessFile``1333243
owrite`3`n`(%,String,String)->String`dTwoDimensionalViewport``1333306
owrite`3`x`(%,String,List(String))->String`dThreeDimensionalViewport``1333585
owrite`3`x`(%,String,String)->String`dThreeDimensionalViewport``1333893
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1334175
owriteLine!`1`x`(%)->String`dTextFile``1334211
owriteLine!`2`x`(%,String)->String`dTextFile``1334390
owriteObj`2`n`(%,String)->Void`dScene(PT)``1334553
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1334679
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1334742
owriteSvg`2`n`(%,String)->Void`dScene(PT)``1334777
owriteSvgQuantised`2`n`(%,String)->Void`dScene(PT)``1334891
owriteVRML`2`n`(%,String)->Void`dScene(PT)``1335014
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1335130
owriteX3d`2`n`(%,String)->Void`dScene(PT)``1335416
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1335532
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1335751
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1335897
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1336048
oX`0`n`()->%`cJetBundleCategory``1336171
oX`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->%`cJetBundleCategory``1336230
oX`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1336304
oxform`2`n`(%,PT)->PT`dSTransform(PT)``1336558
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1336641
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1336718
oxftestEquals`2`n`(String,String)->Void`pUnittest``1336801
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1336864
oxftestLibraryError`1`n`(String)->Void`pUnittest``1336930
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1337005
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1337109
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1337178
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1337247
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1337318
oxftestTrue`1`n`(String)->Void`pUnittest``1337395
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1337454
oXi`0`n`()->Symbol`pMathematicalSymbols``1337519
oxi`0`n`()->Symbol`pMathematicalSymbols``1337596
oxmlAttribute`2`n`(String,List(String))->%`dXmlAttribute``1337671
oxmlAttribute`2`n`(String,String)->%`dXmlAttribute``1337780
oxmlElement`3`n`(String,List(%),List(XmlAttribute))->%`dXmlElement``1337878
oxmlElement`3`n`(String,String,List(XmlAttribute))->%`dXmlElement``1337988
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1338084
oxor`2`x`(%,%)->%`cBitAggregate``1338141
oxor`2`x`(%,%)->%`dBoolean``1338247
oxor`2`x`(%,%)->%`dSingleInteger``1338346
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1338459
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1338566
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``1338673
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``1338741
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1338904
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1339159
oyellow`0`x`()->%`dColor``1339284
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1339363
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1339492
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1339629
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1339736
ozag`2`n`(%,%)->%`dOutputForm``1339843
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1339944
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1340052
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1340323
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(%)->Boolean`cAbelianMonoid``1340374
ozero?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``1340430
ozero?`1`x`(%)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1340530
ozero?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340629
ozero`1`x`(NonNegativeInteger)->%`cVectorCategory(R)`has(R,AbelianMonoid)`1340703
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)``1340767
ozero?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1340839
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1340935
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1341000
ozeroDim?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1341121
ozeroDim?`2`x`(%,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1341338
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1341509
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1341666
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1341816
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1341903
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`1341988
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1342062
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1342162
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1342286
ozeroOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1342518
ozeroOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1342749
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1342924
ozeroOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1343132
ozeroSetSplit`1`x`(List(P))->List(%)`cTriangularSetCategory(R,E,V,P)``1343350
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1343546
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1343886
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1344238
ozeroSetSplit`2`x`(List(P),Boolean)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``1344386
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(%)`dRegularChain(R,ls)``1344893
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1345397
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1345721
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1346089
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1346201
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:%,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1346313
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1346632
ozerosOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1346971
ozerosOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1347326
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1347625
ozerosOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1347978
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1348335
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1348390
ozeta`0`n`()->%`dDirichletRing(Coef)``1348439
oZeta`0`n`()->Symbol`pMathematicalSymbols``1348505
ozeta`0`n`()->Symbol`pMathematicalSymbols``1348572
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``1348637
ozoom`2`n`(%,Segment(DoubleFloat))->%`dPlot``1348879
ozoom`2`x`(%,Float)->Void`dThreeDimensionalViewport``1348920
ozoom`3`n`(%,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``1349081
ozoom`4`n`(%,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``1349127
ozoom`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1349178
ozRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1349475
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1349582
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1349656
pAlgebraicIntegrate2`5`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG2`1349691
pAlgebraicIntegrate`5`n`(R0:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1349890
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1349979
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1350093
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1350208
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1350419
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1350503
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1350599
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1350809
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1350896
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1351024
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1351148
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1351235
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1351304
pBezoutMatrix`5`n`(R:Ring,UP:UnivariatePolynomialCategory(R),M:MatrixCategory(R,Row,Col),FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(R,UP,M,Row,Col)`BEZOUT`1351441
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1351621
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1351720
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1351835
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1351898
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1352170
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1352278
pCharacteristicPolynomial`1`n`(CommutativeRing)->etc`(R)`CHARPOL0`0
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1352343
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1352438
pCharacteristicPolynomial4`1`n`(Ring)->etc`(R)`CHARPOL4`1352822
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1352925
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1353023
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1353129
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1353183
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1353273
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1353339
pCommonOperators`0`n`()->etc``COMMONOP`1353504
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1353711
pcompCode`0`n`()->etc``COMPCODE`1353828
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1354661
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1354759
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1354886
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1354959
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1355037
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1355812
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1356187
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1356322
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1357022
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1357473
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1357562
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1357821
pCubicalComplexFactory`0`n`()->etc``CUBECF`1357901
pCycleIndicators`0`x`()->etc``CYCLES`1358073
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1358111
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1358180
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`0
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`0
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1358244
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1358386
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1358423
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1358562
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1358675
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1359399
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1359718
pDisplayPackage`0`x`()->etc``DISPLAY`1359839
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1359945
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1360023
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1360087
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1360126
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`1360254
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1360365
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1360638
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`1360740
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1360848
pDrawComplex`0`x`()->etc``DRAWCX`1360952
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1361039
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1361458
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1361495
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1361532
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1361816
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1361879
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1362010
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1362191
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1362364
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1362480
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1362774
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1362938
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1363007
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1363121
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1363220
pErrorFunctions`0`x`()->etc``ERROR`1363297
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1365251
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1366107
pExport3D`0`n`()->etc``EXP3D`1366282
pExportXml`0`n`()->etc``XML`1366379
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`1366438
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1366524
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1366590
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1366784
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1366966
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1367261
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1367319
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1367444
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1367535
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1367628
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1368010
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1368068
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1368343
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1368457
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1368620
pFileSerialization`0`n`()->etc``FILSER`1368926
pFindOrderFinite`4`n`(F:Join(Finite,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`FORDER`1369014
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1369099
pFiniteDivisorFunctions2`8`x`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1369187
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1369226
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1369403
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1369647
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1369815
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1370093
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1370195
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1370263
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1370576
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1370666
pFloatElementaryFunctions`0`n`()->etc``FELEM`0
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1370971
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1371105
pFloatingPointConvertion`0`n`()->etc``FOUT`0
pFloatingPointOperations`0`n`()->etc``FLOOPS`0
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1371465
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`1371786
pFloatSpecialFunctions`0`x`()->etc``FSFUN`1371888
pFortranCodePackage1`0`n`()->etc``FCPAK1`1371985
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1372600
pFractionalIdealFunctions2`8`x`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1372648
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1372699
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1372948
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1373058
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1373220
pFreeModuleCoefficientFunctions2`5`x`(R1:Join(SemiRng,etc),R2:Join(SemiRng,etc),S:Comparable,M1:FreeModuleCategory(R1,S),M2:FreeModuleCategory(R2,S))->etc`(R1,R2,S,M1,M2)`FMCF2`1373488
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1373580
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1373627
pFunctionFieldCategoryFunctions2`8`x`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1373692
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1373753
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1374147
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1374235
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1374323
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1374453
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1374586
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1374749
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1374869
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`0
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1374978
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1375189
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1375237
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1375329
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1375745
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1376161
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1376270
pGaloisGroupFactorizerSeparate`2`n`(PositiveInteger,UP:UnivariatePolynomialCategory(Integer))->etc`(p,UP)`GALFACS`0
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1376352
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1376559
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1376634
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1376705
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1376851
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1376997
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1377161
pGenerateEllipticIntegrals`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1377245
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1377328
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1377478
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1377628
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1377748
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1378266
pGnuDraw`0`x`()->etc``GDRAW`1378641
pGosperSummationMethod`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),Q:Join(RetractableTo(Fraction(Integer)),etc))->etc`(E,V,R,P,Q)`GOSPER`1378908
pGraphicsDefaults`0`x`()->etc``GRDEF`1378953
pGrayCode`0`n`()->etc``GRAY`1379048
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1379190
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1380226
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1380305
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1381341
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`1381529
pGuess`5`x`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1381712
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1381880
pGuessExpBin`5`n`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1381953
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1382053
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1382133
pGuessInteger`0`x`()->etc``GUESSINT`1382217
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1382288
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1382361
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1382443
pHallBasis`0`x`()->etc``HB`1382534
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1382790
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1382835
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1382999
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1383309
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1383384
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1383460
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1383523
pInfinity`0`x`()->etc``INFINITY`1383588
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1383670
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1383811
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1383981
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1384292
pInnerMatrixQuotientFieldFunctions`8`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col),QF:QuotientFieldCategory(R),Row2:FiniteLinearAggregate(QF),Col2:FiniteLinearAggregate(QF),M2:MatrixCategory(QF,Row2,Col2))->etc`(R,Row,Col,M,QF,Row2,Col2,M2)`IMATQF`1384453
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1384708
pInnerModularHermitePade`0`n`()->etc``IMODHP`1385027
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1385410
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1385681
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1385829
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1386001
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1386592
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1386658
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1386700
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1386885
pIntegerBits`0`n`()->etc``INTBIT`1386929
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1386997
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1387108
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1387490
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1387544
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1387626
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1387834
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1387918
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`1388044
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1388258
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1388441
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1388608
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1388726
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1388856
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1388909
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1389183
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1389386
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1389420
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(PolynomialFactorizationExplicit,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1389494
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1390034
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1390095
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1390669
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1391039
pJFriCASSupport`0`n`()->etc``JFRICAS`1391434
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1391778
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1391843
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1392002
pLazardSetSolvingPackage`6`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),RegularTriangularSetCategory(R,E,V,P),ST:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS,ST)`LAZM3PK`1392063
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1392596
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1392831
pLiftLinearDependence`3`n`(F:Field,Q:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,Q,UP)`LLINDEP`0
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`1393685
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1393782
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1393818
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1393992
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1394165
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1394337
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1394472
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1394729
pLinearSystemMatrixPackage2`1`n`(IntegralDomain)->etc`(S)`LSMP2`1395023
pLinearSystemMatrixPackage`4`x`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1395087
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1395163
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1395258
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1395587
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1395664
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1395813
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1395964
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1395988
pLLLReduction`0`n`()->etc``LLLRED`1396406
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1396670
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1396871
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1397012
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1397074
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1397303
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1397368
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1397505
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1397567
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1397604
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1397641
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1397678
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1397715
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1397752
pMathematicalSymbols`0`n`()->etc``MATHSYM`1397789
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1397909
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1398063
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1398217
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1398325
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1398546
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1398599
pModularAlgebraicGcd2`6`n`(PT:Type,MP:Type,MPT:Type,MD:Type,ModularEvaluationCategory(PT,MP),ModularAlgebraicGcdOperations(MP,MPT,MD))->etc`(PT,MP,MPT,MD,ME,MO)`MAGCD2`1398651
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1399018
pModularFactorization`0`n`()->etc``MODFACT`0
pModularFactorizationGeneral`5`n`(PA:Type,MMT:Type,MD:Type,PMD:Type,ModularFactorizationOperations(PA,MMT,MD,PMD))->etc`(PA,MMT,MD,PMD,MO)`MODFACTG`1399154
pModularFactorizationK`1`n`(FiniteFieldCategory)->etc`(K)`MODFACK`0
pModularHermitePade`0`n`()->etc``MODHP`1399369
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1399659
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1399753
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1399794
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1399900
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1400033
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1400081
pMPolyCatFunctions2`7`x`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1400347
pMPolyCatFunctions3`7`n`(Vars1:OrderedSet,Vars2:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,PR1:PolynomialCategory(R,E1,Vars1),PR2:PolynomialCategory(R,E2,Vars2))->etc`(Vars1,Vars2,E1,E2,R,PR1,PR2)`MPC3`1400379
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1400414
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1400790
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1401172
pMrvLimitPackage`0`n`()->etc``MRVLIM`1401409
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1401473
pMultipleMap`6`n`(R1:IntegralDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),R2:IntegralDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)))->etc`(R1,UP1,UPUP1,R2,UP2,UPUP2)`MMAP`1401555
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1401613
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1401900
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1402064
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1402331
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1402559
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1402875
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1403201
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1403336
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1403614
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1403775
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1403929
pNormalizationPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1404163
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1404305
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1404422
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1404457
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1404689
pNumberFormats`0`n`()->etc``NUMFMT`1404928
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1405081
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1405147
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1405248
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1409982
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1413357
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1413629
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1413768
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1414003
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1414096
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1414277
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1414444
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1414510
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1414656
pOpenMathPackage`0`x`()->etc``OMPKG`1414731
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1414838
pOperationsQuery`0`x`()->etc``OPQUERY`1415208
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1415291
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1415364
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1415494
pOutputFormTools`0`n`()->etc``OFTOOL`1415571
pOutputPackage`0`x`()->etc``OUT`1415659
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1415716
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1415834
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1415952
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1416495
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`0
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`1416564
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1416684
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1417758
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`1417793
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1418038
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1418073
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`1418108
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1418201
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1418472
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1418637
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1418695
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1418723
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1418755
pPatternMatchAssertions`0`x`()->etc``PMASS`1418827
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1418915
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1418992
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1419062
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1419257
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1419326
pPatternMatchPolynomialCategory`5`n`(S:SetCategory,E:OrderedAbelianMonoidSup,V:OrderedSet,R:Join(Ring,etc),P:Join(PolynomialCategory(R,E,V),etc))->etc`(S,E,V,R,P)`PMPLCAT`1419393
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1419466
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1419544
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1419615
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1419663
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1419732
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1419793
pPermutationGroupExamples`0`x`()->etc``PGE`1419890
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1420296
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1420457
pPlotTools`0`n`()->etc``PLOTTOOL`1420611
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1420655
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1420690
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1420725
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1420827
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1420929
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1420965
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1421047
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1421758
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Join(SemiRng,etc),P:PolynomialCategory(R,E,Vars),S:etc)->etc`(E,Vars,R,P,S)`POLYLIFT`1421871
pPolynomialCategoryQuotientFunctions`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:Ring,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYCATQ`1422168
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1422292
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1422479
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1423007
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1423226
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1423370
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1423698
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1423752
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1423806
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`0
pPolynomialRoots`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYROOT`1423901
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1423977
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1424267
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1424507
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1424929
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1425162
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1425380
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1425626
pPrimGCD`0`n`()->etc``PRIGCD3`1425804
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1426077
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1426217
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1426316
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1426547
pPrintPackage`0`x`()->etc``PRINT`1426613
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1426678
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1426795
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1427546
pPureAlgebraicLODE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`ODEPAL`1427716
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1427810
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1427847
pQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1429082
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1429256
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1429454
pRadicalEigenPackage`0`x`()->etc``REP`1429563
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1429845
pRadixUtilities`0`x`()->etc``RADUTIL`1430018
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1430085
pRandomFloatDistributions`0`n`()->etc``RFDIST`1430135
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1430200
pRandomNumberSource`0`x`()->etc``RANDSRC`1430251
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1430443
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1430932
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1431030
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1431157
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1431279
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1431362
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1431416
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1431489
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1431534
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1431616
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1431679
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1431830
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1431913
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1431978
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`1432405
pRealNormalizationUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RNORM`1432464
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1432565
pRealSolvePackage`0`n`()->etc``REALSOLV`1432666
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1432770
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1433075
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1433381
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1433546
pReducedDivisor`5`n`(F1:Field,UP:UnivariatePolynomialCategory(F1),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F1,UP,UPUP),F2:Join(Finite,etc))->etc`(F1,UP,UPUP,R,F2)`RDIV`1433729
pReduceLODE`5`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F),UP:UnivariatePolynomialCategory(F),A:MonogenicAlgebra(F,UP),LO:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(F,L,UP,A,LO)`ODERED`1433839
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1433941
pRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1434092
pRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1435398
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1435556
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1435611
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1435666
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1436175
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1436735
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1436834
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`1436986
pRootSimplification`0`n`()->etc``RSIMP`1437075
pRootUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ROOTUT`1437176
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1437225
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1437328
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1437406
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1437455
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1437525
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1437633
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1437740
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1438100
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`1438149
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1438259
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`1438585
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1438678
pSquareFreeQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1438786
pSquareFreeRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1438969
pSquareFreeRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1440196
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1440456
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1440756
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1440835
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1440999
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1441205
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1441267
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1441330
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1441395
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1441594
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1441758
pStructuralConstantsPackage`1`x`(IntegralDomain)->etc`(R)`SCPKG`1441964
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1442152
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1442273
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1442545
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1442613
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1442820
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1443102
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1443227
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1444087
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1444287
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1444707
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1444761
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1444827
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1444874
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1445019
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1445074
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1445120
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1445216
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1445336
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1445452
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1445581
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1445656
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1445708
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1445800
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1445926
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1446763
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1447313
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1447779
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1447931
pTubePlotTools`0`n`()->etc``TUBETOOL`1448116
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`0
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1448193
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1448307
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1448475
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1448817
pUnittest`0`n`()->etc``TESTUNIT`1448893
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1449120
pUnittestCount`0`n`()->etc``TESTCNT`1449261
pUnivariateFiniteFieldFactorize`2`n`(F:FiniteFieldCategory,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`UFFACT`0
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`0
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1449543
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1449721
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`0
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1449865
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1450051
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1450198
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1450544
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1450836
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1451502
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1451653
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1451782
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1451959
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1452111
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1452189
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1452256
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1452490
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1452620
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pVectorPolynomialOperationsF`1`n`(FiniteFieldCategory)->etc`(K)`POLVECF`0
pVectorPolynomialOperationsP`1`n`(PositiveInteger)->etc`(p)`POLVECP`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1452926
pViewportPackage`0`n`()->etc``VIEW`1453015
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1453142
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1453719
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1454072
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1454364
pXPolynomialFactor`2`n`(OrderedSet,F:Field)->etc`(vl,F)`XPFACT`0
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1454542
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1455845
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1455974
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1456104
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1456700
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1456854
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1457368
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1457462
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1457509
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1457565
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1457623
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1457793
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1458022
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1458141
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1458282
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1458501
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1458601
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1459043
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1459131
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1459452
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1459583
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1459712
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1461019
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1461132
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1463483
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1463641
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1463811
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1463858
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1464230
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1464381
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1464772
xExpressionSpace2&`2`n`(ExpressionSpace2(K),K:KernelCategory(%))->etc`(S,K)`ESC2-`1464930
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1465008
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1465404
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1465493
xField&`1`n`(Field)->etc`(S)`FIELD-`1465663
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1465886
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1466129
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1466360
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1466532
xFiniteDivisorCategory&`5`n`(FiniteDivisorCategory(F,UP,UPUP,R),F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(S,F,UP,UPUP,R)`FDIVCAT-`1468052
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1468283
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1468344
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1468424
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1468463
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1468586
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1468738
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1468942
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1469958
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1470072
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1470169
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1470448
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1471273
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1471396
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1471616
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1472024
xFunctionSpace2&`3`n`(FunctionSpace2(R,K),R:Comparable,K:KernelCategory(%))->etc`(S,R,K)`FSC2-`1472108
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1472188
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1472496
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1472852
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1473394
xHashable&`1`n`(Hashable)->etc`(S)`HASHABL-`1473507
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1473606
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1474138
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1474199
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1474459
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1474785
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1474852
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1475143
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1475816
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1476241
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1476351
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1477013
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1477079
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1477296
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1477982
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1478249
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1478438
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1478526
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1478633
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1479088
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1479696
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1479881
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1479949
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1480060
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1480169
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1480366
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1480513
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1480871
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1481000
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1481219
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1482018
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1482110
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1482245
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1482566
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1482673
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1482792
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1483009
xPolynomialSetCategory&`5`n`(PolynomialSetCategory(R,E,VarSet,P),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->etc`(S,R,E,VarSet,P)`PSETCAT-`1483154
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1483759
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1484004
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1484130
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1484269
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1484362
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1484434
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1484530
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1484826
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1484938
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1485168
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1485617
xRegularTriangularSetCategory&`5`n`(RegularTriangularSetCategory(R,E,V,P),R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`RSETCAT-`1486087
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1488317
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1488496
xRng&`1`n`(Rng)->etc`(S)`RNG-`1488673
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1488899
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1489226
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1489499
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1489830
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1490088
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1490351
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1490456
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`1490578
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1490639
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1490708
xTriangularSetCategory&`5`n`(TriangularSetCategory(R,E,V,P),R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`TSETCAT-`1490770
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1491804
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1491854
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1492400
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1492883
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1493057
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1493159
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1493456
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1493605
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1493953
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1494254
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1494637
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1494737
