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dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62212
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63253
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`63560
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63646
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63998
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64220
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64435
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64569
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64659
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64908
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65198
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65432
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65514
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65581
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65688
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`67076
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67324
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67735
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67825
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67883
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68146
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68561
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68671
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68706
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68926
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69145
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69350
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69934
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70269
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70310
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70366
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70473
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`70738
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`70829
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71467
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`71754
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71800
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`72066
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`72199
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72285
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`72384
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`72984
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`73064
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73167
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73432
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73786
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`73931
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74143
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74354
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76201
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`76295
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76324
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`76734
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77144
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77300
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77465
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`77705
dExit`0`x`()->SetCategory``EXIT`77905
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`78192
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78476
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79248
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79296
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80131
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`80967
dFileName`0`x`()->FileNameCategory``FNAME`81298
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81367
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81501
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`81937
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82401
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`82702
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`83166
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83395
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`83994
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84623
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85271
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85545
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85844
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86353
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`86859
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87347
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87546
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`87804
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`87883
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88347
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`88815
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`89813
dFormat1D`0`n`()->FormatterCategory``FMT1D`93560
dFormat2D`0`n`()->FormatterCategory``FMT2D`93727
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`93841
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`94250
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`94437
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`94658
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`94764
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`94923
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`95093
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`95233
dFortranType`0`n`()->Join(SetCategory,etc)``FT`95276
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`95384
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`95561
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`95738
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`96006
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`96056
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`96101
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`96210
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`96465
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`96664
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`97465
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`98070
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`98210
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`98537
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`98582
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`98631
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`99183
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`99216
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`99252
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`99570
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`99688
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`100164
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`100464
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`100536
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`100565
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`100731
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`100842
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`101280
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`101392
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`101483
dHashState`0`n`()->etc``HASHSTAT`101567
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`101634
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`101793
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`101860
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`101955
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`102293
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`102693
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`103034
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`103379
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`103574
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`103767
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`103962
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`104155
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`104349
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`104541
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`104597
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`104653
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`104748
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`104846
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`105327
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`105549
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`106624
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`106765
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`107015
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`107477
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`107585
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`107632
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`108202
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`108320
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`108350
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`108465
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`108693
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`108850
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`108966
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`109531
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`109658
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`109766
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`110142
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`110294
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`110505
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`110598
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`110676
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`111171
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`111466
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`111800
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`111954
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`112111
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`112339
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`112602
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`112772
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`113376
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`113603
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`114524
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`114696
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`114798
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`114895
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`114926
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`114982
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`115038
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`115167
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`115232
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`115600
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`115792
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`116147
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`116419
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`116665
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`116946
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`117203
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`117459
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`117630
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`118017
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`118306
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`118446
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`118608
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`118918
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`119733
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`119835
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`119937
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`120032
dMapping`1`x`special`(T,S)`MAPPING`120124
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`120364
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`120459
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`120560
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
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`120593
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`120815
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`121025
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`121058
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`121107
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`121230
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`122175
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`122224
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`122271
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`122593
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`122846
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`123032
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`123128
dNone`0`n`()->SetCategory``NONE`123222
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`123496
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`124010
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`124069
dOpenMathConnection`0`x`()->etc``OMCONN`124143
dOpenMathDevice`0`x`()->etc``OMDEV`124280
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`124472
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`124546
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`124712
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`124777
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`124962
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`125011
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`125270
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`125355
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`125685
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`125732
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`126038
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`126717
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`126838
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`127066
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`127395
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`127728
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`127990
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`128185
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`128258
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`128443
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`128511
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`128604
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`128695
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`128779
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`129054
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`129899
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`130144
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`130380
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`130601
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`130648
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`130787
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`131247
dPi`0`x`()->Join(Field,etc)``HACKPI`131731
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`132011
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`132242
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`132578
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`132943
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`133278
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`133334
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`133836
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`134200
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`134489
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`134578
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`134713
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`134858
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`135087
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`135420
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`135684
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`135747
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`137439
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`137538
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`137591
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`137635
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`137700
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`137845
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`137912
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`138149
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`138284
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`138375
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`138597
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`138850
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`139052
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`139248
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`139388
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`139484
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`139590
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`139631
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`139700
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`139837
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`141449
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`141560
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`141656
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`141742
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`141810
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`141866
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`142189
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`142541
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`142749
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`142837
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`142992
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`143065
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`143174
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`143431
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`144097
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`144211
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`145301
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`145871
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`146117
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`146188
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`146290
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`146485
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`146591
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`147002
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`147350
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`147642
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`147934
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`148052
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`148609
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`148983
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`149551
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`149713
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`150287
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`150752
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`151366
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`152340
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`152615
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`152761
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`152805
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`152983
dString`0`x`()->Join(StringCategory,etc)``STRING`153094
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`153141
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`153207
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`153239
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`153497
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`153544
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`153656
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`153726
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`153760
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`153810
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`154034
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
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`154163
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`154294
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`154430
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`154696
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`155439
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`155536
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`155674
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`155824
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`155907
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`155974
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`156156
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`156313
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`156460
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`156590
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`156708
dTyped`0`n`()->VarCat``TYPED`156774
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`156832
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`157029
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`157224
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`157421
dU64Int`0`n`()->Join(Ring,etc)``U64INT`157616
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`157743
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`157939
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`158133
dUnion`1`x`special`(A,B,...,C)`UNION`158182
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`158331
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`158658
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`159202
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`159417
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`159748
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`160268
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`160823
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`160998
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`161459
dUntyped`0`n`()->VarCat``UNTYPED`161576
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`162157
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`162196
dVectorModularReconstructor`0`n`()->etc``VECREC1`162608
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`163152
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`163432
dVoid`0`x`()->etc``VOID`163559
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`163783
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`164294
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`164556
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`165255
dXHashTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`165459
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`165569
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`165853
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`166154
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`166421
dXmlAttribute`0`n`()->etc``XMLAT`166631
dXmlElement`0`n`()->etc``XMLEL`166797
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`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->NonNegativeInteger`dTuple(S)``167050
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``167118
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``167177
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`167230
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``167293
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``167441
o*`2`n`(D,_$)->_$`dJetLazyFunction(JB,D)``167515
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``167658
o*`2`n`(DoubleFloat,_$)->_$`cSPointCategory``167844
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),_$)->_$`dSparseEchelonMatrix(C,D)``168176
o*`2`n`(Matrix(F),_$)->_$`dFreeDivisionAlgebra(VAR,F)``168245
o*`2`n`(Matrix(Fraction(D)),_$)->_$`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`168283
o*`2`n`(Matrix(R),_$)->_$`dLinearMultivariateMatrixPencil(R)``168388
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``168430
o*`2`n`(Permutation(Integer),_$)->_$`dIncidenceAlgebra(R,S)``168461
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,S)->_$`dFreeModule(R,S)``168559
o*`2`n`(R,_$)->_$`dIncidenceAlgebra(R,S)``168621
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
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`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``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`xUnivariateSkewPolynomialCategory&(S,R)``0
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`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``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,R)->_$`dFreeModule(R,S)``168714
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``168802
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``168878
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``168954
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``169026
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``169174
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``169378
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``169601
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``169665
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``169739
o*`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``169821
o*`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``169862
o*`2`n`(_$,R)->_$`dIncidenceAlgebra(R,S)``169907
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``170000
o*`2`n`(_$,S)->_$`dFreeGroup(S)``170062
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``170139
o*`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``170216
o*`2`n`(_$,_$)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``170649
o*`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``171132
o*`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``171530
o*`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``171928
o*`2`n`(_$,_$)->_$`dFreeMagma(VarSet)``172326
o*`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``172377
o*`2`n`(_$,_$)->_$`dInputForm``172493
o*`2`n`(_$,_$)->_$`dOutputForm``172566
o*`2`n`(_$,_$)->_$`dPattern(R)``172620
o*`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``172673
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``172747
o*`2`x`(DoubleFloat,_$)->_$`dColor``172833
o*`2`x`(Integer,_$)->_$`cAbelianGroup``172935
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`173004
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`173047
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``173140
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``173208
o*`2`x`(PositiveInteger,_$)->_$`dColor``173368
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`173470
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``173566
o*`2`x`(R,_$)->_$`cLeftModule(R)``173614
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173724
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,SemiGroup)`173817
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173913
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``174042
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`174171
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174269
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``174401
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``174533
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`174598
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``174691
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174740
o*`2`x`(_$,R)->_$`cRightModule(R)``174836
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,SemiGroup)`174947
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``175040
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`175151
o*`2`x`(_$,_$)->_$`cMagma``175249
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`175340
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``175456
o*`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``175864
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``175938
o+`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``176013
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``176071
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``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`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``176324
o+`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``176470
o+`2`n`(_$,_$)->_$`cFiniteGraph(S)``176528
o+`2`n`(_$,_$)->_$`cSPointCategory``176599
o+`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``177171
o+`2`n`(_$,_$)->_$`dInputForm``177283
o+`2`n`(_$,_$)->_$`dOutputForm``177356
o+`2`n`(_$,_$)->_$`dPattern(R)``177410
o+`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``177463
o+`2`x`(S,_$)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`177528
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`177585
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``177678
o+`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`177738
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`177802
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``177895
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``177955
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``178135
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`178247
o+`2`x`(_$,_$)->_$`dColor``178395
o+`2`x`(_$,_$)->_$`dDatabase(S)``178473
o+`2`x`(_$,_$)->_$`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``178551
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``178636
o-`1`n`(_$)->_$`dOutputForm``178751
o-`1`x`(_$)->_$`cAbelianGroup``178804
o-`1`x`(_$)->_$`cGradedModule(R,E)``178857
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`178966
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`179027
o-`1`x`(_$)->_$`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``179090
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``179149
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``179405
o-`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``179558
o-`2`n`(_$,_$)->_$`cSPointCategory``179623
o-`2`n`(_$,_$)->_$`dOutputForm``180094
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`180148
o-`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianGroup)`180248
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`180312
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``180412
o-`2`x`(_$,_$)->_$`cAbelianGroup``180521
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``180616
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`180803
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`180922
o-`2`x`(_$,_$)->_$`dDatabase(S)``181077
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cMeetSemilattice``181237
o/\`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``181298
o/\`2`x`(_$,_$)->_$`dSingleInteger``181406
o/`2`n`(A,R)->_$`dLocalAlgebra(A,R)``181527
o/`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``181588
o/`2`n`(M,R)->_$`dLocalize(M,R)``181659
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(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,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``181720
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``181909
o/`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``181969
o/`2`n`(_$,R)->_$`dLocalAlgebra(A,R)``182037
o/`2`n`(_$,R)->_$`dLocalize(M,R)``182098
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`182159
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)`182200
o/`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``182306
o/`2`n`(_$,_$)->_$`dInputForm``182387
o/`2`n`(_$,_$)->_$`dOutputForm``182460
o/`2`n`(_$,_$)->_$`dPattern(R)``182514
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``182567
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`182641
o/`2`x`(_$,F)->_$`cExtensionField(F)``182729
o/`2`x`(_$,Integer)->_$`cFloatingPointSystem``182787
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`182866
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`182929
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`182992
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`183079
o/`2`x`(_$,_$)->_$`cField``183166
o/`2`x`(_$,_$)->_$`cGroup``183262
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`183334
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cDistributionCategory(R)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(R)``0
o0`0`n`()->_$`dVectorSpaceBasis(R)``0
o0`0`x`()->_$`cAbelianMonoid``0
o0`0`x`()->_$`cGradedModule(R,E)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cJetBundleCategory``0
o1`0`n`()->_$`dInputForm``0
o1`0`n`()->_$`dPattern(R)``0
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`x`()->_$`cGradedAlgebra(R,E)``0
o1`0`x`()->_$`cMagmaWithUnit``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``183457
o<=`2`x`(_$,_$)->Boolean`cPartialOrder``183512
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``183562
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(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`xQuotientFieldCategory&(A,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`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``183772
o<`2`x`(_$,_$)->Boolean`cPartialOrder``183826
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``183866
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``184020
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`cVarCat``184123
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``184236
o=`2`n`(_$,_$)->Boolean`dILogic``184272
o=`2`n`(_$,_$)->Boolean`dLambda(UT)``184418
o=`2`n`(_$,_$)->Boolean`dLatticeJoinOfMeets``184711
o=`2`n`(_$,_$)->Boolean`dLatticeMeetOfJoins``184857
o=`2`n`(_$,_$)->Boolean`dLinearMultivariateMatrixPencil(R)``185003
o=`2`n`(_$,_$)->Boolean`dReference(S)``185042
o=`2`n`(_$,_$)->Boolean`dSKICombinators(UT)``185122
o=`2`n`(_$,_$)->_$`dOutputForm``185391
o=`2`x`(S,S)->_$`dEquation(S)``185445
o=`2`x`(_$,_$)->Boolean`cBasicType``185483
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``185544
o>=`2`x`(_$,_$)->Boolean`cPartialOrder``185599
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(_$,_$)->Boolean`cJetBundleCategory``185652
o>`2`n`(_$,_$)->_$`dOutputForm``185754
o>`2`x`(_$,_$)->Boolean`cPartialOrder``185808
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``185851
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``185946
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``186015
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``186048
oAnd`2`x`(_$,_$)->_$`dSingleInteger``186140
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)``186252
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``186843
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``186941
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``187033
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``187118
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``187158
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``187212
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``187266
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``187334
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``187448
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``187507
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``187566
oChi`1`x`(_$)->_$`cLiouvillianFunctionCategory``187625
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``187756
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``187810
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``187864
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``187918
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``188043
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->_$`dPartialDifferentialOperator(R,Var)``188134
oD`1`n`(Var)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``188239
oD`1`x`(_$)->_$`cDifferentialRing``188340
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``188483
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,(R)->R)->S`xDifferentialExtension&(S,R)``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,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundle(IVar,DVar)``188537
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundleSymAna(JB1,xi,eta)``188667
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``188716
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``188811
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``188941
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``189012
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``189083
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,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``189176
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``189305
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``189470
oDelta`1`n`(Symbol)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`189618
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``189723
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``189946
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``190260
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``190352
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``190411
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``190470
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``190529
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)``190657
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``190715
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``190773
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``190810
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``190896
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``190988
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``191071
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`191111
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`191198
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``191292
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``191383
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``191514
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``191604
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``191680
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``191731
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``191782
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``191833
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``191924
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``191985
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``192542
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``192584
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``192625
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``192704
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``192770
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)``192822
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``193227
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``193418
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``193517
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``193723
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``194146
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``194288
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``194724
oI`0`n`()->_$`dSKICombinators(UT)``194913
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``194952
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`195094
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`195349
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`195604
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)))`195886
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`195992
oK`0`n`()->_$`dSKICombinators(UT)``196098
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``196137
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``196228
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``196253
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``196278
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``196302
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``196447
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``196562
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``196652
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``196891
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``196976
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``197180
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``197239
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`197330
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``197463
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`197538
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``197655
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``197791
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``197869
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``197953
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``198165
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``198254
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``198337
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``198471
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``198595
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``198679
oNOT`1`n`(_$)->_$`dSwitch``198766
oNot`1`n`(_$)->_$`dIndexedBits(mn)``198853
oNot`1`x`(_$)->_$`dSingleInteger``198927
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``199020
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``199115
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``199198
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``199277
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``199369
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``199462
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``199485
oOMclose`1`x`(_$)->Void`dOpenMathDevice``199510
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``199587
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``199618
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``199650
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``199676
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``199758
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``199847
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``200042
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``200125
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``200201
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``200280
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``200355
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``200440
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``200512
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``200590
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``200671
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``200748
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``200835
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``200909
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``200983
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``201059
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``201131
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``201191
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``201256
oOMgetString`1`x`(_$)->String`dOpenMathDevice``201330
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``201392
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``201454
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``201533
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``201599
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``201670
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``201737
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``201761
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``202008
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``202135
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``202210
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``202288
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``202362
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``202446
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``202517
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``202594
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``202674
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``202750
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``202836
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``202909
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``202982
oOMputError`1`x`(_$)->Void`dOpenMathDevice``203057
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``203128
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``203203
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``203282
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``203355
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``203432
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``203540
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``203621
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``203712
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``203802
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``203893
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``204012
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``204101
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``204280
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``204419
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``204526
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``204673
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``204839
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``204947
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``205080
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``205308
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``205540
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``205633
oOr`2`x`(_$,_$)->_$`dSingleInteger``205723
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleCategory``205833
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->_$`cJetBundleCategory``205942
oP`1`n`(NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``206077
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleCategory``206308
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``206465
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``206646
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`206760
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`206874
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``206988
oPnan?`1`n`(_$)->Boolean`cSPointCategory``207082
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``207578
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPr`2`n`(PositiveInteger,List(PositiveInteger))->_$`cJetBundleCategory``207674
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``207771
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`207835
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``207897
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``208103
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``208406
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``208494
oSEGMENT`1`n`(_$)->_$`dOutputForm``208730
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``208792
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``208878
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``208945
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``209027
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``209188
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``209616
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``209764
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``209881
oS`0`n`()->_$`dSKICombinators(UT)``209978
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``210018
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``210103
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``210231
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``210425
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``210507
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``210565
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``210623
oShi`1`x`(_$)->_$`cLiouvillianFunctionCategory``210681
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``210811
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``211044
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``211360
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``211413
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``211466
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``211519
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``211643
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``211744
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``211970
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`212096
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``212399
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``212507
oT$`0`n`()->S`xLogic&(S)``0
oT$`0`n`()->_$`cBoundedMeetSemilattice``212802
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``212837
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``212899
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`0`n`()->_$`cJetBundleCategory``213002
oU`0`n`()->_$`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
oU`1`n`(PositiveInteger)->_$`cJetBundleCategory``213059
oU`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``213131
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``213174
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``213386
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``213412
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``213438
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``213463
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`0`n`()->_$`cJetBundleCategory``213504
oX`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->_$`cJetBundleCategory``213563
oX`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``213637
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``213705
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(_$,_$)->_$`cJoinSemilattice``213868
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``213929
o\/`2`x`(_$,_$)->_$`dSingleInteger``214044
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``214165
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`214221
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``214292
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,Integer)->_$`dFreeGroup(S)``214409
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,NonNegativeInteger)->_$`dFreeMonoid(S)``214487
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``214565
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``214673
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`214781
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`214863
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``214946
o^`2`n`(_$,Integer)->_$`dFreeDivisionAlgebra(VAR,F)``215014
o^`2`n`(_$,Integer)->_$`dInputForm``215052
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dIncidenceAlgebra(R,S)``215126
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``215245
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``215319
o^`2`n`(_$,PositiveInteger)->_$`cDistributionCategory(R)``215373
o^`2`n`(_$,PositiveInteger)->_$`dFreeDivisionAlgebra(VAR,F)``215530
o^`2`n`(_$,_$)->_$`dOutputForm``215568
o^`2`n`(_$,_$)->_$`dPattern(R)``215623
o^`2`n`(_$,_$)->_$`dSmallOrdinal``215677
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``215826
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`215926
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``216147
o^`2`x`(_$,Integer)->_$`cDivisionRing``216233
o^`2`x`(_$,Integer)->_$`cGroup``216306
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`216379
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`216526
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``216635
o^`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``216668
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`216768
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``216887
o^`2`x`(_$,PositiveInteger)->_$`cMagma``216958
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``217058
o^`2`x`(_$,_$)->_$`dCardinalNumber``217116
o_|_`0`n`()->S`xLogic&(S)``0
o_|_`0`n`()->_$`cBoundedJoinSemilattice``217225
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``217264
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``217317
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``217361
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``217413
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``217473
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``217620
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedRing&(S)``0
oabs`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``217697
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`217764
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`217893
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`217981
oabs`1`x`(_$)->_$`cOrderedRing``218065
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``218126
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``218187
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``218269
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218351
oacos`1`n`(F)->F`pElementaryFunction(R,F)``218440
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``218510
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218581
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``218652
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``218725
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``218800
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``218869
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219233
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``219324
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``219406
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219498
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219590
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219679
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``219770
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219840
oacot`1`n`(F)->F`pElementaryFunction(R,F)``219929
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``220002
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``220076
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``220150
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``220226
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``220304
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``220365
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``220456
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``220541
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``220636
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``220731
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``220823
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``220917
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``220990
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``221079
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``221151
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``221224
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``221297
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``221372
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``221449
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``221509
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``221600
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``221684
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``221778
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``221872
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``221963
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``222056
oadaptive3D?`0`n`()->Boolean`dPlot3D``222128
oadaptive?`0`n`()->Boolean`dPlot``222204
oadaptive`0`x`()->Boolean`pGraphicsDefaults``222277
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``222355
oadaptive`1`x`(Boolean)->_$`dDrawOption``222464
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``222645
oaddALS`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``222856
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(_$,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->_$`cFiniteGraph(S)``222996
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`cPoset(S)``223068
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(_$,String,NonNegativeInteger,NonNegativeInteger)->_$`cFiniteGraph(S)``223359
oaddArrow!`4`n`(_$,String,S,S)->_$`cFiniteGraph(S)``223569
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->_$`cFiniteGraph(S)``223753
oaddArrows2Din2D`5`n`(_$,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224014
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``224157
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``224305
oaddChild!`2`n`(_$,_$)->Void`dScene(PT)``224459
oaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``224554
oaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``224786
oaddColumnsRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``224929
oaddCube`2`n`(_$,CubicalFacet)->_$`dFiniteCubicalComplex(VS)``225106
oaddImpliedFaces`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``225230
oaddImpliedFaces`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``225531
oaddMIN`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``225838
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``225918
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``226297
oaddNode!`3`n`(_$,String,Scene(PT))->_$`dSceneNamedPoints(PT)``226539
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`(_$,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->_$`cFiniteGraph(S)``226600
oaddObject!`2`n`(_$,S)->_$`cFiniteGraph(S)``226694
oaddObject!`2`n`(_$,S)->_$`cPoset(S)``226906
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227116
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227245
oaddPlot1Din2Dparametric`4`n`(_$,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227374
oaddPlot1Din3Dparametric`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227525
oaddPlot1Din3Dparametric`4`n`(_$,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227678
oaddPlot2Din3D`5`n`(_$,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227829
oaddPlot2Din3Dparametric`5`n`(_$,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227964
oaddPlot2Din3Dparametric`5`n`(_$,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``228119
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``228274
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``228454
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``228758
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``228920
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``229703
oaddPoints!`3`n`(_$,String,_$)->_$`dSceneNamedPoints(PT)``230454
oaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``230519
oaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``230630
oaddRowsColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``230764
oaddSceneArrow`6`n`(_$,String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``230941
oaddSceneArrow`7`n`(_$,_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``231083
oaddSceneArrows`4`n`(_$,List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``231238
oaddSceneBox`2`n`(_$,DoubleFloat)->_$`dScene(PT)``231368
oaddSceneClip`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``231476
oaddSceneClip`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``231601
oaddSceneDef`3`n`(_$,String,_$)->_$`dScene(PT)``231709
oaddSceneGraph`5`n`(_$,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``231823
oaddSceneGrid`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``231959
oaddSceneGrid`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``232084
oaddSceneGrid`3`n`(_$,DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``232192
oaddSceneGrid`3`n`(_$,DoubleFloat,SBoundary(PT))->_$`dScene(PT)``232317
oaddSceneGroup`1`n`(_$)->_$`dScene(PT)``232437
oaddSceneIFS`2`n`(_$,SceneIFS(PT))->_$`dScene(PT)``232541
oaddSceneIFS`3`n`(_$,List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``232648
oaddSceneLine`2`n`(_$,List(PT))->_$`dScene(PT)``232762
oaddSceneLine`4`n`(_$,_$,_$,DoubleFloat)->_$`dScene(PT)``232872
oaddSceneLine`5`n`(_$,_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``232999
oaddSceneLines`2`n`(_$,List(List(PT)))->_$`dScene(PT)``233126
oaddSceneMaterial`2`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``233238
oaddSceneMaterial`4`n`(_$,DoubleFloat,String,String)->_$`dScene(PT)``233355
oaddSceneNamedPoints`2`n`(_$,SceneNamedPoints(PT))->_$`dScene(PT)``233492
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``233614
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``233739
oaddSceneRuler`4`n`(_$,Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``233870
oaddSceneRuler`4`n`(_$,Symbol,PT,SBoundary(PT))->_$`dScene(PT)``233995
oaddSceneShape`2`n`(_$,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``234124
oaddSceneShape`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``234237
oaddSceneText`2`n`(_$,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``234350
oaddSceneText`4`n`(_$,List(String),NonNegativeInteger,PT)->_$`dScene(PT)``234460
oaddSceneText`4`n`(_$,String,NonNegativeInteger,PT)->_$`dScene(PT)``234581
oaddSceneTransform`2`n`(_$,STransform(PT))->_$`dScene(PT)``234702
oaddSceneUse`2`n`(_$,String)->_$`dScene(PT)``234822
oaddSimplex`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``234929
oaddVertex2`2`n`(_$,Record(left:NonNegativeInteger,right:NonNegativeInteger))->_$`dProductFacet``235079
oaddVertex`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``235123
oaddWArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,W)->_$`dWeightedGraph(S,W)``235167
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``235431
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``235607
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``235672
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``235959
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``236064
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(_$)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``236149
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(_$)->_$`dPartialDifferentialOperator(R,Var)``236542
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`236609
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``236792
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`236852
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`236925
oadmissibleLinearSystem`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``237044
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237099
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``237198
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237287
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``237367
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237433
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``237532
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237611
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``237691
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:(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)``237757
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(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)``237887
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``237981
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)``238305
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``238630
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``238707
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``0
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)``238800
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``238985
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``239271
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``239389
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``239510
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``239697
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``239950
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``240005
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``240137
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``240268
oalgextint_base`3`n`((UP)->UP,(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``240397
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``240684
oalgextint`5`n`((UP)->UP,(List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Fraction(UP),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``240845
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``241157
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``241420
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``241605
oalgtower`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`x`(List(_$))->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`241708
oalgtower`1`x`(_$)->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`241962
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``242012
oallDegrees`1`x`(Boolean)->_$`dGuessOption``242143
oallIndices`1`n`(_$)->List(C)`dSparseEchelonMatrix(C,D)``242395
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``242500
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``242617
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``242734
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``242821
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``242908
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``242995
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``243082
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``243169
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``243256
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``243363
oallSimpleCells`2`n`(ThePols,Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``243523
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dCubicalFacet``243606
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dOrientedFacet``243708
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dCubicalFacet``243810
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dOrientedFacet``243913
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``244016
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``244116
oalphabetic?`1`x`(_$)->Boolean`dCharacter``244257
oalphabetic`0`x`()->_$`dCharacterClass``244372
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``244498
oalphanumeric`0`x`()->_$`dCharacterClass``244640
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``244770
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``245336
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``245728
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``245834
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``246084
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``246334
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``246741
oand`2`n`(_$,_$)->_$`dOutputForm``246840
oand`2`x`(_$,_$)->_$`cBitAggregate``246897
oand`2`x`(_$,_$)->_$`dBoolean``246990
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``247076
oangerJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``247136
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(_$,_$)->Boolean`cRng``247197
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``247291
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``247365
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``247560
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``247755
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``247916
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeSemiRng``248077
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``248138
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``248176
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`248248
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``248459
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`248670
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`248881
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`249459
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)`250055
oany`2`x`(SExpression,None)->_$`dAny``250355
oappend!`2`n`(_$,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``250541
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``250619
oappendRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``250816
oappendSupport!`2`n`(_$,List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``250909
oappend`2`n`(_$,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``250987
oappend`2`x`(_$,_$)->_$`dList(S)``251064
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``251223
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``251312
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``251371
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``251440
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``251519
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``251608
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``251847
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``251987
oapply_taylor`2`n`(Stream(Coef),_$)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``252050
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``252291
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``252355
oapply`2`n`(_$,Partition)->R`cSequenceCategory(R)``252432
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``252574
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``252842
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``252975
oapply`3`n`(_$,Integer,Integer)->R`dIncidenceAlgebra(R,S)``253136
oapply`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``253197
oapply`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``253274
oapply`3`n`(_$,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``253383
oapply`3`n`(_$,S,S)->R`dIncidenceAlgebra(R,S)``253492
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``253661
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``253779
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``253915
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``254038
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``254281
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``254492
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`254595
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``254730
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``254871
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``254968
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``255098
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`255325
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255418
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255558
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255715
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``257001
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``257056
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``257112
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``257219
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``257349
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``257481
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``257613
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``257690
oargument`1`n`(_$)->List(S)`cKernelCategory(S)``257768
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`257846
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``257921
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``258030
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``258150
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``258947
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`(_$,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``259115
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``259236
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``259288
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``259374
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``259476
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259562
oasec`1`n`(F)->F`pElementaryFunction(R,F)``259651
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259721
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259792
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259863
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``259936
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``260011
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``260069
oasech`1`n`(F)->F`pElementaryFunction(R,F)``260160
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``260242
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``260334
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``260426
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``260515
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``260606
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``260676
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261473
oasin`1`n`(F)->F`pElementaryFunction(R,F)``261562
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``261630
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261699
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261768
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261839
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``261912
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``261981
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``262343
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``262434
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``262514
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262604
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262694
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``262781
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``262870
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``262938
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``263089
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``263174
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``263259
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``263344
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``263429
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``263514
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``263599
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``263684
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``263769
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``263854
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``263939
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``264024
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``264109
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``264194
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``264279
oassign`2`n`(Symbol,String)->_$`dFortranCode``264364
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``264449
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``264534
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``264619
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``264704
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``264789
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``264874
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``264959
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``265044
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``265129
oassign`2`n`(_$,_$)->_$`dOutputForm``265214
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``265292
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``265466
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``265640
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``265814
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``265988
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``266162
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``266336
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`266495
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``266693
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cEntireRing``266842
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``266973
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``267053
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``267133
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`267482
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``267831
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``267901
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``267976
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``268028
oatan`1`n`(F)->F`pElementaryFunction(R,F)``268117
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)``268188
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``268260
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``268332
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``268406
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``268482
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``268551
oatan`2`x`(_$,_$)->_$`dDoubleFloat``268970
oatan`2`x`(_$,_$)->_$`dFloat``269057
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``269144
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``0
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``269235
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)``269318
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``269411
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``269504
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``269594
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``269686
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``269757
oatom?`1`n`(_$)->Boolean`dILogic``269846
oatom?`1`n`(_$)->Boolean`dLambda(UT)``269972
oatom?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``270125
oatom?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``270251
oatom?`1`n`(_$)->Boolean`dSKICombinators(UT)``270377
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``270503
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``270569
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``270635
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``270728
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271533
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271635
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271815
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271915
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduce`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``272347
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``272496
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``272671
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``272760
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``272871
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``273103
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``273354
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``273618
oback`1`x`(_$)->S`cQueueAggregate(S)``273860
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``274008
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``274046
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``274084
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``274216
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``274334
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``274524
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`274689
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`274921
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``275153
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``275229
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``275311
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``275884
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``276604
obase`0`n`()->PositiveInteger`dMachineFloat``276806
obase`0`x`()->PositiveInteger`cFloatingPointSystem``276857
obase`0`x`()->_$`cIntegerNumberSystem``276947
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``277035
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``277096
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``277158
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``277484
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``277671
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``277932
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``278091
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``278260
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278384
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``278564
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278745
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278927
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``279155
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``279280
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``279461
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`0`n`()->Vector(_$)`cFramedModule(R)``279644
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``279707
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``279805
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``279899
obasis`1`n`(_$)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``279983
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`280061
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`280152
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``280224
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``280536
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``280643
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``280693
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``280793
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``280937
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``281025
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``281105
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``281196
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``281257
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``281344
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`281431
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``281530
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``281624
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``281948
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``282107
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``282199
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``282414
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``282629
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``282710
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``282802
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``283008
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``283214
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``283286
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``283378
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``283777
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``284177
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``284259
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``284351
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``284753
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``285155
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`285228
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``285364
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`285472
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``285627
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``286018
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``286070
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``286170
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``286394
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``286512
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``286617
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``286751
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``286825
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``287155
obinary`2`n`(_$,List(_$))->_$`dInputForm``287485
obind`1`n`(_$)->_$`dLambda(UT)``287601
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(_$,CommutativeRing)`287692
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``287795
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``287972
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``288017
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``288151
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``288252
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``288460
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``288660
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``288953
obirth`1`n`(_$)->_$`dSubSpace(n,R)``289195
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``289232
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``289330
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``289437
obits`0`x`()->PositiveInteger`cFloatingPointSystem``289561
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`289626
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``289719
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``289792
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``289890
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``290051
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``290219
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(_$)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``290314
oblockElimination`5`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``290461
oblockElimination`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``290570
oblockElimination`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`290962
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``291316
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``291437
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``291558
oblockSplit`3`x`(_$,PositiveInteger,PositiveInteger)->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``291935
oblockStructure`1`n`(_$)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``292184
oblock`1`n`(List(_$))->_$`dFortranCode``292479
oblue`0`x`()->_$`dColor``292569
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``292644
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``292728
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``292822
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``292955
obooleanConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``292996
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``293112
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``293235
obooleanCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``293388
obooleanCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``293496
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``293602
obottom`1`x`(_$)->S`cDequeueAggregate(S)``293667
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`293748
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``293808
oboundary`1`n`(_$)->List(_$)`dCubicalFacet``294027
oboundary`1`n`(_$)->List(_$)`dOrientedFacet``294096
oboundary`1`n`(_$)->_$`dFiniteCubicalComplex(VS)``294165
oboundary`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``294383
oboundary`2`n`(_$,DoubleFloat)->SBoundary(PT)`dScene(PT)``294582
oboxBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``295471
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``295695
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(String)->_$`dOutputBox``295880
obox`1`n`(_$)->_$`dOutputForm``295950
obox`1`x`(_$)->_$`cExpressionSpace``295999
obrace`1`n`(List(_$))->_$`dOutputForm``296236
obrace`1`n`(_$)->_$`dOutputForm``296367
obracket`1`n`(List(_$))->_$`dOutputForm``296454
obracket`1`n`(_$)->_$`dOutputForm``296588
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``296669
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``296913
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)``297157
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)``297294
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297431
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297507
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``297586
obright`1`x`(Color)->_$`dPalette``297671
obright`1`x`(List(String))->List(String)`pDisplayPackage``297765
obright`1`x`(String)->List(String)`pDisplayPackage``297867
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``297956
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``298116
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``298413
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``298509
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``298646
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``298782
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``298940
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``299198
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`299721
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``299764
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``299812
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``299859
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``300030
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``300174
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300321
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300447
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300590
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300719
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300865
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300993
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301138
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301264
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301407
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301531
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301672
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301799
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301943
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302065
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302199
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302324
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302461
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302585
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302721
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302848
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302973
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303118
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303226
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303348
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303482
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303602
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303734
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303857
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``303992
ocall`1`n`(String)->_$`dFortranCode``304034
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``304109
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``304210
ocanonicalMoebiusFunction`1`n`(List(P))->_$`dGeneralizedFiniteMoebiusFunction(P,R)``304316
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``304395
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``304510
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``304566
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``304674
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``304905
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``305003
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``305131
ocartesian`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``305213
ocartesian`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``305673
ocartesian`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``305795
ocartesian`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``306220
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``306645
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``306709
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`306780
oceiling`1`x`(_$)->_$`cRealNumberSystem``306859
ocenter`1`n`(_$)->_$`dOutputForm``306922
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``306984
ocenter`2`n`(_$,Integer)->_$`dOutputForm``307071
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``307154
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``307440
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``307759
ochainComplex`1`n`(List(Matrix(Integer)))->_$`dChainComplex``307966
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``307985
ochain`1`n`(_$)->ChainComplex`dDeltaComplex(VS)``308096
ochain`1`n`(_$)->ChainComplex`dFiniteCubicalComplex(VS)``308179
ochain`1`n`(_$)->ChainComplex`dFiniteSimplicialComplex(VS)``308262
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``308458
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``308519
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``308676
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``308758
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``308864
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``308970
ocharClass`1`x`(List(Character))->_$`dCharacterClass``309110
ocharClass`1`x`(String)->_$`dCharacterClass``309229
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`309350
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``309446
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``309538
ochar`1`x`(Integer)->_$`dCharacter``309612
ochar`1`x`(String)->_$`dCharacter``309752
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``309833
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``309929
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``310038
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)``310141
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``310322
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``310495
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``310655
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``310804
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``310983
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``311154
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``311306
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``311594
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``311724
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``312103
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``312229
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``312911
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``312982
ocharlierC`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``313046
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``313110
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``313221
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`313339
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``313460
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``313586
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``313878
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``314070
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``314357
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``314544
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``314699
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``314892
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``315153
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``315432
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``315540
ocheckType`1`n`(String)->String`pFortranCodeTools``315662
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``315689
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``315750
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``316015
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``316303
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``316429
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``316465
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``316507
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`316548
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``316629
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)``316671
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``316711
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``316820
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``317065
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)``317273
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``317333
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``317537
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``317625
ochkLibraryError`0`n`()->Void`pUnittestCount``317745
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``317824
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``317862
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``317957
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``318356
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``318422
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``318536
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``318650
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``318770
oclassicalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``318881
oclassicalCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``319001
oclassicalCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``319113
oclearCache`0`n`()->Void`pSortedCache(S)``319218
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``319264
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``319448
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``319597
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``319781
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``319926
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``319998
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``320092
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``320161
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``320241
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``320309
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``320894
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``321111
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``321466
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``321855
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``321949
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``322114
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``322420
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``322764
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323035
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323312
oclip`1`x`(Boolean)->_$`dDrawOption``323596
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``323760
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323918
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``324233
oclose!`1`x`(_$)->_$`dLibrary``324311
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``324392
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``324860
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``325064
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``325272
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``325314
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``325353
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``325432
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``325562
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``325684
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``325728
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``325772
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``326008
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``326271
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``326617
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``327156
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``327436
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dFunctionGraph(S)``327560
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``327686
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``327727
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``327768
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``327809
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``327864
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``328466
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``328582
ocoChainComplex`1`n`(ChainComplex)->_$`dCoChainComplex(VS)``328698
ocoChainComplex`1`n`(List(Matrix(Integer)))->_$`dCoChainComplex(VS)``328742
ocoChain`1`n`(_$)->CoChainComplex(VS)`dDeltaComplex(VS)``328761
ocoChain`1`n`(_$)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``328844
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`329048
ocoHomology`1`n`(_$)->List(Homology)`dCoChainComplex(VS)``329119
ocoHomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``329167
ocoHomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``329217
ocoboundary`3`n`(_$,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``329369
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``329437
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``329551
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``329648
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``329689
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``329808
ocoef`2`x`(_$,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``329945
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``330030
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``330163
ocoefficient`2`n`(_$,JB)->D`dJetDifferential(JB,D)``330211
ocoefficient`2`n`(_$,JB)->D`dJetVectorField(JB,D)``330319
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``330414
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``330490
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``330684
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``330906
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``331076
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``331202
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``331278
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``331366
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``331583
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``331743
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``331893
ocoefficients`1`n`(A)->List(R)`xFreeModuleCategory&(A,R,S)``0
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(D)`dJetDifferential(JB,D)``331983
ocoefficients`1`n`(_$)->List(D)`dJetVectorField(JB,D)``332052
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``332119
ocoefficients`1`n`(_$)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``332460
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``332616
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``332692
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``332850
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``332913
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`333117
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`333438
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``333759
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``333886
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``334015
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``334145
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``334439
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``334572
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``334786
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``334904
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``335024
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
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)``335099
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))->_$`dSArgand``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``335186
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``335252
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``335318
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``335384
ocoerce`1`n`(D)->_$`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->_$`dJetLazyFunction(JB,D)``335450
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``335605
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``335648
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335689
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335730
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335771
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335812
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335853
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335894
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``335934
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``335974
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``336047
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``336087
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``336127
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``336167
ocoerce`1`n`(F)->_$`dFreeDivisionAlgebra(VAR,F)``336207
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``336343
ocoerce`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``336430
ocoerce`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``336472
ocoerce`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``336514
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``336556
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``336673
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``336790
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``336907
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``337024
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``337141
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``337182
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(FreeMonoid(VAR))->_$`dFreeDivisionAlgebra(VAR,F)``337244
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``337378
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`xFunctionSpace&(S,R)``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)->_$`cJetBundleFunctionCategory(JB)``337520
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``337602
ocoerce`1`n`(LatticeMeetOfJoins)->_$`dLatticeJoinOfMeets``338318
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``338377
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``338419
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``338541
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``338663
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``338785
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``338907
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``339029
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``339071
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``339342
ocoerce`1`n`(List(S))->_$`dDirectedGraph(S)``339810
ocoerce`1`n`(List(_$))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``339845
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``339917
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``339994
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``340081
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``340170
ocoerce`1`n`(OutputForm)->_$`dTexFormat``340260
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``340346
ocoerce`1`n`(PermutationGroup(S))->_$`dDirectedGraph(S)``340445
ocoerce`1`n`(PermutationGroup(S))->_$`dMultifunctionGraph(S)``340492
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``340584
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``340713
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
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`xFunctionSpace&(S,R)``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`(Record(index:IS,exponent:E))->_$`dModuleMonomial(IS,E,ff)``340774
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``340812
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``341004
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``341196
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``341388
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``341580
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``341772
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``341812
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)->Expression(Integer)`xJetBundleCategory&(S)``0
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`(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`xFunctionSpace&(S,R)``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`(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`xFunctionSpace&(S,R)``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`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``341850
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``341910
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``341979
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``342424
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``342744
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(_$)`dJetBundleLinearFunction(JB,D)``342826
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->_$`cSequenceCategory(R)``342874
ocoerce`1`n`(String)->_$`dFortranScalarType``342919
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``343208
ocoerce`1`n`(Symbol)->_$`dJetBundle(IVar,DVar)``343473
ocoerce`1`n`(Symbol)->_$`dJetBundleSymAna(JB1,xi,eta)``343629
ocoerce`1`n`(Symbol)->_$`dSwitch``343703
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``343743
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``343881
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``344019
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``344128
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``344193
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``344233
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``344322
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``344411
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``344513
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``344602
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``344691
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``344793
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``344856
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``345030
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``345107
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->_$`dFreeDivisionAlgebra(VAR,F)``345248
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``345389
ocoerce`1`n`(_$)->D`dJetLazyFunction(JB,D)``345454
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``345660
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``345712
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``345767
ocoerce`1`n`(_$)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``345807
ocoerce`1`n`(_$)->Float`dMachineFloat``345868
ocoerce`1`n`(_$)->FreeMagma(VarSet)`dLyndonWord(VarSet)``345938
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``346041
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``346169
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``346273
ocoerce`1`n`(_$)->LatticeMeetOfJoins`dLatticeJoinOfMeets``346424
ocoerce`1`n`(_$)->List(Integer)`dPartition``346483
ocoerce`1`n`(_$)->List(String)`dXmlElement``346551
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``346749
ocoerce`1`n`(_$)->Matrix(D)`dSparseEchelonMatrix(C,D)``346812
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``346889
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``347003
ocoerce`1`n`(_$)->OutputForm`cSPointCategory``347116
ocoerce`1`n`(_$)->OutputForm`dFortranCode``347130
ocoerce`1`n`(_$)->OutputForm`dFortranType``347192
ocoerce`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``347255
ocoerce`1`n`(_$)->OutputForm`dGraphImage``347396
ocoerce`1`n`(_$)->OutputForm`dJetDifferentialEquation(JB,D)``347558
ocoerce`1`n`(_$)->OutputForm`dLinearMultivariateMatrixPencil(R)``347656
ocoerce`1`n`(_$)->OutputForm`dSBoundary(PT)``347728
ocoerce`1`n`(_$)->OutputForm`dSTransform(PT)``347804
ocoerce`1`n`(_$)->OutputForm`dScene(PT)``347836
ocoerce`1`n`(_$)->OutputForm`dSceneIFS(PT)``348080
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``348144
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``348326
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``348384
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``348457
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``348495
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``348533
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``348571
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``348609
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->String`dFortranScalarType``348690
ocoerce`1`n`(_$)->String`dXmlAttribute``348768
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``348821
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``348889
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``348932
ocoerce`1`n`(_$)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``348989
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``349059
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``349132
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``349202
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``349275
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``349343
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``349426
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``349590
ocoerce`1`x`(Character)->_$`cStringAggregate``349748
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``349839
ocoerce`1`x`(Color)->_$`dPalette``349916
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``350020
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``350079
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``350164
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``350321
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``350772
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``351226
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``351293
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``351585
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`351735
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`351797
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``351859
ocoerce`1`x`(Integer)->_$`dOrdSetInts``351939
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``352009
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``352102
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``352426
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``352528
ocoerce`1`x`(List(Record(k:M,c:R)))->_$`cMonoidRingCategory(R,M)``352618
ocoerce`1`x`(List(S))->_$`dDataList(S)``352712
ocoerce`1`x`(List(S))->_$`dDatabase(S)``352769
ocoerce`1`x`(List(S))->_$`dPermutation(S)``352824
ocoerce`1`x`(List(S))->_$`dStream(S)``353052
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``353114
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``353204
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``353273
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``353399
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`353500
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``353562
ocoerce`1`x`(R)->_$`cAlgebra(R)``353648
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``353731
ocoerce`1`x`(R)->_$`cXAlgebra(R)``353821
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``353864
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``353930
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``354015
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``354118
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``354199
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``354426
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``354761
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``354857
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``354932
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``355066
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`355138
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``355200
ocoerce`1`x`(String)->_$`cFileNameCategory``355259
ocoerce`1`x`(String)->_$`dIndexCard``355369
ocoerce`1`x`(String)->_$`dSymbol``355525
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``355591
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``355823
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``355886
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``355974
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``356061
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``356138
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``356200
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``356289
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``356372
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``356579
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``356653
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``356728
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``356807
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``356881
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``356983
ocoerce`1`x`(_$)->List(S)`dDataList(S)``357054
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``357119
ocoerce`1`x`(_$)->OutputForm`dVoid``357204
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``357263
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``357347
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``357435
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``357527
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``357613
ocoerce`1`x`(_$)->String`cFileNameCategory``357679
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``357791
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``357829
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``357897
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``357965
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``358007
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``358152
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocolinearity`2`n`(_$,_$)->DoubleFloat`cSPointCategory``358959
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``359181
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``359305
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``359439
ocollect`1`n`(_$)->_$`dJetLazyFunction(JB,D)``359576
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``359669
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``359791
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``360106
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``360289
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``360503
ocolor`1`n`(Point(R))->R`pPointPackage(R)``360739
ocolor`1`x`(Integer)->_$`dColor``361052
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``361122
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``361239
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`361464
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`361581
ocolumnSpan`1`n`(_$)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``361699
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``361872
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``362001
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``362126
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``362228
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``362330
ocomment`1`n`(List(String))->_$`dFortranCode``362425
ocomment`1`n`(String)->_$`dFortranCode``362532
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``362634
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``362758
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``362865
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``362989
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``363092
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``363178
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``363262
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``363346
ocommutator`2`x`(_$,_$)->_$`cGroup``363427
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``363501
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``363558
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``363803
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``363853
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``364054
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``364239
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``364506
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``364545
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``364882
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``365075
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``365295
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``365454
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``365618
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``365829
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`dSubsetLattice(S,top)``366054
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`366079
ocomplement`2`n`(_$,List(S))->_$`dSubsetLattice(S,top)``366210
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``366235
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``366373
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`366665
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``366876
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``367269
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``367542
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``367752
ocompleteReflexivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteReflexivity`1`n`(_$)->_$`cPoset(S)``367921
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``368103
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``368300
ocompleteTransitivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteTransitivity`1`n`(_$)->_$`cPoset(S)``368515
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``368713
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``368891
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``369130
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``369277
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``369341
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``369490
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``369743
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``369785
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``369877
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``370112
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``370457
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``370604
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``370751
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``370937
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``371123
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``371219
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``371315
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``371379
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``371443
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`371568
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``371693
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``371790
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``371917
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``372044
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``372160
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``372276
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``372416
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`372556
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`372683
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`372810
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`372937
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`373064
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`373189
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`373316
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`373478
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`373640
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`373802
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`373934
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`374096
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`374258
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374335
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374412
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`374489
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`374566
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`374643
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`374720
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``374797
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`374874
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374986
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375098
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`375210
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`375322
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`375403
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`375515
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``375627
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``375739
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``375923
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``376235
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``376469
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``376685
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``376914
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``377132
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``377331
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``377466
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``377673
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``377732
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``378069
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``378567
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``378918
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``379159
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``379256
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(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`379464
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`379590
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``379699
ocompound`2`n`(_$,_$)->_$`dSTransform(PT)``380048
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``380106
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``380334
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``380519
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``380688
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``381098
oconcat!`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`1`x`(List(_$))->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`381142
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``381448
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`381538
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`381678
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``381816
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`381923
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``382013
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``382330
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``382469
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``382631
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``382821
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``382983
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``383242
ocond`2`n`(Switch,_$)->_$`dFortranCode``383411
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``383518
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(_$,CharacteristicNonZero)`383644
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``383913
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`383984
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``384160
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``384337
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`384514
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``384731
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``384949
ocone`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``385031
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``385256
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``385594
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`385758
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``385813
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`dPartition``385897
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``385980
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``386053
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``386128
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``386286
oconjugate`1`x`(_$)->_$`cSpecialFunctionCategory``386365
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``386427
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``386530
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``386638
oconsRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``386922
ocons`2`n`(R,_$)->_$`cSequenceCategory(R)``387013
ocons`2`x`(S,_$)->_$`dList(S)``387081
ocons`2`x`(S,_$)->_$`dStream(S)``387252
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``387406
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst?`1`n`(_$)->Boolean`cJetBundleFunctionCategory(JB)``387447
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``387521
oconst`1`n`(_$)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``387761
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``387894
oconstant?`1`n`(_$)->Boolean`dPattern(R)``387998
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``388075
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``388173
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``388245
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``388701
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``388746
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``388792
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``388895
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``389041
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``389156
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``389260
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``389486
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``389875
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``389939
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``390032
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``390196
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``390324
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->_$`cIndexedProductCategory(A,S)`has(S,Comparable)`390389
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``390811
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(k:S,c:A)))->_$`cIndexedProductCategory(A,S)``390910
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``391067
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``391226
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))->_$`dSplittingNode(V,C)``391328
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``391413
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``391713
oconstruct`1`x`(List(S))->_$`cCollection(S)``391768
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``392029
oconstruct`2`n`(A,B)->_$`dProduct(A,B)``392096
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``392191
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``392237
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``392310
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``392383
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``392477
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``392541
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``392627
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``392719
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``392792
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``392874
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``392946
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``393018
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``393142
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``393338
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``393509
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->_$`dDistribution(R)``393722
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``394019
ocontainsPoint?`2`n`(_$,PT)->Boolean`dSBoundary(PT)``394152
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``394307
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`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`394393
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`394483
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``394781
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``394877
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``394989
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``395101
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``395249
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``395493
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``395609
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``395725
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``395999
ocontract`2`n`(JetVectorField(JB,D),_$)->D`dJetDifferential(JB,D)``396297
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)``396401
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``396503
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``396864
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``397335
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``397578
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``397825
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)``398009
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->_$`dDistributedJetBundlePolynomial(R,JB,LJV,E)``398090
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``398224
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``398507
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``398790
oconvert`1`n`(List(_$))->_$`dPattern(R)``398891
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)->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`(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`xFunctionSpace&(S,R)``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`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``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)`xFunctionSpace&(S,R)``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`(S)->_$`cConvertibleFrom(S)``398978
oconvert`1`n`(SExpression)->_$`dInputForm``399036
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
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`n`(Vector(R))->_$`cFramedModule(R)``399096
oconvert`1`n`(_$)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``399247
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(_$)->Vector(R)`cFramedModule(R)``399381
oconvert`1`x`(DoubleFloat)->_$`dFloat``399491
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`399582
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``399758
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``399815
oconvert`1`x`(List(R))->_$`cPointCategory(R)``399872
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``399998
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``400097
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``400141
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`400185
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`400249
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``400313
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`400357
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cSegmentCategory(S)``400421
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``400479
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``400523
oconvert`1`x`(SquareMatrix(n,R))->_$`dLieSquareMatrix(n,R)``400583
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``400635
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``400692
oconvert`1`x`(Symbol)->_$`dRomanNumeral``400749
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``400819
oconvert`1`x`(_$)->S`cConvertibleTo(S)``400973
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``401040
oconvert`2`n`(OutputForm,Integer)->_$`cOutputFormatterCategory``401165
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``401294
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``401560
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``401857
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``401989
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``402023
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``402228
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``402444
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``402665
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``402882
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(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`n`(Vector(_$))->Matrix(R)`cFramedModule(R)``403042
ocoordinates`1`n`(_$)->Vector(R)`cFramedModule(R)``403268
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``403382
ocoordinates`2`n`(S,Vector(S))->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``403533
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)``403682
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``403841
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``404083
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``404310
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``404424
ocopies`2`x`(Integer,String)->String`pDisplayPackage``404583
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``404705
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``404778
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`404924
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``405048
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``405176
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`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``405353
ocopy`1`n`(_$)->_$`dJetDifferential(JB,D)``405413
ocopy`1`n`(_$)->_$`dJetDifferentialEquation(JB,D)``405482
ocopy`1`n`(_$)->_$`dJetVectorField(JB,D)``405547
ocopy`1`n`(_$)->_$`dLinearMultivariateMatrixPencil(R)``405614
ocopy`1`n`(_$)->_$`dPattern(R)``405682
ocopy`1`n`(_$)->_$`dSparseEchelonMatrix(C,D)``405742
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``405803
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``405853
ocopy`1`x`(_$)->_$`cAggregate``405889
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``406023
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``406071
ocopy`1`x`(_$)->_$`dBasicOperator``406164
ocopy`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``406216
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)``406301
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``406755
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``406853
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``406940
ocos`1`n`(E)->_$`dFourierComponent(E)``407190
ocos`1`n`(F)->F`pElementaryFunction(R,F)``407256
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``407317
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``407384
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``407451
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``407519
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``407589
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``407656
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``407709
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``407811
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``407900
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``407973
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``408056
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``408139
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``408219
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``408301
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``408370
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``408435
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``408533
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``408637
ocot`1`n`(F)->F`pElementaryFunction(R,F)``408724
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``408788
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``408858
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``408928
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``408999
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``409072
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``409128
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``409230
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``409339
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``409428
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``409504
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``409590
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``409676
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``409759
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``409844
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``409912
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`409980
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``410087
ocount`2`n`((Entry)->Boolean,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`((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`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``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`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`410157
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`410358
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``410529
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``410667
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``411062
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``411204
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``411346
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``411580
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411780
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``411941
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``412284
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``412492
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``412612
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`412905
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``413176
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``413310
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``413533
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``413770
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``414008
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``414607
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``415023
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``415617
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``416043
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``416247
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``416706
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``417285
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``417396
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``417546
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``417686
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``417798
ocreateSceneArrow`6`n`(_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``418757
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``420082
ocreateSceneBox`1`n`(DoubleFloat)->_$`dScene(PT)``421010
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``421122
ocreateSceneClip`1`n`(SBoundary(PT))->_$`dScene(PT)``421247
ocreateSceneDef`2`n`(String,_$)->_$`dScene(PT)``421379
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``421488
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``421580
ocreateSceneGrid`1`n`(SBoundary(PT))->_$`dScene(PT)``421705
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``421858
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->_$`dScene(PT)``421983
ocreateSceneGroup`0`n`()->_$`dScene(PT)``422164
ocreateSceneIFS`1`n`(SceneIFS(PT))->_$`dScene(PT)``422287
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``422447
ocreateSceneLine`1`n`(List(PT))->_$`dScene(PT)``422614
ocreateSceneLine`3`n`(_$,_$,DoubleFloat)->_$`dScene(PT)``422878
ocreateSceneLine`4`n`(_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``423502
ocreateSceneLines`1`n`(List(List(PT)))->_$`dScene(PT)``424250
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``424507
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->_$`dScene(PT)``424882
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->_$`dScene(PT)``425211
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``425379
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``425504
ocreateSceneRoot`0`n`()->_$`dScene(PT)``426037
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``426163
ocreateSceneRoot`1`n`(SBoundary(PT))->_$`dScene(PT)``426288
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->_$`dScene(PT)``426416
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``426570
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->_$`dScene(PT)``426695
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``426946
ocreateSceneShape`1`n`(SBoundary(PT))->_$`dScene(PT)``427082
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``427234
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->_$`dScene(PT)``427384
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->_$`dScene(PT)``427496
ocreateSceneTransform`1`n`(STransform(PT))->_$`dScene(PT)``427643
ocreateSceneUse`1`n`(String)->_$`dScene(PT)``427875
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``427947
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``428106
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``428232
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``428358
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``428497
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``428636
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``428775
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``428914
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``429338
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``429374
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``429408
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``429445
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``429484
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``429518
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``429556
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``429590
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``429629
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``429852
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`430005
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``430141
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``430350
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``430448
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``430542
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``430605
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``430674
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``430743
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``430813
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``430885
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``430940
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``431042
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``431131
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``431206
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``431291
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``431376
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``431458
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``431542
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``431609
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``431718
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``431834
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``431952
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``432006
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``432043
ocubicalComplex`1`n`(List(VS))->_$`dFiniteCubicalComplex(VS)``432095
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->_$`dFiniteCubicalComplex(VS)``432134
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->_$`dFiniteCubicalComplex(VS)``432182
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->_$`dFiniteCubicalComplex(VS)``432230
ocubicalFacet`2`n`(Integer,CubicalFacet)->_$`dCubicalFacet``432278
ocubicalFacet`2`n`(Integer,List(List(Integer)))->_$`dCubicalFacet``432323
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->_$`dCubicalFacet``432360
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``432541
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``432659
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``432853
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``432946
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``433051
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``433157
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``433252
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``433477
ocurveColor`1`x`(Float)->_$`dDrawOption``433706
ocurveColor`1`x`(Palette)->_$`dDrawOption``433849
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``434019
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``434106
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``434308
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``434547
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``434651
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``435021
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``435198
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->_$`cFiniteGraph(S)``435324
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``435578
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``435725
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``435860
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->_$`cFiniteGraph(S)``436000
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``436352
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``436495
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`436729
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``437110
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``437202
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``437429
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``437759
ocyclicGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``437815
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``437935
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``438124
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`438244
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``438875
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``438971
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``439135
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``439231
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``439327
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``439597
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``439663
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``439775
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``439869
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``440020
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``440092
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``440295
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``440395
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``440541
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``440681
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``440918
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetDifferential(JB,D)``441347
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odSubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``441420
odU`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``441592
odX`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``441653
od`1`n`(D)->_$`dJetDifferential(JB,D)``441714
od`1`n`(JB)->_$`dJetDifferential(JB,D)``441772
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``441831
odark`1`x`(Color)->_$`dPalette``441968
odatalist`1`x`(List(S))->_$`dDataList(S)``442067
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``442126
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``442418
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``442563
odebug`1`n`(Boolean)->Boolean`dPlot``442656
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``442743
odebug`1`x`(Boolean)->_$`dGuessOption``442851
odecFatal`0`n`()->Void`pUnittestCount``442991
odecXfFatal`0`n`()->Void`pUnittestCount``443102
odecXfPass`0`n`()->Void`pUnittestCount``443153
odec`1`x`(_$)->_$`cIntegerNumberSystem``443329
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``443372
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``443448
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``443575
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``443692
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``443792
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``443902
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``444048
odeclare`1`n`(List(_$))->Symbol`dInputForm``444193
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``444542
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`444781
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``444912
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``444996
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``445356
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`445564
odeductions`1`n`(List(_$))->List(_$)`dILogic``445704
odeductions`1`n`(List(_$))->List(_$)`dLatticeJoinOfMeets``446090
odeductions`1`n`(List(_$))->List(_$)`dLatticeMeetOfJoins``446476
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``446862
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``0
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``446902
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``446991
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``447138
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``447377
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``447469
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``447567
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``448042
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``448185
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``448326
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``448420
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`448522
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``448665
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`448777
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``448871
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``449036
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``449324
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``449493
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``449583
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``449633
odegree`1`n`(_$)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``449701
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``449788
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``449826
odegree`1`n`(_$)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``449894
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``449982
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``450151
odegree`1`x`(_$)->E`cGradedModule(R,E)``450238
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``450359
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``450442
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``450583
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``450710
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``450800
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``450890
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``451006
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``451094
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``451197
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``451386
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``451510
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``451593
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``451701
odegree`2`n`(_$,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``451841
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``451949
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``452131
odelay`1`x`(()->_$)->_$`dStream(S)``452581
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``452734
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``452822
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``452931
odeleteRow!`2`n`(_$,Integer)->Void`dSparseEchelonMatrix(C,D)``453095
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`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`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``453186
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``453354
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->_$`dDeltaComplex(VS)``453543
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->_$`dDeltaComplex(VS)``453638
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->_$`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->_$`dDeltaComplex(VS)``453738
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``453790
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``453859
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``454014
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``454244
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``454448
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``454772
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``454835
odenom`1`n`(_$)->R`dLocalize(M,R)``454894
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``454953
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``455026
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`455138
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``455250
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`455315
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``455397
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``455487
odepth`1`n`(_$)->NonNegativeInteger`dOutputBox``455689
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``455771
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``455833
odequeue`1`x`(List(S))->_$`dDequeue(S)``456026
oderef`1`n`(_$)->S`dReference(S)``456212
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``456267
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``456463
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`456546
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivativeOf?`2`n`(_$,_$)->List(NonNegativeInteger)`cJetBundleCategory``456634
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``456838
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``456964
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``457216
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``457556
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt)``457675
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``457760
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``457918
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``458076
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``458259
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``458487
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`458731
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`458809
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``458944
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`459079
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`459192
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``459269
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``459364
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``459558
odiagonal?`2`n`(_$,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``459752
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)`459817
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``459958
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``460063
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``460168
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``460719
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`460832
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``461058
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``461166
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``461275
odiagonal`2`n`(_$,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``461382
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``461463
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``461807
odiagramSvg2`3`n`(String,_$,Boolean)->Void`dUndirectedGraph(S)``461969
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``462310
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``462589
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(_$),Boolean)->Void`cFiniteGraph(S)``462749
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``463013
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->_$`cDictionaryOperations(S)``463096
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(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)``463213
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(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`(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)))`463328
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(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
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetVectorField(JB,D)``463452
odiffU`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``463543
odiffX`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``463622
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->_$`dJetVectorField(JB,D)``463701
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``463778
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`(_$,S)->_$`cSetAggregate(S)``463849
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``464081
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``464446
odifferentials`1`n`(_$)->List(JB)`dJetDifferential(JB,D)``464580
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``464682
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``464838
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``464905
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
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,S)->A`xPartialDifferentialRing&(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`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``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,(UP)->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`xFunctionSpace&(S,R)``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,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`xFunctionSpace&(S,R)``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`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``464972
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``465007
odifferentiate`2`n`(_$,JB)->_$`cJetBundleFunctionCategory(JB)``465110
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``465223
odifferentiate`2`n`(_$,PositiveInteger)->Union(_$,"0")`cJetBundleCategory``465407
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`465525
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``465612
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``465715
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``465818
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``465922
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``466025
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``466128
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``466232
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``466340
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``466450
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``466617
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``466701
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``466785
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``466869
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``466975
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
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,S,NonNegativeInteger)->A`xPartialDifferentialRing&(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,(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,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`xFunctionSpace&(S,R)``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,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`xFunctionSpace&(S,R)``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``467078
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``467113
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`467255
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``467442
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``467574
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)``467735
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``467878
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``467952
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``468074
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``468149
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``468224
odigit?`1`x`(_$)->Boolean`dCharacter``468347
odigit`0`x`()->_$`dCharacterClass``468444
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``468560
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``468637
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``468714
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`468811
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``468908
odihedralGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``468986
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``469100
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``469294
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``469408
odilate`2`n`(R,_$)->_$`cSequenceCategory(R)``469508
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``469606
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``469653
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``469694
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``469818
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``469915
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``470012
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``470124
odim`1`x`(Color)->_$`dPalette``470236
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``470328
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``470556
odimension`1`n`(_$)->NonNegativeInteger`dCell(TheField)``470614
odimension`1`n`(_$)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``470671
odimension`1`n`(_$)->PositiveInteger`cSPointCategory``470732
odimension`1`x`(_$)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``470834
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``470985
odimension`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``471066
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``471280
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimension`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``471387
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``471567
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``471632
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``472082
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``472536
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``472713
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``472844
odirectProduct`2`n`(_$,_$)->_$`dGroupPresentation``472981
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`473023
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``473220
odirectedGraph`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``473457
odirectedGraph`1`n`(List(Permutation(S)))->_$`dDirectedGraph(S)``473612
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dDirectedGraph(S)``473707
odirectedGraph`1`n`(List(S))->_$`dDirectedGraph(S)``473854
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dDirectedGraph(S)``474130
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dDirectedGraph(S)``474281
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dDirectedGraph(S)``474384
odirection`1`n`(String)->Integer`pToolsForSign(R)``474571
odirections`1`n`(_$)->List(JB)`dJetVectorField(JB,D)``474612
odirectory`1`x`(_$)->String`cFileNameCategory``474729
odisableAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``474801
odisableDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``474882
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``474946
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``475075
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``475175
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``475290
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``475434
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``475493
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``475552
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``475620
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`475724
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`475807
odispGenerators`1`n`(_$)->OutputForm`dHomology``475932
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``475976
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``476008
odisplayKind`1`x`(Symbol)->_$`dGuessOption``476202
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``476396
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``476426
odisplay`1`n`(String)->Void`dHTMLFormat``476556
odisplay`1`n`(String)->Void`dMathMLFormat``476619
odisplay`1`n`(String)->Void`dTexmacsFormat``476690
odisplay`1`n`(_$)->Void`cOutputFormatterCategory``476761
odisplay`1`n`(_$)->Void`dJetDifferentialEquation(JB,D)``476813
odisplay`1`n`(_$)->Void`dTexFormat``477161
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``477345
odisplay`1`x`(_$)->Void`dDatabase(S)``477467
odisplay`1`x`(_$)->Void`dIndexCard``477544
odisplay`2`n`(_$,Integer)->Void`dTexFormat``477630
odisplay`2`n`(_$,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``477772
odisplay`2`n`(_$,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``477894
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``477974
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``478203
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)``478440
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``478961
odistanceSquared`2`n`(_$,_$)->DoubleFloat`cSPointCategory``479494
odistanceWeighted`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``479758
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`n`(_$,_$)->DoubleFloat`cSPointCategory``479834
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``480127
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`(_$,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``480227
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:NonNegativeInteger)))`pDistinctDegreeFactorize(F,FP)``480431
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``480649
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``480977
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``481095
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``481334
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``481517
odistributionByBooleanCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``481752
odistributionByBooleanCumulants`1`x`(Stream(R))->_$`dDistribution(R)``481866
odistributionByClassicalCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``481980
odistributionByClassicalCumulants`1`x`(Stream(R))->_$`dDistribution(R)``482091
odistributionByEvenMoments`1`x`(Sequence(R))->_$`dDistribution(R)``482202
odistributionByEvenMoments`1`x`(Stream(R))->_$`dDistribution(R)``482327
odistributionByFreeCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``482452
odistributionByFreeCumulants`1`x`(Stream(R))->_$`dDistribution(R)``482560
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->_$`dDistribution(R)``482668
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->_$`dDistribution(R)``482796
odistributionByMoments`1`x`(Sequence(R))->_$`dDistribution(R)``482924
odistributionByMoments`1`x`(Stream(R))->_$`dDistribution(R)``483019
odistributionByMonotoneCumulants`1`x`(Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`483114
odistributionByMonotoneCumulants`1`x`(Stream(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`483230
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`483346
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``483463
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`483564
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``483681
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``483838
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``483866
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``484101
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``484443
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)``484585
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``484810
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``484923
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``485158
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``485244
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``485615
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))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486052
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486126
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486197
odivisor`3`n`(F,F,Integer)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`n`(R,UP,UP)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486312
odivisor`3`x`(R,UP,UP)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486490
odivisor`5`n`(R,UP,UP,UP,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``486710
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``487032
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``487102
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``487162
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``487222
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``487282
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``487371
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``487457
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``487699
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)``487764
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)``488139
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``488436
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``488472
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``488526
odom`1`x`(_$)->SExpression`dAny``488580
odomainOf`1`x`(_$)->OutputForm`dAny``488706
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``488830
odot`1`n`(_$)->_$`dOutputForm``489229
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``489290
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``489473
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`489554
odot`2`x`(_$,_$)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`489645
odouble?`1`n`(_$)->Boolean`dFortranScalarType``489800
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``489899
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``490019
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``490061
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``490136
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``490304
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``490494
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``490580
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``490803
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``491532
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``492381
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``492618
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``493040
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``493438
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``493524
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``493721
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``493807
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``493938
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``494088
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``494264
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``494407
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``494586
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``494762
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``494996
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``495194
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495448
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495672
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495910
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``496120
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``496436
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``496707
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``496976
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``497144
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497380
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``497649
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497978
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``498264
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``498617
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``498917
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499283
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499590
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``499907
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``500110
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``500474
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``500719
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``501107
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``501572
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``501630
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``501679
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``501733
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``501814
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``501901
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``502104
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``502129
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``502286
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``502327
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``502585
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`502730
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`502807
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``502884
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``503114
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``503245
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`503376
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)`503727
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)``504075
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``504484
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``504653
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``504812
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``504936
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``505086
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``505170
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``505270
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``505379
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``505503
oelimZeroCols!`1`n`(_$)->Void`dSparseEchelonMatrix(C,D)``505595
oeliminationEquations`11`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`505731
oeliminationEquations`11`n`(_$,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)`505988
oeliminationEquations`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`506309
oeliminationGroebner`11`n`(_$,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)`506493
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`506782
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`506879
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`507032
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`507336
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`507541
oeliminationTransformations`5`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`507755
oeliminationTransformations`6`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`508007
oeliminationTransformations`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`508180
oellipseBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``508456
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``508695
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``508972
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``509124
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``509204
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``509285
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``509365
oellipticE`1`x`(_$)->_$`cSpecialFunctionCategory``509446
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``509599
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`509763
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``509866
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``509954
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``510042
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``510130
oellipticE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``510218
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``510383
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`510547
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``510650
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``510737
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``510824
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``510911
oellipticF`2`x`(_$,_$)->_$`cSpecialFunctionCategory``510998
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``511163
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``511314
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``511401
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``511481
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``511566
oellipticK`1`x`(_$)->_$`cSpecialFunctionCategory``511646
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``511798
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`511985
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``512095
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``512188
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``512281
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``512374
oellipticPi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``512467
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``512655
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``512768
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``512881
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513014
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``513147
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513280
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``513413
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513583
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``513732
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``513858
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``513984
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`10`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``514210
oelt`1`n`(_$)->S`dReference(S)``514423
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``514473
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,"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,"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`(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,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`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``514534
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``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`(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`n`(_$,Integer)->R`cSequenceCategory(R)``514613
oelt`2`n`(_$,List(_$))->_$`dOutputForm``514686
oelt`2`n`(_$,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``514788
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``514867
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``514928
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``515095
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`515195
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`515333
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``515484
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``515552
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``515649
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``515743
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``515837
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``515931
oelt`2`x`(_$,"sort")->_$`dDataList(S)``516028
oelt`2`x`(_$,"unique")->_$`dDataList(S)``516118
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``516228
oelt`2`x`(_$,D)->I`cEltable(D,I)``516325
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``516486
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``516598
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``516754
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``516877
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``516941
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``517009
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``517096
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``517192
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``517330
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``517414
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``517499
oelt`2`x`(_$,Symbol)->Any`dLibrary``517588
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``517721
oelt`2`x`(_$,Symbol)->String`dIndexCard``517805
oelt`2`x`(_$,_$)->_$`cStringAggregate``517997
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`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
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`n`(_$,Integer,C)->D`dSparseEchelonMatrix(C,D)``518213
oelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``518340
oelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``518457
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``518545
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``518676
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``518812
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``518960
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``519087
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``519222
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``519390
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``519564
oelt`3`x`(_$,Integer,List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``519633
oelt`3`x`(_$,Integer,List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``519917
oelt`3`x`(_$,List(Integer),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``520124
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``520408
oelt`3`x`(_$,List(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``520785
oelt`3`x`(_$,List(Segment(Integer)),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``520927
oelt`3`x`(_$,List(Segment(Integer)),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``521134
oelt`3`x`(_$,List(Segment(Integer)),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``521333
oelt`3`x`(_$,Segment(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``521531
oelt`3`x`(_$,Segment(Integer),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``521673
oelt`3`x`(_$,Segment(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``521871
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``522013
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``522141
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``522221
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``522382
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``522456
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``522675
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``522892
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``523080
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`6`x`(BasicOperator,_$,_$,_$,_$,_$)->_$`cExpressionSpace``523159
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`7`x`(BasicOperator,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``523304
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`8`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``523466
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`9`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``523645
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``523841
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``523945
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`n`(_$)->Boolean`cFacetCategory``524003
oempty?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``524071
oempty?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``524099
oempty?`1`n`(_$)->Boolean`dOutputBox``524127
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``524215
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``524339
oempty?`1`n`(_$)->Boolean`dXmlElement``524428
oempty?`1`x`(_$)->Boolean`cAggregate``524515
oemptyLattice`0`n`()->_$`dLatticeJoinOfMeets``524573
oemptyLattice`0`n`()->_$`dLatticeMeetOfJoins``524607
oempty`0`n`()->_$`dOutputBox``524641
oempty`0`n`()->_$`dOutputForm``524679
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``524724
oempty`0`n`()->_$`dSplittingNode(V,C)``524784
oempty`0`n`()->_$`dSymbolTable``524873
oempty`0`n`()->_$`dTheSymbolTable``524931
oempty`0`x`()->_$`cAggregate``524990
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``525182
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``525248
oenableAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``525346
oenableDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``525425
oendOfFile?`1`x`(_$)->Boolean`dTextFile``525487
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``525660
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``525755
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``525844
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``526039
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``526298
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(NonNegativeInteger)`dLoop``526516
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``526586
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))`526688
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``526780
oenumerate`0`x`()->List(_$)`cFinite``526876
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``526939
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``527220
oepilogue`1`n`(_$)->List(String)`dTexFormat``527501
oepilogue`1`n`(_$)->OutputBox`dFormatter(F)``527581
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``527751
oeqRep?`2`n`(_$,_$)->Boolean`dJetLazyFunction(JB,D)``527826
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``528027
oequal?`4`n`(_$,List(NonNegativeInteger),_$,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``528119
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``528293
oequation`2`x`(S,S)->_$`dEquation(S)``528597
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``528649
oequation`2`x`(Symbol,String)->_$`dQueryEquation``528824
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``528880
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``528928
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``528976
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``529024
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``529177
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``529230
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``529283
oerfi`1`x`(_$)->_$`cLiouvillianFunctionCategory``529336
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``529389
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``529462
oerror`1`x`(List(String))->Exit`pErrorFunctions``529542
oerror`1`x`(String)->Exit`pErrorFunctions``529619
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``529694
oerror`2`x`(String,String)->Exit`pErrorFunctions``529858
oescape`0`x`()->_$`dCharacter``530026
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``530167
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``530324
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``530659
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``530966
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`(_$)->NonNegativeInteger`cEuclideanDomain``531151
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`531262
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``531353
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``531569
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``531891
oeval1`1`n`(_$)->_$`dJetLazyFunction(JB,D)``532044
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``532156
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``532297
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``532496
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``532716
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``532953
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``533127
oeval`1`n`(_$)->_$`dJetLazyFunction(JB,D)``533315
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``533422
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``533492
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``533720
oeval`2`n`(_$,D)->D`dJetVectorField(JB,D)``533867
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``533954
oeval`2`n`(_$,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``534106
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``534199
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``534351
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``534499
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``534619
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``534882
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`534983
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``535104
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``535178
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`535276
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``535380
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`535470
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`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Kernel(S),S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Kernel(S),S)->S`xFunctionSpace&(S,R)``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`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``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(S),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace&(S,R)``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(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(Symbol),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``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,S,S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace&(S,R)``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,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``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)``535555
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``535637
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``535870
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``535955
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``536030
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``536181
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``536285
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``536394
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``536595
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``536747
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``536948
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``537100
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``537223
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``537374
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``537478
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`537553
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`537697
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`537889
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`538107
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`538283
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`538436
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``538547
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``538599
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``538723
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``538957
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``539194
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``539378
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`539705
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``539774
oeven?`1`x`(_$)->Boolean`dPermutation(S)``539850
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``539981
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``540133
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``540457
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`540838
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``541154
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``541196
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``541238
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`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`541280
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`541368
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`541455
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`541643
oexists?`1`x`(_$)->Boolean`cFileNameCategory``541831
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``541901
oexp1`0`x`()->_$`dDoubleFloat``542100
oexp1`0`x`()->_$`dFloat``542173
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``542233
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``542320
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``542782
oexp`1`n`(F)->F`pElementaryFunction(R,F)``543084
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``543150
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``543208
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``543282
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``543358
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``543434
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``543507
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``543582
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``543649
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``543712
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`543803
oexpa`1`n`(_$)->IntegerMod(n)`dDihedralGroup(n,a,b)``543899
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``543991
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``544157
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)))`544270
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``544651
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``544713
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``545119
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``545375
oexpand`1`x`(_$)->R`dFactored(R)``545564
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``545777
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``545879
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``545991
oexpb`1`n`(_$)->IntegerMod(2)`dDihedralGroup(n,a,b)``546103
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)``546204
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``546460
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)``546552
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``546773
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``546913
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``547078
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``547280
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``547417
oexponent`1`n`(_$)->Integer`dCyclicGroup(n,g)``547457
oexponent`1`n`(_$)->Integer`dInfiniteCyclicGroup(g)``547534
oexponent`1`n`(_$)->Integer`dMachineFloat``547611
oexponent`1`n`(_$)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``547670
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``547829
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``547883
oexponenta`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``547983
oexponentb`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``548091
oexponential1`0`n`()->Float`pRandomFloatDistributions``548208
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``548251
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``548363
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``548406
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``548542
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)``548703
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)``550771
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)``552839
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)``553037
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)``553235
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)``553608
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)``553981
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)``556036
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``558091
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``558407
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``558473
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``558680
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``558742
oexprex`1`n`(OutputForm)->String`dHTMLFormat``558779
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``558854
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``558976
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)``559037
oexquo`2`n`(_$,_$)->_$`dOutputForm``559175
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`559238
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`559378
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`559498
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`559648
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`559798
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cEntireRing``559924
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``560055
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``560197
oextendToPoint`2`n`(_$,PT)->_$`dSBoundary(PT)``560755
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``560916
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``561017
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``561182
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``561281
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``561578
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``561681
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``561918
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``562002
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``562182
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``562230
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``562326
oextendedALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``562619
oextendedCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``562730
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``562803
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``563190
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``563404
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``563750
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`563961
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`564124
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`564311
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``564482
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)``564785
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``565098
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)``565322
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``565579
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``565650
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``565791
oextension`1`x`(_$)->String`cFileNameCategory``565862
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``565929
oexternal?`1`n`(_$)->Boolean`dFortranType``566076
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``566162
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``566251
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``566334
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``566471
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``566705
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``566776
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``566904
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``567063
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``567214
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`1`n`(SparseEchelonMatrix(JB,_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``567357
oextractSymbol`2`n`(_$,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``567443
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``567638
oextract`3`n`(_$,Integer,Integer)->_$`dSparseEchelonMatrix(C,D)``567770
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``567882
ofaceMap`2`n`(_$,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``568083
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`568338
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`568446
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``568623
ofactorFraction`1`x`(_$)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`568851
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``568951
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``569097
ofactorList`1`x`(_$)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``569338
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``569434
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``569491
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``569628
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``569714
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``569894
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``570037
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``570280
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``570639
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``570757
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``570874
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``571156
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``571352
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``571464
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``571608
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``571718
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``572001
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``572247
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``572589
ofactor`1`n`(FreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``572903
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``572983
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`573058
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``573114
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``573211
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``573343
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``573418
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)``573509
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``573819
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`0
ofactor`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``573900
ofactor`1`n`(_$)->List(_$)`dILogic``574079
ofactor`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``574420
ofactor`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``574761
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``575102
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``575204
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``575292
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``575389
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``575510
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``575594
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``575779
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``576003
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``576115
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``576182
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``576263
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``576387
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``576496
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``576645
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``576808
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``577040
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``577238
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``577399
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``577639
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``577779
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``578000
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)``578160
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``578191
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``578448
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``578677
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``578993
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``579086
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``579240
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``579405
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``579509
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``579613
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``579741
ofactorizationEquations`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``579869
ofactorizationGroebner`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``579969
ofactorizationSolve`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``580068
ofactorizationTransformations`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``580283
ofactorize`2`n`(_$,NonNegativeInteger)->List(_$)`dFreeDivisionAlgebra(VAR,F)``580395
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``580543
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``580629
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``580743
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``580840
ofactors`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``580937
ofactors`1`x`(_$)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``581067
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``581359
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``581438
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``581500
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``581562
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``581609
ofalse`0`x`()->_$`cLogic``581656
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``581699
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``581783
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``582616
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``582775
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``582936
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``583265
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`583520
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``583647
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``583713
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``583772
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``583852
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``584033
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``584109
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``584293
ofindNode`2`n`(_$,String)->Scene(PT)`dSceneNamedPoints(PT)``584372
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``584427
ofindPoint`2`n`(_$,String)->PT`dSceneNamedPoints(PT)``584645
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``584729
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``584861
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``584991
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``585105
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``585159
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``585213
ofiniteLattice`1`n`(NonNegativeInteger)->_$`dFiniteLattice(S,p)``585300
ofiniteLattice`1`n`(S)->_$`dFiniteLattice(S,p)``585351
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->_$`cPoset(S)``585403
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`cPoset(S)``585514
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`585574
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`585788
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``586002
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``586121
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`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->A`dProduct(A,B)``586440
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``586502
ofirst`1`n`(_$)->S`dFreeMonoid(S)``586576
ofirst`1`n`(_$)->VarSet`dFreeMagma(VarSet)``586637
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`586706
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``586871
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``586981
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cSequenceCategory(R)``587133
ofirst`2`x`(_$,NonNegativeInteger)->_$`cLinearAggregate(S)``587212
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``587351
ofirstn`2`n`(_$,NonNegativeInteger)->List(R)`cSequenceCategory(R)``587438
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``587512
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``587600
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``587850
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`587974
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``588057
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(_$))->_$`cFiniteGraph(S)``588235
oflatten`1`n`(_$)->_$`dInputForm``588427
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``588667
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``588886
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``589105
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``589196
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``589284
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``589420
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``589479
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`589538
ofloor`1`x`(_$)->_$`cRealNumberSystem``589614
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``589677
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(_$,E,R,_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`589769
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``589852
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``589981
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(List(_$),PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DSys:List(_$),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``590127
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(_$,PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DPhi:_$,JVars:List(JB))`cJetBundleFunctionCategory(JB)``590233
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(List(_$),PositiveInteger)->List(_$)`cJetBundleFunctionCategory(JB)``590512
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(_$,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``590660
oformalDiff`2`n`(_$,PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``590770
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``590902
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``590978
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``591054
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``591283
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``591512
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``591601
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``591690
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``592312
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``592934
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``593051
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``593168
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``593252
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``593336
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``593387
oformatStep`2`n`(OutputForm,Integer)->_$`dFormatter(F)``593438
oformatString`1`n`(String)->OutputBox`cFormatterCategory``593553
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``593601
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``593649
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``593697
oformat`1`n`(OutputForm)->_$`dFormatter(F)``593745
oformat`1`n`(_$)->OutputBox`dFormatter(F)``593829
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``593908
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``593965
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``594014
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``594065
ofortranCharacter`0`n`()->_$`dFortranType``594167
ofortranComplex`0`n`()->_$`dFortranType``594247
ofortranDoubleComplex`0`n`()->_$`dFortranType``594323
ofortranDouble`0`n`()->_$`dFortranType``594412
ofortranInteger`0`n`()->_$`dFortranType``594496
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``594572
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``594694
ofortranLogical`0`n`()->_$`dFortranType``594779
ofortranReal`0`n`()->_$`dFortranType``594855
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``594925
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``594999
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``595183
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``595222
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``595313
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``595524
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`595618
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``595725
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``595806
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``595888
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``595974
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`596055
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``596182
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``596252
ofractionalTerms`1`x`(_$)->List(Record(num:R,den:Factored(R)))`dPartialFraction(R)``596495
ofree?`1`n`(_$)->Boolean`dLambda(UT)``596681
ofreeConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``596783
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``596893
ofreeCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``597010
ofreeCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``597112
ofreeMultiplicativeConvolution`2`x`(_$,_$)->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`597212
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,JB)->Boolean`cJetBundleFunctionCategory(JB)``597357
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``597453
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``597555
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``597685
ofreeVariable?`2`n`(_$,UT)->Boolean`dSKICombinators(UT)``597785
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``597902
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``597966
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``598030
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``598094
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``598208
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``598272
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``598336
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``598400
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`598514
ofront`1`x`(_$)->S`cQueueAggregate(S)``598600
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`598750
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``598847
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``599032
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``599087
ofullDisplay`1`x`(_$)->Void`dIndexCard``599165
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``599249
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``599372
ofunctionGraph`1`n`(List(Permutation(S)))->_$`dFunctionGraph(S)``599541
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``599593
ofunctionGraph`1`n`(List(S))->_$`dFunctionGraph(S)``599697
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))))->_$`dFunctionGraph(S)``599969
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``600084
ofunctionName`1`x`(Symbol)->_$`dGuessOption``600215
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``600403
ofunctionNames`1`x`(List(Symbol))->_$`dGuessOption``600545
ofunction`2`n`(Symbol,List(_$))->_$`dJetBundleXExpression(JB)``600702
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``600801
ofunction`3`n`(Symbol,List(_$),NonNegativeInteger)->_$`dJetBundleExpression(JB)``600872
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``601041
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``601171
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``601278
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``601355
ofundamentalGroup`1`n`(_$)->GroupPresentation`dDeltaComplex(VS)``601441
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteCubicalComplex(VS)``601506
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteSimplicialComplex(VS)``601991
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``602513
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``602578
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``603104
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``603667
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``603711
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``603872
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``604077
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``604170
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``604439
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``604520
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``604586
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``604662
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``604831
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``605000
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``605084
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``605211
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``605330
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``605432
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``605543
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``605654
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``605733
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``605817
ogcd`1`x`(List(_$))->_$`cGcdDomain``605901
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``605990
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``606086
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`606182
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`606257
ogcd`2`x`(_$,_$)->_$`cGcdDomain``606347
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``606435
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``606550
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``606661
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``606764
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``606910
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``607042
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``607143
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``607247
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``607345
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)``607449
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``607480
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``607542
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)``607735
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``607948
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)``608027
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``608058
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``608437
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``608612
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``609457
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``609907
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``610110
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``610312
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``610543
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``610727
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``610876
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``611090
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``611191
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``611309
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)``611494
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``611679
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``611959
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`612239
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)`612341
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``612467
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`612627
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->_$`dGeneralizedFiniteMoebiusFunction(P,R)``612871
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``612956
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`dCyclicGroup(n,g)``613090
ogenerator`0`n`()->_$`dInfiniteCyclicGroup(g)``613139
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`613188
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``613327
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``613392
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``613484
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``613570
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``613634
ogenerator`3`x`(_$,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``613777
ogenerators`0`n`()->List(_$)`cFinitelyGenerated``614091
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``614150
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``614231
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``614306
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`614381
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`614715
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`614860
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`615133
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`615281
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``615523
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`615669
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`616004
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`616154
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`616394
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`616547
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``616754
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``616924
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``617091
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``617295
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``617467
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``617632
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``617861
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``617941
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``618021
ogetArr`1`n`(_$)->List(List(Boolean))`cPoset(S)``618062
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrowIndex`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``618217
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`(_$)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``618312
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``618383
ogetBoundValue`1`n`(_$)->NonNegativeInteger`dLambda(UT)``618524
ogetCentre`1`n`(_$)->PT`dSBoundary(PT)``618606
ogetChildren`1`n`(_$)->List(_$)`dILogic``618705
ogetChildren`1`n`(_$)->List(_$)`dLambda(UT)``618780
ogetChildren`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``618902
ogetChildren`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``618977
ogetChildren`1`n`(_$)->List(_$)`dSKICombinators(UT)``619052
ogetCode`1`n`(_$)->List(String)`dFortranCode``619127
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``619264
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``619408
ogetDialect`0`n`()->Symbol`dTexFormat``619667
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``619726
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``619847
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``619925
ogetIndexesSigned`1`n`(_$)->List(Integer)`dOrientedFacet``620171
ogetIndexes`1`n`(_$)->List(NonNegativeInteger)`dOrientedFacet``620232
ogetIndexs`1`n`(_$)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``620263
ogetIntervals`1`n`(_$)->List(Segment(Integer))`dCubicalFacet``620291
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``620347
ogetMaxLeft`1`n`(_$)->NonNegativeInteger`dProductFacet``620508
ogetMaxRight`1`n`(_$)->NonNegativeInteger`dProductFacet``620542
ogetMax`1`n`(_$)->PT`dSBoundary(PT)``620577
ogetMin`1`n`(_$)->PT`dSBoundary(PT)``620670
ogetMult`1`n`(_$)->Integer`cFacetCategory``620763
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``620797
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``620891
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``620985
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``621079
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``621256
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``621433
ogetName`1`n`(_$)->String`cVarCat``621610
ogetNames`1`n`(_$)->List(String)`dSceneNamedPoints(PT)``621651
ogetNotation`0`n`()->Symbol`cJetBundleCategory``621715
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``621778
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``621972
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``622275
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`622391
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``622518
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``622567
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``622656
ogetType`1`n`(_$)->ILogic`cVarCat``622729
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``622930
ogetVariable`1`n`(_$)->UT`dLambda(UT)``623137
ogetVariable`1`n`(_$)->UT`dSKICombinators(UT)``623247
ogetVert`1`n`(_$)->List(S)`cPoset(S)``623325
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(_$,S)->NonNegativeInteger`cFiniteGraph(S)``623510
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(_$)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``623602
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``623702
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``623840
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``623969
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)``624107
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``624249
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``624324
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``624393
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``624512
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``624577
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``624804
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``624866
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``624948
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``625018
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``625074
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``625150
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``625214
ogotoJump`1`n`(SingleInteger)->_$`dFortranCode``625403
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``625482
ograde`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``625539
ograde`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``625711
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``625961
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``626081
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``626270
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``626427
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``626599
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``626763
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``626989
ographImage`0`n`()->_$`dGraphImage``627420
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``627605
ographStates`1`n`(_$)->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``628692
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``628953
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``629293
ogreen`0`x`()->_$`dColor``629466
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``629543
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``629840
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``629877
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``629972
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``630464
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``631042
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``631649
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``632348
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``632560
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``632684
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``632900
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``633007
ogroebner`1`n`(List(_$))->List(_$)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`633226
ogroebner`1`n`(List(_$))->List(_$)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`633341
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``633468
ogroebner`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``633592
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``633698
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``634153
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`dJetBundleLinearFunction(JB,D)``634541
oground?`1`n`(_$)->Boolean`dJetLazyFunction(JB,D)``634645
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``634740
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``634831
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(_$)->_$`dJetBundleLinearFunction(JB,D)``634901
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``634962
oground`1`x`(_$)->R`cFunctionSpace(R)``635040
ogroupPresentation`0`n`()->_$`dGroupPresentation``635167
ogroupPresentation`1`n`(List(NonNegativeInteger))->_$`dGroupPresentation``635230
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->_$`dGroupPresentation``635291
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635338
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`635568
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635773
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635967
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636205
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636395
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636691
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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)))`636964
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``637203
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`637419
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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)``637658
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``637874
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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)))`638090
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``638321
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`638514
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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)``638745
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``638950
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``639155
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``639384
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``639577
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`639881
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``640083
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``640371
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`640644
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``640910
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``641167
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``641500
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``641765
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`642047
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642319
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642565
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`642753
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642917
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643069
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643262
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643420
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(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(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643716
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(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
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``643979
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``644014
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`644076
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`644220
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`644364
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`644520
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`644698
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`644854
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)``645032
ohandler`3`n`(_$,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``645099
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``645252
ohankelDeterminants`1`n`(_$)->Stream(R)`cDistributionCategory(R)``645360
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``645468
ohankelH1`2`x`(_$,_$)->_$`cSpecialFunctionCategory``645560
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``645653
ohankelH2`2`x`(_$,_$)->_$`cSpecialFunctionCategory``645750
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``645848
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``646022
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``646277
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``646517
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``646695
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``646803
ohasDimension?`1`n`(_$)->Boolean`dSimpleCell(TheField,ThePols)``646884
ohasDimension?`2`n`(_$,Symbol)->Boolean`dCell(TheField)``647056
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``647201
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``647279
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``647359
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``647451
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``647543
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``647622
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`x`(HashState,_$)->HashState`cSetCategory``647761
ohash`1`n`(A)->SingleInteger`xFiniteGraph&(A,S)``0
ohash`1`n`(A)->SingleInteger`xPoset&(A,S)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``647950
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``648009
ohcenter`1`n`(NonNegativeInteger)->(_$)->_$`dOutputBox``648254
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``648345
ohconcat`1`n`(List(_$))->_$`dOutputBox``648523
ohconcat`1`n`(List(_$))->_$`dOutputForm``648643
ohconcat`2`n`(_$,_$)->_$`dOutputForm``648722
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``648806
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``648985
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``649074
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``649162
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``649399
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``649601
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`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``649768
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``649899
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``650026
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`650130
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``650375
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``650491
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``650708
oheap`1`x`(List(S))->_$`dHeap(S)``650831
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``650922
oheight`1`n`(_$)->NonNegativeInteger`cKernelCategory(S)``651029
oheight`1`n`(_$)->NonNegativeInteger`dOutputBox``651092
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``651200
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``651494
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``651815
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``651849
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``651906
ohermiteH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``652071
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``652128
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``652399
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``652480
ohexDigit?`1`x`(_$)->Boolean`dCharacter``652668
ohexDigit`0`x`()->_$`dCharacterClass``652802
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``652924
ohigh`1`x`(_$)->S`cSegmentCategory(S)``653000
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``653092
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``653186
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``653368
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``653458
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``653568
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``653699
ohomology0`0`n`()->_$`dHomology``654058
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->_$`dHomology``654119
ohomology`1`n`(_$)->List(Homology)`dChainComplex``654293
ohomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``654341
ohomology`1`n`(_$)->List(Homology)`dFiniteCubicalComplex(VS)``654389
ohomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``654437
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->_$`dHomology``654601
ohomologyc2`0`n`()->_$`dHomology``654629
ohomologyz`0`n`()->_$`dHomology``654694
ohomologyzc2`0`n`()->_$`dHomology``654758
ohomologyzz`0`n`()->_$`dHomology``654825
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``654891
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``655028
ohorizJoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``655259
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(_$,C)->Record(Left:_$,Right:_$)`dSparseEchelonMatrix(C,D)``655427
ohorizSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``655626
ohorizSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``655835
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``655988
ohspace`1`n`(Integer)->_$`dOutputForm``656106
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``656169
ohue`1`n`(Point(R))->R`pPointPackage(R)``656270
ohue`1`x`(_$)->Color`dPalette``656593
ohue`1`x`(_$)->Integer`dColor``656671
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``656747
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``656883
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`657019
ohypergeometricF`3`x`(List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`657107
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``657196
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``657259
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``657317
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``657380
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``657438
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``657655
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``657837
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``657897
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``657929
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``658227
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``658310
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``658415
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``658493
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``658660
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``658760
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``658917
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`659098
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``659189
oidentity`0`n`()->_$`dSTransform(PT)``659248
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``659332
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``659386
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``659450
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`659514
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`659578
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``659642
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``659803
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``659867
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``659926
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``659990
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660049
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660109
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660169
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660229
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660289
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``660346
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``660404
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``660472
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``660537
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``660593
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``660649
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``660706
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``660762
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``660819
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``660875
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``660932
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``660988
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``661045
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``661101
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``661158
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``661214
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``661271
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661329
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``661391
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``661446
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``661502
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``661557
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``661613
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``661668
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661724
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``661784
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``661842
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``661899
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``661954
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``662011
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``662066
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``662105
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``662162
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``662224
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``662280
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``662319
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``662374
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``662430
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``662485
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``662541
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``662597
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``662653
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``662708
oimagE`1`x`(_$)->R`cOctonionCategory(R)``662764
oimagI`1`x`(_$)->R`cOctonionCategory(R)``662846
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``662928
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``663012
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``663094
oimagK`1`x`(_$)->R`cOctonionCategory(R)``663178
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``663260
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``663344
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``663443
oimag`1`x`(_$)->R`cComplexCategory(R)``663542
oimagi`1`x`(_$)->R`cOctonionCategory(R)``663600
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``663672
oimagj`1`x`(_$)->R`cOctonionCategory(R)``663730
oimagk`1`x`(_$)->R`cOctonionCategory(R)``663802
oimplies`2`n`(_$,_$)->_$`dILogic``663874
oimplies`2`x`(_$,_$)->_$`dBoolean``664123
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``664219
oinBounds?`3`n`(_$,_$,_$)->Boolean`cSPointCategory``664309
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``664455
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``664556
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``664663
oinR?`1`n`(_$)->Boolean`dPattern(R)``665062
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``665157
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``665268
oincFatal`1`n`(String)->Void`pUnittestCount``665388
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``665493
oincPass`0`n`()->Void`pUnittestCount``665610
oincXfFail`0`n`()->Void`pUnittestCount``665688
oincXfFatal`1`n`(String)->Void`pUnittestCount``665779
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``665830
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``665890
oinc`1`x`(_$)->_$`cIntegerNumberSystem``666043
oincidenceAlgebra`2`n`(Matrix(R),List(S))->_$`dIncidenceAlgebra(R,S)``666086
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->_$`dIncidenceAlgebra(R,S)``666198
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``666310
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``666624
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``666809
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``666994
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`667149
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``667279
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``667472
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``667660
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``667842
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``667875
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``667957
oindexName`1`x`(Symbol)->_$`dGuessOption``668068
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(_$,NonNegativeInteger)->S`cPoset(S)``668207
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
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`n`(_$)->IS`dModuleMonomial(IS,E,ff)``668250
oindex`1`n`(_$)->PositiveInteger`cJetBundleCategory``668287
oindex`1`x`(PositiveInteger)->_$`cFinite``668356
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``668604
oindexes`1`n`(_$)->List(List(NonNegativeInteger))`dSceneIFS(PT)``668706
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``668774
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``668932
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``669022
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``669093
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``669190
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``669290
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``669390
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``669486
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``669582
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``669816
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``670050
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``670318
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``670586
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`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``670767
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``670865
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``670963
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``671144
oinf`1`x`(_$)->R`cIntervalCategory(R)``671270
oinf`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``671324
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``671430
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``671566
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``671703
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``671761
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``671835
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``671983
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``672096
oinfinity`0`x`()->_$`dOnePointCompletion(R)``672139
oinfix?`1`n`(_$)->Boolean`dOutputForm``672182
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``672292
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``672436
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``672524
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``672830
oinfsum`1`n`(Stream(_$))->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``673136
oini_rdata`2`n`(U32Vector,Integer)->List(Record(ind:NonNegativeInteger,poly:U32Vector))`pModularFactorization``673278
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``673494
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``673549
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``673610
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->_$`cFiniteGraph(S)``673803
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``673870
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``674022
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``674462
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``674919
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``675167
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``675379
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`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``675622
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``675824
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``675961
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``676129
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)``676231
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``676547
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``676660
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``676786
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)``677140
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``677224
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``677338
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``677560
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``677626
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``677723
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``677794
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``677894
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``677993
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``678095
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``678206
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``678318
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``678448
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``678614
oinsertRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dFreeDivisionAlgebra(VAR,F)``678717
oinsertRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``678953
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``679274
oinsert`2`n`(List(D),_$)->_$`dJetDifferentialEquation(JB,D)``679510
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`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`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``679613
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``679804
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`680014
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``680057
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``680108
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``680173
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``680289
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``680404
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``680550
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``680642
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``680682
oint`1`n`(_$)->_$`dOutputForm``680794
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``680880
oint`2`n`(_$,_$)->_$`dOutputForm``680965
oint`3`n`(_$,_$,_$)->_$`dOutputForm``681081
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``681238
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``681279
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``681334
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``681386
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``681477
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``681569
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``681663
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``681746
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``681892
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``682038
ointegerPart`1`n`(_$)->NonNegativeInteger`dSmallOrdinal``682142
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``682250
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``682366
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``682460
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``682584
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``682651
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``682726
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``682818
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``682913
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``683001
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``683087
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``683945
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``684803
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``685653
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``686511
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``686583
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``686794
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``687139
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``687255
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``687484
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``687709
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``687881
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``688095
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``688191
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``688323
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`688412
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``688508
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``688649
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrateIfCan`2`n`(_$,PositiveInteger)->Union(_$,"failed")`cJetBundleCategory``688731
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``688856
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``688938
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``689386
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`689455
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`689644
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`689827
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`689944
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``690208
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(_$,PositiveInteger)->_$`cJetBundleCategory``690313
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateSeriesWithRationalExponents(Coef,Expon)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`690444
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`690577
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`690766
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`690955
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`691149
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`691338
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`691527
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``691721
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``691885
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``692000
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``692164
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`692328
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``692443
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`692574
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`692738
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`692968
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`693157
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``693313
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``693714
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``694115
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`694516
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``694672
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``694725
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``694923
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``695221
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``695262
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``695427
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``695539
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``695669
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)``695799
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``695905
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``696011
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``696094
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``696220
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``696346
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``696431
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``696550
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``696684
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``696923
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``697162
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``697423
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``697679
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``697797
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``697915
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``697965
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``698352
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``698531
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``698586
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``698697
ointerpret`1`n`(_$)->Any`dInputForm``698821
ointersect`1`x`(List(_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``698884
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`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``698971
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``699078
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``699256
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``699339
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``699420
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``699691
ointersection`1`n`(List(_$))->_$`dSBoundary(PT)``699786
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``699952
ointerval`1`x`(R)->_$`cIntervalCategory(R)``700018
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``700084
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``700172
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``700315
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``700437
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``700509
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``700544
oinv`1`x`(_$)->_$`cDivisionRing``700579
oinv`1`x`(_$)->_$`cGroup``700672
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`700726
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`700793
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``700862
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``701568
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``701804
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``702033
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``702243
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``702373
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``702441
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``702603
oinverse`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``702823
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`702877
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`703030
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`703192
oinvertALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``703324
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`703451
oinvertIfCan`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,IntegralDomain)`703526
oinvertMIN`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``703692
oinvertSTD`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``703872
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``704028
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``704150
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``704371
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``704568
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``704748
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``704841
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``704958
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``705090
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``705236
oiprint`1`n`(String)->Void`pInternalPrintPackage``705291
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``705370
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`705451
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``705514
oirreducibleFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``705598
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`705761
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``706033
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``706388
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``706614
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`cKernelCategory(S)``706892
ois?`2`n`(_$,Symbol)->Boolean`cKernelCategory(S)``706960
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``707041
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``707168
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``707260
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``707344
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``707445
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`707516
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`707652
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(_$)->Boolean`cFiniteGraph(S)``708142
oisAntiChain?`1`n`(_$)->Boolean`cPoset(S)``708212
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisAntisymmetric?`1`n`(_$)->Boolean`cPoset(S)``708316
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``708457
oisBoundNode?`1`n`(_$)->Boolean`dLambda(UT)``708535
oisBox?`1`n`(_$)->Boolean`dSBoundary(PT)``708606
oisChain?`1`n`(_$)->Boolean`cPoset(S)``708685
oisCompound?`1`n`(_$)->Boolean`dLambda(UT)``708787
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``708877
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``709042
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``709162
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(_$)->Boolean`dSBoundary(PT)``709282
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``709363
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``709470
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`709582
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`709667
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`709780
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`709892
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(_$,NonNegativeInteger)->Boolean`cFiniteGraph(S)``710002
oisFreeNode?`1`n`(_$)->Boolean`dLambda(UT)``710081
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(_$)->Boolean`cFiniteGraph(S)``710154
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``710317
oisI?`1`n`(_$)->Boolean`dSKICombinators(UT)``710519
oisK?`1`n`(_$)->Boolean`dSKICombinators(UT)``710585
oisLambda?`1`n`(_$)->Boolean`dLambda(UT)``710650
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``710723
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`710835
oisNodeBranch?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``710922
oisNodeLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``710994
oisNull?`1`n`(_$)->Boolean`dSBoundary(PT)``711086
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``711181
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``711305
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``711427
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``711559
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`711702
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``711803
oisPoint?`1`n`(_$)->Boolean`cSPointCategory``711959
oisPointLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``712056
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``712177
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``712285
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`712381
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``712467
oisS?`1`n`(_$)->Boolean`dSKICombinators(UT)``712566
oisSubsetOf?`2`n`(_$,_$)->Boolean`dOrientedFacet``712631
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``712757
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``712879
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`713009
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`713109
oisVector?`1`n`(_$)->Boolean`cSPointCategory``713408
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``713503
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``713617
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``713800
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``713877
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``714029
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``714176
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``714346
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``714463
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``714527
ojacobiCn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``714591
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``714762
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``714934
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``715051
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``715115
ojacobiDn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``715179
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``715352
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``715562
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``715772
ojacobiMatrix`1`n`(_$)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``715872
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(_$),List(List(JB)))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``715975
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``716204
ojacobiP`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``716269
ojacobiParameters`1`n`(_$)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`716334
ojacobiParameters`1`n`(_$)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`716447
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``716560
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``716738
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``716881
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``716998
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``717062
ojacobiSn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``717126
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``717270
ojacobiTheta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``717353
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``717436
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``717638
ojacobiZeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``717699
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``717901
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``718185
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``718384
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``718472
ojetVariables`1`n`(_$)->List(JB)`cJetBundleFunctionCategory(JB)``718709
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``718818
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``718891
ojoin`1`n`(List(_$))->_$`dLatticeJoinOfMeets``719120
ojoin`1`n`(List(_$))->_$`dLatticeMeetOfJoins``719158
ojoin`2`n`(_$,_$)->_$`dJetDifferentialEquation(JB,D)``719196
ojoin`2`n`(_$,_$)->_$`dOrientedFacet``719297
ojoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``719444
ojoin`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``719526
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``719683
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``719975
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``720267
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``720627
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`720987
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``721087
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``721256
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``721615
okelvinBei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``721792
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``721970
okelvinBer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``722147
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722325
okelvinKei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``722519
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722714
okelvinKer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``722908
okernel`1`n`(Symbol)->_$`cKernelCategory(S)``723103
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``723164
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``723271
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`cKernelCategory(S)``723355
okernels`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``723556
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``723754
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``723920
okey`1`n`(_$)->Integer`dGraphImage``723993
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``724124
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``724282
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``724444
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->_$`cFiniteGraph(S)``724510
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``724829
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``724869
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``724937
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``725011
oknownHandler?`3`n`(_$,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``725098
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``725417
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``725464
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``725788
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``726222
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``726243
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``726264
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`726459
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`726664
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``726831
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``726965
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)``727061
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``727101
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``727223
okummerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``727290
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``727360
okummerU`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``727427
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``727497
olabel`2`n`(_$,_$)->_$`dOutputForm``727606
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``727682
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``727812
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``727966
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``728140
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``728204
olaguerreL`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``728355
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``728419
olambda`1`n`(NonNegativeInteger)->_$`dLambda(UT)``728699
olambda`1`n`(UT)->_$`dLambda(UT)``728773
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``728822
olambda`2`n`(_$,UT)->_$`dLambda(UT)``729005
olambda`2`n`(_$,_$)->_$`dLambda(UT)``729081
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``729132
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``729228
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``729299
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``729359
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``729419
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``729479
olambertW`1`x`(_$)->_$`cSpecialFunctionCategory``729539
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``729650
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``729670
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``729690
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``729710
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``729730
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``729750
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``729770
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``729790
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``729810
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``729830
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``729850
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``729870
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``729890
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``730199
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``730566
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``730916
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``730937
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``730958
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``730979
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``731000
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``731021
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``731042
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``731314
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``731865
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`732010
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``732180
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``732342
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``732701
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`732857
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``733061
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`733165
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``733402
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`(_$)->S`cDoublyLinkedAggregate(S)``734094
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``734209
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``734321
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``734472
olatex`1`n`(A)->String`xFiniteGraph&(A,S)``0
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``734612
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeJoinOfMeets``734696
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeMeetOfJoins``734740
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``734784
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``734939
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``735074
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``735257
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``735327
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``735460
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``735575
olaurent`2`x`(Integer,Stream(Coef))->_$`cUnivariateLaurentSeriesCategory(Coef)``735820
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``736007
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``736067
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``736266
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``736440
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`736641
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``736834
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``737002
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`737279
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`737359
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``737456
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`737565
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``737993
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``738133
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)``738283
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)``738427
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``738586
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``738811
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``739095
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``739325
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``739534
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``739768
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``739895
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``740135
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``740424
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`740663
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``740793
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcmCoef`2`n`(_$,_$)->Record(llcm_res:_$,coeff1:_$,coeff2:_$)`cLeftOreRing``740831
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``741044
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``741137
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``741223
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``741355
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``741623
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``741736
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
ole`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
ole`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``742017
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``742227
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``742401
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``742504
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``742602
oleadingCoefficient`1`n`(A)->R`xFreeModuleCategory&(A,R,S)``0
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`742960
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``743143
oleadingCoefficient`1`n`(_$)->R`cSolvableSkewPolynomialCategory(R,Expon)``743244
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``743344
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``743450
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``743500
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``743547
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``743644
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingDer`1`n`(_$)->JB`cJetBundleFunctionCategory(JB)``743797
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``743932
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``743979
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``744092
oleadingMonomial`1`n`(A)->A`xFreeModuleCategory&(A,R,S)``0
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``744136
oleadingMonomial`1`n`(_$)->_$`cIndexedProductCategory(A,S)`has(S,Comparable)`744183
oleadingMonomial`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``744318
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``744409
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingSupport`1`n`(_$)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`744492
oleadingTerm`1`n`(_$)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`744661
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``744814
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``744851
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``744912
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``745167
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``745441
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xUnaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``745560
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``745634
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``745860
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``746086
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``746244
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``746614
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``746984
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`747297
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`747505
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`747760
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`747887
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``748008
oleftFactor`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``748248
oleftFamily`1`n`(_$)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``748401
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`748462
oleftIdentity`1`n`(_$)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``748701
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`748765
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`748967
oleftMinimization`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``749201
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``749379
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``749507
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`749605
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`749662
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``749719
oleftPower`2`x`(_$,PositiveInteger)->_$`cMagma``749913
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`750107
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`750301
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``750397
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`750636
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``750875
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`751041
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``751261
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``751450
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)``751622
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`751926
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``752121
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``752317
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``752601
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``752885
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``753099
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``753192
oleftTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`753372
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`753540
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``753665
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`753788
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`753912
oleft_ext_GCD`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Union(Record(g:XDistributedPolynomial(vl,F),c1:XDistributedPolynomial(vl,F),c2:XDistributedPolynomial(vl,F),cu:XDistributedPolynomial(vl,F),cv:XDistributedPolynomial(vl,F)),"failed")`pXPolynomialFactor(vl,F)``0
oleft`1`n`(_$)->_$`dFreeMagma(VarSet)``753969
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``754099
oleft`1`n`(_$)->_$`dOutputForm``754230
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``754297
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``754370
oleft`2`n`(_$,Integer)->_$`dOutputForm``754416
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`754504
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``754673
olegendreP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``754746
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``754820
olegendreQ`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``754893
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``754967
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``755243
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``755599
olength`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``755710
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``755766
olength`1`n`(_$)->PositiveInteger`dFreeMagma(VarSet)``755858
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``755925
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`755992
olength`1`x`(_$)->_$`cIntegerNumberSystem``756103
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``756157
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``756191
olerchPhi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``756253
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``756316
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``756420
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``756499
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``756703
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``756840
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``757074
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``757263
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``757893
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``758270
olexico`2`n`(_$,_$)->Boolean`dFreeMagma(VarSet)``758337
olexico`2`n`(_$,_$)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`758640
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``758810
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``758980
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``759145
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``759218
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``759445
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``759500
olhs`1`x`(_$)->S`dEquation(S)``759570
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``759644
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``759691
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``759758
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``759818
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``759878
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``759938
olibrary`1`x`(FileName)->_$`dLibrary``760067
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``760121
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``760328
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``760535
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``760865
olie`2`n`(JetVectorField(JB,D),_$)->_$`dJetDifferential(JB,D)``761195
olie`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``761291
olift1`9`n`(FreeMonoid(vl),XDistributedPolynomial(vl,Polynomial(F)),Integer,FreeMonoid(vl),XDistributedPolynomial(vl,Polynomial(F)),Integer,F,XDistributedPolynomial(vl,Polynomial(F)),Boolean)->Record(l_fac:XDistributedPolynomial(vl,Polynomial(F)),r_fac:XDistributedPolynomial(vl,Polynomial(F)),residual:XDistributedPolynomial(vl,Polynomial(F)),nsym:Union(Symbol,"none"))`pXPolynomialFactor(vl,F)``761429
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``761506
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``761598
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``761634
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``761736
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)``761777
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)``761812
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)`762340
olight`1`x`(Color)->_$`dPalette``762643
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``762735
olimitPart`1`n`(_$)->_$`dSmallOrdinal``763005
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``763149
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``763224
olimit`2`n`(_$,NonNegativeInteger)->Loop`dFunctionGraph(S)``763301
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``763442
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``763529
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``763656
olimit`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``763783
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``763924
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``764127
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``764398
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``764436
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``764583
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``764846
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``765061
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``765276
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``765491
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``765706
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``765930
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``766145
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``766360
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``766513
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``766617
olineIntersect`2`n`(_$,PT)->PT`dSBoundary(PT)``766743
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``767004
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``767058
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`767185
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`767860
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)`768014
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`768254
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``768410
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``768668
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``768915
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``769151
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``769304
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`769445
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``769573
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``769741
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``769990
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``770028
olinearization`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``770071
olinearization`1`n`(_$)->Matrix(_$)`dFreeDivisionAlgebra(VAR,F)``770149
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``770305
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``770440
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``770602
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``770784
olines`1`n`(_$)->List(String)`dOutputBox``770955
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``771075
olink`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``771117
olink`2`n`(_$,_$)->List(PT)`dSBoundary(PT)``771246
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``771490
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``771565
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``771646
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``771762
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)``771878
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``772130
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``772247
olistOfLists`1`x`(_$)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``772336
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``772424
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``772500
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``772582
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``772681
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``772759
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``772985
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``773353
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``773822
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``773886
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``773955
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``774225
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``774483
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``774739
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``774940
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``775141
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``776028
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``776921
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``777806
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``778699
olog10`0`x`()->_$`dFloat``778759
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``778827
olog10`1`x`(_$)->_$`dDoubleFloat``778905
olog10`1`x`(_$)->_$`dFloat``778978
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``779049
olog2`0`x`()->_$`dFloat``779255
olog2`1`x`(_$)->_$`dDoubleFloat``779341
olog2`1`x`(_$)->_$`dFloat``779412
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``779481
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``779642
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``779707
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``779772
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``0
olog`1`n`(F)->F`pElementaryFunction(R,F)``779859
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``779923
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)``780079
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``780137
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``780195
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``780266
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``780339
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``780395
olog`1`x`(_$)->_$`cElementaryFunctionCategory``780462
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``780705
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`780794
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``780888
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``781087
ologicF`0`n`()->_$`dILogic``781325
ologicF`0`n`()->_$`dLatticeJoinOfMeets``781384
ologicF`0`n`()->_$`dLatticeMeetOfJoins``781451
ologicT`0`n`()->_$`dILogic``781518
ologicT`0`n`()->_$`dLatticeJoinOfMeets``781560
ologicT`0`n`()->_$`dLatticeMeetOfJoins``781603
ological?`1`n`(_$)->Boolean`dFortranScalarType``781646
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``781738
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``781818
olommelS1`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``781888
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``781959
olommelS2`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``782029
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``782100
olookup`1`x`(_$)->PositiveInteger`cFinite``782173
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``782261
oloop`1`n`(List(NonNegativeInteger))->_$`dLoop``782737
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(_$)->List(Loop)`cFiniteGraph(S)``782814
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(_$,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``783173
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(_$)->List(Loop)`cFiniteGraph(S)``783281
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)``783441
olow`1`x`(_$)->S`cSegmentCategory(S)``783837
olowerCase!`1`x`(_$)->_$`cStringAggregate``783926
olowerCase?`1`x`(_$)->Boolean`dCharacter``784030
olowerCase`0`x`()->_$`dCharacterClass``784141
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``784265
olowerCase`1`x`(_$)->_$`dCharacter``784346
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``784517
olowerSet`1`n`(_$)->_$`cPoset(S)``784669
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``784811
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``785107
olquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``785309
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``785393
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``785587
olquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``785671
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``785764
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``785848
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``785945
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``786156
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``786216
olyndon`1`n`(FreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``786282
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``786385
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``786456
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``786527
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``786645
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``786739
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`787020
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``787229
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``787340
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``787414
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``787584
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``787787
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`788055
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`788277
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``788502
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``788609
omainVariableOf`1`n`(_$)->Symbol`dCell(TheField)``788733
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``788799
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``788958
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``789158
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``789317
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->_$`dCell(TheField)``789461
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),_$)->_$`dCell(TheField)``789539
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``789665
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``789754
omakeDisjoint`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``789791
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``789917
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``790037
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``790356
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->_$`dFactored(R)``790463
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``790562
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``790824
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``791152
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``791390
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``791847
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``792367
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``792451
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``792735
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``793019
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``793340
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``793572
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``793925
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``794202
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``794503
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``794742
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``795082
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``795359
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``795646
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``795999
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``796419
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``796791
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``797224
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``797600
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``797989
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``798200
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``798631
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``799091
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``799623
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``800124
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``800314
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``800401
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``800528
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``800649
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``800738
omakeSystem`1`n`(List(D))->_$`dJetDifferentialEquation(JB,D)``801639
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``801716
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``801851
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``801918
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`802241
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``802569
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``802711
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``802933
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``803283
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``803509
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``803845
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``804090
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``804374
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``804427
omantissa`1`n`(_$)->Integer`dMachineFloat``804515
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``804574
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`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``804639
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`804735
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``804835
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapContra`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``804949
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``805081
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``805525
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``806123
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``806210
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``806297
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``806384
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``806513
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``806598
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``806683
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``806768
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``806940
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``807106
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``807211
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``807316
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``807641
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``808116
omap`2`n`((A)->A,_$)->_$`cIndexedProductCategory(A,S)``808305
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``808455
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``808595
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->_$`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)``808704
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,_$)->_$`dAntiSymm(R,lVar)``808746
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``808841
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``808940
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``809075
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``809199
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`((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`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``809295
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``809335
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``809477
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``809597
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``809693
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``809877
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``810064
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``810226
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``810401
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``810508
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``810725
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``810867
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``811028
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``811068
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``811108
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``811148
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``811270
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``811379
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``811488
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``811530
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``811639
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)``811680
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``811722
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``811764
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``811859
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``811970
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``812076
omap`2`x`((R)->R,_$)->_$`dFactored(R)``812175
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``812452
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``812551
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``812745
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``812828
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``812915
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``813190
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``813370
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``813461
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``813577
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``813750
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``813790
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``814079
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``814203
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``814350
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`814443
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``814674
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``814744
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``814823
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``814958
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`815093
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``815184
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``815291
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``815373
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``815415
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``815457
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``815546
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``815642
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``815738
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``815778
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``815858
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``815954
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``816117
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``816279
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``816371
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``816596
omap`2`x`((S)->S,_$)->_$`dEquation(S)``816767
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``816864
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``816947
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``817076
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)``817181
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)``817322
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``817631
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``817676
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``817721
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``818158
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``818203
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``818476
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``818725
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``818846
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``819000
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``819124
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``819334
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``819508
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omap`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``819870
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``820272
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`820367
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``820465
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``820564
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``820631
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``820822
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``821228
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``821603
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``821967
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``822345
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``822739
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``823118
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``823210
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``823453
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``823545
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``823785
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``823877
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``824118
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``824210
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``824451
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``824543
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``824784
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``824886
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``824955
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``825134
omatrix`1`n`(_$)->Matrix(R)`dIncidenceAlgebra(R,S)``825244
omatrix`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``825324
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``825391
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``825537
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``825683
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``825767
omatrix`2`n`(_$,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``825933
omatrix`2`n`(_$,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``826042
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``826126
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``826248
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``826340
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``826430
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``826487
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``826834
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``826899
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteCubicalComplex(VS)``827066
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``827097
omaxIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``827128
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`827157
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``827346
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``827401
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``827601
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``827668
omaxPoints3D`0`n`()->Integer`dPlot3D``828007
omaxPoints`0`n`()->Integer`dPlot``828083
omaxPoints`0`x`()->Integer`pGraphicsDefaults``828156
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``828230
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``828301
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``828356
omaxPrecedence`0`n`()->Integer`cFormatterCategory``828657
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``828727
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``828797
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``828886
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``828973
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``829028
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``829167
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``829222
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`829582
omax`0`x`()->_$`dSingleInteger``829645
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`(_$)->NonNegativeInteger`cFiniteGraph(S)``829701
omax`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`829886
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``829972
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`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``830049
omax`2`n`(_$,_$)->_$`cSPointCategory``830253
omax`2`x`((S,S)->Boolean,_$)->S`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`830530
omax`2`x`(_$,_$)->_$`cOrderedSet``830671
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``830765
omaxdeg`1`x`(_$)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``830923
omaximumExponent`0`n`()->Integer`dMachineFloat``831009
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``831083
omaxint`0`n`()->PositiveInteger`dMachineInteger``831167
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``831231
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``831305
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``831387
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``831470
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`831667
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`832694
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`833100
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`833284
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``834346
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``834453
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``835014
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``835087
omeet`1`n`(List(_$))->_$`dLatticeJoinOfMeets``835316
omeet`1`n`(List(_$))->_$`dLatticeMeetOfJoins``835354
omeet`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``835392
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`835551
omeijerG`5`x`(List(_$),List(_$),List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`835624
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``835698
omeixnerM`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``835765
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``835832
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``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),_$)->Boolean`dVectorSpaceBasis(R)``835936
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``836035
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`836157
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(P)`dFiniteMoebiusFunction(P)``836387
omembers`1`n`(_$)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``836450
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`836513
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`836685
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``836777
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``836906
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``837009
omergeFactors`2`x`(_$,_$)->_$`dFactored(R)``837194
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``837517
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``837596
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`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteGraph(S)``837790
omerge`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``837983
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``838031
omerge`2`x`(_$,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`838123
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``838250
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``838381
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`838559
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``839165
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``839379
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``839444
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``839513
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``839573
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``839639
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``839714
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``839941
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``840203
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``840939
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``841850
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``842404
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``843175
omessagePrint`1`n`(String)->Void`dOutputForm``843549
omessage`1`n`(String)->_$`dOutputForm``843689
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``843774
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``843939
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``844010
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``844087
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``844192
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``844268
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``844361
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``844452
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``844490
ominIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``844521
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`844550
ominPoints3D`0`n`()->Integer`dPlot3D``844737
ominPoints`0`n`()->Integer`dPlot``844813
ominPoints`0`x`()->Integer`pGraphicsDefaults``844886
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``844960
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``845031
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``845066
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`845101
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`845171
ominPrecedence`0`n`()->Integer`cFormatterCategory``845240
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``845308
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``845376
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``845466
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`845554
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`845655
omin`0`x`()->_$`dSingleInteger``845718
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`(_$)->NonNegativeInteger`cFiniteGraph(S)``845775
omin`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`845953
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``846039
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`(S,S)->S`xOrderedSet&(S)``0
omin`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``846123
omin`2`n`(_$,_$)->_$`cSPointCategory``846320
omin`2`x`(_$,_$)->_$`cOrderedSet``846599
omindegTerm`1`x`(_$)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``846693
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``846770
omindeg`1`x`(_$)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``846928
ominimal?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``847024
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``847092
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``847220
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`847338
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`847417
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``847577
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``847795
ominimize`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``847871
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``848046
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``848169
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``848327
ominimumExponent`0`n`()->Integer`dMachineFloat``848500
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``848574
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``848658
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`848782
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`848906
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``848994
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``849076
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``849225
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``849377
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``849582
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``849635
omirror`1`n`(_$)->_$`dFreeMagma(VarSet)``849684
omirror`1`n`(_$)->_$`dFreeMonoid(S)``849896
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``849959
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``850041
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``850137
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``850237
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``850272
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``850433
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`850700
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``850821
omkcomm`1`x`(Integer)->_$`dCommutator``850882
omkcomm`2`x`(_$,_$)->_$`dCommutator``850922
ommul`3`n`(U32Matrix,U32Matrix,Integer)->U32Matrix`pModularFactorization``850967
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``851065
omod_exp`3`n`(U32Vector,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``851111
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``851205
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``851474
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``851712
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``852213
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``852682
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``852999
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``853154
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``853250
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``853340
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``853431
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``853972
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``854107
omodular_compose`6`n`(U32Vector,U32Matrix,U32Vector,NonNegativeInteger,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``854352
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)``854665
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`855564
omodule`1`n`(Vector(A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)``855640
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``855746
omodulus`0`n`()->Rep`dModMonic(R,Rep)``855809
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``855847
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``855902
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``855941
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``855980
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``856019
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``856145
omoebiusFunction`1`n`(List(P))->_$`dFiniteMoebiusFunction(P)``856277
omoebiusMatrix`1`n`(_$)->Matrix(Integer)`dFiniteMoebiusFunction(P)``856361
omoebiusMatrix`1`n`(_$)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``856419
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``856476
omoebiusMu`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``856753
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``856838
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``857066
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`857152
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``857280
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``857403
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``857521
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`857638
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`857744
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``857827
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`857943
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`858059
omoment`2`n`(_$,NonNegativeInteger)->R`cDistributionCategory(R)``858188
omoments`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``858277
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``858363
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``858466
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``858647
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``858880
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`859022
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`859213
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`859464
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`859701
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``859985
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``860162
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`860291
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`860530
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``860816
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``861078
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``861154
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``861572
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`cIndexedProductCategory(A,S)``861663
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``861804
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``861871
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``861912
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``861985
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``862149
omonomial`2`n`(A,S)->_$`cIndexedProductCategory(A,S)``862371
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->_$`cSolvableSkewPolynomialCategory(R,Expon)``862482
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``862580
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``862625
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``862670
omonomial`2`x`(R,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``862783
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``862884
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``862964
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``863130
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``863250
omonomials`1`n`(A)->List(A)`xFreeModuleCategory&(A,R,S)``0
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``863308
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``863492
omonotoneConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``863577
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``863695
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``863860
omonotoneCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`863985
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`864093
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``864302
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``864381
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``864654
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``864927
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``865008
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``865091
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``865219
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``865413
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``865665
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``865921
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``866011
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``866089
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)``866273
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``866448
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``866471
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``866507
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``866594
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``866741
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``866822
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``866844
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``866946
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``867054
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``867081
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``867096
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``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``867126
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``867318
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``867555
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``867729
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``867763
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``867848
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``867899
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``867956
omultiIndex`1`n`(_$)->List(NonNegativeInteger)`cJetBundleCategory``868179
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(F)``868263
omultifunctionGraph`1`n`(List(Permutation(S)))->_$`dMultifunctionGraph(S)``868314
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->_$`dMultifunctionGraph(S)``868366
omultifunctionGraph`1`n`(List(S))->_$`dMultifunctionGraph(S)``868470
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))))->_$`dMultifunctionGraph(S)``868742
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dMultifunctionGraph(S)``868857
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``868927
omultiple?`1`n`(_$)->Boolean`dPattern(R)``869048
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``869193
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``869499
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``869769
omultiplyALS`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``869886
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``870031
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``870201
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``870418
omultiplyColumn!`3`n`(_$,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``870643
omultiplyColumn!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``870751
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``870837
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``870973
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``871144
omultiplyMIN`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``871272
omultiplyRow!`3`n`(_$,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``871362
omultiplyRow!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``871464
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``871543
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``871665
omultiset`0`x`()->_$`dMultiset(S)``871812
omultiset`1`x`(List(S))->_$`dMultiset(S)``871893
omultiset`1`x`(S)->_$`dMultiset(S)``871969
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``872039
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``872142
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``872245
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``872380
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``872515
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``872569
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``872650
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``872751
omutable?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``872890
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``872959
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``873150
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``873302
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``873341
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``873398
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
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``873425
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``873989
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``874553
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``875096
oname`1`n`(_$)->Symbol`cJetBundleCategory``875639
oname`1`n`(_$)->Symbol`cKernelCategory(S)``875709
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``875773
oname`1`n`(_$)->Symbol`dRuleCalled(f)``875814
oname`1`x`(_$)->Name`cFileCategory(Name,S)``875855
oname`1`x`(_$)->String`cFileNameCategory``875925
oname`1`x`(_$)->Symbol`dBasicOperator``875987
oname`1`x`(_$)->_$`dSymbol``876041
onamedBranch`2`n`(List(_$),List(String))->_$`dSceneNamedPoints(PT)``876101
onamedPoints`2`n`(List(PT),List(String))->_$`dSceneNamedPoints(PT)``876183
onamedPoints`2`n`(List(Scene(PT)),List(String))->_$`dSceneNamedPoints(PT)``876258
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``876332
onand`2`x`(_$,_$)->_$`dBoolean``876431
onary?`1`x`(_$)->Boolean`dBasicOperator``876513
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``876577
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``877214
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``877851
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``878121
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``878391
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``878555
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``878719
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``878918
oncols`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``878972
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``879049
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``879126
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``879201
onegative?`1`x`(_$)->Boolean`cOrderedRing``879316
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``879391
onelem`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``879491
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``879546
onewLine`0`x`()->String`pDisplayPackage``879650
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``879710
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``879827
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``879934
onew`0`n`()->_$`dFormatter(F)``879978
onew`0`n`()->_$`dHashState``880215
onew`0`n`()->_$`dOperatorHandlers(HANDLER)``880259
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``880319
onew`0`n`()->_$`dPatternMatchResult(R,S)``880373
onew`0`n`()->_$`dSubSpace(n,R)``880427
onew`0`n`()->_$`dSubSpaceComponentProperty``880461
onew`0`n`()->_$`dTexFormat``880495
onew`0`x`()->_$`dSymbol``880666
onew`1`n`(F)->_$`dFreeDivisionAlgebra(VAR,F)``880734
onew`1`x`(_$)->_$`dSymbol``880783
onew`2`n`(FreeMonoid(VAR),F)->_$`dFreeDivisionAlgebra(VAR,F)``880860
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``880939
onew`2`n`(List(C),Integer)->_$`dSparseEchelonMatrix(C,D)``881076
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``881264
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``881366
onew`3`x`(String,String,String)->_$`cFileNameCategory``881464
onewline`0`x`()->_$`dCharacter``881782
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``881838
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``882200
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``882539
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``882883
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``882970
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``883403
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``883732
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``884148
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``884546
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``884944
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``885028
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``885444
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``885779
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``885875
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``886912
onext_subResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`887066
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``887284
onilFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``887480
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`887635
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``887944
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``888548
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``888648
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)`888891
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``889023
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``889150
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``889272
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``889369
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``889495
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``889616
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)``889746
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``889827
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``889867
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`889996
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``890125
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``890226
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``890327
onor`2`x`(_$,_$)->_$`dBoolean``890424
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``890504
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``890545
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``890588
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)``890688
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``890819
onorm`1`n`(_$)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``890881
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``890944
onorm`1`x`(_$)->R`cComplexCategory(R)``891062
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``891123
onorm`1`x`(_$)->R`cOctonionCategory(R)``891238
onorm`1`x`(_$)->R`cQuaternionCategory(R)``891348
onorm`1`x`(_$)->_$`cRealNumberSystem``891444
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``891501
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``891583
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``891680
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``891811
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``891943
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``892080
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`892218
onormal01`0`n`()->Float`pRandomFloatDistributions``892522
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``892561
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``892726
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`892824
onormalALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``893107
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``893183
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``893318
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`893420
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``893858
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`893968
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``894144
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``894392
onormalisePoint`1`n`(_$)->_$`dSConformal(n)``894435
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``894528
onormalize!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``894693
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``894944
onormalizeDIAG!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``895016
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``895150
onormalizePLS!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``895258
onormalizeRHS!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``895449
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``895597
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``895717
onormalize`1`x`(_$)->_$`dFloat``895775
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``895844
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``895915
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``896262
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``896353
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``896530
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``896724
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``896849
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``897017
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``897302
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`897505
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``897708
onot`1`x`(_$)->_$`cBitAggregate``897764
onot`1`x`(_$)->_$`dBoolean``897842
onot`1`x`(_$)->_$`dSingleInteger``897896
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``897990
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``898073
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``898229
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``898385
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``898961
onrows`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``899012
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``899086
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``899160
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``899232
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``899270
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``899356
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``899442
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``899528
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``899613
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``899698
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``899783
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``899897
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``900208
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``900279
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``900677
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``900736
onullBoundary`0`n`()->_$`dSBoundary(PT)``900817
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``900942
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`901086
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`901172
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``901258
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`901483
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`901569
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`901655
onullary?`1`x`(_$)->Boolean`dBasicOperator``901742
onullary`1`x`(A)->()->A`pMappingPackage1(A)``901800
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``901884
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`902017
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`902150
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`902283
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``902416
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``902483
onumFunEvals`0`n`()->Integer`dPlot``902552
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``902618
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`902687
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``902742
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``902790
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``902882
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``902974
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``903169
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``903625
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``903804
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``903906
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``904099
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``904388
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``904474
onumberOfHues`0`x`()->PositiveInteger`dColor``904615
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``904698
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``905210
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``905383
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``905463
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``905609
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``905966
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``906323
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
onumerJP`1`n`(_$)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``906475
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``906546
onumer`1`n`(_$)->M`dLocalize(M,R)``906603
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``906660
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``906744
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``906815
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`906925
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``907164
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`907225
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``907303
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``907389
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`907587
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`907704
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`907821
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`907938
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`908090
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`908242
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`908394
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`908461
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`908528
onumeric`1`x`(S)->Float`pNumeric(S)``908595
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`908662
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`908764
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`908866
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``908968
oobj`1`x`(_$)->None`dAny``909070
oobjectOf`1`x`(_$)->OutputForm`dAny``909222
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(_$,S)->NonNegativeInteger`cPoset(S)``909334
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``909377
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``909608
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``909955
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``910066
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`910176
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``910243
oodd?`1`x`(_$)->Boolean`dPermutation(S)``910317
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``910450
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``910601
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``910709
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``910938
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``911008
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``911334
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``911711
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``911801
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``911928
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``912084
oomega`0`n`()->_$`dSmallOrdinal``912152
oomegapower`1`n`(_$)->_$`dSmallOrdinal``912204
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`n`(_$)->Boolean`cJetBundleCategory``912248
oone?`1`x`(_$)->Boolean`cMagmaWithUnit``912341
oone?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``912401
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``912507
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``912594
ooneSkeleton`1`n`(_$)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``912694
ooneSkeleton`1`n`(_$)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``912732
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``912770
oone`1`x`(Boolean)->_$`dGuessOption``912860
oopType`1`n`(_$)->Symbol`dILogic``912985
oopType`1`n`(_$)->Symbol`dLatticeJoinOfMeets``913171
oopType`1`n`(_$)->Symbol`dLatticeMeetOfJoins``913357
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``913543
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``913618
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``913682
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``913799
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``913885
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``914008
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``914131
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``914363
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``914533
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``914623
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``914795
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``914874
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``914986
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``915100
ooperator`1`n`(_$)->BasicOperator`cKernelCategory(S)``915278
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``915347
ooperator`1`x`(Symbol)->_$`dBasicOperator``915459
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``915539
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``915616
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``915733
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(_$,_$)->Boolean`cAbelianMonoid``915786
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(_$)->_$`cPoset(S)``915872
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``915960
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``916161
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``916350
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``916493
ooptional?`1`n`(_$)->Boolean`dPattern(R)``916560
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``916664
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``916838
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``916976
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``917204
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``917433
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``917728
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``918014
oor`2`n`(_$,_$)->_$`dOutputForm``918130
oor`2`x`(_$,_$)->_$`cBitAggregate``918186
oor`2`x`(_$,_$)->_$`dBoolean``918277
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``918371
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``918579
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``918768
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``918959
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``919065
oord`1`x`(_$)->Integer`dCharacter``919200
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorderDim`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``919341
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``919560
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``919597
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``919712
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`n`(_$)->Integer`cFiniteGroup``919749
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``919820
oorder`1`n`(_$)->NonNegativeInteger`cFacetCategory``919857
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``919883
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``919977
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``920076
oorder`1`n`(_$)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``920232
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``920313
oorder`1`x`(_$)->Integer`cFloatingPointSystem``920469
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``920589
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``920795
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``920912
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``921008
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``921095
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``921160
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``921283
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``921419
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``921506
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``921627
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``921753
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`921908
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``922075
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``922122
oordinalAdd`2`n`(_$,_$)->_$`dSmallOrdinal``922195
oordinalMul`2`n`(_$,_$)->_$`dSmallOrdinal``922285
oordinalPower`2`n`(_$,_$)->_$`dSmallOrdinal``922379
oorientedFacetIfCan`1`n`(List(_$))->Union(_$,"failed")`dOrientedFacet``922545
oorientedFacetSigned`1`n`(List(Integer))->_$`dOrientedFacet``922826
oorientedFacetUnsigned`1`n`(List(Integer))->_$`dOrientedFacet``922959
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->_$`dOrientedFacet``923045
oorientedFacet`2`n`(Integer,OrientedFacet)->_$`dOrientedFacet``923224
oorthogonalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``923269
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`923391
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`923476
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``923561
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``923726
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`923829
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``923975
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``924380
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``924487
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``924573
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``924741
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``924815
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``924965
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``925151
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``925301
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``925460
ooutputFixed`0`x`()->Void`dFloat``925582
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``925697
ooutputFloating`0`x`()->Void`dFloat``925830
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``926013
ooutputForm`1`n`(Integer)->_$`dOutputForm``926168
ooutputForm`1`n`(String)->_$`dOutputForm``926227
ooutputForm`1`n`(Symbol)->_$`dOutputForm``926284
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``926341
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``926526
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``926648
ooutputGeneral`0`x`()->Void`dFloat``927232
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``927423
ooutputList`1`x`(List(Any))->Void`pOutputPackage``927539
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``927747
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlAttribute``927887
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlElement``928165
ooutput`1`x`(OutputForm)->Void`pOutputPackage``928441
ooutput`1`x`(String)->Void`pOutputPackage``928587
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``928728
oover`2`n`(_$,_$)->_$`dOutputForm``928904
ooverbar`1`n`(_$)->_$`dOutputForm``928999
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``929067
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``929294
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``929389
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``929598
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``929741
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``929827
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``929915
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``929990
opack!`1`x`(_$)->_$`dLibrary``930076
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``930162
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``930239
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``930412
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``930575
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``930664
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(_$)->_$`dOutputBox``930791
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``931188
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``931414
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``931726
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``932038
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``932362
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``932627
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``932772
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))`932851
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))`933041
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))`933362
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)``933498
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)``933972
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``934572
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``934985
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``935168
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``935554
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``935685
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``935840
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``936088
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``936296
oparallel`2`n`(_$,_$)->DoubleFloat`cSPointCategory``936555
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)``936763
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)``936808
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)``936852
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)``937111
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)``937378
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``937705
oparametric?`1`n`(_$)->Boolean`dPlot``937794
oparen`1`n`(List(_$))->_$`dOutputForm``937864
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``937992
oparen`1`x`(_$)->_$`cExpressionSpace``938067
oparent`1`n`(_$)->_$`dSubSpace(n,R)``938290
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``938473
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``938626
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``938779
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``938914
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``939165
oparseIL`1`n`(String)->_$`dILogic``939314
oparseLambda`1`n`(String)->_$`dLambda(UT)``939526
oparseSki`1`n`(String)->_$`dSKICombinators(UT)``940101
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dLambda(UT)``940145
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dSKICombinators(UT)``940302
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`cVarCat``940453
oparseVar`1`n`(String)->_$`cVarCat``940582
oparse_integer`1`n`(String)->Integer`pScanningUtilities``940630
oparse`1`n`(String)->_$`dInputForm``940709
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``940791
opartialFraction`1`x`(Fraction(R))->_$`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`941043
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``941185
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``941338
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``941504
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``941740
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``941986
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``942243
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``942454
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``942671
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``942868
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``943070
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`943120
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`943334
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`943526
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`943740
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``943932
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``944037
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``944142
opartition`1`n`(List(Integer))->_$`dPartition``944486
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``944574
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``944755
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``944828
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``945003
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(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``945211
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`945296
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``945433
opastel`1`x`(Color)->_$`dPalette``945586
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)``945682
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)``945949
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`946267
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``946472
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``946667
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``946853
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``947061
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`947244
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``947433
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)``947624
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``947845
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``948154
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``948417
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``948796
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``948993
opdct`1`n`(_$)->Integer`dPartition``949096
opencil`1`n`(_$)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``949245
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``949313
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``949434
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``949600
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``949743
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``949871
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``949982
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``950061
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``951309
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``951421
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``951533
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``951753
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``952021
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``952266
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``952455
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``952622
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``952771
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952932
operpendicular`2`n`(_$,_$)->_$`cSPointCategory``953050
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``953259
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``953514
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``953770
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``953890
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``953993
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``954050
opi`0`x`()->_$`cTranscendentalFunctionCategory``954191
opi`0`x`()->_$`dPi``954249
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``954309
opile`1`n`(List(_$))->_$`dOutputForm``954545
opivot`2`n`(_$,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``954745
opivots`1`n`(_$)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``954877
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``954981
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``955142
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``955530
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``955993
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``956220
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``956443
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``956556
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``956678
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``956772
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``956911
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``956952
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``956993
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``957144
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``957305
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``957511
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``957596
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``957726
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``957909
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``958174
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``958249
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``958445
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``958496
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`958544
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))`958645
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``958802
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``958966
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``959054
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``959164
opointColor`1`x`(Float)->_$`dDrawOption``959393
opointColor`1`x`(Palette)->_$`dDrawOption``959536
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``959707
opointList`1`n`(_$)->List(PT)`dSceneIFS(PT)``959827
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``959896
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``959956
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``960118
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``960306
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``960476
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``960760
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``960821
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``960911
opoint`1`x`(List(R))->_$`cPointCategory(R)``961011
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``961124
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``961244
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``961424
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``961683
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``961848
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``962093
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``962451
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``962699
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``962969
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``963060
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``963099
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``963567
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`963680
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``963795
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``964010
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``964149
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``964224
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``964291
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``964696
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``965106
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)``965168
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``965230
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``965326
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``965410
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``965550
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``965700
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``965895
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``966124
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``966495
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)``966674
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``966740
opolylog`2`x`(_$,_$)->_$`cSpecialFunctionCategory``966821
opolynomial?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``966903
opolynomial`1`n`(_$)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``966963
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``967032
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``967156
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``967280
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``967434
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``967588
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``967627
opop!`1`x`(_$)->S`cStackAggregate(S)``967795
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``968007
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968075
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968138
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968201
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968264
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``968327
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``968390
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`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`(_$,List(_$))->Integer`dCubicalFacet``968469
oposition`2`n`(_$,List(_$))->Integer`dOrientedFacet``968576
oposition`2`x`((S)->Boolean,_$)->Integer`cLinearAggregate(S)`has(_$,finiteAggregate)`968683
oposition`2`x`(S,_$)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`968872
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,_$,Integer)->Integer`cStringAggregate``969031
oposition`3`x`(S,_$,Integer)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`969256
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``969447
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``969651
opositive?`1`x`(_$)->Boolean`cOrderedRing``969766
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``969844
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`969944
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``970075
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970200
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970296
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970422
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``970518
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``971365
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``971478
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``971677
opostfix`2`n`(_$,_$)->_$`dOutputForm``971846
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``971922
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``971977
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``972011
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``972160
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``972445
opowerSetStructure`1`n`(S)->_$`cPoset(S)``972551
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``972737
opower_matrix`3`n`(U32Vector,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Record(matr:U32Matrix,poly:U32Vector)`pModularFactorization``972825
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`973186
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``973278
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`973521
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``973602
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``973896
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``974002
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``974087
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``974242
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``974381
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``974440
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``974590
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``974805
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``974908
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``975011
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``975138
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``975341
oprecision`0`n`()->PositiveInteger`dMachineFloat``975544
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``975612
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``975676
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`975754
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``975839
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``975899
opredicates`1`n`(_$)->List(Any)`dPattern(R)``976052
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``976194
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``976369
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``976587
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``976737
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``976960
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``977183
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``977339
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``977479
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``977594
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``977709
opresub`2`n`(_$,_$)->_$`dOutputForm``977818
opresuper`2`n`(_$,_$)->_$`dOutputForm``977903
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``977992
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``978082
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``978166
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`978338
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`978440
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``978588
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``978704
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``978785
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``979970
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``980032
oprimeFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``980196
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``980347
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``980438
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``980536
oprime`1`n`(_$)->_$`dOutputForm``980930
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``981022
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``981105
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``981196
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F,NonNegativeInteger)->Union(Record(ratpart:F,coeff:F,prim:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``981463
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``981675
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``981824
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``982068
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``982268
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``982554
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`982997
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``983341
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``983789
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`984159
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`984360
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`984433
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``984556
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`984679
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`984803
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`985002
oprimitiveRowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`985169
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``985541
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``985575
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``985655
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``985885
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``985923
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``985963
oprintCode`1`n`(_$)->Void`dFortranCode``986002
oprintHeader`0`n`()->Void`dTheSymbolTable``986070
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``986218
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``986364
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``986510
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`n`(List(OutputForm))->_$`dFortranCode``986726
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``986805
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``986856
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``987010
oprintTypes`1`n`(_$)->Void`dSymbolTable``987131
oprint`1`n`(_$)->Void`dOutputForm``987252
oprint`1`x`(OutputForm)->Void`pPrintPackage``987301
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``987412
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``987532
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``987706
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``987833
oprod`1`n`(_$)->_$`dOutputForm``987946
oprod`2`n`(_$,_$)->_$`dOutputForm``988034
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``988154
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``988315
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->_$`dProductFacet``988560
oproductFacet`2`n`(Integer,ProductFacet)->_$`dProductFacet``988597
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``988645
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``988837
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``988945
oproduct`2`n`(_$,_$)->List(ProductFacet)`dOrientedFacet``989101
oproduct`2`n`(_$,_$)->_$`dCubicalFacet``989582
oproduct`2`n`(_$,_$)->_$`dFiniteCubicalComplex(VS)``989703
oproduct`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``989750
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``990225
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``990333
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``990489
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``990966
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``991250
oproject`2`n`(_$,NonNegativeInteger)->_$`dJetDifferentialEquation(JB,D)``991338
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``991490
oprojection`1`n`(_$)->Union(_$,"failed")`dCell(TheField)``991552
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``991628
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``991672
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``991966
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``992254
oprologue`1`n`(_$)->List(String)`dTexFormat``992604
oprologue`1`n`(_$)->OutputBox`dFormatter(F)``992684
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``992762
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``992886
oprolong`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``992962
oprolong`2`n`(_$,NonNegativeInteger)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``993098
oprolong`2`n`(_$,NonNegativeInteger)->_$`dJetVectorField(JB,D)``993227
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``993355
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``993456
oproposition`1`n`(String)->_$`dILogic``993585
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`993617
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``993816
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`994029
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``994223
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`994326
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)``994574
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)``994703
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)``994856
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)``995010
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``995158
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)``995388
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``995565
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)``995807
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``995985
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996228
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996440
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``996699
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``996966
optree`1`x`(S)->_$`dPendantTree(S)``997068
optree`2`x`(_$,_$)->_$`dPendantTree(S)``997115
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``997157
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``997340
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``997410
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``997525
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``997770
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``997826
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``998000
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`n`((Fraction(Integer))->R,Symbol,R,UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``998248
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))))`998497
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)``998743
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``998883
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``999227
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``999370
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``999569
opurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``999720
opush!`2`x`(S,_$)->S`cStackAggregate(S)``999851
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``1000116
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``1000202
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1000288
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000336
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000483
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000633
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000777
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1000910
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1000956
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``1001111
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1001318
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1001757
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1001975
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1002224
oqaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``1002557
oqaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``1002789
oqaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``1002949
oqaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``1003060
oqcoerce`1`x`(Integer)->_$`dNonNegativeInteger``1003229
oqcoerce`1`x`(Integer)->_$`dPositiveInteger``1003322
oqcolumnIndices`2`n`(_$,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1003412
oqcolumnIndices`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1003569
oqcolumnIndices`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1003751
oqconvert`1`n`(Integer)->_$`dU64Int``0
oqconvert`1`x`(Integer)->_$`dSingleInteger``1003949
oqdiagonal?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1004043
oqdiagonal`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1004175
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``1004320
oqelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1004626
oqelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1004754
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``1004843
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1005043
oqelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``1005221
oqequal?`5`n`(_$,List(NonNegativeInteger),_$,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1005366
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``1005480
oqlog`1`x`(_$)->_$`dDoubleFloat``1005609
oqmultiplyColumn!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``1005701
oqmultiplyRow!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``1005787
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``1005884
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``1005961
oqnew`1`n`(NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1006038
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``1006104
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1006177
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1006253
oqnilpotent?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1006380
oqregular?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1006520
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1006625
oqrowIndices`2`n`(_$,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1006722
oqrowIndices`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1006877
oqrowIndices`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1007056
oqscaleBlock!`7`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``1007207
oqsemizero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1007368
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1007527
oqsetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1007745
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1007914
oqsetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1008100
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1008248
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1008374
oqsqrt`1`x`(_$)->_$`dDoubleFloat``1008490
oqswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1008578
oqswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1008682
oqswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1008826
oqswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1008924
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``1009063
oquadraticNonResidue`0`n`()->_$`dInnerPrimeField(p)``1009163
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``1009287
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009373
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009414
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009465
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1009504
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1009563
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``1009767
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1009919
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1010094
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``1010272
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``1010353
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``1010434
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``1010505
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``1010576
oqueue`1`x`(List(S))->_$`dQueue(S)``1010654
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1010819
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``1010944
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``1011211
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``1011268
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``1011380
oquote`0`x`()->_$`dCharacter``1011477
oquote`1`n`(_$)->_$`dOutputForm``1011548
oquoted?`1`n`(_$)->Boolean`dPattern(R)``1011618
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``1011709
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``1011936
oquotient`2`n`(_$,List(List(Integer)))->_$`dGroupPresentation``1012011
oquotient`2`n`(_$,List(NonNegativeInteger))->_$`dGroupPresentation``1012072
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1012136
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1012291
oquppertriangular?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1012398
oqzero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1012550
oqzero?`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1012689
oqzero?`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1012801
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1012964
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1013120
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013233
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1013402
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1013473
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1013544
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1013815
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1013835
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1013856
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1013876
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1013896
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1013917
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1013937
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1014065
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1014219
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1014420
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1014601
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1014839
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1014994
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)``1015168
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1015476
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1015673
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1015839
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1016035
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1016213
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1016385
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1016581
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1016774
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)``1017001
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1017069
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1017154
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1017316
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1017383
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1017453
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1017520
orandnum`0`x`()->Integer`pRandomNumberSource``1017623
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1017688
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1017758
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1017822
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1017878
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``1017938
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1018000
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1018130
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``1018214
orandom`1`x`(_$)->_$`cIntegerNumberSystem``1018353
orandom`1`x`(_$)->_$`dInteger``1018424
orandom`1`x`(_$)->_$`dNonNegativeInteger``1018495
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1018566
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``1018743
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1018852
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1018932
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``1019051
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``1019176
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``1019301
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``1019469
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1019601
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1019808
orank`0`n`()->PositiveInteger`cFramedModule(R)``1020063
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1020115
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1020169
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1020242
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1020304
orank`1`n`(_$)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1020367
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``1020512
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1020619
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`1020682
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`1020745
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1020808
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1020951
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1021068
orarrow`2`n`(_$,_$)->_$`dOutputForm``1021185
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1021260
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1021398
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1021516
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1021657
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1021790
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1022114
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1022370
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1022694
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1022950
oratexprInverse`2`n`(_$,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1023078
oratexpr`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1023282
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1023410
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1023517
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``1023584
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1023685
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1023801
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1023997
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1024117
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1024191
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1024265
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``1024402
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1024539
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1024719
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1024897
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1025041
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)``1025208
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1025327
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1025449
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1025554
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1025669
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1025894
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1026004
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1026116
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1026229
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1026312
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1026395
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1026478
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1026561
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1026659
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1026753
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`(S)->Fraction(Integer)`pRationalRetractions(S)``1026790
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1026899
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``1027009
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1027096
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1027216
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1027427
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1027587
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1027704
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1027819
oratpart`1`n`(_$)->F`dIntegrationResult(F)``1027921
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``1027998
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``1028119
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1028158
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)``1028207
oread!`1`x`(_$)->S`cFileCategory(Name,S)``1028280
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``1028444
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``1028639
oreadLine!`1`x`(_$)->String`dTextFile``1028852
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``1028946
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``1029163
oreal?`1`n`(_$)->Boolean`dFortranScalarType``1029254
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1029340
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1029405
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1029470
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1029686
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1029972
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1030128
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1030323
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1030596
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1030886
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1031005
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1031325
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1031421
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1031701
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1031807
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1032018
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1032135
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1033038
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1033169
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1033300
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1033461
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1033622
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1033818
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1034014
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1034243
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1034472
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1034566
oreal`1`x`(_$)->R`cComplexCategory(R)``1034660
oreal`1`x`(_$)->R`cOctonionCategory(R)``1034713
oreal`1`x`(_$)->R`cQuaternionCategory(R)``1034776
orecip`0`n`()->_$`dMoebiusTransform(F)``1034845
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``1034952
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1035055
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1035092
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``1035129
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1035173
orecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1035406
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``1035608
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``1035722
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1035895
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1035985
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1036155
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1036253
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1036340
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``1036404
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``1036507
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1036632
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1036755
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1036831
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1036865
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1036900
ored_pol`2`n`(U32Vector,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Void`pModularFactorization``1037093
ored`0`x`()->_$`dColor``1037234
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1037307
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)``1037447
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``1037564
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1037729
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1037845
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1037960
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1038319
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduceMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1038576
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1038676
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->_$`dModMonic(R,Rep)``1038763
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1038801
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dJetBundleExpression(JB)``1038951
oreduce`1`n`(_$)->_$`dJetBundleXExpression(JB)``1039007
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1039067
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``1039151
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``1039304
oreduce`1`x`(_$)->_$`dAlgebraicNumber``1039434
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`1039563
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
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`n`(R,List(R))->Record(poly:R,repr:Vector(R),mult:C)`pExtendedPolynomialReduction(C,E,R)``1039695
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1039871
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``1039914
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``1039957
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`1040000
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``1040330
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1040499
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1040892
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1041246
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1041594
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1041763
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1042121
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1042269
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1042611
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`1042945
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1043345
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1043578
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1043967
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`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``1044521
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1044640
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1044734
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``1044967
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1045296
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``1045348
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1045608
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(_$))->Matrix(R)`cLinearlyExplicitOver(R)``1045778
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1045916
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1046076
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1046241
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1046437
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1046601
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1046712
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cIndexedProductCategory(A,S)`has(S,Comparable)`1046799
oreductum`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``1046966
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``1047077
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``1047262
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1047443
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``1047483
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``1047523
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``1047632
oredux`1`n`(_$)->_$`dILogic``1047764
oredux`1`n`(_$)->_$`dLambda(UT)``1047918
oredux`1`n`(_$)->_$`dLatticeJoinOfMeets``1047989
oredux`1`n`(_$)->_$`dLatticeMeetOfJoins``1048022
oredux`1`n`(_$)->_$`dSKICombinators(UT)``1048055
oref`1`n`(S)->_$`dReference(S)``1048167
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``1048242
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``1048338
orefactor`1`n`(_$)->_$`dGroupPresentation``1048438
orefine!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1048660
orefine!`2`n`(_$,Boolean)->_$`dFreeDivisionAlgebra(VAR,F)``1048731
orefineUR!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1048918
orefineUR!`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1049046
orefine`1`n`(_$)->_$`dPlot3D``1049174
orefine`1`n`(_$)->_$`dPlot``1049212
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1049279
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1049360
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``1049779
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``1049824
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1049867
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1049910
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1050093
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)``1050276
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)``1050574
orefined?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1050872
orefinementEquations`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1050940
orefinementGroebner`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1051060
orefinementSolve`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1051355
orefinementTransformations`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1051607
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``1051714
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1052553
oregular?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1052835
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1052892
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``1053009
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)``1053247
oreindex`1`n`(_$)->_$`dOrientedFacet``1053519
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``1053588
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1053874
orelationsInGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1053986
orelationsInStrongGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1054065
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``1054157
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1054265
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1054393
orelerror`2`x`(_$,_$)->_$`dFloat``1054523
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``1054626
orem`2`x`(_$,_$)->_$`cEuclideanDomain``1054683
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``1054796
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1054866
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1054894
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1055199
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1055431
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1055497
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1055640
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1055764
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1055956
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1056085
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1056172
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``1056473
oremoveChild!`2`n`(_$,_$)->Void`dScene(PT)``1056726
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1056827
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1056939
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1057116
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1057297
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``1057380
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1057482
oremoveHandler!`3`n`(_$,Integer,String)->Void`dOperatorHandlers(HANDLER)``1057572
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1057771
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1058064
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1058413
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1058734
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1059415
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1059705
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1059996
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1060101
oremoveRepeats!`1`n`(_$)->_$`dIndexedFlexibleArray(S,mn)``1060318
oremoveRepeats!`1`x`(_$)->_$`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1060440
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1060784
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1060938
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1061228
oremoveRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dFreeDivisionAlgebra(VAR,F)``1061508
oremoveRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``1061683
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061839
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1062016
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1062197
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1062358
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1062463
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1062568
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1062747
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1062926
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``1063190
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1063744
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``1064273
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1064388
oremoveZeros`2`n`(_$,Expon)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1064845
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1064954
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1064998
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1065340
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1065532
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1065714
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1065907
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1066063
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``1066349
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``1066587
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``1066656
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``1066727
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``1066920
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1067064
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1067208
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1067352
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1067485
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1067643
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``1067846
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeatedIndex`1`n`(_$)->List(PositiveInteger)`cJetBundleCategory``1067928
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`1068042
orepeating`1`x`(List(S))->_$`dStream(S)``1068180
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``1068264
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``1068465
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1068573
orepresentation`1`n`(_$)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1068730
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
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`1`n`(Vector(R))->_$`cFramedModule(R)``1068843
orepresents`2`n`(Vector(F),Vector(S))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``1068997
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``1069096
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``1069220
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1069324
oresetBadValues`1`n`(_$)->_$`dPattern(R)``1069398
oresetNew`0`x`()->Void`dSymbol``1069558
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1069685
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``1069809
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``1070025
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1070245
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1070368
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1070619
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dFreeMagma(VarSet)``1070874
orest`1`n`(_$)->_$`dFreeMonoid(S)``1071011
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``1071075
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``1071152
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1071316
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)``1071456
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1071555
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1071760
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1071871
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1072030
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1072124
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1072203
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1072299
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1072513
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1072615
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``1072754
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1072883
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1073225
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1073354
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1073696
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1074038
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``1074082
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1074211
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``1074553
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1074682
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1075024
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleXExpression(JB)``1075112
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075234
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075363
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075492
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075621
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075750
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1075879
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``1076008
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1076137
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1076479
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1076608
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``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")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``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(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``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")`xFunctionSpace&(S,R)``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(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(_$,"failed")`cRetractableFrom(S)``1076950
oretractIfCan`1`n`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1077088
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1077362
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1077491
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1077620
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1077749
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1077878
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1078007
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1078136
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1078302
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1078429
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1078556
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``1078683
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))->_$`cFortranFunctionCategory``1078833
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1078957
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``1079286
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1079410
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1079739
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``1080068
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1080192
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``1080521
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1080645
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1080974
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleXExpression(JB)``1081101
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``1081228
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``1081352
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``1081476
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``1081600
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``1081724
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``1081848
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``1081972
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1082096
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``1082425
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1082549
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)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``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))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``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)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``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`xFunctionSpace&(S,R)``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)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->_$`cRetractableFrom(S)``1082878
oretract`1`n`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1083001
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``1083262
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``1083386
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``1083510
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``1083634
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``1083758
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``1083882
oretract`1`n`(_$)->List(D)`dJetDifferentialEquation(JB,D)``1084006
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1084097
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1084261
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1084428
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1084595
oretract`1`x`(_$)->S`cRetractableTo(S)``1084762
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``1084897
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1085003
oretractable?`1`n`(_$)->Boolean`dFreeMagma(VarSet)``1085130
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``1085209
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1085288
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1085384
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1085482
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1085606
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``1085733
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1085860
oreturns`0`n`()->_$`dFortranCode``1085949
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``1086029
oreturns`1`n`(Expression(Float))->_$`dFortranCode``1086132
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``1086235
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``1086338
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``1086441
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``1086544
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)``1086647
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``1086757
oreverse!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1086930
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1087009
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1087206
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1087275
oreverse`1`x`(_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1087494
oreverse`1`x`(_$)->_$`cSegmentCategory(S)`has(S,OrderedRing)`1087578
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1087646
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1087752
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``1087939
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1088134
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1088440
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1088833
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1089117
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1089704
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``1090522
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``1090578
orhs`1`x`(_$)->S`dEquation(S)``1090649
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1090724
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1090838
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1090952
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1091173
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1091340
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1091561
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1091728
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1092002
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1092276
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1092331
oriemannZeta`1`x`(_$)->_$`cSpecialFunctionCategory``1092389
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1092448
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1092675
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1092902
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1093062
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1093435
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``1093808
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1094124
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1094334
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1094591
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1094702
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1094825
orightFactor`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1095115
orightFamily`1`n`(_$)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1095270
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1095333
orightIdentity`1`n`(_$)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1095574
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1095640
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1095842
orightMinimization`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1096078
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``1096258
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1096387
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`1096487
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`1096546
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``1096605
orightPower`2`x`(_$,PositiveInteger)->_$`cMagma``1096804
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1097003
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1097198
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1097296
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1097537
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1097778
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)`1097945
orightRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1098167
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1098358
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1098532
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1098838
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1099034
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1099231
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1099521
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1099811
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1100027
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1100122
orightTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1100320
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1100506
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1100633
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1100758
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`1100884
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:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1100943
oright`1`n`(_$)->_$`dFreeMagma(VarSet)``1101182
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``1101314
oright`1`n`(_$)->_$`dOutputForm``1101447
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1101516
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``1101591
oright`2`n`(_$,Integer)->_$`dOutputForm``1101639
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``1101729
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1102055
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1102136
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1102440
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1102669
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1102950
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1103598
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1103873
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1104218
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``1104720
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``1105237
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1105712
oroman`1`x`(Integer)->_$`dRomanNumeral``1105822
oroman`1`x`(Symbol)->_$`dRomanNumeral``1105883
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1105951
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1106647
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1107337
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1107374
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1107471
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1107708
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1107781
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1107988
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1108238
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1108362
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1108430
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1108554
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1108670
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1108782
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1108898
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1108989
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1109105
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1109225
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1109398
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1109554
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1109783
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1109998
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1110124
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1110351
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1110578
orootSum`3`x`(_$,SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(_$)->_$`dOutputForm``1110616
oroot`2`n`(_$,_$)->_$`dOutputForm``1110691
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1110775
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1110906
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1111192
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1111422
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1111713
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1111961
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1112209
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1112405
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1112648
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1113010
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1113108
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1113206
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1113304
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1113462
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1113578
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1113770
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1113980
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1114112
orouteArrowWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1114176
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrows`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1114283
orouteNodeWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1114490
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodes`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1114596
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1114801
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1114969
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1115076
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1115266
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1115399
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1115480
orowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1115561
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1115863
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1115944
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1116025
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1116106
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1116399
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1116621
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1116729
orowSpan`1`n`(_$)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1116877
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1117032
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1117100
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1117171
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1117256
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1117382
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1117501
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1117594
orquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``1117687
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1117772
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1117967
orquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1118052
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1118137
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1118222
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1118320
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1118417
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1118513
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1118706
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1121285
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1121430
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1121826
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1121890
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1121978
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1122043
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1123169
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1123643
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1123800
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1123833
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1123845
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1123980
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1124131
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1124286
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1124485
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``1124552
osameFace?`2`n`(_$,_$)->Boolean`dCubicalFacet``1124706
osameFace?`2`n`(_$,_$)->Boolean`dOrientedFacet``1124793
osamplePoint`1`n`(_$)->List(TheField)`dCell(TheField)``1124879
osamplePoint`1`n`(_$)->TheField`dSimpleCell(TheField,ThePols)``1124945
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->_$`cAbelianMonoid``1125011
osample`0`x`()->_$`cAggregate``1125058
osample`0`x`()->_$`cMagmaWithUnit``1125105
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1125152
osample`0`x`()->_$`dSymbol``1125205
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1125251
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1125363
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1125508
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1125742
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1125890
osave`0`n`()->_$`dFortranCode``1126059
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1126126
osayLength`1`x`(String)->Integer`pDisplayPackage``1126217
osay`1`x`(List(String))->Void`pDisplayPackage``1126299
osay`1`x`(String)->Void`pDisplayPackage``1126364
oscalar?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1126420
oscalar?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1126465
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1126534
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1126664
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1126799
oscaleALS`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``1126871
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1126979
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1127083
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1127191
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1127292
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1127411
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1127731
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1128417
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1128649
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1129066
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1129397
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1129722
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1129954
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1130278
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1130602
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1130797
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1130906
oscreenCoordX`1`n`(_$)->DoubleFloat`cSPointCategory``1131166
oscreenCoordY`1`n`(_$)->DoubleFloat`cSPointCategory``1131254
oscreenCoordZ`1`n`(_$)->DoubleFloat`cSPointCategory``1131342
oscreenCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``1131432
oscreenResolution3D`0`n`()->Integer`dPlot3D``1131501
oscreenResolution`0`n`()->Integer`dPlot``1131582
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1131645
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1131718
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1131792
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1132148
oscripted?`1`x`(_$)->Boolean`dSymbol``1132349
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1132431
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1132807
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1132869
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1133091
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1133150
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1133358
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1133456
osec`1`n`(F)->F`pElementaryFunction(R,F)``1133543
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1133604
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1133671
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1133738
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1133806
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1133876
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1133929
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1134031
osech`1`n`(F)->F`pElementaryFunction(R,F)``1134120
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1134193
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1134276
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1134359
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1134439
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1134521
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->B`dProduct(A,B)``1134586
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1134650
oseedRandom`0`x`()->Void`dInteger``1134755
oseed`0`x`()->Integer`pRandomNumberSource``1135010
osegment`1`x`(S)->_$`dUniversalSegment(S)``1135063
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1135145
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1135349
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1135434
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1135581
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1135697
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1135946
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1136193
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1136398
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1136497
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1136670
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1136849
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1136916
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1137024
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1137235
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1137386
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1137595
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1137793
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1137908
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1138063
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1138224
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1138440
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1138696
osendGraphImage`1`n`(_$)->Void`dGraphImage``1138799
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1139082
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1139207
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1139359
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1139525
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1139709
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1139749
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)`1139915
osequence`1`n`(Stream(R))->_$`cSequenceCategory(R)``1140084
osequence`2`n`((R)->R,R)->_$`cSequenceCategory(R)``1140152
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1140306
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1140522
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)``1140894
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1141143
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1141254
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1141680
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1141801
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1141920
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1142069
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1142494
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1142713
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1142952
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1143159
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1143267
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1143697
oseries`1`n`(Stream(SMP))->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1143896
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1143969
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1144150
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1144250
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1144449
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1144648
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1144709
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1144796
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1144902
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1145145
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1145458
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1145655
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1145741
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1145906
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1146152
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1146343
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1146587
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1146706
osetArr`2`n`(_$,List(List(Boolean)))->Void`cPoset(S)``1146819
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1146865
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1146988
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147163
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1147251
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1147399
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1147556
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1147771
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1147945
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``1148013
osetEpilogue!`2`n`(_$,OutputBox)->OutputBox`dFormatter(F)``1148115
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1148241
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1148537
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1148728
osetFormat!`2`n`(_$,OutputBox)->OutputBox`dFormatter(F)``1148787
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1148899
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1149010
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1149278
osetHandler!`4`n`(_$,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1149460
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1149596
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1149747
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1149929
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1150013
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1150102
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1150188
osetMinPoints`1`n`(Integer)->Integer`dPlot``1150277
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1150363
osetMult!`2`n`(_$,Integer)->_$`dOrientedFacet``1150438
osetMult!`2`n`(_$,Integer)->_$`dProductFacet``1150469
osetMult`2`n`(_$,Integer)->_$`dCubicalFacet``1150500
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1150531
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1150626
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1150801
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1151166
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1151610
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1152207
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1152246
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1152325
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``1152445
osetPrologue!`2`n`(_$,OutputBox)->OutputBox`dFormatter(F)``1152547
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``1152673
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``1152839
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1153034
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1153180
osetRefined!`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1153490
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1153633
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1153755
osetRow!`4`n`(_$,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1153837
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1153989
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1154083
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1154159
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1154439
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1154556
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1154746
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1154888
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``1155244
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1155336
osetTransform!`2`n`(_$,STransform(PT))->Void`dScene(PT)``1155475
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1155573
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1155744
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1155884
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1156025
osetVert`2`n`(_$,List(S))->Void`cPoset(S)``1156215
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1156265
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1156344
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1156466
osetelt!`2`n`(_$,S)->S`dReference(S)``1156601
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,"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,"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`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(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`(_$,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1156685
osetelt!`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1156780
osetelt!`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1156900
osetelt!`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1157017
osetelt!`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1157133
osetelt!`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1157250
osetelt!`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1157369
osetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1157487
osetelt!`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1157677
osetelt!`3`x`(_$,Symbol,Any)->Any`dLibrary``1157796
osetelt!`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`1157923
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(_$,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1158217
osetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1158372
osetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1158540
osetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1158730
osetelt!`4`x`(_$,Integer,List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1158912
osetelt!`4`x`(_$,Integer,List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159038
osetelt!`4`x`(_$,List(Integer),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159253
osetelt!`4`x`(_$,List(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159379
osetelt!`4`x`(_$,List(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159726
osetelt!`4`x`(_$,List(Segment(Integer)),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159868
osetelt!`4`x`(_$,List(Segment(Integer)),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1160083
osetelt!`4`x`(_$,List(Segment(Integer)),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1160290
osetelt!`4`x`(_$,Segment(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1160496
osetelt!`4`x`(_$,Segment(Integer),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1160638
osetelt!`4`x`(_$,Segment(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1160844
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1160994
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1161141
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1161314
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1161439
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1161562
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1161677
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1161756
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1161891
osetref`2`n`(_$,S)->S`dReference(S)``1162034
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1162095
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1162210
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1162337
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1162418
osetsubMatrix!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1162648
osetsubPencil!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,_$)->_$`dLinearMultivariateMatrixPencil(R)``1162789
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1162937
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1163014
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1163094
oshade`1`n`(Point(R))->R`pPointPackage(R)``1163224
oshade`1`x`(_$)->Integer`dPalette``1163553
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1163635
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1163678
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1163788
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1164068
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(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)``1164193
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(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`(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)))`1164302
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(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
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1164479
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1164585
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`1164653
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1164745
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1164862
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1164970
oshift`2`x`(_$,Integer)->_$`dFloat``1165071
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1165148
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1165209
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1165272
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1165371
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1165465
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1165599
oshowElements`2`x`(NonNegativeInteger,_$)->OutputForm`dStream(S)`has(S,SetCategory)`1165854
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1165964
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1166036
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1166281
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``1166417
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1166486
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1166759
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1167012
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1167132
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1167344
osierpinskiDivide`2`n`(_$,NonNegativeInteger)->_$`dSceneIFS(PT)``1167489
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1167671
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1167723
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1167775
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1167832
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1167868
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1168104
osign`1`x`(_$)->Integer`cOrderedRing``1168184
osign`1`x`(_$)->Integer`dPermutation(S)``1168299
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1168395
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1168485
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1168615
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1168750
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1168912
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1169138
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
osimpMod`3`n`(List(_$),SparseEchelonMatrix(JB,_$),List(_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1169239
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``1169389
osimpleCells`1`n`(_$)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1169482
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1169614
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1169795
osimplicialComplex`1`n`(List(VS))->_$`dFiniteSimplicialComplex(VS)``1169987
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1170018
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1170070
osimplicialJoin`3`n`(_$,_$,Boolean)->_$`dFiniteSimplicialComplex(VS)``1170122
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))`1170514
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1170585
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1170914
osimplify`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``1171125
osimplify`1`n`(_$)->_$`dGroupPresentation``1171314
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1171799
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1172103
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1172167
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
osimplify`2`n`(List(_$),SparseEchelonMatrix(JB,_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1172637
osimplify`2`n`(_$,Boolean)->_$`dGroupPresentation``1173088
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1173125
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1173811
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1174501
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1174599
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1174684
osin`1`n`(E)->_$`dFourierComponent(E)``1174771
osin`1`n`(F)->F`pElementaryFunction(R,F)``1174837
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)``1174896
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1174961
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1175026
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1175092
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1175160
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1175227
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1175278
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1175380
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1175859
osingleFace`1`n`(List(PT))->_$`dSceneIFS(PT)``1176444
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1176541
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1176727
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1176983
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1177050
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1177120
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1177201
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1177303
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1177392
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1177463
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1177544
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1177625
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1177703
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1177783
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1177852
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1177915
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`2`n`(Integer,Integer)->_$`cSPointCategory``1178030
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1178122
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->_$`cSPointCategory``1178231
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1178324
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1178434
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1178511
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1178666
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1178846
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1179026
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1179206
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1179309
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``1179405
osize`0`x`()->NonNegativeInteger`cFinite``1179469
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1179533
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1179600
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1179667
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1179739
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1179781
oski`1`n`(UT)->_$`dSKICombinators(UT)``1179972
oski`2`n`(_$,_$)->_$`dSKICombinators(UT)``1180010
oslash`2`n`(_$,_$)->_$`dOutputForm``1180063
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1180161
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1180420
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``1180614
osmesh`2`n`(List(List(PT)),Boolean)->_$`dSceneIFS(PT)``1180700
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1180813
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1180875
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1180952
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1181097
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1181118
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1181139
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1181188
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1181226
osolutionVector`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1181268
osolutionVector`2`n`(_$,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1181373
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1181531
osolveFor`2`n`(_$,JB)->Union(_$,"failed")`cJetBundleFunctionCategory(JB)``1181802
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1181894
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1182044
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)``1182192
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)``1182308
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1182721
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1182936
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1183151
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1183400
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1183816
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1184081
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1184396
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``1184661
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))`1184926
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1185122
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))`1185318
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1185514
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1185710
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1185913
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1186116
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1186372
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1186582
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1186762
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1186799
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1187009
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1187139
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1187338
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1187475
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1187628
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1187768
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1187946
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1188063
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1188179
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1188364
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1188569
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1188683
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1188864
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1189079
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1189218
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1189444
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1189585
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1189726
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1189931
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1190085
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1190300
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1190441
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1190650
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1190798
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1190946
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1191155
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1191364
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1191483
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)``1191631
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)``1191733
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1192159
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1192958
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1193710
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1194278
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1194691
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1195104
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1195430
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)``1195689
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1196275
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1196570
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1196865
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1197113
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1197298
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`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable),has(S,OrderedSet))`1197360
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`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1197438
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osortLD`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1197522
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``1197622
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1197634
osort`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1197918
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1198031
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1198133
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))`1198330
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)`1198413
osortedPurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1198504
ospace`0`x`()->_$`dCharacter``1198663
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1198715
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1198911
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1199022
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1199103
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1199184
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1199657
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1200034
ospecial_order`2`n`(S,List(UP))->Integer`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ospecial_order`2`x`(_$,List(UP))->Integer`cFunctionFieldCategory(F,UP,UPUP)``1200101
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1200311
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1200416
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1200581
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1200752
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1200927
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1201135
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1201403
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1201724
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1201851
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1202040
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1202194
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1202383
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1202533
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1202751
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1202881
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1203133
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1203404
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1203740
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1203934
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1204128
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1204219
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1204485
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1204752
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1205555
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1205702
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1205882
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1205972
ospnt`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1206068
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1206160
osqfrFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``1206269
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1206424
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1206503
osqrt`1`n`(_$)->_$`dInnerPrimeField(p)``1206572
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1206842
osqrt`1`x`(Integer)->_$`cRealClosedField``1206884
osqrt`1`x`(_$)->_$`cRadicalCategory``1206926
osqrt`1`x`(_$)->_$`cRealClosedField``1207066
osqrt`1`x`(_$)->_$`dPrimeField(p)``1207108
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1207282
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1207407
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1207454
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1207629
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1207804
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1207910
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1208003
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1208402
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1208573
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1208709
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1208822
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1209335
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1209450
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1209536
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1209642
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1209820
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1210010
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1210184
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1210517
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1210611
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1210796
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1210915
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1211086
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1211220
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1211354
ostack`1`x`(List(S))->_$`dStack(S)``1211487
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1211643
ostar`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``1212318
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1212431
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1212875
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1213000
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1213106
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1213212
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1213318
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->_$`dBitStreamFrame``1213427
ostarts`1`n`(String)->_$`dBitStreamFrame``1213455
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1213525
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1213561
ostatistics`0`n`()->Void`pUnittestCount``1213771
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1213912
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1213977
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1214119
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1214223
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1214329
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1214418
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1214691
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1214985
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215076
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1215167
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1215258
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``1215352
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?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower: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
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
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
ostoseInvertibleSet`2`x`(P,TS)->List(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
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->_$`dSTransform(PT)``1215419
ostransform`1`n`((PT)->PT)->_$`dSTransform(PT)``1215602
ostransform`1`n`(List(DoubleFloat))->_$`dSTransform(PT)``1215709
ostransform`1`n`(List(List(DoubleFloat)))->_$`dSTransform(PT)``1215777
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->_$`dSTransform(PT)``1215853
ostream`1`n`(_$)->Stream(R)`cSequenceCategory(R)``1216137
ostream`1`x`(()->S)->_$`dStream(S)``1216187
ostream`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``1216338
ostream`2`x`((S)->S,S)->_$`dStream(S)``1216413
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1216651
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1216739
ostring`1`n`(OutputForm)->String`pOutputFormTools``1216828
ostring`1`x`(Integer)->_$`cStringCategory``1216941
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1217025
ostring`1`x`(_$)->String`dSymbol``1217162
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1217265
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1217408
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1217493
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1217739
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1217898
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1218021
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1218278
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1218535
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1218826
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1219105
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1219538
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1219971
ostruveH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1220033
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1220096
ostruveL`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1220250
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->_$`dSceneIFS(PT)``1220405
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1220520
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1220580
ostyle`1`x`(String)->_$`dDrawOption``1220725
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1220901
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1221106
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1221206
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1221306
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1221415
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)``1221524
osubMatrix`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1221736
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1221876
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1222014
osubPencil`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``1222192
osubPencil`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1222316
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1222428
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1222528
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1222628
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1222771
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1222914
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1223065
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1223232
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1223420
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1223633
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1223746
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1224077
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1224225
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1224368
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1224718
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1224814
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1224894
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1224990
osub`2`n`(_$,_$)->_$`dOutputForm``1225086
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),_$,Boolean,Boolean)->Void`cFiniteGraph(S)``1225165
osubdivide`1`n`(_$)->_$`dSceneIFS(PT)``1225444
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1225596
osubordinationConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``1225681
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1225809
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1226005
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1226148
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1226458
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1226564
osubsetLattice`1`n`(List(S))->_$`dSubsetLattice(S,top)``1226735
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``1226775
osubspace`0`n`()->_$`dSubSpace(n,R)``1226861
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1226900
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1227038
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1227222
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(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)``1227435
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(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
osubst_var`3`n`(_$,List(Symbol),List(Symbol))->_$`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1227551
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1227681
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1227776
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1227936
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``1228069
osubst`3`n`(_$,_$,_$)->_$`dLambda(UT)``1228185
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1228241
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1228408
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1228519
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1228687
osubtract`2`n`(_$,_$)->_$`dOrientedFacet``1228813
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1228890
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1229012
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1229173
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1229281
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1229452
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1229525
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1229660
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1229802
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1229949
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``1230215
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``1230400
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``1230553
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``1230690
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1230773
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1230967
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1231226
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1231460
osum`1`n`(_$)->_$`dOutputForm``1231658
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1231741
osum`2`n`(_$,_$)->_$`dOutputForm``1231923
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1232038
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1232145
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1232247
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1232324
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1232506
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1232583
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1232765
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1232844
osummands`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``1233000
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1233132
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1233238
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1233394
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1233500
osunion`2`n`(_$,_$)->_$`dSBoundary(PT)``1233656
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1233887
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1234099
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1234311
osup`1`x`(_$)->R`cIntervalCategory(R)``1234495
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1234550
osuper`2`n`(_$,_$)->_$`dOutputForm``1234659
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1234742
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1234852
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``1234990
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1235077
osvec`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1235212
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1235305
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`1235415
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1235548
oswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1235652
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1235779
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1235920
oswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1236018
oswapRows!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1236139
oswapRowsColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1236274
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1236413
oswap`1`x`(_$)->_$`dEquation(S)``1236483
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1236567
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1236689
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1236822
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1237021
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1237155
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1237243
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1237299
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`cKernelCategory(S)``1237388
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1237504
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1237579
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``1237662
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1237756
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1237869
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1238006
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1238208
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1238410
osymmetricGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``1238792
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1238935
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1239208
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1239414
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1239602
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1239830
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1240038
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1240286
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1240394
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1240499
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1241065
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1241598
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1241816
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1241906
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1241995
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1242154
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1242187
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1242259
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1242465
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1242771
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1243067
otable`1`n`((Key)->SingleInteger)->_$`dXHashTable(Key,Entry)``1243140
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(_$))->TwoDimensionalArray(_$)`dJetVectorField(JB,D)``1243476
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1243565
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1243672
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1243747
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1243837
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)``1243946
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1244074
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1244194
otails`1`x`(_$)->List(_$)`dList(S)``1244279
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1244397
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1244495
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1244599
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1244707
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1244794
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1244904
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1244986
otan`1`n`(F)->F`pElementaryFunction(R,F)``1245160
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)``1245222
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1245290
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1245358
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1245427
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1245498
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1245565
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1245619
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1245721
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1245830
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1245919
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)``1245993
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1246077
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1246161
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1246242
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1246325
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1246394
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1246460
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1246616
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1246711
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1246830
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1247036
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1247242
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1247448
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1247654
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1247810
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1247991
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1248059
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1248200
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1248287
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1248400
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1248643
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1248828
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1248916
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1249002
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylor`4`n`((Integer)->R,Symbol,R,UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries1(R)``1249169
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1249356
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1249541
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1249717
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1250086
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1250185
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1250582
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))->_$`cTensorPowerCategory(n,R,M)``1250867
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``1250976
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``1251042
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->_$`cFiniteGraph(S)``1251140
oterms`1`x`(_$)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1251231
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1251391
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1251750
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1251930
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1252159
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1252381
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1252498
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1252564
otestEquals`2`n`(String,String)->Void`pUnittest``1252854
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1253130
otestLibraryError`1`n`(String)->Void`pUnittest``1253260
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1253379
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1253579
otestNotEquals`2`n`(String,String)->Void`pUnittest``1253692
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1253791
otestRealEquals`2`n`(String,String)->Void`pUnittest``1254017
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1254233
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1254413
otestTrue`1`n`(String)->Void`pUnittest``1254488
otest`1`x`(_$)->Boolean`dBoolean``1254552
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1254648
otestcase`1`n`(String)->Void`pUnittestCount``1254806
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1254950
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)``1254972
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1254994
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)``1255016
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)``1255038
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)``1255060
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)``1255082
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)``1255104
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1255126
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1255148
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)``1255170
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)``1255192
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)``1255214
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)``1255236
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)``1255258
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)``1255280
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1255302
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)``1255324
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)``1255346
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)``1255368
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1255390
otestsuite`1`n`(String)->Void`pUnittestCount``1255552
otex`1`n`(_$)->List(String)`dTexFormat``1255703
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1255773
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1255837
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1256113
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1256221
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1256424
otitle`1`x`(String)->_$`dDrawOption``1256545
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1256687
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1256892
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1257049
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1257210
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1257260
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1257471
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1257596
otoPermutationIfCan`1`n`(_$)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1258436
otoPermutationIfCan`2`n`(_$,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1258646
otoPermutationIfCan`3`n`(_$,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1258856
otoPermutation`1`n`(_$)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1259078
otoPoint`1`n`(_$)->_$`cSPointCategory``1259175
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1259349
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1259474
otoScale`1`x`(Boolean)->_$`dDrawOption``1260290
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1260520
otoStringConven`2`n`(_$,List(String))->String`dLambda(UT)``1260729
otoStringUnwrapped`1`n`(_$)->String`dILogic``1261020
otoStringUnwrapped`1`n`(_$)->String`dLatticeJoinOfMeets``1261099
otoStringUnwrapped`1`n`(_$)->String`dLatticeMeetOfJoins``1261178
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`n`(_$)->String`cVarCat``1261257
otoString`1`n`(_$)->String`dILogic``1261310
otoString`1`n`(_$)->String`dLambda(UT)``1261380
otoString`1`n`(_$)->String`dLatticeJoinOfMeets``1261599
otoString`1`n`(_$)->String`dLatticeMeetOfJoins``1261669
otoString`1`n`(_$)->String`dSKICombinators(UT)``1261739
otoString`1`n`(_$)->String`dSceneNamedPoints(PT)``1261753
otoString`1`x`(_$)->String`cFloatingPointSystem``1261829
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(_$,NonNegativeInteger)->String`cFloatingPointSystem``1261902
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1262015
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1262180
otoVector`1`n`(_$)->_$`cSPointCategory``1262469
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1262636
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1262761
oto_UP`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1263176
otoggleAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1263308
otoggleDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1263395
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1263450
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1263540
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
otop`1`x`(_$)->S`cStackAggregate(S)``1263742
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1263912
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1264072
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1264190
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1264430
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1264741
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1264847
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1264887
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1265093
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1265137
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1265192
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1265268
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1265349
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1265482
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1265615
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1265752
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1265895
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1266027
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1266241
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1266345
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1266488
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1266592
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1266856
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1267039
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1267270
otower`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``1267306
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1267443
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1267548
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1267708
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1267877
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1268046
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1268162
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1268285
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1268395
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1268532
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1268631
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1268927
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1268975
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1269103
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransformColumns!`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``1269227
otransformColumns!`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``1269314
otransformRows!`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``1269427
otransformRows!`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``1269510
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1269619
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1269657
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1269761
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1269848
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1269945
otransformationMatrix`1`n`(_$)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1270139
otransition_matrices`1`n`(_$)->List(Matrix(Integer))`dChainComplex``1270272
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1270349
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1270461
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1270687
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`n`(_$)->_$`dSquareMatrix(ndim,R)``1271150
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1271223
otranspose`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1271293
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1271365
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1271624
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1271930
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1272634
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1273332
otree`1`x`(List(S))->_$`dTree(S)``1273679
otree`1`x`(S)->_$`dTree(S)``1273754
otree`2`x`(S,List(_$))->_$`dTree(S)``1273833
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1273925
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1274170
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1274261
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1274352
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``1275387
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1275433
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1275627
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1275983
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1276073
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1276447
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1276688
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1276858
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1277173
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1277488
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1277617
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1277746
otrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1277934
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1278125
otrueEqual`2`x`(_$,_$)->Boolean`dAlgebraicNumber``1278227
otrue`0`x`()->_$`cLogic``1278307
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1278349
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1278438
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1278527
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1278616
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1278749
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1278912
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1279077
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1279198
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1279301
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1279447
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1279641
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1279831
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1280112
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1280383
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1280748
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1281111
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1281249
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1281393
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1281610
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1281825
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1281903
otubeRadius`1`x`(Float)->_$`dDrawOption``1281994
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1282140
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1282355
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1282448
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1282764
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1282866
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1283186
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1283277
otype`1`n`(_$)->Symbol`cJetBundleCategory``1283364
oucodeToString`1`x`(Integer)->_$`dString``1283474
ouentries`1`x`(_$)->List(SingleInteger)`dString``1283617
ounary?`1`x`(_$)->Boolean`dBasicOperator``1283947
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1284001
ounbind`1`n`(_$)->_$`dLambda(UT)``1284052
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1284143
oundirectedGraph`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``1284385
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1284562
oundirectedGraph`1`n`(List(S))->_$`dUndirectedGraph(S)``1284666
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))))->_$`dUndirectedGraph(S)``1284938
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dUndirectedGraph(S)``1285053
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1285123
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1285312
ouniform01`0`n`()->Float`pRandomFloatDistributions``1285374
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1285414
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1285453
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1285492
ounion`1`n`(List(_$))->_$`dSBoundary(PT)``1285536
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1285680
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1285766
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1285836
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1286022
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1286208
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(_$)->Boolean`cEntireRing``1286338
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(_$)->_$`cEntireRing``1286430
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``1286501
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1286815
ounitPart`1`n`(_$)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1287016
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1287170
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1287212
ounitVector`1`n`(_$)->_$`cSPointCategory``1287357
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1287487
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1287581
ounit`1`x`(List(Float))->_$`dDrawOption``1287693
ounit`1`x`(_$)->R`dFactored(R)``1287847
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->_$`cFiniteGraph(S)``1287914
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1288167
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1288263
ounits`1`n`(_$)->List(Float)`dGraphImage``1288381
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1288566
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1288770
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1289071
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1289325
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1289592
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1289690
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1289849
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1290008
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1290188
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1290436
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1290599
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1290708
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1290881
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1290999
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1291128
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1291922
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1292189
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1292293
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1292397
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1292568
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1292663
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1292870
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1293016
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1293073
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1293112
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1293208
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1293363
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1293522
ounparse`1`n`(_$)->String`dInputForm``1293816
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1293981
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1294332
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1294857
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1295458
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1295581
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->_$`cUnivariatePolynomialCategory(R)``1295711
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1295839
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1296072
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1296107
oupdate!`2`n`(_$,SingleInteger)->_$`dHashState``1296142
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1296289
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1296415
oupperCase!`1`x`(_$)->_$`cStringAggregate``1296599
oupperCase?`1`x`(_$)->Boolean`dCharacter``1296728
oupperCase`0`x`()->_$`dCharacterClass``1296839
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1296963
oupperCase`1`x`(_$)->_$`dCharacter``1297044
oupperSet`1`n`(_$)->_$`cPoset(S)``1297213
ouppertriangular?`2`n`(_$,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1297355
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1297435
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1297564
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1297761
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1297894
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1298101
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1298273
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1298493
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1298628
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1298703
ovalidate`1`n`(_$)->Boolean`dChainComplex``1298868
ovalidate`1`n`(_$)->Boolean`dCoChainComplex(VS)``1298984
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->SingleInteger`dHashState``1299111
ovalue`1`n`(_$)->Symbol`dILogic``1299191
ovalue`1`n`(_$)->Symbol`dLatticeJoinOfMeets``1299463
ovalue`1`n`(_$)->Symbol`dLatticeMeetOfJoins``1299735
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1300007
ovalue`1`x`(_$)->Integer`dOrdSetInts``1300070
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1300138
ovalue`1`x`(_$)->String`dQueryEquation``1300201
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1300291
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1300371
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1300448
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1300716
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1300975
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1301143
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1301356
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1301624
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1301883
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1302052
ovarList`1`n`(_$)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1302265
ovarList`1`n`(_$)->List(VarSet)`dFreeMagma(VarSet)``1302333
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1302408
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1302476
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1302551
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1302655
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1302730
ovar`1`n`(String)->_$`cVarCat``1302811
ovar`2`n`(String,ILogic)->_$`cVarCat``1302863
ovariable?`1`n`(_$)->Boolean`dSKICombinators(UT)``1302919
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1302969
ovariableName`1`x`(Symbol)->_$`dGuessOption``1303102
ovariableOf`1`n`(_$)->Symbol`dSimpleCell(TheField,ThePols)``1303266
ovariable`0`n`()->Symbol`dVariable(sym)``1303323
ovariable`1`n`(String)->_$`dLatticeJoinOfMeets``1303367
ovariable`1`n`(String)->_$`dLatticeMeetOfJoins``1303395
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1303423
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1303496
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1303613
ovariable`1`x`(_$)->Symbol`dQueryEquation``1303712
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1303807
ovariablesOf`1`n`(_$)->List(Symbol)`dCell(TheField)``1304010
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1304077
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(NonNegativeInteger)->List(_$)`cJetBundleCategory``1304193
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``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)``1304281
ovariables`1`n`(_$)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1304380
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1304440
ovariables`1`n`(_$)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1304515
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1304625
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1304714
ovariables`1`x`(List(_$))->List(Symbol)`cFunctionSpace(R)``1304830
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1304945
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1305023
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(_$)`cJetBundleCategory``1305158
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1305285
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1305656
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1305792
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1305886
ovconcat`1`n`(List(_$))->_$`dOutputForm``1306142
ovconcat`2`n`(List(_$),NonNegativeInteger)->_$`dOutputBox``1306219
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1306293
ovconcat`3`n`(List(_$),NonNegativeInteger,Integer)->_$`dOutputBox``1306376
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1306841
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1307024
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``1307216
ovector`1`n`(_$)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1307280
ovector`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1307347
ovector`1`x`(List(R))->_$`dVector(R)``1307414
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1307478
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1307687
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1307824
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)``1308051
overtSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1308246
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1308392
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1308463
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1308583
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1308740
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1308858
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1309013
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1309107
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1309242
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1309450
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1309683
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1309762
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1309870
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1309967
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1310105
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1310228
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1310360
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1310526
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1310607
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1310719
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1310985
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``1311344
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1311559
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1311819
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1312175
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1312581
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1313081
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1313581
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1313728
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1313879
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1313921
ovoid`0`x`()->_$`dVoid``1313942
ovspace`1`n`(Integer)->_$`dOutputForm``1313987
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1314051
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1314235
oweberE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1314295
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1314356
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1314499
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1314664
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1314820
oweierstrassPInverse`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1315015
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1315211
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1315377
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1315424
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1315526
oweierstrassPPrime`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1315628
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1315727
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1315769
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1315848
oweierstrassP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1315927
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1316007
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1316156
oweierstrassSigma`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1316202
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1316283
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1316445
oweierstrassZeta`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1316490
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1316569
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``1316847
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1317036
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1317168
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1317239
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1317306
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1317379
oweightedDistanceMatrix`1`n`(_$)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1317618
oweightedGraph`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``1317804
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->_$`dWeightedGraph(S,W)``1317959
oweightedGraph`1`n`(List(S))->_$`dWeightedGraph(S,W)``1318063
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1318335
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))))->_$`dWeightedGraph(S,W)``1318450
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1318592
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1318662
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1318849
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1318889
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1319013
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1319248
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1319383
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1319448
owhittakerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1319521
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1319595
owhittakerW`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1319668
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1319742
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1319806
owholePart`1`x`(_$)->R`dPartialFraction(R)``1320015
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1320100
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1320253
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1320412
owidth`1`n`(_$)->NonNegativeInteger`dOutputBox``1320503
owidth`1`x`(_$)->R`cIntervalCategory(R)``1320565
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1320620
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1320709
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1320880
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1321087
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1321304
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1321526
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1321693
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1321806
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1321985
owriteLine!`1`x`(_$)->String`dTextFile``1322021
owriteLine!`2`x`(_$,String)->String`dTextFile``1322200
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1322363
owriteObj`2`n`(_$,String)->Void`dScene(PT)``1322426
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1322552
owriteSvgQuantised`2`n`(_$,String)->Void`dScene(PT)``1322587
owriteSvg`2`n`(_$,String)->Void`dScene(PT)``1322710
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1322824
owriteVRML`2`n`(_$,String)->Void`dScene(PT)``1323110
owriteX3d`2`n`(_$,String)->Void`dScene(PT)``1323226
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1323342
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1323561
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1323800
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1324042
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1324347
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1324626
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1324934
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1325216
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1325362
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)``1325513
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1325636
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1325890
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1325997
oxform`2`n`(_$,PT)->PT`dSTransform(PT)``1326104
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1326187
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1326234
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1326288
oxftestEquals`2`n`(String,String)->Void`pUnittest``1326335
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1326382
oxftestLibraryError`1`n`(String)->Void`pUnittest``1326429
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1326482
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1326529
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1326579
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1326626
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1326677
oxftestTrue`1`n`(String)->Void`pUnittest``1326724
oxmlAttribute`2`n`(String,List(String))->_$`dXmlAttribute``1326769
oxmlAttribute`2`n`(String,String)->_$`dXmlAttribute``1326887
oxmlElement`3`n`(String,List(_$),List(XmlAttribute))->_$`dXmlElement``1326985
oxmlElement`3`n`(String,String,List(XmlAttribute))->_$`dXmlElement``1327095
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1327191
oxor`2`x`(_$,_$)->_$`cBitAggregate``1327248
oxor`2`x`(_$,_$)->_$`dBoolean``1327354
oxor`2`x`(_$,_$)->_$`dSingleInteger``1327453
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1327566
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1327821
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1327946
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1328053
oyellow`0`x`()->_$`dColor``1328160
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1328239
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1328368
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1328505
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1328776
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1328883
ozag`2`n`(_$,_$)->_$`dOutputForm``1328991
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1329092
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1329143
ozero?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1329199
ozero?`1`x`(_$)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1329299
ozero?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1329398
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1329472
ozero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1329568
ozero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1329633
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1329754
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1329971
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1330142
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1330229
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1330314
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1330483
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1330645
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1330719
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1330819
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1330943
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1331174
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1331349
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1331581
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1331789
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1332007
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1332326
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1332522
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1332862
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1333214
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1333362
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1333869
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1334373
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1334697
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1335065
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1335178
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1335291
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1335346
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1335395
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1335459
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1335531
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1335886
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1336185
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1336524
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1336877
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``1337234
ozeta`0`n`()->_$`dDirichletRing(Coef)``1337476
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1337542
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1337583
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1337744
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1337790
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1337841
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1338138
o~=`2`x`(_$,_$)->Boolean`cBasicType``1338194
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`dDirectedGraph(S)``1338259
o~`1`n`(_$)->_$`dILogic``1338568
o~`1`n`(_$)->_$`dMultifunctionGraph(S)``1338838
o~`1`x`(_$)->_$`cLogic``1339147
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1339210
o~`1`x`(_$)->_$`dSingleInteger``1339263
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1339354
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1339450
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1339534
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1339608
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`0
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`1339643
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1339732
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1339846
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1339961
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1340172
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1340382
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1340469
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1340597
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1340721
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1340808
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1340877
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1341014
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`1341112
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1341292
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1341406
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1341976
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1342055
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1342326
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1342433
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1342497
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1342591
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1342974
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1343071
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1343176
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1343580
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1343669
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1343734
pCommonOperators`0`n`()->etc``COMMONOP`1343898
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1344104
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1344220
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1344317
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1344443
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1344520
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1344592
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1345366
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1345740
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1345874
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1345962
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1346412
pCubicalComplexFactory`0`n`()->etc``CUBECF`1346670
pCycleIndicators`0`x`()->etc``CYCLES`1346841
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1346878
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1346946
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1346982
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`1347181
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1347322
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1347358
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1347496
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1347608
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1348331
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1348649
pDisplayPackage`0`x`()->etc``DISPLAY`1348769
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1348874
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1349167
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1349244
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1349307
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1349345
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`0
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1349472
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`0
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1349744
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1349845
pDrawComplex`0`x`()->etc``DRAWCX`1349948
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1350034
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1350452
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1350488
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1350524
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1350807
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1350937
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1351117
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1351289
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1351405
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1351699
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1351762
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1351926
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1352099
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1352168
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1352282
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1352381
pErrorFunctions`0`x`()->etc``ERROR`1352458
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1354412
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1355268
pExport3D`0`n`()->etc``EXP3D`1355442
pExportXml`0`n`()->etc``XML`1355539
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`0
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1355598
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1355664
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`1355858
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1356040
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1356335
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1356393
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1356518
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1356609
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1356791
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1357173
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1357479
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1357593
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1357868
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1357926
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`1358089
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1358204
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`1358292
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1358389
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1358566
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1358810
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1359088
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1359256
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1359358
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1359426
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1359739
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1359829
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1360134
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`0
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1360268
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1360628
pFortranCodePackage1`0`n`()->etc``FCPAK1`1360949
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1361564
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1361612
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1361722
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1361971
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`1362133
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1362286
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`1362554
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1362646
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`1362693
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1362754
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1363148
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1363236
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1363324
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1363457
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1363587
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1363750
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1363870
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`1363979
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1364190
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1364238
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`1364330
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`1364746
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1365162
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1365227
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1365336
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1365418
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1365625
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1365700
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1365771
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1365917
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1366488
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1366627
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1366711
pGenerateEllipticIntegrals`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1366875
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1366958
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1367108
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1367258
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1367378
pGnuDraw`0`x`()->etc``GDRAW`1367753
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`1368020
pGraphicsDefaults`0`x`()->etc``GRDEF`1368065
pGrayCode`0`n`()->etc``GRAY`1368160
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1368302
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1369338
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1369637
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1370673
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`0
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1370952
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`1371025
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1371125
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1371209
pGuessInteger`0`x`()->etc``GUESSINT`1371289
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1371360
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1371442
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1371533
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`1371606
pHallBasis`0`x`()->etc``HB`1371774
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1372307
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1372352
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1372516
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1372826
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1372901
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1372977
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1373040
pInfinity`0`x`()->etc``INFINITY`1373105
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1373187
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1373328
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1373498
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1373809
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`1373970
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1374225
pInnerModularHermitePade`0`n`()->etc``IMODHP`1374544
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1374927
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1375198
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1375346
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1375518
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1376109
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1376175
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1376217
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1376402
pIntegerBits`0`n`()->etc``INTBIT`1376446
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1376514
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1376625
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1377006
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1377060
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1377142
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1377350
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1377434
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`0
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1377560
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1377743
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1377910
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1378028
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1378158
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1378291
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1378565
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1378768
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1378917
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`1378991
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1379531
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1379592
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1380166
pJFriCASSupport`0`n`()->etc``JFRICAS`1380311
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1380655
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`1381025
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1381420
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1381485
pLLLReduction`0`n`()->etc``LLLRED`1381644
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1381908
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1382109
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1382250
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`1382311
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1382844
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1383079
pLiftLinearDependence`3`n`(F:Field,Q:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,Q,UP)`LLINDEP`0
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1383933
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`0
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1384262
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1384298
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1384472
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1384645
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1384817
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1384952
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1385209
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`1385503
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1385579
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1385674
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1385751
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1385900
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1386051
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1386075
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`1386493
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`1386582
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1386617
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1386993
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1387375
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1387612
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1387674
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1387903
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1387968
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1388105
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1388167
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1388204
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1388241
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1388278
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1388315
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1388352
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`1388389
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1388543
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1388697
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1388805
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1389026
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1389079
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`1389149
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1389516
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1389652
pModularFactorization`0`n`()->etc``MODFACT`1389883
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1390002
pModularHermitePade`0`n`()->etc``MODHP`1390096
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1390386
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1390528
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1390634
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1390767
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1390815
pMrvLimitPackage`0`n`()->etc``MRVLIM`1391081
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1391145
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1391227
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`1391514
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1391572
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1391736
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1392003
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1392256
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1392534
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1392766
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1393082
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1393408
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1393543
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1393697
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1393931
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1394092
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1394209
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`1394244
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1394385
pNumberFormats`0`n`()->etc``NUMFMT`1394624
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1394777
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1394843
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1395115
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1395254
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1395489
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1395671
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1395772
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1400487
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1403854
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1404021
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1404087
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1404268
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1404427
pOpenMathPackage`0`x`()->etc``OMPKG`1404502
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1404609
pOperationsQuery`0`x`()->etc``OPQUERY`1404979
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1405062
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1405135
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1405265
pOutputFormTools`0`n`()->etc``OFTOOL`0
pOutputPackage`0`x`()->etc``OUT`1405342
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1405399
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1405942
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1406277
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1406602
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`0
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1406671
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1407745
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`0
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1407780
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1407815
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`0
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1407850
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1408121
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1408286
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1408344
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1408372
pPatternMatchAssertions`0`x`()->etc``PMASS`1408404
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1408492
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1408569
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1408639
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1408834
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1408903
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`1408970
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1409043
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1409121
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1409192
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1409240
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1409309
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1409370
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1409442
pPermutationGroupExamples`0`x`()->etc``PGE`1409539
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1409945
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1410106
pPlotTools`0`n`()->etc``PLOTTOOL`1410260
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1410304
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1410339
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1410374
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1410476
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`1410576
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1410678
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1410760
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1411471
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`1411584
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`1411881
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1412005
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1412192
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1412720
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1412939
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1413083
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1413410
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1413464
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1413518
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`1413613
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1413689
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1413979
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1414219
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1414641
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1414874
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1415091
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1415337
pPrimGCD`0`n`()->etc``PRIGCD3`1415515
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1415788
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1415941
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1416040
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1416271
pPrintPackage`0`x`()->etc``PRINT`1416337
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1416402
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1416519
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1417270
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`1417440
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1417534
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1417571
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`1418806
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1418980
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1419178
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`0
pRadicalEigenPackage`0`x`()->etc``REP`1419287
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1419569
pRadixUtilities`0`x`()->etc``RADUTIL`1419742
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1419809
pRandomFloatDistributions`0`n`()->etc``RFDIST`1419859
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1419924
pRandomNumberSource`0`x`()->etc``RANDSRC`1419975
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1420167
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1420748
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1420875
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1420997
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1421080
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1421134
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1421207
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1421252
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1421350
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1421432
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1421495
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1421646
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1421729
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1421794
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1422221
pRealSolvePackage`0`n`()->etc``REALSOLV`1422322
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1422440
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1422746
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`1423051
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1423216
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`1423399
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`1423501
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1423616
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`1423767
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`1425072
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1425230
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1425285
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1425340
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1425849
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1426409
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1426508
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`0
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1426660
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1426739
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1426842
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1426920
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1426969
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1427039
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1427147
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1427254
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1427303
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1427663
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`0
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1427989
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`1428105
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`1428288
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`1429514
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1429774
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1430074
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1430238
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1430444
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1430506
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1430569
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1430634
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1430780
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1430986
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1431150
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1431338
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1431459
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1431731
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1431799
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1432006
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1432288
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1432413
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1433273
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1433473
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1433893
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1433947
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1434013
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1434060
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1434205
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1434260
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1434306
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1434426
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1434542
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1434671
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1434767
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1434842
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1435392
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1436229
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1436281
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1436373
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1436499
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1436634
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1437100
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1437285
pTubePlotTools`0`n`()->etc``TUBETOOL`1437437
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`1437514
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1437628
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1437796
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1438138
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1438268
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1438344
pUnittestCount`0`n`()->etc``TESTCNT`1438485
pUnittest`0`n`()->etc``TESTUNIT`1438767
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`1438994
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1439172
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`1439316
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1439502
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1439649
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1439995
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1440287
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1440953
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1441104
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1441233
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1441410
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1441562
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1441640
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1441707
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1441941
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1442247
pViewportPackage`0`n`()->etc``VIEW`1442336
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1442463
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1443040
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1443393
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1443685
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`1443863
pcompCode`0`n`()->etc``COMPCODE`1445166
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1445999
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1446032
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1446161
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1446283
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1446878
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1447032
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1447546
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1447640
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1447687
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1447743
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1447801
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1447971
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1448200
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1448319
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1448460
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1448679
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1448779
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1449221
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1449309
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1449630
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1449761
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1449890
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1451197
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1451310
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1453661
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1453819
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1453989
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1454036
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1454408
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1454559
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1454950
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1455108
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1455186
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1455582
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1455671
xField&`1`n`(Field)->etc`(S)`FIELD-`1455841
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1456064
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1456307
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1456538
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1456710
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-`1458230
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1458461
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1458522
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1458602
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1458641
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1458764
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1458916
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1459120
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1460136
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1460250
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1460347
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1460626
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1461451
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1461574
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1461794
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1462202
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1462286
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1462366
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1462674
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1463030
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1463572
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1463685
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1464217
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1464278
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1464538
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1464864
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1464931
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1465222
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1465895
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1466320
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1466430
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1467092
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1467158
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1467375
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1468061
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1468328
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1468517
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1468605
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1468712
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1469176
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1469783
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1469968
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1470036
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1470147
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1470256
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1470453
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1470600
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1470958
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1471087
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1471306
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1472105
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1472197
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1472332
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1472653
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1472760
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1472879
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1473096
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-`1473241
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1473846
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1474312
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1474438
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1474577
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1474670
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1474742
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1474838
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1475134
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-`1475246
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1475476
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1475925
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-`1476395
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1478637
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1478816
xRng&`1`n`(Rng)->etc`(S)`RNG-`1478993
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1479219
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1479550
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1479877
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-`1480150
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1480407
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1480670
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1480775
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-`1480897
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1480928
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1480997
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-`1481059
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1482127
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1482177
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1482723
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1483206
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1483380
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1483482
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1483779
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1483928
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1484276
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1484577
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1484960
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1485060
