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cAbelianMonoid`0`x`()->Category``ABELMON`696
cAbelianSemiGroup`0`x`()->Category``ABELSG`814
cAggregate`0`x`()->Category``AGG`964
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cAlgebraicallyClosedField`0`x`()->Category``ACF`1568
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cBagAggregate`1`x`(Type)->Category`(S)`BGAGG`1990
cBasicType`0`x`()->Category``BASTYPE`2215
cBiModule`2`x`(Ring,Ring)->Category`(R,S)`BMODULE`2330
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cCachableSet`0`x`()->Category``CACHSET`2889
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cCharacteristicZero`0`x`()->Category``CHARZ`3384
cCoercibleTo`1`x`(Type)->Category`(S)`KOERCE`3419
cCollection`1`x`(Type)->Category`(S)`CLAGG`3553
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cConvertibleTo`1`x`(Type)->Category`(S)`KONVERT`4705
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cFileCategory`2`x`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`12258
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cFortranFunctionCategory`0`n`()->Category``FORTFN`16502
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cFreeModuleCategory`2`x`(Ring,OrderedSet)->Category`(R,S)`FMCAT`18451
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cFullyLinearlyExplicitRingOver`1`x`(Ring)->Category`(R)`FLINEXP`19584
cFullyPatternMatchable`1`x`(Type)->Category`(R)`FPATMAB`19813
cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`20005
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cFunctionSpace`1`x`(Comparable)->Category`(R)`FS`20523
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cGradedModule`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`21257
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cIndexedDirectProductCategory`2`x`(SetCategory,OrderedSet)->Category`(A,S)`IDPC`22763
cInnerEvalable`2`x`(SetCategory,Type)->Category`(A,B)`IEVALAB`22865
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cLieAlgebra`1`x`(CommutativeRing)->Category`(R)`LIECAT`24555
cLinearAggregate`1`x`(Type)->Category`(S)`LNAGG`24771
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cModule`1`x`(CommutativeRing)->Category`(R)`MODULE`26676
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cMultivariateTaylorSeriesCategory`2`x`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`28511
cNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`NAALG`28617
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cNonAssociativeRng`0`x`()->Category``NARNG`28955
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cOctonionCategory`1`x`(CommutativeRing)->Category`(R)`OC`30721
cOneDimensionalArrayAggregate`1`x`(Type)->Category`(S)`A1AGG`30941
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cPAdicIntegerCategory`1`x`(Integer)->Category`(p)`PADICCT`33383
cPartialDifferentialRing`1`x`(SetCategory)->Category`(S)`PDRING`33486
cPartialTranscendentalFunctions`1`x`(TranscendentalFunctionCategory)->Category`(K)`PTRANFN`33590
cPatternMatchable`1`x`(SetCategory)->Category`(S)`PATMAB`33724
cPatternable`1`x`(Type)->Category`(R)`PATAB`33844
cPermutationCategory`1`x`(SetCategory)->Category`(S)`PERMCAT`34032
cPlottablePlaneCurveCategory`0`x`()->Category``PPCURVE`34175
cPlottableSpaceCurveCategory`0`x`()->Category``PSCURVE`34516
cPointCategory`1`x`(Ring)->Category`(R)`PTCAT`34860
cPolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`35040
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cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`36119
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`36242
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cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`36762
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`36898
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`36979
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cRealClosedField`0`x`()->Category``RCFIELD`37138
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cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`37722
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cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`38391
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`38868
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`41756
cRightModule`1`x`(Rng)->Category`(R)`RMODULE`41930
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cRng`0`x`()->Category``RNG`42217
cSExpressionCategory`5`x`(SetCategory,SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt,Expr)`SEXCAT`42441
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`42543
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`42634
cSemiGroup`0`x`()->Category``SGROUP`42724
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cSemiRng`0`n`()->Category``SRNG`42941
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cSetCategory`0`x`()->Category``SETCAT`43374
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`43645
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`43693
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`44017
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`45005
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`45260
cStepThrough`0`x`()->Category``STEP`45341
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`45900
cStringAggregate`0`x`()->Category``SRAGG`46270
cStringCategory`0`x`()->Category``STRICAT`46373
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`46414
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`46534
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`46726
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`46786
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`48220
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`48268
cType`0`x`()->Category``TYPE`48821
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`48849
cUniqueFactorizationDomain`0`x`()->Category``UFD`49385
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`49557
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`49657
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`49951
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`50098
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`50444
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`50544
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`50842
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`51224
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`51322
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`51741
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`51812
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`52071
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`52177
cadditiveValuation`0`n`()->Category``ATADDVA`52341
carbitraryExponent`0`n`()->Category``ATARBEX`52453
carbitraryPrecision`0`n`()->Category``ATARBPR`52512
ccanonicalUnitNormal`0`n`()->Category``ATCUNOR`52608
ccanonicalsClosed`0`n`()->Category``ATCANCL`52852
cfiniteAggregate`0`n`()->Category``ATFINAG`52965
cmultiplicativeValuation`0`n`()->Category``ATMULVA`53033
cnoZeroDivisors`0`n`()->Category``ATNZDIV`53145
cpartiallyOrderedSet`0`n`()->Category``ATPOSET`53256
cshallowlyMutable`0`n`()->Category``ATSHMUT`53429
cunitsKnown`0`n`()->Category``ATUNIKN`53528
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dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`54158
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`54226
dAnonymousFunction`0`n`()->SetCategory``ANON`54297
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`54346
dAny`0`x`()->Join(SetCategory,etc)``ANY`54393
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`54827
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`54874
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`56101
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`57157
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`57464
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`57550
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`57898
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`58118
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`58331
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`58465
dBinaryFile`0`x`()->Join(FileCategory(FileName,SingleInteger),etc)``BINFILE`58555
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`58673
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`58953
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`59244
dBits`0`x`()->Join(BitAggregate,etc)``BITS`59470
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`59537
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`59644
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`61047
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`61293
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`61383
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`61441
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`62129
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`62239
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`62274
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`62479
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`63072
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`63128
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`63235
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`63499
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`63590
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`63877
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`63923
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`64189
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`64275
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`64374
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`64983
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`65346
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`67286
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`67380
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`67799
dEnumeration`1`x`special`(a,b,...,c)`ENUM`68218
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`68374
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`68539
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`68779
dExit`0`x`()->SetCategory``EXIT`68979
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`69266
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`69559
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`70340
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`70388
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`71230
dFileName`0`x`()->FileNameCategory``FNAME`72075
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`72144
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`72278
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`72507
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`73114
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`73751
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`74407
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`74681
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`74980
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`75497
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`76011
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`76507
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`76705
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`77721
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`81493
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`81599
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`81758
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`81929
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`82069
dFortranType`0`n`()->Join(SetCategory,etc)``FT`82112
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`82220
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`82429
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`82625
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`82697
dFramedModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRMOD`82742
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`82792
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`83042
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`83306
dFreeModule`2`n`(Ring,S:OrderedSet)->Join(BiModule(R,R),etc)`(R,S)`FM`83560
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`84370
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`84638
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`84778
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`85139
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`85184
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`85745
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`85778
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`85814
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`86132
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`86250
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`86917
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`87216
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`87382
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`87493
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`87605
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`87696
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`87855
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`87922
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`88017
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`88355
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`88764
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`89118
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`89213
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedSet)->Join(AbelianGroup,etc)`(A,S)`IDPAG`89311
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedSet)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`89518
dIndexedDirectProductObject`2`n`(SetCategory,S:OrderedSet)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`89727
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`89883
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedSet)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`90081
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`90315
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`90361
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`91454
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`91949
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`92420
dIndexedString`1`n`(Integer)->Join(StringAggregate,etc)`(mn)`ISTRING`92528
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`92575
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`93154
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`93272
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`93387
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`93436
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`93663
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`93719
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`93876
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`93992
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`94195
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`94322
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`94430
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`94806
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`94958
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`95051
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`95129
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`95635
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`95951
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`96053
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`96150
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`96310
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`96375
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`96744
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`96936
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`97287
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`97533
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`97814
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`98070
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`98241
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`98526
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`98666
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`98827
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`99700
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`99802
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`99904
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`99999
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`100198
dMapping`1`x`special`(T,S)`MAPPING`100290
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`100530
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`100625
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`100726
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`100759
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`100981
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`101190
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`101223
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`101272
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`101395
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`102356
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`102403
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`102725
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`102988
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`103177
dNone`0`n`()->SetCategory``NONE`103273
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`103490
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`104013
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`104072
dOpenMathConnection`0`x`()->etc``OMCONN`104176
dOpenMathDevice`0`x`()->etc``OMDEV`104313
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`104505
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`104579
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`104745
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`104810
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`104859
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`105097
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`105390
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`105505
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(OrderedMonoid,etc)`(S)`OFMONOID`105835
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`106456
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`106503
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`106809
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`107497
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`107618
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`107846
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`108108
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`108300
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`108373
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`108555
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`108623
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`108716
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`108807
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`108891
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`109745
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`109990
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`110226
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`110447
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`110494
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`110636
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`111105
dPi`0`x`()->Join(Field,etc)``HACKPI`111598
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`111909
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`112172
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`112508
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`112873
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`113208
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`113264
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`113772
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`114136
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`114425
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`114514
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`114708
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`114853
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`114900
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`114963
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`116682
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`116781
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`116834
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`116878
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`116943
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`117088
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`117155
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`117392
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`117527
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`117618
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`117840
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`118271
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`118473
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`118669
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`118844
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`118941
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`119047
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`119088
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`119157
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`119243
dScriptFormulaFormat`0`x`()->Join(SetCategory,etc)``FORMULA`119311
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`120012
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`120167
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`120240
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`120497
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`121172
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`121286
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`122368
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`122947
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`123219
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`123290
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`123378
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`123484
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`123832
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`124124
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`124242
dSparseUnivariatePolynomialExpressions`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUPEXPR`0
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`124806
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`125180
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`125755
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`125917
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`126498
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`126972
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`127595
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`128637
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`129115
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`129261
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`129305
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`129475
dString`0`x`()->StringCategory``STRING`0
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`129586
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`129652
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`129684
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`129731
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`129844
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`129914
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`129948
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`129998
dTableau`1`x`(SetCategory)->etc`(S)`TABLEAU`130222
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`130365
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`130496
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`131248
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`131386
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`131536
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`131619
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`131801
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`131963
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`132110
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`132240
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`132358
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`132424
dUnion`1`x`special`(A,B,...,C)`UNION`132619
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`132768
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`133094
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`133645
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`133860
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`134190
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`134719
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`135281
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`135456
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`135924
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`136041
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`136080
dVectorModularReconstructor`0`n`()->etc``VECREC1`136492
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`137047
dVoid`0`x`()->etc``VOID`137174
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`137398
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`137660
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`138704
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`138908
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`139192
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`139493
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`139760
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`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``139970
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``140029
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`140080
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``140139
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``140283
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``140357
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`(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`(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)``140543
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,Vector(polR))->Vector(polR)`pPseudoRemainderSequence(R,polR)``140574
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,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,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)``140670
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``140746
o*`2`n`(S,_$)->_$`dOrderedFreeMonoid(S)``140822
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``140898
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``140970
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``141114
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``141311
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``141376
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``141450
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``141532
o*`2`n`(_$,S)->_$`dFreeGroup(S)``141594
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``141671
o*`2`n`(_$,S)->_$`dOrderedFreeMonoid(S)``141748
o*`2`n`(_$,_$)->_$`dInputForm``141825
o*`2`n`(_$,_$)->_$`dMagma(VarSet)``141898
o*`2`n`(_$,_$)->_$`dOutputForm``141964
o*`2`n`(_$,_$)->_$`dPattern(R)``142018
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``142071
o*`2`x`(DoubleFloat,_$)->_$`dColor``142157
o*`2`x`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``142259
o*`2`x`(Integer,_$)->_$`cAbelianGroup``142311
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``142380
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`142423
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``142516
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``142584
o*`2`x`(PositiveInteger,_$)->_$`dColor``142744
o*`2`x`(R,S)->_$`cFreeModuleCategory(R,S)``142846
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,Monoid)`142908
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``143004
o*`2`x`(R,_$)->_$`cLeftModule(R)``143052
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)``143162
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,Monoid)`143255
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``143351
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``143480
o*`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``143609
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`143697
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)``143795
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``143927
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``144059
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,Monoid)`144124
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``144217
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)``144266
o*`2`x`(_$,R)->_$`cRightModule(R)``144362
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`144473
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``144566
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`144677
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``144775
o*`2`x`(_$,_$)->_$`cMonad``144891
o*`2`x`(_$,_$)->_$`cSemiGroup``144982
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``145045
o*`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``145446
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``145520
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``145595
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``145848
o+`2`n`(_$,_$)->_$`dInputForm``145988
o+`2`n`(_$,_$)->_$`dOutputForm``146061
o+`2`n`(_$,_$)->_$`dPattern(R)``146115
o+`2`x`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``146168
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`146229
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``146322
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`146382
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``146475
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``146535
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``146715
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`146827
o+`2`x`(_$,_$)->_$`dColor``146975
o+`2`x`(_$,_$)->_$`dDatabase(S)``147053
o+`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``147131
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``147216
o-`1`n`(_$)->_$`dOutputForm``147327
o-`1`x`(_$)->_$`cAbelianGroup``147380
o-`1`x`(_$)->_$`cGradedModule(R,E)``147433
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``147542
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`147603
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``147666
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``147922
o-`2`n`(_$,_$)->_$`dOutputForm``148069
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`148123
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`148223
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``148323
o-`2`x`(_$,_$)->_$`cAbelianGroup``148432
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``148527
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``148714
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`148833
o-`2`x`(_$,_$)->_$`dDatabase(S)``148988
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`x`(_$,_$)->_$`cLogic``149148
o/\`2`x`(_$,_$)->_$`dSingleInteger``149227
o/`2`n`(A,R)->_$`dLocalAlgebra(A,R)``149348
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(M,R)->_$`dLocalize(M,R)``149409
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``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)``149470
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``149659
o/`2`n`(_$,R)->_$`dLocalAlgebra(A,R)``149720
o/`2`n`(_$,R)->_$`dLocalize(M,R)``149781
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`149842
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`149883
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`149989
o/`2`n`(_$,_$)->_$`dInputForm``150095
o/`2`n`(_$,_$)->_$`dOutputForm``150168
o/`2`n`(_$,_$)->_$`dPattern(R)``150222
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``150275
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`150349
o/`2`x`(_$,Integer)->_$`dDoubleFloat``150437
o/`2`x`(_$,Integer)->_$`dFloat``150516
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`150595
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`150658
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`150745
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`150832
o/`2`x`(_$,S)->_$`cVectorSpace(S)``150919
o/`2`x`(_$,_$)->_$`cField``150988
o/`2`x`(_$,_$)->_$`cGroup``151084
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`151156
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(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`()->_$`dInputForm``0
o1`0`n`()->_$`dPattern(R)``0
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`x`()->_$`cGradedAlgebra(R,E)``0
o1`0`x`()->_$`cMonadWithUnit``0
o1`0`x`()->_$`cMonoid``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``151279
o<=`2`x`(_$,_$)->Boolean`cOrderedSet``151334
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``151384
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``151594
o<`2`x`(_$,_$)->Boolean`cOrderedSet``151648
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``151722
o<`2`x`(_$,_$)->Boolean`cSetAggregate(S)``151876
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``152002
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`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`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``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`dFortranScalarType``152105
o=`2`n`(_$,_$)->Boolean`dReference(S)``152141
o=`2`n`(_$,_$)->_$`dOutputForm``152200
o=`2`x`(S,S)->_$`dEquation(S)``152254
o=`2`x`(_$,_$)->Boolean`cBasicType``152292
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``152351
o>=`2`x`(_$,_$)->Boolean`cOrderedSet``152406
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(_$,_$)->_$`dOutputForm``152459
o>`2`x`(_$,_$)->Boolean`cOrderedSet``152513
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``152556
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``152651
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``152720
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``152753
oAnd`2`x`(_$,_$)->_$`dSingleInteger``152844
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``152955
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``153555
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``153653
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``153745
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``153829
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``153868
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``154138
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``154408
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``154475
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``154589
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``154643
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``154768
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`x`(_$)->_$`cDifferentialRing``154859
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``155002
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``155056
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``155151
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``155279
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``155350
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``155421
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``155513
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``155642
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``155803
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``155951
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``156174
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``156483
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)``156575
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``156634
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)``156762
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``156820
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``156878
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``156914
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``157000
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``157083
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`157123
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`157210
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``157303
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``157394
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``157525
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``157615
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``157691
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``157853
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``157904
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``158066
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``158117
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``158168
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``158258
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``158318
oHP_solve_A`6`n`(List(AlgebraicNumber),List(NonNegativeInteger),Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``158884
oHP_solve_I`6`n`(List(Fraction(Integer)),List(NonNegativeInteger),Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``158926
oHP_solve_M`6`n`(List(Integer),List(NonNegativeInteger),Symbol,Integer,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``158968
oHP_solve_PA`7`n`(List(Fraction(Polynomial(AlgebraicNumber))),List(NonNegativeInteger),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``159048
oHP_solve_P`7`n`(List(Fraction(Polynomial(Integer))),List(NonNegativeInteger),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``159114
oHP_solve`7`n`(List(F),List(NonNegativeInteger),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``159167
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``159551
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``159671
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``159881
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``160313
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``160454
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`160592
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`160845
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`161098
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``161378
oLFI_to_PA`3`n`(List(Fraction(Integer)),Integer,Integer)->Union(U32Vector,"failed")`pModularHermitePade``161469
oLFPI_to_PA`5`n`(List(Fraction(Polynomial(Integer))),Integer,List(Symbol),List(Integer),Integer)->Union(U32Vector,"failed")`pModularHermitePade``161494
oLF_to_PA`5`n`(List(F),Integer,List(Symbol),List(Integer),Integer)->Union(U32Vector,"failed")`pModularHermitePadeSolver(F,S)``161519
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``161543
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``161658
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``161748
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``161806
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`161928
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`162116
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``162261
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``162352
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``162513
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``162615
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``162715
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``162926
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``163023
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``163122
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``163294
oMonteCarlo`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``163449
oMonteCarlo`1`x`(Boolean)->_$`dGuessOption``163577
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``163778
oNOT`1`n`(_$)->_$`dSwitch``163866
oNot`1`n`(_$)->_$`dIndexedBits(mn)``163954
oNot`1`x`(_$)->_$`dSingleInteger``164028
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``164121
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``164216
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``164299
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``164378
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``164470
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``164563
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``164586
oOMclose`1`x`(_$)->Void`dOpenMathDevice``164611
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``164696
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``164725
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``164755
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``164781
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``164863
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``164952
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``165147
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``165230
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``165314
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``165401
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``165484
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``165577
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``165657
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``165743
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``165832
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``165917
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``166012
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``166094
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``166176
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``166260
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``166340
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``166408
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``166481
oOMgetString`1`x`(_$)->String`dOpenMathDevice``166563
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``166633
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``166703
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``166790
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``166864
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``166934
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``167009
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``167033
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``167302
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``167437
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``167520
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``167606
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``167688
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``167780
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``167859
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``167944
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``168032
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``168116
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``168210
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``168291
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``168372
oOMputError`1`x`(_$)->Void`dOpenMathDevice``168455
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``168534
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``168624
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``168718
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``168799
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``168891
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``169021
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``169117
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``169215
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``169312
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``169410
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``169536
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``169632
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``169832
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``169986
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``170100
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``170261
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``170425
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``170541
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``170690
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``170934
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``171182
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``171275
oOr`2`x`(_$,_$)->_$`dSingleInteger``171364
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)``171473
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``171652
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`171764
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`171877
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``171990
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`172085
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``172146
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``172351
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``172647
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``172734
oSEGMENT`1`n`(_$)->_$`dOutputForm``172994
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``173055
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``173140
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``173205
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``173286
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``173446
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``173530
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``173657
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``173850
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``173931
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``174163
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``174473
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``174525
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``174648
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`174772
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``175073
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``175179
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``175472
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``175533
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``175591
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``175693
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``175735
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``175945
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``175970
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``175995
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``176019
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``176059
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``176126
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``176287
o\/`2`x`(_$,_$)->_$`dSingleInteger``176365
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``176485
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`176535
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``176605
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,Integer)->_$`dFreeGroup(S)``176721
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`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``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)->_$`dFreeMonoid(S)``176798
o^`2`n`(S,NonNegativeInteger)->_$`dOrderedFreeMonoid(S)``176875
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`xMonad&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSemiGroup&(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)``176952
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``177059
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`177166
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`177247
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``177329
o^`2`n`(_$,Integer)->_$`dInputForm``177397
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``177470
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``177543
o^`2`n`(_$,_$)->_$`dOutputForm``177596
o^`2`n`(_$,_$)->_$`dPattern(R)``177650
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``177703
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`177802
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``178022
o^`2`x`(_$,Integer)->_$`cDivisionRing``178107
o^`2`x`(_$,Integer)->_$`cGroup``178245
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`178317
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`178463
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``178571
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``178603
o^`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``178721
o^`2`x`(_$,NonNegativeInteger)->_$`cMonoid``178820
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``178994
o^`2`x`(_$,PositiveInteger)->_$`cMonad``179064
o^`2`x`(_$,PositiveInteger)->_$`cSemiGroup``179249
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``179423
o^`2`x`(_$,_$)->_$`dCardinalNumber``179480
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``179587
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``179636
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``179678
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``179727
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``179782
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``179926
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)``180002
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`180068
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`180196
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`180283
oabs`1`x`(_$)->_$`cOrderedRing``180366
oabs`1`x`(_$)->_$`cRealNumberSystem``180426
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``180485
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``180545
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``180626
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``180707
oacos`1`n`(F)->F`pElementaryFunction(R,F)``180795
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)``180864
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``180934
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``181004
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``181076
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``181150
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``181218
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``181581
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``181671
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)``181752
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``181843
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``181934
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``182022
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``182112
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``182181
oacot`1`n`(F)->F`pElementaryFunction(R,F)``182269
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)``182341
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``182414
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``182487
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``182562
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``182639
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``182699
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``182789
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)``182873
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``182967
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``183061
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183152
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``183245
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183317
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``183405
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)``183476
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``183548
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``183620
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183694
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``183770
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183829
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``183919
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)``184002
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``184095
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``184188
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``184278
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``184370
oadaptive3D?`0`n`()->Boolean`dPlot3D``184441
oadaptive?`0`n`()->Boolean`dPlot``184516
oadaptive`0`x`()->Boolean`pGraphicsDefaults``184588
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``184665
oadaptive`1`x`(Boolean)->_$`dDrawOption``184773
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``184953
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``185162
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``185309
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``185462
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``185840
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``186081
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``186259
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``186559
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``186719
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``187508
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``188265
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``188440
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``188504
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``188771
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`188852
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``189034
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`189093
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`189165
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189283
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``189354
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``189530
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``189706
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189771
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``189842
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``190018
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``190194
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``190259
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)``190580
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``190901
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``191018
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``191168
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``191353
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``191408
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``191556
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``191703
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``191847
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``192030
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``192125
oallDegrees`1`x`(Boolean)->_$`dGuessOption``192255
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(_$)`cRealClosedField``192506
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``192594
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``192682
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``192770
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``192858
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``192946
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``193034
oalphabetic?`1`x`(_$)->Boolean`dCharacter``193142
oalphabetic`0`x`()->_$`dCharacterClass``193256
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``193381
oalphanumeric`0`x`()->_$`dCharacterClass``193522
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``193651
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``194216
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``194596
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``194701
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``194946
oand`2`n`(_$,_$)->_$`dOutputForm``195191
oand`2`x`(_$,_$)->_$`cBitAggregate``195247
oand`2`x`(_$,_$)->_$`dBoolean``195348
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`195433
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``195541
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``195733
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``195925
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``196085
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``196245
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``196304
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``196341
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``196550
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`196759
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`197339
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`197937
oany`2`x`(SExpression,None)->_$`dAny``198311
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``198503
oappend`2`x`(_$,_$)->_$`dList(S)``198699
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)``198857
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``198942
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``199001
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``199069
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``199146
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``199232
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``199465
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``199601
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``199868
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``200029
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``200147
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``200283
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``200405
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``200718
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``200929
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`201031
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``201166
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``201306
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``201433
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`201565
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`201701
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`201853
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``203156
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``203210
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``203265
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``203368
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``203498
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``203629
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``203766
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``203842
oargument`1`n`(_$)->List(S)`dKernel(S)``203920
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`203994
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oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``204194
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``204994
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``205157
oasec`1`n`(F)->F`pElementaryFunction(R,F)``205246
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)``205316
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``205387
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``205458
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``205531
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``205606
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``205664
oasech`1`n`(F)->F`pElementaryFunction(R,F)``205755
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)``205837
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``205929
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``206021
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``206110
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``206201
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``206271
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``207071
oasin`1`n`(F)->F`pElementaryFunction(R,F)``207160
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)``207228
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``207297
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``207366
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``207437
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``207510
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``207579
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``207941
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``208032
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)``208112
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``208202
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``208292
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``208379
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``208468
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``208536
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``208687
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``208771
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``208855
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``208939
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``209023
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``209107
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``209191
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``209275
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``209359
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``209443
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``209527
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``209611
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``209695
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``209779
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``209863
oassign`2`n`(Symbol,String)->_$`dFortranCode``209947
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``210031
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``210115
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``210199
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``210283
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``210367
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``210451
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``210535
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``210619
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``210703
oassign`2`n`(_$,_$)->_$`dOutputForm``210787
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``210864
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``211036
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``211208
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``211380
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``211552
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``211724
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``211896
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`212054
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``212252
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``212400
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``212530
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``212610
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``212690
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`213035
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``213380
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``213448
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``213523
oatan`1`n`(F)->F`pElementaryFunction(R,F)``213612
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``213683
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``213755
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``213827
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``213901
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``213977
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``214046
oatan`2`x`(_$,_$)->_$`dDoubleFloat``214465
oatan`2`x`(_$,_$)->_$`dFloat``214551
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``214637
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``214728
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``214811
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``214904
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``214997
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``215087
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``215179
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``215250
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``215316
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``215409
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``216217
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``216317
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``216495
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``216593
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``217024
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``217215
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``217304
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``217415
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``217646
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``217895
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``218157
oback`1`x`(_$)->S`cQueueAggregate(S)``218399
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``218547
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``218585
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``218623
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``218755
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``218858
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``218976
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``219162
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``219327
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``219908
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``220649
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``220860
obase`0`n`()->PositiveInteger`dMachineFloat``221060
obase`0`x`()->PositiveInteger`cFloatingPointSystem``221111
obase`0`x`()->_$`cIntegerNumberSystem``221201
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``221289
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``221350
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``221412
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``221817
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``222034
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``222287
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``222445
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``222613
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``222737
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``222914
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``223095
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``223274
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``223495
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``223620
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``223798
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``223981
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``224063
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``224126
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``224189
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``224284
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``224364
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``224438
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`224535
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``224607
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``224714
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``224764
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``224864
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``225008
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``225091
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``225171
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``225257
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``225318
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``225405
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`225492
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``225538
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``225856
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``226013
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``226104
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``226317
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``226530
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``226610
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``226701
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``226905
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``227109
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``227180
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``227271
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``227665
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``228060
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``228141
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``228232
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``228629
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``229026
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`229098
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``229234
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`229341
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``229495
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``229881
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``229933
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``229981
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``230099
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``230204
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``230337
obinary`2`n`(_$,List(_$))->_$`dInputForm``230411
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`230525
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``230626
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``230803
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``230847
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``230947
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``231153
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``231349
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``231640
obirth`1`n`(_$)->_$`dSubSpace(n,R)``231881
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``231918
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``232015
obitLength`1`n`(Integer)->Integer`pIntegerBits``232092
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``232173
obits`0`x`()->PositiveInteger`cFloatingPointSystem``232267
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`232332
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``232425
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``232497
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``232611
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``232796
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``233012
oblock`1`n`(List(_$))->_$`dFortranCode``233107
oblue`0`x`()->_$`dColor``233197
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``233272
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``233356
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``233449
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`233531
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``233599
obox`1`x`(List(_$))->_$`cExpressionSpace``233648
obox`1`x`(_$)->_$`cExpressionSpace``233961
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``234198
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``234374
obrace`1`n`(_$)->_$`dOutputForm``234505
obrace`1`x`(List(S))->_$`cSetAggregate(S)``234592
obracket`1`n`(List(_$))->_$`dOutputForm``234772
obracket`1`n`(_$)->_$`dOutputForm``234906
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``234987
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``235160
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``235333
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``235409
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``235488
obright`1`x`(Color)->_$`dPalette``235573
obright`1`x`(List(String))->List(String)`pDisplayPackage``235667
obright`1`x`(String)->List(String)`pDisplayPackage``235769
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``235858
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``236018
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``236321
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``236417
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``236554
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``236595
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)``236640
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``236908
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`237438
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``237481
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``237528
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``237573
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``237742
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``237885
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238030
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238156
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238299
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238428
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238574
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238702
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238847
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238973
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239116
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239240
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239381
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239508
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239652
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239774
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239908
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240033
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240170
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240294
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240430
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240557
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240682
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240826
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240933
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241055
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241189
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241309
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241441
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241564
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``241699
ocall`1`n`(String)->_$`dFortranCode``241741
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``241816
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``241930
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``241984
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``242100
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``242182
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`242249
oceiling`1`x`(_$)->_$`cRealNumberSystem``242328
ocenter`1`n`(_$)->_$`dOutputForm``242391
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``242453
ocenter`2`n`(_$,Integer)->_$`dOutputForm``242540
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``242622
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``242906
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``243223
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``243462
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``243505
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``243647
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``243706
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``243863
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``243969
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``244075
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``244220
ocharClass`1`x`(List(Character))->_$`dCharacterClass``244360
ocharClass`1`x`(String)->_$`dCharacterClass``244479
ochar`1`x`(Integer)->_$`dCharacter``244600
ochar`1`x`(String)->_$`dCharacter``244740
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``244821
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``244917
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``245026
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``245207
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``245380
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``245540
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``245689
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``245867
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``246066
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``246224
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``246511
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``246655
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``247080
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``247220
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`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``248010
ocharacteristic`0`x`()->NonNegativeInteger`cRing``248081
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``248289
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``248536
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`248654
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``248775
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``248901
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``249193
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``249384
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``249671
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``249857
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``250118
ocheckOptions`1`x`(List(_$))->Void`dGuessOption``250397
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``250464
ocheck_sol1a`6`n`(Vector(U32Vector),U32Vector,(U32Vector,Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``250585
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``250646
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``250772
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``250808
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``250850
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,SetCategory)`250891
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``250971
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)``251012
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``251052
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``251132
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``251391
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)``251681
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``251739
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``251940
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``252043
ochkLibraryError`0`n`()->Void`pUnittestCount``252178
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``252257
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``252295
oclearCache`0`n`()->Void`pSortedCache(S)``252684
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``252730
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``252910
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``253090
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``253235
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``253384
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``253456
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``253551
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``253620
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``253700
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``253747
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``253963
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``254332
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``254733
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``254827
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``254992
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``255297
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``255651
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``255926
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``256207
oclip`1`x`(Boolean)->_$`dDrawOption``256491
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``256655
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``256813
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``257126
oclose!`1`x`(_$)->_$`dLibrary``257204
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``257285
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``257761
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``257965
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``258173
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``258214
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``258253
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``258332
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``258568
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``258831
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``259176
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``259719
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``259994
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``260049
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`260147
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``260256
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``260353
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``260394
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``260512
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``260679
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``260763
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``260895
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``260942
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``261018
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``261211
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``261432
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``261591
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``261760
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``261882
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``262010
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``262086
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``262199
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``262312
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``262399
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``262541
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``262758
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``262846
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``263004
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``263345
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``263439
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``263515
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``263578
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``263670
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`263825
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`264141
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``264457
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``264586
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``264880
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``265013
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``265227
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``265347
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``265422
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``265509
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``265575
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``265641
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``265707
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``265773
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``265816
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``265857
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``265898
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``265939
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``265980
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``266021
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``266062
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``266102
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``266142
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``266215
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``266255
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``266295
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``266335
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``266375
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``266462
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``266579
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``266696
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``266813
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``266930
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``267047
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``267088
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`(GraphImage)->TwoDimensionalViewport`pViewportPackage``267150
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`xRing&(S)``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`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``267292
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``267350
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``267472
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``267594
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``267716
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``267838
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``267960
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``268002
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``268273
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``268784
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``268856
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``268933
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``269032
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``269145
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``269274
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))->_$`dModuleMonomial(IS,E,ff)``269335
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``269373
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``269565
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``269757
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``269949
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``270141
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``270333
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``270373
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)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``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`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`xRing&(S)``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`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`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``270411
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``270480
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``270562
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(String)->_$`dFortranScalarType``270634
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``270923
ocoerce`1`n`(Symbol)->_$`dSwitch``271187
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``271227
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``271365
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``271503
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``271612
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``271677
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``271717
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``271806
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``271895
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``271997
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``272086
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``272175
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``272277
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``272340
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``272514
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``272591
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``272732
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``272797
ocoerce`1`n`(_$)->Float`dMachineFloat``272837
ocoerce`1`n`(_$)->List(Integer)`dPartition``272907
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``272975
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``273091
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``273205
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``273318
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``273446
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``273598
ocoerce`1`n`(_$)->OutputForm`dFortranCode``273749
ocoerce`1`n`(_$)->OutputForm`dFortranType``273811
ocoerce`1`n`(_$)->OutputForm`dGraphImage``273874
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``274036
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``274218
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``274276
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``274362
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``274435
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``274473
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``274511
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``274549
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``274587
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``274668
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``274736
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``274779
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``274836
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``274925
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``275011
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``275100
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``275184
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``275267
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``275430
ocoerce`1`x`(Character)->_$`cStringAggregate``275587
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``275678
ocoerce`1`x`(Color)->_$`dPalette``275755
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``275859
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``275918
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``276075
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``276536
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``277000
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``277067
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``277359
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`277509
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`277571
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``277633
ocoerce`1`x`(Integer)->_$`cRing``277713
ocoerce`1`x`(Integer)->_$`dOrdSetInts``277800
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``277870
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``277963
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``278287
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``278389
ocoerce`1`x`(List(Record(coef:R,monom:M)))->_$`cMonoidRingCategory(R,M)``278477
ocoerce`1`x`(List(S))->_$`dDataList(S)``278571
ocoerce`1`x`(List(S))->_$`dDatabase(S)``278628
ocoerce`1`x`(List(S))->_$`dPermutation(S)``278683
ocoerce`1`x`(List(S))->_$`dStream(S)``278911
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``278973
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``279061
ocoerce`1`x`(OutputForm)->_$`dScriptFormulaFormat``279151
ocoerce`1`x`(OutputForm)->_$`dTexFormat``279248
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``279334
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``279403
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``279529
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`279630
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``279692
ocoerce`1`x`(R)->_$`cAlgebra(R)``279778
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``279861
ocoerce`1`x`(R)->_$`cXAlgebra(R)``279951
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``279994
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``280060
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``280145
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``280248
ocoerce`1`x`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``280329
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``280602
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``280829
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``281164
ocoerce`1`x`(S)->_$`cRetractableTo(S)``281260
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``281320
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``281395
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``281529
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`281601
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``281663
ocoerce`1`x`(String)->_$`cFileNameCategory``281722
ocoerce`1`x`(String)->_$`dIndexCard``281832
ocoerce`1`x`(String)->_$`dSymbol``282005
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``282071
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``282315
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``282378
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``282466
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``282553
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``282630
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``282708
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``282797
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``282880
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``283087
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``283161
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``283236
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``283315
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``283389
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``283491
ocoerce`1`x`(_$)->List(S)`dDataList(S)``283562
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``283627
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``283712
ocoerce`1`x`(_$)->OutputForm`dVoid``283783
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``283842
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``283926
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``284014
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``284106
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``284192
ocoerce`1`x`(_$)->String`cFileNameCategory``284258
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``284370
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``284408
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``284492
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``284576
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``284618
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``285428
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``285576
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``285740
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``285907
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``286059
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``286372
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``286555
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``286767
ocolor`1`n`(Point(R))->R`pPointPackage(R)``286999
ocolor`1`x`(Integer)->_$`dColor``287312
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`287382
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`287499
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``287617
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``287745
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``287869
ocomment`1`n`(List(String))->_$`dFortranCode``287964
ocomment`1`n`(String)->_$`dFortranCode``288071
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``288173
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``288293
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``288413
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``288516
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``288623
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``288708
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``288792
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``288876
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``288995
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``289068
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``289124
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``289368
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``289416
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``289617
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``289795
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``290062
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``290101
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``290434
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``290627
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`290845
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``290976
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``291108
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``291501
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``291774
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``291981
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``292150
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``292347
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``292586
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``292733
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``292797
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``292946
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``293199
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``293291
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``293539
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``293907
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``294054
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``294201
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``294387
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``294573
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``294669
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``294765
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``294829
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``294893
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`295018
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``295143
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``295238
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``295364
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``295490
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``295606
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``295722
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``295862
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`296002
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`296137
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`296272
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`296407
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`296542
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`296675
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`296810
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`296980
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`297150
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`297320
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`297460
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`297630
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`297800
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`297877
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`297954
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`298031
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`298108
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`298185
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`298262
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``298339
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`298416
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`298528
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`298640
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`298752
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`298864
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`298945
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`299057
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``299169
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``299281
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``299465
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``299781
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``300021
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``300243
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``300478
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``300702
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``300901
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``301036
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``301243
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``301301
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``301637
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``302141
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``302488
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``302729
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``302825
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``302868
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`303073
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`303199
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``303308
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``303657
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``303885
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``304076
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``304245
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``304665
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(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`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``304709
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`304798
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`304951
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``305088
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`305194
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)``305360
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``305710
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)``305848
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``306035
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``306275
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``306470
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``306842
ocond`2`n`(Switch,_$)->_$`dFortranCode``307024
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``307130
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``307254
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`307467
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``307736
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`307815
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``307991
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``308168
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`308345
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``308558
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``308772
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``308855
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`309189
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``309244
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``309327
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``309400
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``309475
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``309627
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``309706
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``309808
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``309916
ocons`2`x`(S,_$)->_$`dList(S)``310198
ocons`2`x`(S,_$)->_$`dStream(S)``310368
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``310519
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``310560
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``310798
oconstant?`1`n`(_$)->Boolean`dPattern(R)``310902
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``310979
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``311077
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``311149
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``311615
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``311660
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``311706
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``311808
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``311954
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``312069
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``312172
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``312398
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``312462
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``312549
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``312713
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``312841
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``312906
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``313233
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``313332
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``313483
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``313621
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``313728
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``314076
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``314131
oconstruct`1`x`(List(S))->_$`cCollection(S)``314226
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``314549
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``314616
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``314661
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``314762
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``314863
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``314918
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``315038
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``315172
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``315273
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``315385
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``315456
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``315527
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``315671
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``315930
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``316136
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``316431
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``316579
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`316663
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`316753
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`316838
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``317135
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``317231
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``317343
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``317455
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``317603
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``317841
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``318114
ocontract`2`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``318411
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``318512
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``318864
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``319331
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``319573
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``319819
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``320003
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``320084
oconvert`1`n`(List(_$))->_$`dPattern(R)``320201
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`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``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)`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(SExpression)->_$`dInputForm``320284
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`x`(DoubleFloat)->_$`dFloat``320344
oconvert`1`x`(Expr)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``320435
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`320492
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``320668
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``320725
oconvert`1`x`(List(R))->_$`cPointCategory(R)``320782
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``320908
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``321003
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``321047
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`321091
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`321171
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`321251
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``321331
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`321375
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cSegmentCategory(S)``321552
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``321610
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``321654
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``321714
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``321771
oconvert`1`x`(Symbol)->_$`dRomanNumeral``321828
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``321898
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``322052
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``322201
oconvert`1`x`(_$)->S`cConvertibleTo(S)``322367
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``322434
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``322544
oconvert`2`x`(OutputForm,Integer)->_$`dScriptFormulaFormat``322654
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``322944
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``323223
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``323525
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``323657
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``323691
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``323895
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``324110
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``324330
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)`xFramedNonAssociativeAlgebra&(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)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``324546
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``324697
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``324921
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``325145
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``325325
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``325444
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``325558
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``325672
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``325826
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``326066
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``326286
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``326406
ocopies`2`x`(Integer,String)->String`pDisplayPackage``326560
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``326681
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`326826
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``326948
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``327091
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dPattern(R)``327290
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``327350
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``327408
ocopy`1`x`(_$)->_$`cAggregate``327444
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``327615
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``327663
ocopy`1`x`(_$)->_$`dBasicOperator``327756
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``327808
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``327876
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``327974
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``328061
ocos`1`n`(E)->_$`dFourierComponent(E)``328305
ocos`1`n`(F)->F`pElementaryFunction(R,F)``328371
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)``328432
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``328499
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``328566
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``328634
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``328704
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``328771
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``328824
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``328926
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``329015
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)``329088
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``329171
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``329254
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``329334
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``329416
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``329485
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``329550
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``329648
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``329752
ocot`1`n`(F)->F`pElementaryFunction(R,F)``329839
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)``329903
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``329973
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``330043
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``330114
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``330187
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``330243
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``330345
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``330454
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``330543
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)``330619
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``330705
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``330791
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``330874
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``330959
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`331027
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``331134
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)`331204
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`331459
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``331649
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``331787
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``331929
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``332071
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``332270
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``332431
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``332785
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``332993
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``333113
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`333406
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``333677
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``333811
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``334034
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``334145
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``334350
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``334490
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``334601
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``334760
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``335194
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``335230
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``335272
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,VarSet,Dpol)``335306
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,VarSet,Dpol)``335343
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``335382
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,VarSet,Dpol)``335416
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``335454
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,VarSet,Dpol)``335488
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``335527
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``335749
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`335901
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``336051
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``336300
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``336398
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``336492
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)``336555
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``336624
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``336693
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``336763
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``336835
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``336890
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``336992
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``337081
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)``337156
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``337241
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``337326
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``337408
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``337492
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``337559
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``337612
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``337649
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``337698
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``337891
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``337984
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``338087
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``338191
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``338282
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``338507
ocurveColor`1`x`(Float)->_$`dDrawOption``338735
ocurveColor`1`x`(Palette)->_$`dDrawOption``338878
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``339048
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``339246
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``339485
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``339588
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``339953
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``340126
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``340250
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``340397
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``340533
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``340673
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``340816
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`341045
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``341451
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``341541
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``341768
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``342098
ocyclic?`1`x`(_$)->Boolean`dTree(S)``342154
ocyclicCopy`1`x`(_$)->_$`dTree(S)``342215
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``342294
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``342378
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``342466
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``342651
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``342769
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`342855
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``343494
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``343590
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``343647
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``343704
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``343748
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``343951
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``343997
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``344232
odark`1`x`(Color)->_$`dPalette``344669
odatalist`1`x`(List(S))->_$`dDataList(S)``344768
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``344827
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``345118
odebug`1`n`(Boolean)->Boolean`dPlot``345211
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``345298
odebug`1`x`(Boolean)->_$`dGuessOption``345406
odecFatal`0`n`()->Void`pUnittestCount``345546
odec`1`x`(_$)->_$`cIntegerNumberSystem``345657
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``345700
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``345776
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``345902
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``346024
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``346129
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``346244
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``346394
odeclare`1`n`(List(_$))->Symbol`dInputForm``346543
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``346892
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``347131
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``347173
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``347257
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``347615
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`347665
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``347805
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``347845
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``347889
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``348068
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``348371
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``348854
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``348997
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``349138
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``349232
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`349334
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``349477
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`349591
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``349685
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``349850
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``350138
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``350335
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``350455
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``350523
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``350611
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``350649
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``350717
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``350886
odegree`1`x`(_$)->E`cGradedModule(R,E)``350973
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``351094
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``351177
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``351318
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``351445
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``351551
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``351652
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``351758
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``351859
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``351975
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``352062
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``352165
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``352354
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``352478
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``352586
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``352725
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``352907
odelay`1`x`(()->_$)->_$`dStream(S)``353014
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)``353167
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``353262
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``353370
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)``353534
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``353743
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``353964
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``354117
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``354347
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``354549
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``354872
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``354933
odenom`1`n`(_$)->R`dLocalize(M,R)``354992
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``355051
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``355163
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``355236
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`355348
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`355460
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``355542
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``355632
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``355834
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``355896
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``356012
odequeue`0`x`()->_$`cDequeueAggregate(S)``356204
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``356281
odequeue`1`x`(List(S))->_$`dDequeue(S)``356462
oderef`1`n`(_$)->S`dReference(S)``356643
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``356698
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`356888
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``356976
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``357102
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``357354
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``357682
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``357801
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``357882
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``358017
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`358152
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`358265
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``358342
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``358436
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``358630
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``358824
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``358929
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``359034
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``359591
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``359704
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``359812
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``359921
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``360028
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``360371
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)``360454
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber))),exprStream:(Expression(Integer),Symb--ol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->SparseUnivariatePolynomial(AlgebraicNumber),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber))),exprStream:(Expression(Int--eger),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->SparseUnivariatePolynomial(AlgebraicNumber),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,Retrac--tableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNe--gativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``360587
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol--,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer)))),exprStream:(Expression(Integ--er),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->SparseUnivariatePolynomial(Fraction(Integer)),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Poly--nomial(Integer))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->SparseUnivariatePolynomial(Fraction(Polynomial(Integer))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativ--eInteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R))))),expr--Stream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->SparseUnivariatePolynomial(Fraction(Polynomial(R))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInt--eger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`360702
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,q--var:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer)))),exprStream:(Expres--sion(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->SparseUnivariatePolynomial(Fraction(Integer)),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fra--ction(Polynomial(Integer))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->SparseUnivariatePolynomial(Fraction(Polynomial(Integer))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R--))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->SparseUnivariatePolynomial(Fraction(Polynomial(R))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuess--Polynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``360826
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)->_$`cSetAggregate(S)``360897
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``361153
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``361566
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``361700
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``361856
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``361923
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,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``361990
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``362025
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``362127
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`362310
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``362396
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``362498
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``362600
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``362703
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``362805
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``362907
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``363010
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``363118
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``363228
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``363393
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``363477
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``363561
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``363645
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``363750
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``363852
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``363887
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``364029
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``364216
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``364344
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``364505
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``364579
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``364701
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``364823
odigit?`1`x`(_$)->Boolean`dCharacter``364946
odigit`0`x`()->_$`dCharacterClass``365043
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``365159
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``365236
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``365313
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`365410
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``365507
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``365585
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``365775
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``365887
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``365987
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``366034
odim`1`x`(Color)->_$`dPalette``366158
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``366250
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``366478
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``366552
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``366610
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``366761
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``366842
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``366948
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``367013
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``367469
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``367929
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``368106
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``368235
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`368379
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``368575
odirection`1`n`(String)->Integer`pToolsForSign(R)``368810
odirectory`1`x`(_$)->String`cFileNameCategory``368851
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``368923
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``369052
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``369151
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``369317
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``369461
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``369520
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``369579
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``369696
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`369796
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`369879
odisplayAsGF`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``370003
odisplayAsGF`1`x`(Boolean)->_$`dGuessOption``370224
odisplay`1`x`(String)->Void`dMathMLFormat``370412
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``370483
odisplay`1`x`(_$)->Void`dDatabase(S)``370605
odisplay`1`x`(_$)->Void`dIndexCard``370690
odisplay`1`x`(_$)->Void`dScriptFormulaFormat``370784
odisplay`1`x`(_$)->Void`dTexFormat``370964
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``371148
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``371375
odisplay`2`x`(_$,Integer)->Void`dScriptFormulaFormat``371612
odisplay`2`x`(_$,Integer)->Void`dTexFormat``371756
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``371904
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``372437
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``372536
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``372760
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``372943
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``373178
odiv`2`n`(_$,_$)->_$`dOutputForm``373397
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``373454
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``373617
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``373645
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``373879
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``374218
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``374359
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``374584
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``374727
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``374961
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``375046
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``375416
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``375866
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``375940
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``376011
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``376126
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``376304
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``376625
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``376695
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``376755
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``376815
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``376875
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``376964
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``377050
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_poly_integer`8`n`(List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(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_poly_modular`4`n`(List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Record(degree_bounds:Vector(Integer),pss_sigma:NonNegativeInteger,points:U32Vector,pss_qvar:Symbol,pss_qval:Integer,prime:Integer,pss_kind:Symbol,oldva:Vector(Integer),oldciv:Vector(Integer),pss_m:Integer,sol_cnt:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector),(U32Vector,Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector--(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed","no_solution")`pInnerModularHermitePade``0
odom`1`x`(_$)->SExpression`dAny``377148
odomainOf`1`x`(_$)->OutputForm`dAny``377274
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``377398
odot`1`n`(_$)->_$`dOutputForm``377807
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``377870
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``378052
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`378132
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`378222
odouble?`1`n`(_$)->Boolean`dFortranScalarType``378376
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``378475
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``378595
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``378637
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``378712
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``378876
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``379066
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``379152
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``379375
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``380121
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``380996
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``381229
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``381654
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``382051
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``382137
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``382334
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``382420
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``382548
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``382694
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``382867
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``383008
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``383186
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``383358
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``383587
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``383779
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``384028
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``384248
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``384482
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``384685
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``384994
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``385261
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``385521
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``385717
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``385950
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``386214
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``386537
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``386817
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``387164
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``387453
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``387805
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``388104
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``388414
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``388612
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``388966
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``389216
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``389603
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``390063
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``390121
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``390202
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``390289
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``390347
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``390492
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``390639
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``390769
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``391130
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``391299
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``391454
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``391576
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``391722
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``391806
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``391905
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``392029
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``392121
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``392396
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``392522
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``392648
oelt`1`n`(_$)->S`dReference(S)``392873
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``392923
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(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`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`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`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`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`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)``392984
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`(_$,List(_$))->_$`dOutputForm``393059
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``393160
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``393220
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``393380
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`393479
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`393616
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``393766
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``393850
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``393955
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``394057
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``394154
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``394263
oelt`2`x`(_$,"sort")->_$`dDataList(S)``394363
oelt`2`x`(_$,"unique")->_$`dDataList(S)``394484
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``394625
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``394724
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``394835
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``394990
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``395112
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``395175
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``395241
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``395325
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``395415
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``395546
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``395629
oelt`2`x`(_$,S)->Index`cEltable(S,Index)``395729
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``395891
oelt`2`x`(_$,Symbol)->Any`dLibrary``395980
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``396112
oelt`2`x`(_$,Symbol)->String`dIndexCard``396211
oelt`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``396411
oelt`2`x`(_$,_$)->_$`cStringAggregate``396670
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(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`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``396887
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``397016
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``397389
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``397535
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``397660
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``397793
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``397959
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``398131
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``398198
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`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``398564
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``398641
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``398799
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``398870
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``399086
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,_$,_$,_$,_$)->_$`cExpressionSpace``399300
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``399484
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``399559
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``399683
oempty?`1`x`(_$)->Boolean`cAggregate``399781
oempty`0`n`()->_$`dOutputForm``399839
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``399884
oempty`0`n`()->_$`dSplittingNode(V,C)``399944
oempty`0`n`()->_$`dSymbolTable``400054
oempty`0`n`()->_$`dTheSymbolTable``400112
oempty`0`x`()->_$`cAggregate``400171
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``400378
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``400444
oendOfFile?`1`x`(_$)->Boolean`dTextFile``400542
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``400715
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``400810
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``400898
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``401093
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``401349
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`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``401563
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,finiteAggregate),has(Entry,SetCategory))`401665
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``401771
oenumerate`0`x`()->List(_$)`cFinite``401867
oepilogue`1`x`(_$)->List(String)`dScriptFormulaFormat``401930
oepilogue`1`x`(_$)->List(String)`dTexFormat``402018
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``402098
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``402172
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``402263
oequation`2`x`(S,S)->_$`dEquation(S)``402567
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``402618
oequation`2`x`(Symbol,String)->_$`dQueryEquation``402792
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``402848
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``402896
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``403049
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``403122
oerror`1`x`(List(String))->Exit`pErrorFunctions``403202
oerror`1`x`(String)->Exit`pErrorFunctions``403279
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``403354
oerror`2`x`(String,String)->Exit`pErrorFunctions``403524
oescape`0`x`()->_$`dCharacter``403691
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``403832
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``403989
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``404324
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``404631
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``404815
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`404926
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``404968
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``405185
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``405497
oevalADE`6`n`(BasicOperator,Symbol,F,F,F,List(F))->F`pRecurrenceOperator(R,F)``405648
oevalRec`6`n`(BasicOperator,Symbol,F,F,F,List(F))->F`pRecurrenceOperator(R,F)``406100
oeval_and_solve`5`n`(Integer,List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Record(degree_bounds:Vector(Integer),pss_sigma:NonNegativeInteger,points:U32Vector,pss_qvar:Symbol,pss_qval:Integer,prime:Integer,pss_kind:Symbol,oldva:Vector(Integer),oldciv:Vector(Integer),pss_m:Integer,sol_cnt:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector),(U32Vector,Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata--:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed","no_solution")`pInnerModularHermitePade``0
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``406619
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``406801
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`406871
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``406940
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`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``407167
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``407313
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``407461
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``407609
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``407729
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`407990
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``408110
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``408183
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`408279
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`408375
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``408479
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`408569
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`408641
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)``408726
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``408807
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``409036
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``409121
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``409196
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``409341
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``409445
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``409550
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``409741
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``409889
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``410080
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``410228
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``410393
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``410538
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``410642
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)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`410763
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`410907
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`411095
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`411301
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`411471
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`411618
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``411729
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``411780
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``411904
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``412138
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``412371
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``412553
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`412880
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``412949
oeven?`1`x`(_$)->Boolean`dPermutation(S)``413025
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``413156
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``413305
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``413454
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``413603
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``413752
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``414075
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)`414455
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``414830
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``414871
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``414912
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`414953
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`415077
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)`415179
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`415405
oexists?`1`x`(_$)->Boolean`cFileNameCategory``415610
oexp1`0`x`()->_$`dDoubleFloat``415680
oexp1`0`x`()->_$`dFloat``415753
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``415813
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``415900
oexp`1`n`(F)->F`pElementaryFunction(R,F)``416370
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``416436
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``416510
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)`pStreamTranscendentalFunctions(Coef)``416583
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``416659
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``416735
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``416808
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``416883
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``416950
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``417013
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`417135
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``417261
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``417428
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)))`417541
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``417983
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``418045
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``418452
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``418547
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``418642
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``418892
oexpand`1`x`(_$)->R`dFactored(R)``419079
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``419292
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``419336
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``419703
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``419795
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``420016
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``420203
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``420343
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``420508
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``420725
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``421119
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``421256
oexponent`1`n`(_$)->Integer`dMachineFloat``421296
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``421355
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``421409
oexponent`1`x`(_$)->Integer`dFactored(R)``421509
oexponential1`0`n`()->Float`pRandomFloatDistributions``421654
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``421697
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``421809
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``421852
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``421988
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``422149
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``424255
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``426348
oexpr`1`x`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``426663
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``426786
oexprex`1`x`(OutputForm)->String`dMathMLFormat``426990
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``427394
oexptMod`4`x`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``427514
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``427672
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`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``427733
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``427870
oexquo`2`n`(_$,_$)->_$`dOutputForm``427977
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`428039
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`428179
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`428299
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`428449
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`428599
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cIntegralDomain``428726
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``428856
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``428998
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``429597
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``429696
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``429859
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``429956
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``430252
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``430354
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``430590
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``430673
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``430852
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``430898
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``430993
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``431316
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``431701
oextendedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``431913
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`432096
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`432318
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`432587
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``432816
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``432982
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``433053
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``433194
oextension`1`x`(_$)->String`cFileNameCategory``433265
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``433332
oexternal?`1`n`(_$)->Boolean`dFortranType``433479
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``433565
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``433654
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``433737
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``433874
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``434108
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``434195
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``434323
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``434482
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``434633
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``434777
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``434909
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`435109
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`435217
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``435394
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``435622
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``435850
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``435961
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``436107
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``436347
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``436443
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``436497
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``436633
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``436718
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``436903
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``437044
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``437284
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``437639
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`437756
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``437806
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``438056
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``438306
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``438588
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``438870
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``439066
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``439178
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``439322
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``439417
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``439527
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``439816
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``440061
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``440401
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``440713
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`440788
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``440844
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``440932
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``441029
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``441161
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``441236
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`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``441327
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``441462
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``441524
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``441833
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``441914
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``441976
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``442078
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``442166
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``442263
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``442384
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``442470
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``442554
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``442739
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``442963
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``443075
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``443142
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``443209
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``443276
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``443357
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``443481
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``443590
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``443745
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``443983
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``444187
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``444347
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``444586
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``444732
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``444959
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``445146
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``445302
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``445557
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``445784
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``446099
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``446192
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``446346
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``446511
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``446615
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``446719
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``446847
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``446975
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``447061
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``447174
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``447267
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dOrderedFreeMonoid(S)``447360
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``447453
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``447753
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``447832
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``447894
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``447956
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``448003
ofalse`0`x`()->_$`dBoolean``448050
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``448093
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``448181
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``448928
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``449111
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``449296
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``449610
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(_$,shallowlyMutable)`449863
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``449989
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``450054
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``450113
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``450192
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``450366
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``450441
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``450618
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,_$)->Union(S,"failed")`cCollection(S)``450703
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``450847
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``450961
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``451015
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``451069
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`451156
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`451368
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``451580
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``451779
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``451976
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``452094
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``452410
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``452484
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``452545
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`452630
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``452821
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``452931
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``453108
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``453225
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``453313
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``453562
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``453685
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``453866
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`454055
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``454138
oflatten`1`n`(_$)->_$`dInputForm``454321
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``454561
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``454778
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``454995
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``455086
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``455174
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``455310
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``455368
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`455425
ofloor`1`x`(_$)->_$`cRealNumberSystem``455501
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`455564
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``455657
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``455828
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``455921
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``456014
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``456142
oformula`1`x`(_$)->List(String)`dScriptFormulaFormat``456286
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``456372
ofortranCharacter`0`n`()->_$`dFortranType``456474
ofortranComplex`0`n`()->_$`dFortranType``456554
ofortranDoubleComplex`0`n`()->_$`dFortranType``456630
ofortranDouble`0`n`()->_$`dFortranType``456719
ofortranInteger`0`n`()->_$`dFortranType``456803
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``456879
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``457001
ofortranLogical`0`n`()->_$`dFortranType``457086
ofortranReal`0`n`()->_$`dFortranType``457162
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``457232
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``457312
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``457502
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``457541
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``457632
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``457841
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`457935
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``458042
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``458123
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``458205
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``458291
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`458372
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``458499
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``458569
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``458671
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`458801
ofront`1`x`(_$)->S`cQueueAggregate(S)``458842
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`458992
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``459087
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``459269
ofullDisplay`1`x`(_$)->Void`dIndexCard``459355
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``459447
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``459584
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``459751
ofunctionName`1`x`(Symbol)->_$`dGuessOption``459882
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``460070
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``460141
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``460267
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``460370
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``460447
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``460533
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``460568
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``460622
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``460798
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``460974
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)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``461057
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``461175
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``461277
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``461387
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``461497
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``461574
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`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``461658
ogcd`1`x`(List(_$))->_$`cGcdDomain``461742
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``461831
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`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``461926
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`462021
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`462134
ogcd`2`x`(_$,_$)->_$`cGcdDomain``462261
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``462348
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``462462
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``462572
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``462602
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``462746
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``462878
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``462978
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``463081
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``463177
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``463274
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``463336
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(F),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``463529
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``463783
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``464172
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``464341
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``464510
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``464679
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``464848
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``465708
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``466165
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``466365
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``466594
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``466784
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``466940
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``467089
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``467190
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)``467308
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``467492
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)``467893
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``467995
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``468239
ogenerate`1`x`(()->S)->_$`dStream(S)``468373
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``468525
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``468598
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``468835
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`469148
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``469287
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``469352
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``469444
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``469530
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``469594
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``469698
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``469779
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``469854
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`469929
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`470263
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`470408
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`470681
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`470828
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``471070
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`471215
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`471550
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`471700
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`471940
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`472092
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``472299
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``472467
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``472632
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``472836
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``473006
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``473168
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``473396
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``473476
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``473556
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``473597
ogetCode`1`n`(_$)->SExpression`dFortranCode``473738
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``473880
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``474024
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``474283
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``474404
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``474482
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``474727
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``474888
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``474982
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``475076
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``475170
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``475347
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``475524
ogetOp`1`n`(F)->BasicOperator`pRecurrenceOperator(R,F)``475701
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``475838
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``476023
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``476326
ogetShiftRec`3`n`(BasicOperator,Kernel(F),Symbol)->Union(Integer,"failed")`pRecurrenceOperator(R,F)`has(R,Ring)`0
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``476442
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``476531
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``476604
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``476803
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``476941
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``477070
oget_variables`3`n`(List(Fraction(Polynomial(Integer))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``477208
ogoto`1`n`(SingleInteger)->_$`dFortranCode``477353
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``477428
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``477623
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``477780
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``477952
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``478113
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``478335
ographImage`0`n`()->_$`dGraphImage``478769
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``478954
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``480048
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``480319
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``480659
ogreen`0`x`()->_$`dColor``480832
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``480909
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``481205
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``481242
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``481337
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``481839
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``482427
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``483044
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``483753
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``483965
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``484205
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``484448
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``484572
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``484678
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``485143
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``485531
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``485622
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``485692
oground`1`x`(_$)->R`cFunctionSpace(R)``485770
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)``485897
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)))`486127
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)``486332
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
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``486526
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`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`486822
oguessAlg`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessAlg`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessAlg`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
oguessAlg`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
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)``487014
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`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``487287
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)))`487503
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`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``487742
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`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``487958
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)))`488151
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`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``488382
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)``488587
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)``488816
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)``489009
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)))`489313
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)``489515
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)``489803
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)))`490076
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)``490342
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`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``490599
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`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`490932
oguessPade`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPade`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPade`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
oguessPade`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
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)``491108
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)``491373
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)))`491655
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)``491927
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)``492173
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)))`492361
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)``492525
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)``492677
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)``492870
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)``493028
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)``493324
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,VarSet,Dpol)``493587
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`493622
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`493808
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`493994
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`494192
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`494411
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`494616
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``494842
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``494949
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``495030
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``495108
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``495188
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``495279
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``495370
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->Integer`dIndexedString(mn)``495449
ohash`1`x`(_$)->Integer`dDoubleFloat``495511
ohash`1`x`(_$)->SingleInteger`cSetCategory``495567
ohash`1`x`(_$)->_$`cIntegerNumberSystem``495626
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``495683
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``495928
ohclf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``496106
ohconcat`1`n`(List(_$))->_$`dOutputForm``496274
ohconcat`2`n`(_$,_$)->_$`dOutputForm``496353
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``496436
ohcrf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``496615
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``496784
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``496873
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``496961
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``497273
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``497535
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``497718
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``497879
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``498050
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`498175
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``498473
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``498589
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``498846
oheap`1`x`(List(S))->_$`dHeap(S)``498969
oheight`0`n`()->Integer`dOutputForm``499060
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``499136
oheight`1`n`(_$)->Integer`dOutputForm``499243
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``499317
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``499380
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``499502
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``499790
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``500110
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``500399
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``500433
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``500597
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``500868
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``500949
ohexDigit?`1`x`(_$)->Boolean`dCharacter``501143
ohexDigit`0`x`()->_$`dCharacterClass``501277
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``501399
ohi`1`x`(_$)->S`cSegmentCategory(S)``501475
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`501577
ohigh`1`x`(_$)->S`cSegmentCategory(S)``501829
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``501921
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``502102
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``502192
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``502302
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``502433
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``502792
ohspace`1`n`(Integer)->_$`dOutputForm``503026
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``503089
ohue`1`n`(Point(R))->R`pPointPackage(R)``503190
ohue`1`x`(_$)->Color`dPalette``503513
ohue`1`x`(_$)->Integer`dColor``503591
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``503667
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``503803
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``503939
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``504029
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``504119
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``504335
oid`1`x`(A)->A`pMappingPackage1(A)``504515
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``504547
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``504845
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``504924
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``505029
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``505107
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``505275
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``505374
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``505529
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`505743
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``505834
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``505892
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``505946
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``506009
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`506072
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`506135
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``506198
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``506359
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``506418
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``506477
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``506537
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``506597
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``506657
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``506717
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``506775
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``506833
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``506889
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``506945
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``507002
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``507058
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``507115
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``507171
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``507228
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``507284
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``507341
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``507397
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``507454
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``507510
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``507567
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``507625
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``507680
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``507736
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``507791
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``507847
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``507902
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``507958
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``508018
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``508076
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``508133
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``508188
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``508245
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``508300
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``508357
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``508419
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``508475
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``508530
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``508586
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``508641
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``508697
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``508753
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``508809
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``508864
oimagE`1`x`(_$)->R`cOctonionCategory(R)``508920
oimagI`1`x`(_$)->R`cOctonionCategory(R)``509002
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``509084
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``509168
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``509250
oimagK`1`x`(_$)->R`cOctonionCategory(R)``509334
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``509416
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``509500
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``509599
oimag`1`x`(_$)->R`cComplexCategory(R)``509698
oimagi`1`x`(_$)->R`cOctonionCategory(R)``509756
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``509828
oimagj`1`x`(_$)->R`cOctonionCategory(R)``509886
oimagk`1`x`(_$)->R`cOctonionCategory(R)``509958
oimplies`2`x`(_$,_$)->_$`dBoolean``510030
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``510125
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``510214
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``510321
oinR?`1`n`(_$)->Boolean`dPattern(R)``510718
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``510813
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``510923
oincFatal`1`n`(String)->Void`pUnittestCount``511043
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``511148
oincPass`0`n`()->Void`pUnittestCount``511265
oinc`1`x`(_$)->_$`cIntegerNumberSystem``511343
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``511386
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``511571
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``511756
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`511911
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``512041
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``512234
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``512421
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``512603
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``512684
oindexName`1`x`(Symbol)->_$`dGuessOption``512795
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``512934
oindex`1`x`(PositiveInteger)->_$`cFinite``512971
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``513218
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``513319
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``513527
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``513647
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``513744
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``513844
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``513944
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``514040
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``514136
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``514366
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``514596
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``514860
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``515124
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)``515388
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``515500
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``515612
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``515809
oinf`1`x`(_$)->R`cIntervalCategory(R)``515965
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``516027
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``516163
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``516300
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``516358
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``516432
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``516577
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``516722
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``516867
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``517012
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``517125
oinfinity`0`x`()->_$`dOnePointCompletion(R)``517168
oinfix?`1`n`(_$)->Boolean`dOutputForm``517211
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``517321
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``517464
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``517552
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`()->_$`cStepThrough``517608
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``517669
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``517894
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``518046
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``518484
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``518949
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``519272
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``519544
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``519819
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``520051
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``520232
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``520416
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)``520534
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``520878
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``520997
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``521129
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)``521487
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``521571
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``521685
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``521905
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``521971
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``522098
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``522168
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``522266
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``522363
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``522463
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``522572
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``522682
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``522811
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``522977
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``523077
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)``523312
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``523531
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`523786
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``523829
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``523879
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``523944
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`523984
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``524237
oint`1`n`(_$)->_$`dOutputForm``524346
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``524432
oint`2`n`(_$,_$)->_$`dOutputForm``524517
oint`3`n`(_$,_$,_$)->_$`dOutputForm``524639
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``524801
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``524842
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``524934
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``525028
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``525111
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``525257
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``525361
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``525455
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``525579
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``525643
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``525717
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``525809
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``525904
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``525991
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``526077
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``526938
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``527799
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``528652
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``529513
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``529585
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``529792
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``530133
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``530269
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``530494
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``530715
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``530883
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``530978
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``531109
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`531197
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``531292
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``531433
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``531515
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`531584
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`531767
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`531956
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`532073
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`532270
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`532459
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`532725
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`532914
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`533103
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`533296
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`533485
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`533674
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``533867
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``534031
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``534146
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``534310
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`534474
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`534590
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`534722
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`534854
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`534986
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`535118
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`535250
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`535382
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`535545
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`535774
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`535963
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``536117
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``536528
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``536939
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`537350
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``537504
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``537701
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``538039
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``538080
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``538244
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``538354
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``538528
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)``538702
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``538822
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``538942
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``539025
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``539151
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``539236
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``539361
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``539513
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``539783
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``540053
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``540339
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``540620
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``540764
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``540908
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``540957
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``541353
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``541531
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``541584
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``541695
ointerpret`1`n`(_$)->Any`dInputForm``541819
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``541882
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)``541969
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``542074
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``542251
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``542332
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``542411
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``542680
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``542774
ointerval`1`x`(R)->_$`cIntervalCategory(R)``542840
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``542906
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``543090
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``543163
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``543198
oinv`1`x`(_$)->_$`cDivisionRing``543233
oinv`1`x`(_$)->_$`cGroup``543326
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`543380
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`543447
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``543516
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``544225
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``544457
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``544682
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``544892
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``544960
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``545122
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`545342
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`545495
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`545657
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`545789
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`545951
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``546026
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``546147
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``546366
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``546562
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``546749
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``546840
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``546955
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``547085
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``547231
oiprint`1`n`(String)->Void`pInternalPrintPackage``547286
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``547381
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`547462
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``547525
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``547609
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`547771
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``548124
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``548476
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``548701
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``548975
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``549041
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``549120
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``549243
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``549335
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``549419
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``549520
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`549591
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`549726
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``550226
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)``550333
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`550445
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``550530
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`550643
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`550754
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``550863
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`550971
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``551058
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``551178
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``551296
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``551426
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`551567
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``551666
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``551820
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``551928
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`552024
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``552110
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``552209
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``552329
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`552457
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``552555
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``552852
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``553035
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``553103
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``553288
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``553496
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``553704
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``553986
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``554191
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``554277
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``554514
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``554806
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``555098
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``555452
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``555806
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``555903
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``556071
okernel`1`n`(Symbol)->_$`dKernel(S)``556427
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``556488
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``556591
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``556675
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``556872
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``557038
okey`1`n`(_$)->Integer`dGraphImage``557110
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``557241
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``557399
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``557561
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``557628
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``557713
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``557760
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``558084
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``558528
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``558722
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``558842
olabel`2`n`(_$,_$)->_$`dOutputForm``558951
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``559026
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``559156
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``559310
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``559483
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``559632
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``559912
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``560091
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``560399
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``560765
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``561037
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`561188
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``561358
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``561520
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``561877
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`562064
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``562313
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`562448
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``562726
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``563426
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``563541
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``563708
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)``563884
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``564068
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``564152
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``564307
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``564441
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``564624
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``564694
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``564827
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``564941
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``565185
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``565244
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``565437
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``565609
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``565794
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``565962
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`566239
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`566317
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`566407
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``566934
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``567122
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)``567332
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)``567538
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``567777
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``568056
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)``568408
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``568742
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``569018
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``569346
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``569521
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``569804
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``570183
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`570505
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``570655
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``570748
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``570833
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``570965
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``571139
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``571242
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``571340
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``571697
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``571798
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``571904
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``571954
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``572001
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``572184
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``572281
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCategory(R,S)``572374
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``572480
oleadingCoefficient`1`x`(_$)->R`cMonoidRingCategory(R,M)`has(M,OrderedSet)`572596
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``572764
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``572880
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``573071
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``573118
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``573231
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``573275
oleadingMonomial`1`x`(_$)->M`cMonoidRingCategory(R,M)`has(M,OrderedSet)`573322
oleadingMonomial`1`x`(_$)->S`cFreeModuleCategory(R,S)``573481
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``573594
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``573685
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``573768
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)``573937
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``574090
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``574127
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``574188
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``574443
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``574774
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``574892
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``575026
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``575250
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``575474
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``575632
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``576000
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``576368
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``576677
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`576883
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`577089
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``577343
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`577469
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`577595
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``577709
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``577948
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``577994
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`578232
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``578470
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`578670
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`578871
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``579105
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``579233
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`579331
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`579388
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``579445
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``579635
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``579825
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`580017
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`580209
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``580305
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`580544
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``580783
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`580945
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``581165
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``581354
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)``581526
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``581733
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`581926
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``582119
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``582313
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``582595
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``582877
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``583089
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``583182
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``583352
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`583533
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)``583658
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`583781
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`583905
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``583962
oleft`1`n`(_$)->_$`dMagma(VarSet)``584118
oleft`1`n`(_$)->_$`dOutputForm``584269
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``584336
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``584410
oleft`2`n`(_$,Integer)->_$`dOutputForm``584456
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`584543
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``584711
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``584987
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``585341
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``585452
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``585508
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``585600
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``585673
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``585756
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``585839
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`585952
olength`1`x`(_$)->_$`cIntegerNumberSystem``586055
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``586109
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)``586143
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``586247
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``586325
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``586529
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``586666
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``586895
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``587083
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``587482
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``587549
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``587758
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``588100
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``588269
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``588434
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``588692
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``588824
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``588897
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``589167
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``589392
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``589447
olhs`1`x`(_$)->S`dEquation(S)``589517
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``589591
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``589651
olibrary`1`x`(FileName)->_$`dLibrary``589780
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``589834
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``590041
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``590248
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``590572
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``590896
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``590988
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``591024
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``591126
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``591166
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``591201
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)``591279
olight`1`x`(Color)->_$`dPalette``591347
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``591439
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``591706
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``591780
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)``591856
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)``591941
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)``592067
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``592193
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``592394
olimitedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``592665
olimitedint`2`n`(Fraction(UP),List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pRationalIntegration(F,UP)``592971
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``593251
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``593289
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``593442
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``593546
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``593672
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`593824
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`594500
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`594653
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`594891
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``595046
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``595289
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``595521
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``595713
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``595952
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``595990
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``596032
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``596192
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``596361
olinkToFortran`4`n`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``596542
olinkToFortran`4`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``596602
olinkToFortran`5`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``596663
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``596728
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``596801
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``596882
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``596998
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``597114
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``597361
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``597478
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``597567
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``597656
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``597732
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``597814
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``597913
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``598007
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``598162
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``598530
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``599007
olist`1`x`(_$)->List(_$)`dSymbol``599071
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``599175
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``599211
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``599280
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``599550
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``599808
olo`1`x`(_$)->S`cSegmentCategory(S)``600064
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``600151
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``600352
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``600553
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``601453
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``602349
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``603247
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``604153
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``604213
olog10`0`x`()->_$`dFloat``604269
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``604337
olog10`1`x`(_$)->_$`dDoubleFloat``604415
olog10`1`x`(_$)->_$`dFloat``604488
olog2`0`x`()->_$`dFloat``604559
olog2`1`x`(_$)->_$`dDoubleFloat``604645
olog2`1`x`(_$)->_$`dFloat``604716
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``604785
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``604945
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``605069
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``605134
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``605258
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``605323
olog`1`n`(F)->F`pElementaryFunction(R,F)``605410
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``605474
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)`pStreamTranscendentalFunctions(Coef)``605626
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``605684
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``605742
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``605813
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``605886
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``605958
olog`1`x`(_$)->_$`cElementaryFunctionCategory``606025
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``606268
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`606388
ological?`1`n`(_$)->Boolean`dFortranScalarType``606512
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``606604
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``606684
olookup`1`x`(_$)->PositiveInteger`cFinite``606758
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``606846
olow`1`x`(_$)->S`cSegmentCategory(S)``607328
olowerCase!`1`x`(_$)->_$`cStringAggregate``607417
olowerCase?`1`x`(_$)->Boolean`dCharacter``607521
olowerCase`0`x`()->_$`dCharacterClass``607632
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``607756
olowerCase`1`x`(_$)->_$`dCharacter``607837
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``608008
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``608160
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``608456
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``608658
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``608742
olquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``608936
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``609134
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``609248
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``609340
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``609423
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``609519
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``609595
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``609677
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`609804
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``609907
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``610018
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`610355
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``610588
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``610715
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``610805
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``610966
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``611226
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`611550
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`611796
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``612045
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``612169
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``612323
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``612482
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``612641
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``612841
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``613001
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``613089
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``613126
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``613252
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``613359
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``613457
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``613715
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``614048
omakeGraphImage`1`n`(_$)->_$`dGraphImage``614406
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``614845
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``615429
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``616075
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``616159
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``616437
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``616715
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``617031
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``617378
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``617648
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``617941
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``618272
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``618629
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``619053
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``619423
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``619852
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``620230
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``620621
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``621052
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``621510
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``622037
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``622194
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``622279
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``622406
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``622526
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``622614
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``623525
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``623660
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)->_$`cDifferentialPolynomialCategory(R,S,V,E)``623727
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`624042
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``624370
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``624512
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``624734
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``625083
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``625309
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``625644
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``625888
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``626169
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``626222
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``626266
omantissa`1`n`(_$)->Integer`dMachineFloat``626356
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``626415
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`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``626480
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`626573
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``626687
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``626798
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``626884
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``627323
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``627927
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``628014
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``628101
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``628188
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``628316
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``628401
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``628486
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``628571
omapLinear`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``628656
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``628792
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``628963
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``629007
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``629172
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``629276
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``629380
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``629704
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``630186
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``630294
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``630335
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``630429
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``630527
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``630656
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``630780
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``630876
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``630915
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``631064
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``631206
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``631332
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``631421
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``631599
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``631785
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``631939
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``632113
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``632226
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``632435
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``632577
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``632738
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``632777
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``632816
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``632855
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``632976
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``633084
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``633192
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``633233
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``633338
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)``633378
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``633419
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``633460
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``633571
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``633666
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``633777
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``633885
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``633988
omap`2`x`((R)->R,_$)->_$`dFactored(R)``634086
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``634362
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``634461
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``634654
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``634736
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``634823
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``635097
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``635276
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``635366
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``635482
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``635655
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``635694
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``635983
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``636107
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``636254
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`636346
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``636575
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``636644
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``636722
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``636857
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`636992
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``637082
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``637195
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``637277
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``637318
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``637359
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``637454
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``637549
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``637588
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``637683
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``637845
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``638006
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``638104
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``638327
omap`2`x`((S)->S,_$)->_$`dEquation(S)``638539
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``638642
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``638724
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``638852
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)``638953
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)``639094
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``639404
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``639447
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``639490
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``639921
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``639964
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``640223
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``640469
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``640590
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``640738
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``640856
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)``641167
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``641341
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`641685
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``641776
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``641868
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``641935
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``642124
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``642527
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``642899
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``643260
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``643635
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``644171
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``644560
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``644934
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``645024
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``645267
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``645357
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``645597
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``645687
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``645928
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``646018
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``646259
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``646349
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``646590
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``646690
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``646759
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``646935
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``647045
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``647191
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``647337
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``647421
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``647513
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``647603
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``647660
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``648007
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``648072
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`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`648239
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``648490
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``648545
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``648745
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``648812
omaxPoints3D`0`n`()->Integer`dPlot3D``649151
omaxPoints`0`n`()->Integer`dPlot``649227
omaxPoints`0`x`()->Integer`pGraphicsDefaults``649300
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``649374
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``649445
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``649500
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``649801
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``649890
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``649977
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``650032
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``650171
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``650226
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`650586
omax`0`x`()->_$`dSingleInteger``650649
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`650705
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``650777
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedSet``650854
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``650948
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``651106
omaximumExponent`0`n`()->Integer`dMachineFloat``651192
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``651266
omaxint`0`n`()->PositiveInteger`dMachineInteger``651350
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``651414
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``651488
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``651570
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``651649
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`651888
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`652932
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`653342
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`653523
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``654602
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``654723
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``655358
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``655462
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`655583
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`655859
omembers`1`x`(_$)->List(S)`dMultiset(S)``656055
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`656185
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``656276
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``656404
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)``656505
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``656689
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``657011
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``657090
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(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`(_$,_$)->_$`dSubSpace(n,R)``657281
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`657372
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``657531
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``657661
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(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,_$,_$)->_$`cFiniteLinearAggregate(S)``657838
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``658469
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``658683
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``658744
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``658808
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``658865
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``658927
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``658996
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``659220
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``659482
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``660225
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``661141
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``661700
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``662477
omessagePrint`1`n`(String)->Void`dOutputForm``662852
omessage`1`n`(String)->_$`dOutputForm``662992
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``663077
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``663149
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``663226
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``663331
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``663436
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``663529
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``663620
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`663658
ominPoints3D`0`n`()->Integer`dPlot3D``663874
ominPoints`0`n`()->Integer`dPlot``663950
ominPoints`0`x`()->Integer`pGraphicsDefaults``664023
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``664097
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``664168
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``664203
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`664238
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`664308
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``664377
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``664467
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`664555
omin`0`x`()->_$`dSingleInteger``664618
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`664675
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``664748
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedSet``664832
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``664926
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``665003
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``665161
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)``665257
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``665376
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`665497
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`665576
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``665735
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``665811
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``665934
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``666083
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``666231
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``666389
ominimumExponent`0`n`()->Integer`dMachineFloat``666561
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``666635
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``666719
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`666843
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`666967
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``667055
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``667137
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``667286
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``667437
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``667640
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``667693
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``667742
omirror`1`n`(_$)->_$`dMagma(VarSet)``667840
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``668112
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``668175
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``668289
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``668389
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``668424
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``668590
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`668855
omkcomm`1`x`(Integer)->_$`dCommutator``668976
omkcomm`2`x`(_$,_$)->_$`dCommutator``669016
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``669060
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``669105
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``669372
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``669608
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``670117
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``670594
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pInnerModularHermitePade``0
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``670909
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``671407
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``671541
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)``671657
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`672566
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``672642
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``672744
omodulus`0`n`()->Rep`dModMonic(R,Rep)``672807
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``672845
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``672900
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``672939
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``672978
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``673017
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``673293
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``673373
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``673476
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``673689
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``673896
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``674038
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)``674228
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`674477
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`674712
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``674995
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``675226
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`675378
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`675615
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``675900
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``676161
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)``676494
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``676911
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``677008
omonom`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``677105
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``677211
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``677278
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``677319
omonomial?`1`x`(_$)->Boolean`cFreeModuleCategory(R,S)``677386
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``677473
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``677540
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``677613
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``677777
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``677999
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``678043
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``678087
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``678197
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``678306
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``678403
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``678490
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``678620
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``678750
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``678850
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``678962
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``679040
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``679097
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``679153
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``679317
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``679402
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``679484
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)`679666
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``679875
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``679956
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``680263
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``680570
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``680651
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``680733
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``680861
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``681111
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``681365
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``681455
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``681533
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)``681712
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``681887
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``682095
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``682341
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``682524
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``682558
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``682640
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``682689
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``682745
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``682965
omultiple?`1`n`(_$)->Boolean`dPattern(R)``683082
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``683227
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``683533
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``683803
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``683970
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``684184
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``684406
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``684541
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``684711
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``684838
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``684958
omultiset`0`x`()->_$`dMultiset(S)``685103
omultiset`1`x`(List(S))->_$`dMultiset(S)``685184
omultiset`1`x`(S)->_$`dMultiset(S)``685260
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``685330
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``685433
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``685536
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``685670
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``685804
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``685856
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``685957
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``686096
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``686319
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``686479
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``686518
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``686545
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``687087
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``687629
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``688188
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``688747
oname`1`n`(_$)->Symbol`dKernel(S)``688788
oname`1`n`(_$)->Symbol`dRuleCalled(f)``688850
oname`1`x`(_$)->Name`cFileCategory(Name,S)``688891
oname`1`x`(_$)->String`cFileNameCategory``688961
oname`1`x`(_$)->Symbol`dBasicOperator``689023
oname`1`x`(_$)->_$`dSymbol``689077
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``689137
onand`2`x`(_$,_$)->_$`dBoolean``689244
onary?`1`x`(_$)->Boolean`dBasicOperator``689325
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``689389
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``689466
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``689541
onegative?`1`x`(_$)->Boolean`cOrderedRing``689672
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``689747
onewLine`0`x`()->String`pDisplayPackage``689849
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``689909
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``689948
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``690055
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``690099
onew`0`n`()->_$`dPatternMatchResult(R,S)``690153
onew`0`n`()->_$`dSubSpace(n,R)``690207
onew`0`n`()->_$`dSubSpaceComponentProperty``690241
onew`0`x`()->_$`dScriptFormulaFormat``690275
onew`0`x`()->_$`dSymbol``690450
onew`0`x`()->_$`dTexFormat``690518
onew`1`x`(_$)->_$`dSymbol``690689
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``690766
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``690839
onew`3`x`(String,String,String)->_$`cFileNameCategory``690935
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``691251
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``691609
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``691942
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Union(_$,"failed")`cStepThrough``692649
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``692736
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``693178
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``694014
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``695008
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``695414
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``695820
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``695904
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``696965
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``697789
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``697884
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``698937
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``699163
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`699431
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``699683
onil`0`x`()->_$`dList(S)``699837
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`699881
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``700177
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``700276
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,SetCategory)`700519
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``700650
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``700763
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)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``700906
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``700987
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``701027
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`701154
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``701281
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``701382
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``701483
onor`2`x`(_$,_$)->_$`dBoolean``701588
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``701667
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``701708
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``701751
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)``701865
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``701996
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``702058
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``702121
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``702239
onorm`1`x`(_$)->R`cComplexCategory(R)``702381
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``702442
onorm`1`x`(_$)->R`cOctonionCategory(R)``702557
onorm`1`x`(_$)->R`cQuaternionCategory(R)``702667
onorm`1`x`(_$)->_$`cRealNumberSystem``702763
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``702820
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``702950
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``703081
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``703162
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``703259
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``703395
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``703532
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``703662
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``703793
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``703929
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`704066
onormal01`0`n`()->Float`pRandomFloatDistributions``704367
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``704406
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``704571
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`704670
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``704953
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``705088
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`705189
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``705637
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`705748
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``705923
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``706171
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``706213
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``706378
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``706450
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``706582
onormalize`1`x`(_$)->_$`dFloat``706702
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``706771
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``706915
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``707028
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``707249
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``707473
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``707642
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``707826
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``708157
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`708359
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``708561
onot`1`x`(_$)->_$`cBitAggregate``708617
onot`1`x`(_$)->_$`dBoolean``708703
onot`1`x`(_$)->_$`dSingleInteger``708757
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``708851
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)``708934
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``708969
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``709043
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``709115
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``709153
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``709237
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``709323
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``709409
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dOrderedFreeMonoid(S)``709495
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``709588
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``709804
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``709889
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``709974
onthFactor`2`n`(_$,Integer)->S`dOrderedFreeMonoid(S)``710059
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``710151
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``710432
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``710513
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``710737
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``710906
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``711019
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``711326
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``711396
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``711454
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`711535
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`711621
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`711707
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`711793
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`711879
onull`1`x`(_$)->Boolean`dList(S)``711966
onullary?`1`x`(_$)->Boolean`dBasicOperator``712030
onullary`1`x`(A)->()->A`pMappingPackage1(A)``712088
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``712172
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`712305
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`712438
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`712571
onumFunEvals3D`0`n`()->Integer`dPlot3D``712704
onumFunEvals`0`n`()->Integer`dPlot``712773
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`712839
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``712894
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``712942
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``713034
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``713126
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``713321
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``713787
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``713966
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``714068
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``714261
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``714550
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``714636
onumberOfHues`0`x`()->PositiveInteger`dColor``714777
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``714860
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``715360
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``715533
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCategory(R,S)``715631
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``715711
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``715822
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``715968
onumberOfValuesNeeded`4`n`(Integer,BasicOperator,Symbol,F)->Integer`pRecurrenceOperator(R,F)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``716120
onumer`1`n`(_$)->M`dLocalize(M,R)``716177
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``716234
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``716344
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``716424
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``716495
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`716605
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`716844
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``716922
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``717008
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`717206
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`717331
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`717456
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`717581
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`717741
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`717900
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`718059
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`718126
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`718193
onumeric`1`x`(S)->Float`pNumeric(S)``718260
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`718327
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`718429
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`718530
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``718631
oobj`1`x`(_$)->None`dAny``718733
oobjectOf`1`x`(_$)->OutputForm`dAny``718885
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``718997
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``719228
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``719573
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``719683
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`719786
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``719853
oodd?`1`x`(_$)->Boolean`dPermutation(S)``719927
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``720060
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``720208
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``720356
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``720504
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``720652
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``720719
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``721044
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``721420
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``721509
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``721633
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``721775
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(_$)->Boolean`cMonadWithUnit``721842
oone?`1`x`(_$)->Boolean`cMonoid``721902
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``721957
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``722063
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``722150
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``722249
oone`1`x`(Boolean)->_$`dGuessOption``722339
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``722464
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``722537
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``722612
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``722676
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``722792
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``722878
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``723110
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``723280
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``723370
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``723542
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``723621
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``723733
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``723911
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``723978
ooperator`1`x`(Symbol)->_$`dBasicOperator``724090
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``724170
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``724247
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``724364
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``724417
ooption?`2`x`(List(_$),Symbol)->Boolean`dGuessOption``724618
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``724819
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``725007
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``725150
ooptional?`1`n`(_$)->Boolean`dPattern(R)``725293
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``725397
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``725571
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``725710
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``725938
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``726167
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``726461
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``726746
oor`2`n`(_$,_$)->_$`dOutputForm``726862
oor`2`x`(_$,_$)->_$`cBitAggregate``726918
oor`2`x`(_$,_$)->_$`dBoolean``727018
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``727112
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``727319
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``727508
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``727698
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``727803
oord`1`x`(_$)->Integer`dCharacter``727938
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``728079
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``728116
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``728153
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``728190
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``728227
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``728383
oorder`1`x`(_$)->Integer`cFloatingPointSystem``728539
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``728659
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``728865
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``728982
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``729078
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``729165
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``729230
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``729353
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`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``729489
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``729575
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``729694
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``729819
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`729973
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``730140
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``730185
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``730254
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`730419
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``730563
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``730967
ooutputAsFortran`1`n`(FileName)->Void`pFortranPackage``731100
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``731150
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``731252
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``731422
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``731496
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``731647
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``731835
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``731987
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``732148
ooutputFixed`0`x`()->Void`dFloat``732272
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``732387
ooutputFloating`0`x`()->Void`dFloat``732520
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``732703
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``732858
ooutputForm`1`n`(Integer)->_$`dOutputForm``732930
ooutputForm`1`n`(String)->_$`dOutputForm``732996
ooutputForm`1`n`(Symbol)->_$`dOutputForm``733061
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``733126
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``733308
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``733430
ooutputGeneral`0`x`()->Void`dFloat``734024
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``734215
ooutputList`1`x`(List(Any))->Void`pOutputPackage``734331
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``734541
ooutput`1`x`(OutputForm)->Void`pOutputPackage``734681
ooutput`1`x`(String)->Void`pOutputPackage``734829
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`734972
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``735064
oover`2`n`(_$,_$)->_$`dOutputForm``735241
ooverbar`1`n`(_$)->_$`dOutputForm``735335
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``735403
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``735498
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dOrderedFreeMonoid(S)``735707
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``735922
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``736064
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``736150
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``736238
opack!`1`x`(_$)->_$`dLibrary``736324
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``736410
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``736499
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``736625
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``736849
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``737158
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``737467
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``737788
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``738053
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``738197
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))`738276
opalgLODE0`7`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`738466
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))`738717
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)``738853
opalgRDE0`8`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``739334
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``739878
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``740298
opalgextint0`7`n`(F,Kernel(F),Kernel(F),F,Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``740565
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``741004
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``741222
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``741424
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``741606
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``741927
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``742057
opalglimint0`6`n`(F,Kernel(F),Kernel(F),List(F),F,SparseUnivariatePolynomial(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``742207
opalglimint0`7`n`(F,Kernel(F),Kernel(F),List(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``742618
opalglimint`4`n`(F,Kernel(F),Kernel(F),List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pPureAlgebraicIntegration(R,F,L)``743097
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``743434
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``743680
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``743887
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``744144
oparametric?`1`n`(_$)->Boolean`dPlot``744233
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``744303
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``744431
oparen`1`x`(List(_$))->_$`cExpressionSpace``744506
oparen`1`x`(_$)->_$`cExpressionSpace``744801
oparent`1`n`(_$)->_$`dSubSpace(n,R)``745024
oparse`1`n`(String)->_$`dInputForm``745207
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``745289
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``745532
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``745685
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``745850
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``746086
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``746323
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``746570
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``746620
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``746724
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``746828
opartition`1`n`(List(Integer))->_$`dPartition``747168
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``747256
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``747437
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``747510
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``747684
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`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``747890
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`747975
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``748169
opastel`1`x`(Color)->_$`dPalette``748320
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)``748416
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)``748681
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`748999
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``749204
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``749399
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``749585
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``749789
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`749972
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``750161
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)``750352
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``750573
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``750882
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``751145
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``751534
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``751731
opdct`1`n`(_$)->Integer`dPartition``751834
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``751983
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``752103
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``752268
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``752410
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``752538
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``752649
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``753915
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``754027
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``754242
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``754498
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``754731
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``754915
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``755082
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``755230
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``755390
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``755504
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``755759
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``756015
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``756134
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``756236
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``756293
opi`0`x`()->_$`cTranscendentalFunctionCategory``756434
opi`0`x`()->_$`dPi``756492
opile`1`n`(List(_$))->_$`dOutputForm``756552
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``756752
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``756910
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``757298
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``757769
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``757995
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``758216
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``758335
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``758455
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``758547
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``758682
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``758722
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``758762
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``758910
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``759067
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``759267
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``759350
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``759477
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``759659
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``759917
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``759985
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``760179
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``760231
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``760279
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`760399
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``760499
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`760628
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`760847
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`760981
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``761138
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``761211
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``761375
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``761463
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``761573
opointColor`1`x`(Float)->_$`dDrawOption``761801
opointColor`1`x`(Palette)->_$`dDrawOption``761944
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``762115
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``762235
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``762397
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``762584
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``762751
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``763028
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``763085
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``763175
opoint`1`x`(List(R))->_$`cPointCategory(R)``763275
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``763388
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``763508
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``763688
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``763944
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``764108
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``764352
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``764708
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``764953
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``765221
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``765260
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``765738
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`765849
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``765964
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``766178
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``766317
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``766392
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``766459
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``767027
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``767432
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``767851
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``767946
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``768030
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``768114
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``768252
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``768402
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``768594
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``768823
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``769189
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``769364
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``769487
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``769610
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``769762
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``769914
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``769953
opop!`1`x`(_$)->S`cStackAggregate(S)``770118
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``770338
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``770406
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``770482
oposition`1`x`(_$)->SingleInteger`dBinaryFile``770561
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``770643
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`770848
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``771007
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`771158
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``771371
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``771538
opositive?`1`x`(_$)->Boolean`cOrderedRing``771669
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``771747
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``771849
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``771974
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``772068
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``772194
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``772288
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``773142
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``773356
opostfix`2`n`(_$,_$)->_$`dOutputForm``773540
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``773616
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``773650
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``773799
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``774080
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``774186
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`774274
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`774365
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``774445
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``774739
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``774821
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``775000
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``775169
oprecision`0`n`()->PositiveInteger`dMachineFloat``775228
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``775296
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``775360
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`775438
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``775523
opredicates`1`n`(_$)->List(Any)`dPattern(R)``775676
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``775816
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``776057
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``776274
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``776423
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``776603
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)``776773
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)``776914
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``777055
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``777184
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``777307
opresub`2`n`(_$,_$)->_$`dOutputForm``777430
opresuper`2`n`(_$,_$)->_$`dOutputForm``777514
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``777602
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``777692
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``777776
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`777963
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`778089
oprimaryDecomp`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``778269
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``778385
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``778466
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``779597
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``779659
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``779823
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``779973
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``780064
oprime`1`n`(_$)->_$`dOutputForm``780161
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``780253
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``780335
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``780425
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``780781
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``781032
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``781244
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``781448
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``781597
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``781841
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``782041
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``782321
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`782764
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``783118
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``783566
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``783946
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`784145
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)`784234
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``784357
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`784480
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`784604
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`784735
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`784934
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``785100
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``785314
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``785697
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``785731
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``785811
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``786037
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``786075
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``786115
oprintCode`1`n`(_$)->Void`dFortranCode``786154
oprintHeader`0`n`()->Void`dTheSymbolTable``786222
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``786370
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``786516
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``786668
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))->_$`dFortranCode``786913
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``786992
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``787044
oprintTypes`1`n`(_$)->Void`dSymbolTable``787165
oprint`1`n`(_$)->Void`dOutputForm``787286
oprint`1`x`(OutputForm)->Void`pPrintPackage``787335
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``787446
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``787567
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``787757
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``787884
oprod`1`n`(_$)->_$`dOutputForm``787996
oprod`2`n`(_$,_$)->_$`dOutputForm``788084
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``788210
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``788376
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``788484
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``788640
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``788748
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``788904
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``789366
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``789643
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``789753
oprologue`1`x`(_$)->List(String)`dScriptFormulaFormat``790101
oprologue`1`x`(_$)->List(String)`dTexFormat``790189
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``790269
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``790370
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`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``790499
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`790615
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``790813
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`791061
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``791254
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)``791492
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)``791621
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)``791773
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)``791926
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``792074
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)``792303
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``792478
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)``792718
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``792894
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``793135
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``793345
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``793601
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``793865
optree`1`x`(S)->_$`dPendantTree(S)``793964
optree`2`x`(_$,_$)->_$`dPendantTree(S)``794011
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``794052
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``794235
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``794305
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``794419
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``794663
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``794718
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``794890
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``795130
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``795366
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``795505
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``795848
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``795990
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``796188
opush!`2`x`(S,_$)->S`cStackAggregate(S)``796338
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``796602
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``796688
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``796774
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``796821
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``796867
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``797019
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``797174
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``797324
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``797462
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``797507
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``797551
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``797711
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``797917
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``798364
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``798581
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``798830
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``799158
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``799529
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``799727
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``799903
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``800015
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``800157
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``800207
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`800302
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``800558
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``800741
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``800841
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``800927
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``800968
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``801017
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``801056
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``801111
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``801314
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``801520
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``801735
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``801931
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``802012
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``802093
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``802164
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``802235
oqueue`1`x`(List(S))->_$`dQueue(S)``802310
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``802470
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``802595
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``802862
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``802919
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``803030
oquote`0`x`()->_$`dCharacter``803127
oquote`1`n`(_$)->_$`dOutputForm``803198
oquoted?`1`n`(_$)->Boolean`dPattern(R)``803268
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``803359
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``803586
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``803661
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``803814
orCoord`1`n`(Point(R))->R`pPointPackage(R)``803919
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``804190
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``804318
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``804472
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``804672
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``804853
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``805091
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``805245
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl,nv)``805425
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``805743
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``805940
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``806106
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``806317
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``806508
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``806679
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``806874
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``807073
oradical`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``807306
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``807374
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``807458
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``807620
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``807687
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``807757
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``807824
orandnum`0`x`()->Integer`pRandomNumberSource``807927
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``807992
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``808060
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``808123
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``808179
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``808239
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->_$`cFinite``808301
orandom`0`x`()->_$`cIntegerNumberSystem``808363
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`808441
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``808520
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``808650
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``808734
orandom`1`x`(_$)->_$`cIntegerNumberSystem``808872
orandom`1`x`(_$)->_$`dInteger``808943
orandom`1`x`(_$)->_$`dNonNegativeInteger``809014
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``809085
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``809261
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``809369
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``809449
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``809568
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``809693
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``809818
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``809986
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``810118
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``810324
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``810578
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``810632
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``810705
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`810768
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`810831
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`810894
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``810957
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``811100
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``811216
orarrow`2`n`(_$,_$)->_$`dOutputForm``811332
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``811406
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``811544
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``811662
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``811801
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``811932
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``812254
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``812502
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``812824
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``813072
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``813200
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`813307
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``813374
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`813475
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`813591
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`813787
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`813907
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`813981
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``814055
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``814192
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``814329
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``814509
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`814687
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`814830
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)``814995
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`815114
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``815236
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`815341
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`815456
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`815681
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`815791
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`815903
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``816016
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``816098
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``816180
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`816263
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``816346
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``816444
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``816538
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)``816574
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`816683
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``816793
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`816881
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`817001
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`817212
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`817372
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`817489
oratpart`1`n`(_$)->F`dIntegrationResult(F)``817604
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``817681
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``817802
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``817849
oread!`1`x`(_$)->S`cFileCategory(Name,S)``817922
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``818086
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``818281
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``818476
oreadLine!`1`x`(_$)->String`dTextFile``818689
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``818783
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``819000
oreal?`1`n`(_$)->Boolean`dFortranScalarType``819091
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``819177
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``819242
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``819307
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``819536
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``819835
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``819991
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``820185
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``820304
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``820629
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``820722
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``821002
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``821104
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``821320
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``821432
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``822350
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``822481
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``822612
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``822773
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``822934
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``823130
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``823326
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``823555
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``823784
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``823878
oreal`1`x`(_$)->R`cComplexCategory(R)``823972
oreal`1`x`(_$)->R`cOctonionCategory(R)``824025
oreal`1`x`(_$)->R`cQuaternionCategory(R)``824088
orecip`0`n`()->_$`dMoebiusTransform(F)``824157
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``824261
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``824364
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``824401
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``824438
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`824482
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``824715
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``824917
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``825057
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``825171
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``825374
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``825466
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``825636
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``825734
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``825821
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``825885
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``825988
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``826113
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``826232
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``826303
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``826337
ored`0`x`()->_$`dColor``826372
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``826445
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)``826584
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)``826700
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``826862
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``826978
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``827121
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``827476
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)->_$`dModMonic(R,Rep)``827563
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``827601
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``827641
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`827770
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``827854
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``828007
oreduce`1`x`(_$)->_$`dAlgebraicNumber``828138
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`828267
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``828399
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``828441
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``828483
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`828525
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)``828941
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``829115
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``829496
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``829844
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``830186
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``830360
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``830497
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``830640
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``830976
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`831304
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``831737
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,SetCategory))`831961
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``832399
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``833133
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``833296
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``833411
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``833696
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``834014
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``834066
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``834318
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``834484
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(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))`xFullyLinearlyExplicitRingOver&(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))`xFullyLinearlyExplicitRingOver&(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))`cLinearlyExplicitRingOver(R)``834622
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``834787
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``834957
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``835067
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``835160
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``835345
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``835526
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``835566
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``835606
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``835715
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``835826
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``835993
oreductum`1`x`(_$)->_$`cMonoidRingCategory(R,M)`has(M,OrderedSet)`836117
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``836183
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``836307
oref`1`n`(S)->_$`dReference(S)``836477
orefine`1`n`(_$)->_$`dPlot3D``836552
orefine`1`n`(_$)->_$`dPlot``836590
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``836657
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``836740
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``837154
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``837198
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``837240
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``837282
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``837465
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``837648
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``837956
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``838264
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``839122
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``839402
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``839554
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``839728
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`840002
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``840114
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``840252
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``840393
orelerror`2`x`(_$,_$)->Integer`dFloat``840525
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``840643
orem`2`x`(_$,_$)->_$`cEuclideanDomain``840700
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``840812
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`840882
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``841262
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`841334
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``841492
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``841630
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`841836
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`841979
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``842065
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``842364
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`842615
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``842727
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``842904
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`843085
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``843168
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,SetCategory))`843270
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`843360
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`843739
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`844162
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``844565
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``845378
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``845744
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``846111
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``846244
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`846510
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``846928
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``847094
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``847439
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``847756
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``847933
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``848114
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``848328
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``848434
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``848540
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``848750
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``848960
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``849281
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``849845
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``850384
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``850498
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``850964
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``851008
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)``851337
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`851560
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``851813
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`852011
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``852240
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``852524
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``852760
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``852844
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``852922
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``853114
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``853258
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``853402
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``853546
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``853678
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``853881
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`853962
orepeating`1`x`(List(S))->_$`dStream(S)``854099
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSUPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``854183
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``854382
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``854510
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``854667
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``854817
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``854969
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(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``855138
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``855232
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``855351
oreseed`1`x`(Integer)->Void`pRandomNumberSource``855452
oresetBadValues`1`n`(_$)->_$`dPattern(R)``855526
oresetNew`0`x`()->Void`dSymbol``855686
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``855813
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``855937
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``856153
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``856373
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``856416
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``856538
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``856787
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dMagma(VarSet)``857040
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``857198
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``857262
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``857339
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``857535
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``857675
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``857818
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``858069
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``858208
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`858382
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`858569
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``858694
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`858804
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`858899
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`859154
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``859291
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(_$,"failed")`cFortranFunctionCategory``859456
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`859585
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``859927
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`860056
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``860398
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``860740
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``860784
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`860913
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``861255
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`861384
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``861726
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``861855
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``861984
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``862113
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``862242
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``862371
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``862500
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`862629
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``862971
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`863100
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(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`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``863442
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``863716
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``863845
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``863974
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``864103
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``864232
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``864361
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``864490
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``864656
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`864849
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`864997
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`865145
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`865293
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`865441
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`865589
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``865737
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))->_$`cFortranFunctionCategory``865887
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`866011
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``866340
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`866464
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``866793
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``867122
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`867246
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``867575
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`867699
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``868028
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``868152
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``868276
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``868400
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``868524
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``868648
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``868772
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`868896
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``869225
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`869349
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``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`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``869678
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``869939
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``870063
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``870187
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``870311
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``870435
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``870559
oretract`1`x`(Any)->S`pAnyFunctions1(S)``870683
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``870847
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`871027
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`871215
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`871403
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`871591
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`871779
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`871967
oretract`1`x`(_$)->S`cRetractableTo(S)``872155
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``872290
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``872396
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``872523
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``872618
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``872713
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``872809
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``872907
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``873031
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``873157
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``873289
oreturns`0`n`()->_$`dFortranCode``873377
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``873457
oreturns`1`n`(Expression(Float))->_$`dFortranCode``873560
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``873663
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``873766
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``873869
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``873972
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)``874075
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``874185
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`874358
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``874437
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``874633
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``874702
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``874921
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``875006
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``875184
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`875370
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``875774
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`876269
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``876641
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``877264
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``878346
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``878402
orhs`1`x`(_$)->S`dEquation(S)``878473
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`878548
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`878662
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`878776
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``878997
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`879164
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``879385
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``879552
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``879826
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``880100
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``880152
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``880377
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``880602
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``880762
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``881133
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``881504
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`881816
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`882024
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`882280
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`882390
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``882506
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``882562
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`882850
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`883090
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`883291
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``883527
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``883656
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`883756
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`883815
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``883874
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``884069
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`884264
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`884457
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``884555
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`884796
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``885037
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`885200
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``885422
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``885613
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``885787
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`885996
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``886190
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``886385
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``886673
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``886961
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``887175
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``887270
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``887447
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`887645
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``887772
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`887897
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`888023
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``888082
oright`1`n`(_$)->_$`dMagma(VarSet)``888240
oright`1`n`(_$)->_$`dOutputForm``888393
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``888462
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``888538
oright`2`n`(_$,Integer)->_$`dOutputForm``888586
orischDE`6`n`(Integer,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"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``888675
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)``889054
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``889390
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``889609
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``890262
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``890525
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``890862
ork4qc`14`x`(Vector(Float),Integer,Float,Record(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``891368
ork4qc`7`x`(Vector(Float),Integer,Float,Record(try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``891881
oroman`1`x`(Integer)->_$`dRomanNumeral``892359
oroman`1`x`(Symbol)->_$`dRomanNumeral``892420
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``892488
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``893188
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``893882
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``893919
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`894016
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``894087
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``894294
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``894544
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``894668
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``894736
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``894860
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``894976
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``895096
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``895212
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``895310
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``895425
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``895553
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`895726
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`895882
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``896111
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``896326
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`896451
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``896678
oroot`1`n`(_$)->_$`dOutputForm``896905
oroot`2`n`(_$,_$)->_$`dOutputForm``896980
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``897063
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``897193
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``897451
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``897653
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``897916
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``898184
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``898452
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``898646
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``898887
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``899247
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``899345
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``899443
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`899541
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``899729
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)`899861
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)`900105
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`900375
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``900531
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``900595
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``900762
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``900869
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``901059
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``901192
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`901273
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`901354
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`901435
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``901516
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``901809
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``901934
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``902052
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``902137
orquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``902332
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``902517
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``902632
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``902716
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``902800
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``902897
orspace`2`n`(Integer,Integer)->_$`dOutputForm``902992
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``903087
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``903277
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``905906
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``906051
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``906441
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``906505
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``906589
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``906653
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``907794
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``908277
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``908431
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`908464
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`908599
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`908750
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`908905
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``909104
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``909171
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`x`()->_$`cAbelianMonoid``909325
osample`0`x`()->_$`cAggregate``909372
osample`0`x`()->_$`cMonoid``909419
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``909466
osample`0`x`()->_$`dSymbol``909519
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``909565
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``909677
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``909818
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``910052
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``910199
osave`0`n`()->_$`dFortranCode``910366
osayLength`1`x`(List(String))->Integer`pDisplayPackage``910433
osayLength`1`x`(String)->Integer`pDisplayPackage``910524
osay`1`x`(List(String))->Void`pDisplayPackage``910606
osay`1`x`(String)->Void`pDisplayPackage``910671
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``910727
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``910857
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``910991
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``911063
oscale`1`n`(F)->_$`dMoebiusTransform(F)``911166
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``911271
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``911371
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``911488
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`911805
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``912494
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``912731
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``913136
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``913452
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``913762
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``913999
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``914308
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``914617
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``914800
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``914939
oscreenResolution3D`0`n`()->Integer`dPlot3D``915197
oscreenResolution`0`n`()->Integer`dPlot``915278
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``915341
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``915414
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``915488
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``915833
oscripted?`1`x`(_$)->Boolean`dSymbol``916030
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``916112
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``916174
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``916312
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``916371
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``916593
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``916691
osec`1`n`(F)->F`pElementaryFunction(R,F)``916778
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)``916839
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``916906
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``916973
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``917041
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``917111
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``917164
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``917266
osech`1`n`(F)->F`pElementaryFunction(R,F)``917355
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)``917428
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``917511
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``917594
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``917674
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``917756
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``917821
oseed`0`x`()->Integer`pRandomNumberSource``917941
osegment`1`x`(S)->_$`dUniversalSegment(S)``917994
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``918076
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``918280
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(_$,finiteAggregate)`918364
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``918525
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``918655
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``918967
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``919277
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``919543
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`919641
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``919885
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``920069
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``920135
oselectfirst`1`n`(_$)->A`dProduct(A,B)``920273
oselectsecond`1`n`(_$)->B`dProduct(A,B)``920316
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``920360
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``920623
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``920839
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``921126
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``921383
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``921552
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``921770
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`921949
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``922144
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``922424
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``922767
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``922870
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``922995
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``923147
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``923313
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`923497
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``923537
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`923703
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``923840
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``924048
oseriesSolve`2`n`((UTSSUPF)->UTSSUPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSUPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSUPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``924413
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``924660
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``924770
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``925193
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``925314
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``925433
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``925578
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``925999
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``926207
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``926435
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``926630
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``926734
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``927164
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``927363
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``927544
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``927641
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``927840
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``928039
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``928100
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``928185
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``928290
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``928532
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``928844
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``929035
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``929198
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``929281
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``929519
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``929702
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``929936
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``930055
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``930168
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``930291
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``930465
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``930551
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`930713
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``930886
osetEpilogue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``930963
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``931079
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``931187
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``931483
osetFormula!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``931673
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``931787
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`931938
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``932119
osetLegalFortranSourceExtensions`1`n`(List(String))->List(String)`pFortranPackage``932203
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``932268
osetMaxPoints`1`n`(Integer)->Integer`dPlot``932357
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``932443
osetMinPoints`1`n`(Integer)->Integer`dPlot``932532
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``932618
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``932787
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``933150
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``933588
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``933627
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``933706
osetPrologue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``933824
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``933940
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``934048
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``934214
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``934409
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``934555
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``934635
osetScreenResolution`1`n`(Integer)->Integer`dPlot``934729
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``934805
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``934961
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``935316
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``935414
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`935549
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``935719
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``935873
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``936012
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``936198
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``936277
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`936393
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``936527
osetelt`2`n`(_$,S)->S`dReference(S)``936673
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`936755
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`936908
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`937058
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`937195
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`937345
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`937492
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`937631
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``937824
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``937995
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`938122
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``938520
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``938698
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`939030
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`939119
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``939213
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`939328
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`939407
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`939541
osetref`2`n`(_$,S)->S`dReference(S)``939683
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`939741
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``939827
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`939951
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``940031
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`940253
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`940329
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`940408
oshade`1`n`(Point(R))->R`pPointPackage(R)``940537
oshade`1`x`(_$)->Integer`dPalette``940866
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``940948
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``940991
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``941038
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``941316
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber))),exprStream:(Expression(Integer),Sym--bol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->SparseUnivariatePolynomial(AlgebraicNumber),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber))),exprStream:(Expression(In--teger),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->SparseUnivariatePolynomial(AlgebraicNumber),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,Retra--ctableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonN--egativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``941441
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbo--l,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer)))),exprStream:(Expression(Inte--ger),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->SparseUnivariatePolynomial(Fraction(Integer)),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Pol--ynomial(Integer))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->SparseUnivariatePolynomial(Fraction(Polynomial(Integer))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegati--veInteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R))))),exp--rStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->SparseUnivariatePolynomial(Fraction(Polynomial(R))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomia--l(R)``0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeIn--teger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`941550
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,--qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer)))),exprStream:(Expre--ssion(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->SparseUnivariatePolynomial(Fraction(Integer)),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbo--l)),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fr--action(Polynomial(Integer))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->SparseUnivariatePolynomial(Fraction(Polynomial(Integer))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(--R))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->SparseUnivariatePolynomial(Fraction(Polynomial(R))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGues--sPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftInfoRec`3`n`(BasicOperator,Symbol,F)->Record(max:Union(Integer,"failed"),ord:Union(Integer,"failed"),ker:Kernel(F))`pRecurrenceOperator(R,F)`has(R,Ring)`0
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``941737
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``941803
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``941892
oshift`1`n`(F)->_$`dMoebiusTransform(F)``942008
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``942113
oshift`2`x`(_$,Integer)->_$`dFloat``942213
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``942289
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``942349
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`942411
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`942510
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``942604
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``942738
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``942992
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``943064
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``943308
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``943444
oshowTypeInOutput`1`x`(Boolean)->String`dAny``943513
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``943786
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``944037
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``944157
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``944368
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``944518
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``944568
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``944618
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``944672
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``944708
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``944789
osign`1`x`(_$)->Integer`cOrderedRing``944869
osign`1`x`(_$)->Integer`dPermutation(S)``944984
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``945080
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``945172
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``945302
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``945437
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``945599
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``945825
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``945942
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`946153
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`946212
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``946516
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``946580
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``947058
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``947748
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``948442
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``948540
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``948625
osin`1`n`(E)->_$`dFourierComponent(E)``948712
osin`1`n`(F)->F`pElementaryFunction(R,F)``948778
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``948837
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``948902
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``948967
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``949033
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``949101
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``949168
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``949219
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``949321
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``949806
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``950398
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``950588
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``950843
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``950910
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``950980
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``951061
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``951163
osinh`1`n`(F)->F`pElementaryFunction(R,F)``951252
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``951323
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``951404
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``951485
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``951563
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``951643
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``951712
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``951775
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``951890
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``951966
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``952120
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``952300
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``952480
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``952660
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``952763
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``952859
osize`0`x`()->NonNegativeInteger`cFinite``952923
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``952987
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``953054
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``953121
osize`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``953193
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``953260
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``953429
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``953471
oslash`2`n`(_$,_$)->_$`dOutputForm``953661
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``953758
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``953952
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``954038
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``954115
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``954213
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``954261
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``954299
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``954340
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``954611
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``954761
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)``954908
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``955329
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``955578
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``955999
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``956420
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``956685
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``957010
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``957275
osolveLinear`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`957540
osolveLinear`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`957743
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`957924
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`958127
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``958308
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``958501
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``958694
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``958949
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``959129
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``959166
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``959376
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``959506
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``959705
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``959842
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``959995
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``960135
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``960312
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``960435
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``960557
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``960741
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``960952
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``961065
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``961245
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``961466
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``961604
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``961745
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``961956
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``962109
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``962330
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``962470
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``962678
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``962825
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``962972
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``963180
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``963388
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``963507
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)``963654
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``964076
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``964878
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``965633
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``966208
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``966628
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``967048
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``967372
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``967625
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``967916
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``968207
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``968452
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``968634
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,shallowlyMutable),has(S,OrderedSet))`968696
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(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,_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`968774
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``968857
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`969141
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``969276
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``969378
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`969661
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(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,_$)->Boolean`cFiniteLinearAggregate(S)``969744
ospace`0`x`()->_$`dCharacter``969835
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``969887
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``970087
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``970198
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``970264
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`970530
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``970797
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``970924
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``971109
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``971294
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``971444
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``971598
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``971812
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``972123
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``972451
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``972787
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``972976
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``973165
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``973256
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`973522
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`974335
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``974495
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``974655
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``974744
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``974839
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``974993
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)``975072
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``975141
osqrt`1`x`(Integer)->_$`cRealClosedField``975199
osqrt`1`x`(_$)->_$`cRadicalCategory``975257
osqrt`1`x`(_$)->_$`cRealClosedField``975397
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``975455
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``975579
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``975648
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``975823
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`975998
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``976115
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``976536
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)`976707
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``976843
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``976956
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``977478
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`977593
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``977647
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``977766
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``977852
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``977958
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``978136
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(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``978326
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``978579
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``978753
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`979096
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``979190
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``979375
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``979494
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``979667
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``979801
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``979935
ostack`1`x`(List(S))->_$`dStack(S)``980068
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`980219
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``980902
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``981356
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``981490
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``981616
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``981742
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)``981868
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatistics`0`n`()->Void`pUnittestCount``981997
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``982139
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``982212
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``982354
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``982456
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``982560
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``982833
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``983127
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``983219
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``983311
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``983403
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``983498
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``983565
ostring`1`n`(_$)->_$`dOutputForm``983654
ostring`1`x`(Integer)->_$`cStringCategory``983715
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``983798
ostring`1`x`(_$)->String`dSymbol``983935
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``984038
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``984181
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``984266
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``984587
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``984770
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``984923
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``985178
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``985433
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``985724
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``985998
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``986440
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``986882
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``986932
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`987013
ostyle`1`x`(String)->_$`dDrawOption``987166
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``987342
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``987546
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``987660
osubHeight`1`n`(_$)->Integer`dOutputForm``987774
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``987858
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``988065
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``988259
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``988488
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``988618
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``988748
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``988905
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``989062
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``989220
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`989394
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``989606
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``989871
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`990015
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`990395
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`990542
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``990701
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``991042
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``991154
osub`2`n`(_$,_$)->_$`dOutputForm``991266
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``991344
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``991426
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``991543
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``991737
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``991839
osubspace`0`n`()->_$`dSubSpace(n,R)``992039
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``992078
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``992216
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``992400
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber))),exprStream:(Expression(Integer),Sym--bol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(AlgebraicNumber)))->SparseUnivariatePolynomial(AlgebraicNumber),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonN--egativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``992612
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbo--l,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(F)))->SparseUnivariatePolynomial(F),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer)))),exprStream:(Expression(Inte--ger),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Integer))))->SparseUnivariatePolynomial(Fraction(Integer)),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Pol--ynomial(Integer))))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->SparseUnivariatePolynomial(Fraction(Polynomial(Integer))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegati--veInteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->Vector(UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R))))),exp--rStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseUnivariatePolynomial(Fraction(Polynomial(R)))))->SparseUnivariatePolynomial(Fraction(Polynomial(R))),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomia--l(R)``0
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``992728
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``992823
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`992977
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`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``993109
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``993269
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``993378
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``993570
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``993696
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``993818
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``993977
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``994085
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``994256
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``994329
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``994464
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``994602
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``994745
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``995094
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``995288
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``995546
osum`1`n`(_$)->_$`dOutputForm``995780
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``995863
osum`2`n`(_$,_$)->_$`dOutputForm``996045
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``996166
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``996273
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``996375
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``996452
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``996634
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``996711
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``996893
osum`3`n`(_$,_$,_$)->_$`dOutputForm``996972
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``997133
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``997239
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``997395
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``997501
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``997657
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``997894
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``998131
osup`1`x`(_$)->R`cIntervalCategory(R)``998331
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``998394
osuperHeight`1`n`(_$)->Integer`dOutputForm``998502
osuper`2`n`(_$,_$)->_$`dOutputForm``998588
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``998670
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``998776
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``998909
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``998996
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`999129
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``999260
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``999400
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``999534
oswap`1`x`(_$)->_$`dEquation(S)``999602
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``999686
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``999799
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``999946
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1000143
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1000274
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1000330
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1000419
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1000535
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1000609
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1000692
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1000829
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1001029
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1001229
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1001663
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1001935
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1002136
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1002323
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1002549
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1002756
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1003002
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1003111
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1003215
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1003787
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1004326
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1004544
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1004634
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1004723
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1004882
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1004915
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1004987
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1005193
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1005498
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1005808
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1005881
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1006004
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``1006079
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1006207
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1006343
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1006523
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1006621
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1006725
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1006833
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1006920
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1007030
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1007111
otan`1`n`(F)->F`pElementaryFunction(R,F)``1007279
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1007341
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1007409
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1007477
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1007546
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1007617
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1007684
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1007738
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1007840
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1007949
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1008038
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1008112
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1008196
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1008280
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1008361
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1008444
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1008513
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1008579
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1008798
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1008954
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1009049
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1009167
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1009348
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1009416
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1009557
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1009642
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1009754
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1009996
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1010175
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1010341
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1010424
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1010601
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1010777
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1011145
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1011244
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1011636
oterms`1`x`(_$)->List(Record(coef:R,monom:M))`cMonoidRingCategory(R,M)``1011920
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1012080
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1012169
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1012351
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1012531
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1012764
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1012986
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1013102
otestEquals`2`n`(String,String)->Void`pUnittest``1013393
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1013669
otestLibraryError`1`n`(String)->Void`pUnittest``1013789
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1013908
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1014111
otestNotEquals`2`n`(String,String)->Void`pUnittest``1014224
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1014323
otestRealEquals`2`n`(String,String)->Void`pUnittest``1014553
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1014769
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1014949
otestTrue`1`n`(String)->Void`pUnittest``1015024
otest`1`x`(_$)->Boolean`dBoolean``1015088
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1015184
otestcase`1`n`(String)->Void`pUnittestCount``1015343
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1015488
otestsuite`1`n`(String)->Void`pUnittestCount``1015651
otex`1`x`(_$)->List(String)`dTexFormat``1015803
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1015873
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1016149
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1016272
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1016473
otitle`1`x`(String)->_$`dDrawOption``1016594
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1016736
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1016940
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1017096
otoScale`1`x`(Boolean)->_$`dDrawOption``1017256
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1017486
otop!`1`x`(_$)->S`cDequeueAggregate(S)``1017694
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1017771
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1017861
otop`1`x`(_$)->S`cStackAggregate(S)``1018059
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1018237
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1018546
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1018586
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1018626
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1018671
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1018715
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1018869
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1019023
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1019181
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1019345
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1019492
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`x`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1019596
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1019739
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1019843
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1020106
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1020288
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1020519
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1020555
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1020660
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1020818
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1020987
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1021156
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1021270
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1021391
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1021535
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1021645
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1021782
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1021881
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1022174
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1022222
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1022350
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1022474
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1022512
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1022622
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1022846
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1023316
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1023389
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1023459
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1023532
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1023785
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1024081
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1024789
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1025491
otree`1`x`(List(S))->_$`dTree(S)``1025837
otree`1`x`(S)->_$`dTree(S)``1025912
otree`2`x`(S,List(_$))->_$`dTree(S)``1025990
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1026081
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1026170
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1026259
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1027336
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1027554
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1027909
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1028273
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``1028443
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1028819
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1028948
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1029077
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1029255
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1029444
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1029562
otrue`0`x`()->_$`dBoolean``1029641
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1029683
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1029802
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1029890
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1029979
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1030111
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1030272
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1030422
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1030546
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1030692
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1030886
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1031160
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1031424
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1031792
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1032157
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1032295
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1032439
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1032656
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1032870
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1032948
otubeRadius`1`x`(Float)->_$`dDrawOption``1033039
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1033185
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1033399
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1033490
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1033804
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1033904
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1034223
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1034320
ounary?`1`x`(_$)->Boolean`dBasicOperator``1034407
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1034461
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1034512
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1034747
ouniform01`0`n`()->Float`pRandomFloatDistributions``1034809
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1034849
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1034888
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1034927
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1034970
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1035056
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1035126
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1035325
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1035524
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``1035653
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``1035745
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)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``1035816
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1036128
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1036329
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1036371
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1036516
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1036610
ounit`1`x`(List(Float))->_$`dDrawOption``1036722
ounit`1`x`(_$)->R`dFactored(R)``1036875
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1036942
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1037038
ounits`1`n`(_$)->List(Float)`dGraphImage``1037156
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1037341
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1037544
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1037844
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1038096
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1038361
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1038475
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1038633
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1038791
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1039003
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1039276
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039449
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039555
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039728
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039842
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039966
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1040768
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1041035
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1041139
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1041243
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1041413
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1041508
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1041714
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1041860
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1041914
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1041953
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1042049
ounparse`1`n`(_$)->String`dInputForm``1042208
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1042373
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1042824
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1043337
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1043926
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1044049
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``1044178
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1044306
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,VarSet,Dpol)``1044540
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1044575
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1044610
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1044737
oupperCase!`1`x`(_$)->_$`cStringAggregate``1044919
oupperCase?`1`x`(_$)->Boolean`dCharacter``1045034
oupperCase`0`x`()->_$`dCharacterClass``1045145
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1045269
oupperCase`1`x`(_$)->_$`dCharacter``1045350
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1045519
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1045648
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1045845
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1045978
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1046185
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1046357
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1046577
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1046712
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1046788
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1046949
ovalue`1`x`(_$)->Integer`dOrdSetInts``1047020
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1047088
ovalue`1`x`(_$)->String`dQueryEquation``1047151
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1047249
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1047517
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1047776
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1047944
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1048156
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1048424
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1048683
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1048852
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1049064
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1049132
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1049216
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1049307
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1049398
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1049502
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1049593
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1049674
ovariableName`1`x`(Symbol)->_$`dGuessOption``1049807
ovariable`0`n`()->Symbol`dVariable(sym)``1049971
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1050015
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1050088
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1050205
ovariable`1`x`(_$)->Symbol`dQueryEquation``1050304
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1050407
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1050610
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``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)``1050726
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1050825
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1050900
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1050989
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1051105
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1051183
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``1051281
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1051391
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1051542
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1051907
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1052036
ovconcat`1`n`(List(_$))->_$`dOutputForm``1052128
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1052205
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1052287
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1052507
ovector`1`x`(List(R))->_$`dVector(R)``1052735
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1052799
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``1053006
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1053236
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1053307
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1053427
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1053584
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1053702
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1053857
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1053951
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1054086
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1054294
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1054526
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1054605
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1054712
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1054809
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1054947
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1055070
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1055202
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1055368
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1055449
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1055561
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1055827
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1056196
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1056420
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1056679
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1057033
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1057436
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1057941
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1058446
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1058593
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1058744
ovoid`0`x`()->_$`dVoid``1058786
ovspace`1`n`(Integer)->_$`dOutputForm``1058831
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1058895
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1059074
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1059350
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1059482
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1059553
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1059620
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1059693
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1059932
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1059972
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1060096
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1060331
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1060466
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1060530
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1060594
owholePart`1`x`(_$)->R`dPartialFraction(R)``1060797
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1060882
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1061035
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1061192
owidth`0`n`()->Integer`dOutputForm``1061283
owidth`1`n`(_$)->Integer`dOutputForm``1061357
owidth`1`x`(_$)->R`cIntervalCategory(R)``1061429
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1061499
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1061668
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1061874
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1062090
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1062312
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1062478
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1062591
owriteLine!`1`x`(_$)->String`dTextFile``1062769
owriteLine!`2`x`(_$,String)->String`dTextFile``1062948
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1063110
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1063348
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1063589
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1063892
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1064169
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1064475
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1064755
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1064897
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)``1065049
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1065171
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1065425
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1065532
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1065639
oxor`2`x`(_$,_$)->_$`cBitAggregate``1065696
oxor`2`x`(_$,_$)->_$`dBoolean``1065810
oxor`2`x`(_$,_$)->_$`dSingleInteger``1065908
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1066020
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1066275
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1066398
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1066505
oyellow`0`x`()->_$`dColor``1066612
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1066691
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1066816
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1066953
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1067224
ozag`2`n`(_$,_$)->_$`dOutputForm``1067331
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1067431
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1067487
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1067561
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1067660
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1067877
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1068047
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1068134
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1068219
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1068412
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1068598
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1068670
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1068768
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1068890
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1069121
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1069296
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1069527
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1069735
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1069952
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1070323
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1070551
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1070934
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1071329
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1071484
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1072000
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1072513
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1072846
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1073223
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1073369
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1073515
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1073569
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1073617
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1073681
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1073752
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1074116
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1074424
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1074729
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1075070
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1075411
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1075451
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1075611
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1075655
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1075703
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1075997
o~=`2`x`(_$,_$)->Boolean`cBasicType``1076053
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(_$)->_$`cLogic``1076118
o~`1`x`(_$)->_$`dSingleInteger``1076181
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1076273
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1076369
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1076453
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1076527
pAlgebraicIntegrate`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)`INTALG`1076562
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1076651
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1076765
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1076880
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1077091
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1077301
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1077388
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1077516
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1077640
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1077758
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1077827
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`1077964
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1078080
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1078194
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1078806
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1078885
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1078992
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1079056
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1079153
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1079258
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1079704
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1079793
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1079858
pCommonOperators`0`n`()->etc``COMMONOP`1080022
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1080228
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1080344
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1080576
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1080673
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1080799
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1080876
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1080948
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1081732
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1081866
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1081954
pCycleIndicators`0`x`()->etc``CYCLES`1082212
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1082249
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1082317
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1082353
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1082494
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1082530
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1083263
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1083581
pDisplayPackage`0`x`()->etc``DISPLAY`1083701
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1083806
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1084099
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1084200
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1084303
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1084721
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1084757
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1084793
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1085147
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1085277
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1085457
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1085629
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1085744
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1086037
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1086099
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1086262
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1086468
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1086676
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1086774
pErrorFunctions`0`x`()->etc``ERROR`1086850
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1088833
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1089708
pExpressionFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`EXPR2`1089881
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseUnivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSUPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1089977
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1090158
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1090452
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1090509
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1090633
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1090723
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1090935
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1091240
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1091353
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1091627
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1091684
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`1091846
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1091991
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`1092078
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1092205
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1092381
pFiniteFieldPolynomialPackage2`2`x`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1092622
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1092898
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1093065
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1093166
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1093478
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1093567
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1093871
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1094230
pFortranCodePackage1`0`n`()->etc``FCPAK1`1094550
pFortranOutputStackPackage`0`n`()->etc``FOP`1095174
pFortranPackage`0`n`()->etc``FORT`1095221
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1095287
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1095396
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1095644
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`1095805
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1095988
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:OrderedSet,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1096255
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`1096301
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1096361
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1096764
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1096882
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1097000
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1097129
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1097291
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1097410
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1097518
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1097723
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1097770
pFunctionSpaceToUnivariatePowerSeries`6`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,x)`FS2UPS`1097861
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1098286
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1098474
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1098538
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1098646
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1098727
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1098933
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1099007
pGcdBasis`1`n`(Join(GcdDomain,etc))->etc`(R)`GCDBAS`1099077
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1099222
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1099802
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1100021
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1100159
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1100242
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1100405
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1100554
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`1100928
pGraphicsDefaults`0`x`()->etc``GRDEF`1100972
pGrayCode`0`n`()->etc``GRAY`1101066
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1101207
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1102262
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1102416
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1103471
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1103749
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1103821
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1103904
pGuessInteger`0`x`()->etc``GUESSINT`1103983
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1104053
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1104134
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1104224
pGuess`5`x`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1104296
pHallBasis`0`x`()->etc``HB`1104463
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1105037
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1105199
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1105509
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1105583
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1105703
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1105810
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1105914
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1105976
pInfinity`0`x`()->etc``INFINITY`1106038
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1106149
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1106289
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1106458
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`1106618
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerModularHermitePade`0`n`()->etc``IMODHP`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1106882
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1107152
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1107299
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1107470
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1108070
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1108135
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1108176
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1108360
pIntegerBits`0`n`()->etc``INTBIT`1108403
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1108469
pIntegerLinearDependence`1`x`(LinearlyExplicitRingOver(Integer))->etc`(R)`ZLINDEP`1108848
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1108901
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1108982
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1109189
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1109304
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1109429
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1109611
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1109777
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1109894
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1110060
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1110367
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1110569
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1110748
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(EuclideanDomain,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1110821
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1111371
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1111431
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1112008
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1112152
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1112216
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1112375
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`1112435
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1113307
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1113690
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1114556
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitRingOver(S))->etc`(S,R)`LINDEP`1114884
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1114919
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1115090
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1115224
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1115480
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`1115773
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1115848
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1115942
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1116018
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1116166
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1116316
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`1116733
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`1116866
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1116900
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1117285
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1117676
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1117912
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1117973
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1118201
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1118265
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1118401
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1118462
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1118498
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1118534
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1118570
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1118606
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1118642
pMatrixCategoryFunctions2`8`x`(R1:Ring,Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Ring,Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1118678
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1118831
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1118984
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1119091
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1119143
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1119310
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1119540
pModularHermitePade`0`n`()->etc``MODHP`0
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1119633
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1119810
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1119942
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1119989
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1120256
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1120337
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`1120623
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1120680
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1120843
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1121109
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1121502
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`0
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1121779
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1122104
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1122238
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1122549
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1122702
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1122935
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1123108
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1123224
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`1123258
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1124026
pNumberFormats`0`n`()->etc``NUMFMT`1124273
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1124425
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1124490
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1124761
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1124899
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1125133
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1125345
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1125445
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1130179
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1133592
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1133758
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1133823
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1134003
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1134161
pOpenMathPackage`0`x`()->etc``OMPKG`1134265
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1134371
pOperationsQuery`0`x`()->etc``OPQUERY`1134739
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1134821
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1134923
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1135052
pOutputPackage`0`x`()->etc``OUT`1135128
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1135184
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1135733
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1136099
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1136456
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1136524
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1136564
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1136598
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1136632
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1136666
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1136944
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1137108
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1137135
pPatternMatchAssertions`0`x`()->etc``PMASS`1137166
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1137284
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1137360
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1137429
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1137624
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1137692
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`1137758
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1137830
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1137907
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1137977
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1138024
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1138092
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1138152
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1138223
pPermutationGroupExamples`0`x`()->etc``PGE`1138319
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1138724
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1138915
pPlotTools`0`n`()->etc``PLOTTOOL`1139068
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1139111
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1139145
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1139179
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1139280
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`1139410
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1139511
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1139592
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1140312
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Ring,P:PolynomialCategory(R,E,Vars),S:Join(SetCategory,etc))->etc`(E,Vars,R,P,S)`POLYLIFT`1140432
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`1140728
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1140851
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1140885
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1140919
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1141212
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1141427
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`0
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1141570
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1141623
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1141676
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`1141770
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1141845
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1142134
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1142373
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1142803
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1143035
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1143280
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1143457
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1143609
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1143707
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1143937
pPrintPackage`0`x`()->etc``PRINT`1144002
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1144066
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1144182
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1145231
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`1145400
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1145493
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1145529
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`1146783
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1147522
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1147719
pRadicalEigenPackage`0`x`()->etc``REP`1147827
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1148108
pRadixUtilities`0`x`()->etc``RADUTIL`1148280
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1148346
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1148395
pRandomNumberSource`0`x`()->etc``RANDSRC`1148445
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1148636
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1148762
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1148883
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1149169
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1149251
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1149304
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1149376
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1149420
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1149517
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1149598
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1149660
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1149810
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1149924
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1149988
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1150424
pRealSolvePackage`0`n`()->etc``REALSOLV`1150525
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1150642
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1150947
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Ring,Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Ring,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`1151251
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1151425
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`1151607
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`1151708
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1151857
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`1152007
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`1153511
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1154291
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1154345
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1154399
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1154914
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1155483
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1155581
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1155732
pScriptFormulaFormat1`1`x`(SetCategory)->etc`(S)`FORMULA1`1155866
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1156031
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1156133
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1156210
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1156356
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1156463
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1156569
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1156617
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1157179
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1157504
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`1157619
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`1158462
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`1159885
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1160777
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1161076
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1161137
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1161199
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1161263
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1161442
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1161587
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1161792
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1161955
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1162142
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1162304
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1162574
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1162778
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1162845
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1163051
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1163175
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1163374
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1163812
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSUPF:UnivariateTaylorSeriesCategory(SparseUnivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSUPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1163865
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1163930
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1164074
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1164119
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1164238
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1164353
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1164481
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1164576
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1164650
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1165204
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1166050
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1166101
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1166192
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1166317
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1166486
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1166642
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1167117
pTubePlotTools`0`n`()->etc``TUBETOOL`1167268
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1167344
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1167457
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1167624
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1167965
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1168094
pUnittestCount`0`n`()->etc``TESTCNT`1168234
pUnittest`0`n`()->etc``TESTUNIT`1168515
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1168741
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`1168918
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1169095
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1169238
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1169430
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1169615
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1169761
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1170104
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1170395
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1171070
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1171220
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1171348
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1171524
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1171675
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1171752
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1171818
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1172051
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1172356
pViewportPackage`0`n`()->etc``VIEW`1172444
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1172570
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1173151
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1173513
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1173690
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1175014
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1175142
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1175263
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1175841
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1175994
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1176514
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1176607
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1176653
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1176708
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1176765
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1176993
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1177111
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1177251
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1177466
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1177565
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1178001
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1178088
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1178408
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1178538
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1178666
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1179992
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1180104
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1182486
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1182543
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1182712
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1182758
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1183119
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1183509
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1183666
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1183743
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1184150
xField&`1`n`(Field)->etc`(S)`FIELD-`1184238
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1184460
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1184702
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1184932
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1185103
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-`1186627
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1186857
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1186917
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1187161
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1187283
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1187434
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1187637
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1188671
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1188784
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1189062
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1189184
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1189415
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1189864
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1189947
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1190026
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1190333
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1190687
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1191237
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1191349
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1191888
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1191948
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1192207
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1192532
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1192598
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1192927
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1193036
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1193350
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1193415
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1193633
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1194262
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1194528
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1194716
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1194812
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1195428
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1195495
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1195601
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1196063
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1196173
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1196299
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1196407
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1196603
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1196749
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1197106
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1197328
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1198135
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1198269
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1198588
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1198694
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1198864
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-`1199167
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1199781
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1199906
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1200044
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1200136
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1200207
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1200302
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1200597
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1200708
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1200937
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1201389
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-`1201868
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1204772
xRing&`1`n`(Ring)->etc`(S)`RING-`1204947
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1205045
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1205175
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1205501
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Ring,Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1205773
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1206029
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1206400
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1206504
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1206625
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-`1206686
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1208124
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1208173
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1208728
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1209266
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1209439
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1209734
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1209882
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1210229
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1210528
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1210911
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1211010
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1211430
