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cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`53560
cStepThrough`0`x`()->Category``STEP`53641
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`54199
cStringAggregate`0`x`()->Category``SRAGG`54569
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`54672
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`54792
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`54984
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`55044
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`56464
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`56512
cType`0`x`()->Category``TYPE`57065
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`57093
cUnionType`0`n`()->Category``UTYPE`57629
cUniqueFactorizationDomain`0`x`()->Category``UFD`57944
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`58116
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`58216
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`58509
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`58656
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`59002
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`59102
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`59398
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`59780
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`59878
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`60297
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`60368
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`60620
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`60726
dAddAst`0`x`()->Join(SpadSyntaxCategory,etc)``ADDAST`60890
dAlgebraGivenByStructuralConstants`4`x`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`60953
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`61408
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`61476
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`61547
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`61596
dAny`0`x`()->Join(SetCategory,etc)``ANY`61643
dArity`0`x`()->Join(SetCategory,etc)``ARITY`62199
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`62494
dAsp10`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP10`62541
dAsp12`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP12`62961
dAsp19`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP19`63386
dAsp1`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP1`68507
dAsp20`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP20`68854
dAsp24`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP24`69352
dAsp27`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP27`70001
dAsp28`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP28`71074
dAsp29`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP29`79906
dAsp30`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP30`80281
dAsp31`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP31`81359
dAsp33`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP33`81935
dAsp34`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP34`82216
dAsp35`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP35`82876
dAsp41`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP41`83613
dAsp42`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP42`84710
dAsp49`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP49`85977
dAsp4`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP4`86714
dAsp50`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP50`87146
dAsp55`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP55`89072
dAsp6`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP6`90297
dAsp73`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP73`91397
dAsp74`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP74`91842
dAsp77`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP77`92466
dAsp78`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP78`92814
dAsp7`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP7`93080
dAsp80`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP80`93633
dAsp8`1`x`(Symbol)->FortranVectorCategory`(name)`ASP8`94003
dAsp9`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP9`94921
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`95561
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`96786
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`97840
dAttributeAst`0`x`()->Join(SpadSyntaxCategory,etc)``ATTRAST`98147
dAttributeButtons`0`x`()->Join(SetCategory,etc)``ATTRBUT`98243
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`99288
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`99374
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`99723
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`99936
dBasicFunctions`0`x`()->Join(SetCategory,etc)``BFUNCT`0
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`100142
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`100276
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`100366
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`100646
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`100937
dBinding`0`x`()->Join(CoercibleTo(OutputForm),etc)``BINDING`101163
dBits`0`x`()->Join(BitAggregate,etc)``BITS`101347
dBoolean`0`x`()->Join(OrderedFinite,etc)``BOOLEAN`101414
dByteBuffer`0`x`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`101521
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`102286
dByte`0`x`()->Join(OrderedFinite,etc)``BYTE`102360
dCapsuleAst`0`x`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`102427
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`102492
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`103897
dCaseAst`0`x`()->Join(SpadSyntaxCategory,etc)``CASEAST`104143
dCategoryAst`0`x`()->Join(SpadSyntaxCategory,etc)``CATAST`104193
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`104298
dCategory`0`x`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`104368
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`104458
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`104516
dCoerceAst`0`x`()->Join(SpadSyntaxCategory,etc)``CRCEAST`105207
dCollectAst`0`x`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`105258
dColonAst`0`x`()->Join(SpadSyntaxCategory,etc)``COLONAST`105314
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`105409
dCommaAst`0`x`()->Join(SpadSyntaxCategory,etc)``COMMAAST`105519
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`105615
dCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`105650
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`105697
dConstructAst`0`x`()->Join(SpadSyntaxCategory,etc)``LSTAST`105903
dConstructorCall`1`x`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`105959
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`106118
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`106179
dContour`0`x`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`106770
dDataArray`2`x`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`106948
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`107018
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`107074
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`107181
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`107445
dDefinitionAst`0`x`()->Join(SpadSyntaxCategory,etc)``DEFAST`107536
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`107593
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`107880
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`107926
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`108192
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`108278
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`108377
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`108986
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`109349
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`109418
dDomain`0`x`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`109504
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`111444
dDualBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`111538
dElaboratedExpression`0`x`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`111738
dElaboration`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABOR`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`111814
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`112233
dEnumeration`1`x`special`(a,b,...,c)`ENUM`112652
dEnvironment`0`x`()->Join(CoercibleTo(OutputForm),etc)``ENV`112807
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`112961
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`113126
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`113366
dExitAst`0`x`()->Join(SpadSyntaxCategory,etc)``EXITAST`113566
dExit`0`x`()->SetCategory``EXIT`113613
dExponentialExpansion`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`113900
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`114193
dExpression`1`x`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`114974
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`115022
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`115864
dFileName`0`x`()->FileNameCategory``FNAME`116702
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`116771
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`116905
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`117120
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`117720
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`118350
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`119006
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`119273
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`119565
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`120075
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`120582
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`121078
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`121270
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`122278
dFortranCode`0`x`()->Join(SetCategory,etc)``FC`126049
dFortranExpression`3`x`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`126155
dFortranProgram`4`x`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`126314
dFortranScalarType`0`x`()->Join(CoercibleTo(OutputForm),etc)``FST`126485
dFortranTemplate`0`x`()->Join(FileCategory(FileName,String),etc)``FTEM`126625
dFortranType`0`x`()->Join(SetCategory,etc)``FT`126668
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`126776
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`126985
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`127181
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`127435
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`127480
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`127530
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`127750
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`127984
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`128209
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`128630
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`128835
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`129074
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`129214
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`129576
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`129621
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`129789
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`129861
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`130422
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`130455
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`130491
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`130609
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`131276
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`131573
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`131739
dHasAst`0`x`()->Join(SpadSyntaxCategory,etc)``HASAST`131850
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`131899
dHeadAst`0`x`()->Join(SpadSyntaxCategory,etc)``HEADAST`132058
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`132115
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`132182
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`132277
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`132615
dHostname`0`x`()->Join(SetCategory,etc)``HOSTNAME`133024
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`133084
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`133424
dIP4Address`0`x`()->Join(SetCategory,etc)``IP4ADDR`133533
dIdentifier`0`x`()->Join(SetCategory,etc)``IDENT`133615
dIfAst`0`x`()->Join(SpadSyntaxCategory,etc)``IFAST`133803
dImportAst`0`x`()->Join(SpadSyntaxCategory,etc)``IMPTAST`133865
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`133916
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`133971
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`134065
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`134163
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`134370
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`134579
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`134721
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`134919
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`135153
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`135375
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`136453
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`136946
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`137417
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`137525
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`137572
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`138144
dInetClientStreamSocket`0`x`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTupleFunctions2`2`x`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`138262
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`138323
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`138424
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`138473
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`138701
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`138757
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`138900
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`139009
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`139212
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`139339
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`139447
dInputBinaryFile`0`x`()->Join(InputByteConduit,etc)``INBFILE`139823
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`139980
dInputOutputBinaryFile`0`x`()->Join(InputOutputByteConduit,etc)``IOBFILE`140132
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`140303
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`140385
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`140467
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`140549
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`140630
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`140723
dIntegrationFunctionsTable`0`x`()->etc``INTFTBL`140801
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`140818
dInternalRepresentationForm`0`x`()->Join(SetCategory,etc)``IRFORM`141324
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`141437
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`141504
dIsAst`0`x`()->Join(SpadSyntaxCategory,etc)``ISAST`141820
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`141869
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`141919
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`141967
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`142008
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`142057
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`142107
dJoinAst`0`x`()->Join(SpadSyntaxCategory,etc)``JOINAST`142155
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`142213
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`142315
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`142412
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`142480
dLetAst`0`x`()->Join(SpadSyntaxCategory,etc)``LETAST`142640
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`142693
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`142758
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`143120
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`143305
dLinearBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`143652
dLinearElement`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`143847
dLinearForm`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`143986
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`144122
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`144368
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`144649
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`144905
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`145076
dLiteral`1`x`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`145361
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`145413
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`145553
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`145739
dMachineComplex`0`x`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`146598
dMachineFloat`0`x`()->Join(FloatingPointSystem,etc)``MFLOAT`146700
dMachineInteger`0`x`()->Join(FortranMachineTypeCategory,etc)``MINT`146802
dMacroAst`0`x`()->Join(SpadSyntaxCategory,etc)``MACROAST`146897
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`146960
dMappingAst`0`x`()->Join(SpadSyntaxCategory,etc)``MAPPAST`147152
dMapping`1`x`special`(T,S)`MAPPING`147362
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`147601
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`147696
dMaybe`1`x`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`147797
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`147914
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`147947
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`148169
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`148378
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`148411
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`148460
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`148583
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`149535
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`149582
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`149904
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`150153
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`150335
dNone`0`n`()->SetCategory``NONE`150431
dNumericalIntegrationProblem`0`x`()->Join(SetCategory,etc)``NIPROB`0
dNumericalODEProblem`0`x`()->Join(SetCategory,etc)``ODEPROB`0
dNumericalOptimizationProblem`0`x`()->Join(SetCategory,etc)``OPTPROB`0
dNumericalPDEProblem`0`x`()->Join(SetCategory,etc)``PDEPROB`0
dODEIntensityFunctionsTable`0`x`()->etc``ODEIFTBL`150648
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`150787
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`151310
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`151369
dOpenMathConnection`0`x`()->etc``OMCONN`151473
dOpenMathDevice`0`x`()->etc``OMDEV`151610
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`151802
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`151876
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`152035
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`152100
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`152156
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`152205
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`152436
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`152729
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`152844
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`153174
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`153766
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`153890
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`153937
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`154243
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`154931
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`155052
dOutputBinaryFile`0`x`()->Join(OutputByteConduit,etc)``OUTBFILE`155280
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`155438
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`155700
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`155789
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`155974
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`156040
dPair`2`x`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`156215
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`156380
dParameterAst`0`x`()->Join(SpadSyntaxCategory,etc)``PARAMAST`156448
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`156639
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`156732
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`156823
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`156907
dPartition`0`x`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`157740
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`157972
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`158208
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`158429
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`158476
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`158611
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`159080
dPi`0`x`()->Join(Field,etc)``HACKPI`159573
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`159884
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`160147
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`160483
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`160848
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`161176
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`161232
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`161740
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`162104
dPortNumber`0`x`()->Join(SetCategory,etc)``PORTNUM`162393
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`162466
dPretendAst`0`x`()->Join(SpadSyntaxCategory,etc)``PRTDAST`162555
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`162607
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`162801
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`162939
dProperty`0`x`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`162986
dPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`163147
dPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`163228
dPropositionalFormula`1`x`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`163310
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`163431
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`163494
dQuasiquoteAst`0`x`()->Join(SpadSyntaxCategory,etc)``QQUTAST`165213
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`165295
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`165598
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`165651
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`165695
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`165754
dRangeBinding`2`x`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`165899
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`166031
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`166098
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`166334
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`166469
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`166521
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`166612
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`166827
dRepeatAst`0`x`()->Join(SpadSyntaxCategory,etc)``RPTAST`167258
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`167317
dRestrictAst`0`x`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`167519
dResult`0`x`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`167572
dReturnAst`0`x`()->Join(SpadSyntaxCategory,etc)``RETAST`167768
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`167819
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`167994
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`168091
dRoutinesTable`0`x`()->Join(TableAggregate(Symbol,Any),etc)``ROUTINE`168197
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`168316
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`168357
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`168426
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`168522
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`168608
dScope`0`x`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`168676
dSegmentAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEGAST`168831
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`168882
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`169037
dSequenceAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEQAST`169110
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`169163
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`169420
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`170095
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`170209
dSignatureAst`0`x`()->Join(SpadSyntaxCategory,etc)``SIGAST`171263
dSignature`0`x`()->Join(SetCategory,etc)``SIG`171479
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`171698
dSimpleFortranProgram`2`x`(R:SetCategory,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`172277
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`172549
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`172620
dSpadAst`0`n`()->SpadAstExports``SPADAST`172708
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`172963
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`173311
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`173596
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`173714
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dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`174648
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`175219
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dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`185493
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dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`187883
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`187922
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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,R)->_$`dFreeModule1(R,S)``204500
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o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`cFreeMonoidCategory(S)``204588
o*`2`n`(S,_$)->_$`dFreeGroup(S)``204664
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``204740
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``204805
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``204934
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``205103
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``205168
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``205250
o*`2`n`(_$,S)->_$`cFreeMonoidCategory(S)``205312
o*`2`n`(_$,S)->_$`dFreeGroup(S)``205389
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o*`2`n`(_$,_$)->_$`dMagma(VarSet)``205539
o*`2`n`(_$,_$)->_$`dOutputForm``205605
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o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``205712
o*`2`x`(DoubleFloat,_$)->_$`dColor``205798
o*`2`x`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``205900
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``205952
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`205995
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``206088
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``206156
o*`2`x`(PositiveInteger,_$)->_$`dColor``206316
o*`2`x`(R,Basis)->_$`cFreeModuleCat(R,Basis)``206418
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``206480
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)``206528
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o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``206717
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``206846
o*`2`x`(S,_$)->_$`cLeftLinearSet(S)``206975
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o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``207268
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``207400
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o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)``207514
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`207610
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``207703
o*`2`x`(_$,S)->_$`cRightLinearSet(S)``207814
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`207878
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``207976
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o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``208246
o*`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``208627
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``208701
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``208776
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o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``209491
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o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``209704
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``209884
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`209996
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o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
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o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``210702
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`210763
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``210826
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o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
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o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``211471
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o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``211862
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`211981
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o/`2`n`(M,S)->_$`dLocalize(M,R,S)``212436
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o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``212686
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`212747
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o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`213016
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o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`213376
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o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`213852
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oAND`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``215584
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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)``215977
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``216577
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``216675
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oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``216849
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``216886
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``217146
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``217406
oBeta`2`x`(_$,_$)->_$`dDoubleFloat``217471
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)``217536
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``217650
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``217697
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``217815
oD`1`n`(S)->S`xDifferentialSpace&(S)``0
oD`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
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oD`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
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oD`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
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oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`x`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``217965
oD`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``218031
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oD`2`x`(_$,S)->T`cPartialDifferentialDomain(T,S)``218191
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``218256
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``218326
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``218436
oEQ`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``218506
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``218596
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oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``218769
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``218827
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``218885
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``218919
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``219005
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oGE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``219309
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``219398
oGT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``219529
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``219617
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``219693
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``219853
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``220013
oGamma`1`x`(_$)->_$`dDoubleFloat``220064
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220115
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``220203
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``220261
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``220823
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``220943
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``221148
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``221572
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``221709
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`221837
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`222084
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`222331
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`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``222605
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``222694
oLT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``222809
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``222897
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``222953
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`223076
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`223259
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``223399
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``223492
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``223653
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``223755
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``223855
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``223949
oListOfTerms`1`x`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``224042
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``224220
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``224429
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``224519
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``224618
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``224776
oNOT`1`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``224917
oNOT`1`x`(_$)->_$`dSwitch``225005
oNot`1`n`(_$)->_$`dIndexedBits(mn)``225093
oNot`1`x`(_$)->_$`dSingleInteger``225167
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``225260
oODESolve`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Result`cOrdinaryDifferentialEquationsSolverCategory``225355
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``225485
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``225568
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``225647
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``225732
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``225825
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``225848
oOMclose`1`x`(_$)->Void`dOpenMathDevice``225873
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``225958
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``225987
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``226017
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``226043
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``226125
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``226214
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``226409
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``226485
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``226569
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``226656
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``226739
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``226832
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``226912
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``226998
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``227087
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``227172
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``227267
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``227349
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``227431
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``227515
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``227595
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``227663
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``227736
oOMgetString`1`x`(_$)->String`dOpenMathDevice``227818
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``227888
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``227958
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``228045
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``228119
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``228182
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``228257
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``228281
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``228532
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``228665
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``228748
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``228834
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``228916
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``229008
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``229087
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``229172
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``229260
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``229344
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``229438
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``229519
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``229600
oOMputError`1`x`(_$)->Void`dOpenMathDevice``229683
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``229762
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``229850
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``229942
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``230023
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``230113
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``230232
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``230326
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``230424
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``230521
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``230619
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``230745
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``230839
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``231037
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``231189
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``231303
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``231455
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``231617
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``231726
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``231873
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``232101
oOR`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``232345
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``232436
oOr`2`x`(_$,_$)->_$`dSingleInteger``232523
oPDESolve`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Result`cPartialDifferentialEquationsSolverCategory``232630
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``232760
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``232930
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``233040
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`233135
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``233196
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``233400
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``233671
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``233759
oSEGMENT`1`n`(_$)->_$`dOutputForm``234020
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``234082
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``234168
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``234232
oSFunction`1`x`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``234314
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``234461
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``234546
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``234674
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``234868
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``234950
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``234996
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``235113
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`235236
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``235508
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``235613
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``235877
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``235939
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``235998
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``236099
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``236142
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``236351
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``236392
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``236460
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``236620
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``236699
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``236743
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``236784
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``236830
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``236878
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237012
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`237089
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`237218
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`237306
oabs`1`x`(_$)->_$`cOrderedAbelianGroup``237390
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``237451
oabs`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``237512
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``237579
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``237661
oaccuracyIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``237743
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``237956
oacos`1`n`(F)->F`pElementaryFunction(R,F)``238045
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``238115
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238186
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238257
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``238330
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``238405
oacos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``238463
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``238532
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``238623
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``238705
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238797
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238889
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``238978
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``239069
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``239139
oacot`1`n`(F)->F`pElementaryFunction(R,F)``239228
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239301
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239375
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239449
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239525
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``239603
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``239664
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``239755
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239840
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239935
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``240030
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``240122
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``240216
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240289
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``240378
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``240450
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``240523
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``240596
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``240671
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``240748
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240808
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``240899
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``240983
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``241077
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``241171
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``241262
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``241355
oadaptive3D?`0`n`()->Boolean`dPlot3D``241427
oadaptive?`0`n`()->Boolean`dPlot``241503
oadaptive`0`x`()->Boolean`pGraphicsDefaults``241576
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``241654
oadaptive`1`x`(Boolean)->_$`dDrawOption``241763
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``241944
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``242152
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``242298
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``242450
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``242823
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``243061
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``243238
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``243526
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``243685
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``244458
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``245199
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``245427
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)`245503
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``245679
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`245739
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`245812
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``245929
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``246001
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``246157
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``246313
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``246372
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``246444
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``246600
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``246756
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``246815
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)``247127
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``247439
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``247557
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``247694
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``247878
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``247934
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``248069
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``248203
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``248334
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``248510
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``248604
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``248693
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``248782
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``248871
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``248960
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``249049
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``249138
oalphabetic?`1`x`(_$)->Boolean`dCharacter``249247
oalphabetic`0`x`()->_$`dCharacterClass``249362
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``249488
oalphanumeric`0`x`()->_$`dCharacterClass``249630
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``249760
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``250211
oalternating`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``250574
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``250680
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250911
oand`2`n`(_$,_$)->_$`dOutputForm``251142
oand`2`x`(_$,_$)->_$`cBooleanLogic``251199
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`251271
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``251380
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``251573
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``251766
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``251927
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``252088
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``252146
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``252184
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``252389
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`252594
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`253158
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`253740
oany`2`x`(SExpression,None)->_$`dAny``253982
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``254172
oappend`2`x`(_$,_$)->_$`dList(S)``254352
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)``254508
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``254583
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``254640
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``254702
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``254769
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``254841
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``255054
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``255175
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``255433
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``255590
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``255704
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``255832
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``255954
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``256268
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``256479
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`256579
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``256714
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``256852
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``256979
oarbitrary`0`x`()->_$`dArity``257111
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`257194
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`257322
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`257464
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``258761
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``258813
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``258866
oargumentList!`1`x`(List(Symbol))->Void`dTheSymbolTable``258959
oargumentList!`2`x`(Symbol,List(Symbol))->Void`dTheSymbolTable``259089
oargumentList!`3`x`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``259218
oargumentListOf`2`x`(Symbol,_$)->List(Symbol)`dTheSymbolTable``259351
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``259425
oargument`1`n`(_$)->List(S)`dKernel(S)``259503
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`259569
oarguments`1`x`(_$)->List(Syntax)`dConstructorCall(C)``259649
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`x`(_$)->Arity`cOperatorCategory(S)``259761
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``259830
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``260616
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``260773
oasec`1`n`(F)->F`pElementaryFunction(R,F)``260862
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``260932
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261003
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261074
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261147
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``261222
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261280
oasech`1`n`(F)->F`pElementaryFunction(R,F)``261371
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``261453
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261545
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261637
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261726
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``261817
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``261887
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``262673
oasin`1`n`(F)->F`pElementaryFunction(R,F)``262762
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``262830
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262899
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262968
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263039
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``263112
oasin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``263168
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``263237
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``263328
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``263408
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``263498
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``263588
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263675
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``263764
oaspFilename`1`x`(String)->String`pNAGLinkSupportPackage``263832
oassert`2`x`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``263985
oassert`2`x`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``264093
oassert`2`x`(_$,Identifier)->_$`dBasicOperator``264165
oassign`2`n`(_$,_$)->_$`dOutputForm``264314
oassign`2`x`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``264389
oassign`2`x`(Symbol,Expression(Float))->_$`dFortranCode``264471
oassign`2`x`(Symbol,Expression(Integer))->_$`dFortranCode``264553
oassign`2`x`(Symbol,Expression(MachineComplex))->_$`dFortranCode``264635
oassign`2`x`(Symbol,Expression(MachineFloat))->_$`dFortranCode``264717
oassign`2`x`(Symbol,Expression(MachineInteger))->_$`dFortranCode``264799
oassign`2`x`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``264881
oassign`2`x`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``264963
oassign`2`x`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``265045
oassign`2`x`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``265127
oassign`2`x`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``265209
oassign`2`x`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``265291
oassign`2`x`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``265373
oassign`2`x`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``265455
oassign`2`x`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``265537
oassign`2`x`(Symbol,String)->_$`dFortranCode``265619
oassign`2`x`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``265701
oassign`2`x`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``265783
oassign`2`x`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``265865
oassign`2`x`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``265947
oassign`2`x`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``266029
oassign`2`x`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``266111
oassign`2`x`(Symbol,Vector(MachineComplex))->_$`dFortranCode``266193
oassign`2`x`(Symbol,Vector(MachineFloat))->_$`dFortranCode``266275
oassign`2`x`(Symbol,Vector(MachineInteger))->_$`dFortranCode``266357
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``266439
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``266607
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``266775
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``266943
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``267111
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``267279
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``267447
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`267603
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``267793
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``267937
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``268065
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``268145
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``268225
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`268566
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``268907
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``268971
oatan`1`n`(F)->F`pElementaryFunction(R,F)``269060
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)``269131
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``269203
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``269275
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``269349
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``269425
oatan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``269484
oatan`2`x`(_$,_$)->_$`dDoubleFloat``269553
oatan`2`x`(_$,_$)->_$`dFloat``269637
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``269721
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``269812
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)``269895
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``269988
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``270081
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``270171
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``270263
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``270334
oatoms`1`n`(PropositionalFormula(T))->Set(T)`dPropositionalFormulaFunctions1(T)``270400
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``270485
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``270578
oatt2Result`1`x`(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The botto--m of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))->Result`pExpertSystemToolsPackage``271372
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``271455
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271590
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271686
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271856
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271950
oautoCoerce`1`x`(_$)->AttributeAst`cSpadAstExports``272379
oautoCoerce`1`x`(_$)->CapsuleAst`cSpadAstExports``272485
oautoCoerce`1`x`(_$)->CaseAst`cSpadAstExports``272589
oautoCoerce`1`x`(_$)->CategoryAst`cSpadAstExports``272690
oautoCoerce`1`x`(_$)->CoerceAst`cSpadAstExports``272795
oautoCoerce`1`x`(_$)->CollectAst`cSpadAstExports``272898
oautoCoerce`1`x`(_$)->ColonAst`cSpadAstExports``273002
oautoCoerce`1`x`(_$)->ConstructAst`cSpadAstExports``273105
oautoCoerce`1`x`(_$)->DefinitionAst`cSpadAstExports``273211
oautoCoerce`1`x`(_$)->DoubleFloat`dSyntax``273318
oautoCoerce`1`x`(_$)->ExitAst`cSpadAstExports``273471
oautoCoerce`1`x`(_$)->HasAst`cSpadAstExports``273572
oautoCoerce`1`x`(_$)->Identifier`cSpadAstExports``273672
oautoCoerce`1`x`(_$)->Identifier`dParameterAst``273776
oautoCoerce`1`x`(_$)->Identifier`dSyntax``273936
oautoCoerce`1`x`(_$)->IfAst`cSpadAstExports``274100
oautoCoerce`1`x`(_$)->ImportAst`cSpadAstExports``274199
oautoCoerce`1`x`(_$)->InAst`cSpadAstExports``274302
oautoCoerce`1`x`(_$)->Integer`cSpadAstExports``274401
oautoCoerce`1`x`(_$)->Integer`dSyntax``274502
oautoCoerce`1`x`(_$)->IsAst`cSpadAstExports``274659
oautoCoerce`1`x`(_$)->JoinAst`cSpadAstExports``274758
oautoCoerce`1`x`(_$)->LetAst`cSpadAstExports``274892
oautoCoerce`1`x`(_$)->MacroAst`cSpadAstExports``274992
oautoCoerce`1`x`(_$)->MappingAst`cSpadAstExports``275094
oautoCoerce`1`x`(_$)->PretendAst`cSpadAstExports``275198
oautoCoerce`1`x`(_$)->RepeatAst`cSpadAstExports``275302
oautoCoerce`1`x`(_$)->RestrictAst`cSpadAstExports``275405
oautoCoerce`1`x`(_$)->ReturnAst`cSpadAstExports``275510
oautoCoerce`1`x`(_$)->SegmentAst`cSpadAstExports``275613
oautoCoerce`1`x`(_$)->SequenceAst`cSpadAstExports``275717
oautoCoerce`1`x`(_$)->SignatureAst`cSpadAstExports``275822
oautoCoerce`1`x`(_$)->StepAst`cSpadAstExports``275928
oautoCoerce`1`x`(_$)->String`cSpadAstExports``276032
oautoCoerce`1`x`(_$)->String`dParameterAst``276132
oautoCoerce`1`x`(_$)->String`dSyntax``276284
oautoCoerce`1`x`(_$)->SuchThatAst`cSpadAstExports``276439
oautoCoerce`1`x`(_$)->T`dMaybe(T)``276544
oautoCoerce`1`x`(_$)->WhereAst`cSpadAstExports``276674
oautoCoerce`1`x`(_$)->WhileAst`cSpadAstExports``276776
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``276878
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``277055
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``277144
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``277255
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``277484
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``277729
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``277987
oback`1`x`(_$)->S`cQueueAggregate(S)``278227
obackspace`0`x`()->_$`dCharacter``278375
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``278435
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``278473
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``278511
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``278643
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``278740
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``278856
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``279032
obandedHessian`3`x`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``279188
obandedJacobian`4`x`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``279765
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``280500
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``280707
obase`0`x`()->PositiveInteger`cFloatingPointSystem``280889
obase`0`x`()->_$`cIntegerNumberSystem``280979
obase`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``281067
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``281128
obase`1`x`(_$)->SpadAst`dAddAst``281190
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``281276
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``281608
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``281797
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``282036
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``282192
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``282358
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``282482
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``282655
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``282836
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``283011
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``283220
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``283345
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``283519
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``283702
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``283777
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``283840
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``283903
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``283998
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``284070
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``284136
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`284226
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``284298
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``284405
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``284455
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedType&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`x`(_$,_$)->Boolean`cBasicType``284555
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``284698
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``284842
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``284925
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``285005
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``285091
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``285152
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``285239
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`285326
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``285370
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``285676
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285829
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``285918
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286127
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``286336
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286414
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286503
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286703
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``286903
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286972
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``287061
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``287436
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``287812
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``287891
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``287980
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``288352
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``288724
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`288794
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``288930
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`289035
obfEntry`1`x`(Symbol)->Record(zeros:Stream(DoubleFloat),ones:Stream(DoubleFloat),singularities:Stream(DoubleFloat))`dBasicFunctions``289187
obfKeys`0`x`()->List(Symbol)`dBasicFunctions``289296
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``289394
obigEndian`0`n`()->_$`dByteOrder``289770
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``289820
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``289872
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``289920
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``290038
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``290143
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``290272
obinary`2`n`(_$,List(_$))->_$`dInputForm``290346
obinding`2`x`(Identifier,List(Property))->_$`dBinding``290454
obindings`1`x`(_$)->List(Binding)`dContour``290547
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`290624
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``290721
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``290882
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``290924
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``291022
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``291224
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``291412
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``291699
obirth`1`n`(_$)->_$`dSubSpace(n,R)``291938
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``291975
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``292070
obitLength`1`n`(Integer)->Integer`pIntegerBits``292146
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``292227
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``292320
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitand`2`x`(_$,_$)->_$`dByte``292388
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``292456
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`x`(_$,_$)->_$`dByte``292533
obits`0`x`()->PositiveInteger`cFloatingPointSystem``292618
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`292676
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``292769
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``292839
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``292953
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``293117
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``293329
oblock`1`x`(List(_$))->_$`dFortranCode``293424
oblue`0`x`()->_$`dColor``293514
oblue`1`x`(_$)->T`cRGBColorModel(T)``293589
obody`1`n`(_$)->SpadAst`dReduceAst``293648
obody`1`n`(_$)->Syntax`dAnonymousFunction``293716
obody`1`x`(_$)->List(SpadAst)`dCapsuleAst``293784
obody`1`x`(_$)->List(SpadAst)`dCategoryAst``293866
obody`1`x`(_$)->List(SpadAst)`dCommaAst``293940
obody`1`x`(_$)->List(SpadAst)`dSequenceAst``294009
obody`1`x`(_$)->SpadAst`dAddAst``294099
obody`1`x`(_$)->SpadAst`dCollectAst``294179
obody`1`x`(_$)->SpadAst`dDefinitionAst``294270
obody`1`x`(_$)->SpadAst`dMacroAst``294343
obody`1`x`(_$)->SpadAst`dRepeatAst``294416
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``294472
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``294549
obothWays`0`n`()->_$`dIOMode``294633
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``294715
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`294797
obounds`1`x`(_$)->List(SpadAst)`dSegmentAst``294865
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``295010
obox`1`x`(List(_$))->_$`cExpressionSpace``295059
obox`1`x`(_$)->_$`cExpressionSpace``295360
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``295597
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``295773
obrace`1`n`(_$)->_$`dOutputForm``295904
obrace`1`x`(List(S))->_$`cSetAggregate(S)``295991
obracket`1`n`(List(_$))->_$`dOutputForm``296165
obracket`1`n`(_$)->_$`dOutputForm``296299
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)``296380
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)``296546
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``296712
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``296788
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``296867
obright`1`x`(Color)->_$`dPalette``296952
obright`1`x`(List(String))->List(String)`pDisplayPackage``297046
obright`1`x`(String)->List(String)`pDisplayPackage``297148
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``297237
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``297397
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``297698
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``297794
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``297931
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``297972
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``298015
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``298275
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`298799
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``298842
obuildSyntax`2`x`(Identifier,List(_$))->_$`dSyntax``298887
obuildSyntax`2`x`(_$,List(_$))->_$`dSyntax``298992
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``299097
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``299138
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``299303
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``299444
obyteBuffer`1`x`(NonNegativeInteger)->_$`dByteBuffer``299585
obyte`1`x`(NonNegativeInteger)->_$`dByte``299668
obytes`1`x`(_$)->DataArray(4,Byte)`dIP4Address``299796
oc02aff`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``299865
oc02agf`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``300042
oc05adf`6`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagRootFindingPackage``300216
oc05nbf`6`x`(Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp6(FCN)))->Result`pNagRootFindingPackage``300451
oc05pbf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp35(FCN)))->Result`pNagRootFindingPackage``300668
oc06eaf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``300928
oc06ebf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301122
oc06ecf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301329
oc06ekf`5`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301528
oc06fpf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301719
oc06fqf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301993
oc06frf`7`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302280
oc06fuf`8`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302559
oc06gbf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302837
oc06gcf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``302967
oc06gqf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303111
oc06gsf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``303260
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303505
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303631
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303774
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303903
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304049
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304177
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304322
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304448
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304591
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304715
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304856
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304983
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305127
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305249
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305383
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305508
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305645
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305769
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305905
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306032
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306157
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306299
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306404
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306526
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306660
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306780
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306912
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`307035
ocache`0`n`()->List(S)`pSortedCache(S)``307170
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``307229
ocallForm?`1`x`(_$)->Boolean`dElaboratedExpression``307271
ocall`1`x`(String)->_$`dFortranCode``307344
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``307419
ocapacity`1`x`(_$)->NonNegativeInteger`dByteBuffer``307531
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``307608
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``307658
ocarriageReturn`0`x`()->_$`dCharacter``307774
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``307831
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``307913
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``307977
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``308040
ocase`2`x`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``308108
ocase`2`x`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``308180
ocase`2`x`(_$,[||](CaseAst))->Boolean`cSpadAstExports``308254
ocase`2`x`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``308326
ocase`2`x`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``308404
ocase`2`x`(_$,[||](CollectAst))->Boolean`cSpadAstExports``308480
ocase`2`x`(_$,[||](ColonAst))->Boolean`cSpadAstExports``308558
ocase`2`x`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``308632
ocase`2`x`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``308709
ocase`2`x`(_$,[||](DoubleFloat))->Boolean`dSyntax``308782
ocase`2`x`(_$,[||](ExitAst))->Boolean`cSpadAstExports``308861
ocase`2`x`(_$,[||](HasAst))->Boolean`cSpadAstExports``308934
ocase`2`x`(_$,[||](Identifier))->Boolean`cSpadAstExports``309004
ocase`2`x`(_$,[||](Identifier))->Boolean`dParameterAst``309075
ocase`2`x`(_$,[||](Identifier))->Boolean`dSyntax``309181
ocase`2`x`(_$,[||](IfAst))->Boolean`cSpadAstExports``309259
ocase`2`x`(_$,[||](ImportAst))->Boolean`cSpadAstExports``309327
ocase`2`x`(_$,[||](InAst))->Boolean`cSpadAstExports``309405
ocase`2`x`(_$,[||](Integer))->Boolean`cSpadAstExports``309470
ocase`2`x`(_$,[||](Integer))->Boolean`dSyntax``309543
ocase`2`x`(_$,[||](IsAst))->Boolean`cSpadAstExports``309615
ocase`2`x`(_$,[||](JoinAst))->Boolean`cSpadAstExports``309684
ocase`2`x`(_$,[||](LetAst))->Boolean`cSpadAstExports``309789
ocase`2`x`(_$,[||](MacroAst))->Boolean`cSpadAstExports``309867
ocase`2`x`(_$,[||](MappingAst))->Boolean`cSpadAstExports``309941
ocase`2`x`(_$,[||](PretendAst))->Boolean`cSpadAstExports``310013
ocase`2`x`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``310091
ocase`2`x`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``310162
ocase`2`x`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``310242
ocase`2`x`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``310317
ocase`2`x`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``310395
ocase`2`x`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``310478
ocase`2`x`(_$,[||](StepAst))->Boolean`cSpadAstExports``310556
ocase`2`x`(_$,[||](String))->Boolean`cSpadAstExports``310650
ocase`2`x`(_$,[||](String))->Boolean`dParameterAst``310720
ocase`2`x`(_$,[||](String))->Boolean`dSyntax``310804
ocase`2`x`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``310873
ocase`2`x`(_$,[||](T))->Boolean`dMaybe(T)``310954
ocase`2`x`(_$,[||](WhereAst))->Boolean`cSpadAstExports``311046
ocase`2`x`(_$,[||](WhileAst))->Boolean`cSpadAstExports``311138
ocase`2`x`(_$,[||](nothing))->Boolean`dMaybe(T)``311209
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``311282
ocategories`1`x`(_$)->List(TypeAst)`dJoinAst``311416
ocategoryFrame`0`x`()->_$`dEnvironment``311479
ocategoryMode`0`n`()->_$`dInternalTypeForm``311539
ocategory`0`n`()->_$`dConstructorKind``311604
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``311659
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`311718
oceiling`1`x`(_$)->_$`cRealNumberSystem``311797
ocenter`1`n`(_$)->_$`dOutputForm``311860
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``311922
ocenter`2`n`(_$,Integer)->_$`dOutputForm``312009
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``312089
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``312369
ocentral?`3`x`(DoubleFloat,DoubleFloat,List(Expression(DoubleFloat)))->Boolean`pd03AgentsPackage``312682
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``312728
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``312953
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``312996
ochangeBase`3`x`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``313138
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``313193
ochangeMeasure`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``313344
ochangeNameToObjf`2`x`(Symbol,Result)->Result`pe04AgentsPackage``313452
ochangeName`3`x`(Symbol,Symbol,Result)->Result`pd01AgentsPackage``313559
ochangeThreshhold`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``313674
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``313860
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``313943
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``314026
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``314164
ocharClass`1`x`(List(Character))->_$`dCharacterClass``314297
ocharClass`1`x`(String)->_$`dCharacterClass``314416
ochar`1`x`(NonNegativeInteger)->_$`dCharacter``314537
ochar`1`x`(String)->_$`dCharacter``314677
ocharacter?`1`x`(_$)->Boolean`dFortranScalarType``314758
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``314854
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)``314963
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``315144
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``315310
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``315470
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``315619
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``315795
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``315978
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``316134
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``316405
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``316535
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``316915
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``317041
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``317810
ocharacteristic`0`x`()->NonNegativeInteger`cRing``317881
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``318089
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`x`(_$)->Maybe(_$)`cCharacteristicNonZero``318336
ocharthRoot`1`x`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`318454
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``318581
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``318707
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``318999
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``319188
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``319475
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``319659
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``319914
ocheckPrecision`0`x`()->Boolean`pNAGLinkSupportPackage``320185
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``320232
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``320351
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``320477
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``320513
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``320555
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)`320596
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``320674
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)``320713
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``320753
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``320833
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``321090
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)``321364
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``321418
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``321613
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``321651
oclearCache`0`n`()->Void`pSortedCache(S)``322004
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``322050
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``322208
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``322366
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``322511
oclearFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``322660
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``322732
oclearTheFTable`0`x`()->Void`dIntegrationFunctionsTable``322827
oclearTheIFTable`0`x`()->Void`dODEIntensityFunctionsTable``322897
oclearTheSymbolTable`0`x`()->Void`dTheSymbolTable``322978
oclearTheSymbolTable`1`x`(Symbol)->Void`dTheSymbolTable``323047
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``323127
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``323174
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323388
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323757
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``324154
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``324248
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``324413
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324716
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325062
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325337
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325618
oclip`1`x`(Boolean)->_$`dDrawOption``325902
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``326066
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326224
oclose!`1`x`(_$)->_$`cConduit``326533
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``326667
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``326745
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``327210
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``327414
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``327622
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``327661
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``327700
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``327779
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``328015
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``328278
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``328621
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``329152
oclosed`0`n`()->_$`dIOMode``329417
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``329485
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`329574
ocode`1`x`(_$)->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:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``329655
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``329752
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``329793
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``329909
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``330076
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``330158
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``330288
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``330333
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``330459
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``330533
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``330724
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``330943
ocoefficient`2`x`(_$,Basis)->R`cFreeModuleCat(R,Basis)``331093
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``331173
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``331340
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``331454
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``331528
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``331635
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``331742
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``331868
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``332083
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``332167
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``332322
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``332385
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``332726
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCat(R,Basis)``332820
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``332896
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``332988
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`333138
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`333450
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``333762
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``333891
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``334185
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``334318
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``334532
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`xOperatorCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``334652
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`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``334739
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``334826
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)``334961
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``335019
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``335276
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``335780
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
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`(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`xAbstractSyntaxCategory&(S)``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)->Syntax`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``335874
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``335956
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``336028
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``336166
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``336304
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``336413
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``336478
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``336518
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``336607
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``336709
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``336798
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``336900
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``337074
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``337215
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``337331
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``337459
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``337611
ocoerce`1`n`(_$)->OutputForm`dGraphImage``337762
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``337910
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``338092
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``338130
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``338168
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``338206
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``338249
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``338338
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``338424
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``338513
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``338597
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``338680
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``338843
ocoerce`1`x`(Character)->_$`cStringAggregate``339000
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``339091
ocoerce`1`x`(Color)->_$`dPalette``339168
ocoerce`1`x`(Complex(Float))->_$`dMachineComplex``339272
ocoerce`1`x`(Complex(Integer))->_$`dMachineComplex``339338
ocoerce`1`x`(Complex(MachineFloat))->_$`dMachineComplex``339404
ocoerce`1`x`(Complex(MachineInteger))->_$`dMachineComplex``339470
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``339536
ocoerce`1`x`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``339595
ocoerce`1`x`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339636
ocoerce`1`x`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339677
ocoerce`1`x`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339718
ocoerce`1`x`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339759
ocoerce`1`x`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339800
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``339841
ocoerce`1`x`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``339998
ocoerce`1`x`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``340038
ocoerce`1`x`(Expression(Integer))->Expression(_$)`dMachineInteger``340078
ocoerce`1`x`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``340151
ocoerce`1`x`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``340191
ocoerce`1`x`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``340231
ocoerce`1`x`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``340271
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``340311
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``340755
ocoerce`1`x`(FortranCode)->_$`cFortranFunctionCategory``341202
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixCategory``341319
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixFunctionCategory``341436
ocoerce`1`x`(FortranCode)->_$`cFortranVectorCategory``341553
ocoerce`1`x`(FortranCode)->_$`cFortranVectorFunctionCategory``341670
ocoerce`1`x`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``341787
ocoerce`1`x`(FortranExpression(construct('X),construct('Y),MachineFloat))->_$`dAsp9(name)``341828
ocoerce`1`x`(FortranExpression(construct('X),construct,MachineFloat))->_$`dAsp1(name)``341961
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp4(name)``342094
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp49(name)``342227
ocoerce`1`x`(FortranExpression(construct,construct('XC),MachineFloat))->_$`dAsp24(name)``342360
ocoerce`1`x`(FortranScalarType)->_$`dFortranType``342493
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``342555
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``342622
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``342914
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`343064
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`343126
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``343188
ocoerce`1`x`(Integer)->_$`dOrdSetInts``343268
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``343338
ocoerce`1`x`(List(FortranCode))->_$`cFortranFunctionCategory``343431
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixCategory``343553
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``343675
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorCategory``343797
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorFunctionCategory``343919
ocoerce`1`x`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``344041
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``344083
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``344407
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``344509
ocoerce`1`x`(List(S))->_$`dPermutation(S)``344593
ocoerce`1`x`(List(TypeAst))->_$`dImportAst``344821
ocoerce`1`x`(List(TypeAst))->_$`dJoinAst``344894
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``344961
ocoerce`1`x`(MachineInteger)->_$`dMachineFloat``345045
ocoerce`1`x`(Matrix(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp77(name)``345117
ocoerce`1`x`(Matrix(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp74(name)``345250
ocoerce`1`x`(Matrix(FortranExpression(construct('XL,'XR,'ELAM),construct,MachineFloat)))->_$`dAsp80(name)``345383
ocoerce`1`x`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``345516
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``345593
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``345683
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``345752
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``345878
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`345979
ocoerce`1`x`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``346041
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``346170
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``346256
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``346346
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->_$`dNumericalOptimizationProblem``346412
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``346452
ocoerce`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->_$`dNumericalOptimizationProblem``346492
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``346532
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``346724
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``346916
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``347108
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``347300
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``347492
ocoerce`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->_$`dNumericalPDEProblem``347532
ocoerce`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``347572
ocoerce`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalODEProblem``347612
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``347652
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``347755
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``347836
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``348063
ocoerce`1`x`(S)->_$`cCoercibleFrom(S)``348398
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``348462
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``348558
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``348633
ocoerce`1`x`(Signature)->_$`dMappingAst``348767
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``348836
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`348908
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``348970
ocoerce`1`x`(String)->_$`dFortranScalarType``349029
ocoerce`1`x`(String)->_$`dIndexCard``349318
ocoerce`1`x`(Symbol)->_$`dFortranScalarType``349491
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``349755
ocoerce`1`x`(Symbol)->_$`dSwitch``349999
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``350039
ocoerce`1`x`(Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat)))->_$`dNumericalIntegrationProblem``350102
ocoerce`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->_$`dNumericalOptimizationProblem``350142
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``350182
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``350259
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``350337
ocoerce`1`x`(Vector(FortranExpression(construct('EPS),construct('YA,'YB),MachineFloat)))->_$`dAsp42(nameOne,nameTwo,nameThree)``350426
ocoerce`1`x`(Vector(FortranExpression(construct('JINT,'X,'ELAM),construct,MachineFloat)))->_$`dAsp10(name)``350559
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp31(name)``350692
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp7(name)``350825
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp78(name)``350958
ocoerce`1`x`(Vector(FortranExpression(construct('X,'EPS),construct('Y),MachineFloat)))->_$`dAsp41(nameOne,nameTwo,nameThree)``351091
ocoerce`1`x`(Vector(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp73(name)``351224
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp35(name)``351357
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp55(name)``351490
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp19(name)``351623
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp50(name)``351756
ocoerce`1`x`(Vector(MachineFloat))->_$`cFortranVectorCategory``351889
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``351966
ocoerce`1`x`(_$)->Complex(Float)`dMachineComplex``352173
ocoerce`1`x`(_$)->DoubleFloat`dSyntax``352238
ocoerce`1`x`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``352306
ocoerce`1`x`(_$)->Float`dMachineFloat``352346
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``352416
ocoerce`1`x`(_$)->Identifier`dSyntax``352518
ocoerce`1`x`(_$)->Integer`dSyntax``352586
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``352657
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``352728
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``352813
ocoerce`1`x`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``352884
ocoerce`1`x`(_$)->SExpression`dFortranScalarType``352957
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``353038
ocoerce`1`x`(_$)->String`dSyntax``353104
ocoerce`1`x`(_$)->Symbol`dFortranScalarType``353173
ocoerce`1`x`(_$)->Table(Symbol,FortranType)`dSymbolTable``353241
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353298
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353382
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``353466
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``353508
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``354269
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)``354403
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)``354553
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``354706
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``354844
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``355153
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``355336
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``355544
ocolor`1`n`(Point(R))->R`pPointPackage(R)``355768
ocolor`1`x`(Integer)->_$`dColor``356081
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``356151
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``356277
ocombineFeatureCompatibility`2`x`(Float,Float)->Float`pd02AgentsPackage``356399
ocombineFeatureCompatibility`2`x`(Float,List(Float))->Float`pd02AgentsPackage``356478
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``356556
ocommaSeparate`1`x`(List(String))->String`pd01AgentsPackage``356651
ocomment`1`x`(List(String))->_$`dFortranCode``356740
ocomment`1`x`(String)->_$`dFortranCode``356847
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``356949
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``357058
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``357167
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``357270
ocommon`2`x`(Symbol,List(Symbol))->_$`dFortranCode``357377
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``357460
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``357544
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``357628
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``357745
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``357816
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``357870
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``358112
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``358156
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``358357
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``358521
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``358784
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``358823
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``359139
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``359330
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`359538
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``359669
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``359789
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``360184
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``360453
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``360655
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``360824
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``361021
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``361260
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``361407
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``361471
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``361620
ocomplex?`1`x`(_$)->Boolean`dFortranScalarType``361873
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``361965
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``362211
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``362577
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``362722
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``362867
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``363049
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``363231
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``363327
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``363423
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``363485
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``363547
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`363670
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``363793
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``363884
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``364008
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``364132
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``364248
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``364364
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``364502
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`364640
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`364775
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`364910
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365045
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`365180
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`365313
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365448
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365616
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365784
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`365952
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`366090
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`366258
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`366426
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366503
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366580
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`366657
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`366734
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`366811
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`366888
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``366965
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`367042
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367152
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367262
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`367372
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`367482
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`367561
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`367671
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``367781
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``367891
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``368073
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``368385
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``368623
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``368843
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``369069
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``369291
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``369490
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``369623
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``369828
ocomponentUpperBound`0`x`()->T`cRGBColorModel(T)``369884
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``369955
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``370275
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``370750
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``371075
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``371316
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``371410
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``371451
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(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`371650
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`371774
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``371881
ocompound?`1`x`(_$)->Boolean`dSyntax``372230
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``372305
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``372346
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``372535
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``372704
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``373116
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)``373160
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`373247
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`373398
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``373533
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`373637
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(Result))->Result`pExpertSystemToolsPackage``373800
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``373885
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``374235
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`(Result,Result)->Result`pExpertSystemToolsPackage``374371
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``374445
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``374623
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``374861
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``375047
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``375417
oconcat`2`x`(_$,_$)->_$`dRoutinesTable``375597
ocond`2`x`(Switch,_$)->_$`dFortranCode``375663
ocond`3`x`(Switch,_$,_$)->_$`dFortranCode``375767
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``375887
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`376100
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``376369
ocondition`1`x`(_$)->SpadAst`dIfAst``376448
ocondition`1`x`(_$)->SpadAst`dWhileAst``376523
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`376599
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``376775
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``376952
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`377129
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``377338
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``377548
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``377631
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`377969
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(List(PositiveInteger))->List(PositiveInteger)`pPartitionsAndPermutations``378024
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``378097
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``378172
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``378324
oconjugate`1`x`(_$)->_$`dPartition``378403
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``378486
oconjugates`1`x`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``378586
oconjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``378694
oconnectTo`2`x`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`x`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``378794
ocons`2`x`(S,_$)->_$`dList(S)``379072
ocons`2`x`(S,_$)->_$`dStream(S)``379240
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``379385
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``379426
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``379640
oconstant?`1`n`(_$)->Boolean`dPattern(R)``379744
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``379821
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``379919
oconstant?`1`x`(_$)->Boolean`dElaboratedExpression``379991
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``380060
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``380491
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``380536
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``380582
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``380682
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``380828
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``380943
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``381044
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``381270
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``381334
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``381421
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``381578
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``381699
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``381764
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``381900
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))->_$`dSplittingNode(V,C)``382003
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``382089
oconstruct`1`x`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``382437
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``382536
oconstruct`1`x`(List(S))->_$`cCollection(S)``382591
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``382914
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``382981
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``383024
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``383135
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``383236
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``383337
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``383383
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``383503
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``383623
oconstruct`2`x`(S,T)->_$`dPair(S,T)``383724
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``383815
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``383927
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``384071
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``384316
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``384522
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``384591
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``384660
oconstructor`1`x`(_$)->C`dConstructorCall(C)``384941
oconstructor`1`x`(_$)->CategoryConstructor`dCategory``385029
oconstructor`1`x`(_$)->DomainConstructor`dDomain``385136
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``385243
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``385389
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`385469
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`385552
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`385630
ocontinue`1`x`(SingleInteger)->_$`dFortranCode``385913
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``386009
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``386121
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``386233
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``386381
ocontours`1`x`(_$)->List(Contour)`dScope``386607
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``386681
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``386952
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)``387247
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``387346
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``387680
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``388109
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``388349
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``388593
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)``388777
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``388858
oconvert`1`n`(List(_$))->_$`dPattern(R)``388961
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``389036
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`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`389096
oconvert`1`x`(List(Segment(OrderedCompletion(Float))))->List(Segment(OrderedCompletion(DoubleFloat)))`pExpertSystemToolsPackage``389272
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``389423
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``389467
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`389511
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`389591
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`389671
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``389751
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`389795
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)->_$`cConvertibleFrom(S)``389972
oconvert`1`x`(SExpression)->_$`dSyntax``390037
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``390251
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``390295
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``390356
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``390510
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``390648
oconvert`1`x`(_$)->SExpression`dSyntax``390810
oconvert`1`x`(_$)->S`cConvertibleTo(S)``390895
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``390962
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``391072
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``391182
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``391459
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``391757
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``391889
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``391923
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``392125
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``392338
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``392556
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``392770
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``392921
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``393134
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``393347
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``393516
ocoordinates`1`x`(_$)->Vector(K)`dLinearElement(K,B)``393635
ocoordinates`1`x`(_$)->Vector(K)`dLinearForm(K,B)``393745
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``393862
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``393976
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)``394090
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``394238
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``394465
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``394668
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``394786
ocopies`2`x`(Integer,String)->String`pDisplayPackage``394934
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``395053
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)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`395196
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)``395314
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``395374
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``395432
ocopy`1`x`(_$)->_$`cAggregate``395468
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``395632
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``395680
ocopy`1`x`(_$)->_$`dBasicOperator``395773
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)``395825
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``395881
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``395979
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``396066
ocos`1`n`(E)->_$`dFourierComponent(E)``396298
ocos`1`n`(F)->F`pElementaryFunction(R,F)``396364
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``396425
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``396492
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``396559
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``396627
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``396697
ocos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``396750
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``396817
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``396919
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``397008
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397081
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397164
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``397247
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``397327
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``397409
ocosh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``397474
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``397543
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``397641
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``397745
ocot`1`n`(F)->F`pElementaryFunction(R,F)``397832
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397896
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397966
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``398036
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``398107
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``398180
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``398236
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``398338
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``398447
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``398536
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``398612
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``398698
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``398784
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``398867
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``398952
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`399020
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``399127
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`399197
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`399450
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``399638
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``399776
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``399918
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``400060
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``400257
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``400411
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``400765
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``400973
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``401093
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`401386
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``401657
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``401784
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``402000
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``402111
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``402309
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``402442
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``402551
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``402710
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403146
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``403182
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403224
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403258
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403295
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403334
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403368
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403406
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403440
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``403479
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``403699
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`403849
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``403999
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``404213
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404311
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``404398
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``404461
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``404530
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``404599
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``404669
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``404741
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``404796
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404898
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``404987
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``405062
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405147
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``405232
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``405314
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``405398
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``405465
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``405516
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``405553
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``405596
ocurrentCategoryFrame`0`x`()->_$`dScope``405787
ocurrentEnv`0`x`()->_$`dEnvironment``405872
ocurrentScope`0`x`()->_$`dScope``405921
ocurrentSubProgram`0`x`()->Symbol`dTheSymbolTable``405988
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``406081
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``406180
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``406280
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``406369
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``406594
ocurveColor`1`x`(Float)->_$`dDrawOption``406820
ocurveColor`1`x`(Palette)->_$`dDrawOption``406963
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``407133
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``407323
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``407562
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``407663
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``408011
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``408176
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``408296
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``408443
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``408579
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``408719
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``408862
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`409081
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``409487
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``409577
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``409804
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``410134
ocyclic?`1`x`(_$)->Boolean`dTree(S)``410190
ocyclicCopy`1`x`(_$)->_$`dTree(S)``410251
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``410330
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``410414
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``410500
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``410681
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``410799
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`410885
ocyclic`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``411515
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``411611
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``411668
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``411725
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``411769
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``411973
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``412017
od01ajf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``412248
od01akf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``412502
od01alf`10`x`(DoubleFloat,DoubleFloat,Integer,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``412816
od01amf`8`x`(DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``413082
od01anf`10`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``413324
od01apf`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``413542
od01aqf`9`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``413822
od01asf`9`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``414031
od01bbf`6`x`(DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer)->Result`pNagIntegrationPackage``414244
od01fcf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``414489
od01gaf`4`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer)->Result`pNagIntegrationPackage``414789
od01gbf`10`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``415103
od02bbf`10`x`(DoubleFloat,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``415457
od02bhf`10`x`(DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``415790
od02cjf`11`x`(DoubleFloat,Integer,Integer,DoubleFloat,String,DoubleFloat,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``416120
od02ejf`13`x`(DoubleFloat,Integer,Integer,String,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp31(PEDERV)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``416558
od02gaf`13`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``417070
od02gbf`15`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp77(FCNF)),Union(fn:FileName,fp:Asp78(FCNG)))->Result`pNagOrdinaryDifferentialEquationsPackage``417374
od02kef`13`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)))->Result`pNagOrdinaryDifferentialEquationsPackage``417645
od02kef`15`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)),FileName,FileName)->Result`pNagOrdinaryDifferentialEquationsPackage``418284
od02raf`17`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp41(FCN,JACOBF,JACEPS)),Union(fn:FileName,fp:Asp42(G,JACOBG,JACGEP)))->Result`pNagOrdinaryDifferentialEquationsPackage``418930
od03edf`10`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``419271
od03eef`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,String,Integer,Union(fn:FileName,fp:Asp73(PDEF)),Union(fn:FileName,fp:Asp74(BNDY)))->Result`pNagPartialDifferentialEquationsPackage``419577
od03faf`24`x`(DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,ThreeDimensionalMatrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``419796
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``420196
odark`1`x`(Color)->_$`dPalette``420616
odatalist`1`x`(List(S))->_$`dDataList(S)``420708
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``420767
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``421056
odebug`1`n`(Boolean)->Boolean`dPlot``421149
odec`1`x`(_$)->_$`cIntegerNumberSystem``421236
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``421279
odeclare!`2`x`(Symbol,FortranType)->FortranType`dTheSymbolTable``421355
odeclare!`3`x`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``421479
odeclare!`3`x`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``421597
odeclare!`3`x`(Symbol,FortranType,_$)->FortranType`dSymbolTable``421698
odeclare!`4`x`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``421809
odeclare!`4`x`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``421953
odeclare`1`n`(List(_$))->Symbol`dInputForm``422096
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``422445
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``422680
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``422722
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``422804
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``423156
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(_$,ATTRIBUTE(arbitraryPrecision))`423202
odecrease`1`x`(String)->Float`dAttributeButtons``423342
odecrease`2`x`(String,String)->Float`dAttributeButtons``423615
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``423917
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``423957
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``424001
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``424180
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``424483
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``424955
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``425098
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``425239
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``425333
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`425435
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``425578
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`425692
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``425786
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``425951
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``426239
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``426436
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`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``426556
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``426644
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``426682
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``426750
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``426912
odegree`1`x`(_$)->E`cGradedModule(R,E)``426999
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``427120
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``427203
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``427344
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``427471
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``427577
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``427674
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``427766
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``427863
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``427979
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``428066
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``428169
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``428358
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)``428482
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``428588
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``428725
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``428905
odelay`1`x`(()->_$)->_$`dStream(S)``429010
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``429163
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``429256
odeleteProperty!`2`x`(_$,Identifier)->_$`dBasicOperator``429362
odeleteProperty!`2`x`(_$,String)->_$`dBasicOperator``429524
odeleteRoutine!`2`x`(_$,Symbol)->_$`dRoutinesTable``429686
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``429802
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``430002
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``430221
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``430363
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``430591
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``430787
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``431103
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``431160
odenom`1`n`(_$)->S`dLocalize(M,R,S)``431219
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``431278
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``431390
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``431463
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`431575
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)`431687
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``431769
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``431859
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``432061
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``432123
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``432233
odequeue`0`x`()->_$`cDequeueAggregate(S)``432425
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``432502
odequeue`1`x`(List(S))->_$`dDequeue(S)``432677
oderef`1`n`(_$)->S`dReference(S)``432852
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``432907
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`433085
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``433171
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``433297
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``433547
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``433853
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``433972
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``434049
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``434184
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`434319
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`434432
odf2ef`1`x`(DoubleFloat)->Expression(Float)`pExpertSystemToolsPackage``434509
odf2fi`1`x`(DoubleFloat)->Fraction(Integer)`pExpertSystemToolsPackage``434598
odf2mf`1`x`(DoubleFloat)->MachineFloat`pExpertSystemToolsPackage``434706
odf2st`1`x`(DoubleFloat)->String`pExpertSystemContinuityPackage``434791
odf2st`1`x`(DoubleFloat)->String`pExpertSystemToolsPackage``434870
odf2st`1`x`(DoubleFloat)->String`pd01AgentsPackage``434949
odfRange`1`x`(Segment(OrderedCompletion(DoubleFloat)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``435028
odflist`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(DoubleFloat)`pExpertSystemToolsPackage``435169
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``435264
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``435356
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``435550
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))->_$`cMatrixCategory(R,Row,Col)``435744
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``435849
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``435954
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``436451
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``436564
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``436672
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``436781
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``436888
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``437229
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->_$`cDictionaryOperations(S)``437312
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``437439
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)``437510
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``437764
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``438175
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`xDifferentialSpace&(S)``0
odifferentiate`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``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`(_$)->T`cDifferentialDomain(T)``438309
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`xPartialDifferentialSpace&(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`xPartialDifferentialSpace&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`xDifferentialSpace&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``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`xDifferentialSpaceExtension&(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`(_$,(F)->F)->F`dIntegrationResult(F)``438375
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``438475
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`438649
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``438733
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``438853
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``438961
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialSpace``439118
odifferentiate`2`x`(_$,S)->T`cPartialDifferentialDomain(T,S)``439206
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`xPartialDifferentialSpace&(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`xPartialDifferentialSpace&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``439309
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``439450
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``439619
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``439733
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``439895
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``439969
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``440091
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``440213
odigit?`1`x`(_$)->Boolean`dCharacter``440336
odigit`0`x`()->_$`dCharacterClass``440433
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``440549
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``440619
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``440689
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`440786
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``440883
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``440961
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``441147
odihedral`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``441259
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``441359
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``441406
odim`1`x`(Color)->_$`dPalette``441530
odimensionOfIrreducibleRepresentation`1`x`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``441622
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``441850
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``441924
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``441982
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``442133
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442214
odimensionsOf`1`x`(_$)->List(Polynomial(Integer))`dFortranType``442318
odimensionsOf`2`x`(Symbol,Matrix(DoubleFloat))->SExpression`pNAGLinkSupportPackage``442383
odimensionsOf`2`x`(Symbol,Matrix(Integer))->SExpression`pNAGLinkSupportPackage``442431
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``442479
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``442927
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``443379
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``443556
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``443683
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`443827
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``444021
odirection`1`n`(String)->Integer`pToolsForSign(R)``444252
odirectory`1`x`(_$)->String`cFileNameCategory``444293
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``444365
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``444494
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``444592
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``444758
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``444902
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``444961
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)``445020
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``445137
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`445229
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`445312
odisjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``445434
odisplay`1`x`(String)->Void`dMathMLFormat``445534
odisplay`1`x`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``445605
odisplay`1`x`(_$)->Void`dDatabase(S)``445733
odisplay`1`x`(_$)->Void`dIndexCard``445818
odisplay`1`x`(_$)->Void`dTexFormat``445912
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``446096
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``446313
odisplay`2`x`(_$,Integer)->Void`dTexFormat``446548
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)``446694
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``447217
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``447314
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``447536
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``447719
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``447952
odiv`2`n`(_$,_$)->_$`dOutputForm``448191
odivergence`2`x`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``448248
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``448409
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``448641
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``448974
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")`cFreeMonoidCategory(S)``449113
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``449334
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``449477
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``449709
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``449941
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``450173
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``450405
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``450637
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``450720
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``451088
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451536
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451610
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451681
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451785
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451950
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``452261
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``452331
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``452391
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``452451
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``452511
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``452600
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``452686
odom`1`x`(_$)->SExpression`dAny``452775
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``452901
odomain`0`n`()->_$`dConstructorKind``453010
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``453061
odot`1`n`(_$)->_$`dOutputForm``453470
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``453533
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``453713
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`453791
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`453879
odouble?`1`x`(_$)->Boolean`dFortranScalarType``454031
odoubleComplex?`1`x`(_$)->Boolean`dFortranScalarType``454130
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``454250
odoubleFloatFormat`1`n`(String)->String`dOutputForm``454292
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``454367
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``454527
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``454715
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``454799
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``455022
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``455760
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456599
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456817
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``457221
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``457616
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``457702
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``457899
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``457985
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458107
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``458245
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458412
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458551
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458727
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``458889
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459106
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``459282
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459521
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459733
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459959
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``460148
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``460443
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``460702
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``460944
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``461136
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``461365
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``461617
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``461926
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``462190
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462525
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``462792
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463116
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463399
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``463695
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463883
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``464217
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464461
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``464826
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``465256
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`x`(_$)->List(Boolean)`cConstructorCategory``465314
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``465613
odual`1`x`(DualBasis(vars))->_$`dLinearBasis(vars)``465680
odual`1`x`(LinearBasis(vars))->_$`dDualBasis(vars)``465771
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``465865
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``465946
oe01baf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagInterpolationPackage``466033
oe01bef`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466171
oe01bff`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466346
oe01bgf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466500
oe01bhf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``466679
oe01daf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466871
oe01saf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``467096
oe01sbf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467298
oe01sef`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467486
oe01sff`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467698
oe02adf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``467886
oe02aef`4`x`(Integer,Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``468074
oe02agf`16`x`(Integer,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Integer,Integer)->Result`pNagFittingPackage``468226
oe02ahf`9`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Integer,Integer,Integer)->Result`pNagFittingPackage``468604
oe02ajf`10`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,Integer)->Result`pNagFittingPackage``468846
oe02akf`8`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer)->Result`pNagFittingPackage``469103
oe02baf`7`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469347
oe02bbf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``469604
oe02bcf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer)->Result`pNagFittingPackage``469734
oe02bdf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469926
oe02bef`13`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer))->Result`pNagFittingPackage``470085
oe02daf`15`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``470437
oe02dcf`18`x`(String,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer)->Result`pNagFittingPackage``470681
oe02ddf`17`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471125
oe02def`9`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471478
oe02dff`12`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``471628
oe02gaf`7`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471854
oe02zaf`10`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``472048
oe04dgf`15`x`(Integer,DoubleFloat,DoubleFloat,Integer,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``472208
oe04fdf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp50(LSFUN1)))->Result`pNagOptimisationPackage``472578
oe04gcf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp19(LSFUN2)))->Result`pNagOptimisationPackage``472847
oe04jaf`9`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp24(FUNCT1)))->Result`pNagOptimisationPackage``473112
oe04mbf`15`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``473584
oe04naf`24`x`(Integer,Integer,Integer,Integer,Integer,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Boolean,Boolean,Integer,Integer,Matrix(DoubleFloat),Matrix(Integer),Integer,Union(fn:FileName,fp:Asp20(QPHESS)))->Result`pNagOptimisationPackage``473902
oe04ucf`43`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Boolean,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Boolean,Integer,Integer,Integer,Integer,Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(Integer),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp55--(CONFUN)),Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``474227
oe04ycf`8`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``475030
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``475354
oedf2df`1`x`(Expression(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``475412
oedf2ef`1`x`(Expression(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``475562
oedf2efi`1`x`(Expression(DoubleFloat))->Expression(Fraction(Integer))`pExpertSystemToolsPackage``475658
oedf2fi`1`x`(Expression(DoubleFloat))->Fraction(Integer)`pExpertSystemToolsPackage``475771
oef2edf`1`x`(Expression(Float))->Expression(DoubleFloat)`pExpertSystemToolsPackage``475931
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``476053
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``476198
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``476345
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)``476473
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``476834
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476996
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``477138
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``477256
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`dCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`dCompilerPackage``477389
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``477497
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``477671
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``477748
oelementary`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``477845
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``477969
oelements`1`x`(_$)->List(SpadAst)`dConstructAst``478061
oelliptic?`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Boolean`pd03AgentsPackage``478146
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``478189
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``478460
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``478587
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``478714
oelseBranch`1`x`(_$)->SpadAst`dIfAst``478937
oelt`1`n`(_$)->S`dReference(S)``478999
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``479049
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)``479110
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`(_$,List(_$))->_$`dOutputForm``479175
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``479274
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``479414
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`479511
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`479646
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``479794
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``479878
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``479981
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``480081
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``480176
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``480283
oelt`2`x`(_$,"sort")->_$`dDataList(S)``480381
oelt`2`x`(_$,"unique")->_$`dDataList(S)``480502
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``480643
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``480740
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``480818
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``480939
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``481020
oelt`2`x`(_$,S)->T`cEltable(S,T)``481118
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``481258
oelt`2`x`(_$,Symbol)->String`dIndexCard``481355
oelt`2`x`(_$,_$)->_$`cStringAggregate``481553
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``481768
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``481893
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``482262
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``482402
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``482523
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``482652
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``482814
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``482982
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``483045
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``483387
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``483539
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``483604
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``483814
oelt`4`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``484022
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``484093
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``484269
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484336
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``484460
oempty?`1`x`(_$)->Boolean`cAggregate``484558
oempty`0`n`()->_$`dOutputForm``484616
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484661
oempty`0`n`()->_$`dSplittingNode(V,C)``484721
oempty`0`x`()->_$`cAggregate``484831
oempty`0`x`()->_$`dEnvironment``485031
oempty`0`x`()->_$`dScope``485085
oempty`0`x`()->_$`dSymbolTable``485131
oempty`0`x`()->_$`dTheSymbolTable``485189
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``485248
oendOfFile?`1`x`(_$)->Boolean`dTextFile``485339
oendSubProgram`0`x`()->Symbol`dTheSymbolTable``485512
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``485607
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``485693
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``485886
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``486130
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`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``486329
oentries`1`x`(_$)->List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStrea--m:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))`dIntegrationFunctionsTable``486431
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`486472
oentry`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFl--oat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))`dIntegrationFunctionsTable``486576
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``486615
oenvironment`1`n`(_$)->Environment`dElaboration``486711
oeof?`1`x`(_$)->Boolean`dInputBinaryFile``486793
oepilogue`1`x`(_$)->List(String)`dTexFormat``486865
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``486945
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``487017
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``487121
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``487218
oequation`2`x`(S,S)->_$`dEquation(S)``487518
oequation`2`x`(Symbol,S)->_$`dRangeBinding(S,T)``487567
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`x`(Symbol,String)->_$`dQueryEquation``487730
oequiv`2`x`(_$,_$)->_$`cPropositionalLogic``487784
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``487856
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``487904
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``488051
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``488124
oerror`1`x`(List(String))->Exit`pErrorFunctions``488204
oerror`1`x`(String)->Exit`pErrorFunctions``488281
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``488356
oerror`2`x`(String,String)->Exit`pErrorFunctions``488524
oescape`0`x`()->_$`dCharacter``488689
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``488742
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``488899
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489232
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489535
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`(_$)->NonNegativeInteger`cEuclideanDomain``489717
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``489828
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``489939
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``490050
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``490161
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`490272
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``490312
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``490529
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``490830
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``490977
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`491047
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``491116
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``491341
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``491485
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``491625
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``491765
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``491883
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`492124
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``492242
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``492313
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`492403
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`492486
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`492586
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`492649
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)``492732
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``492805
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``493008
oeval`3`x`(Matrix(Expression(DoubleFloat)),List(Symbol),Vector(Expression(DoubleFloat)))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``493089
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``493216
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``493287
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``493420
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``493520
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``493613
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``493770
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``493892
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``494049
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``494171
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``494322
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``494455
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``494555
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)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494676
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494814
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`494974
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`495141
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`495280
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`495414
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``495520
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``495569
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``495693
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``495925
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``496148
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``496320
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`496645
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``496714
oeven?`1`x`(_$)->Boolean`dPermutation(S)``496790
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``496921
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``497065
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``497209
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``497353
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``497497
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``497822
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`xCollection&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
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of07adf`4`x`(Integer,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``531111
of07aef`8`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Matrix(DoubleFloat))->Result`pNagLapack``531266
of07fdf`4`x`(String,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``531536
of07fef`7`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``531707
of2df`1`x`(Float)->DoubleFloat`pExpertSystemToolsPackage``531966
of2st`1`x`(Float)->String`pExpertSystemToolsPackage``532062
ofTable`1`x`(List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Unio--n(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))))->_$`dIntegrationFunctionsTable``532134
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`532215
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`532323
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``532500
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``532728
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``532956
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``533067
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``533213
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``533451
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``533547
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``533595
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``533729
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``533812
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``533993
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``534130
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``534364
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``534711
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`534828
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``534878
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``535128
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``535378
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``535660
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``535942
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``536138
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``536250
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``536394
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``536489
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``536599
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``536886
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``537129
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``537465
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``537773
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`537848
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``537904
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``537992
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``538089
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``538221
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``538296
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)``538387
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``538522
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``538584
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``538893
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``538974
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``539036
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``539131
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``539219
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``539316
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``539437
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``539523
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``539607
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``539792
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``540016
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``540128
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``540195
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``540262
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``540329
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``540410
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``540532
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``540639
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``540792
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``541028
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``541230
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``541388
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``541625
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``541769
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``541994
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``542179
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``542329
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``542580
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``542803
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``543114
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``543200
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``543354
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``543519
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``543623
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``543727
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``543853
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``543979
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``544065
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``544176
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``544257
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``544338
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``544638
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``544717
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``544779
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``544841
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``544888
ofalse`0`x`()->_$`cPropositionalLogic``544935
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``544978
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``545066
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``545228
ofi2df`1`x`(Fraction(Integer))->DoubleFloat`pExpertSystemToolsPackage``545413
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``545502
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``545816
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(_$,ATTRIBUTE(shallowlyMutable))`546065
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``546189
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``546245
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``546304
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``546381
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``546541
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``546614
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dContour``546777
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dScope``546875
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``546968
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``547128
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``547211
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``547353
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``547467
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``547521
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``547575
ofiniteBound`2`x`(List(OrderedCompletion(DoubleFloat)),DoubleFloat)->List(DoubleFloat)`pe04AgentsPackage``547662
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`547806
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`548014
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``548222
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``548421
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``548618
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``548734
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`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``549040
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``549114
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``549175
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`549260
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``549451
ofirst`1`x`(_$)->S`dPair(S,T)``549561
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``549621
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``549777
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``549885
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``549973
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``550220
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``550341
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``550490
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`550645
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``550728
oflatten`1`n`(_$)->_$`dInputForm``550907
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``551147
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``551353
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``551559
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``551650
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``551731
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``551853
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``551910
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`551964
ofloor`1`x`(_$)->_$`cRealNumberSystem``552040
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`552103
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``552191
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``552363
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``552451
oforLoop`2`x`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``552539
oforLoop`3`x`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``552665
oformfeed`0`x`()->_$`dCharacter``552805
ofortranCarriageReturn`0`x`()->Void`dFortranTemplate``552864
ofortranCharacter`0`x`()->_$`dFortranType``552966
ofortranCompilerName`0`x`()->String`pNAGLinkSupportPackage``553046
ofortranComplex`0`x`()->_$`dFortranType``553156
ofortranDoubleComplex`0`x`()->_$`dFortranType``553232
ofortranDouble`0`x`()->_$`dFortranType``553321
ofortranInteger`0`x`()->_$`dFortranType``553405
ofortranLinkerArgs`0`x`()->String`pNAGLinkSupportPackage``553481
ofortranLiteralLine`1`x`(String)->Void`dFortranTemplate``553552
ofortranLiteral`1`x`(String)->Void`dFortranTemplate``553674
ofortranLogical`0`x`()->_$`dFortranType``553759
ofortranReal`0`x`()->_$`dFortranType``553835
ofortranTypeOf`2`x`(Symbol,_$)->FortranType`dSymbolTable``553905
ofortran`3`x`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``553983
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``554169
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``554208
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``554299
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``554504
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`554598
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``554705
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``554786
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``554868
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``554954
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`555035
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``555162
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``555232
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``555332
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`555460
ofront`1`x`(_$)->S`cQueueAggregate(S)``555501
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`555651
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``555742
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``555924
ofullDisplay`1`x`(_$)->Void`dIndexCard``556010
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``556102
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``556235
ofunctionIsContinuousAtEndPoints`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated")`pd01AgentsPackage``556392
ofunctionIsFracPolynomial?`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Boolean`pExpertSystemContinuityPackage``556548
ofunctionIsOscillatory`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd01AgentsPackage``556687
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``556799
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``556868
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``556982
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``557073
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``557146
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``557224
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``557326
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``557361
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``557435
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``557537
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``557625
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``557726
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``557827
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``557893
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)``557970
ogcd`1`x`(List(_$))->_$`cGcdDomain``558047
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``558129
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)``558215
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`558301
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`558400
ogcd`2`x`(_$,_$)->_$`cGcdDomain``558513
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``558598
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``558710
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``558818
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``558951
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``559042
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``559136
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``559221
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``559304
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``559462
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``559620
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``559778
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``559936
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``560135
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``560360
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``560548
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``560704
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``560853
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``560954
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)``561072
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``561254
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)``561649
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``561751
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``561981
ogenerate`1`x`(()->S)->_$`dStream(S)``562115
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``562261
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``562326
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``562553
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`562864
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``563003
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``563068
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``563160
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``563246
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``563310
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``563414
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``563495
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``563570
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563645
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563979
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564124
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564397
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564542
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``564784
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564927
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`565262
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`565412
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`565652
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`565802
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566009
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566173
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566334
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566538
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566704
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``566860
ogensym`0`x`()->_$`dIdentifier``567086
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``567195
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``567275
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``567355
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``567396
ogetButtonValue`2`x`(String,String)->Float`dAttributeButtons``567537
ogetCode`1`x`(_$)->SExpression`dFortranCode``567851
ogetConstant`1`x`(_$)->Union(SExpression,"failed")`dElaboratedExpression``567993
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``568060
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``568204
ogetExplanations`2`x`(_$,String)->List(String)`dRoutinesTable``568435
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``568544
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``568622
ogetIdentifier`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``568865
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``568936
ogetMeasure`2`x`(_$,Symbol)->Float`dRoutinesTable``569095
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``569198
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``569292
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``569386
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``569480
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``569657
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``569834
ogetOperands`1`x`(_$)->List(_$)`dSyntax``570011
ogetOperands`1`x`(_$)->Union(List(_$),"failed")`dElaboratedExpression``570093
ogetOperator`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``570189
ogetOperator`1`x`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``570292
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``570508
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``570673
ogetProperties`2`x`(Identifier,_$)->List(Property)`dEnvironment``570976
ogetProperty`3`x`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``571062
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``571222
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``571338
ogetSyntaxFormsFromFile`1`x`(String)->List(Syntax)`pParser``571427
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``571688
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``571867
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``572005
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``572134
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``572272
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``572392
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``572504
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``572624
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``572743
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``572854
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``572973
ogoodnessOfFit`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``573112
ogoodnessOfFit`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``573772
ogoto`1`x`(SingleInteger)->_$`dFortranCode``574983
ogradient`2`x`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``575058
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``575251
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``575409
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``575581
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``575729
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``575936
ographImage`0`n`()->_$`dGraphImage``576349
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``576534
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``577602
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``577873
ographs`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``578213
ogreen`0`x`()->_$`dColor``578386
ogreen`1`x`(_$)->T`cRGBColorModel(T)``578463
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``578524
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``578818
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``578855
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``578950
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``579452
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``580038
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``580646
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``581344
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``581556
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``581775
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``582018
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``582142
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``582248
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``582711
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``583095
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``583186
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``583256
oground`1`x`(_$)->R`cFunctionSpace(R)``583334
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``583461
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`583496
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`583675
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`583854
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`584045
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`584257
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`584448
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``584660
ohas?`2`x`(_$,Identifier)->Boolean`dBasicOperator``584765
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``584843
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``584921
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``585001
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``585090
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``585179
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``585258
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``585317
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``585553
ohconcat`1`n`(List(_$))->_$`dOutputForm``585729
ohconcat`2`n`(_$,_$)->_$`dOutputForm``585808
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``585889
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``586066
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``586155
oheadAst`2`x`(Identifier,List(ParameterAst))->_$`dHeadAst``586243
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``586320
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``586597
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``586859
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``587042
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``587189
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``587346
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`587471
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->HeadAst`dDefinitionAst``587748
ohead`1`x`(_$)->HeadAst`dMacroAst``587930
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``588114
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``588230
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``588486
oheap`1`x`(List(S))->_$`dHeap(S)``588607
oheight`0`n`()->Integer`dOutputForm``588698
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``588774
oheight`1`n`(_$)->Integer`dOutputForm``588881
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``588955
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``589018
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``589140
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``589413
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``589731
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``590018
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``590180
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``590451
ohessian`2`x`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``590532
ohexDigit?`1`x`(_$)->Boolean`dCharacter``590724
ohexDigit`0`x`()->_$`dCharacterClass``590858
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``590980
ohi`1`x`(_$)->S`cSegmentCategory(S)``591056
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`591144
ohigh`1`x`(_$)->S`cSegmentCategory(S)``591361
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``591453
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``591632
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``591722
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``591832
ohorizontalTab`0`x`()->_$`dCharacter``592064
ohostByteOrder`0`n`()->ByteOrder`dSystem``592119
ohostPlatform`0`n`()->String`dSystem``592147
ohost`1`x`(String)->_$`dHostname``592262
ohspace`1`n`(Integer)->_$`dOutputForm``592325
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``592388
ohue`1`n`(Point(R))->R`pPointPackage(R)``592489
ohue`1`x`(_$)->Color`dPalette``592812
ohue`1`x`(_$)->Integer`dColor``592890
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``592966
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``593103
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``593240
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``593328
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``593416
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``593630
oiFTable`1`x`(List(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))))->_$`dODEIntensityFunctionsTable``593806
oid`1`x`(A)->A`pMappingPackage1(A)``593899
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``593931
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``594222
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``594293
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``594398
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``594476
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``594642
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``594739
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``594890
oidentityMatrix`1`x`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`595104
oidentitySquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``595195
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``595251
oiflist2Result`1`x`(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))->Result`pExpertSystemToolsPackage``595305
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``595391
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``595552
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``595610
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``595666
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``595722
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``595779
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``595835
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``595892
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``595948
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``596005
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``596061
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``596118
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``596174
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``596231
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``596287
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``596344
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``596402
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``596457
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``596513
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``596568
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``596624
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``596679
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``596735
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``596793
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``596850
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``596905
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``596962
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``597017
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``597074
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``597130
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``597185
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``597241
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``597296
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``597352
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``597408
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``597464
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``597519
oimagE`1`x`(_$)->R`cOctonionCategory(R)``597575
oimagI`1`x`(_$)->R`cOctonionCategory(R)``597657
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``597739
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``597823
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``597905
oimagK`1`x`(_$)->R`cOctonionCategory(R)``597989
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``598071
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``598155
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``598254
oimag`1`x`(_$)->R`cComplexCategory(R)``598353
oimagi`1`x`(_$)->R`cOctonionCategory(R)``598411
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``598483
oimagj`1`x`(_$)->R`cOctonionCategory(R)``598541
oimagk`1`x`(_$)->R`cOctonionCategory(R)``598613
oimplies`2`x`(_$,_$)->_$`cPropositionalLogic``598685
oimports`1`x`(_$)->List(TypeAst)`dImportAst``598759
oin?`1`x`(DoubleFloat)->Boolean`pExpertSystemContinuityPackage1(A,B)``598820
oin?`2`x`(DoubleFloat,Segment(OrderedCompletion(DoubleFloat)))->Boolean`pExpertSystemToolsPackage``598909
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``599010
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``599097
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``599204
oinR?`1`n`(_$)->Boolean`dPattern(R)``599584
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``599679
oinc`1`x`(_$)->_$`cIntegerNumberSystem``599787
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``599830
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``599994
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``600158
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`600313
oincrease`1`x`(String)->Float`dAttributeButtons``600443
oincrease`2`x`(String,String)->Float`dAttributeButtons``600716
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``601018
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``601204
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``601382
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``601557
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``601636
oindex`1`x`(PositiveInteger)->_$`cFinite``601673
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``601920
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``602019
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``602227
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`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``602347
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``602444
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``602544
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``602644
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``602738
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``602832
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``603040
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``603248
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``603488
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``603728
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``603992
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``604104
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``604216
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``604413
oinf`1`x`(_$)->R`cIntervalCategory(R)``604569
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``604631
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``604765
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``604902
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``604960
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``605034
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``605174
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``605314
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``605454
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``605594
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``605707
oinfinity`0`x`()->_$`dOnePointCompletion(R)``605750
oinfix?`1`n`(_$)->Boolean`dOutputForm``605793
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``605903
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``606044
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``606128
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``606184
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``606245
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``606470
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``606622
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``607056
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,_$)->P`cTriangularSetCategory(R,E,V,P)``607517
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``607805
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``608077
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``608352
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``608570
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``608737
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``608921
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``609025
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``609358
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``609475
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``609605
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``609957
oinputBinaryFile`1`x`(FileName)->_$`dInputBinaryFile``610033
oinputBinaryFile`1`x`(String)->_$`dInputBinaryFile``610151
oinputOutputBinaryFile`1`x`(FileName)->_$`dInputOutputBinaryFile``610269
oinputOutputBinaryFile`1`x`(String)->_$`dInputOutputBinaryFile``610405
oinput`0`n`()->_$`dIOMode``610536
oinput`1`x`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``610599
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``610719
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``610929
oinsert!`1`x`(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(st--r:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))->_$`dIntegrationFunctionsTable``610993
oinsert!`1`x`(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float)))->_$`dODEIntensityFunctionsTable``611060
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``611127
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``611254
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``611322
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``611418
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``611513
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``611609
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``611714
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``611820
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``611947
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``612109
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``612207
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)``612440
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``612655
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`612906
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``612949
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``612997
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)``613062
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)))`613102
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``613349
oint`1`n`(_$)->_$`dOutputForm``613458
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``613544
oint`2`n`(_$,_$)->_$`dOutputForm``613627
oint`3`n`(_$,_$,_$)->_$`dOutputForm``613747
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``613905
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``613946
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``614040
ointeger?`1`x`(_$)->Boolean`dFortranScalarType``614123
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``614215
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``614361
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``614465
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``614559
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``614683
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614741
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614815
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614905
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614998
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``615085
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``615171
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``615985
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``616799
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``617605
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``618419
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``618491
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``618688
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``619014
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``619143
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``619355
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``619563
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``619721
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``619814
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``619943
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`620029
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``620122
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``620254
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``620327
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`620396
ointegrate`1`x`(NumericalIntegrationProblem)->Result`pAnnaNumericalIntegrationPackage``620579
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`621128
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`621317
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`621434
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`621631
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`621820
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622068
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622257
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622446
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622637
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622826
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`623015
ointegrate`2`x`(Expression(Float),List(Segment(OrderedCompletion(Float))))->Result`pAnnaNumericalIntegrationPackage``623206
ointegrate`2`x`(Expression(Float),Segment(OrderedCompletion(Float)))->Result`pAnnaNumericalIntegrationPackage``623815
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``624419
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``624581
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``624694
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``624856
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`625018
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`625132
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`625262
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`625392
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`625522
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`625652
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`625782
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`625912
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`626073
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`626300
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`626489
ointegrate`3`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float)->Result`pAnnaNumericalIntegrationPackage``626639
ointegrate`3`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float)->Result`pAnnaNumericalIntegrationPackage``627283
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),String)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``627922
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),Symbol)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``628627
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``629328
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``629735
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``630142
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`630549
ointegrate`4`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float)->Result`pAnnaNumericalIntegrationPackage``630699
ointegrate`4`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float)->Result`pAnnaNumericalIntegrationPackage``631299
ointegrate`5`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``631894
ointegrate`5`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``632566
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``633222
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``633417
ointeractiveEnv`0`x`()->_$`dEnvironment``633720
ointermediateResultsIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``633774
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``634050
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``634091
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``634249
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``634355
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``634522
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)``634689
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``634809
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``634929
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``635012
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``635136
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``635219
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``635344
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``635489
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``635759
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``636029
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``636301
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``636568
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``636705
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``636842
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``636889
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`x`(String)->Any`pTemplateUtilities``636938
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``637048
ointerpret`1`n`(_$)->Any`dInputForm``637172
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``637235
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637322
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637423
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637598
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637675
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``637750
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``638017
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``638109
ointerval`1`x`(R)->_$`cIntervalCategory(R)``638175
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``638241
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)``638416
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``638489
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``638524
oinv`1`x`(_$)->_$`cDivisionRing``638559
oinv`1`x`(_$)->_$`cGroup``638652
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`638706
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`638773
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``638842
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``639527
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``639746
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``639958
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``640129
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``640197
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``640359
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`640579
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`640732
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`640894
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`641026
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`641188
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``641263
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``641382
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``641597
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``641791
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``641976
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``642063
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``642177
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``642303
oip4Address`1`x`(String)->_$`dIP4Address``642449
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``642529
oiprint`1`n`(String)->Void`pInternalPrintPackage``642584
oirCtor`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``642679
oirDef`3`x`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``642792
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``642942
oirVar`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``643036
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`643145
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``643206
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``643290
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`643450
oirreducibleRepresentation`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``643761
oirreducibleRepresentation`2`x`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``644100
oirreducibleRepresentation`2`x`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``644316
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``644561
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``644621
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``644694
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``644807
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``644897
ois?`2`x`(_$,S)->Boolean`cOperatorCategory(S)``644979
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``645060
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`645159
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`645292
oisAnd`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``645783
oisAtom`1`x`(_$)->Maybe(T)`dPropositionalFormula(T)``645922
oisConnected?`1`x`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``646037
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``646179
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``646285
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`646396
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``646480
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)`646592
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`646700
oisImplies`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``646806
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``646950
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`647050
oisNot`1`x`(_$)->Maybe(_$)`dPropositionalFormula(T)``647135
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``647254
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``647364
oisOpen?`1`x`(_$)->Boolean`dInputBinaryFile``647472
oisOpen?`1`x`(_$)->Boolean`dInputOutputBinaryFile``647536
oisOpen?`1`x`(_$)->Boolean`dOutputBinaryFile``647592
oisOr`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``647647
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``647785
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``647908
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`648045
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``648140
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``648290
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``648397
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`648492
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``648577
oisQuotient`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pExpertSystemToolsPackage``648674
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``648813
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``648929
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`649053
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``649147
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``649441
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``649624
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``649688
oiterationVar`1`n`(_$)->Identifier`dInAst``649873
oiterationVar`1`x`(_$)->Identifier`dStepAst``649971
oiterators`1`x`(_$)->List(SpadAst)`dCollectAst``650093
oiterators`1`x`(_$)->List(SpadAst)`dRepeatAst``650185
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``650268
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``650476
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``650684
ojacobian`2`x`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``650962
ojacobian`2`x`(Vector(Expression(DoubleFloat)),List(Symbol))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``651165
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``651239
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``651325
ojokerMode`0`n`()->_$`dInternalTypeForm``651541
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``651632
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``651924
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``652216
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``652564
ojust`1`x`(T)->_$`dMaybe(T)``652912
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``652964
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``653055
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``653137
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``653219
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``653291
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``653367
ojvmFinal`0`n`()->_$`dJVMFieldAccess``653440
ojvmFinal`0`n`()->_$`dJVMMethodAccess``653529
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``653619
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``653690
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``653764
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``653846
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``653908
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``653978
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``654055
ojvmNative`0`n`()->_$`dJVMMethodAccess``654156
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``654248
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``654344
ojvmProtected`0`n`()->_$`dJVMFieldAccess``654441
ojvmProtected`0`n`()->_$`dJVMMethodAccess``654533
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``654626
ojvmPublic`0`n`()->_$`dJVMFieldAccess``654717
ojvmPublic`0`n`()->_$`dJVMMethodAccess``654804
ojvmStatic`0`n`()->_$`dJVMFieldAccess``654892
ojvmStatic`0`n`()->_$`dJVMMethodAccess``654930
ojvmStrict`0`n`()->_$`dJVMMethodAccess``654969
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``655054
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``655126
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``655198
ojvmTransient`0`n`()->_$`dJVMFieldAccess``655243
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``655284
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``655397
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``655437
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``655528
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``655687
okernel`1`n`(Symbol)->_$`dKernel(S)``656030
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``656091
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``656184
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``656266
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``656451
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``656617
okey`1`n`(_$)->Integer`dGraphImage``656687
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``656804
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``656962
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``657124
okeys`1`x`(_$)->List(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))`dIntegrationFunctionsTable``657191
okeys`1`x`(_$)->List(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))`dODEIntensityFunctionsTable``657250
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`x`(_$)->ConstructorKind`cConstructorCategory``657311
okind`1`x`(_$)->ConstructorKind`dCategoryAst``657380
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``657472
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``657553
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``657600
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``657920
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``658358
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``658550
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``658662
olabel`2`n`(_$,_$)->_$`dOutputForm``658771
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``658844
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``658974
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``659128
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``659298
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``659443
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``659722
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``659891
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``660200
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``660564
olaplacian`2`x`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``660826
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`660975
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``661145
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``661298
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``661644
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`661831
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``662066
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`662201
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``662479
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``663161
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``663276
olast`1`x`(_$)->SpadAst`dSequenceAst``663443
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``663502
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``663657
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``663832
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``663916
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``664071
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``664203
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``664386
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``664456
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``664589
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``664701
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``664943
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``665001
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``665184
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``665352
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``665523
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``665691
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`665968
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`666042
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`666130
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``666608
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``666796
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``667006
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``667199
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``667425
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``667704
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``668056
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``668369
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:_$)`cRecursivePolynomialCategory(R,E,V)``668645
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``668960
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``669135
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``669418
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``669790
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`670106
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``670242
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``670335
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``670418
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemToolsPackage``670526
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pd01AgentsPackage``670618
oldf2vmf`1`x`(List(DoubleFloat))->Vector(MachineFloat)`pExpertSystemToolsPackage``670713
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``670810
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``670984
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``671087
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``671185
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``671516
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``671617
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``671723
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``671773
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`671820
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``671988
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``672171
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``672268
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCat(R,Basis)``672361
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``672467
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``672579
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``672691
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``672882
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``672929
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``673042
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`673086
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``673245
oleadingMonomial`1`x`(_$)->Basis`cFreeModuleCat(R,Basis)``673292
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``673409
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``673500
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``673583
oleadingTerm`1`x`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``673752
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`(_$)->Boolean`dSubSpace(n,R)``673844
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``673881
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``673942
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``674197
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``674528
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``674645
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``674779
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``674992
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``675205
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``675363
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``675731
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``676099
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``676400
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`676595
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`676790
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``677031
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`677155
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`677279
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``677387
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``677624
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``677668
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`677904
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``678140
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`678338
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`678537
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``678771
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``678897
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`678995
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`679052
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``679109
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``679291
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``679473
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`679661
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`679849
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``679945
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`680184
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``680423
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`680581
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``680794
oleftReducedSystem`1`x`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``680976
oleftReducedSystem`2`x`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``681239
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``681519
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)``681691
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``681888
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`682077
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``682266
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``682456
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``682738
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``683020
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``683228
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``683321
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``683489
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`683668
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)``683793
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`683916
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`684040
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``684097
oleft`1`n`(_$)->_$`dMagma(VarSet)``684253
oleft`1`n`(_$)->_$`dOutputForm``684404
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``684471
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``684545
oleft`2`n`(_$,Integer)->_$`dOutputForm``684591
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`684676
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``684842
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``685118
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``685469
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``685580
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``685636
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``685728
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``685801
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``685884
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``685967
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`686074
olength`1`x`(_$)->_$`cIntegerNumberSystem``686177
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``686231
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``686265
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``686367
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``686443
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``686641
olevel`1`x`(_$)->Integer`dExitAst``686778
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``686839
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``687058
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``687244
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``687643
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``687710
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``687919
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``688261
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``688428
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``688587
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``688819
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``688949
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``689020
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``689239
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``689462
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``689517
olhs`1`x`(_$)->S`dEquation(S)``689587
olhs`1`x`(_$)->SpadAst`dCaseAst``689661
olhs`1`x`(_$)->SpadAst`dColonAst``689737
olhs`1`x`(_$)->SpadAst`dHasAst``689814
olhs`1`x`(_$)->SpadAst`dIsAst``689889
olhs`1`x`(_$)->SpadAst`dLetAst``689963
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``690045
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``690098
olibrary`1`x`(FileName)->_$`dLibrary``690220
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``690274
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``690481
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``690688
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``691004
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``691320
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``691412
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``691448
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``691550
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)``691588
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)``691623
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)``691685
olight`1`x`(Color)->_$`dPalette``691741
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``691826
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``692087
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``692159
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)``692233
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)``692314
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)``692438
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``692562
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``692751
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)``693016
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)``693261
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``693492
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``693530
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``693681
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``693785
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``693911
olinear?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``694063
olinear?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``694136
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`694237
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`694902
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`695055
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`695291
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``695446
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``695667
olinearElement`1`x`(List(K))->_$`dLinearElement(K,B)``695877
olinearForm`1`x`(List(K))->_$`dLinearForm(K,B)``696035
olinearMatrix`2`x`(List(Expression(DoubleFloat)),NonNegativeInteger)->Matrix(DoubleFloat)`pe04AgentsPackage``696186
olinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``696353
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``696439
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``696603
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``696641
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``696681
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``696830
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``696988
olinefeed`0`x`()->_$`dCharacter``697167
olinkToFortran`4`x`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``697226
olinkToFortran`4`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``697280
olinkToFortran`5`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``697335
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``697392
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``697454
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``697535
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``697651
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)``697767
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``698004
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``698121
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``698210
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``698299
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``698375
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``698457
olistYoungTableaus`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``698825
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``699298
olist`1`x`(_$)->List(_$)`dSymbol``699362
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``699466
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``699502
olittleEndian`0`n`()->_$`dByteOrder``699571
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``699627
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``699897
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``700155
olo`1`x`(_$)->S`cSegmentCategory(S)``700411
oloadNativeModule`1`n`(String)->Void`dSystem``700498
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``700596
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``700791
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``700986
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``701829
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``702678
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``703519
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``704368
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``704428
olog10`0`x`()->_$`dFloat``704482
olog10`1`x`(_$)->_$`dDoubleFloat``704550
olog10`1`x`(_$)->_$`dFloat``704623
olog10`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``704694
olog2`0`x`()->_$`dFloat``704772
olog2`1`x`(_$)->_$`dDoubleFloat``704858
olog2`1`x`(_$)->_$`dFloat``704929
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``704998
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``705122
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``705246
olog`1`n`(F)->F`pElementaryFunction(R,F)``705333
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``705397
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``705541
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``705599
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``705657
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``705728
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``705801
olog`1`x`(_$)->_$`cElementaryFunctionCategory``705873
olog`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``705937
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``706004
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`706124
ological?`1`x`(_$)->Boolean`dFortranScalarType``706248
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``706340
olookupFunction`1`n`(_$)->Identifier`dFunctorData``706420
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``706534
olookup`1`x`(_$)->PositiveInteger`cFinite``706608
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``706696
olow`1`x`(_$)->S`cSegmentCategory(S)``707170
olowerBound`1`x`(_$)->SpadAst`dStepAst``707259
olowerCase!`1`x`(_$)->_$`cStringAggregate``707360
olowerCase?`1`x`(_$)->Boolean`dCharacter``707464
olowerCase`0`x`()->_$`dCharacterClass``707575
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``707699
olowerCase`1`x`(_$)->_$`dCharacter``707780
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``707951
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``708103
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``708399
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``708601
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``708683
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``708875
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``708989
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``709079
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``709160
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``709254
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``709330
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``709412
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`dCompilerPackage``709539
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`709686
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``709789
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``709900
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`710237
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``710470
omainExpression`1`x`(_$)->SpadAst`dWhereAst``710597
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``710688
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``710778
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``710939
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``711199
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`711523
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`711769
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``712018
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``712142
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``712282
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``712441
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``712600
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``712800
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``712946
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``713032
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``713069
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``713193
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``713300
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``713396
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``713652
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``713975
omakeGraphImage`1`n`(_$)->_$`dGraphImage``714333
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``714737
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``715315
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``715953
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716037
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716299
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``716561
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716867
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``717198
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``717454
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``717731
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``718044
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``718375
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``718787
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``719133
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``719534
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``719896
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``720271
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``720682
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``721116
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``721613
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``721768
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``721851
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``721978
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``722096
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``722182
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``723075
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``723208
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``723275
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`723590
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``723911
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``724051
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``724273
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``724606
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``724832
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``725165
omakeYoungTableau`2`x`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``725407
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``725682
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``725735
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``725777
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``725867
omantissa`1`x`(_$)->Integer`dMachineFloat``725932
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``725991
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`726076
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``726188
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``726293
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``726377
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``726805
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``727383
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``727468
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``727553
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``727638
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``727764
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``727847
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``727930
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``728013
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``728096
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``728265
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``728307
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``728470
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``728572
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``728674
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``728996
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)``729474
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``729580
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)``729619
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``729711
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``729820
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``729916
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``730045
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`((S)->T,PropositionalFormula(S))->PropositionalFormula(T)`dPropositionalFormulaFunctions2(S,T)``730139
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``730298
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``730335
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``730482
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``730622
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`dInfiniteTupleFunctions2(A,B)``730746
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``730821
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``730987
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``731171
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``731308
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``731480
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``731591
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``731784
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``731924
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``732083
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``732120
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``732157
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``732194
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``732313
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``732419
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``732525
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``732564
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``732659
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)``732697
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``732736
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``732775
omap`2`x`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``732884
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``733007
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``733100
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``733202
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``733297
omap`2`x`((R)->R,_$)->_$`dFactored(R)``733393
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``733667
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``733764
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``733955
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``734035
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``734120
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``734392
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``734569
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``734657
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``734771
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``734942
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``734980
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``735267
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``735389
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``735534
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`735624
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``735845
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``735912
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``735988
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``736121
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`736254
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``736342
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``736453
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``736533
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``736572
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``736611
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``736704
omap`2`x`((R1)->R2,Matrix(R1))->Matrix(R2)`pExpertSystemToolsPackage2(R1,R2)``736797
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``736931
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``736968
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``737061
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``737221
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``737380
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``737476
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``737691
omap`2`x`((S)->S,_$)->_$`dEquation(S)``737901
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``738002
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``738082
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``738208
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``738299
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``738436
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``738741
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``738780
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``738819
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``739230
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``739269
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``739500
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``739742
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``739859
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``739995
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``740099
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``740406
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``740574
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`740880
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``740957
omappingAst`2`x`(List(TypeAst),TypeAst)->_$`dMappingAst``741035
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``741109
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``741224
omat`2`x`(List(DoubleFloat),NonNegativeInteger)->Matrix(DoubleFloat)`pExpertSystemToolsPackage``741292
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``741357
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``741542
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``741922
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``742290
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``742647
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``743018
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``743543
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``743926
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``744294
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``744384
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``744606
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``744696
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``744915
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``745005
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``745225
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``745315
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``745535
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``745625
omatrixConcat3D`3`x`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``745845
omatrixDimensions`1`x`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``745941
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``746010
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``746173
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``746283
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``746429
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``746575
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``746659
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``746774
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``746866
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`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`746956
omaxPoints3D`0`n`()->Integer`dPlot3D``747207
omaxPoints`0`n`()->Integer`dPlot``747283
omaxPoints`0`x`()->Integer`pGraphicsDefaults``747356
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``747430
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``747501
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``747590
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`747677
omax`0`x`()->_$`cOrderedFinite``747740
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`747786
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``747858
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedType``747935
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``748029
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``748187
omaximumExponent`0`x`()->Integer`dMachineFloat``748273
omaximumExponent`1`x`(Integer)->Integer`dMachineFloat``748347
omaxint`0`x`()->PositiveInteger`dMachineInteger``748431
omaxint`1`x`(PositiveInteger)->PositiveInteger`dMachineInteger``748495
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)``748569
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)``748651
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``748715
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String)))->Result`pExpertSystemToolsPackage``748954
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String),extra:Result))->Result`pExpertSystemToolsPackage``749038
omeasure`1`x`(NumericalIntegrationProblem)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``749122
omeasure`1`x`(NumericalODEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``749572
omeasure`1`x`(NumericalOptimizationProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``750303
omeasure`1`x`(NumericalPDEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``750924
omeasure`2`x`(NumericalIntegrationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``751654
omeasure`2`x`(NumericalODEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``752175
omeasure`2`x`(NumericalOptimizationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``752935
omeasure`2`x`(NumericalPDEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``753585
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``754344
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``754879
omeasure`2`x`(RoutinesTable,Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``755400
omeasure`2`x`(RoutinesTable,Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Record(measure:Float,explanations:String)`cPartialDifferentialEquationsSolverCategory``755935
omeasure`2`x`(RoutinesTable,Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``756456
omeasure`2`x`(RoutinesTable,Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String)`cOrdinaryDifferentialEquationsSolverCategory``756977
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`757498
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`758522
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`758901
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`759074
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``760133
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``760240
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``760819
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),_$)->Boolean`dPermutationGroup(S)``760921
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`761040
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``761228
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`761383
omembers`1`x`(_$)->List(S)`dMultiset(S)``761579
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`761709
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``761798
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``761924
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``762021
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``762203
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``762523
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``762602
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`(_$,_$)->_$`dSubSpace(n,R)``762787
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`762876
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``763026
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``763154
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,_$,_$)->_$`cFiniteLinearAggregate(S)``763329
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``763956
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``764170
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``764223
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``764277
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``764328
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``764382
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``764439
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``764650
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``764912
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``765638
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``766529
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``767063
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``767828
omessagePrint`1`n`(String)->Void`dOutputForm``768191
omessage`1`n`(String)->_$`dOutputForm``768331
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``768416
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``768488
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``768565
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``768670
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``768775
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``768868
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``768959
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`768997
ominPoints3D`0`n`()->Integer`dPlot3D``769213
ominPoints`0`n`()->Integer`dPlot``769289
ominPoints`0`x`()->Integer`pGraphicsDefaults``769362
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``769436
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``769507
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``769542
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`769577
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`769647
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``769716
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``769806
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`769894
omin`0`x`()->_$`cOrderedFinite``769957
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`770003
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``770076
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedType``770160
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``770254
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``770331
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``770489
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)``770585
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``770704
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`770825
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`770904
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``771061
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``771137
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``771260
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``771405
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``771549
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``771698
ominimumExponent`0`x`()->Integer`dMachineFloat``771868
ominimumExponent`1`x`(Integer)->Integer`dMachineFloat``771942
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``772026
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`772150
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`772274
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``772362
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``772444
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``772593
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``772742
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``772941
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``772994
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``773043
omirror`1`n`(_$)->_$`dMagma(VarSet)``773141
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``773406
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``773469
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``773583
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``773683
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``773718
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``773880
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`774135
omkcomm`1`x`(Integer)->_$`dCommutator``774254
omkcomm`2`x`(_$,_$)->_$`dCommutator``774294
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``774336
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``774379
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``774642
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``774874
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``775372
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``775838
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``776149
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``776647
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``776772
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)``776881
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`777716
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``777792
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``777886
omodulus`0`n`()->Rep`dModMonic(R,Rep)``777949
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``777987
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``778042
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``778081
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``778120
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``778159
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``778435
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``778503
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``778606
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``778819
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``779012
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``779154
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)``779333
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`779578
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`779802
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``780072
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``780296
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`780448
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`780674
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``780946
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)``781205
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)``781528
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``781895
omonom`2`x`(Basis,R)->_$`cFreeModuleCat(R,Basis)``781990
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``782109
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``782204
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``782271
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``782312
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``782379
omonomial?`1`x`(_$)->Boolean`cFreeModuleCat(R,Basis)``782446
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``782533
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``782606
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``782768
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)->_$`dLaurentPolynomial(R,UP)``782984
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``783026
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``783111
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``783153
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``783261
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``783362
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``783457
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``783583
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)``783709
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``783799
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``783895
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``783970
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``784024
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``784076
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``784237
omonomials`1`x`(_$)->List(_$)`cFreeModuleCat(R,Basis)``784319
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``784404
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`784582
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``784789
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``784868
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``785147
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``785426
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``785507
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``785587
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``785713
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``785959
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``786209
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)``786378
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``786553
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``786629
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``786674
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``786728
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``786931
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``787134
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``787337
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``787540
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``787743
omultiple?`1`n`(_$)->Boolean`dPattern(R)``787852
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``787997
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``788303
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``788573
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``788734
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``788944
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``789162
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``789295
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``789463
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``789588
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``789706
omultiset`0`x`()->_$`dMultiset(S)``789847
omultiset`1`x`(List(S))->_$`dMultiset(S)``789928
omultiset`1`x`(S)->_$`dMultiset(S)``790004
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``790074
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``790175
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``790276
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``790408
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``790540
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``790588
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``790689
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``790828
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``791051
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``791204
oname`1`n`(_$)->Identifier`dOverloadSet``791243
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``791312
oname`1`n`(_$)->Symbol`dRuleCalled(f)``791353
oname`1`x`(_$)->Identifier`dBinding``791394
oname`1`x`(_$)->Identifier`dHeadAst``791453
oname`1`x`(_$)->Identifier`dProperty``791526
oname`1`x`(_$)->Identifier`dSignatureAst``791586
oname`1`x`(_$)->Name`cFileCategory(Name,S)``791647
oname`1`x`(_$)->S`cOperatorCategory(S)``791717
oname`1`x`(_$)->SpadAst`dAttributeAst``791780
oname`1`x`(_$)->String`cFileNameCategory``791905
oname`1`x`(_$)->_$`dSymbol``791967
onan?`1`x`(_$)->Boolean`dDoubleFloat``792027
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``792127
onand`2`x`(_$,_$)->_$`dBoolean``792232
onary?`1`x`(_$)->Boolean`dBasicOperator``792311
onativeModuleExtension`0`n`()->String`dSystem``792375
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``792482
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``792559
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``792634
onegative?`1`x`(_$)->Boolean`cOrderedAbelianGroup``792765
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``792835
oneglist`1`x`(List(R1))->List(R1)`pExpertSystemToolsPackage1(R1)``792937
onewLine`0`x`()->String`pDisplayPackage``793018
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``793078
onewSubProgram`1`x`(Symbol)->Void`dTheSymbolTable``793117
onewTypeLists`1`x`(_$)->SExpression`dSymbolTable``793224
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``793268
onew`0`n`()->_$`dPatternMatchResult(R,S)``793322
onew`0`n`()->_$`dSubSpace(n,R)``793376
onew`0`n`()->_$`dSubSpaceComponentProperty``793410
onew`0`x`()->_$`dDataArray(N,T)``793444
onew`0`x`()->_$`dSymbol``793523
onew`0`x`()->_$`dTexFormat``793591
onew`1`x`(R)->_$`dSquareMatrix(ndim,R)``793762
onew`1`x`(_$)->_$`dSymbol``793896
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``793973
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``794044
onew`3`x`(String,String,String)->_$`cFileNameCategory``794136
onewline`0`x`()->_$`dCharacter``794448
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``794505
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``794826
onextItem`1`n`(A)->Maybe(A)`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Maybe(S)`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Maybe(S)`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Maybe(_$)`cStepThrough``795533
onextLatticePermutation`3`x`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``795625
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``796063
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``796899
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``797893
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``798285
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``798677
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``798761
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``799822
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``800646
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``800739
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``801783
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``802009
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`802242
onil?`1`x`(_$)->Boolean`dSyntax``802494
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``802574
onil`0`x`()->_$`dList(S)``802726
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`802763
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``803035
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``803125
onoValueMode`0`n`()->_$`dInternalTypeForm``803368
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)`803478
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``803607
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``803720
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)``803859
ononLinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``803940
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``804033
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``804073
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`804200
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``804327
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``804428
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``804529
onor`2`x`(_$,_$)->_$`dBoolean``804632
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``804709
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``804750
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``804793
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)``804900
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``805031
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``805093
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``805156
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``805274
onorm`1`x`(_$)->R`cComplexCategory(R)``805416
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``805477
onorm`1`x`(_$)->R`cOctonionCategory(R)``805592
onorm`1`x`(_$)->R`cQuaternionCategory(R)``805702
onorm`1`x`(_$)->_$`cRealNumberSystem``805798
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``805855
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``805983
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``806112
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``806184
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``806279
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``806413
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``806548
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``806676
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``806805
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``806939
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`807074
onormal01`0`n`()->Float`pRandomFloatDistributions``807361
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``807400
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``807565
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`807664
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``807947
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``808080
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`808179
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``808627
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`808738
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``808911
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``809151
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``809191
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``809356
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``809428
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``809539
onormalize`1`x`(_$)->_$`dFloat``809659
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``809728
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``809870
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``809976
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``810176
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``810386
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``810541
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``810725
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``811049
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`811249
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``811449
onot`1`x`(_$)->_$`cBooleanLogic``811505
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``811573
onothing`0`x`()->_$`dMaybe(T)``811656
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``811718
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``811753
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``811827
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``811899
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``811937
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``812019
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``812103
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``812187
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``812271
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``812485
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``812568
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``812651
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``812734
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``813013
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``813092
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``813314
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``813481
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``813592
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``813882
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``813950
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``814006
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`814087
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`814173
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`814259
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`814345
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`814431
onull`1`x`(_$)->Boolean`dList(S)``814518
onullary?`1`x`(_$)->Boolean`dBasicOperator``814582
onullary`1`x`(A)->()->A`pMappingPackage1(A)``814640
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``814724
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`814857
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`814990
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`815123
onumFunEvals3D`0`n`()->Integer`dPlot3D``815256
onumFunEvals`0`n`()->Integer`dPlot``815325
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`815391
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``815446
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``815494
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``815586
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``815678
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``815873
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``816339
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``816518
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``816620
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``816813
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``817102
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``817188
onumberOfHues`0`x`()->PositiveInteger`dColor``817329
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``817412
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``817850
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``818016
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``818127
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``818225
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``818305
onumberOfOperations`1`x`(Vector(Expression(DoubleFloat)))->Record(additions:Integer,multiplications:Integer,exponentiations:Integer,functionCalls:Integer)`pExpertSystemToolsPackage``818444
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``818589
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`(_$)->A`dLocalAlgebra(A,R,S)``818734
onumer`1`n`(_$)->M`dLocalize(M,R,S)``818791
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``818848
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``818958
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``819030
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``819101
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`819211
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)`819450
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``819528
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``819614
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`819812
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`819937
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`820062
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`820187
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`820345
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`820502
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`820659
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`820726
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`820793
onumeric`1`x`(S)->Float`pNumeric(S)``820860
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`820927
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`821027
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`821126
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``821225
onumericalIntegration`2`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``821325
onumericalIntegration`2`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``821474
onumericalOptimization`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Result`cNumericalOptimizationCategory``821623
onumericalOptimization`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Result`cNumericalOptimizationCategory``821768
oobj`1`x`(_$)->None`dAny``821913
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``822065
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``822296
oocf2ocdf`1`x`(OrderedCompletion(Float))->OrderedCompletion(DoubleFloat)`pExpertSystemToolsPackage``822609
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``822747
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``822855
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`822937
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``823004
oodd?`1`x`(_$)->Boolean`dPermutation(S)``823078
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``823211
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``823354
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``823497
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``823640
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``823783
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``823844
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``824170
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``824544
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``824631
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``824749
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``824883
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`(_$)->Boolean`cMonadWithUnit``824948
oone?`1`x`(_$)->Boolean`cMonoid``825008
oone?`1`x`(_$)->Boolean`dArity``825063
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``825136
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``825242
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``825329
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``825426
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``825499
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``825574
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``825638
ooperation`1`x`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``825752
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`x`(_$)->List(OverloadSet)`cConstructorCategory``825838
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``826001
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``826233
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``826403
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``826493
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``826665
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``826744
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``826856
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``827034
ooperator`1`n`(_$)->SpadAst`dReduceAst``827097
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``827166
ooperator`1`x`(Symbol)->_$`dBasicOperator``827278
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``827358
ooperator`2`x`(Symbol,Arity)->_$`dBasicOperator``827446
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``827526
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``827601
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``827718
ooptAttributes`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->List(String)`pe04AgentsPackage``827771
ooptimize`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``827879
ooptimize`2`x`(Expression(Float),List(Float))->Result`pAnnaNumericalOptimizationPackage``828265
ooptimize`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``828762
ooptimize`2`x`(NumericalOptimizationProblem,RoutinesTable)->Result`pAnnaNumericalOptimizationPackage``829311
ooptimize`4`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``829750
ooptimize`5`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(Expression(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``830353
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``831327
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``831528
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``831714
ooptional?`1`n`(_$)->Boolean`dPattern(R)``831857
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``831961
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``832135
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``832274
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``832502
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``832731
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``833016
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``833299
oor`2`n`(_$,_$)->_$`dOutputForm``833413
oor`2`x`(_$,_$)->_$`cBooleanLogic``833469
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``833540
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``833745
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``833932
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``834120
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``834223
oord`1`x`(_$)->NonNegativeInteger`dCharacter``834358
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)``834499
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``834536
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``834573
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``834610
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``834647
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``834803
oorder`1`x`(_$)->Integer`cFloatingPointSystem``834959
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``835081
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``835287
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``835404
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``835500
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``835587
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``835652
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``835775
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``835911
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``835995
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``836110
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``836233
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`836385
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``836551
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``836592
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``836653
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`836818
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``836953
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``837355
ooutputAsFortran`0`x`()->Void`dAsp12(name)``837481
ooutputAsFortran`0`x`()->Void`dAsp29(name)``837562
ooutputAsFortran`0`x`()->Void`dAsp33(name)``837643
ooutputAsFortran`1`x`(FileName)->Void`pFortranPackage``837724
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``837774
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``837944
ooutputAsFortran`1`x`(_$)->Void`cFortranProgramCategory``838018
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``838120
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``838269
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``838457
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``838609
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``838770
ooutputBinaryFile`1`x`(FileName)->_$`dOutputBinaryFile``838894
ooutputBinaryFile`1`x`(String)->_$`dOutputBinaryFile``839014
ooutputFixed`0`x`()->Void`dFloat``839134
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``839249
ooutputFloating`0`x`()->Void`dFloat``839382
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``839565
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``839720
ooutputForm`1`n`(Integer)->_$`dOutputForm``839792
ooutputForm`1`n`(String)->_$`dOutputForm``839858
ooutputForm`1`n`(Symbol)->_$`dOutputForm``839923
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``839988
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``840168
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``840288
ooutputGeneral`0`x`()->Void`dFloat``840873
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``841064
ooutputList`1`x`(List(Any))->Void`pOutputPackage``841180
ooutputMeasure`1`x`(Float)->String`pExpertSystemToolsPackage``841383
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``841477
ooutput`0`n`()->_$`dIOMode``841617
ooutput`1`x`(OutputForm)->Void`pOutputPackage``841681
ooutput`1`x`(String)->Void`pOutputPackage``841822
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`841958
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``842048
oover`2`n`(_$,_$)->_$`dOutputForm``842216
ooverbar`1`n`(_$)->_$`dOutputForm``842308
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``842376
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``842462
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``842659
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``842799
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``842885
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``842973
opack!`1`x`(_$)->_$`dLibrary``843059
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``843145
opackage`0`n`()->_$`dConstructorKind``843234
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``843288
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``843508
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``843811
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``844114
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``844429
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``844696
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``844824
opair`2`x`(S,T)->_$`dPair(S,T)``844903
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))`844974
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))`845154
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))`845389
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)``845517
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)``845976
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``846494
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``846894
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)``847147
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``847564
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``847772
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``847972
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``848144
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``848447
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``848571
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)``848719
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)``849071
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)``849485
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``849767
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``850011
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``850218
oparametersOf`1`x`(_$)->List(Symbol)`dSymbolTable``850473
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``850562
oparameters`1`x`(_$)->List(ParameterAst)`dHeadAst``850635
oparametric?`1`n`(_$)->Boolean`dPlot``850724
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``850794
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``850922
oparen`1`x`(List(_$))->_$`cExpressionSpace``850997
oparen`1`x`(_$)->_$`cExpressionSpace``851280
oparent`1`n`(_$)->_$`dSubSpace(n,R)``851503
oparents`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``851686
oparseString`1`n`(String)->_$`dInputForm``851789
oparse`1`x`(String)->List(Syntax)`pSpadParser``851868
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``852198
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``852332
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``852553
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``852704
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``852867
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``853099
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``853314
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``853537
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``853587
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``853689
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``853791
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``854110
opartition`1`x`(List(PositiveInteger))->_$`dPartition``854291
opartitions`1`x`(NonNegativeInteger)->Stream(_$)`dPartition``854372
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(PositiveInteger)`dPartition``854454
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``854558
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`854643
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``854837
opastel`1`x`(Color)->_$`dPalette``854984
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)``855080
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)``855335
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`855649
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``855850
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``856041
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``856223
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``856415
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`856594
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``856779
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)``856966
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``857183
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``857488
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``857745
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``858126
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``858317
opdct`1`x`(_$)->PositiveInteger`dPartition``858420
opdf2df`1`x`(Polynomial(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``858573
opdf2ef`1`x`(Polynomial(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``858740
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``858841
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``858959
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``859122
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``859262
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``859390
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``859501
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``860746
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``860858
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``861042
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``861278
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``861487
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``861640
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``861798
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``861944
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``862100
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``862206
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``862459
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``862715
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``862832
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``862934
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`x`()->_$`cTranscendentalFunctionCategory``862984
opi`0`x`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``863035
opi`0`x`()->_$`dPi``863169
opile`1`n`(List(_$))->_$`dOutputForm``863222
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``863422
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``863574
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``863954
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``864415
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``864632
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``864849
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``864966
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``865082
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865170
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``865299
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``865337
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``865375
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865517
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865666
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``865856
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``865935
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``866056
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``866232
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``866476
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``866530
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``866720
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``866772
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``866820
oplus`2`x`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`866938
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``867036
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`867161
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`867372
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`867498
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``867653
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``867726
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``867890
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``867978
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``868088
opointColor`1`x`(Float)->_$`dDrawOption``868314
opointColor`1`x`(Palette)->_$`dDrawOption``868457
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``868628
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``868748
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``868896
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``869077
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``869238
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``869501
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``869550
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``869640
opoint`1`x`(List(R))->_$`cPointCategory(R)``869740
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``869853
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``869973
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``870153
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``870403
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``870565
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``870807
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``871145
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``871384
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``871648
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``871687
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``872161
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`872269
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``872384
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``872596
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``872735
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``872810
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)``872877
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``873427
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``873804
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``874195
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``874288
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``874370
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``874452
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``874586
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``874736
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``874915
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``875144
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``875500
opolynomialZeros`3`x`(Polynomial(Fraction(Integer)),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``875660
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``875900
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``876021
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``876142
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``876290
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``876438
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``876477
opop!`1`x`(_$)->S`cStackAggregate(S)``876634
opopFortranOutputStack`0`x`()->Void`pFortranOutputStackPackage``876854
oport`1`x`(SingleInteger)->_$`dPortNumber``876922
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``876990
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``877066
oposition`1`x`(_$)->SingleInteger`dInputBinaryFile``877145
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,_$)->Integer`cFiniteLinearAggregate(S)``877222
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`877425
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,_$,Integer)->Integer`cStringAggregate``877582
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`877722
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``877924
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``878080
opositive?`1`x`(_$)->Boolean`cOrderedAbelianMonoid``878211
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``878284
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``878386
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``878509
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``878599
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``878725
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``878815
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``879661
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``879875
opostfix`2`n`(_$,_$)->_$`dOutputForm``880031
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``880105
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``880139
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``880413
opowerSum`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``880519
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`880607
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`880696
opowers`1`x`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``880774
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``880929
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``881006
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``881185
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``881354
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``881413
oprecision`0`x`()->PositiveInteger`dMachineFloat``881477
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`881545
oprecision`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``881630
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``881708
opredicate`1`x`(_$)->SpadAst`dSuchThatAst``881861
opredicates`1`n`(_$)->List(Any)`dPattern(R)``881967
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``882096
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``882328
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``882543
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``882690
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``882870
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``883040
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``883167
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``883294
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``883416
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``883532
opresub`2`n`(_$,_$)->_$`dOutputForm``883648
opresuper`2`n`(_$,_$)->_$`dOutputForm``883730
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``883816
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``883900
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`884087
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`884213
oprimaryDecomp`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``884386
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``884502
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``884576
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``885707
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``885769
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``885933
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``886081
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``886173
oprime`1`n`(_$)->_$`dOutputForm``886270
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``886362
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``886442
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``886530
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``886876
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``887121
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``887327
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``887527
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``887676
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``887913
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``888113
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``888363
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`888752
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``889082
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``889474
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``889816
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`890011
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`890100
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``890223
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`890346
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`890470
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`890601
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`890798
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``890962
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``891155
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``891511
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``891545
oprincipalAncestors`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``891625
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``891754
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``891972
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``892010
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``892050
oprintCode`1`x`(_$)->Void`dFortranCode``892089
oprintHeader`0`x`()->Void`dTheSymbolTable``892157
oprintHeader`1`x`(Symbol)->Void`dTheSymbolTable``892305
oprintHeader`2`x`(Symbol,_$)->Void`dTheSymbolTable``892451
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``892601
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`x`(List(OutputForm))->_$`dFortranCode``892846
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``892925
oprintTypes`1`x`(Symbol)->Void`dTheSymbolTable``892977
oprintTypes`1`x`(_$)->Void`dSymbolTable``893098
oprint`1`n`(_$)->Void`dOutputForm``893219
oprint`1`x`(OutputForm)->Void`pPrintPackage``893268
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``893379
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``893500
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``893676
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pd01AgentsPackage``893890
oprocessTemplate`1`x`(FileName)->FileName`dFortranTemplate``894094
oprocessTemplate`2`x`(FileName,FileName)->FileName`dFortranTemplate``894221
oprod`1`n`(_$)->_$`dOutputForm``894331
oprod`2`n`(_$,_$)->_$`dOutputForm``894419
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``894543
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``894705
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``894811
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``894958
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``895064
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``895211
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``895643
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``895906
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``896016
oprologue`1`x`(_$)->List(String)`dTexFormat``896332
oproperties`1`x`(_$)->AssociationList(String,None)`dBasicOperator``896412
oproperties`1`x`(_$)->List(Property)`dBinding``896513
oproperty`2`x`(Identifier,SExpression)->_$`dProperty``896598
oproperty`2`x`(_$,Identifier)->Maybe(None)`dBasicOperator``896681
oproperty`2`x`(_$,String)->Union(None,"failed")`dBasicOperator``896810
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)``896937
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`897053
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``897246
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`897494
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``897686
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)``897923
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)``898052
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)``898202
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)``898353
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``898494
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)``898721
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``898885
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)``899121
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``899286
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``899523
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``899722
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``899965
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``900216
optree`1`x`(S)->_$`dPendantTree(S)``900309
optree`2`x`(_$,_$)->_$`dPendantTree(S)``900356
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``900395
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``900578
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``900648
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``900760
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``901002
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``901055
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``901223
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``901445
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``901659
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``901796
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``902137
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``902277
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``902473
opush!`2`x`(S,_$)->S`cStackAggregate(S)``902621
opushFortranOutputStack`1`x`(FileName)->Void`pFortranOutputStackPackage``902883
opushFortranOutputStack`1`x`(String)->Void`pFortranOutputStackPackage``902969
opushNewContour`2`x`(Binding,_$)->_$`dScope``903055
opush`2`x`(Binding,_$)->_$`dContour``903132
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``903195
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``903240
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``903284
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``903434
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``903587
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``903735
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``903871
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``903914
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``903956
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``904114
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``904318
oputProperties`3`x`(Identifier,List(Property),_$)->_$`dEnvironment``904730
oputProperty`4`x`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``904837
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``904950
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``905167
oqelt`2`x`(_$,NonNegativeInteger)->T`dDataArray(N,T)``905536
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``905635
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``905829
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``906001
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``906113
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``906253
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``906299
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`906390
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``906642
oqsetelt`3`x`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``906819
oquadratic?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``906939
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``907018
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``907118
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``907204
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``907245
oqualifier`1`x`(_$)->SpadAst`dWhereAst``907290
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``907362
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``907401
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``907448
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``907642
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``907799
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``908014
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``908196
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``908277
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``908358
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``908429
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``908500
oqueue`1`x`(List(S))->_$`dQueue(S)``908569
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``908723
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``908846
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``909115
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``909172
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``909281
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``909390
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``909499
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``909608
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``909717
oquote`0`x`()->_$`dCharacter``909814
oquote`1`n`(_$)->_$`dOutputForm``909883
oquoted?`1`n`(_$)->Boolean`dPattern(R)``909953
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``910037
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``910264
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``910339
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``910490
orCoord`1`n`(Point(R))->R`pPointPackage(R)``910593
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``910864
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``910989
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``911143
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``911341
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``911522
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``911760
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``911912
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)``912090
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``912408
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``912605
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``912771
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``912982
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``913173
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``913342
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``913535
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``913732
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)``913963
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``914031
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``914113
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``914275
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``914342
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``914412
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``914479
orandnum`0`x`()->Integer`pRandomNumberSource``914575
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``914640
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``914708
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``914769
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``914825
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``914885
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`x`()->_$`cFinite``914947
orandom`0`x`()->_$`cIntegerNumberSystem``915009
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`915058
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``915108
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``915231
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``915315
orandom`1`x`(_$)->_$`cIntegerNumberSystem``915451
orandom`1`x`(_$)->_$`dNonNegativeInteger``915522
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``915593
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``915760
orangeIsFinite`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")`pd01AgentsPackage``915866
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``915966
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``916046
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``916165
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``916290
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``916415
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``916569
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``916701
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``916905
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``917136
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``917190
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``917263
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`917326
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`917389
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`917452
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``917515
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``917658
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``917772
orarrow`2`n`(_$,_$)->_$`dOutputForm``917886
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``917958
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``918096
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``918212
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``918338
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``918456
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``918761
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``918987
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``919292
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``919518
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)``919646
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`919753
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``919820
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`919921
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`920037
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`920233
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`920353
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`920427
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``920501
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``920637
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``920773
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``920951
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`921127
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`921261
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``921422
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`921541
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``921663
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`921768
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`921883
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`922108
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`922218
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`922330
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``922443
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``922521
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``922599
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`922682
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``922765
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``922863
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`922972
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``923082
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`923170
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`923290
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`923501
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`923661
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`923778
oratpart`1`n`(_$)->F`dIntegrationResult(F)``923893
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``923970
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``924091
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)``924134
oread!`1`x`(_$)->S`cFileCategory(Name,S)``924207
oreadByte!`1`x`(_$)->Maybe(Byte)`cInputByteConduit``924371
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``924521
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``924710
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``924905
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`x`(_$)->Maybe(Int16)`cInputByteConduit``925118
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`x`(_$)->Maybe(Int32)`cInputByteConduit``925280
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`x`(_$)->Maybe(Int8)`cInputByteConduit``925442
oreadLine!`1`x`(_$)->String`dTextFile``925602
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``925696
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`x`(_$)->Maybe(UInt16)`cInputByteConduit``925913
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`x`(_$)->Maybe(UInt32)`cInputByteConduit``926076
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`x`(_$)->Maybe(UInt8)`cInputByteConduit``926239
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``926400
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``926491
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``926556
oreal?`1`x`(_$)->Boolean`dFortranScalarType``926621
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``926707
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``926934
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``927231
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``927381
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``927567
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``927684
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``928005
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``928092
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``928372
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``928466
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``928678
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``928780
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``929679
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``929810
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``929941
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``930100
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``930259
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``930453
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``930647
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``930872
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``931097
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``931191
oreal`1`x`(_$)->R`cComplexCategory(R)``931285
oreal`1`x`(_$)->R`cOctonionCategory(R)``931338
oreal`1`x`(_$)->R`cQuaternionCategory(R)``931401
orecip`0`n`()->_$`dMoebiusTransform(F)``931470
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``931568
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``931671
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``931708
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``931745
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`931789
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``932015
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``932210
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``932350
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``932464
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``932660
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``932752
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``932922
orecoverAfterFail`3`x`(_$,String,Integer)->Union(String,"failed")`dRoutinesTable``933020
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``933130
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``933255
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``933366
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``933427
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``933461
ored`0`x`()->_$`dColor``933496
ored`1`x`(_$)->T`cRGBColorModel(T)``933569
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``933626
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)``933763
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``933877
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``934037
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``934166
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``934509
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)->_$`dModMonic(R,Rep)``934596
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``934634
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``934674
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`934803
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``934887
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``935040
oreduce`1`x`(_$)->_$`dAlgebraicNumber``935171
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`935300
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``935432
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``935472
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``935512
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`935552
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)``935966
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``936136
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``936493
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``936829
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``937159
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``937329
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``937456
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``937589
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``937913
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`938229
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``938668
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,_$,S,S)->S`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`938870
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``939302
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``939994
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``940143
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``940258
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``940529
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``940825
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``940877
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``941113
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``941276
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)``941414
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``941577
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``941738
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``941846
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)``941937
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``942122
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``942303
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``942343
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`942383
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``942449
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``942558
oreductum`1`x`(_$)->_$`cFreeModuleCat(R,Basis)``942669
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``942736
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``942903
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``943021
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``943139
oref`1`n`(S)->_$`dReference(S)``943309
orefine`1`n`(_$)->_$`dPlot3D``943384
orefine`1`n`(_$)->_$`dPlot``943422
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``943489
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``943572
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``943976
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``944018
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``944058
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``944098
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``944277
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``944456
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``944760
oreflect`1`x`(ConstructorCall(DomainConstructor))->_$`dDomain``945064
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)``945248
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``946094
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``946370
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)``946522
oreify`1`x`(_$)->ConstructorCall(DomainConstructor)`dDomain``946694
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``946765
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`947013
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``947125
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``947263
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``947404
orelerror`2`x`(_$,_$)->Integer`dFloat``947536
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``947652
orem`2`x`(_$,_$)->_$`cEuclideanDomain``947709
orem`2`x`(_$,_$)->_$`cEuclideanDomain``947819
orem`2`x`(_$,_$)->_$`cEuclideanDomain``947929
orem`2`x`(_$,_$)->_$`cEuclideanDomain``948039
orem`2`x`(_$,_$)->_$`cEuclideanDomain``948149
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``948259
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`948329
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``948674
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`948746
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``948902
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``949038
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`949242
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`949383
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``949467
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``949762
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`950009
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``950119
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``950298
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`950481
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``950564
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(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`950666
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`950756
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`951055
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`951426
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``951777
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``952492
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``952788
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``953099
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``953232
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`953449
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``953815
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``953967
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``954277
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``954566
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``954745
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``954928
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``955114
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``955220
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``955326
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``955508
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``955690
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``955997
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``956561
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``957100
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``957212
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)``957676
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`957899
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``958143
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`958337
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``958550
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``958830
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``959062
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``959146
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``959224
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``959412
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``959554
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``959696
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``959838
orepeatUntilLoop`2`x`(Switch,_$)->_$`dFortranCode``959969
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`960048
orepeating`1`x`(List(S))->_$`dStream(S)``960183
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``960267
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``960455
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``960579
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``960736
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``960875
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``961016
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)``961181
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``961265
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``961374
oreseed`1`x`(Integer)->Void`pRandomNumberSource``961470
oresetAttributeButtons`0`x`()->Void`dAttributeButtons``961544
oresetBadValues`1`n`(_$)->_$`dPattern(R)``961632
oresetNew`0`x`()->Void`dSymbol``961792
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``961919
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``962043
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``962259
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``962479
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``962520
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``962640
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``962885
oresolve`1`x`(Hostname)->Maybe(_$)`dIP4Address``963134
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orest`1`n`(_$)->_$`dMagma(VarSet)``963203
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``963361
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``963425
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orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``963668
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oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``964360
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oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
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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
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oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
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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`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``965646
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``965812
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oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``966283
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`966412
oretractIfCan`1`x`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``966754
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``967096
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`967225
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``967567
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`967696
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``968038
oretractIfCan`1`x`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968217
oretractIfCan`1`x`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968346
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968475
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968604
oretractIfCan`1`x`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968733
oretractIfCan`1`x`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``968862
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``968991
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`969120
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`969462
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``969610
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`969739
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`969887
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`970035
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`970377
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`970525
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`970673
oretractIfCan`1`x`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``970821
oretractIfCan`1`x`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``971095
oretractIfCan`1`x`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``971224
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``971353
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``971482
oretractIfCan`1`x`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``971611
oretractIfCan`1`x`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``971740
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``971869
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`(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(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`x`(Any)->S`pAnyFunctions1(S)``972019
oretract`1`x`(Expression(Float))->_$`cFortranFunctionCategory``972183
oretract`1`x`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`972307
oretract`1`x`(Expression(Integer))->_$`cFortranFunctionCategory``972636
oretract`1`x`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`972760
oretract`1`x`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``973089
oretract`1`x`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``973418
oretract`1`x`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`973542
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``973871
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`973995
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``974324
oretract`1`x`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``974490
oretract`1`x`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``974614
oretract`1`x`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``974738
oretract`1`x`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``974862
oretract`1`x`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``974986
oretract`1`x`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``975110
oretract`1`x`(Polynomial(Float))->_$`cFortranFunctionCategory``975234
oretract`1`x`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`975358
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`975687
oretract`1`x`(Polynomial(Integer))->_$`cFortranFunctionCategory``975875
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`975999
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`976187
oretract`1`x`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`976375
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`976704
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`976892
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`977080
oretract`1`x`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``977268
oretract`1`x`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``977529
oretract`1`x`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``977653
oretract`1`x`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``977777
oretract`1`x`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``977901
oretract`1`x`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``978025
oretract`1`x`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``978149
oretract`1`x`(_$)->Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat)`dNumericalPDEProblem``978273
oretract`1`x`(_$)->Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat)`dNumericalODEProblem``978314
oretract`1`x`(_$)->S`cRetractableTo(S)``978355
oretract`1`x`(_$)->Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))`dNumericalIntegrationProblem``978490
oretract`1`x`(_$)->Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))`dNumericalOptimizationProblem``978531
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``978572
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``978678
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``978805
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``978900
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``978995
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``979091
oreturnType!`1`x`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``979189
oreturnType!`2`x`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``979313
oreturnType!`3`x`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``979437
oreturnTypeOf`2`x`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``979565
oreturns`0`x`()->_$`dFortranCode``979651
oreturns`1`x`(Expression(Complex(Float)))->_$`dFortranCode``979731
oreturns`1`x`(Expression(Float))->_$`dFortranCode``979834
oreturns`1`x`(Expression(Integer))->_$`dFortranCode``979937
oreturns`1`x`(Expression(MachineComplex))->_$`dFortranCode``980040
oreturns`1`x`(Expression(MachineFloat))->_$`dFortranCode``980143
oreturns`1`x`(Expression(MachineInteger))->_$`dFortranCode``980246
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``980349
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``980459
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`980632
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``980711
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``980905
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``980974
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``981193
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``981278
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``981475
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`981670
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``982001
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`982426
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``982735
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),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``983337
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``984321
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``984377
orhs`1`x`(_$)->S`dEquation(S)``984448
orhs`1`x`(_$)->SpadAst`dCaseAst``984523
orhs`1`x`(_$)->SpadAst`dHasAst``984600
orhs`1`x`(_$)->SpadAst`dIsAst``984677
orhs`1`x`(_$)->SpadAst`dLetAst``984752
orhs`1`x`(_$)->TypeAst`dColonAst``984835
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`984913
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`985027
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`985141
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``985360
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`985525
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``985744
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``985909
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``986179
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``986449
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``986495
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``986709
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``986923
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``987083
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``987454
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``987825
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`988129
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`988326
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`988569
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`988677
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``988787
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``988841
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`989125
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`989363
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`989562
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``989798
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``989925
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`990025
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`990084
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``990143
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``990330
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`990517
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`990706
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``990804
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`991045
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``991286
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`991445
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``991660
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``991844
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``992018
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`992217
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``992407
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``992598
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``992886
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``993174
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``993384
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``993479
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``993654
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`993850
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``993977
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`994102
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`994228
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``994287
oright`1`n`(_$)->_$`dMagma(VarSet)``994445
oright`1`n`(_$)->_$`dOutputForm``994598
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``994667
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``994743
oright`2`n`(_$,Integer)->_$`dOutputForm``994791
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)``994878
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)``995243
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``995553
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``995742
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``996385
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``996624
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``996945
ork4qc`14`x`(Vector(Float),Integer,Float,Record(tryValue: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``997439
ork4qc`7`x`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``997924
oroman`1`x`(Integer)->_$`dRomanNumeral``998388
oroman`1`x`(Symbol)->_$`dRomanNumeral``998449
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``998517
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``999205
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``999887
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``999924
orootDirectory`0`n`()->String`dSystem``1000021
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1000128
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1000195
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1000400
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1000650
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1000774
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1000842
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1000966
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1001080
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1001200
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1001314
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1001412
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1001525
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1001653
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1001824
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1001982
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1002217
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1002432
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1002555
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1002787
oroot`1`n`(_$)->_$`dOutputForm``1003017
oroot`2`n`(_$,_$)->_$`dOutputForm``1003092
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1003173
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``1003301
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1003541
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1003725
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``1003968
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1004216
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1004464
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1004658
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1004895
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1005251
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1005349
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1005447
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1005545
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1005719
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)`1005837
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)`1006081
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1006351
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1006493
oroutines`0`x`()->_$`dRoutinesTable``1006557
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1006627
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1006792
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1006899
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1007085
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1007218
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1007299
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1007380
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1007461
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1007542
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1007833
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1007956
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1008072
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``1008155
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1008348
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1008463
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1008545
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1008627
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1008722
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1008813
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1008906
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1009096
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1011673
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1011814
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1012181
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1012245
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1012321
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1012383
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1013514
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1013995
os01eaf`2`x`(Complex(DoubleFloat),Integer)->Result`pNagSpecialFunctionsPackage``1014143
os13aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014300
os13acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014496
os13adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014612
os14aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014726
os14abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014884
os14baf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015035
os15adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015218
os15aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015390
os17acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015544
os17adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015735
os17aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1015926
os17aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016117
os17agf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016308
os17ahf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016469
os17ajf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016629
os17akf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016804
os17dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1016980
os17def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1017307
os17dgf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1017634
os17dhf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1017876
os17dlf`6`x`(Integer,DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1018118
os18acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018534
os18adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018734
os18aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018934
os18aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019134
os18dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1019333
os18def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1019669
os19aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020005
os19abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020156
os19acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020307
os19adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020461
os20acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020612
os20adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020772
os21baf`3`x`(DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020932
os21bbf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1021155
os21bcf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1021330
os21bdf`5`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1021506
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1021683
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1021716
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1021851
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1022002
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1022157
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSystemInteger(N)``1022356
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``1022412
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osample`0`x`()->_$`cAbelianMonoid``1022468
osample`0`x`()->_$`cAggregate``1022515
osample`0`x`()->_$`cMonoid``1022562
osample`0`x`()->_$`dByte``1022609
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1022665
osample`0`x`()->_$`dSymbol``1022718
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1022764
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1022874
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1023005
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1023230
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1023375
osave`0`x`()->_$`dFortranCode``1023538
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1023605
osayLength`1`x`(String)->Integer`pDisplayPackage``1023696
osay`1`x`(List(String))->Void`pDisplayPackage``1023778
osay`1`x`(String)->Void`pDisplayPackage``1023843
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1023899
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1024022
oscalarTypeOf`1`x`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1024147
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1024219
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1024320
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1024419
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1024517
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1024630
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1024941
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1025619
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1025852
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1026231
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1026517
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1026797
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1027030
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1027309
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1027588
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1027749
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1027888
oscopes`1`x`(_$)->List(Scope)`dEnvironment``1028148
oscreenResolution3D`0`n`()->Integer`dPlot3D``1028225
oscreenResolution`0`n`()->Integer`dPlot``1028306
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1028369
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1028442
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1028516
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1028835
oscripted?`1`x`(_$)->Boolean`dSymbol``1029022
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1029104
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1029166
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``1029296
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemToolsPackage``1029406
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pd01AgentsPackage``1029495
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1029592
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1029651
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1029871
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1029969
osec`1`n`(F)->F`pElementaryFunction(R,F)``1030056
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1030117
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1030184
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1030251
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1030319
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1030389
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1030442
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1030544
osech`1`n`(F)->F`pElementaryFunction(R,F)``1030633
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1030706
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1030789
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1030872
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1030952
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1031034
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1031099
osecond`1`x`(_$)->T`dPair(S,T)``1031219
oseed`0`x`()->Integer`pRandomNumberSource``1031282
osegment`1`x`(S)->_$`dUniversalSegment(S)``1031335
osegment`1`x`(_$)->S`dRangeBinding(S,T)``1031417
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1031604
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`1031686
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1031845
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1031973
oselectFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1032243
oselectIntegrationRoutines`1`x`(_$)->_$`dRoutinesTable``1032378
oselectMultiDimensionalRoutines`1`x`(_$)->_$`dRoutinesTable``1032493
oselectNonFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1032649
oselectODEIVPRoutines`1`x`(_$)->_$`dRoutinesTable``1032792
oselectOptimizationRoutines`1`x`(_$)->_$`dRoutinesTable``1032912
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1033028
oselectPDERoutines`1`x`(_$)->_$`dRoutinesTable``1033296
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1033413
oselectSumOfSquaresRoutines`1`x`(_$)->_$`dRoutinesTable``1033637
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`(_$,NonNegativeInteger)->S`dTuple(S)``1033775
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`1033871
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1034106
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1034286
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1034350
oselectfirst`1`n`(_$)->A`dProduct(A,B)``1034474
oselectsecond`1`n`(_$)->B`dProduct(A,B)``1034517
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1034561
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1034817
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1035026
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1035306
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1035556
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1035725
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1035936
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1036115
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1036310
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1036583
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1036912
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1037015
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1037140
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1037292
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1037458
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1037640
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1037680
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)`1037846
osequence`1`n`(_$)->SpadAst`dInAst``1037979
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1038065
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1038237
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1038576
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1038811
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1038909
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1039288
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1039397
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1039504
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1039629
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1039966
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1040138
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1040330
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1040489
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1040585
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1041015
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1041214
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1041395
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1041487
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1041686
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1041885
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1041946
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1042028
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1042131
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1042371
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1042681
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1042862
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1043021
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1043099
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1043319
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1043488
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1043700
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1043819
osetAttributeButtonStep`1`x`(Float)->Float`dAttributeButtons``1043932
osetButtonValue`2`x`(String,Float)->Float`dAttributeButtons``1044139
osetButtonValue`3`x`(String,String,Float)->Float`dAttributeButtons``1044451
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1044806
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1044929
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1045101
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1045183
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1045345
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1045516
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1045593
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1045699
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1045998
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1046179
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1046330
osetLabelValue`1`x`(SingleInteger)->SingleInteger`dFortranCode``1046509
osetLegalFortranSourceExtensions`1`x`(List(String))->List(String)`pFortranPackage``1046593
osetLength!`2`x`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``1046658
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1046776
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1046865
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1046951
osetMinPoints`1`n`(Integer)->Integer`dPlot``1047040
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1047126
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1047291
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1047620
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1047990
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1048029
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1048106
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1048211
osetProperties`2`x`(_$,AssociationList(String,None))->_$`dBasicOperator``1048317
osetProperty`3`x`(_$,Identifier,None)->_$`dBasicOperator``1048481
osetProperty`3`x`(_$,String,None)->_$`dBasicOperator``1048672
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1048863
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1049009
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1049085
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1049179
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1049255
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1049411
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1049757
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1049853
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1049976
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1050144
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1050298
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1050433
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1050609
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1050688
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1050798
osetelt!`5`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1050930
osetelt`2`n`(_$,S)->S`dReference(S)``1051068
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051148
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051290
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051429
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051555
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051694
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051830
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`1051958
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1052147
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``1052307
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052434
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1052814
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``1052986
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053288
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053375
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1053467
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053573
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053650
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053782
osetref`2`n`(_$,S)->S`dReference(S)``1053922
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053976
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1054060
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1054180
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``1054258
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1054462
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1054536
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1054613
oshade`1`n`(Point(R))->R`pPointPackage(R)``1054740
oshade`1`x`(_$)->Integer`dPalette``1055069
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1055151
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1055194
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1055241
oshape`1`n`(_$)->Partition`dYoungDiagram``1055509
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1055571
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1055694
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1055756
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1055839
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1055953
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1056052
oshift`2`x`(_$,Integer)->_$`dFloat``1056150
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1056224
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1056282
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1056342
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1056441
oshowArrayValues`1`x`(Boolean)->Boolean`dResult``1056535
oshowAttributes`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:--Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")),"failed")`dIntegrationFunctionsTable``1056669
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1056717
oshowFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``1056969
oshowIntensityFunctions`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float),"failed")`dODEIntensityFunctionsTable``1057041
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1057147
oshowScalarValues`1`x`(Boolean)->Boolean`dResult``1057389
oshowSummary`1`x`(_$)->Void`dDomain``1057525
oshowTheFTable`0`x`()->_$`dIntegrationFunctionsTable``1057614
oshowTheIFTable`0`x`()->_$`dODEIntensityFunctionsTable``1057684
oshowTheRoutinesTable`0`x`()->_$`dRoutinesTable``1057765
oshowTheSymbolTable`0`x`()->_$`dTheSymbolTable``1057845
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1057914
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1058161
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1058281
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1058490
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1058638
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1058684
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1058730
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1058778
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1058814
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1058895
osign`1`x`(_$)->Integer`cOrderedAbelianGroup``1058975
osign`1`x`(_$)->Integer`dPermutation(S)``1059097
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1059193
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1059285
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1059411
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1059542
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1059698
osignatureAst`2`x`(Identifier,Signature)->_$`dSignatureAst``1059918
osignature`1`n`(_$)->Signature`dFunctionDescriptor``1060001
osignature`1`n`(_$)->Signature`dOperatorSignature``1060085
osignature`1`x`(_$)->Signature`dDefinitionAst``1060142
osignature`1`x`(_$)->Signature`dSignatureAst``1060331
osignature`2`x`(List(Syntax),Syntax)->_$`dSignature``1060405
osimpleBounds?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``1060539
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1060638
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1060755
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1060966
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``1061025
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1061146
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1061450
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061514
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1061991
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1062669
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1063351
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1063449
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1063534
osin`1`n`(E)->_$`dFourierComponent(E)``1063621
osin`1`n`(F)->F`pElementaryFunction(R,F)``1063687
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)``1063746
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1063811
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1063876
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1063942
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1064010
osin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1064061
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1064128
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1064230
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1064673
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1065222
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1065403
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1065649
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1065716
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1065786
osingularitiesOf`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Stream(DoubleFloat)`pd01AgentsPackage``1065867
osingularitiesOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1065984
osingularitiesOf`3`x`(Vector(Expression(DoubleFloat)),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1066207
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1066430
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1066532
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1066621
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)``1066692
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1066773
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1066854
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1066932
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1067012
osinh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1067075
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1067144
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``1067259
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1067333
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1067485
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1067637
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1067789
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1067941
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1068093
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1068273
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1068453
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1068633
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1068736
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`0`x`()->Integer`pRandomNumberSource``1068832
osize`0`x`()->NonNegativeInteger`cFinite``1068896
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``1068960
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1069027
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1069094
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1069166
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1069321
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1069363
oslash`2`n`(_$,_$)->_$`dOutputForm``1069551
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1069646
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1069840
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1069917
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1070006
osocf2socdf`1`x`(Segment(OrderedCompletion(Float)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``1070052
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1070206
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1070244
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1070283
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1070552
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1070702
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)``1070847
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1071258
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1071494
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``1071898
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1072302
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1072547
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1072835
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``1073080
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`1073325
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`1073511
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``1073675
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1073851
osolve`10`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String,DoubleFloat)->Result`pAnnaPartialDifferentialEquationPackage``1074104
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1075287
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1075467
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1075504
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1075714
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1075844
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1076043
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1076180
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1076333
osolve`1`x`(NumericalODEProblem)->Result`pAnnaOrdinaryDifferentialEquationPackage``1076473
osolve`1`x`(NumericalPDEProblem)->Result`pAnnaPartialDifferentialEquationPackage``1077653
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1078265
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1078440
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1078561
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1078681
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1078863
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1079072
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1079183
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1079361
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1079580
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1079716
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1079855
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1080057
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1080208
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1080427
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1080565
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1080771
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1080916
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1081061
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1081267
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1081473
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1081590
osolve`2`x`(NumericalODEProblem,RoutinesTable)->Result`pAnnaOrdinaryDifferentialEquationPackage``1081735
osolve`2`x`(NumericalPDEProblem,RoutinesTable)->Result`pAnnaPartialDifferentialEquationPackage``1082969
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)``1083597
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1084009
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1084793
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1085530
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1086093
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1086493
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1086893
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1087207
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1087442
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1087715
osolve`4`x`(Vector(Expression(Float)),Float,Float,List(Float))->Result`pAnnaOrdinaryDifferentialEquationPackage``1087988
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1089201
osolve`5`x`(Vector(Expression(Float)),Float,Float,List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1089428
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1090639
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1092002
osolve`7`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1093336
osolve`8`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float,Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1094832
osolve`9`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String)->Result`pAnnaPartialDifferentialEquationPackage``1096400
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1097570
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1097750
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`1097812
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(_$,ATTRIBUTE(shallowlyMutable))`1097890
osortConstraints`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat)))`pe04AgentsPackage``1097971
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1098180
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1098464
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``1098592
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1098692
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1098919
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,_$)->Boolean`cFiniteLinearAggregate(S)``1099002
osource`1`x`(_$)->List(Syntax)`dSignature``1099091
osource`1`x`(_$)->List(TypeAst)`dMappingAst``1099159
ospace`0`x`()->_$`dCharacter``1099227
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1099277
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1099470
osparsityIF`1`x`(Matrix(Expression(DoubleFloat)))->Float`pd02AgentsPackage``1099581
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1099654
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1099718
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1099980
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1100245
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1100368
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1100529
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1100690
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``1100838
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1100990
osplitLinear`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pe04AgentsPackage``1101192
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1101281
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1101578
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1101892
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1102224
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1102400
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1102576
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1102667
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1102929
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1103740
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1103899
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1104057
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1104144
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1104237
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1104389
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1104468
osqrt`1`x`(Integer)->_$`cRealClosedField``1104527
osqrt`1`x`(_$)->_$`cRadicalCategory``1104586
osqrt`1`x`(_$)->_$`cRealClosedField``1104645
osqrt`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1104704
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1104773
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1104895
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1104965
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1105140
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1105315
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1105432
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1105853
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)`1106024
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1106160
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1106273
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1106793
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`1106908
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1106962
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1107081
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1107167
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1107273
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1107451
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)``1107641
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1107894
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1108068
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1108411
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1108505
osquareMatrix`1`x`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1108690
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1108809
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1108982
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1109116
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1109250
ostack`1`x`(List(S))->_$`dStack(S)``1109383
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1109528
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1110202
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1110642
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1110776
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1110902
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1111028
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)``1111154
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1111283
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1111356
ostep`1`x`(_$)->SpadAst`dStepAst``1111498
ostiffnessAndStabilityFactor`1`x`(Matrix(Expression(DoubleFloat)))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1111627
ostiffnessAndStabilityOfODEIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1112154
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1112737
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1112835
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1112935
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1113209
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1113504
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1113596
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1113688
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1113780
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`x`()->_$`dFortranCode``1113875
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`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1113942
ostring`1`n`(_$)->_$`dOutputForm``1114024
ostring`1`x`(DoubleFloat)->_$`dString``1114085
ostring`1`x`(Integer)->_$`dString``1114167
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1114249
ostring`1`x`(_$)->String`dSymbol``1114372
ostripCommentsAndBlanks`1`x`(String)->String`pTemplateUtilities``1114475
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1114617
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1114702
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1114988
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1115150
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1115289
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1115537
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1115785
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1116076
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1116333
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1116773
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``1117213
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1117261
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1117335
ostyle`1`x`(String)->_$`dDrawOption``1117488
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1117664
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1117866
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1117980
osubHeight`1`n`(_$)->Integer`dOutputForm``1118094
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)``1118178
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1118375
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1118569
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1118798
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1118928
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1119058
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1119201
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1119344
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1119495
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1119655
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1119867
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1120125
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1120262
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1120635
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1120766
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1120925
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1121248
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1121346
osub`2`n`(_$,_$)->_$`dOutputForm``1121444
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1121520
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1121596
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1121711
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1121897
osubscriptedVariables`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pd03AgentsPackage``1121989
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1122043
osubspace`0`n`()->_$`dSubSpace(n,R)``1122241
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1122280
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1122418
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1122602
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1122812
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1122905
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1123039
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``1123162
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1123298
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1123389
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1123577
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1123701
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1123821
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1123967
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1124073
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1124229
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1124300
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1124420
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1124546
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1124677
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1125017
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1125211
osumOfSquares`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pe04AgentsPackage``1125467
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1125585
osum`1`n`(_$)->_$`dOutputForm``1125821
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1125904
osum`2`n`(_$,_$)->_$`dOutputForm``1126084
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1126203
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1126308
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1126408
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1126483
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1126663
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1126738
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1126918
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1126995
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1127152
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1127256
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1127410
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1127514
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1127668
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1127884
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1128100
osup`1`x`(_$)->R`cIntervalCategory(R)``1128300
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1128363
osuperHeight`1`n`(_$)->Integer`dOutputForm``1128469
osuper`2`n`(_$,_$)->_$`dOutputForm``1128555
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1128635
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1128731
osupport`1`x`(_$)->Set(S)`cPermutationCategory(S)``1128854
osupport`1`x`(_$)->Set(S)`dPermutationGroup(S)``1128943
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1129017
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`1129146
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1129273
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1129409
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1129539
oswap`1`x`(_$)->_$`dEquation(S)``1129605
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1129689
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1129800
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1129947
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1130127
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1130250
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1130306
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1130388
osymbolTableOf`2`x`(Symbol,_$)->SymbolTable`dTheSymbolTable``1130504
osymbolTable`1`x`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1130576
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1130659
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1130782
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1130978
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1131174
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1131606
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1131841
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1132036
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1132221
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1132443
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1132648
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1132890
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1132997
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1133099
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1133663
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1134194
osystemSizeIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``1134412
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1134595
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1134685
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1134774
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1134933
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1134966
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1135038
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1135244
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1135550
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1135857
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1135930
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1136047
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)``1136122
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1136250
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1136386
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136566
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136664
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1136768
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1136874
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1136961
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1137069
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1137148
otan`1`n`(F)->F`pElementaryFunction(R,F)``1137290
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)``1137352
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1137420
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1137488
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1137557
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1137628
otan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1137682
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1137749
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1137851
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1137960
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1138049
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)``1138123
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1138207
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1138291
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1138372
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1138455
otanh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1138521
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1138590
otarget`1`x`(_$)->Syntax`dSignature``1138803
otarget`1`x`(_$)->TypeAst`dCoerceAst``1138873
otarget`1`x`(_$)->TypeAst`dMappingAst``1138941
otarget`1`x`(_$)->TypeAst`dPretendAst``1139002
otarget`1`x`(_$)->TypeAst`dRestrictAst``1139070
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1139138
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1139294
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1139391
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1139508
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1139689
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1139757
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1139898
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1139980
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1140090
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1140330
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1140499
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1140663
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1140741
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1140904
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1141249
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1141348
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1141702
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``1141984
oterms`1`x`(_$)->List(Pair(S,A))`cIndexedDirectProductCategory(A,S)``1142144
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1142312
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1142393
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1142575
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1142689
otest`1`x`(_$)->_$`dBoolean``1142890
otex`1`x`(_$)->List(String)`dTexFormat``1142986
othenBranch`1`x`(_$)->SpadAst`dIfAst``1143056
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1143118
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1143394
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1143517
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1143714
otitle`1`x`(String)->_$`dDrawOption``1143829
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1143971
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1144173
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1144327
otoScale`1`x`(Boolean)->_$`dDrawOption``1144485
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1144715
otop!`1`x`(_$)->S`cDequeueAggregate(S)``1144921
otopFortranOutputStack`0`x`()->String`pFortranOutputStackPackage``1144998
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1145088
otop`1`x`(_$)->S`cStackAggregate(S)``1145276
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1145454
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1145759
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1145799
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1145839
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1145884
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1145928
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1146075
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1146222
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1146373
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1146530
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1146670
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`x`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1146774
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1146908
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1147012
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1147273
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1147453
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1147684
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1147720
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1147825
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1147981
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1148136
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1148291
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1148387
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`(_$)->F`cFiniteAlgebraicExtensionField(F)``1148499
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1148643
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1148753
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1148890
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1148987
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1149276
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1149324
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1149452
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1149576
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1149614
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1149720
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1149940
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1150404
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1150474
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1150547
otranspose`1`x`(_$)->_$`dSquareMatrix(ndim,R)``1150788
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1150861
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1151137
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1151833
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1152523
otree`1`x`(List(S))->_$`dTree(S)``1152860
otree`1`x`(S)->_$`dTree(S)``1152935
otree`2`x`(S,List(_$))->_$`dTree(S)``1153013
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1153102
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1153187
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1153272
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1154345
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1154542
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)``1154895
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1155239
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``1155405
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1155756
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1155885
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1156014
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1156190
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1156377
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1156481
otrue`0`x`()->_$`cPropositionalLogic``1156558
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1156600
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1156719
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1156805
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1156894
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1157024
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1157181
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1157327
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1157521
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1157781
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1158031
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1158383
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1158732
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1158870
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1159014
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1159231
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1159443
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1159521
otubeRadius`1`x`(Float)->_$`dDrawOption``1159612
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1159758
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1159970
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1160057
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1160367
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1160463
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``1160780
otypeList`2`x`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1160857
otypeLists`1`x`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1160952
otype`1`x`(_$)->Syntax`dElaboratedExpression``1161039
ounary?`1`x`(_$)->Boolean`dBasicOperator``1161128
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1161182
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1161233
ounderscore`0`x`()->_$`dCharacter``1161447
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1161507
ouniform01`0`n`()->Float`pRandomFloatDistributions``1161569
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1161609
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1161648
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1161687
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1161728
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1161812
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1161880
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1162077
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1162274
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``1162401
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``1162493
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``1162564
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1162872
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1163073
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1163115
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1163260
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1163354
ounit`1`x`(List(Float))->_$`dDrawOption``1163466
ounit`1`x`(_$)->R`dFactored(R)``1163617
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1163684
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1163780
ounits`1`n`(_$)->List(Float)`dGraphImage``1163898
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1164069
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1164270
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1164547
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1164795
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1165056
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1165170
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1165326
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1165482
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1165666
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1165925
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1166091
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1166191
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1166357
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1166463
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1166577
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1167373
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1167640
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)``1167742
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1167844
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1168010
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1168103
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1168307
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1168449
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1168497
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1168536
ounknownEndian`0`n`()->_$`dByteOrder``1168632
ounknown`0`n`()->_$`dKleeneTrivalentLogic``1168683
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1168715
ounparse`1`n`(_$)->String`dInputForm``1168874
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1169039
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1169483
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1169952
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1170497
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1170620
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``1170747
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1170875
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1171106
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1171141
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1171176
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1171303
oupperBound`1`x`(_$)->Maybe(SpadAst)`dStepAst``1171481
oupperCase!`1`x`(_$)->_$`cStringAggregate``1171655
oupperCase?`1`x`(_$)->Boolean`dCharacter``1171770
oupperCase`0`x`()->_$`dCharacterClass``1171881
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1172005
oupperCase`1`x`(_$)->_$`dCharacter``1172086
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1172255
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1172377
ouseNagFunctions`0`x`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1172567
ouseNagFunctions`1`x`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1172700
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1172907
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1173079
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1173299
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1173434
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1173510
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1173663
ovalue`1`x`(_$)->Integer`dOrdSetInts``1173734
ovalue`1`x`(_$)->SExpression`dProperty``1173802
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1173860
ovalue`1`x`(_$)->String`dQueryEquation``1173923
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1174021
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1174289
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1174548
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1174716
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1174926
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1175194
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1175453
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1175622
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1175832
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1175900
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1175984
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1176075
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1176166
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1176270
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1176361
ovarList`2`x`(Expression(DoubleFloat),NonNegativeInteger)->List(Symbol)`pe04AgentsPackage``1176442
ovarList`2`x`(Symbol,NonNegativeInteger)->List(Symbol)`pd03AgentsPackage``1176556
ovariable?`1`x`(_$)->Boolean`dElaboratedExpression``1176599
ovariable`0`n`()->Symbol`dVariable(sym)``1176668
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1176712
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1176785
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1176902
ovariable`1`x`(_$)->Symbol`dQueryEquation``1177001
ovariable`1`x`(_$)->Symbol`dRangeBinding(S,T)``1177104
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1177293
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)``1177409
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1177508
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1177597
ovariables`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->List(Symbol)`pe04AgentsPackage``1177713
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1177800
ovariables`1`x`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1177878
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1177953
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``1178051
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1178161
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1178298
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1178640
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1178755
ovconcat`1`n`(List(_$))->_$`dOutputForm``1178841
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1178918
ovector`1`x`(List(R))->_$`dVector(R)``1178998
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1179062
ovedf2vef`1`x`(Vector(Expression(DoubleFloat)))->Vector(Expression(Float))`pExpertSystemToolsPackage``1179264
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``1179376
overticalTab`0`x`()->_$`dCharacter``1179604
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1179655
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1179726
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1179846
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1180003
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1180121
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1180276
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1180370
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1180505
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1180713
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1180943
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1181022
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1181127
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1181224
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1181362
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1181485
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1181617
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1181783
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1181864
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1181976
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1182242
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``1182611
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1182833
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1183090
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1183440
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1183837
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1184332
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1184827
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1184974
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1185125
ovoidMode`0`n`()->_$`dInternalTypeForm``1185167
ovoid`0`x`()->_$`dVoid``1185224
ovspace`1`n`(Integer)->_$`dOutputForm``1185269
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1185333
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1185502
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1185776
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1185908
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1185979
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1186046
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1186117
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1186354
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1186394
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1186518
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1186751
owhileLoop`2`x`(Switch,_$)->_$`dFortranCode``1186886
owhitePoint`0`x`()->_$`cRGBColorSpace(T)``1186948
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1187029
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1187093
owholePart`1`x`(_$)->R`dPartialFraction(R)``1187280
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1187365
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1187518
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1187671
owidth`0`n`()->Integer`dOutputForm``1187762
owidth`1`n`(_$)->Integer`dOutputForm``1187836
owidth`1`x`(_$)->R`cIntervalCategory(R)``1187908
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1187978
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1188134
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1188338
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1188552
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1188774
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1188938
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1189051
owriteByte!`2`x`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``1189227
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``1189387
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`x`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``1189516
owriteLine!`1`x`(_$)->String`dTextFile``1189684
owriteLine!`2`x`(_$,String)->String`dTextFile``1189861
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`x`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1190021
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1190199
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1190435
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1190674
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1190973
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1191246
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1191548
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1191824
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1191958
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1192098
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1192218
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1192472
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1192579
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1192686
oxor`2`x`(_$,_$)->_$`cBitAggregate``1192744
oxor`2`x`(_$,_$)->_$`dBoolean``1192856
oxor`2`x`(_$,_$)->_$`dSingleInteger``1192952
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1193062
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1193317
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1193435
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1193542
oyellow`0`x`()->_$`dColor``1193649
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1193728
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1193854
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1193975
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1194112
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1194383
ozag`2`n`(_$,_$)->_$`dOutputForm``1194490
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1194588
ozero?`1`x`(_$)->Boolean`dArity``1194644
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1194718
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1194792
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1194891
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1195108
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1195276
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1195363
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1195448
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1195620
ozeroMatrix`3`x`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1195799
ozeroMatrix`3`x`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1195867
ozeroMatrix`3`x`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1195961
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``1196079
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1196310
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1196485
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``1196716
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1196922
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1197137
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1197473
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1197673
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1198025
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1198399
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1198540
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1199054
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1199563
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1199889
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1200259
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1200398
ozeroSquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1200537
ozeroVector`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1200589
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1200635
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1200699
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``1200768
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1201107
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1201390
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``1201670
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1201984
ozerosOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1202298
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1202463
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1202501
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1202659
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1202699
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1202741
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1203029
o~=`2`x`(_$,_$)->Boolean`cBasicType``1203085
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(S)->S`xBooleanLogic&(S)``0
o~`1`x`(_$)->_$`cLogic``1203150
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1203213
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1203309
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1203393
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1203467
pAlgebraicIntegrate`5`n`(R0:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1203502
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1203591
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1203705
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1203820
pAnnaNumericalIntegrationPackage`0`x`()->etc``INTPACK`0
pAnnaNumericalOptimizationPackage`0`x`()->etc``OPTPACK`0
pAnnaOrdinaryDifferentialEquationPackage`0`x`()->etc``ODEPACK`0
pAnnaPartialDifferentialEquationPackage`0`x`()->etc``PDEPACK`0
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1204031
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1204241
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1204328
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1204456
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1204580
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1204698
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1204767
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`1204904
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1205020
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1205134
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1205739
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1205775
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1205882
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1205946
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1206043
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1206148
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1206594
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1206683
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1206748
pCommonOperators`0`n`()->etc``COMMONOP`1206912
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1207118
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1207234
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1207466
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1207563
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1207689
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1207766
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1207838
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`1208608
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1208742
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1208830
pCycleIndicators`0`x`()->etc``CYCLES`1209088
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1209125
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1209193
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1209229
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1209370
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1209406
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1210139
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1210457
pDisplayPackage`0`x`()->etc``DISPLAY`1210577
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1210682
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1210975
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1211076
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1211179
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1211597
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1211633
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1211669
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1212023
pElementaryFunctionLODESolver`3`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1212153
pElementaryFunctionODESolver`2`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1212333
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1212505
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1212620
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1212913
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1212975
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1213138
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1213344
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1213552
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1213629
pErrorFunctions`0`x`()->etc``ERROR`1213705
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1215686
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1216561
pExpertSystemContinuityPackage1`2`x`(DoubleFloat,DoubleFloat)->etc`(A,B)`ESCONT1`1216734
pExpertSystemContinuityPackage`0`x`()->etc``ESCONT`1216823
pExpertSystemToolsPackage1`1`x`(OrderedRing)->etc`(R1)`ESTOOLS1`1216969
pExpertSystemToolsPackage2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`ESTOOLS2`1217127
pExpertSystemToolsPackage`0`x`()->etc``ESTOOLS`1217285
pExpressionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1217414
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1217510
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1217691
pExpressionSpaceODESolver`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1217978
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1218028
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1218152
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1218242
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1218454
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1218759
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1218872
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1219146
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1219203
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`1219365
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`1219510
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1219637
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1219806
pFiniteFieldPolynomialPackage2`2`x`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1220040
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1220309
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1220476
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1220577
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1220889
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1220978
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1221282
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1221641
pFortranCodePackage1`0`x`()->etc``FCPAK1`1221961
pFortranOutputStackPackage`0`x`()->etc``FOP`1222585
pFortranPackage`0`x`()->etc``FORT`1222632
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1222698
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`1222859
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1223042
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`1223309
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1223369
pFunctionSpaceAssertions`2`x`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1223772
pFunctionSpaceAttachPredicates`3`x`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1223890
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1224008
pFunctionSpaceFunctions2`4`x`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1224137
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1224292
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1224411
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1224519
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1224724
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1224771
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`1224862
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1225287
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1225475
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1225539
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1225647
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1225728
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1225934
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1226008
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1226078
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1226659
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1226878
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1227016
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1227092
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1227255
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1227404
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`1227776
pGraphicsDefaults`0`x`()->etc``GRDEF`1227813
pGrayCode`0`n`()->etc``GRAY`1227907
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1228048
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1229103
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1229257
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1230312
pHallBasis`0`x`()->etc``HB`1230590
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1231150
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1231298
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1231608
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1231682
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1231802
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1231909
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1232013
pInfinity`0`x`()->etc``INFINITY`1232075
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1232186
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1232319
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1232488
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`1232648
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1232912
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1233182
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1233322
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1233493
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1234093
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1234158
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1234199
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1234376
pIntegerBits`0`n`()->etc``INTBIT`1234419
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1234485
pIntegerLinearDependence`1`x`(Join(Ring,etc))->etc`(R)`ZLINDEP`1234857
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1234910
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1234991
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1235191
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1235306
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1235431
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1235613
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1235779
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1235896
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1236062
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1236369
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1236571
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1236750
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`1236823
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1237373
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1237433
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1237991
pKernelFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1238135
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1238199
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1238351
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`1238411
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1239283
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1239421
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1240287
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1240518
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1240553
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1240724
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1240858
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1241114
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`1241399
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1241474
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1241568
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1241644
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1241792
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1241942
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`1242359
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`1242485
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1242519
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1242904
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1243295
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1243531
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1243592
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1243820
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1243884
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1244020
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1244081
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1244117
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1244153
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1244189
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1244225
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1244261
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`1244297
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1244450
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1244603
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1244710
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1244762
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1244922
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1245152
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1245329
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1245461
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1245508
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1245775
pMultiVariableCalculusFunctions`4`x`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:Join(FiniteLinearAggregate(S),etc))->etc`(S,F,FLAF,FLAS)`MCALCFN`1245856
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`1246142
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1246199
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1246362
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1246628
pNAGLinkSupportPackage`0`x`()->etc``NAGSP`1247021
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1247081
pNagEigenPackage`0`x`()->etc``NAGF02`1247358
pNagFittingPackage`0`x`()->etc``NAGE02`1247665
pNagIntegrationPackage`0`x`()->etc``NAGD01`1249123
pNagInterpolationPackage`0`x`()->etc``NAGE01`1249354
pNagLapack`0`x`()->etc``NAGF07`1249888
pNagLinearEquationSolvingPackage`0`x`()->etc``NAGF04`1250092
pNagMatrixOperationsPackage`0`x`()->etc``NAGF01`1250500
pNagOptimisationPackage`0`x`()->etc``NAGE04`1250670
pNagOrdinaryDifferentialEquationsPackage`0`x`()->etc``NAGD02`1251249
pNagPartialDifferentialEquationsPackage`0`x`()->etc``NAGD03`1251820
pNagPolynomialRootsPackage`0`x`()->etc``NAGC02`1251951
pNagRootFindingPackage`0`x`()->etc``NAGC05`1252113
pNagSeriesSummationPackage`0`x`()->etc``NAGC06`1252380
pNagSpecialFunctionsPackage`0`x`()->etc``NAGS`1252621
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1252774
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1253099
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1253410
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1253563
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1253796
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1253969
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1254085
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`1254119
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1254880
pNumberFormats`0`n`()->etc``NUMFMT`1255127
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1255279
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1255344
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1255615
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1255753
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1255987
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1256199
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1256299
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1260914
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1264329
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1264495
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1264560
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1264740
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1264898
pOpenMathPackage`0`x`()->etc``OMPKG`1265002
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1265108
pOperationsQuery`0`x`()->etc``OPQUERY`1265476
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1265557
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1265659
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1265788
pOutputPackage`0`x`()->etc``OUT`1265864
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1265920
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1266463
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1266829
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1267186
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1267254
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1267294
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1267328
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1267362
pParser`0`x`()->etc``PARSER`1267396
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1267516
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1267794
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1267958
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1267985
pPatternMatchAssertions`0`x`()->etc``PMASS`1268016
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1268134
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1268210
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1268279
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1268474
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1268542
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`1268608
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1268680
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1268757
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1268827
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1268874
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1268942
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1269002
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1269073
pPermutationGroupExamples`0`x`()->etc``PGE`1269169
pPiCoercions`1`x`(IntegralDomain)->etc`(R)`PICOERCE`1269567
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1269758
pPlotTools`0`n`()->etc``PLOTTOOL`1269890
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1269933
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1269967
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1270001
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1270102
pPointsOfFiniteOrder`5`n`(R0:Join(IntegralDomain,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1270232
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1270333
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1270414
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1271127
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`1271247
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`1271544
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1271667
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1271701
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1271735
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1272028
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1272243
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`1272386
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1272439
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1272492
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`1272586
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1272661
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1272950
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1273189
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1273612
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1273844
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1274089
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1274266
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1274418
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1274516
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1274746
pPrintPackage`0`x`()->etc``PRINT`1274811
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1274875
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1274991
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1276033
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`1276202
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1276295
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1276331
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`1277585
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1278324
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1278521
pRadicalEigenPackage`0`x`()->etc``REP`1278629
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1278910
pRadixUtilities`0`x`()->etc``RADUTIL`1279082
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1279148
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1279197
pRandomNumberSource`0`x`()->etc``RANDSRC`1279247
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1279438
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1279564
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1279685
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1279971
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1280053
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1280106
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1280178
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1280222
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1280319
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1280400
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1280462
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1280612
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1280726
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1280790
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1281226
pRealSolvePackage`0`n`()->etc``REALSOLV`1281327
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1281444
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1281749
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`1282053
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`1282227
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`1282328
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1282477
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`1282627
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`1284089
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1284862
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1284916
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1284970
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1285479
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1286048
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1286146
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1286297
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1286431
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1286533
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1286610
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1286756
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1286863
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1286969
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1287017
pSpadParser`0`x`()->etc``SPADPRSR`1287579
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1287700
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1288025
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`1288140
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`1288983
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`1290376
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1291261
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1291560
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1291621
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1291683
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1291747
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1291926
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1292071
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1292276
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1292439
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1292626
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1292788
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1293058
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1293262
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1293329
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1293535
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1293659
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1293858
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1294289
pTemplateUtilities`0`x`()->etc``TEMUTL`1294342
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1294407
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1294551
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1294596
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1294715
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1294830
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1294958
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1295053
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1295127
pTransSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1295685
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1296535
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1296586
pTranscendentalManipulations`2`x`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1296677
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1296802
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1296971
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1297127
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1297602
pTubePlotTools`0`n`()->etc``TUBETOOL`1297753
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1297829
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1297942
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1298109
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1298238
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1298415
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1298592
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1298735
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1298920
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1299105
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1299251
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1299594
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1299877
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1300552
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1300702
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1300830
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1301006
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1301157
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1301234
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1301300
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1301533
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1301838
pViewportPackage`0`n`()->etc``VIEW`1301926
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1302052
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1302616
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1302978
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1303148
pd01AgentsPackage`0`x`()->etc``D01AGNT`1304470
pd01WeightsPackage`0`x`()->etc``D01WGTS`1304859
pd02AgentsPackage`0`x`()->etc``D02AGNT`1305168
pd03AgentsPackage`0`x`()->etc``D03AGNT`0
pe04AgentsPackage`0`x`()->etc``E04AGNT`0
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1305292
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1305420
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1305541
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1306118
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1306271
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1306330
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1306850
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1306943
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1306989
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1307044
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1307101
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1307329
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1307447
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1307587
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1307802
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1307901
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1307958
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1308394
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1308481
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1308549
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1308869
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1308999
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1309636
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1310962
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1311097
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1311173
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1313555
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1313712
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1313881
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1313927
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1314288
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1314678
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1314828
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1314905
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1315312
xField&`1`n`(Field)->etc`(S)`FIELD-`1315400
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1315622
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1315864
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1316035
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-`1317550
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1317766
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1317826
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1318070
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1318192
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1318343
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1318546
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1319573
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1319686
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1319964
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1320086
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1320317
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1320749
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1320832
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1320911
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1321211
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1321551
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1322094
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1322206
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1322620
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1322680
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1322939
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1323257
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1323316
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1323382
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1323711
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1323820
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1324134
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1324199
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1324364
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1324993
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1325259
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1325447
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1325543
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1326159
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1326226
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1326332
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1326773
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1326883
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1327009
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1327184
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1327323
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1327631
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1327853
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1328660
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1328871
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1328971
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1329072
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1329129
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1329189
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:SetCategory)->etc`(A,S)`PDSPC-`1329485
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1329696
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1329866
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-`1330169
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1330783
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1330908
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1331046
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1331138
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1331209
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1331304
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1331599
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-`1331710
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1331939
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1332391
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-`1332870
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1335700
xRing&`1`n`(Ring)->etc`(S)`RING-`1335875
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1335973
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1336103
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1336429
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-`1336701
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1336957
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1337328
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1337432
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1337553
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-`1337614
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1339038
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1339087
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1339642
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1340180
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1340353
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1340647
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1340795
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1341142
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1341439
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1341822
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1341921
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1342341
