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cPolynomialFactorizationExplicit`0`x`()->Category``PFECAT`52562
cPolynomialSetCategory`4`x`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`52864
cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`53476
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`53600
cPrincipalIdealDomain`0`x`()->Category``PID`53655
cPriorityQueueAggregate`1`x`(OrderedSet)->Category`(S)`PRQAGG`54006
cPropositionalLogic`0`x`()->Category``PROPLOG`54123
cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`54192
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`54329
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`54411
cRGBColorModel`1`x`(AbelianMonoid)->Category`(T)`RGBCMDL`54502
cRGBColorSpace`1`x`(AbelianMonoid)->Category`(T)`RGBCSPC`54573
cRadicalCategory`0`x`()->Category``RADCAT`54644
cRealClosedField`0`x`()->Category``RCFIELD`54714
cRealConstant`0`x`()->Category``REAL`54808
cRealNumberSystem`0`x`()->Category``RNS`54895
cRealRootCharacterizationCategory`2`x`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`55189
cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`55299
cRecursiveAggregate`1`x`(Type)->Category`(S)`RCAGG`55527
cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`55968
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`56445
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`59269
cRightLinearSet`1`x`(SemiGroup)->Category`(S)`RLINSET`59443
cRightModule`1`x`(Rng)->Category`(R)`RMODULE`59613
cRing`0`x`()->Category``RING`59789
cRng`0`x`()->Category``RNG`59886
cSExpressionCategory`5`x`(SetCategory,SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt,Expr)`SEXCAT`60110
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`60212
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`60303
cSemiGroup`0`x`()->Category``SGROUP`60393
cSemiRing`0`x`()->Category``SRING`60522
cSetAggregate`1`x`(SetCategory)->Category`(S)`SETAGG`60718
cSetCategory`0`x`()->Category``SETCAT`61043
cSpadAstExports`0`x`()->Category``SPADXPT`61314
cSpadSyntaxCategory`0`x`()->Category``SASTCAT`61405
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`61456
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`61504
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`61828
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`62800
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`63055
cStepThrough`0`x`()->Category``STEP`63136
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`63694
cStringAggregate`0`x`()->Category``SRAGG`64064
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`64167
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`64287
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`64479
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`64539
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`65959
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`66007
cType`0`x`()->Category``TYPE`66560
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`66588
cUnionType`0`n`()->Category``UTYPE`67124
cUniqueFactorizationDomain`0`x`()->Category``UFD`67439
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`67611
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`67711
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`68004
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`68151
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`68497
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`68597
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`68893
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`69275
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`69373
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`69792
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`69863
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`70115
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`70221
dAddAst`0`x`()->Join(SpadSyntaxCategory,etc)``ADDAST`70385
dAlgebraGivenByStructuralConstants`4`x`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`70448
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`70903
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`70971
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`71042
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`71091
dAny`0`x`()->Join(SetCategory,etc)``ANY`71138
dArity`0`x`()->Join(SetCategory,etc)``ARITY`71694
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`71989
dAsp10`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP10`72036
dAsp12`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP12`72456
dAsp19`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP19`72881
dAsp1`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP1`78002
dAsp20`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP20`78349
dAsp24`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP24`78847
dAsp27`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP27`79496
dAsp28`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP28`80569
dAsp29`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP29`89401
dAsp30`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP30`89776
dAsp31`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP31`90854
dAsp33`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP33`91430
dAsp34`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP34`91711
dAsp35`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP35`92371
dAsp41`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP41`93108
dAsp42`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP42`94205
dAsp49`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP49`95472
dAsp4`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP4`96209
dAsp50`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP50`96641
dAsp55`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP55`98567
dAsp6`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP6`99792
dAsp73`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP73`100892
dAsp74`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP74`101337
dAsp77`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP77`101961
dAsp78`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP78`102309
dAsp7`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP7`102575
dAsp80`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP80`103128
dAsp8`1`x`(Symbol)->FortranVectorCategory`(name)`ASP8`103498
dAsp9`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP9`104416
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`105056
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`106281
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`107335
dAttributeAst`0`x`()->Join(SpadSyntaxCategory,etc)``ATTRAST`107642
dAttributeButtons`0`x`()->Join(SetCategory,etc)``ATTRBUT`107738
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`108783
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`108869
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`109218
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`109431
dBasicFunctions`0`x`()->Join(SetCategory,etc)``BFUNCT`0
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`109637
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`109771
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`109861
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`110141
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`110432
dBinding`0`x`()->Join(CoercibleTo(OutputForm),etc)``BINDING`110658
dBits`0`x`()->Join(BitAggregate,etc)``BITS`110842
dBoolean`0`x`()->Join(OrderedFinite,etc)``BOOLEAN`110909
dByteBuffer`0`x`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`111016
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`111781
dByte`0`x`()->Join(OrderedFinite,etc)``BYTE`111855
dCapsuleAst`0`x`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`111922
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`111987
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`113392
dCaseAst`0`x`()->Join(SpadSyntaxCategory,etc)``CASEAST`113638
dCategoryAst`0`x`()->Join(SpadSyntaxCategory,etc)``CATAST`113688
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`113793
dCategory`0`x`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`113863
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`113953
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`114011
dCoerceAst`0`x`()->Join(SpadSyntaxCategory,etc)``CRCEAST`114702
dCollectAst`0`x`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`114753
dColonAst`0`x`()->Join(SpadSyntaxCategory,etc)``COLONAST`114809
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`114904
dCommaAst`0`x`()->Join(SpadSyntaxCategory,etc)``COMMAAST`115014
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`115110
dCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`115145
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`115192
dConstructAst`0`x`()->Join(SpadSyntaxCategory,etc)``LSTAST`115398
dConstructorCall`1`x`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`115454
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`115613
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`115674
dContour`0`x`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`116265
dDataArray`2`x`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`116443
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`116513
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`116569
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`116676
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`116940
dDefinitionAst`0`x`()->Join(SpadSyntaxCategory,etc)``DEFAST`117031
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`117088
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`117375
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`117421
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`117687
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`117773
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`117872
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`118481
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`118844
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`118913
dDomain`0`x`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`118999
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`120939
dDualBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`121033
dElaboratedExpression`0`x`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`121233
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`121309
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`121728
dEnumeration`1`x`special`(a,b,...,c)`ENUM`122147
dEnvironment`0`x`()->Join(CoercibleTo(OutputForm),etc)``ENV`122302
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`122456
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`122621
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`122861
dExitAst`0`x`()->Join(SpadSyntaxCategory,etc)``EXITAST`123061
dExit`0`x`()->SetCategory``EXIT`123108
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`123395
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`123688
dExpression`1`x`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`124469
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`124517
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`125359
dFileName`0`x`()->FileNameCategory``FNAME`126197
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`126266
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`126400
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`126615
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`127215
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`127845
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`128501
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`128768
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`129060
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`129570
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`130077
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`130573
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`130765
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`131773
dFortranCode`0`x`()->Join(SetCategory,etc)``FC`135544
dFortranExpression`3`x`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`135650
dFortranProgram`4`x`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`135809
dFortranScalarType`0`x`()->Join(CoercibleTo(OutputForm),etc)``FST`135980
dFortranTemplate`0`x`()->Join(FileCategory(FileName,String),etc)``FTEM`136120
dFortranType`0`x`()->Join(SetCategory,etc)``FT`136163
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`136271
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`136480
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`136676
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`136930
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`136975
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`137025
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`137245
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`137479
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`137704
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`138125
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`138330
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`138569
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`138709
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`139071
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`139116
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`139284
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`139356
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`139917
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`139950
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`139986
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`140104
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`140771
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`141068
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`141234
dHasAst`0`x`()->Join(SpadSyntaxCategory,etc)``HASAST`141345
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`141394
dHeadAst`0`x`()->Join(SpadSyntaxCategory,etc)``HEADAST`141553
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`141610
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`141677
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`141772
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`142110
dHostname`0`x`()->Join(SetCategory,etc)``HOSTNAME`142519
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`142579
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`142919
dIP4Address`0`x`()->Join(SetCategory,etc)``IP4ADDR`143028
dIdentifier`0`x`()->Join(SetCategory,etc)``IDENT`143110
dIfAst`0`x`()->Join(SpadSyntaxCategory,etc)``IFAST`143298
dImportAst`0`x`()->Join(SpadSyntaxCategory,etc)``IMPTAST`143360
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`143411
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`143466
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`143560
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`143658
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`143865
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`144074
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`144216
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`144414
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`144648
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`144870
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`145948
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`146441
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`146912
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`147020
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`147067
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`147639
dInetClientStreamSocket`0`x`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTupleFunctions2`2`x`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`147757
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`147818
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`147919
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`147968
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`148196
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`148252
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`148395
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`148504
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`148707
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`148834
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`148942
dInputBinaryFile`0`x`()->Join(InputByteConduit,etc)``INBFILE`149318
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`149475
dInputOutputBinaryFile`0`x`()->Join(InputOutputByteConduit,etc)``IOBFILE`149627
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`149798
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`149880
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`149962
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`150044
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`150125
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`150218
dIntegrationFunctionsTable`0`x`()->etc``INTFTBL`150296
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`150313
dInternalRepresentationForm`0`x`()->Join(SetCategory,etc)``IRFORM`150819
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`150932
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`150999
dIsAst`0`x`()->Join(SpadSyntaxCategory,etc)``ISAST`151315
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`151364
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`151414
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`151462
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`151503
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`151552
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`151602
dJoinAst`0`x`()->Join(SpadSyntaxCategory,etc)``JOINAST`151650
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`151708
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`151810
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`151907
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`151975
dLetAst`0`x`()->Join(SpadSyntaxCategory,etc)``LETAST`152135
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`152188
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`152253
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`152615
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`152800
dLinearBasis`1`x`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`153147
dLinearElement`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`153342
dLinearForm`2`x`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`153481
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`153617
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`153863
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`154144
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`154400
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`154571
dLiteral`1`x`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`154856
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`154908
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`155048
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`155234
dMachineComplex`0`x`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`156093
dMachineFloat`0`x`()->Join(FloatingPointSystem,etc)``MFLOAT`156195
dMachineInteger`0`x`()->Join(FortranMachineTypeCategory,etc)``MINT`156297
dMacroAst`0`x`()->Join(SpadSyntaxCategory,etc)``MACROAST`156392
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`156455
dMappingAst`0`x`()->Join(SpadSyntaxCategory,etc)``MAPPAST`156647
dMapping`1`x`special`(T,S)`MAPPING`156857
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`157096
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`157191
dMaybe`1`x`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`157292
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`157409
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`157442
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`157664
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`157873
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`157906
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`157955
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`158078
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`159030
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`159077
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`159399
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`159648
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`159830
dNone`0`n`()->SetCategory``NONE`159926
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`160143
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`160282
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`160805
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`160864
dOpenMathConnection`0`x`()->etc``OMCONN`160968
dOpenMathDevice`0`x`()->etc``OMDEV`161105
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`161297
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`161371
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`161530
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`161595
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`161651
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`161700
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`161931
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`162224
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`162339
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`162669
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`163261
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`163385
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`163432
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`163738
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`164426
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`164547
dOutputBinaryFile`0`x`()->Join(OutputByteConduit,etc)``OUTBFILE`164775
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`164933
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`165195
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`165284
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`165469
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`165535
dPair`2`x`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`165710
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`165875
dParameterAst`0`x`()->Join(SpadSyntaxCategory,etc)``PARAMAST`165943
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`166134
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`166227
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`166318
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`166402
dPartition`0`x`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`167235
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`167467
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`167703
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`167924
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`167971
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`168106
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`168575
dPi`0`x`()->Join(Field,etc)``HACKPI`169068
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`169379
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`169642
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`169978
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`170343
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`170671
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`170727
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`171235
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`171599
dPortNumber`0`x`()->Join(SetCategory,etc)``PORTNUM`171888
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`171961
dPretendAst`0`x`()->Join(SpadSyntaxCategory,etc)``PRTDAST`172050
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`172102
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`172296
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`172434
dProperty`0`x`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`172481
dPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`172642
dPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`172723
dPropositionalFormula`1`x`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`172805
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`172926
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`172989
dQuasiquoteAst`0`x`()->Join(SpadSyntaxCategory,etc)``QQUTAST`174708
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`174790
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`175093
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`175146
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`175190
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`175249
dRangeBinding`2`x`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`175394
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`175526
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`175593
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`175829
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`175964
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`176016
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`176107
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`176322
dRepeatAst`0`x`()->Join(SpadSyntaxCategory,etc)``RPTAST`176753
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`176812
dRestrictAst`0`x`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`177014
dResult`0`x`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`177067
dReturnAst`0`x`()->Join(SpadSyntaxCategory,etc)``RETAST`177263
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`177314
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`177489
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`177586
dRoutinesTable`0`x`()->Join(TableAggregate(Symbol,Any),etc)``ROUTINE`177692
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`177811
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`177852
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`177921
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`178017
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`178103
dScope`0`x`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`178171
dSegmentAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEGAST`178326
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`178377
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`178532
dSequenceAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEQAST`178605
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`178658
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`178915
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`179590
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`179704
dSignatureAst`0`x`()->Join(SpadSyntaxCategory,etc)``SIGAST`180758
dSignature`0`x`()->Join(SetCategory,etc)``SIG`180974
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`181193
dSimpleFortranProgram`2`x`(R:SetCategory,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`181772
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`182044
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`182115
dSpadAst`0`n`()->SpadAstExports``SPADAST`182203
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`182458
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`182806
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`183091
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`183209
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`183769
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`184143
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`184714
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`184876
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`185457
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`185931
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`186554
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`187596
dSquareMatrix`2`x`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`188074
dStack`1`x`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`188220
dStepAst`0`x`()->Join(SpadSyntaxCategory,etc)``STEPAST`188264
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`188336
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`188506
dString`0`x`()->Join(StringAggregate,etc)``STRING`0
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`188617
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`188683
dSuchThatAst`0`x`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`188715
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`188772
dSwitch`0`x`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`188819
dSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`188932
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`189002
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`189036
dSyntax`0`x`()->Join(UnionType,etc)``SYNTAX`189086
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`189948
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`190440
dSystemPointer`0`n`()->SetCategory``SYSPTR`190934
dSystem`0`n`()->Join(Type,etc)``SYSTEM`190995
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`191102
dTableau`1`x`(SetCategory)->etc`(S)`TABLEAU`191326
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`191469
dTermAlgebraOperator`1`n`(SetCategory)->Join(OperatorCategory(S),etc)`(S)`TALGOP`191600
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`191713
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`192423
dTheSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMS`192561
dThreeDimensionalMatrix`1`x`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`192711
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`192794
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`192976
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`193138
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`193285
dTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R)),etc)`(R)`ARRAY2`193408
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`193526
dTypeAst`0`x`()->SpadSyntaxCategory``TYPEAST`193592
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`193633
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`193717
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`193801
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`193885
dUnion`1`x`special`(A,B,...,C)`union`193968
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`194116
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`194441
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`194988
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`195203
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`195531
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`196060
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`196618
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`196793
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`197261
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`197378
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`197417
dVoid`0`x`()->Join(CoercibleTo(OutputForm),etc)``VOID`197544
dWeightedPolynomials`7`n`(R:Ring,VarSet:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(R,E,VarSet),List(VarSet),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,VarSet,E,P,vl,wl,wtlevel)`WP`197768
dWhereAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHEREAST`198030
dWhileAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHILEAST`198095
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`198153
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`199190
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`199394
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`199671
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`199972
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`200239
dYoungDiagram`0`n`()->Join(SetCategory,etc)``YDIAGRAM`200449
dd01TransformFunctionType`0`x`()->NumericalIntegrationCategory``D01TRNS`0
dd01ajfAnnaType`0`x`()->NumericalIntegrationCategory``D01AJFA`200511
dd01akfAnnaType`0`x`()->NumericalIntegrationCategory``D01AKFA`200944
dd01alfAnnaType`0`x`()->NumericalIntegrationCategory``D01ALFA`201374
dd01amfAnnaType`0`x`()->NumericalIntegrationCategory``D01AMFA`201790
dd01anfAnnaType`0`x`()->NumericalIntegrationCategory``D01ANFA`202245
dd01apfAnnaType`0`x`()->NumericalIntegrationCategory``D01APFA`202712
dd01aqfAnnaType`0`x`()->NumericalIntegrationCategory``D01AQFA`203232
dd01asfAnnaType`0`x`()->NumericalIntegrationCategory``D01ASFA`203740
dd01fcfAnnaType`0`x`()->NumericalIntegrationCategory``D01FCFA`204233
dd01gbfAnnaType`0`x`()->NumericalIntegrationCategory``D01GBFA`204667
dd02bbfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BBFA`205101
dd02bhfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BHFA`205576
dd02cjfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02CJFA`206051
dd02ejfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02EJFA`206538
dd03eefAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03EEFA`207041
dd03fafAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03FAFA`207180
de04dgfAnnaType`0`x`()->NumericalOptimizationCategory``E04DGFA`207311
de04fdfAnnaType`0`x`()->NumericalOptimizationCategory``E04FDFA`207731
de04gcfAnnaType`0`x`()->NumericalOptimizationCategory``E04GCFA`208151
de04jafAnnaType`0`x`()->NumericalOptimizationCategory``E04JAFA`208571
de04mbfAnnaType`0`x`()->NumericalOptimizationCategory``E04MBFA`208991
de04nafAnnaType`0`x`()->NumericalOptimizationCategory``E04NAFA`209367
de04ucfAnnaType`0`x`()->NumericalOptimizationCategory``E04UCFA`209746
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xCollection&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->NonNegativeInteger`dDomainTemplate``210166
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``210236
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``210295
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,ATTRIBUTE(finiteAggregate))`210342
o#`1`x`(_$)->NonNegativeInteger`dPartition``210401
o**`2`n`(BasicOperator,Integer)->_$`dOperator(R)``0
o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``210474
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`210526
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``210597
o**`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o**`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o**`2`n`(S,Integer)->S`xGroup&(S)``0
o**`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o**`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,Integer)->_$`dFreeGroup(S)``210714
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`cFreeMonoidCategory(S)``210792
o**`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o**`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSemiGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o**`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``210870
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``210978
o**`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`211086
o**`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`211168
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``211251
o**`2`n`(_$,Integer)->_$`dInputForm``211321
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``211396
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``211471
o**`2`n`(_$,_$)->_$`dOutputForm``211526
o**`2`n`(_$,_$)->_$`dPattern(R)``211581
o**`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``211636
o**`2`x`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``211736
o**`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`211769
o**`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``211990
o**`2`x`(_$,Integer)->_$`cDivisionRing``212076
o**`2`x`(_$,Integer)->_$`cGroup``212149
o**`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`212222
o**`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`212369
o**`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``212478
o**`2`x`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`212511
o**`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``212603
o**`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``212722
o**`2`x`(_$,NonNegativeInteger)->_$`cMonoid``212822
o**`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``212933
o**`2`x`(_$,PositiveInteger)->_$`cMonad``213004
o**`2`x`(_$,PositiveInteger)->_$`cSemiGroup``213104
o**`2`x`(_$,_$)->_$`cElementaryFunctionCategory``213215
o**`2`x`(_$,_$)->_$`dCardinalNumber``213273
o**`2`x`(_$,_$)->_$`dDoubleFloat``213383
o**`2`x`(_$,_$)->_$`dFloat``213476
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``213546
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``213682
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
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o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``214235
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o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``214429
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oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``227310
oD`1`n`(S)->S`xDifferentialSpace&(S)``0
oD`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
oD`1`n`(S)->T`xDifferentialDomain&(S,T)``0
oD`1`x`(_$)->T`cDifferentialDomain(T)``227401
oD`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->T`xPartialDifferentialDomain&(A,T,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
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)``227460
oD`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``227526
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialSpace``227610
oD`2`x`(_$,S)->T`cPartialDifferentialDomain(T,S)``227686
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``227751
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``227821
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``227931
oEQ`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``228001
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``228091
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``228143
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``228264
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``228322
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``228380
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``228414
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``228500
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``228583
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`228623
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`228711
oGE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``228804
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``228893
oGT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``229024
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``229112
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``229188
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``229348
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``229508
oGamma`1`x`(_$)->_$`dDoubleFloat``229559
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``229610
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``229698
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``229756
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``230318
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``230438
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``230643
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``231067
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``231204
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`231332
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`231579
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`231826
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``232100
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``232189
oLT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``232304
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``232392
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``232448
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`232571
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`232754
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``232894
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``232987
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``233148
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``233250
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``233350
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``233444
oListOfTerms`1`x`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``233537
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``233715
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``233924
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``234014
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``234113
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``234271
oNOT`1`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``234412
oNOT`1`x`(_$)->_$`dSwitch``234500
oNot`1`n`(_$)->_$`dIndexedBits(mn)``234588
oNot`1`x`(_$)->_$`dSingleInteger``234662
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``234755
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``234850
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``234980
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``235063
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``235142
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``235227
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``235320
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``235343
oOMclose`1`x`(_$)->Void`dOpenMathDevice``235368
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``235453
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``235482
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``235512
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``235538
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``235620
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``235709
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``235904
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``235980
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``236064
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``236151
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``236234
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``236327
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``236407
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``236493
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``236582
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``236667
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``236762
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``236844
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``236926
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``237010
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``237090
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``237158
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``237231
oOMgetString`1`x`(_$)->String`dOpenMathDevice``237313
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``237383
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``237453
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``237540
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``237614
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``237677
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``237752
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``237776
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``238027
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``238160
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``238244
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``238331
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``238414
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``238507
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``238587
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``238673
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``238762
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``238847
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``238942
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``239024
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``239106
oOMputError`1`x`(_$)->Void`dOpenMathDevice``239190
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``239270
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``239359
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``239452
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``239534
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``239625
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``239745
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``239840
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``239939
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``240037
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``240136
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``240263
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``240358
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``240557
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``240710
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``240825
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``240978
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``241141
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``241251
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``241399
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``241628
oOR`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``241873
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``241965
oOr`2`x`(_$,_$)->_$`dSingleInteger``242053
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``242161
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)``242292
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``242463
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``242574
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`242670
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``242732
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``242936
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``243207
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``243295
oSEGMENT`1`n`(_$)->_$`dOutputForm``243556
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``243618
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``243704
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``243768
oSFunction`1`x`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``243850
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``243997
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``244082
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``244210
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``244404
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``244486
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``244532
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``244649
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`244772
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``245044
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``245149
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``245413
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``245475
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``245534
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``245635
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``245678
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``245887
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``245928
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``245996
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``246156
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``246235
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``246279
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``246320
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``246366
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``246414
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``246548
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`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`246625
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`246754
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`246842
oabs`1`x`(_$)->_$`cOrderedAbelianGroup``246926
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``246987
oabs`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``247048
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``247115
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``247197
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``247279
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``247492
oacos`1`n`(F)->F`pElementaryFunction(R,F)``247581
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)``247651
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``247722
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``247793
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``247866
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``247941
oacos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``247999
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``248068
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``248159
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)``248241
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``248333
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``248425
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``248514
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``248605
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``248675
oacot`1`n`(F)->F`pElementaryFunction(R,F)``248764
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)``248837
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``248911
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``248985
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``249061
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``249139
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``249200
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``249291
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)``249376
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``249471
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``249566
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``249658
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``249752
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``249825
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``249914
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)``249986
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``250059
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``250132
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``250207
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``250284
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``250344
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``250435
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)``250519
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``250613
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``250707
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``250798
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``250891
oadaptive3D?`0`n`()->Boolean`dPlot3D``250963
oadaptive?`0`n`()->Boolean`dPlot``251039
oadaptive`0`x`()->Boolean`pGraphicsDefaults``251112
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``251190
oadaptive`1`x`(Boolean)->_$`dDrawOption``251299
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``251480
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``251688
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``251834
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``251986
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``252359
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``252597
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``252774
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``253062
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``253221
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``253994
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``254735
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``254963
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`255039
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``255215
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`255275
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`255348
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``255465
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``255537
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``255693
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``255849
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``255908
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``255980
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``256136
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``256292
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``256351
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``256663
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``256975
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``257093
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``257230
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)->_$`dRealClosure(TheField)``257414
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``257470
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``257605
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``257739
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``257870
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``258046
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(_$)`cRealClosedField``258140
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``258229
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``258318
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``258407
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``258496
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``258585
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``258674
oalphabetic?`1`x`(_$)->Boolean`dCharacter``258783
oalphabetic`0`x`()->_$`dCharacterClass``258898
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``259024
oalphanumeric`0`x`()->_$`dCharacterClass``259166
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``259296
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``259747
oalternating`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``260110
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``260216
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``260447
oand`2`n`(_$,_$)->_$`dOutputForm``260678
oand`2`x`(_$,_$)->_$`cBooleanLogic``260735
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`260807
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``260916
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``261109
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``261302
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``261463
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``261624
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``261682
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``261720
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``261925
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`262130
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`262694
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))`263276
oany`2`x`(SExpression,None)->_$`dAny``263518
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``263708
oappend`2`x`(_$,_$)->_$`dList(S)``263888
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``264044
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``264119
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``264176
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``264238
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``264305
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``264377
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``264590
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``264711
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``264969
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``265126
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``265240
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``265368
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``265490
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``265804
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``266015
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`266115
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``266250
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``266388
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``266515
oarbitrary`0`x`()->_$`dArity``266647
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`266730
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`266858
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`267000
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``268297
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``268349
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``268402
oargumentList!`1`x`(List(Symbol))->Void`dTheSymbolTable``268495
oargumentList!`2`x`(Symbol,List(Symbol))->Void`dTheSymbolTable``268625
oargumentList!`3`x`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``268754
oargumentListOf`2`x`(Symbol,_$)->List(Symbol)`dTheSymbolTable``268887
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``268961
oargument`1`n`(_$)->List(S)`dKernel(S)``269039
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`269105
oarguments`1`x`(_$)->List(Syntax)`dConstructorCall(C)``269185
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`x`(_$)->Arity`cOperatorCategory(S)``269297
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``269366
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``270152
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``270309
oasec`1`n`(F)->F`pElementaryFunction(R,F)``270398
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)``270468
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``270539
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``270610
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``270683
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``270758
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``270816
oasech`1`n`(F)->F`pElementaryFunction(R,F)``270907
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)``270989
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``271081
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``271173
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``271262
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``271353
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``271423
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``272209
oasin`1`n`(F)->F`pElementaryFunction(R,F)``272298
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)``272366
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``272435
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``272504
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``272575
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``272648
oasin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``272704
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``272773
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``272864
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)``272944
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``273034
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``273124
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``273211
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``273300
oaspFilename`1`x`(String)->String`pNAGLinkSupportPackage``273368
oassert`2`x`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``273521
oassert`2`x`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``273629
oassert`2`x`(_$,Identifier)->_$`dBasicOperator``273701
oassign`2`n`(_$,_$)->_$`dOutputForm``273850
oassign`2`x`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``273925
oassign`2`x`(Symbol,Expression(Float))->_$`dFortranCode``274007
oassign`2`x`(Symbol,Expression(Integer))->_$`dFortranCode``274089
oassign`2`x`(Symbol,Expression(MachineComplex))->_$`dFortranCode``274171
oassign`2`x`(Symbol,Expression(MachineFloat))->_$`dFortranCode``274253
oassign`2`x`(Symbol,Expression(MachineInteger))->_$`dFortranCode``274335
oassign`2`x`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``274417
oassign`2`x`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``274499
oassign`2`x`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``274581
oassign`2`x`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``274663
oassign`2`x`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``274745
oassign`2`x`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``274827
oassign`2`x`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``274909
oassign`2`x`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``274991
oassign`2`x`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``275073
oassign`2`x`(Symbol,String)->_$`dFortranCode``275155
oassign`2`x`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``275237
oassign`2`x`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``275319
oassign`2`x`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``275401
oassign`2`x`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``275483
oassign`2`x`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``275565
oassign`2`x`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``275647
oassign`2`x`(Symbol,Vector(MachineComplex))->_$`dFortranCode``275729
oassign`2`x`(Symbol,Vector(MachineFloat))->_$`dFortranCode``275811
oassign`2`x`(Symbol,Vector(MachineInteger))->_$`dFortranCode``275893
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``275975
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``276143
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``276311
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``276479
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``276647
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``276815
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``276983
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`277139
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``277329
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``277473
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``277601
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``277681
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``277761
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`278102
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``278443
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``278507
oatan`1`n`(F)->F`pElementaryFunction(R,F)``278596
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``278667
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``278739
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``278811
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``278885
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``278961
oatan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``279020
oatan`2`x`(_$,_$)->_$`dDoubleFloat``279089
oatan`2`x`(_$,_$)->_$`dFloat``279173
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``279257
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``279348
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``279431
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``279524
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``279617
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``279707
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``279799
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``279870
oatoms`1`n`(PropositionalFormula(T))->Set(T)`dPropositionalFormulaFunctions1(T)``279936
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``280021
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``280114
oatt2Result`1`x`(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The botto--m of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))->Result`pExpertSystemToolsPackage``280908
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``280991
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)``281126
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``281222
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``281392
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``281486
oautoCoerce`1`x`(_$)->AttributeAst`cSpadAstExports``281915
oautoCoerce`1`x`(_$)->CapsuleAst`cSpadAstExports``282021
oautoCoerce`1`x`(_$)->CaseAst`cSpadAstExports``282125
oautoCoerce`1`x`(_$)->CategoryAst`cSpadAstExports``282226
oautoCoerce`1`x`(_$)->CoerceAst`cSpadAstExports``282331
oautoCoerce`1`x`(_$)->CollectAst`cSpadAstExports``282434
oautoCoerce`1`x`(_$)->ColonAst`cSpadAstExports``282538
oautoCoerce`1`x`(_$)->ConstructAst`cSpadAstExports``282641
oautoCoerce`1`x`(_$)->DefinitionAst`cSpadAstExports``282747
oautoCoerce`1`x`(_$)->DoubleFloat`dSyntax``282854
oautoCoerce`1`x`(_$)->ExitAst`cSpadAstExports``283007
oautoCoerce`1`x`(_$)->HasAst`cSpadAstExports``283108
oautoCoerce`1`x`(_$)->Identifier`cSpadAstExports``283208
oautoCoerce`1`x`(_$)->Identifier`dParameterAst``283312
oautoCoerce`1`x`(_$)->Identifier`dSyntax``283472
oautoCoerce`1`x`(_$)->IfAst`cSpadAstExports``283636
oautoCoerce`1`x`(_$)->ImportAst`cSpadAstExports``283735
oautoCoerce`1`x`(_$)->InAst`cSpadAstExports``283838
oautoCoerce`1`x`(_$)->Integer`cSpadAstExports``283937
oautoCoerce`1`x`(_$)->Integer`dSyntax``284038
oautoCoerce`1`x`(_$)->IsAst`cSpadAstExports``284195
oautoCoerce`1`x`(_$)->JoinAst`cSpadAstExports``284294
oautoCoerce`1`x`(_$)->LetAst`cSpadAstExports``284428
oautoCoerce`1`x`(_$)->MacroAst`cSpadAstExports``284528
oautoCoerce`1`x`(_$)->MappingAst`cSpadAstExports``284630
oautoCoerce`1`x`(_$)->PretendAst`cSpadAstExports``284734
oautoCoerce`1`x`(_$)->RepeatAst`cSpadAstExports``284838
oautoCoerce`1`x`(_$)->RestrictAst`cSpadAstExports``284941
oautoCoerce`1`x`(_$)->ReturnAst`cSpadAstExports``285046
oautoCoerce`1`x`(_$)->SegmentAst`cSpadAstExports``285149
oautoCoerce`1`x`(_$)->SequenceAst`cSpadAstExports``285253
oautoCoerce`1`x`(_$)->SignatureAst`cSpadAstExports``285358
oautoCoerce`1`x`(_$)->StepAst`cSpadAstExports``285464
oautoCoerce`1`x`(_$)->String`cSpadAstExports``285568
oautoCoerce`1`x`(_$)->String`dParameterAst``285668
oautoCoerce`1`x`(_$)->String`dSyntax``285820
oautoCoerce`1`x`(_$)->SuchThatAst`cSpadAstExports``285975
oautoCoerce`1`x`(_$)->T`dMaybe(T)``286080
oautoCoerce`1`x`(_$)->WhereAst`cSpadAstExports``286210
oautoCoerce`1`x`(_$)->WhileAst`cSpadAstExports``286312
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``286414
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``286591
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``286680
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``286791
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``287020
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``287265
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``287523
oback`1`x`(_$)->S`cQueueAggregate(S)``287763
obackspace`0`x`()->_$`dCharacter``287911
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``287971
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``288009
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``288047
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``288179
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``288276
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``288392
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``288568
obandedHessian`3`x`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``288724
obandedJacobian`4`x`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``289301
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``290036
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``290243
obase`0`x`()->PositiveInteger`cFloatingPointSystem``290425
obase`0`x`()->_$`cIntegerNumberSystem``290515
obase`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``290603
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``290664
obase`1`x`(_$)->SpadAst`dAddAst``290726
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``290812
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``291144
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``291333
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``291572
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``291728
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``291894
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``292018
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``292191
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``292372
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``292547
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``292756
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``292881
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``293055
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``293238
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``293313
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``293376
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``293439
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``293534
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``293606
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``293672
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`293762
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``293834
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``293941
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``293991
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedType&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`x`(_$,_$)->Boolean`cBasicType``294091
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``294234
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``294378
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``294461
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``294541
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``294627
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``294688
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``294775
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`294862
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``294906
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``295212
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``295365
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``295454
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``295663
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``295872
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``295950
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``296039
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``296239
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``296439
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``296508
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``296597
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``296972
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``297348
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``297427
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``297516
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``297888
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``298260
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`298330
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``298466
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`298571
obfEntry`1`x`(Symbol)->Record(zeros:Stream(DoubleFloat),ones:Stream(DoubleFloat),singularities:Stream(DoubleFloat))`dBasicFunctions``298723
obfKeys`0`x`()->List(Symbol)`dBasicFunctions``298832
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``298930
obigEndian`0`n`()->_$`dByteOrder``299306
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``299356
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``299408
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``299456
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``299574
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``299679
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``299808
obinary`2`n`(_$,List(_$))->_$`dInputForm``299882
obinding`2`x`(Identifier,List(Property))->_$`dBinding``299990
obindings`1`x`(_$)->List(Binding)`dContour``300083
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`300160
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``300257
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``300418
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``300460
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``300558
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``300760
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``300948
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``301235
obirth`1`n`(_$)->_$`dSubSpace(n,R)``301474
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``301511
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``301606
obitLength`1`n`(Integer)->Integer`pIntegerBits``301682
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``301763
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``301856
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitand`2`x`(_$,_$)->_$`dByte``301924
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``301992
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`x`(_$,_$)->_$`dByte``302069
obits`0`x`()->PositiveInteger`cFloatingPointSystem``302154
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`302212
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``302305
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``302375
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``302489
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``302653
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``302865
oblock`1`x`(List(_$))->_$`dFortranCode``302960
oblue`0`x`()->_$`dColor``303050
oblue`1`x`(_$)->T`cRGBColorModel(T)``303125
obody`1`n`(_$)->SpadAst`dReduceAst``303184
obody`1`n`(_$)->Syntax`dAnonymousFunction``303252
obody`1`x`(_$)->List(SpadAst)`dCapsuleAst``303320
obody`1`x`(_$)->List(SpadAst)`dCategoryAst``303402
obody`1`x`(_$)->List(SpadAst)`dCommaAst``303476
obody`1`x`(_$)->List(SpadAst)`dSequenceAst``303545
obody`1`x`(_$)->SpadAst`dAddAst``303635
obody`1`x`(_$)->SpadAst`dCollectAst``303715
obody`1`x`(_$)->SpadAst`dDefinitionAst``303806
obody`1`x`(_$)->SpadAst`dMacroAst``303879
obody`1`x`(_$)->SpadAst`dRepeatAst``303952
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``304008
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``304085
obothWays`0`n`()->_$`dIOMode``304169
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``304251
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`304333
obounds`1`x`(_$)->List(SpadAst)`dSegmentAst``304401
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``304546
obox`1`x`(List(_$))->_$`cExpressionSpace``304595
obox`1`x`(_$)->_$`cExpressionSpace``304896
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``305133
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``305309
obrace`1`n`(_$)->_$`dOutputForm``305440
obrace`1`x`(List(S))->_$`cSetAggregate(S)``305527
obracket`1`n`(List(_$))->_$`dOutputForm``305701
obracket`1`n`(_$)->_$`dOutputForm``305835
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``305916
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``306082
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``306248
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``306324
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``306403
obright`1`x`(Color)->_$`dPalette``306488
obright`1`x`(List(String))->List(String)`pDisplayPackage``306582
obright`1`x`(String)->List(String)`pDisplayPackage``306684
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``306773
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``306933
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``307234
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``307330
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``307467
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``307508
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)``307551
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``307811
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`308335
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``308378
obuildSyntax`2`x`(Identifier,List(_$))->_$`dSyntax``308423
obuildSyntax`2`x`(_$,List(_$))->_$`dSyntax``308528
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``308633
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``308674
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``308839
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``308980
obyteBuffer`1`x`(NonNegativeInteger)->_$`dByteBuffer``309121
obyte`1`x`(NonNegativeInteger)->_$`dByte``309204
obytes`1`x`(_$)->DataArray(4,Byte)`dIP4Address``309332
oc02aff`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``309401
oc02agf`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``309578
oc05adf`6`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagRootFindingPackage``309752
oc05nbf`6`x`(Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp6(FCN)))->Result`pNagRootFindingPackage``309987
oc05pbf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp35(FCN)))->Result`pNagRootFindingPackage``310204
oc06eaf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``310464
oc06ebf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``310658
oc06ecf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``310865
oc06ekf`5`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``311064
oc06fpf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``311255
oc06fqf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``311529
oc06frf`7`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``311816
oc06fuf`8`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``312095
oc06gbf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``312373
oc06gcf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``312503
oc06gqf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``312647
oc06gsf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``312796
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313041
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313167
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313310
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313439
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313585
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313713
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313858
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`313984
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314127
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314251
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314392
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314519
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314663
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314785
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`314919
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315044
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315181
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315305
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315441
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315568
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315693
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315835
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`315940
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`316062
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`316196
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`316316
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`316448
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`316571
ocache`0`n`()->List(S)`pSortedCache(S)``316706
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``316765
ocallForm?`1`x`(_$)->Boolean`dElaboratedExpression``316807
ocall`1`x`(String)->_$`dFortranCode``316880
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``316955
ocapacity`1`x`(_$)->NonNegativeInteger`dByteBuffer``317067
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``317144
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``317194
ocarriageReturn`0`x`()->_$`dCharacter``317310
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``317367
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``317449
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``317513
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``317576
ocase`2`x`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``317644
ocase`2`x`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``317716
ocase`2`x`(_$,[||](CaseAst))->Boolean`cSpadAstExports``317790
ocase`2`x`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``317862
ocase`2`x`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``317940
ocase`2`x`(_$,[||](CollectAst))->Boolean`cSpadAstExports``318016
ocase`2`x`(_$,[||](ColonAst))->Boolean`cSpadAstExports``318094
ocase`2`x`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``318168
ocase`2`x`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``318245
ocase`2`x`(_$,[||](DoubleFloat))->Boolean`dSyntax``318318
ocase`2`x`(_$,[||](ExitAst))->Boolean`cSpadAstExports``318397
ocase`2`x`(_$,[||](HasAst))->Boolean`cSpadAstExports``318470
ocase`2`x`(_$,[||](Identifier))->Boolean`cSpadAstExports``318540
ocase`2`x`(_$,[||](Identifier))->Boolean`dParameterAst``318611
ocase`2`x`(_$,[||](Identifier))->Boolean`dSyntax``318717
ocase`2`x`(_$,[||](IfAst))->Boolean`cSpadAstExports``318795
ocase`2`x`(_$,[||](ImportAst))->Boolean`cSpadAstExports``318863
ocase`2`x`(_$,[||](InAst))->Boolean`cSpadAstExports``318941
ocase`2`x`(_$,[||](Integer))->Boolean`cSpadAstExports``319006
ocase`2`x`(_$,[||](Integer))->Boolean`dSyntax``319079
ocase`2`x`(_$,[||](IsAst))->Boolean`cSpadAstExports``319151
ocase`2`x`(_$,[||](JoinAst))->Boolean`cSpadAstExports``319220
ocase`2`x`(_$,[||](LetAst))->Boolean`cSpadAstExports``319325
ocase`2`x`(_$,[||](MacroAst))->Boolean`cSpadAstExports``319403
ocase`2`x`(_$,[||](MappingAst))->Boolean`cSpadAstExports``319477
ocase`2`x`(_$,[||](PretendAst))->Boolean`cSpadAstExports``319549
ocase`2`x`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``319627
ocase`2`x`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``319698
ocase`2`x`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``319778
ocase`2`x`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``319853
ocase`2`x`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``319931
ocase`2`x`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``320014
ocase`2`x`(_$,[||](StepAst))->Boolean`cSpadAstExports``320092
ocase`2`x`(_$,[||](String))->Boolean`cSpadAstExports``320186
ocase`2`x`(_$,[||](String))->Boolean`dParameterAst``320256
ocase`2`x`(_$,[||](String))->Boolean`dSyntax``320340
ocase`2`x`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``320409
ocase`2`x`(_$,[||](T))->Boolean`dMaybe(T)``320490
ocase`2`x`(_$,[||](WhereAst))->Boolean`cSpadAstExports``320582
ocase`2`x`(_$,[||](WhileAst))->Boolean`cSpadAstExports``320674
ocase`2`x`(_$,[||](nothing))->Boolean`dMaybe(T)``320745
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``320818
ocategories`1`x`(_$)->List(TypeAst)`dJoinAst``320952
ocategoryFrame`0`x`()->_$`dEnvironment``321015
ocategoryMode`0`n`()->_$`dInternalTypeForm``321075
ocategory`0`n`()->_$`dConstructorKind``321140
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``321195
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`321254
oceiling`1`x`(_$)->_$`cRealNumberSystem``321333
ocenter`1`n`(_$)->_$`dOutputForm``321396
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``321458
ocenter`2`n`(_$,Integer)->_$`dOutputForm``321545
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``321625
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``321905
ocentral?`3`x`(DoubleFloat,DoubleFloat,List(Expression(DoubleFloat)))->Boolean`pd03AgentsPackage``322218
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``322264
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``322489
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``322532
ochangeBase`3`x`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``322674
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``322729
ochangeMeasure`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``322880
ochangeNameToObjf`2`x`(Symbol,Result)->Result`pe04AgentsPackage``322988
ochangeName`3`x`(Symbol,Symbol,Result)->Result`pd01AgentsPackage``323095
ochangeThreshhold`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``323210
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``323396
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``323479
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``323562
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``323700
ocharClass`1`x`(List(Character))->_$`dCharacterClass``323833
ocharClass`1`x`(String)->_$`dCharacterClass``323952
ochar`1`x`(NonNegativeInteger)->_$`dCharacter``324073
ochar`1`x`(String)->_$`dCharacter``324213
ocharacter?`1`x`(_$)->Boolean`dFortranScalarType``324294
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``324390
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``324499
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``324680
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``324846
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``325006
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``325155
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``325331
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``325514
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``325670
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``325941
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``326071
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``326451
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``326577
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``327346
ocharacteristic`0`x`()->NonNegativeInteger`cRing``327417
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``327625
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``327872
ocharthRoot`1`x`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`327990
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``328117
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``328243
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``328535
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``328724
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``329011
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``329195
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``329450
ocheckPrecision`0`x`()->Boolean`pNAGLinkSupportPackage``329721
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``329768
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``329887
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``330013
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``330049
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``330091
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`330132
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``330210
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``330249
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``330289
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``330369
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``330626
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)``330900
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``330954
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``331149
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``331187
oclearCache`0`n`()->Void`pSortedCache(S)``331540
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``331586
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``331744
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``331902
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``332047
oclearFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``332196
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``332268
oclearTheFTable`0`x`()->Void`dIntegrationFunctionsTable``332363
oclearTheIFTable`0`x`()->Void`dODEIntensityFunctionsTable``332433
oclearTheSymbolTable`0`x`()->Void`dTheSymbolTable``332514
oclearTheSymbolTable`1`x`(Symbol)->Void`dTheSymbolTable``332583
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``332663
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``332710
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``332924
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``333293
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``333690
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``333784
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``333949
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``334252
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``334598
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``334873
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``335154
oclip`1`x`(Boolean)->_$`dDrawOption``335438
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``335602
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``335760
oclose!`1`x`(_$)->_$`cConduit``336069
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``336203
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``336281
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``336746
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``336950
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``337158
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``337197
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``337236
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``337315
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``337551
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``337814
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``338157
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``338688
oclosed`0`n`()->_$`dIOMode``338953
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``339021
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`339110
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``339191
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``339288
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``339329
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``339445
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``339612
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``339694
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``339824
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``339869
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``339995
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``340069
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``340260
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``340479
ocoefficient`2`x`(_$,Basis)->R`cFreeModuleCat(R,Basis)``340629
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``340709
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``340876
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``340990
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``341064
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``341171
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``341278
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``341404
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``341619
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``341703
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``341858
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``341921
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``342262
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCat(R,Basis)``342356
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``342432
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``342524
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`342674
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`342986
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``343298
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``343427
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``343721
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``343854
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``344068
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOperatorCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``344188
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``344275
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``344362
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))->_$`dXPBWPolynomial(VarSet,R)``344497
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``344555
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``344812
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``345316
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``345410
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``345492
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``345564
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``345702
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``345840
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``345949
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``346014
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``346054
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``346143
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``346245
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``346334
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``346436
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``346610
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``346751
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``346867
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``346995
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``347147
ocoerce`1`n`(_$)->OutputForm`dGraphImage``347298
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``347446
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``347628
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``347666
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``347704
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``347742
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``347785
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``347874
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``347960
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``348049
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``348133
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``348216
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``348379
ocoerce`1`x`(Character)->_$`cStringAggregate``348536
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``348627
ocoerce`1`x`(Color)->_$`dPalette``348704
ocoerce`1`x`(Complex(Float))->_$`dMachineComplex``348808
ocoerce`1`x`(Complex(Integer))->_$`dMachineComplex``348874
ocoerce`1`x`(Complex(MachineFloat))->_$`dMachineComplex``348940
ocoerce`1`x`(Complex(MachineInteger))->_$`dMachineComplex``349006
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``349072
ocoerce`1`x`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``349131
ocoerce`1`x`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349172
ocoerce`1`x`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349213
ocoerce`1`x`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349254
ocoerce`1`x`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349295
ocoerce`1`x`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349336
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``349377
ocoerce`1`x`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``349534
ocoerce`1`x`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``349574
ocoerce`1`x`(Expression(Integer))->Expression(_$)`dMachineInteger``349614
ocoerce`1`x`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``349687
ocoerce`1`x`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``349727
ocoerce`1`x`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``349767
ocoerce`1`x`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``349807
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``349847
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``350291
ocoerce`1`x`(FortranCode)->_$`cFortranFunctionCategory``350738
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixCategory``350855
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixFunctionCategory``350972
ocoerce`1`x`(FortranCode)->_$`cFortranVectorCategory``351089
ocoerce`1`x`(FortranCode)->_$`cFortranVectorFunctionCategory``351206
ocoerce`1`x`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``351323
ocoerce`1`x`(FortranExpression(construct('X),construct('Y),MachineFloat))->_$`dAsp9(name)``351364
ocoerce`1`x`(FortranExpression(construct('X),construct,MachineFloat))->_$`dAsp1(name)``351497
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp4(name)``351630
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp49(name)``351763
ocoerce`1`x`(FortranExpression(construct,construct('XC),MachineFloat))->_$`dAsp24(name)``351896
ocoerce`1`x`(FortranScalarType)->_$`dFortranType``352029
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``352091
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``352158
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``352450
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`352600
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`352662
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``352724
ocoerce`1`x`(Integer)->_$`dOrdSetInts``352804
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``352874
ocoerce`1`x`(List(FortranCode))->_$`cFortranFunctionCategory``352967
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixCategory``353089
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``353211
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorCategory``353333
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorFunctionCategory``353455
ocoerce`1`x`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``353577
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``353619
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``353943
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``354045
ocoerce`1`x`(List(S))->_$`dPermutation(S)``354129
ocoerce`1`x`(List(TypeAst))->_$`dImportAst``354357
ocoerce`1`x`(List(TypeAst))->_$`dJoinAst``354430
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``354497
ocoerce`1`x`(MachineInteger)->_$`dMachineFloat``354581
ocoerce`1`x`(Matrix(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp77(name)``354653
ocoerce`1`x`(Matrix(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp74(name)``354786
ocoerce`1`x`(Matrix(FortranExpression(construct('XL,'XR,'ELAM),construct,MachineFloat)))->_$`dAsp80(name)``354919
ocoerce`1`x`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``355052
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``355129
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``355219
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``355288
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``355414
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`355515
ocoerce`1`x`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``355577
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``355706
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``355792
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``355882
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->_$`dNumericalOptimizationProblem``355948
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``355988
ocoerce`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->_$`dNumericalOptimizationProblem``356028
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``356068
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``356260
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``356452
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``356644
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``356836
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``357028
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))->_$`dNumericalPDEProblem``357068
ocoerce`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``357108
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))->_$`dNumericalODEProblem``357148
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``357188
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``357291
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``357372
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``357599
ocoerce`1`x`(S)->_$`cCoercibleFrom(S)``357934
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``357998
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``358094
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``358169
ocoerce`1`x`(Signature)->_$`dMappingAst``358303
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``358372
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`358444
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``358506
ocoerce`1`x`(String)->_$`dFortranScalarType``358565
ocoerce`1`x`(String)->_$`dIndexCard``358854
ocoerce`1`x`(Symbol)->_$`dFortranScalarType``359027
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``359291
ocoerce`1`x`(Symbol)->_$`dSwitch``359535
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``359575
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)))->_$`dNumericalIntegrationProblem``359638
ocoerce`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->_$`dNumericalOptimizationProblem``359678
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``359718
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``359795
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``359873
ocoerce`1`x`(Vector(FortranExpression(construct('EPS),construct('YA,'YB),MachineFloat)))->_$`dAsp42(nameOne,nameTwo,nameThree)``359962
ocoerce`1`x`(Vector(FortranExpression(construct('JINT,'X,'ELAM),construct,MachineFloat)))->_$`dAsp10(name)``360095
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp31(name)``360228
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp7(name)``360361
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp78(name)``360494
ocoerce`1`x`(Vector(FortranExpression(construct('X,'EPS),construct('Y),MachineFloat)))->_$`dAsp41(nameOne,nameTwo,nameThree)``360627
ocoerce`1`x`(Vector(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp73(name)``360760
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp35(name)``360893
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp55(name)``361026
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp19(name)``361159
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp50(name)``361292
ocoerce`1`x`(Vector(MachineFloat))->_$`cFortranVectorCategory``361425
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``361502
ocoerce`1`x`(_$)->Complex(Float)`dMachineComplex``361709
ocoerce`1`x`(_$)->DoubleFloat`dSyntax``361774
ocoerce`1`x`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``361842
ocoerce`1`x`(_$)->Float`dMachineFloat``361882
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``361952
ocoerce`1`x`(_$)->Identifier`dSyntax``362054
ocoerce`1`x`(_$)->Integer`dSyntax``362122
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``362193
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``362264
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``362349
ocoerce`1`x`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``362420
ocoerce`1`x`(_$)->SExpression`dFortranScalarType``362493
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``362574
ocoerce`1`x`(_$)->String`dSyntax``362640
ocoerce`1`x`(_$)->Symbol`dFortranScalarType``362709
ocoerce`1`x`(_$)->Table(Symbol,FortranType)`dSymbolTable``362777
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``362834
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``362918
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``363002
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``363044
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``363805
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``363939
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``364089
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``364242
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``364380
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``364689
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``364872
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``365080
ocolor`1`n`(Point(R))->R`pPointPackage(R)``365304
ocolor`1`x`(Integer)->_$`dColor``365617
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``365687
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``365813
ocombineFeatureCompatibility`2`x`(Float,Float)->Float`pd02AgentsPackage``365935
ocombineFeatureCompatibility`2`x`(Float,List(Float))->Float`pd02AgentsPackage``366014
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``366092
ocommaSeparate`1`x`(List(String))->String`pd01AgentsPackage``366187
ocomment`1`x`(List(String))->_$`dFortranCode``366276
ocomment`1`x`(String)->_$`dFortranCode``366383
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``366485
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``366594
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``366703
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``366806
ocommon`2`x`(Symbol,List(Symbol))->_$`dFortranCode``366913
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``366996
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``367080
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``367164
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``367281
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``367352
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``367406
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``367648
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``367692
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``367893
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``368057
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``368320
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``368359
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``368675
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``368866
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`369074
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``369205
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``369325
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``369720
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``369989
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``370191
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``370360
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``370557
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``370796
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``370943
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``371007
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``371156
ocomplex?`1`x`(_$)->Boolean`dFortranScalarType``371409
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``371501
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``371747
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``372113
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``372258
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``372403
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``372585
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``372767
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``372863
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``372959
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``373021
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``373083
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`373206
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``373329
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``373420
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``373544
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``373668
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``373784
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``373900
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``374038
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374176
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374311
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`374446
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`374581
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`374716
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`374849
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`374984
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375152
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`375320
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`375488
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`375626
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`375794
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`375962
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376039
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376116
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`376193
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`376270
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`376347
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`376424
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``376501
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`376578
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376688
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376798
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`376908
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`377018
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377097
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`377207
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``377317
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``377427
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``377609
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``377921
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``378159
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``378379
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``378605
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``378827
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``379026
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``379159
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``379364
ocomponentUpperBound`0`x`()->T`cRGBColorModel(T)``379420
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``379491
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``379811
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``380286
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``380611
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``380852
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``380946
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``380987
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`381186
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`381310
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``381417
ocompound?`1`x`(_$)->Boolean`dSyntax``381766
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``381841
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``381882
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``382071
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``382240
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``382652
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``382696
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`382783
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`382934
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``383069
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`383173
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(Result))->Result`pExpertSystemToolsPackage``383336
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``383421
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``383771
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(Result,Result)->Result`pExpertSystemToolsPackage``383907
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``383981
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``384159
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``384397
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``384583
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``384953
oconcat`2`x`(_$,_$)->_$`dRoutinesTable``385133
ocond`2`x`(Switch,_$)->_$`dFortranCode``385199
ocond`3`x`(Switch,_$,_$)->_$`dFortranCode``385303
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``385423
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`385636
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``385905
ocondition`1`x`(_$)->SpadAst`dIfAst``385984
ocondition`1`x`(_$)->SpadAst`dWhileAst``386059
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`386135
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``386311
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``386488
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`386665
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``386874
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``387084
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``387167
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`387505
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``387560
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``387633
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``387708
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``387860
oconjugate`1`x`(_$)->_$`dPartition``387939
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``388022
oconjugates`1`x`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``388122
oconjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``388230
oconnectTo`2`x`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`x`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``388330
ocons`2`x`(S,_$)->_$`dList(S)``388608
ocons`2`x`(S,_$)->_$`dStream(S)``388776
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``388921
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``388962
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``389176
oconstant?`1`n`(_$)->Boolean`dPattern(R)``389280
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``389357
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``389455
oconstant?`1`x`(_$)->Boolean`dElaboratedExpression``389527
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``389596
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``390027
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``390072
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``390118
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``390218
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``390364
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``390479
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``390580
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``390806
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``390870
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``390957
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``391114
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``391235
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``391300
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``391436
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``391539
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``391625
oconstruct`1`x`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``391973
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``392072
oconstruct`1`x`(List(S))->_$`cCollection(S)``392127
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``392450
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``392517
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``392560
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``392671
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``392772
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``392873
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``392919
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``393039
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``393159
oconstruct`2`x`(S,T)->_$`dPair(S,T)``393260
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``393351
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``393463
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``393607
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``393852
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``394058
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``394127
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``394196
oconstructor`1`x`(_$)->C`dConstructorCall(C)``394477
oconstructor`1`x`(_$)->CategoryConstructor`dCategory``394565
oconstructor`1`x`(_$)->DomainConstructor`dDomain``394672
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``394779
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``394925
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`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`395005
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`395088
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)`395166
ocontinue`1`x`(SingleInteger)->_$`dFortranCode``395449
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``395545
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``395657
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``395769
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``395917
ocontours`1`x`(_$)->List(Contour)`dScope``396143
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``396217
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``396488
ocontract`2`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``396783
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``396882
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``397216
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``397645
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``397885
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``398129
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``398313
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``398394
oconvert`1`n`(List(_$))->_$`dPattern(R)``398497
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)->_$`dInputForm``398572
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`398632
oconvert`1`x`(List(Segment(OrderedCompletion(Float))))->List(Segment(OrderedCompletion(DoubleFloat)))`pExpertSystemToolsPackage``398808
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``398959
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``399003
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`399047
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`399127
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`399207
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``399287
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`399331
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cConvertibleFrom(S)``399508
oconvert`1`x`(SExpression)->_$`dSyntax``399573
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``399787
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``399831
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``399892
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``400046
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``400184
oconvert`1`x`(_$)->SExpression`dSyntax``400346
oconvert`1`x`(_$)->S`cConvertibleTo(S)``400431
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``400498
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``400608
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``400718
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``400995
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``401293
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``401425
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``401459
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``401661
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``401874
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``402092
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))->_$`dDrawOption``402306
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``402457
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``402670
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``402883
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``403052
ocoordinates`1`x`(_$)->Vector(K)`dLinearElement(K,B)``403171
ocoordinates`1`x`(_$)->Vector(K)`dLinearForm(K,B)``403281
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``403398
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``403512
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``403626
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``403774
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``404001
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``404204
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``404322
ocopies`2`x`(Integer,String)->String`pDisplayPackage``404470
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``404589
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`404732
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dPattern(R)``404850
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``404910
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``404968
ocopy`1`x`(_$)->_$`cAggregate``405004
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``405168
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``405216
ocopy`1`x`(_$)->_$`dBasicOperator``405309
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``405361
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``405417
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``405515
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``405602
ocos`1`n`(E)->_$`dFourierComponent(E)``405834
ocos`1`n`(F)->F`pElementaryFunction(R,F)``405900
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)``405961
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``406028
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``406095
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``406163
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``406233
ocos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``406286
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``406353
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``406455
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``406544
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)``406617
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``406700
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``406783
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``406863
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``406945
ocosh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``407010
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``407079
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``407177
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``407281
ocot`1`n`(F)->F`pElementaryFunction(R,F)``407368
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)``407432
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``407502
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``407572
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``407643
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``407716
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``407772
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``407874
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``407983
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``408072
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)``408148
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``408234
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``408320
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``408403
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``408488
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`408556
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``408663
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))`408733
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`408986
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``409174
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``409312
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``409454
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``409596
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``409793
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``409947
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``410301
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``410509
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``410629
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`410922
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411193
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411320
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``411536
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411647
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411845
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``411978
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``412087
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``412246
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``412682
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``412718
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``412760
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)``412794
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)``412831
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``412870
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)``412904
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``412942
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)``412976
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``413015
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``413235
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`413385
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``413535
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``413749
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``413847
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``413934
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)``413997
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``414066
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``414135
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``414205
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``414277
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``414332
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``414434
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``414523
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)``414598
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``414683
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``414768
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``414850
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``414934
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``415001
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``415052
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``415089
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``415132
ocurrentCategoryFrame`0`x`()->_$`dScope``415323
ocurrentEnv`0`x`()->_$`dEnvironment``415408
ocurrentScope`0`x`()->_$`dScope``415457
ocurrentSubProgram`0`x`()->Symbol`dTheSymbolTable``415524
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``415617
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``415716
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``415816
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``415905
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``416130
ocurveColor`1`x`(Float)->_$`dDrawOption``416356
ocurveColor`1`x`(Palette)->_$`dDrawOption``416499
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``416669
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``416859
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``417098
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``417199
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``417547
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``417712
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``417832
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``417979
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``418115
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``418255
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``418398
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`418617
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``419023
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``419113
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``419340
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`(_$)->Boolean`cRecursiveAggregate(S)``419670
ocyclic?`1`x`(_$)->Boolean`dTree(S)``419726
ocyclicCopy`1`x`(_$)->_$`dTree(S)``419787
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``419866
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``419950
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``420036
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``420217
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``420335
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`420421
ocyclic`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``421051
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``421147
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``421204
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``421261
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``421305
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``421509
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``421553
od01ajf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``421784
od01akf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``422038
od01alf`10`x`(DoubleFloat,DoubleFloat,Integer,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``422352
od01amf`8`x`(DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``422618
od01anf`10`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``422860
od01apf`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``423078
od01aqf`9`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``423358
od01asf`9`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``423567
od01bbf`6`x`(DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer)->Result`pNagIntegrationPackage``423780
od01fcf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``424025
od01gaf`4`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer)->Result`pNagIntegrationPackage``424325
od01gbf`10`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``424639
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``424993
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``425326
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``425656
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``426094
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``426606
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``426910
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``427181
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``427820
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``428466
od03edf`10`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``428807
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``429113
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``429332
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``429732
odark`1`x`(Color)->_$`dPalette``430152
odatalist`1`x`(List(S))->_$`dDataList(S)``430244
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``430303
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``430592
odebug`1`n`(Boolean)->Boolean`dPlot``430685
odec`1`x`(_$)->_$`cIntegerNumberSystem``430772
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``430815
odeclare!`2`x`(Symbol,FortranType)->FortranType`dTheSymbolTable``430891
odeclare!`3`x`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``431015
odeclare!`3`x`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``431133
odeclare!`3`x`(Symbol,FortranType,_$)->FortranType`dSymbolTable``431234
odeclare!`4`x`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``431345
odeclare!`4`x`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``431489
odeclare`1`n`(List(_$))->Symbol`dInputForm``431632
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``431981
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``432216
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``432258
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``432340
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``432692
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`432738
odecrease`1`x`(String)->Float`dAttributeButtons``432878
odecrease`2`x`(String,String)->Float`dAttributeButtons``433151
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``433453
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``433493
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``433537
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``433716
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``434019
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``434491
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``434634
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``434775
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``434869
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`434971
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``435114
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`435228
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``435322
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``435487
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``435775
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``435972
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``436092
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``436180
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``436218
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``436286
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``436448
odegree`1`x`(_$)->E`cGradedModule(R,E)``436535
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``436656
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``436739
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``436880
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``437007
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``437113
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``437210
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``437302
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``437399
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``437515
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``437602
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``437705
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``437894
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``438018
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``438124
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``438261
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``438441
odelay`1`x`(()->_$)->_$`dStream(S)``438546
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)``438699
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``438792
odeleteProperty!`2`x`(_$,Identifier)->_$`dBasicOperator``438898
odeleteProperty!`2`x`(_$,String)->_$`dBasicOperator``439060
odeleteRoutine!`2`x`(_$,Symbol)->_$`dRoutinesTable``439222
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)``439338
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``439538
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``439757
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``439899
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``440127
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``440323
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``440639
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``440696
odenom`1`n`(_$)->S`dLocalize(M,R,S)``440755
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``440814
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``440926
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``440999
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`441111
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`441223
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``441305
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``441395
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``441597
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``441659
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``441769
odequeue`0`x`()->_$`cDequeueAggregate(S)``441961
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``442038
odequeue`1`x`(List(S))->_$`dDequeue(S)``442213
oderef`1`n`(_$)->S`dReference(S)``442388
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``442443
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`442621
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``442707
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``442833
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``443083
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``443389
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``443508
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``443585
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``443720
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`443855
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`443968
odf2ef`1`x`(DoubleFloat)->Expression(Float)`pExpertSystemToolsPackage``444045
odf2fi`1`x`(DoubleFloat)->Fraction(Integer)`pExpertSystemToolsPackage``444134
odf2mf`1`x`(DoubleFloat)->MachineFloat`pExpertSystemToolsPackage``444242
odf2st`1`x`(DoubleFloat)->String`pExpertSystemContinuityPackage``444327
odf2st`1`x`(DoubleFloat)->String`pExpertSystemToolsPackage``444406
odf2st`1`x`(DoubleFloat)->String`pd01AgentsPackage``444485
odfRange`1`x`(Segment(OrderedCompletion(DoubleFloat)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``444564
odflist`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(DoubleFloat)`pExpertSystemToolsPackage``444705
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``444800
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``444892
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``445086
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``445280
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``445385
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``445490
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``445987
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``446100
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``446208
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``446317
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``446424
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``446765
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))->_$`cDictionaryOperations(S)``446848
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``446975
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``447046
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``447300
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``447711
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialSpace&(S)``0
odifferentiate`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->T`cDifferentialDomain(T)``447845
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`(_$,(F)->F)->F`dIntegrationResult(F)``447911
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``448011
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`448185
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``448269
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``448389
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialSpace(S)``448497
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialSpace``448654
odifferentiate`2`x`(_$,S)->T`cPartialDifferentialDomain(T,S)``448742
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)->_$`cDifferentialSpaceExtension(R)``448845
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``448986
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``449155
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``449269
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``449431
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``449505
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``449627
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``449749
odigit?`1`x`(_$)->Boolean`dCharacter``449872
odigit`0`x`()->_$`dCharacterClass``449969
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``450085
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``450155
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``450225
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`450322
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``450419
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``450497
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``450683
odihedral`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``450795
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``450895
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``450942
odim`1`x`(Color)->_$`dPalette``451066
odimensionOfIrreducibleRepresentation`1`x`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``451158
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``451386
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``451460
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``451518
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``451669
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``451750
odimensionsOf`1`x`(_$)->List(Polynomial(Integer))`dFortranType``451854
odimensionsOf`2`x`(Symbol,Matrix(DoubleFloat))->SExpression`pNAGLinkSupportPackage``451919
odimensionsOf`2`x`(Symbol,Matrix(Integer))->SExpression`pNAGLinkSupportPackage``451967
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``452015
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``452463
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``452915
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``453092
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``453219
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`453363
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``453557
odirection`1`n`(String)->Integer`pToolsForSign(R)``453788
odirectory`1`x`(_$)->String`cFileNameCategory``453829
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``453901
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``454030
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``454128
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``454294
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``454438
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``454497
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``454556
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``454673
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`454765
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`454848
odisjunction`2`x`(_$,_$)->_$`dPropositionalFormula(T)``454970
odisplay`1`x`(String)->Void`dMathMLFormat``455070
odisplay`1`x`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``455141
odisplay`1`x`(_$)->Void`dDatabase(S)``455269
odisplay`1`x`(_$)->Void`dIndexCard``455354
odisplay`1`x`(_$)->Void`dTexFormat``455448
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``455632
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``455849
odisplay`2`x`(_$,Integer)->Void`dTexFormat``456084
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``456230
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``456753
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``456850
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``457072
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``457255
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``457488
odiv`2`n`(_$,_$)->_$`dOutputForm``457727
odivergence`2`x`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``457784
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``457945
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``458177
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``458510
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`cFreeMonoidCategory(S)``458649
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``458870
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``459013
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``459245
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``459328
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``459696
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``460144
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``460218
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``460289
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``460393
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``460558
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``460869
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``460939
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``460999
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``461059
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``461119
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``461208
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``461294
odom`1`x`(_$)->SExpression`dAny``461383
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``461509
odomain`0`n`()->_$`dConstructorKind``461618
odominantTerm`1`n`(_$)->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)``461669
odot`1`n`(_$)->_$`dOutputForm``462078
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``462141
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``462321
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`462399
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`462487
odouble?`1`x`(_$)->Boolean`dFortranScalarType``462639
odoubleComplex?`1`x`(_$)->Boolean`dFortranScalarType``462738
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``462858
odoubleFloatFormat`1`n`(String)->String`dOutputForm``462900
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``462975
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``463135
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``463323
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``463407
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``463630
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``464368
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``465207
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``465425
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``465829
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``466224
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``466310
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``466507
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466593
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466715
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``466853
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``467020
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``467159
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467335
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``467497
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467714
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``467890
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468129
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468341
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468567
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468756
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``469051
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``469310
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``469552
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``469744
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``469973
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``470225
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``470534
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``470798
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``471133
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``471400
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``471724
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``472007
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``472303
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``472491
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``472825
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``473069
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``473434
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``473864
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`x`(_$)->List(Boolean)`cConstructorCategory``473922
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``474221
odual`1`x`(DualBasis(vars))->_$`dLinearBasis(vars)``474288
odual`1`x`(LinearBasis(vars))->_$`dDualBasis(vars)``474379
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``474473
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``474554
oe01baf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagInterpolationPackage``474641
oe01bef`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``474779
oe01bff`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``474954
oe01bgf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``475108
oe01bhf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``475287
oe01daf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``475479
oe01saf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``475704
oe01sbf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``475906
oe01sef`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``476094
oe01sff`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``476306
oe02adf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``476494
oe02aef`4`x`(Integer,Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``476682
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``476834
oe02ahf`9`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Integer,Integer,Integer)->Result`pNagFittingPackage``477212
oe02ajf`10`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,Integer)->Result`pNagFittingPackage``477454
oe02akf`8`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer)->Result`pNagFittingPackage``477711
oe02baf`7`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``477955
oe02bbf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``478212
oe02bcf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer)->Result`pNagFittingPackage``478342
oe02bdf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``478534
oe02bef`13`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer))->Result`pNagFittingPackage``478693
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``479045
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``479289
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``479733
oe02def`9`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``480086
oe02dff`12`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``480236
oe02gaf`7`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``480462
oe02zaf`10`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``480656
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``480816
oe04fdf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp50(LSFUN1)))->Result`pNagOptimisationPackage``481186
oe04gcf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp19(LSFUN2)))->Result`pNagOptimisationPackage``481455
oe04jaf`9`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp24(FUNCT1)))->Result`pNagOptimisationPackage``481720
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``482192
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``482510
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``482835
oe04ycf`8`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``483638
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``483962
oedf2df`1`x`(Expression(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``484020
oedf2ef`1`x`(Expression(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``484170
oedf2efi`1`x`(Expression(DoubleFloat))->Expression(Fraction(Integer))`pExpertSystemToolsPackage``484266
oedf2fi`1`x`(Expression(DoubleFloat))->Fraction(Integer)`pExpertSystemToolsPackage``484379
oef2edf`1`x`(Expression(Float))->Expression(DoubleFloat)`pExpertSystemToolsPackage``484539
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``484661
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``484806
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``484953
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``485081
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``485442
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485604
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485746
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485864
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`dCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`dCompilerPackage``485997
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``486105
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``486279
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``486356
oelementary`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``486453
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``486577
oelements`1`x`(_$)->List(SpadAst)`dConstructAst``486669
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``486754
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``486797
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``487068
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``487195
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``487322
oelseBranch`1`x`(_$)->SpadAst`dIfAst``487545
oelt`1`n`(_$)->S`dReference(S)``487607
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``487657
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``487718
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,List(_$))->_$`dOutputForm``487783
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``487882
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``488022
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`488119
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`488254
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``488402
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``488486
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``488589
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``488689
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``488784
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``488891
oelt`2`x`(_$,"sort")->_$`dDataList(S)``488989
oelt`2`x`(_$,"unique")->_$`dDataList(S)``489110
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``489251
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``489348
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``489426
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``489547
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``489628
oelt`2`x`(_$,S)->T`cEltable(S,T)``489726
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``489866
oelt`2`x`(_$,Symbol)->String`dIndexCard``489963
oelt`2`x`(_$,_$)->_$`cStringAggregate``490161
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,_$,_$)->_$`cExpressionSpace``490376
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``490501
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``490870
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``491010
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``491131
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``491260
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``491422
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``491590
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``491653
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``491995
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``492147
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``492212
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``492422
oelt`4`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``492630
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,_$,_$,_$,_$)->_$`cExpressionSpace``492701
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``492877
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``492944
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``493068
oempty?`1`x`(_$)->Boolean`cAggregate``493166
oempty`0`n`()->_$`dOutputForm``493224
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``493269
oempty`0`n`()->_$`dSplittingNode(V,C)``493329
oempty`0`x`()->_$`cAggregate``493439
oempty`0`x`()->_$`dEnvironment``493639
oempty`0`x`()->_$`dScope``493693
oempty`0`x`()->_$`dSymbolTable``493739
oempty`0`x`()->_$`dTheSymbolTable``493797
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``493856
oendOfFile?`1`x`(_$)->Boolean`dTextFile``493947
oendSubProgram`0`x`()->Symbol`dTheSymbolTable``494120
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``494215
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``494301
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``494494
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``494738
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``494937
oentries`1`x`(_$)->List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStrea--m:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))`dIntegrationFunctionsTable``495039
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`495080
oentry`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFl--oat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))`dIntegrationFunctionsTable``495184
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``495223
oenvironment`1`n`(_$)->Environment`dElaboration``495319
oeof?`1`x`(_$)->Boolean`dInputBinaryFile``495401
oepilogue`1`x`(_$)->List(String)`dTexFormat``495473
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``495553
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``495625
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``495729
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``495826
oequation`2`x`(S,S)->_$`dEquation(S)``496126
oequation`2`x`(Symbol,S)->_$`dRangeBinding(S,T)``496175
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`x`(Symbol,String)->_$`dQueryEquation``496338
oequiv`2`x`(_$,_$)->_$`cPropositionalLogic``496392
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``496464
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``496512
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``496659
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``496732
oerror`1`x`(List(String))->Exit`pErrorFunctions``496812
oerror`1`x`(String)->Exit`pErrorFunctions``496889
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``496964
oerror`2`x`(String,String)->Exit`pErrorFunctions``497132
oescape`0`x`()->_$`dCharacter``497297
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``497350
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``497507
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``497840
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``498143
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``498325
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`498436
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``498476
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``498693
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``498994
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``499141
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`499211
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``499280
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)``499505
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``499649
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``499789
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``499929
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``500047
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`500288
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``500406
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``500477
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`500567
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`500650
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`500750
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`500813
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)``500896
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``500969
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``501172
oeval`3`x`(Matrix(Expression(DoubleFloat)),List(Symbol),Vector(Expression(DoubleFloat)))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``501253
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``501380
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``501451
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``501584
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``501684
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``501777
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``501934
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``502056
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``502213
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``502335
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``502486
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``502619
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``502719
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`502840
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`502978
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`503138
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`503305
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`503444
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`503578
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``503684
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``503733
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``503857
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``504089
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``504312
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``504484
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`504809
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``504878
oeven?`1`x`(_$)->Boolean`dPermutation(S)``504954
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``505085
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``505229
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``505373
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``505517
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``505661
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``505986
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`506364
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``506604
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``506643
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``506682
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`506721
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`506845
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`506947
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`507173
oexists?`1`x`(_$)->Boolean`cFileNameCategory``507378
oexp1`0`x`()->_$`dDoubleFloat``507448
oexp1`0`x`()->_$`dFloat``507521
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``507581
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``507668
oexp`1`n`(F)->F`pElementaryFunction(R,F)``508122
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``508188
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``508262
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``508333
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``508409
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``508485
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``508558
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``508633
oexp`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``508696
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``508763
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`508885
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``509011
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``509178
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`509294
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``509736
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``509798
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``510201
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``510296
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``510391
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``510623
oexpand`1`x`(_$)->R`dFactored(R)``510802
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``511015
oexpenseOfEvaluationIF`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``511057
oexpenseOfEvaluation`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Float`pe04AgentsPackage``511480
oexpenseOfEvaluation`1`x`(Vector(Expression(DoubleFloat)))->Float`pExpertSystemToolsPackage``511697
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oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``512393
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``512483
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``512698
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``512883
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``513023
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``513188
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``513405
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``513772
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``513909
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``513949
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``514003
oexponent`1`x`(_$)->Integer`dFactored(R)``514103
oexponent`1`x`(_$)->Integer`dMachineFloat``514248
oexponential1`0`n`()->Float`pRandomFloatDistributions``514307
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``514350
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``514463
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``514506
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``514642
oexportedOperators`1`x`(_$)->List(OperatorSignature)`dCategory``514803
oexprHasAlgebraicWeight`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(List(DoubleFloat),"failed")`pd01WeightsPackage``514943
oexprHasLogarithmicWeights`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Integer`pd01WeightsPackage``515073
oexprHasWeightCosWXorSinWX`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(op:BasicOperator,w:DoubleFloat),"failed")`pd01WeightsPackage``515208
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oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``519611
oexpr`1`x`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``519917
oexpressIdealMember`2`n`(List(S),S)->Maybe(List(S))`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Maybe(List(_$))`cPrincipalIdealDomain``520040
oexpression`1`x`(_$)->SpadAst`dCoerceAst``520244
oexpression`1`x`(_$)->SpadAst`dExitAst``520312
oexpression`1`x`(_$)->SpadAst`dPretendAst``520376
oexpression`1`x`(_$)->SpadAst`dQuasiquoteAst``520444
oexpression`1`x`(_$)->SpadAst`dRestrictAst``520524
oexpression`1`x`(_$)->SpadAst`dReturnAst``520592
oexprex`1`x`(OutputForm)->String`dMathMLFormat``520660
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``521064
oexptMod`4`x`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``521180
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``521332
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
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oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``521392
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``521527
oexquo`2`n`(_$,_$)->_$`dOutputForm``521634
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`521694
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oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`521950
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`522098
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`522246
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cIntegralDomain``522371
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``522499
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``522639
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``523224
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``523319
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``523474
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``523567
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``523861
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``523954
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``524174
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``524255
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``524432
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``524474
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``524567
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``524876
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``525245
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oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`525628
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`525836
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`526077
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``526285
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``526445
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``526516
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``526657
oextension`1`x`(_$)->String`cFileNameCategory``526728
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``526795
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oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``527200
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``527337
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oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``527945
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oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``528372
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of02xef`12`x`(Integer,Integer,Integer,Integer,Integer,Boolean,Integer,Boolean,Integer,Matrix(Complex(DoubleFloat)),Matrix(Complex(DoubleFloat)),Integer)->Result`pNagEigenPackage``533655
of04adf`8`x`(Integer,Matrix(Complex(DoubleFloat)),Integer,Integer,Integer,Integer,Matrix(Complex(DoubleFloat)),Integer)->Result`pNagLinearEquationSolvingPackage``533862
of04arf`5`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``534108
of04asf`5`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``534342
of04atf`6`x`(Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagLinearEquationSolvingPackage``534618
of04axf`8`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Matrix(Integer),Integer,Matrix(Integer),Matrix(DoubleFloat))->Result`pNagLinearEquationSolvingPackage``534881
of04faf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``535182
of04jgf`8`x`(Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``535378
of04maf`14`x`(Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Matrix(Integer),Matrix(DoubleFloat),Matrix(Integer),Matrix(Integer),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer)->Result`pNagLinearEquationSolvingPackage``535751
of04mbf`12`x`(Integer,Matrix(DoubleFloat),Boolean,DoubleFloat,Integer,Integer,Integer,Integer,DoubleFloat,Integer,Union(fn:FileName,fp:Asp28(APROD)),Union(fn:FileName,fp:Asp34(MSOLVE)))->Result`pNagLinearEquationSolvingPackage``536070
of04mcf`11`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer),Integer,Matrix(DoubleFloat),Integer,Integer,Integer,Integer)->Result`pNagLinearEquationSolvingPackage``536291
of04qaf`13`x`(Integer,Integer,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp30(APROD)))->Result`pNagLinearEquationSolvingPackage``536677
of07adf`4`x`(Integer,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``536967
of07aef`8`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Matrix(DoubleFloat))->Result`pNagLapack``537122
of07fdf`4`x`(String,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``537392
of07fef`7`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``537563
of2df`1`x`(Float)->DoubleFloat`pExpertSystemToolsPackage``537822
of2st`1`x`(Float)->String`pExpertSystemToolsPackage``537918
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")))))->_$`dIntegrationFunctionsTable``537990
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`538071
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`538179
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``538356
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``538584
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``538812
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``538923
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``539069
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``539307
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``539403
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``539451
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``539585
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``539668
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``539849
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``539986
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``540220
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``540567
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`540684
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``540734
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``540984
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``541234
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``541516
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``541798
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``541994
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``542106
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``542250
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``542345
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``542455
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``542742
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``542985
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``543321
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``543629
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`543704
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``543760
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``543848
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``543945
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``544077
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``544152
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)``544243
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``544378
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``544440
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``544749
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``544830
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``544892
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``544987
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``545075
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``545172
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``545293
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``545379
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``545463
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``545648
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``545872
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``545984
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``546051
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``546118
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``546185
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``546266
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``546388
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``546495
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``546648
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``546884
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``547086
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``547244
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``547481
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``547625
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``547850
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``548035
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``548185
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``548436
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``548659
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``548970
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``549056
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``549210
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``549375
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``549479
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``549583
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``549709
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``549835
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``549921
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``550032
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``550113
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``550194
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``550494
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``550573
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``550635
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``550697
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``550744
ofalse`0`x`()->_$`cPropositionalLogic``550791
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``550834
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``550922
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``551084
ofi2df`1`x`(Fraction(Integer))->DoubleFloat`pExpertSystemToolsPackage``551269
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``551358
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``551672
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(_$,ATTRIBUTE(shallowlyMutable))`551921
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``552045
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``552101
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``552160
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``552237
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``552397
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``552470
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dContour``552633
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dScope``552731
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``552824
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``552984
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``553067
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``553209
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``553323
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``553377
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``553431
ofiniteBound`2`x`(List(OrderedCompletion(DoubleFloat)),DoubleFloat)->List(DoubleFloat)`pe04AgentsPackage``553518
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`553662
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`553870
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``554078
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``554277
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``554474
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``554590
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`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``554896
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``554970
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``555031
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`555116
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``555307
ofirst`1`x`(_$)->S`dPair(S,T)``555417
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``555477
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``555633
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``555741
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``555829
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``556076
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``556197
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``556346
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`556501
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``556584
oflatten`1`n`(_$)->_$`dInputForm``556763
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``557003
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``557209
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``557415
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``557506
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``557587
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``557709
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``557766
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`557820
ofloor`1`x`(_$)->_$`cRealNumberSystem``557896
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`557959
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``558047
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``558219
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``558307
oforLoop`2`x`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``558395
oforLoop`3`x`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``558521
oformfeed`0`x`()->_$`dCharacter``558661
ofortranCarriageReturn`0`x`()->Void`dFortranTemplate``558720
ofortranCharacter`0`x`()->_$`dFortranType``558822
ofortranCompilerName`0`x`()->String`pNAGLinkSupportPackage``558902
ofortranComplex`0`x`()->_$`dFortranType``559012
ofortranDoubleComplex`0`x`()->_$`dFortranType``559088
ofortranDouble`0`x`()->_$`dFortranType``559177
ofortranInteger`0`x`()->_$`dFortranType``559261
ofortranLinkerArgs`0`x`()->String`pNAGLinkSupportPackage``559337
ofortranLiteralLine`1`x`(String)->Void`dFortranTemplate``559408
ofortranLiteral`1`x`(String)->Void`dFortranTemplate``559530
ofortranLogical`0`x`()->_$`dFortranType``559615
ofortranReal`0`x`()->_$`dFortranType``559691
ofortranTypeOf`2`x`(Symbol,_$)->FortranType`dSymbolTable``559761
ofortran`3`x`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``559839
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``560025
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``560064
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``560155
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``560360
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`560454
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``560561
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``560642
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``560724
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``560810
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`560891
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``561018
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``561088
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``561188
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`561316
ofront`1`x`(_$)->S`cQueueAggregate(S)``561357
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`561507
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``561598
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``561780
ofullDisplay`1`x`(_$)->Void`dIndexCard``561866
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``561958
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``562091
ofunctionIsContinuousAtEndPoints`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated")`pd01AgentsPackage``562248
ofunctionIsFracPolynomial?`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Boolean`pExpertSystemContinuityPackage``562404
ofunctionIsOscillatory`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd01AgentsPackage``562543
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``562655
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``562724
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``562838
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``562929
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``563002
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``563080
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``563182
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``563217
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``563291
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``563393
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``563481
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``563582
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``563683
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``563749
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)``563826
ogcd`1`x`(List(_$))->_$`cGcdDomain``563903
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``563985
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)``564071
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`564157
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`564256
ogcd`2`x`(_$,_$)->_$`cGcdDomain``564369
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``564454
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``564566
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``564674
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``564807
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``564898
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``564992
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``565077
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``565160
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``565318
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``565476
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``565634
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``565792
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``565991
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``566216
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``566404
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``566560
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``566709
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``566810
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)``566928
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``567110
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)``567505
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``567607
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``567837
ogenerate`1`x`(()->S)->_$`dStream(S)``567971
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``568117
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``568182
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``568409
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`568720
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``568859
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``568924
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``569016
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``569102
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``569166
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``569270
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``569351
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``569426
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`569501
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`569835
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`569980
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570253
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570398
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``570640
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570783
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571118
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571268
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571508
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571658
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``571865
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572029
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572190
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572394
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572560
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572716
ogensym`0`x`()->_$`dIdentifier``572942
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``573051
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``573131
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``573211
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``573252
ogetButtonValue`2`x`(String,String)->Float`dAttributeButtons``573393
ogetCode`1`x`(_$)->SExpression`dFortranCode``573707
ogetConstant`1`x`(_$)->Union(SExpression,"failed")`dElaboratedExpression``573849
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``573916
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``574060
ogetExplanations`2`x`(_$,String)->List(String)`dRoutinesTable``574291
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``574400
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``574478
ogetIdentifier`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``574721
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``574792
ogetMeasure`2`x`(_$,Symbol)->Float`dRoutinesTable``574951
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``575054
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``575148
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``575242
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``575336
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``575513
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``575690
ogetOperands`1`x`(_$)->List(_$)`dSyntax``575867
ogetOperands`1`x`(_$)->Union(List(_$),"failed")`dElaboratedExpression``575949
ogetOperator`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``576045
ogetOperator`1`x`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``576148
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``576364
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``576529
ogetProperties`2`x`(Identifier,_$)->List(Property)`dEnvironment``576832
ogetProperty`3`x`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``576918
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``577078
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``577194
ogetSyntaxFormsFromFile`1`x`(String)->List(Syntax)`pParser``577283
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``577544
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``577723
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``577861
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``577990
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``578128
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``578248
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``578360
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``578480
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``578599
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``578710
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``578829
ogoodnessOfFit`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``578968
ogoodnessOfFit`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``579628
ogoto`1`x`(SingleInteger)->_$`dFortranCode``580839
ogradient`2`x`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``580914
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``581107
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``581265
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``581437
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``581585
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``581792
ographImage`0`n`()->_$`dGraphImage``582205
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``582390
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``583458
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``583729
ographs`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``584069
ogreen`0`x`()->_$`dColor``584242
ogreen`1`x`(_$)->T`cRGBColorModel(T)``584319
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``584380
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``584674
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``584711
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``584806
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``585308
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``585894
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``586502
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``587200
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``587412
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``587631
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``587874
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``587998
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``588104
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``588567
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``588951
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``589042
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``589112
oground`1`x`(_$)->R`cFunctionSpace(R)``589190
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``589317
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`589352
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`589531
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`589710
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`589901
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`590113
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`590304
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``590516
ohas?`2`x`(_$,Identifier)->Boolean`dBasicOperator``590621
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``590699
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``590777
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``590857
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``590946
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``591035
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``591114
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``591173
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``591409
ohconcat`1`n`(List(_$))->_$`dOutputForm``591585
ohconcat`2`n`(_$,_$)->_$`dOutputForm``591664
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``591745
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``591922
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``592011
oheadAst`2`x`(Identifier,List(ParameterAst))->_$`dHeadAst``592099
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``592176
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``592453
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``592715
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``592898
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``593045
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``593202
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`593327
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->HeadAst`dDefinitionAst``593604
ohead`1`x`(_$)->HeadAst`dMacroAst``593786
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``593970
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``594086
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``594342
oheap`1`x`(List(S))->_$`dHeap(S)``594463
oheight`0`n`()->Integer`dOutputForm``594554
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``594630
oheight`1`n`(_$)->Integer`dOutputForm``594737
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``594811
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``594874
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``594996
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``595269
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``595587
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``595874
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``596036
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``596307
ohessian`2`x`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``596388
ohexDigit?`1`x`(_$)->Boolean`dCharacter``596580
ohexDigit`0`x`()->_$`dCharacterClass``596714
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``596836
ohi`1`x`(_$)->S`cSegmentCategory(S)``596912
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`597000
ohigh`1`x`(_$)->S`cSegmentCategory(S)``597217
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``597309
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``597488
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``597578
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``597688
ohorizontalTab`0`x`()->_$`dCharacter``597920
ohostByteOrder`0`n`()->ByteOrder`dSystem``597975
ohostPlatform`0`n`()->String`dSystem``598003
ohost`1`x`(String)->_$`dHostname``598118
ohspace`1`n`(Integer)->_$`dOutputForm``598181
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``598244
ohue`1`n`(Point(R))->R`pPointPackage(R)``598345
ohue`1`x`(_$)->Color`dPalette``598668
ohue`1`x`(_$)->Integer`dColor``598746
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``598822
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``598959
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``599096
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``599184
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``599272
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``599486
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))))->_$`dODEIntensityFunctionsTable``599662
oid`1`x`(A)->A`pMappingPackage1(A)``599755
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``599787
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``600078
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``600149
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``600254
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``600332
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``600498
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``600595
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``600746
oidentityMatrix`1`x`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`600960
oidentitySquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``601051
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``601107
oiflist2Result`1`x`(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))->Result`pExpertSystemToolsPackage``601161
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``601247
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``601408
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``601466
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``601522
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``601578
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``601635
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``601691
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``601748
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``601804
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``601861
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``601917
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``601974
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``602030
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``602087
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``602143
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``602200
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``602258
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``602313
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``602369
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``602424
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``602480
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``602535
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``602591
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``602649
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``602706
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``602761
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``602818
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``602873
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``602930
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``602986
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``603041
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``603097
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``603152
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``603208
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``603264
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``603320
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``603375
oimagE`1`x`(_$)->R`cOctonionCategory(R)``603431
oimagI`1`x`(_$)->R`cOctonionCategory(R)``603513
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``603595
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``603679
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``603761
oimagK`1`x`(_$)->R`cOctonionCategory(R)``603845
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``603927
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``604011
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``604110
oimag`1`x`(_$)->R`cComplexCategory(R)``604209
oimagi`1`x`(_$)->R`cOctonionCategory(R)``604267
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``604339
oimagj`1`x`(_$)->R`cOctonionCategory(R)``604397
oimagk`1`x`(_$)->R`cOctonionCategory(R)``604469
oimplies`2`x`(_$,_$)->_$`cPropositionalLogic``604541
oimports`1`x`(_$)->List(TypeAst)`dImportAst``604615
oin?`1`x`(DoubleFloat)->Boolean`pExpertSystemContinuityPackage1(A,B)``604676
oin?`2`x`(DoubleFloat,Segment(OrderedCompletion(DoubleFloat)))->Boolean`pExpertSystemToolsPackage``604765
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``604866
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``604953
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``605060
oinR?`1`n`(_$)->Boolean`dPattern(R)``605440
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``605535
oinc`1`x`(_$)->_$`cIntegerNumberSystem``605643
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``605686
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``605850
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``606014
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`606169
oincrease`1`x`(String)->Float`dAttributeButtons``606299
oincrease`2`x`(String,String)->Float`dAttributeButtons``606572
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``606874
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``607060
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``607238
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``607413
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``607492
oindex`1`x`(PositiveInteger)->_$`cFinite``607529
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``607776
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``607875
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``608083
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`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``608203
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``608300
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``608400
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``608500
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``608594
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``608688
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``608896
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``609104
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``609344
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``609584
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``609848
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``609960
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``610072
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``610269
oinf`1`x`(_$)->R`cIntervalCategory(R)``610425
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``610487
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``610621
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``610758
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``610816
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``610890
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``611030
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``611170
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``611310
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``611450
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``611563
oinfinity`0`x`()->_$`dOnePointCompletion(R)``611606
oinfix?`1`n`(_$)->Boolean`dOutputForm``611649
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``611759
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``611900
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``611984
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``612040
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``612101
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``612326
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``612478
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``612912
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,_$)->P`cTriangularSetCategory(R,E,V,P)``613373
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``613661
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``613933
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``614208
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``614426
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``614593
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``614777
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``614881
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``615214
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``615331
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``615461
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``615813
oinputBinaryFile`1`x`(FileName)->_$`dInputBinaryFile``615889
oinputBinaryFile`1`x`(String)->_$`dInputBinaryFile``616007
oinputOutputBinaryFile`1`x`(FileName)->_$`dInputOutputBinaryFile``616125
oinputOutputBinaryFile`1`x`(String)->_$`dInputOutputBinaryFile``616261
oinput`0`n`()->_$`dIOMode``616392
oinput`1`x`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``616455
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``616575
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``616785
oinsert!`1`x`(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(st--r:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))->_$`dIntegrationFunctionsTable``616849
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)))->_$`dODEIntensityFunctionsTable``616916
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``616983
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``617110
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``617178
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``617274
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``617369
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``617465
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``617570
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``617676
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``617803
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``617965
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``618063
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)``618296
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``618511
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`618762
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``618805
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``618853
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)``618918
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)))`618958
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``619205
oint`1`n`(_$)->_$`dOutputForm``619314
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``619400
oint`2`n`(_$,_$)->_$`dOutputForm``619483
oint`3`n`(_$,_$,_$)->_$`dOutputForm``619603
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``619761
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``619802
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``619896
ointeger?`1`x`(_$)->Boolean`dFortranScalarType``619979
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``620071
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``620217
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``620321
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``620415
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``620539
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``620597
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``620671
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``620761
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``620854
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``620941
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``621027
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``621841
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``622655
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``623461
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``624275
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``624347
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``624544
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``624870
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``624999
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``625211
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``625419
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``625577
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``625670
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``625799
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`625885
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``625978
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``626110
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``626183
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`626252
ointegrate`1`x`(NumericalIntegrationProblem)->Result`pAnnaNumericalIntegrationPackage``626435
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`626984
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`627173
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`627290
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`627487
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`627676
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`627924
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`628113
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`628302
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`628493
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`628682
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`628871
ointegrate`2`x`(Expression(Float),List(Segment(OrderedCompletion(Float))))->Result`pAnnaNumericalIntegrationPackage``629062
ointegrate`2`x`(Expression(Float),Segment(OrderedCompletion(Float)))->Result`pAnnaNumericalIntegrationPackage``629671
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``630275
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``630437
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``630550
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``630712
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`630874
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`630988
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`631118
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`631248
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`631378
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`631508
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`631638
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`631768
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`631929
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`632156
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`632345
ointegrate`3`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float)->Result`pAnnaNumericalIntegrationPackage``632495
ointegrate`3`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float)->Result`pAnnaNumericalIntegrationPackage``633139
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),String)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``633778
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),Symbol)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``634483
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``635184
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``635591
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``635998
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`636405
ointegrate`4`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float)->Result`pAnnaNumericalIntegrationPackage``636555
ointegrate`4`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float)->Result`pAnnaNumericalIntegrationPackage``637155
ointegrate`5`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``637750
ointegrate`5`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``638422
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``639078
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``639273
ointeractiveEnv`0`x`()->_$`dEnvironment``639576
ointermediateResultsIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``639630
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``639906
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``639947
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``640105
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``640211
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``640378
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)``640545
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``640665
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``640785
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``640868
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``640992
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``641075
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``641200
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``641345
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``641615
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``641885
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``642157
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``642424
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``642561
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``642698
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``642745
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`x`(String)->Any`pTemplateUtilities``642794
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``642904
ointerpret`1`n`(_$)->Any`dInputForm``643028
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``643091
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``643178
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``643279
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``643454
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``643531
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``643606
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``643873
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``643965
ointerval`1`x`(R)->_$`cIntervalCategory(R)``644031
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``644097
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)``644272
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``644345
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``644380
oinv`1`x`(_$)->_$`cDivisionRing``644415
oinv`1`x`(_$)->_$`cGroup``644508
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`644562
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`644629
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``644698
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``645383
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``645602
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``645814
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``645985
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``646053
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``646215
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`646435
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`646588
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`646750
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`646882
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`647044
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``647119
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``647238
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``647453
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``647647
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``647832
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``647919
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``648033
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``648159
oip4Address`1`x`(String)->_$`dIP4Address``648305
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``648385
oiprint`1`n`(String)->Void`pInternalPrintPackage``648440
oirCtor`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``648535
oirDef`3`x`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``648648
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``648798
oirVar`2`x`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``648892
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`649001
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``649062
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``649146
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`649306
oirreducibleRepresentation`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``649617
oirreducibleRepresentation`2`x`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``649956
oirreducibleRepresentation`2`x`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``650172
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`(_$,BasicOperator)->Boolean`dKernel(S)``650417
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``650477
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``650550
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``650663
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``650753
ois?`2`x`(_$,S)->Boolean`cOperatorCategory(S)``650835
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``650916
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`651015
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`651148
oisAnd`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``651639
oisAtom`1`x`(_$)->Maybe(T)`dPropositionalFormula(T)``651778
oisConnected?`1`x`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``651893
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``652035
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``652141
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`652252
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``652336
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)`652448
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`652556
oisImplies`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``652662
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``652806
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`652906
oisNot`1`x`(_$)->Maybe(_$)`dPropositionalFormula(T)``652991
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``653110
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``653220
oisOpen?`1`x`(_$)->Boolean`dInputBinaryFile``653328
oisOpen?`1`x`(_$)->Boolean`dInputOutputBinaryFile``653392
oisOpen?`1`x`(_$)->Boolean`dOutputBinaryFile``653448
oisOr`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``653503
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``653641
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``653764
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`653901
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``653996
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``654146
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``654253
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`654348
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``654433
oisQuotient`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pExpertSystemToolsPackage``654530
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``654669
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``654785
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`654909
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``655003
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``655297
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``655480
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``655544
oiterationVar`1`n`(_$)->Identifier`dInAst``655729
oiterationVar`1`x`(_$)->Identifier`dStepAst``655827
oiterators`1`x`(_$)->List(SpadAst)`dCollectAst``655949
oiterators`1`x`(_$)->List(SpadAst)`dRepeatAst``656041
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``656124
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``656332
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``656540
ojacobian`2`x`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``656818
ojacobian`2`x`(Vector(Expression(DoubleFloat)),List(Symbol))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``657021
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``657095
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``657181
ojokerMode`0`n`()->_$`dInternalTypeForm``657397
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``657488
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``657780
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``658072
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``658420
ojust`1`x`(T)->_$`dMaybe(T)``658768
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``658820
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``658911
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``658993
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``659075
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``659147
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``659223
ojvmFinal`0`n`()->_$`dJVMFieldAccess``659296
ojvmFinal`0`n`()->_$`dJVMMethodAccess``659385
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``659475
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``659546
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``659620
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``659702
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``659764
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``659834
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``659911
ojvmNative`0`n`()->_$`dJVMMethodAccess``660012
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``660104
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``660200
ojvmProtected`0`n`()->_$`dJVMFieldAccess``660297
ojvmProtected`0`n`()->_$`dJVMMethodAccess``660389
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``660482
ojvmPublic`0`n`()->_$`dJVMFieldAccess``660573
ojvmPublic`0`n`()->_$`dJVMMethodAccess``660660
ojvmStatic`0`n`()->_$`dJVMFieldAccess``660748
ojvmStatic`0`n`()->_$`dJVMMethodAccess``660786
ojvmStrict`0`n`()->_$`dJVMMethodAccess``660825
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``660910
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``660982
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``661054
ojvmTransient`0`n`()->_$`dJVMFieldAccess``661099
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``661140
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``661253
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``661293
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``661384
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``661543
okernel`1`n`(Symbol)->_$`dKernel(S)``661886
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``661947
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``662040
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``662122
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``662307
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``662473
okey`1`n`(_$)->Integer`dGraphImage``662543
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``662660
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``662818
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``662980
okeys`1`x`(_$)->List(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))`dIntegrationFunctionsTable``663047
okeys`1`x`(_$)->List(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))`dODEIntensityFunctionsTable``663106
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`x`(_$)->ConstructorKind`cConstructorCategory``663167
okind`1`x`(_$)->ConstructorKind`dCategoryAst``663236
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``663328
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``663409
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``663456
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``663776
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``664214
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``664406
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``664518
olabel`2`n`(_$,_$)->_$`dOutputForm``664627
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``664700
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``664830
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``664984
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``665154
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``665299
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``665578
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``665747
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``666056
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``666420
olaplacian`2`x`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``666682
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`666831
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``667001
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``667154
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``667500
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`667687
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``667922
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`668057
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``668335
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``669017
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``669132
olast`1`x`(_$)->SpadAst`dSequenceAst``669299
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``669358
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``669513
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``669688
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``669772
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``669927
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``670059
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``670242
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``670312
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``670445
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``670557
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``670799
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``670857
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``671040
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``671208
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``671379
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``671547
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`671824
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`671898
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`671986
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``672464
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``672652
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``672862
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``673055
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``673281
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``673560
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``673912
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``674225
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:_$)`cRecursivePolynomialCategory(R,E,V)``674501
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``674816
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``674991
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``675274
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``675646
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`675962
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``676098
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``676191
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``676274
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemToolsPackage``676382
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pd01AgentsPackage``676474
oldf2vmf`1`x`(List(DoubleFloat))->Vector(MachineFloat)`pExpertSystemToolsPackage``676569
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``676666
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``676840
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``676943
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``677041
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``677372
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``677473
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``677579
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``677629
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`677676
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``677844
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``678027
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``678124
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCat(R,Basis)``678217
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``678323
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``678435
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``678547
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``678738
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``678785
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``678898
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`678942
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``679101
oleadingMonomial`1`x`(_$)->Basis`cFreeModuleCat(R,Basis)``679148
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``679265
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``679356
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``679439
oleadingTerm`1`x`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``679608
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`(_$)->Boolean`dSubSpace(n,R)``679700
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``679737
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``679798
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``680053
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``680384
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``680501
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``680635
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``680848
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``681061
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``681219
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``681587
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``681955
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``682256
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`682451
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`682646
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``682887
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`683011
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`683135
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``683243
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``683480
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``683524
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`683760
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``683996
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`684194
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`684393
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``684627
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``684753
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`684851
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`684908
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``684965
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``685147
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``685329
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`685517
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`685705
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``685801
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`686040
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``686279
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`686437
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``686650
oleftReducedSystem`1`x`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``686832
oleftReducedSystem`2`x`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``687095
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``687375
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)``687547
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``687744
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`687933
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``688122
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``688312
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``688594
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``688876
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``689084
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``689177
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``689345
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`689524
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)``689649
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`689772
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`689896
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``689953
oleft`1`n`(_$)->_$`dMagma(VarSet)``690109
oleft`1`n`(_$)->_$`dOutputForm``690260
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``690327
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``690401
oleft`2`n`(_$,Integer)->_$`dOutputForm``690447
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`690532
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``690698
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``690974
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``691325
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``691436
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``691492
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``691584
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``691657
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``691740
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``691823
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`691930
olength`1`x`(_$)->_$`cIntegerNumberSystem``692033
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``692087
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``692121
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``692223
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``692299
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``692497
olevel`1`x`(_$)->Integer`dExitAst``692634
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``692695
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``692914
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``693100
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``693499
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``693566
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``693775
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``694117
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``694284
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``694443
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``694675
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``694805
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``694876
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``695095
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``695318
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``695373
olhs`1`x`(_$)->S`dEquation(S)``695443
olhs`1`x`(_$)->SpadAst`dCaseAst``695517
olhs`1`x`(_$)->SpadAst`dColonAst``695593
olhs`1`x`(_$)->SpadAst`dHasAst``695670
olhs`1`x`(_$)->SpadAst`dIsAst``695745
olhs`1`x`(_$)->SpadAst`dLetAst``695819
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``695901
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``695954
olibrary`1`x`(FileName)->_$`dLibrary``696076
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``696130
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``696337
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``696544
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``696860
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``697176
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``697268
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``697304
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``697406
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)``697444
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)``697479
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)``697541
olight`1`x`(Color)->_$`dPalette``697597
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``697682
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``697943
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``698015
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)``698089
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)``698170
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)``698294
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``698418
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``698607
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)``698872
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)``699117
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``699348
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``699386
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``699537
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``699641
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``699767
olinear?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``699919
olinear?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``699992
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`700093
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`700758
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`700911
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`701147
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``701302
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``701523
olinearElement`1`x`(List(K))->_$`dLinearElement(K,B)``701733
olinearForm`1`x`(List(K))->_$`dLinearForm(K,B)``701891
olinearMatrix`2`x`(List(Expression(DoubleFloat)),NonNegativeInteger)->Matrix(DoubleFloat)`pe04AgentsPackage``702042
olinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``702209
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``702295
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``702459
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``702497
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``702537
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``702686
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``702844
olinefeed`0`x`()->_$`dCharacter``703023
olinkToFortran`4`x`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``703082
olinkToFortran`4`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``703136
olinkToFortran`5`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``703191
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``703248
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``703310
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``703391
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``703507
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)``703623
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``703860
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``703977
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``704066
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``704155
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``704231
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``704313
olistYoungTableaus`1`x`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``704681
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``705154
olist`1`x`(_$)->List(_$)`dSymbol``705218
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``705322
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``705358
olittleEndian`0`n`()->_$`dByteOrder``705427
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``705483
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``705753
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``706011
olo`1`x`(_$)->S`cSegmentCategory(S)``706267
oloadNativeModule`1`n`(String)->Void`dSystem``706354
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``706452
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``706647
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``706842
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``707685
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``708534
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``709375
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``710224
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``710284
olog10`0`x`()->_$`dFloat``710338
olog10`1`x`(_$)->_$`dDoubleFloat``710406
olog10`1`x`(_$)->_$`dFloat``710479
olog10`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``710550
olog2`0`x`()->_$`dFloat``710628
olog2`1`x`(_$)->_$`dDoubleFloat``710714
olog2`1`x`(_$)->_$`dFloat``710785
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``710854
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``710978
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``711102
olog`1`n`(F)->F`pElementaryFunction(R,F)``711189
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``711253
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``711397
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``711455
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``711513
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``711584
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``711657
olog`1`x`(_$)->_$`cElementaryFunctionCategory``711729
olog`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``711793
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``711860
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`711980
ological?`1`x`(_$)->Boolean`dFortranScalarType``712104
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``712196
olookupFunction`1`n`(_$)->Identifier`dFunctorData``712276
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``712390
olookup`1`x`(_$)->PositiveInteger`cFinite``712464
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``712552
olow`1`x`(_$)->S`cSegmentCategory(S)``713026
olowerBound`1`x`(_$)->SpadAst`dStepAst``713115
olowerCase!`1`x`(_$)->_$`cStringAggregate``713216
olowerCase?`1`x`(_$)->Boolean`dCharacter``713320
olowerCase`0`x`()->_$`dCharacterClass``713431
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``713555
olowerCase`1`x`(_$)->_$`dCharacter``713636
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``713807
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``713959
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``714255
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``714457
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``714539
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``714731
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``714845
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``714935
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``715016
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``715110
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``715186
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``715268
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`dCompilerPackage``715395
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`715542
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``715645
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``715756
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`716093
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``716326
omainExpression`1`x`(_$)->SpadAst`dWhereAst``716453
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``716544
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``716634
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``716795
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``717055
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`717379
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`717625
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``717874
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``717998
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``718138
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``718297
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``718456
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``718656
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``718802
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``718888
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``718925
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``719049
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``719156
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``719252
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``719508
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``719831
omakeGraphImage`1`n`(_$)->_$`dGraphImage``720189
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``720593
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``721171
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``721809
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``721893
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``722155
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``722417
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``722723
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``723054
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``723310
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``723587
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``723900
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``724231
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``724643
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``724989
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``725390
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``725752
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``726127
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``726538
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``726972
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``727469
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``727624
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``727707
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``727834
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``727952
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``728038
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``728931
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``729064
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``729131
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`729446
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``729767
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``729907
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``730129
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``730462
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``730688
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``731021
omakeYoungTableau`2`x`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``731263
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``731538
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``731591
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``731633
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``731723
omantissa`1`x`(_$)->Integer`dMachineFloat``731788
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``731847
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`731932
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``732044
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``732149
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``732233
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``732661
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``733239
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``733324
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``733409
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``733494
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``733620
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``733703
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``733786
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``733869
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``733952
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``734121
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``734163
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``734326
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``734428
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``734530
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``734852
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)``735330
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``735436
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)``735475
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``735567
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``735676
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``735772
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``735901
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)``735995
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``736154
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``736191
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``736338
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``736478
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`dInfiniteTupleFunctions2(A,B)``736602
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``736677
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``736843
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``737027
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``737164
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``737336
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``737447
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``737640
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``737780
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``737939
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``737976
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``738013
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``738050
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``738169
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``738275
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``738381
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``738420
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``738515
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)``738553
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``738592
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``738631
omap`2`x`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``738740
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``738863
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``738956
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``739058
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``739153
omap`2`x`((R)->R,_$)->_$`dFactored(R)``739249
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``739523
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``739620
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``739811
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``739891
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``739976
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``740248
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``740425
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``740513
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``740627
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``740798
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``740836
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``741123
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``741245
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``741390
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`741480
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``741701
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``741768
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``741844
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``741977
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`742110
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``742198
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``742309
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``742389
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``742428
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``742467
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``742560
omap`2`x`((R1)->R2,Matrix(R1))->Matrix(R2)`pExpertSystemToolsPackage2(R1,R2)``742653
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``742787
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``742824
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``742917
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``743077
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``743236
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``743332
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``743547
omap`2`x`((S)->S,_$)->_$`dEquation(S)``743757
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``743858
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``743938
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``744064
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``744155
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``744292
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``744597
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``744636
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``744675
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``745086
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``745125
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``745356
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``745598
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``745715
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``745851
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``745955
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``746262
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``746430
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`746736
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``746813
omappingAst`2`x`(List(TypeAst),TypeAst)->_$`dMappingAst``746891
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``746965
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``747080
omat`2`x`(List(DoubleFloat),NonNegativeInteger)->Matrix(DoubleFloat)`pExpertSystemToolsPackage``747148
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``747213
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``747398
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``747778
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``748146
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``748503
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``748874
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``749399
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``749782
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``750150
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``750240
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``750462
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``750552
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``750771
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``750861
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``751081
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``751171
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``751391
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``751481
omatrixConcat3D`3`x`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``751701
omatrixDimensions`1`x`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``751797
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``751866
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``752029
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``752139
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``752285
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``752431
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``752515
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``752630
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``752722
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`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`752812
omaxPoints3D`0`n`()->Integer`dPlot3D``753063
omaxPoints`0`n`()->Integer`dPlot``753139
omaxPoints`0`x`()->Integer`pGraphicsDefaults``753212
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``753286
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``753357
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``753446
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`753533
omax`0`x`()->_$`cOrderedFinite``753596
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`753642
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``753714
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedType``753791
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``753885
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``754043
omaximumExponent`0`x`()->Integer`dMachineFloat``754129
omaximumExponent`1`x`(Integer)->Integer`dMachineFloat``754203
omaxint`0`x`()->PositiveInteger`dMachineInteger``754287
omaxint`1`x`(PositiveInteger)->PositiveInteger`dMachineInteger``754351
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)``754425
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)``754507
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``754571
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String)))->Result`pExpertSystemToolsPackage``754810
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String),extra:Result))->Result`pExpertSystemToolsPackage``754894
omeasure`1`x`(NumericalIntegrationProblem)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``754978
omeasure`1`x`(NumericalODEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``755428
omeasure`1`x`(NumericalOptimizationProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``756159
omeasure`1`x`(NumericalPDEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``756780
omeasure`2`x`(NumericalIntegrationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``757510
omeasure`2`x`(NumericalODEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``758031
omeasure`2`x`(NumericalOptimizationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``758791
omeasure`2`x`(NumericalPDEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``759441
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``760200
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``760735
omeasure`2`x`(RoutinesTable,Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``761256
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``761791
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``762312
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``762833
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`763354
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`764378
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`764757
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`764930
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``765989
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``766096
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``766675
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),_$)->Boolean`dPermutationGroup(S)``766777
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`766896
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``767084
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`767239
omembers`1`x`(_$)->List(S)`dMultiset(S)``767435
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`767565
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``767654
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``767780
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``767877
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``768059
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``768379
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``768458
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`(_$,_$)->_$`dSubSpace(n,R)``768643
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`768732
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``768882
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``769010
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,_$,_$)->_$`cFiniteLinearAggregate(S)``769185
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``769812
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``770026
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``770079
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``770133
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``770184
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``770238
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``770295
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``770506
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``770768
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``771494
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``772385
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``772919
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``773684
omessagePrint`1`n`(String)->Void`dOutputForm``774047
omessage`1`n`(String)->_$`dOutputForm``774187
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``774272
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``774344
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``774421
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``774526
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``774631
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``774724
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``774815
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`774853
ominPoints3D`0`n`()->Integer`dPlot3D``775069
ominPoints`0`n`()->Integer`dPlot``775145
ominPoints`0`x`()->Integer`pGraphicsDefaults``775218
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``775292
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``775363
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``775398
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`775433
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`775503
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``775572
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``775662
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`775750
omin`0`x`()->_$`cOrderedFinite``775813
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`775859
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``775932
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedType``776016
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``776110
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``776187
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``776345
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)``776441
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``776560
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`776681
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`776760
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``776917
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``776993
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``777116
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``777261
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``777405
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``777554
ominimumExponent`0`x`()->Integer`dMachineFloat``777724
ominimumExponent`1`x`(Integer)->Integer`dMachineFloat``777798
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``777882
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`778006
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`778130
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``778218
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``778300
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``778449
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``778598
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``778797
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``778850
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``778899
omirror`1`n`(_$)->_$`dMagma(VarSet)``778997
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``779262
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``779325
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``779439
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``779539
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``779574
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``779736
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`779991
omkcomm`1`x`(Integer)->_$`dCommutator``780110
omkcomm`2`x`(_$,_$)->_$`dCommutator``780150
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``780192
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``780235
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``780498
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``780730
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``781228
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``781694
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``782005
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``782503
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``782628
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)``782737
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`783572
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``783648
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``783742
omodulus`0`n`()->Rep`dModMonic(R,Rep)``783805
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``783843
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``783898
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``783937
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``783976
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``784015
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``784291
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``784359
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``784462
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``784675
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``784868
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``785010
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)``785189
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`785434
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`785658
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``785928
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``786152
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`786304
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`786530
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``786802
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)``787061
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)``787384
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``787751
omonom`2`x`(Basis,R)->_$`cFreeModuleCat(R,Basis)``787846
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``787965
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``788060
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``788127
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``788168
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``788235
omonomial?`1`x`(_$)->Boolean`cFreeModuleCat(R,Basis)``788302
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``788389
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``788462
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``788624
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)->_$`dLaurentPolynomial(R,UP)``788840
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``788882
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``788967
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``789009
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``789117
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``789218
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``789313
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``789439
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)``789565
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``789655
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``789751
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``789826
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``789880
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``789932
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``790093
omonomials`1`x`(_$)->List(_$)`cFreeModuleCat(R,Basis)``790175
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``790260
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`790438
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``790645
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``790724
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``791003
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``791282
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``791363
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``791443
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``791569
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``791815
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``792065
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)``792234
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``792409
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``792485
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``792530
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``792584
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``792787
omultiple?`1`n`(_$)->Boolean`dPattern(R)``792896
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``793041
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``793347
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``793617
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``793778
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``793988
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``794206
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``794339
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``794507
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``794632
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``794750
omultiset`0`x`()->_$`dMultiset(S)``794891
omultiset`1`x`(List(S))->_$`dMultiset(S)``794972
omultiset`1`x`(S)->_$`dMultiset(S)``795048
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``795118
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``795219
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``795320
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``795452
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``795584
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``795632
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``795733
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``795872
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``796095
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``796248
oname`1`n`(_$)->Identifier`dOverloadSet``796287
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``796356
oname`1`n`(_$)->Symbol`dRuleCalled(f)``796397
oname`1`x`(_$)->Identifier`dBinding``796438
oname`1`x`(_$)->Identifier`dHeadAst``796497
oname`1`x`(_$)->Identifier`dProperty``796570
oname`1`x`(_$)->Identifier`dSignatureAst``796630
oname`1`x`(_$)->Name`cFileCategory(Name,S)``796691
oname`1`x`(_$)->S`cOperatorCategory(S)``796761
oname`1`x`(_$)->SpadAst`dAttributeAst``796824
oname`1`x`(_$)->String`cFileNameCategory``796949
oname`1`x`(_$)->_$`dSymbol``797011
onan?`1`x`(_$)->Boolean`dDoubleFloat``797071
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``797171
onand`2`x`(_$,_$)->_$`dBoolean``797276
onary?`1`x`(_$)->Boolean`dBasicOperator``797355
onativeModuleExtension`0`n`()->String`dSystem``797419
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``797526
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``797603
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``797678
onegative?`1`x`(_$)->Boolean`cOrderedAbelianGroup``797809
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``797879
oneglist`1`x`(List(R1))->List(R1)`pExpertSystemToolsPackage1(R1)``797981
onewLine`0`x`()->String`pDisplayPackage``798062
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``798122
onewSubProgram`1`x`(Symbol)->Void`dTheSymbolTable``798161
onewTypeLists`1`x`(_$)->SExpression`dSymbolTable``798268
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``798312
onew`0`n`()->_$`dPatternMatchResult(R,S)``798366
onew`0`n`()->_$`dSubSpace(n,R)``798420
onew`0`n`()->_$`dSubSpaceComponentProperty``798454
onew`0`x`()->_$`dDataArray(N,T)``798488
onew`0`x`()->_$`dSymbol``798567
onew`0`x`()->_$`dTexFormat``798635
onew`1`x`(R)->_$`dSquareMatrix(ndim,R)``798806
onew`1`x`(_$)->_$`dSymbol``798940
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``799017
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``799088
onew`3`x`(String,String,String)->_$`cFileNameCategory``799180
onewline`0`x`()->_$`dCharacter``799492
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``799549
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``799870
onextItem`1`n`(A)->Maybe(A)`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Maybe(S)`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Maybe(S)`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Maybe(_$)`cStepThrough``800577
onextLatticePermutation`3`x`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``800669
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``801107
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``801943
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``802937
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``803329
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``803721
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``803805
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``804866
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``805690
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``805783
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``806827
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``807053
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`807286
onil?`1`x`(_$)->Boolean`dSyntax``807538
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``807618
onil`0`x`()->_$`dList(S)``807770
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`807807
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``808079
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``808169
onoValueMode`0`n`()->_$`dInternalTypeForm``808412
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)`808522
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``808651
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``808764
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)``808903
ononLinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``808984
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``809077
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``809117
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`809244
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``809371
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``809472
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``809573
onor`2`x`(_$,_$)->_$`dBoolean``809676
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``809753
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``809794
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``809837
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)``809944
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``810075
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``810137
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``810200
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``810318
onorm`1`x`(_$)->R`cComplexCategory(R)``810460
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``810521
onorm`1`x`(_$)->R`cOctonionCategory(R)``810636
onorm`1`x`(_$)->R`cQuaternionCategory(R)``810746
onorm`1`x`(_$)->_$`cRealNumberSystem``810842
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``810899
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``811027
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``811156
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``811228
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``811323
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``811457
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``811592
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``811720
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``811849
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``811983
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`812118
onormal01`0`n`()->Float`pRandomFloatDistributions``812405
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``812444
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``812609
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`812708
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``812991
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``813124
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`813223
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``813671
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`813782
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``813955
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``814195
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``814235
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``814400
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``814472
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``814583
onormalize`1`x`(_$)->_$`dFloat``814703
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``814772
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``814914
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``815020
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``815220
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``815430
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``815585
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``815769
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``816093
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`816293
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``816493
onot`1`x`(_$)->_$`cBooleanLogic``816549
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``816617
onothing`0`x`()->_$`dMaybe(T)``816700
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``816762
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``816797
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``816871
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``816943
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``816981
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``817063
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``817147
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``817231
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``817315
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``817529
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``817612
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``817695
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``817778
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``818057
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``818136
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``818358
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``818525
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``818636
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``818926
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``818994
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``819050
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`819131
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`819217
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`819303
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`819389
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`819475
onull`1`x`(_$)->Boolean`dList(S)``819562
onullary?`1`x`(_$)->Boolean`dBasicOperator``819626
onullary`1`x`(A)->()->A`pMappingPackage1(A)``819684
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``819768
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`819901
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`820034
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`820167
onumFunEvals3D`0`n`()->Integer`dPlot3D``820300
onumFunEvals`0`n`()->Integer`dPlot``820369
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`820435
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``820490
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``820538
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``820630
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``820722
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``820917
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``821383
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``821562
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``821664
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``821857
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``822146
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``822232
onumberOfHues`0`x`()->PositiveInteger`dColor``822373
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``822456
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``822894
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``823060
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``823171
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``823269
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``823349
onumberOfOperations`1`x`(Vector(Expression(DoubleFloat)))->Record(additions:Integer,multiplications:Integer,exponentiations:Integer,functionCalls:Integer)`pExpertSystemToolsPackage``823488
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``823633
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`(_$)->A`dLocalAlgebra(A,R,S)``823778
onumer`1`n`(_$)->M`dLocalize(M,R,S)``823835
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``823892
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``824002
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``824074
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``824145
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`824255
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)`824494
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``824572
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``824658
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`824856
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`824981
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`825106
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`825231
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`825389
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`825546
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`825703
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`825770
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`825837
onumeric`1`x`(S)->Float`pNumeric(S)``825904
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`825971
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`826071
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`826170
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``826269
onumericalIntegration`2`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``826369
onumericalIntegration`2`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``826518
onumericalOptimization`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Result`cNumericalOptimizationCategory``826667
onumericalOptimization`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Result`cNumericalOptimizationCategory``826812
oobj`1`x`(_$)->None`dAny``826957
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``827109
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``827340
oocf2ocdf`1`x`(OrderedCompletion(Float))->OrderedCompletion(DoubleFloat)`pExpertSystemToolsPackage``827653
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``827791
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``827899
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`827981
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``828048
oodd?`1`x`(_$)->Boolean`dPermutation(S)``828122
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``828255
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``828398
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``828541
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``828684
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``828827
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``828888
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``829214
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``829588
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``829675
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``829793
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``829927
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`(_$)->Boolean`cMonadWithUnit``829992
oone?`1`x`(_$)->Boolean`cMonoid``830052
oone?`1`x`(_$)->Boolean`dArity``830107
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``830180
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``830286
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``830373
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``830470
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``830543
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``830618
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``830682
ooperation`1`x`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``830796
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`x`(_$)->List(OverloadSet)`cConstructorCategory``830882
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``831045
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``831277
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``831447
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``831537
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``831709
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``831788
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``831900
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``832078
ooperator`1`n`(_$)->SpadAst`dReduceAst``832141
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``832210
ooperator`1`x`(Symbol)->_$`dBasicOperator``832322
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``832402
ooperator`2`x`(Symbol,Arity)->_$`dBasicOperator``832490
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``832570
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``832645
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``832762
ooptAttributes`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->List(String)`pe04AgentsPackage``832815
ooptimize`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``832923
ooptimize`2`x`(Expression(Float),List(Float))->Result`pAnnaNumericalOptimizationPackage``833309
ooptimize`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``833806
ooptimize`2`x`(NumericalOptimizationProblem,RoutinesTable)->Result`pAnnaNumericalOptimizationPackage``834355
ooptimize`4`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``834794
ooptimize`5`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(Expression(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``835397
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``836371
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``836572
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``836758
ooptional?`1`n`(_$)->Boolean`dPattern(R)``836901
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``837005
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``837179
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``837318
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``837546
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``837775
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``838060
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``838343
oor`2`n`(_$,_$)->_$`dOutputForm``838457
oor`2`x`(_$,_$)->_$`cBooleanLogic``838513
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``838584
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``838789
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``838976
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``839164
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``839267
oord`1`x`(_$)->NonNegativeInteger`dCharacter``839402
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)``839543
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``839580
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``839617
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``839654
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``839691
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``839847
oorder`1`x`(_$)->Integer`cFloatingPointSystem``840003
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``840125
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``840331
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``840448
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``840544
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``840631
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``840696
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``840819
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``840955
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``841039
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``841154
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``841277
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`841429
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``841595
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``841636
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``841697
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`841862
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``841997
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``842399
ooutputAsFortran`0`x`()->Void`dAsp12(name)``842525
ooutputAsFortran`0`x`()->Void`dAsp29(name)``842606
ooutputAsFortran`0`x`()->Void`dAsp33(name)``842687
ooutputAsFortran`1`x`(FileName)->Void`pFortranPackage``842768
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``842818
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``842988
ooutputAsFortran`1`x`(_$)->Void`cFortranProgramCategory``843062
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``843164
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``843313
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``843501
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``843653
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``843814
ooutputBinaryFile`1`x`(FileName)->_$`dOutputBinaryFile``843938
ooutputBinaryFile`1`x`(String)->_$`dOutputBinaryFile``844058
ooutputFixed`0`x`()->Void`dFloat``844178
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``844293
ooutputFloating`0`x`()->Void`dFloat``844426
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``844609
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``844764
ooutputForm`1`n`(Integer)->_$`dOutputForm``844836
ooutputForm`1`n`(String)->_$`dOutputForm``844902
ooutputForm`1`n`(Symbol)->_$`dOutputForm``844967
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``845032
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``845212
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``845332
ooutputGeneral`0`x`()->Void`dFloat``845917
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``846108
ooutputList`1`x`(List(Any))->Void`pOutputPackage``846224
ooutputMeasure`1`x`(Float)->String`pExpertSystemToolsPackage``846427
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``846521
ooutput`0`n`()->_$`dIOMode``846661
ooutput`1`x`(OutputForm)->Void`pOutputPackage``846725
ooutput`1`x`(String)->Void`pOutputPackage``846866
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`847002
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``847092
oover`2`n`(_$,_$)->_$`dOutputForm``847260
ooverbar`1`n`(_$)->_$`dOutputForm``847352
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``847420
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``847506
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``847703
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``847843
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``847929
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``848017
opack!`1`x`(_$)->_$`dLibrary``848103
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``848189
opackage`0`n`()->_$`dConstructorKind``848278
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``848332
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``848552
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``848855
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``849158
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``849473
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``849740
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``849868
opair`2`x`(S,T)->_$`dPair(S,T)``849947
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))`850018
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))`850198
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))`850433
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)``850561
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)``851020
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``851538
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``851938
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)``852191
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``852608
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``852816
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``853016
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``853188
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``853491
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``853615
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)``853763
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)``854115
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)``854529
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``854811
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``855055
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``855262
oparametersOf`1`x`(_$)->List(Symbol)`dSymbolTable``855517
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``855606
oparameters`1`x`(_$)->List(ParameterAst)`dHeadAst``855679
oparametric?`1`n`(_$)->Boolean`dPlot``855768
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``855838
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``855966
oparen`1`x`(List(_$))->_$`cExpressionSpace``856041
oparen`1`x`(_$)->_$`cExpressionSpace``856324
oparent`1`n`(_$)->_$`dSubSpace(n,R)``856547
oparents`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``856730
oparseString`1`n`(String)->_$`dInputForm``856833
oparse`1`x`(String)->List(Syntax)`pSpadParser``856912
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``857242
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``857376
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``857597
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``857748
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``857911
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``858143
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``858358
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``858581
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``858631
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``858733
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``858835
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``859154
opartition`1`x`(List(PositiveInteger))->_$`dPartition``859335
opartitions`1`x`(NonNegativeInteger)->Stream(_$)`dPartition``859416
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(PositiveInteger)`dPartition``859498
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``859602
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`859687
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``859881
opastel`1`x`(Color)->_$`dPalette``860028
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)``860124
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)``860379
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`860693
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``860894
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``861085
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``861267
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``861459
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`861638
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``861823
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)``862010
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``862227
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``862532
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``862789
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``863170
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``863361
opdct`1`x`(_$)->PositiveInteger`dPartition``863464
opdf2df`1`x`(Polynomial(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``863617
opdf2ef`1`x`(Polynomial(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``863784
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``863885
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``864003
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``864166
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``864306
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``864434
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``864545
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``865790
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``865902
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``866086
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``866322
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``866531
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``866684
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``866842
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``866988
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``867144
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``867250
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``867503
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``867759
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``867876
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``867978
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`x`()->_$`cTranscendentalFunctionCategory``868028
opi`0`x`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``868079
opi`0`x`()->_$`dPi``868213
opile`1`n`(List(_$))->_$`dOutputForm``868266
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``868466
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``868618
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``868998
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``869459
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``869676
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``869893
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``870010
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``870126
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``870214
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``870343
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``870381
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``870419
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``870561
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``870710
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``870900
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``870979
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``871100
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``871276
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``871520
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``871574
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``871764
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``871816
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``871864
oplus`2`x`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`871982
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``872080
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`872205
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`872416
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`872542
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``872697
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``872770
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``872934
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``873022
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``873132
opointColor`1`x`(Float)->_$`dDrawOption``873358
opointColor`1`x`(Palette)->_$`dDrawOption``873501
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``873672
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``873792
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``873940
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``874121
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``874282
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``874545
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``874594
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``874684
opoint`1`x`(List(R))->_$`cPointCategory(R)``874784
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``874897
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``875017
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``875197
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``875447
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``875609
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``875851
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``876189
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``876428
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``876692
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``876731
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``877205
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`877313
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``877428
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``877640
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``877779
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``877854
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)``877921
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``878471
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``878848
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``879239
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``879332
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``879414
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``879496
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``879630
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``879780
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``879959
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``880188
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``880544
opolynomialZeros`3`x`(Polynomial(Fraction(Integer)),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``880704
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``880944
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``881065
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``881186
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``881334
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``881482
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``881521
opop!`1`x`(_$)->S`cStackAggregate(S)``881678
opopFortranOutputStack`0`x`()->Void`pFortranOutputStackPackage``881898
oport`1`x`(SingleInteger)->_$`dPortNumber``881966
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``882034
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``882110
oposition`1`x`(_$)->SingleInteger`dInputBinaryFile``882189
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,_$)->Integer`cFiniteLinearAggregate(S)``882266
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`882469
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,_$,Integer)->Integer`cStringAggregate``882626
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`882766
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``882968
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``883124
opositive?`1`x`(_$)->Boolean`cOrderedAbelianMonoid``883255
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``883328
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``883430
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``883553
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``883643
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``883769
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``883859
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``884705
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``884919
opostfix`2`n`(_$,_$)->_$`dOutputForm``885075
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``885149
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``885183
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``885457
opowerSum`1`x`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``885563
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`885651
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`885740
opowers`1`x`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``885818
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``885973
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``886050
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``886229
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``886398
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``886457
oprecision`0`x`()->PositiveInteger`dMachineFloat``886521
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`886589
oprecision`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``886674
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``886752
opredicate`1`x`(_$)->SpadAst`dSuchThatAst``886905
opredicates`1`n`(_$)->List(Any)`dPattern(R)``887011
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``887140
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``887372
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``887587
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``887734
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``887914
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``888084
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``888211
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``888338
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``888460
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``888576
opresub`2`n`(_$,_$)->_$`dOutputForm``888692
opresuper`2`n`(_$,_$)->_$`dOutputForm``888774
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``888860
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``888944
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`889131
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`889257
oprimaryDecomp`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``889430
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``889546
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``889620
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``890751
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``890813
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``890977
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``891125
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``891217
oprime`1`n`(_$)->_$`dOutputForm``891314
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``891406
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``891486
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``891574
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``891920
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``892165
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``892371
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``892571
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``892720
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``892957
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``893157
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``893407
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`893796
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``894126
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``894518
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``894860
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`895055
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`895144
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``895267
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`895390
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`895514
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`895645
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`895842
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``896006
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``896199
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``896555
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``896589
oprincipalAncestors`1`x`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``896669
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``896798
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``897016
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``897054
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``897094
oprintCode`1`x`(_$)->Void`dFortranCode``897133
oprintHeader`0`x`()->Void`dTheSymbolTable``897201
oprintHeader`1`x`(Symbol)->Void`dTheSymbolTable``897349
oprintHeader`2`x`(Symbol,_$)->Void`dTheSymbolTable``897495
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``897645
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))->_$`dFortranCode``897890
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``897969
oprintTypes`1`x`(Symbol)->Void`dTheSymbolTable``898021
oprintTypes`1`x`(_$)->Void`dSymbolTable``898142
oprint`1`n`(_$)->Void`dOutputForm``898263
oprint`1`x`(OutputForm)->Void`pPrintPackage``898312
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``898423
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``898544
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``898720
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pd01AgentsPackage``898934
oprocessTemplate`1`x`(FileName)->FileName`dFortranTemplate``899138
oprocessTemplate`2`x`(FileName,FileName)->FileName`dFortranTemplate``899265
oprod`1`n`(_$)->_$`dOutputForm``899375
oprod`2`n`(_$,_$)->_$`dOutputForm``899463
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``899587
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``899749
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``899855
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``900002
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``900108
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``900255
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``900687
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``900950
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``901060
oprologue`1`x`(_$)->List(String)`dTexFormat``901376
oproperties`1`x`(_$)->AssociationList(String,None)`dBasicOperator``901456
oproperties`1`x`(_$)->List(Property)`dBinding``901557
oproperty`2`x`(Identifier,SExpression)->_$`dProperty``901642
oproperty`2`x`(_$,Identifier)->Maybe(None)`dBasicOperator``901725
oproperty`2`x`(_$,String)->Union(None,"failed")`dBasicOperator``901854
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)``901981
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`902097
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``902290
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`902538
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``902730
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)``902967
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)``903096
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)``903246
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)``903397
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``903538
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)``903765
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``903929
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)``904165
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``904330
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``904567
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``904766
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``905009
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``905260
optree`1`x`(S)->_$`dPendantTree(S)``905353
optree`2`x`(_$,_$)->_$`dPendantTree(S)``905400
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``905439
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``905622
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``905692
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``905804
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``906046
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``906099
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``906267
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``906489
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``906703
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``906840
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``907181
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``907321
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``907517
opush!`2`x`(S,_$)->S`cStackAggregate(S)``907665
opushFortranOutputStack`1`x`(FileName)->Void`pFortranOutputStackPackage``907927
opushFortranOutputStack`1`x`(String)->Void`pFortranOutputStackPackage``908013
opushNewContour`2`x`(Binding,_$)->_$`dScope``908099
opush`2`x`(Binding,_$)->_$`dContour``908176
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``908239
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``908284
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``908328
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``908478
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``908631
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``908779
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``908915
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``908958
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``909000
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``909158
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``909362
oputProperties`3`x`(Identifier,List(Property),_$)->_$`dEnvironment``909774
oputProperty`4`x`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``909881
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``909994
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``910211
oqelt`2`x`(_$,NonNegativeInteger)->T`dDataArray(N,T)``910580
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``910679
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``910873
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``911045
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``911157
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``911297
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``911343
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`911434
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``911686
oqsetelt`3`x`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``911863
oquadratic?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``911983
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``912062
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``912162
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``912248
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``912289
oqualifier`1`x`(_$)->SpadAst`dWhereAst``912334
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``912406
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``912445
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``912492
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``912686
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``912843
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``913058
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``913240
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``913321
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``913402
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``913473
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``913544
oqueue`1`x`(List(S))->_$`dQueue(S)``913613
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``913767
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``913890
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``914159
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``914216
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``914325
oquote`0`x`()->_$`dCharacter``914422
oquote`1`n`(_$)->_$`dOutputForm``914491
oquoted?`1`n`(_$)->Boolean`dPattern(R)``914561
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``914645
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``914872
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``914947
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``915098
orCoord`1`n`(Point(R))->R`pPointPackage(R)``915201
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``915472
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``915597
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``915751
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``915949
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``916130
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``916368
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``916520
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)``916698
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``917016
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``917213
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``917379
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``917590
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``917781
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``917950
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``918143
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``918340
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)``918571
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``918639
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``918721
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``918883
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``918950
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``919020
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``919087
orandnum`0`x`()->Integer`pRandomNumberSource``919183
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``919248
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``919316
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``919377
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``919433
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``919493
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`()->_$`cFinite``919555
orandom`0`x`()->_$`cIntegerNumberSystem``919617
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`919666
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``919716
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``919839
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``919923
orandom`1`x`(_$)->_$`cIntegerNumberSystem``920059
orandom`1`x`(_$)->_$`dNonNegativeInteger``920130
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``920201
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``920368
orangeIsFinite`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")`pd01AgentsPackage``920474
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``920574
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``920654
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``920773
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``920898
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``921023
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``921177
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``921309
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``921513
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``921744
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``921798
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``921871
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`921934
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`921997
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`922060
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``922123
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``922266
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``922380
orarrow`2`n`(_$,_$)->_$`dOutputForm``922494
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``922566
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``922704
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``922820
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``922946
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``923064
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``923369
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``923595
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``923900
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``924126
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)``924254
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`924361
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``924428
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`924529
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`924645
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`924841
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`924961
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`925035
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``925109
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``925245
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``925381
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``925559
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`925735
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`925869
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``926030
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`926149
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``926271
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`926376
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`926491
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`926716
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`926826
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`926938
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``927051
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``927129
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``927207
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`927290
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``927373
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``927471
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`927580
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``927690
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`927778
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`927898
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`928109
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`928269
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`928386
oratpart`1`n`(_$)->F`dIntegrationResult(F)``928501
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``928578
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``928699
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)``928742
oread!`1`x`(_$)->S`cFileCategory(Name,S)``928815
oreadByte!`1`x`(_$)->Maybe(Byte)`cInputByteConduit``928979
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``929129
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``929318
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``929513
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`x`(_$)->Maybe(Int16)`cInputByteConduit``929726
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`x`(_$)->Maybe(Int32)`cInputByteConduit``929888
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`x`(_$)->Maybe(Int8)`cInputByteConduit``930050
oreadLine!`1`x`(_$)->String`dTextFile``930210
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``930304
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`x`(_$)->Maybe(UInt16)`cInputByteConduit``930521
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`x`(_$)->Maybe(UInt32)`cInputByteConduit``930684
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`x`(_$)->Maybe(UInt8)`cInputByteConduit``930847
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``931008
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``931099
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``931164
oreal?`1`x`(_$)->Boolean`dFortranScalarType``931229
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``931315
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``931542
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``931839
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``931989
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``932175
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``932292
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``932613
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``932700
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``932980
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``933074
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``933286
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``933388
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``934287
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``934418
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``934549
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``934708
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``934867
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``935061
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``935255
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``935480
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``935705
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``935799
oreal`1`x`(_$)->R`cComplexCategory(R)``935893
oreal`1`x`(_$)->R`cOctonionCategory(R)``935946
oreal`1`x`(_$)->R`cQuaternionCategory(R)``936009
orecip`0`n`()->_$`dMoebiusTransform(F)``936078
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``936176
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``936279
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``936316
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``936353
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`936397
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``936623
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``936818
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``936958
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``937072
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``937268
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``937360
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``937530
orecoverAfterFail`3`x`(_$,String,Integer)->Union(String,"failed")`dRoutinesTable``937628
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``937738
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``937863
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``937974
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``938035
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``938069
ored`0`x`()->_$`dColor``938104
ored`1`x`(_$)->T`cRGBColorModel(T)``938177
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``938234
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oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``938485
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``938645
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``938774
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``939117
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)->_$`dModMonic(R,Rep)``939204
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``939242
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
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oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`939411
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``939495
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``939648
oreduce`1`x`(_$)->_$`dAlgebraicNumber``939779
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`939908
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
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oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``940080
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``940120
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`940160
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oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
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oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``940574
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``940744
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``941101
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``941437
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``941767
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``941937
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``942064
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oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``945137
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``945433
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``945485
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``945721
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
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oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``945884
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``946022
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``946185
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``946346
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``946454
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``946545
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``946730
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``946911
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``946951
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`946991
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``947057
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``947166
oreductum`1`x`(_$)->_$`cFreeModuleCat(R,Basis)``947277
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``947344
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``947511
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``947629
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``947747
oref`1`n`(S)->_$`dReference(S)``947917
orefine`1`n`(_$)->_$`dPlot3D``947992
orefine`1`n`(_$)->_$`dPlot``948030
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``948097
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``948180
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``948584
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``948626
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``948666
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``948706
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``948885
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)``949064
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oreflect`1`x`(ConstructorCall(DomainConstructor))->_$`dDomain``949672
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oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``950702
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``950978
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``951130
oreify`1`x`(_$)->ConstructorCall(DomainConstructor)`dDomain``951302
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``951373
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`951621
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``951733
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``951871
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``952012
orelerror`2`x`(_$,_$)->Integer`dFloat``952144
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``952260
orem`2`x`(_$,_$)->_$`cEuclideanDomain``952317
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``952427
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
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oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``952842
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`952914
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``953070
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``953206
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`953410
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`953551
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``953635
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``953930
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`954177
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``954287
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``954466
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`954649
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``954732
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))`954834
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`954924
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`955223
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`955594
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``955945
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``956660
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``956956
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``957267
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``957400
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`957617
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``957983
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``958135
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``958445
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``958734
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``958913
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``959096
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``959282
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``959388
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``959494
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``959676
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``959858
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``960165
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``960729
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``961268
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``961380
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)``961844
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`962067
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``962311
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`962505
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``962718
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``962998
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``963230
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``963314
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``963392
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``963580
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``963722
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``963864
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``964006
orepeatUntilLoop`2`x`(Switch,_$)->_$`dFortranCode``964137
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`964216
orepeating`1`x`(List(S))->_$`dStream(S)``964351
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``964435
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``964623
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``964747
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``964904
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``965043
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``965184
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)``965349
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``965433
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``965542
oreseed`1`x`(Integer)->Void`pRandomNumberSource``965638
oresetAttributeButtons`0`x`()->Void`dAttributeButtons``965712
oresetBadValues`1`n`(_$)->_$`dPattern(R)``965800
oresetNew`0`x`()->Void`dSymbol``965960
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``966087
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``966211
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``966427
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``966647
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``966688
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``966808
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``967053
oresolve`1`x`(Hostname)->Maybe(_$)`dIP4Address``967302
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dMagma(VarSet)``967371
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``967529
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``967593
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``967668
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``967836
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``967976
orestorePrecision`0`x`()->Void`pNAGLinkSupportPackage``968110
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``968159
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``968389
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``968528
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`968702
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`968889
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``969014
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`969124
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`969217
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oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``969605
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``969770
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``969814
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``969980
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`970109
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``970451
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`970580
oretractIfCan`1`x`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``970922
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``971264
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`971393
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``971735
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`971864
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``972206
oretractIfCan`1`x`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``972385
oretractIfCan`1`x`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``972514
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``972643
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``972772
oretractIfCan`1`x`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``972901
oretractIfCan`1`x`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``973030
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``973159
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`973288
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`973630
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``973778
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`973907
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`974055
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`974203
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`974545
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`974693
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`974841
oretractIfCan`1`x`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``974989
oretractIfCan`1`x`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``975263
oretractIfCan`1`x`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``975392
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``975521
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``975650
oretractIfCan`1`x`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``975779
oretractIfCan`1`x`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``975908
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``976037
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)``976187
oretract`1`x`(Expression(Float))->_$`cFortranFunctionCategory``976351
oretract`1`x`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`976475
oretract`1`x`(Expression(Integer))->_$`cFortranFunctionCategory``976804
oretract`1`x`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`976928
oretract`1`x`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``977257
oretract`1`x`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``977586
oretract`1`x`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`977710
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``978039
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`978163
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``978492
oretract`1`x`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``978658
oretract`1`x`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``978782
oretract`1`x`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``978906
oretract`1`x`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``979030
oretract`1`x`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``979154
oretract`1`x`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``979278
oretract`1`x`(Polynomial(Float))->_$`cFortranFunctionCategory``979402
oretract`1`x`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`979526
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`979855
oretract`1`x`(Polynomial(Integer))->_$`cFortranFunctionCategory``980043
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`980167
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`980355
oretract`1`x`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`980543
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`980872
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`981060
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`981248
oretract`1`x`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``981436
oretract`1`x`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``981697
oretract`1`x`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``981821
oretract`1`x`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``981945
oretract`1`x`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``982069
oretract`1`x`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``982193
oretract`1`x`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``982317
oretract`1`x`(_$)->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``982441
oretract`1`x`(_$)->Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat)`dNumericalODEProblem``982482
oretract`1`x`(_$)->S`cRetractableTo(S)``982523
oretract`1`x`(_$)->Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))`dNumericalIntegrationProblem``982658
oretract`1`x`(_$)->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``982699
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``982740
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``982846
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``982973
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``983068
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``983163
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``983259
oreturnType!`1`x`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``983357
oreturnType!`2`x`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``983481
oreturnType!`3`x`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``983605
oreturnTypeOf`2`x`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``983733
oreturns`0`x`()->_$`dFortranCode``983819
oreturns`1`x`(Expression(Complex(Float)))->_$`dFortranCode``983899
oreturns`1`x`(Expression(Float))->_$`dFortranCode``984002
oreturns`1`x`(Expression(Integer))->_$`dFortranCode``984105
oreturns`1`x`(Expression(MachineComplex))->_$`dFortranCode``984208
oreturns`1`x`(Expression(MachineFloat))->_$`dFortranCode``984311
oreturns`1`x`(Expression(MachineInteger))->_$`dFortranCode``984414
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)``984517
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``984627
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`984800
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``984879
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``985073
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``985142
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``985361
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``985446
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``985643
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`985838
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``986169
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`986594
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``986903
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``987505
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``988489
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``988545
orhs`1`x`(_$)->S`dEquation(S)``988616
orhs`1`x`(_$)->SpadAst`dCaseAst``988691
orhs`1`x`(_$)->SpadAst`dHasAst``988768
orhs`1`x`(_$)->SpadAst`dIsAst``988845
orhs`1`x`(_$)->SpadAst`dLetAst``988920
orhs`1`x`(_$)->TypeAst`dColonAst``989003
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`989081
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`989195
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`989309
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``989528
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`989693
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``989912
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``990077
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``990347
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``990617
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``990663
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``990877
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``991091
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``991251
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``991622
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``991993
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`992297
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`992494
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`992737
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`992845
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``992955
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``993009
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`993293
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`993531
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`993730
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``993966
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``994093
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`994193
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`994252
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``994311
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``994498
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`994685
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`994874
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``994972
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`995213
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``995454
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`995613
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``995828
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``996012
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)``996186
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`996385
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``996575
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``996766
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``997054
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``997342
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``997552
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``997647
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``997822
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`998018
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)``998145
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`998270
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`998396
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``998455
oright`1`n`(_$)->_$`dMagma(VarSet)``998613
oright`1`n`(_$)->_$`dOutputForm``998766
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``998835
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``998911
oright`2`n`(_$,Integer)->_$`dOutputForm``998959
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``999046
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``999411
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``999721
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``999910
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1000553
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1000792
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1001113
ork4qc`14`x`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1001607
ork4qc`7`x`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1002092
oroman`1`x`(Integer)->_$`dRomanNumeral``1002556
oroman`1`x`(Symbol)->_$`dRomanNumeral``1002617
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1002685
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1003373
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1004055
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1004092
orootDirectory`0`n`()->String`dSystem``1004189
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1004296
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1004363
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1004568
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``1004818
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1004942
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1005010
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1005134
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``1005248
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1005368
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1005482
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1005580
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1005693
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1005821
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1005992
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1006150
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1006385
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1006600
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`1006723
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1006955
oroot`1`n`(_$)->_$`dOutputForm``1007185
oroot`2`n`(_$,_$)->_$`dOutputForm``1007260
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1007341
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1007469
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1007709
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1007893
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1008136
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1008384
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1008632
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1008826
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1009063
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1009419
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1009517
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1009615
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1009713
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1009887
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1010005
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1010249
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1010519
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1010661
oroutines`0`x`()->_$`dRoutinesTable``1010725
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1010795
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1010960
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1011067
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1011253
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1011386
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1011467
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1011548
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1011629
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1011710
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1012001
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1012124
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1012240
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``1012323
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1012516
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1012631
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1012713
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1012795
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1012890
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1012981
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1013074
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1013264
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1015841
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1015982
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1016349
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1016413
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1016489
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1016551
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1017682
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1018163
os01eaf`2`x`(Complex(DoubleFloat),Integer)->Result`pNagSpecialFunctionsPackage``1018311
os13aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018468
os13acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018664
os13adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018780
os14aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018894
os14abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019052
os14baf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019203
os15adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019386
os15aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019558
os17acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019712
os17adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019903
os17aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020094
os17aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020285
os17agf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020476
os17ahf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020637
os17ajf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020797
os17akf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1020972
os17dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1021148
os17def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1021475
os17dgf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1021802
os17dhf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1022044
os17dlf`6`x`(Integer,DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1022286
os18acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1022702
os18adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1022902
os18aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1023102
os18aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1023302
os18dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1023501
os18def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1023837
os19aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024173
os19abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024324
os19acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024475
os19adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024629
os20acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024780
os20adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1024940
os21baf`3`x`(DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1025100
os21bbf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1025323
os21bcf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1025498
os21bdf`5`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1025674
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1025851
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1025884
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1026019
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1026170
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1026325
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)``1026524
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``1026580
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osample`0`x`()->_$`cAbelianMonoid``1026636
osample`0`x`()->_$`cAggregate``1026683
osample`0`x`()->_$`cMonoid``1026730
osample`0`x`()->_$`dByte``1026777
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1026833
osample`0`x`()->_$`dSymbol``1026886
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1026932
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1027042
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1027173
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1027398
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1027543
osave`0`x`()->_$`dFortranCode``1027706
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1027773
osayLength`1`x`(String)->Integer`pDisplayPackage``1027864
osay`1`x`(List(String))->Void`pDisplayPackage``1027946
osay`1`x`(String)->Void`pDisplayPackage``1028011
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1028067
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1028190
oscalarTypeOf`1`x`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1028315
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1028387
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1028488
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1028587
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1028685
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1028798
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1029109
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1029787
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1030020
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1030399
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1030685
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1030965
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1031198
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1031477
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1031756
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1031917
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1032056
oscopes`1`x`(_$)->List(Scope)`dEnvironment``1032316
oscreenResolution3D`0`n`()->Integer`dPlot3D``1032393
oscreenResolution`0`n`()->Integer`dPlot``1032474
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1032537
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1032610
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1032684
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1033003
oscripted?`1`x`(_$)->Boolean`dSymbol``1033190
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1033272
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1033334
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``1033464
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemToolsPackage``1033574
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pd01AgentsPackage``1033663
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1033760
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1033819
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1034039
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1034137
osec`1`n`(F)->F`pElementaryFunction(R,F)``1034224
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)``1034285
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1034352
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1034419
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1034487
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1034557
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1034610
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1034712
osech`1`n`(F)->F`pElementaryFunction(R,F)``1034801
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)``1034874
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1034957
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1035040
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1035120
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1035202
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1035267
osecond`1`x`(_$)->T`dPair(S,T)``1035387
oseed`0`x`()->Integer`pRandomNumberSource``1035450
osegment`1`x`(S)->_$`dUniversalSegment(S)``1035503
osegment`1`x`(_$)->S`dRangeBinding(S,T)``1035585
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1035772
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(_$,ATTRIBUTE(finiteAggregate))`1035854
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1036013
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1036141
oselectFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1036411
oselectIntegrationRoutines`1`x`(_$)->_$`dRoutinesTable``1036546
oselectMultiDimensionalRoutines`1`x`(_$)->_$`dRoutinesTable``1036661
oselectNonFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1036817
oselectODEIVPRoutines`1`x`(_$)->_$`dRoutinesTable``1036960
oselectOptimizationRoutines`1`x`(_$)->_$`dRoutinesTable``1037080
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1037196
oselectPDERoutines`1`x`(_$)->_$`dRoutinesTable``1037464
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1037581
oselectSumOfSquaresRoutines`1`x`(_$)->_$`dRoutinesTable``1037805
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1037943
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`1038039
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1038274
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1038454
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1038518
oselectfirst`1`n`(_$)->A`dProduct(A,B)``1038642
oselectsecond`1`n`(_$)->B`dProduct(A,B)``1038685
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1038729
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1038985
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1039194
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1039474
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1039724
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1039893
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1040104
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1040283
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1040478
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1040751
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1041080
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1041183
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1041308
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1041460
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1041626
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1041808
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1041848
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1042014
osequence`1`n`(_$)->SpadAst`dInAst``1042147
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1042233
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1042405
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1042744
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1042979
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1043077
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1043456
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1043565
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1043672
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1043797
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1044134
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1044306
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1044498
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1044657
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1044753
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1045183
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1045382
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1045563
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1045655
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1045854
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1046053
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1046114
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1046196
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1046299
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1046539
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1046849
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1047030
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1047189
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1047267
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1047487
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1047656
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1047868
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1047987
osetAttributeButtonStep`1`x`(Float)->Float`dAttributeButtons``1048100
osetButtonValue`2`x`(String,Float)->Float`dAttributeButtons``1048307
osetButtonValue`3`x`(String,String,Float)->Float`dAttributeButtons``1048619
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1048974
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1049097
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1049269
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1049351
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1049513
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1049684
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1049761
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1049867
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1050166
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1050347
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1050498
osetLabelValue`1`x`(SingleInteger)->SingleInteger`dFortranCode``1050677
osetLegalFortranSourceExtensions`1`x`(List(String))->List(String)`pFortranPackage``1050761
osetLength!`2`x`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``1050826
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1050944
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1051033
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1051119
osetMinPoints`1`n`(Integer)->Integer`dPlot``1051208
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1051294
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1051459
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1051788
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1052158
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1052197
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1052274
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1052379
osetProperties`2`x`(_$,AssociationList(String,None))->_$`dBasicOperator``1052485
osetProperty`3`x`(_$,Identifier,None)->_$`dBasicOperator``1052649
osetProperty`3`x`(_$,String,None)->_$`dBasicOperator``1052840
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1053031
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1053177
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1053253
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1053347
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1053423
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1053579
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1053925
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1054021
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1054144
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1054312
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1054466
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1054601
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1054777
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1054856
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1054966
osetelt!`5`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1055098
osetelt`2`n`(_$,S)->S`dReference(S)``1055236
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))`1055316
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1055458
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1055597
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1055723
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1055862
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1055998
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`1056126
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1056315
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``1056475
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1056602
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`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1056982
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``1057154
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1057456
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1057543
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1057635
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1057741
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1057818
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1057950
osetref`2`n`(_$,S)->S`dReference(S)``1058090
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1058144
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1058228
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1058348
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``1058426
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1058630
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1058704
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1058781
oshade`1`n`(Point(R))->R`pPointPackage(R)``1058908
oshade`1`x`(_$)->Integer`dPalette``1059237
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1059319
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1059362
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1059409
oshape`1`n`(_$)->Partition`dYoungDiagram``1059677
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1059739
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1059862
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1059924
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1060007
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1060121
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1060220
oshift`2`x`(_$,Integer)->_$`dFloat``1060318
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1060392
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1060450
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1060510
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1060609
oshowArrayValues`1`x`(Boolean)->Boolean`dResult``1060703
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``1060837
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1060885
oshowFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``1061137
oshowIntensityFunctions`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float),"failed")`dODEIntensityFunctionsTable``1061209
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1061315
oshowScalarValues`1`x`(Boolean)->Boolean`dResult``1061557
oshowSummary`1`x`(_$)->Void`dDomain``1061693
oshowTheFTable`0`x`()->_$`dIntegrationFunctionsTable``1061782
oshowTheIFTable`0`x`()->_$`dODEIntensityFunctionsTable``1061852
oshowTheRoutinesTable`0`x`()->_$`dRoutinesTable``1061933
oshowTheSymbolTable`0`x`()->_$`dTheSymbolTable``1062013
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1062082
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1062329
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1062449
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1062658
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1062806
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1062852
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1062898
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1062946
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1062982
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1063063
osign`1`x`(_$)->Integer`cOrderedAbelianGroup``1063143
osign`1`x`(_$)->Integer`dPermutation(S)``1063265
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1063361
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1063453
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1063579
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1063710
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1063866
osignatureAst`2`x`(Identifier,Signature)->_$`dSignatureAst``1064086
osignature`1`n`(_$)->Signature`dFunctionDescriptor``1064169
osignature`1`n`(_$)->Signature`dOperatorSignature``1064253
osignature`1`x`(_$)->Signature`dDefinitionAst``1064310
osignature`1`x`(_$)->Signature`dSignatureAst``1064499
osignature`2`x`(List(Syntax),Syntax)->_$`dSignature``1064573
osimpleBounds?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``1064707
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1064806
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1064923
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1065134
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`dPropositionalFormulaFunctions1(T)``1065193
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1065314
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1065618
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065682
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1066159
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1066837
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1067519
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1067617
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1067702
osin`1`n`(E)->_$`dFourierComponent(E)``1067789
osin`1`n`(F)->F`pElementaryFunction(R,F)``1067855
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1067914
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1067979
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1068044
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1068110
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1068178
osin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1068229
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1068296
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1068398
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1068841
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1069390
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1069571
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1069817
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1069884
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1069954
osingularitiesOf`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Stream(DoubleFloat)`pd01AgentsPackage``1070035
osingularitiesOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1070152
osingularitiesOf`3`x`(Vector(Expression(DoubleFloat)),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1070375
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1070598
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1070700
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1070789
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)``1070860
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1070941
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1071022
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1071100
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1071180
osinh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1071243
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1071312
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``1071427
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1071501
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1071653
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1071833
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1072013
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1072193
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1072296
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``1072392
osize`0`x`()->NonNegativeInteger`cFinite``1072456
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``1072520
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1072587
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1072654
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1072726
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1072881
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1072923
oslash`2`n`(_$,_$)->_$`dOutputForm``1073111
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1073206
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1073400
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1073477
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1073566
osocf2socdf`1`x`(Segment(OrderedCompletion(Float)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``1073612
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1073766
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1073804
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1073843
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1074112
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1074262
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)``1074407
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1074818
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1075054
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``1075458
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1075862
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1076107
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1076395
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``1076640
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`1076885
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`1077071
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``1077235
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1077411
osolve`10`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String,DoubleFloat)->Result`pAnnaPartialDifferentialEquationPackage``1077664
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1078847
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1079027
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1079064
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1079274
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1079404
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1079603
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1079740
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1079893
osolve`1`x`(NumericalODEProblem)->Result`pAnnaOrdinaryDifferentialEquationPackage``1080033
osolve`1`x`(NumericalPDEProblem)->Result`pAnnaPartialDifferentialEquationPackage``1081213
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1081825
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1082000
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1082121
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1082241
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1082423
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1082632
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1082743
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1082921
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1083140
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1083276
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1083415
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1083617
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1083768
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1083987
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1084125
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1084331
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1084476
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1084621
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1084827
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1085033
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1085150
osolve`2`x`(NumericalODEProblem,RoutinesTable)->Result`pAnnaOrdinaryDifferentialEquationPackage``1085295
osolve`2`x`(NumericalPDEProblem,RoutinesTable)->Result`pAnnaPartialDifferentialEquationPackage``1086529
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)``1087157
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1087569
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1088353
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1089090
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1089653
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1090053
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1090453
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1090767
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1091002
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1091275
osolve`4`x`(Vector(Expression(Float)),Float,Float,List(Float))->Result`pAnnaOrdinaryDifferentialEquationPackage``1091548
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1092761
osolve`5`x`(Vector(Expression(Float)),Float,Float,List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1092988
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1094199
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1095562
osolve`7`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1096896
osolve`8`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float,Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1098392
osolve`9`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String)->Result`pAnnaPartialDifferentialEquationPackage``1099960
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1101130
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1101310
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(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`1101372
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1101450
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``1101531
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1101740
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1102024
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)``1102152
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1102252
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`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1102479
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``1102562
osource`1`x`(_$)->List(Syntax)`dSignature``1102651
osource`1`x`(_$)->List(TypeAst)`dMappingAst``1102719
ospace`0`x`()->_$`dCharacter``1102787
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1102837
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1103030
osparsityIF`1`x`(Matrix(Expression(DoubleFloat)))->Float`pd02AgentsPackage``1103141
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1103214
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1103278
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1103540
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1103805
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1103928
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1104089
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1104250
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``1104398
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1104550
osplitLinear`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pe04AgentsPackage``1104752
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1104841
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1105138
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1105452
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1105784
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1105960
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1106136
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1106227
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1106489
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1107300
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1107459
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1107617
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1107704
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1107797
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1107949
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1108028
osqrt`1`x`(Integer)->_$`cRealClosedField``1108087
osqrt`1`x`(_$)->_$`cRadicalCategory``1108146
osqrt`1`x`(_$)->_$`cRealClosedField``1108205
osqrt`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1108264
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1108333
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1108455
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1108525
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1108700
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1108875
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1108992
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1109413
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1109584
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1109720
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1109833
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1110353
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`1110468
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1110522
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1110641
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1110727
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1110833
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1111011
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``1111201
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1111454
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1111628
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1111971
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1112065
osquareMatrix`1`x`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1112250
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1112369
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1112542
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1112676
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1112810
ostack`1`x`(List(S))->_$`dStack(S)``1112943
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1113088
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1113762
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1114202
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1114336
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1114462
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1114588
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1114714
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1114843
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1114916
ostep`1`x`(_$)->SpadAst`dStepAst``1115058
ostiffnessAndStabilityFactor`1`x`(Matrix(Expression(DoubleFloat)))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1115187
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``1115714
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1116297
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1116395
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1116495
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1116769
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1117064
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1117156
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1117248
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1117340
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`x`()->_$`dFortranCode``1117435
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1117502
ostring`1`n`(_$)->_$`dOutputForm``1117584
ostring`1`x`(DoubleFloat)->_$`dString``1117645
ostring`1`x`(Integer)->_$`dString``1117727
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1117809
ostring`1`x`(_$)->String`dSymbol``1117932
ostripCommentsAndBlanks`1`x`(String)->String`pTemplateUtilities``1118035
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1118177
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1118262
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1118548
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1118710
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1118849
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1119097
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)``1119345
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1119636
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1119893
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1120333
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``1120773
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1120821
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1120895
ostyle`1`x`(String)->_$`dDrawOption``1121048
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1121224
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1121426
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1121540
osubHeight`1`n`(_$)->Integer`dOutputForm``1121654
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1121738
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1121935
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1122129
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1122358
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1122488
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1122618
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1122761
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1122904
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1123055
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1123215
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1123427
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1123685
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1123822
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1124195
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1124326
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1124485
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1124808
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1124906
osub`2`n`(_$,_$)->_$`dOutputForm``1125004
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1125080
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1125156
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1125271
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1125457
osubscriptedVariables`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pd03AgentsPackage``1125549
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1125603
osubspace`0`n`()->_$`dSubSpace(n,R)``1125801
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1125840
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1125978
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1126162
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`(_$,Equation(_$))->_$`cExpressionSpace``1126372
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1126465
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1126599
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1126722
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1126858
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1126949
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1127137
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1127261
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1127381
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1127527
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1127633
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1127789
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1127860
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1127980
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1128106
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1128237
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1128577
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1128771
osumOfSquares`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pe04AgentsPackage``1129027
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1129145
osum`1`n`(_$)->_$`dOutputForm``1129381
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1129464
osum`2`n`(_$,_$)->_$`dOutputForm``1129644
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1129763
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1129868
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1129968
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1130043
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1130223
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1130298
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1130478
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1130555
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1130712
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1130816
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1130970
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1131074
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1131228
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1131444
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1131660
osup`1`x`(_$)->R`cIntervalCategory(R)``1131860
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1131923
osuperHeight`1`n`(_$)->Integer`dOutputForm``1132029
osuper`2`n`(_$,_$)->_$`dOutputForm``1132115
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1132195
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1132291
osupport`1`x`(_$)->Set(S)`cPermutationCategory(S)``1132414
osupport`1`x`(_$)->Set(S)`dPermutationGroup(S)``1132503
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1132577
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`1132706
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1132833
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1132969
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1133099
oswap`1`x`(_$)->_$`dEquation(S)``1133165
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1133249
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1133360
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1133507
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1133687
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1133810
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1133866
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1133948
osymbolTableOf`2`x`(Symbol,_$)->SymbolTable`dTheSymbolTable``1134064
osymbolTable`1`x`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1134136
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1134219
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1134342
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1134538
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1134734
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1135166
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1135401
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1135596
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1135781
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1136003
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1136208
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1136450
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1136557
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1136659
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1137223
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1137754
osystemSizeIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``1137972
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1138155
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1138245
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1138334
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1138493
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1138526
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1138598
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1138804
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1139110
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1139417
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1139490
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1139607
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``1139682
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1139810
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1139946
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1140126
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1140224
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1140328
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1140434
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1140521
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1140629
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1140708
otan`1`n`(F)->F`pElementaryFunction(R,F)``1140850
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1140912
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1140980
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1141048
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1141117
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1141188
otan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1141242
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1141309
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1141411
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1141520
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1141609
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1141683
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1141767
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1141851
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1141932
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1142015
otanh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1142081
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1142150
otarget`1`x`(_$)->Syntax`dSignature``1142363
otarget`1`x`(_$)->TypeAst`dCoerceAst``1142433
otarget`1`x`(_$)->TypeAst`dMappingAst``1142501
otarget`1`x`(_$)->TypeAst`dPretendAst``1142562
otarget`1`x`(_$)->TypeAst`dRestrictAst``1142630
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1142698
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1142854
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1142951
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1143068
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1143249
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1143317
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1143458
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1143540
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1143650
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1143890
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1144059
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1144223
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1144301
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1144464
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1144809
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1144908
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1145262
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``1145544
oterms`1`x`(_$)->List(Pair(S,A))`cIndexedDirectProductCategory(A,S)``1145704
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1145872
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1145953
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1146135
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1146249
otest`1`x`(_$)->_$`dBoolean``1146450
otex`1`x`(_$)->List(String)`dTexFormat``1146546
othenBranch`1`x`(_$)->SpadAst`dIfAst``1146616
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1146678
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1146954
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1147077
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1147274
otitle`1`x`(String)->_$`dDrawOption``1147389
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1147531
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1147733
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1147887
otoScale`1`x`(Boolean)->_$`dDrawOption``1148045
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1148275
otop!`1`x`(_$)->S`cDequeueAggregate(S)``1148481
otopFortranOutputStack`0`x`()->String`pFortranOutputStackPackage``1148558
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1148648
otop`1`x`(_$)->S`cStackAggregate(S)``1148836
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1149014
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1149319
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1149359
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1149399
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1149444
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1149488
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1149635
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1149782
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1149933
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1150090
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1150230
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`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1150334
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1150468
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1150572
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1150833
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1151013
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1151244
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1151280
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1151385
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1151541
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1151696
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1151851
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1151947
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1152059
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1152203
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1152313
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1152450
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1152547
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1152836
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1152884
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1153012
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)``1153136
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1153174
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1153280
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1153500
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1153964
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1154034
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1154107
otranspose`1`x`(_$)->_$`dSquareMatrix(ndim,R)``1154348
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1154421
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1154697
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1155393
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1156083
otree`1`x`(List(S))->_$`dTree(S)``1156420
otree`1`x`(S)->_$`dTree(S)``1156495
otree`2`x`(S,List(_$))->_$`dTree(S)``1156573
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1156662
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1156747
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1156832
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1157905
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1158102
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1158455
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1158799
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``1158965
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1159316
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1159445
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1159574
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1159750
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1159937
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1160041
otrue`0`x`()->_$`cPropositionalLogic``1160118
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1160160
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1160279
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1160365
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1160454
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1160584
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1160741
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1160887
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1161081
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1161341
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1161591
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1161943
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1162292
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1162430
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1162574
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1162791
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1163003
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1163081
otubeRadius`1`x`(Float)->_$`dDrawOption``1163172
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1163318
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1163530
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1163617
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1163927
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1164023
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``1164340
otypeList`2`x`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1164417
otypeLists`1`x`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1164512
otype`1`x`(_$)->Syntax`dElaboratedExpression``1164599
ounary?`1`x`(_$)->Boolean`dBasicOperator``1164688
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1164742
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1164793
ounderscore`0`x`()->_$`dCharacter``1165007
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1165067
ouniform01`0`n`()->Float`pRandomFloatDistributions``1165129
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1165169
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1165208
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1165247
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)``1165288
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1165372
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1165440
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1165637
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1165834
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``1165961
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``1166053
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``1166124
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1166432
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1166633
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1166675
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1166820
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1166914
ounit`1`x`(List(Float))->_$`dDrawOption``1167026
ounit`1`x`(_$)->R`dFactored(R)``1167177
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1167244
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1167340
ounits`1`n`(_$)->List(Float)`dGraphImage``1167458
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1167629
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1167830
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1168107
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1168355
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1168616
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1168730
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1168886
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1169042
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1169226
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1169485
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1169651
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1169751
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1169917
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1170023
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1170137
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1170933
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1171200
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1171302
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1171404
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1171570
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1171663
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1171867
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1172009
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1172057
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1172096
ounknownEndian`0`n`()->_$`dByteOrder``1172192
ounknown`0`n`()->_$`dKleeneTrivalentLogic``1172243
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1172275
ounparse`1`n`(_$)->String`dInputForm``1172434
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1172599
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1173043
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1173512
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1174057
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1174180
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``1174307
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1174435
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)``1174666
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1174701
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1174736
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1174863
oupperBound`1`x`(_$)->Maybe(SpadAst)`dStepAst``1175041
oupperCase!`1`x`(_$)->_$`cStringAggregate``1175215
oupperCase?`1`x`(_$)->Boolean`dCharacter``1175330
oupperCase`0`x`()->_$`dCharacterClass``1175441
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1175565
oupperCase`1`x`(_$)->_$`dCharacter``1175646
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1175815
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1175937
ouseNagFunctions`0`x`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1176127
ouseNagFunctions`1`x`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1176260
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1176467
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1176639
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1176859
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1176994
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1177070
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1177223
ovalue`1`x`(_$)->Integer`dOrdSetInts``1177294
ovalue`1`x`(_$)->SExpression`dProperty``1177362
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1177420
ovalue`1`x`(_$)->String`dQueryEquation``1177483
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1177581
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1177849
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1178108
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1178276
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1178486
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1178754
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1179013
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1179182
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1179392
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1179460
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1179544
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1179635
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1179726
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1179830
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1179921
ovarList`2`x`(Expression(DoubleFloat),NonNegativeInteger)->List(Symbol)`pe04AgentsPackage``1180002
ovarList`2`x`(Symbol,NonNegativeInteger)->List(Symbol)`pd03AgentsPackage``1180116
ovariable?`1`x`(_$)->Boolean`dElaboratedExpression``1180159
ovariable`0`n`()->Symbol`dVariable(sym)``1180228
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1180272
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1180345
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1180462
ovariable`1`x`(_$)->Symbol`dQueryEquation``1180561
ovariable`1`x`(_$)->Symbol`dRangeBinding(S,T)``1180664
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1180853
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1180969
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1181068
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1181157
ovariables`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->List(Symbol)`pe04AgentsPackage``1181273
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1181360
ovariables`1`x`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1181438
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1181513
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``1181611
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1181721
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1181858
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1182200
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1182315
ovconcat`1`n`(List(_$))->_$`dOutputForm``1182401
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1182478
ovector`1`x`(List(R))->_$`dVector(R)``1182558
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1182622
ovedf2vef`1`x`(Vector(Expression(DoubleFloat)))->Vector(Expression(Float))`pExpertSystemToolsPackage``1182824
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``1182936
overticalTab`0`x`()->_$`dCharacter``1183164
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1183215
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1183286
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1183406
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1183563
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1183681
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1183836
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1183930
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1184065
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1184273
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1184503
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1184582
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1184687
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1184784
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1184922
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1185045
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1185177
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1185343
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1185424
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1185536
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1185802
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1186171
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1186393
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1186650
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1187000
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1187397
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1187892
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1188387
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1188534
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1188685
ovoidMode`0`n`()->_$`dInternalTypeForm``1188727
ovoid`0`x`()->_$`dVoid``1188784
ovspace`1`n`(Integer)->_$`dOutputForm``1188829
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1188893
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1189062
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1189336
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1189468
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1189539
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1189606
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1189677
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1189914
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1189954
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1190078
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1190311
owhileLoop`2`x`(Switch,_$)->_$`dFortranCode``1190446
owhitePoint`0`x`()->_$`cRGBColorSpace(T)``1190508
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1190589
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1190653
owholePart`1`x`(_$)->R`dPartialFraction(R)``1190840
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1190925
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1191078
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1191231
owidth`0`n`()->Integer`dOutputForm``1191322
owidth`1`n`(_$)->Integer`dOutputForm``1191396
owidth`1`x`(_$)->R`cIntervalCategory(R)``1191468
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1191538
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1191694
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1191898
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1192112
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1192334
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1192498
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1192611
owriteByte!`2`x`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``1192787
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``1192947
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`x`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``1193076
owriteLine!`1`x`(_$)->String`dTextFile``1193244
owriteLine!`2`x`(_$,String)->String`dTextFile``1193421
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`x`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1193581
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1193759
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1193995
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1194234
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1194533
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1194806
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1195108
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1195384
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1195518
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)``1195658
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1195778
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1196032
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1196139
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1196246
oxor`2`x`(_$,_$)->_$`cBitAggregate``1196304
oxor`2`x`(_$,_$)->_$`dBoolean``1196416
oxor`2`x`(_$,_$)->_$`dSingleInteger``1196512
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1196622
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1196877
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1196995
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1197102
oyellow`0`x`()->_$`dColor``1197209
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1197288
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1197414
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1197535
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1197672
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1197943
ozag`2`n`(_$,_$)->_$`dOutputForm``1198050
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`(_$)->Boolean`cAbelianMonoid``1198148
ozero?`1`x`(_$)->Boolean`dArity``1198204
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1198278
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1198352
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1198451
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1198668
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1198836
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1198923
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1199008
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1199180
ozeroMatrix`3`x`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1199359
ozeroMatrix`3`x`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1199427
ozeroMatrix`3`x`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1199521
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1199639
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1199870
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1200045
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1200276
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1200482
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1200697
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1201033
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1201233
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1201585
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1201959
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1202100
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1202614
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1203123
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1203449
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1203819
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1203958
ozeroSquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1204097
ozeroVector`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1204149
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1204195
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1204259
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1204328
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1204667
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1204950
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1205230
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1205544
ozerosOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1205858
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1206023
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1206061
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1206219
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1206259
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1206301
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1206589
o~=`2`x`(_$,_$)->Boolean`cBasicType``1206645
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(S)->S`xBooleanLogic&(S)``0
o~`1`x`(_$)->_$`cLogic``1206710
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1206773
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1206869
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1206953
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1207027
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`1207062
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1207151
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1207265
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1207380
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`1207591
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1207801
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1207888
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1208016
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1208140
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1208258
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1208327
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`1208464
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1208580
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1208694
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1209299
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1209335
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1209442
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1209506
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1209603
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1209708
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1210154
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1210243
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1210308
pCommonOperators`0`n`()->etc``COMMONOP`1210472
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1210678
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1210794
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1211026
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1211123
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1211249
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1211326
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1211398
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`1212168
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1212302
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1212390
pCycleIndicators`0`x`()->etc``CYCLES`1212648
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1212685
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1212753
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1212789
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1212930
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1212966
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1213699
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1214017
pDisplayPackage`0`x`()->etc``DISPLAY`1214137
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1214242
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1214535
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1214636
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1214739
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1215157
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1215193
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1215229
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1215583
pElementaryFunctionLODESolver`3`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1215713
pElementaryFunctionODESolver`2`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1215893
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1216065
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1216180
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1216473
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1216535
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1216698
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1216904
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1217112
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1217189
pErrorFunctions`0`x`()->etc``ERROR`1217265
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1219246
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1220121
pExpertSystemContinuityPackage1`2`x`(DoubleFloat,DoubleFloat)->etc`(A,B)`ESCONT1`1220294
pExpertSystemContinuityPackage`0`x`()->etc``ESCONT`1220383
pExpertSystemToolsPackage1`1`x`(OrderedRing)->etc`(R1)`ESTOOLS1`1220529
pExpertSystemToolsPackage2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`ESTOOLS2`1220687
pExpertSystemToolsPackage`0`x`()->etc``ESTOOLS`1220845
pExpressionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1220974
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1221070
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1221251
pExpressionSpaceODESolver`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1221538
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1221588
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1221712
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1221802
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1222014
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1222319
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1222432
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1222706
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1222763
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`1222925
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`1223070
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1223197
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1223366
pFiniteFieldPolynomialPackage2`2`x`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1223600
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1223869
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1224036
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1224137
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1224449
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1224538
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1224842
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1225201
pFortranCodePackage1`0`x`()->etc``FCPAK1`1225521
pFortranOutputStackPackage`0`x`()->etc``FOP`1226145
pFortranPackage`0`x`()->etc``FORT`1226192
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1226258
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`1226419
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1226602
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`1226869
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1226929
pFunctionSpaceAssertions`2`x`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1227332
pFunctionSpaceAttachPredicates`3`x`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1227450
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1227568
pFunctionSpaceFunctions2`4`x`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1227697
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1227852
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1227971
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1228079
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1228284
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1228331
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`1228422
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1228847
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1229035
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1229099
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1229207
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1229288
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1229494
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1229568
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1229638
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1230219
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1230438
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1230576
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1230652
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1230815
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1230964
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`1231336
pGraphicsDefaults`0`x`()->etc``GRDEF`1231373
pGrayCode`0`n`()->etc``GRAY`1231467
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1231608
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1232663
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1232817
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1233872
pHallBasis`0`x`()->etc``HB`1234150
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1234710
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1234858
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1235168
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1235242
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1235362
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1235469
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1235573
pInfinity`0`x`()->etc``INFINITY`1235635
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1235746
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1235879
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1236048
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`1236208
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`1236472
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1236742
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1236882
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1237053
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1237653
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1237718
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1237759
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1237936
pIntegerBits`0`n`()->etc``INTBIT`1237979
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1238045
pIntegerLinearDependence`1`x`(Join(Ring,etc))->etc`(R)`ZLINDEP`1238417
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1238470
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1238551
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1238751
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1238866
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1238991
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1239173
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1239339
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1239456
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1239622
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1239929
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1240131
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1240310
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`1240383
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1240933
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1240993
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1241551
pKernelFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1241695
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1241759
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1241911
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`1241971
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1242843
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1242981
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1243847
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1244078
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1244113
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1244284
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1244418
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1244674
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`1244959
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1245034
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1245128
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1245204
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1245352
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1245502
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`1245919
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`1246045
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1246079
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1246464
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1246855
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1247091
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1247152
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1247380
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1247444
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1247580
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1247641
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1247677
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1247713
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1247749
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1247785
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1247821
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`1247857
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1248010
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1248163
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1248270
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1248322
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1248482
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1248712
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1248889
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1249021
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1249068
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1249335
pMultiVariableCalculusFunctions`4`x`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:Join(FiniteLinearAggregate(S),etc))->etc`(S,F,FLAF,FLAS)`MCALCFN`1249416
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`1249702
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1249759
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1249922
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1250188
pNAGLinkSupportPackage`0`x`()->etc``NAGSP`1250581
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1250641
pNagEigenPackage`0`x`()->etc``NAGF02`1250918
pNagFittingPackage`0`x`()->etc``NAGE02`1251225
pNagIntegrationPackage`0`x`()->etc``NAGD01`1252683
pNagInterpolationPackage`0`x`()->etc``NAGE01`1252914
pNagLapack`0`x`()->etc``NAGF07`1253448
pNagLinearEquationSolvingPackage`0`x`()->etc``NAGF04`1253652
pNagMatrixOperationsPackage`0`x`()->etc``NAGF01`1254060
pNagOptimisationPackage`0`x`()->etc``NAGE04`1254230
pNagOrdinaryDifferentialEquationsPackage`0`x`()->etc``NAGD02`1254809
pNagPartialDifferentialEquationsPackage`0`x`()->etc``NAGD03`1255380
pNagPolynomialRootsPackage`0`x`()->etc``NAGC02`1255511
pNagRootFindingPackage`0`x`()->etc``NAGC05`1255673
pNagSeriesSummationPackage`0`x`()->etc``NAGC06`1255940
pNagSpecialFunctionsPackage`0`x`()->etc``NAGS`1256181
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1256334
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1256659
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1256970
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1257123
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1257356
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1257529
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1257645
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`1257679
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1258440
pNumberFormats`0`n`()->etc``NUMFMT`1258687
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1258839
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1258904
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1259175
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1259313
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1259547
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1259759
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1259859
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1264474
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1267889
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1268055
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1268120
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1268300
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1268458
pOpenMathPackage`0`x`()->etc``OMPKG`1268562
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1268668
pOperationsQuery`0`x`()->etc``OPQUERY`1269036
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1269117
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1269219
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1269348
pOutputPackage`0`x`()->etc``OUT`1269424
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1269480
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1270023
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1270389
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1270746
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1270814
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1270854
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1270888
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1270922
pParser`0`x`()->etc``PARSER`1270956
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1271076
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1271354
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1271518
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1271545
pPatternMatchAssertions`0`x`()->etc``PMASS`1271576
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1271694
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1271770
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1271839
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1272034
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1272102
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`1272168
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1272240
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1272317
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1272387
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1272434
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1272502
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1272562
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1272633
pPermutationGroupExamples`0`x`()->etc``PGE`1272729
pPiCoercions`1`x`(IntegralDomain)->etc`(R)`PICOERCE`1273127
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1273318
pPlotTools`0`n`()->etc``PLOTTOOL`1273450
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1273493
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1273527
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1273561
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1273662
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`1273792
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1273893
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1273974
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1274687
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`1274807
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`1275104
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1275227
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1275261
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1275295
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1275588
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1275803
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`1275946
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1275999
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1276052
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`1276146
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1276221
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1276510
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1276749
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1277172
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1277404
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1277649
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1277826
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1277978
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1278076
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1278306
pPrintPackage`0`x`()->etc``PRINT`1278371
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1278435
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1278551
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1279593
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`1279762
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1279855
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1279891
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`1281145
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1281884
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1282081
pRadicalEigenPackage`0`x`()->etc``REP`1282189
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1282470
pRadixUtilities`0`x`()->etc``RADUTIL`1282642
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1282708
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1282757
pRandomNumberSource`0`x`()->etc``RANDSRC`1282807
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1282998
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1283124
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1283245
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1283531
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1283613
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1283666
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1283738
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1283782
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1283879
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1283960
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1284022
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1284172
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1284286
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1284350
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1284786
pRealSolvePackage`0`n`()->etc``REALSOLV`1284887
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1285004
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1285309
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`1285613
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`1285787
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`1285888
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1286037
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`1286187
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`1287649
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1288422
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1288476
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1288530
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1289039
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1289608
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1289706
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1289857
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1289991
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1290093
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1290170
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1290316
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1290423
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1290529
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1290577
pSpadParser`0`x`()->etc``SPADPRSR`1291139
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1291260
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1291585
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`1291700
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`1292543
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`1293936
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1294821
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1295120
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1295181
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1295243
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1295307
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1295486
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1295631
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1295836
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1295999
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1296186
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1296348
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1296618
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1296822
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1296889
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1297095
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1297219
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1297418
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1297849
pTemplateUtilities`0`x`()->etc``TEMUTL`1297902
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1297967
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1298111
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1298156
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1298275
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1298390
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1298518
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1298613
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1298687
pTransSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1299245
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1300095
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1300146
pTranscendentalManipulations`2`x`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1300237
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1300362
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1300531
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1300687
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1301162
pTubePlotTools`0`n`()->etc``TUBETOOL`1301313
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1301389
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1301502
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1301669
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1301798
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1301975
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1302152
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1302295
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1302480
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1302665
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1302811
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1303154
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1303437
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1304112
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1304262
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1304390
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1304566
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1304717
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1304794
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1304860
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1305093
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1305398
pViewportPackage`0`n`()->etc``VIEW`1305486
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1305612
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1306176
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1306538
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1306708
pd01AgentsPackage`0`x`()->etc``D01AGNT`1308030
pd01WeightsPackage`0`x`()->etc``D01WGTS`1308419
pd02AgentsPackage`0`x`()->etc``D02AGNT`1308728
pd03AgentsPackage`0`x`()->etc``D03AGNT`0
pe04AgentsPackage`0`x`()->etc``E04AGNT`0
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1308852
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1308980
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1309101
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1309678
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1309831
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1309890
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1310410
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1310503
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1310549
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1310604
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1310661
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1310889
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1311007
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1311147
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1311362
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1311461
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1311518
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1311954
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1312041
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1312109
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1312429
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1312559
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1313196
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1314522
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1314657
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1314733
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1317115
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1317272
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1317441
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1317487
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1317848
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1318238
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1318388
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1318465
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1318872
xField&`1`n`(Field)->etc`(S)`FIELD-`1318960
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1319182
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1319424
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1319595
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-`1321110
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1321326
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1321386
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1321630
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1321752
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1321903
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1322106
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1323133
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1323246
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1323524
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1323646
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1323877
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1324309
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1324392
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1324471
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1324771
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1325111
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1325654
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1325766
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1326180
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1326240
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1326499
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1326817
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1326876
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1326942
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1327271
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1327380
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1327694
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1327759
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1327924
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1328553
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1328819
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1329007
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1329103
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1329719
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1329786
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1329892
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1330333
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1330443
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1330569
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1330744
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1330883
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1331191
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1331413
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1332220
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1332431
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1332531
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1332632
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1332689
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1332749
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:SetCategory)->etc`(A,S)`PDSPC-`1333045
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1333256
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1333426
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-`1333729
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1334343
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1334468
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1334606
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1334698
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1334769
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1334864
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1335159
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-`1335270
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1335499
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1335951
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-`1336430
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1339260
xRing&`1`n`(Ring)->etc`(S)`RING-`1339435
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1339533
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1339663
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1339989
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-`1340261
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1340517
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1340888
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1340992
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1341113
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-`1341174
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1342598
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1342647
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1343202
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1343740
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1343913
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1344207
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1344355
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1344702
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1344999
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1345382
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1345481
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1345901
