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dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`63758
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`63848
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`63906
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`64169
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`64279
dComplexDoubleFloatMatrix`0`n`()->Join(MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector),etc)``CDFMAT`64314
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`64534
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`64753
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`64958
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`65551
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`65607
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`65714
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`65978
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`66069
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`66356
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`66402
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`66668
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`66754
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`66853
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`67462
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`67542
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`67645
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`67909
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`68272
dDoubleFloatMatrix`0`n`()->Join(MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector),etc)``DFMAT`68417
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`68629
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`68840
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`70690
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`70784
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`71203
dEnumeration`1`x`special`(a,b,...,c)`ENUM`71622
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`71778
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`71943
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`72183
dExit`0`x`()->SetCategory``EXIT`72383
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`72670
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`72963
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`73744
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`73792
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`74636
dFileName`0`x`()->FileNameCategory``FNAME`75481
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`75550
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`75684
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`75913
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`76521
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`77159
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`77816
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`78090
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`78389
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`78907
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`79422
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`79919
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`80118
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`81134
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`84916
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`85022
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`0
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`85181
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`85351
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`85491
dFortranType`0`n`()->Join(SetCategory,etc)``FT`85534
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`85642
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`85851
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`86047
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`86119
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`86164
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`86214
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`86465
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`86730
dFreeModule`2`n`(Join(SemiRng,etc),S:Comparable)->Join(BiModule(R,R),etc)`(R,S)`FM`86985
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`87795
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`88064
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`88204
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`88565
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`88610
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`88659
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`89220
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`89253
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`89289
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`89607
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`89725
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`90210
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`0
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`90510
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`90676
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`90787
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`90899
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`90990
dHashState`0`n`()->etc``HASHSTAT`91074
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`91141
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`91300
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`91367
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`91462
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`91800
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`92209
dILogic`0`n`()->Join(Logic,etc)``ILOGIC`92563
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`92619
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`92714
dIndexedDirectProductObject`2`n`(SetCategory,S:Comparable)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`92812
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`93175
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`93221
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`94314
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`94455
dIndexedMatrix`3`n`(Join(SemiRng,etc),mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`94951
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`95422
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`95530
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`95577
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`96156
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`96274
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`96389
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`96438
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`96666
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`96722
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`96879
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`96995
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`97198
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`97325
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`97433
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`97809
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`97961
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`98054
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`98132
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`98638
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`98954
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`99288
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`99442
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`99599
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`99827
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`100090
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`100260
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`100873
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`101100
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`102038
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`102210
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`102312
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`102409
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`102465
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`102625
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`102690
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`103058
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`103250
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`103605
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`103851
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`104132
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`104388
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`104559
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`104946
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`105231
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`105371
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`105533
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`105843
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`106663
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`106765
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`106867
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`106962
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`107161
dMapping`1`x`special`(T,S)`MAPPING`107253
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`107493
dMatrix`1`x`(Join(SemiRng,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`107588
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`107689
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`0
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`0
dModularField`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Field,etc)`(R,Mod,reduction,merge,exactQuo)`MODFIELD`107722
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`107944
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`108154
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`108187
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`108236
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`108359
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`109322
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`109371
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`109418
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`109740
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`109993
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`110179
dNone`0`n`()->SetCategory``NONE`110275
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`110492
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`111015
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`111074
dOpenMathConnection`0`x`()->etc``OMCONN`111178
dOpenMathDevice`0`x`()->etc``OMDEV`111315
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`111507
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`111581
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`111747
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`111812
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`111861
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`112099
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`112392
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`112507
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(OrderedMonoid,etc)`(S)`OFMONOID`112837
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`113459
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`113506
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`113812
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`114500
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`114621
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`114849
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`115111
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`115306
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`115379
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`115564
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`115632
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`115725
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`115816
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`115900
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`116175
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`117029
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`117274
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`117510
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`117731
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`117778
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`117920
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`118389
dPi`0`x`()->Join(Field,etc)``HACKPI`118882
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`119193
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`119457
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`119793
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`120158
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`120493
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`120549
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`121060
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`121424
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`121713
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`121802
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`121996
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`122141
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`122405
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`122468
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`124187
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`124286
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`124339
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`124383
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`124448
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`124593
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`124660
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`124897
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`125032
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`125123
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`125345
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`125598
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`125800
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`125996
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`126171
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`126267
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`126373
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`126414
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`126483
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`126620
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`128259
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`128370
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`128466
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`128552
dSKICombinators`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`SKICOMB`128620
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`128676
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`128999
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`129351
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`129559
dScriptFormulaFormat`0`x`()->Join(SetCategory,etc)``FORMULA`129647
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`130348
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`130503
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`130576
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`130685
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`130942
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`131617
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`131731
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`132825
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`0
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`133404
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`133650
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`133721
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`133809
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`134004
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`134110
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`134519
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`134867
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`135159
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`135451
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`135569
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`136135
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`136509
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`137086
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`137248
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`137831
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`138305
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`138928
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`139918
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`140193
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`140339
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`140383
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`140561
dString`0`x`()->Join(StringCategory,etc)``STRING`140672
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`140719
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`140785
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`140817
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`140864
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`140976
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`141046
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`141080
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`141130
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`141354
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`0
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`0
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`0
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`0
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`141497
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`141628
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`141764
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`142030
dTexmacsFormat`0`x`()->Join(SetCategory,etc)``TMFORM`142782
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`142879
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`143017
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`143167
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`143250
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`143317
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`143499
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`143661
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`143808
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`143938
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`144056
dTyped`0`n`()->Join(VarCat,etc)``TYPED`144122
dU16Matrix`0`n`()->Join(MatrixCategory(Integer,U16Vector,U16Vector),etc)``U16MAT`144180
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`144368
dU32Matrix`0`n`()->Join(MatrixCategory(Integer,U32Vector,U32Vector),etc)``U32MAT`144563
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`144751
dU8Matrix`0`n`()->Join(MatrixCategory(Integer,U8Vector,U8Vector),etc)``U8MAT`144946
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`145133
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`145327
dUnion`1`x`special`(A,B,...,C)`UNION`145376
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`145525
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`145852
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`146405
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`146620
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`146951
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`147480
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`148044
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`148219
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`148689
dUntyped`0`n`()->Join(VarCat,etc)``UNTYPED`148806
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`149395
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`149434
dVectorModularReconstructor`0`n`()->etc``VECREC1`149846
dVectorSpaceBasis`1`n`(Field)->etc`(R)`VSBASIS`150400
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`150740
dVoid`0`x`()->etc``VOID`150867
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`151091
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`151611
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`151873
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`152581
dXHashTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`152785
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`152895
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`153179
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`153480
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`153747
dXmlAttribute`0`n`()->etc``XMLAT`153957
dXmlElement`0`n`()->etc``XMLEL`154123
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
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o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``170332
o<`2`x`(_$,_$)->Boolean`cPartialOrder``170386
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``170426
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``170580
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`cVarCat``170683
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``170795
o=`2`n`(_$,_$)->Boolean`dILogic``170831
o=`2`n`(_$,_$)->Boolean`dLambda(UT)``170977
o=`2`n`(_$,_$)->Boolean`dReference(S)``171270
o=`2`n`(_$,_$)->Boolean`dSKICombinators(UT)``171329
o=`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``171598
o=`2`n`(_$,_$)->_$`dOutputForm``171656
o=`2`x`(S,S)->_$`dEquation(S)``171710
o=`2`x`(_$,_$)->Boolean`cBasicType``171748
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``171809
o>=`2`x`(_$,_$)->Boolean`cPartialOrder``171864
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(_$,_$)->Boolean`cJetBundleCategory``171917
o>`2`n`(_$,_$)->_$`dOutputForm``172019
o>`2`x`(_$,_$)->Boolean`cPartialOrder``172073
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``172116
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``172211
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``172280
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``172313
oAnd`2`x`(_$,_$)->_$`dSingleInteger``172405
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``172517
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``173117
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``173215
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``173307
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``173392
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``173432
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``173705
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``173759
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``174032
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``174086
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``174154
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``174268
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``174327
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``174386
oChi`1`x`(_$)->_$`cLiouvillianFunctionCategory``174445
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``174576
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``174630
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``174684
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``174738
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``174863
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->_$`dPartialDifferentialOperator(R,Var)``174954
oD`1`n`(Var)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``175059
oD`1`x`(_$)->_$`cDifferentialRing``175160
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``175303
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundle(IVar,DVar)``175357
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundleSymAna(JB1,xi,eta)``175487
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``175536
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``175631
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``175761
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``175832
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``175903
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``175996
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``176125
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``176290
oDelta`1`n`(Symbol)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`176438
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``176543
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``176766
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``177080
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``177172
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``177231
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``177290
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``177349
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``177477
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``177535
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``177593
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``177630
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``177716
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``177799
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`177839
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`177926
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``178020
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``178111
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``178242
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``178332
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``178408
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``178570
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``178621
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``178783
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``178834
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``178885
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``178976
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``179037
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``179603
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``179645
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``179686
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``179765
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``179831
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``179883
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``180297
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``180488
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``180587
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``180793
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``181225
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``181367
oI`0`n`()->_$`dSKICombinators(UT)``181812
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``181851
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`181993
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`182248
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`182503
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`182785
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`182891
oK`0`n`()->_$`dSKICombinators(UT)``182997
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``183036
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``183127
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``183152
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``183177
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``183201
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``183316
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``183406
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``183645
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``183730
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``183934
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``183993
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`184064
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`184197
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``184314
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``184375
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``184511
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``184589
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``184673
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``184885
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``184974
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``185057
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``185191
oMPtoMPT`4`n`(Polynomial(Integer),Symbol,List(Symbol),MD)->MPT`cModularAlgebraicGcdOperations(MPT,MD)``185315
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``185397
oNOT`1`n`(_$)->_$`dSwitch``185484
oNot`1`n`(_$)->_$`dIndexedBits(mn)``185571
oNot`1`x`(_$)->_$`dSingleInteger``185645
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``185738
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``185833
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``185916
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``185995
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``186087
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``186180
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``186203
oOMclose`1`x`(_$)->Void`dOpenMathDevice``186228
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``186305
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``186336
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``186368
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``186394
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``186476
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``186565
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``186760
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``186843
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``186919
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``186998
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``187073
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``187158
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``187230
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``187308
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``187389
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``187466
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``187553
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``187627
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``187701
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``187777
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``187849
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``187909
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``187974
oOMgetString`1`x`(_$)->String`dOpenMathDevice``188048
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``188110
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``188172
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``188251
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``188317
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``188387
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``188454
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``188478
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``188725
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``188852
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``188927
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``189005
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``189079
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``189163
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``189234
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``189311
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``189391
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oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``189553
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``189626
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``189699
oOMputError`1`x`(_$)->Void`dOpenMathDevice``189774
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``189845
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``189920
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``189999
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``190072
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``190149
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``190257
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``190338
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``190428
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``190517
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``190607
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``190725
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``190814
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``190992
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``191131
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``191237
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``191383
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``191548
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``191656
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``191789
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``192017
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``192249
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``192342
oOr`2`x`(_$,_$)->_$`dSingleInteger``192432
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oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleCategory``192542
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
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oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->_$`cJetBundleCategory``192651
oP`1`n`(NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
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oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
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oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
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oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
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oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``193352
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`193465
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`193578
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``193691
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oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``194288
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPr`2`n`(PositiveInteger,List(PositiveInteger))->_$`cJetBundleCategory``194383
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``194479
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`194542
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``194603
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``194808
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``195109
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``195196
oSEGMENT`1`n`(_$)->_$`dOutputForm``195431
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``195492
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``195577
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``195643
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``195724
oSPDEnocancel1`4`n`(UP,UP,Integer,(UP)->UP)->Record(ans:UP,nosol:Boolean)`pTranscendentalRischDE(F,UP)``195884
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``196302
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``196446
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``196562
oS`0`n`()->_$`dSKICombinators(UT)``196658
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``196697
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``196781
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``196908
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``197101
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``197182
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``197239
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``197296
oShi`1`x`(_$)->_$`cLiouvillianFunctionCategory``197353
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``197482
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``197714
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``198029
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``198081
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``198133
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``198185
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``198308
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``198408
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``198633
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`198758
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``199060
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``199167
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``199461
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``199522
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``199580
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`0`n`()->_$`cJetBundleCategory``199682
oU`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->_$`cJetBundleCategory``199738
oU`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``199809
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``199851
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``200062
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``200087
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``200112
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oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`0`n`()->_$`cJetBundleCategory``200177
oX`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
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oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->_$`cJetBundleCategory``200236
oX`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``200310
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``200378
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``200541
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``200620
o\/`2`x`(_$,_$)->_$`dSingleInteger``200735
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o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``200978
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oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``206813
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``206887
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``206961
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``207037
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``207115
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``207176
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``207267
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``207352
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``207447
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``207542
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``207634
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``207728
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``207801
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``207890
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``207962
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``208035
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``208108
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``208183
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``208260
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``208320
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``208411
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``208495
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``208589
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``208683
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``208774
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``208867
oadaptive3D?`0`n`()->Boolean`dPlot3D``208939
oadaptive?`0`n`()->Boolean`dPlot``209015
oadaptive`0`x`()->Boolean`pGraphicsDefaults``209088
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``209166
oadaptive`1`x`(Boolean)->_$`dDrawOption``209275
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``209456
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(_$,String,NonNegativeInteger,NonNegativeInteger)->_$`cFiniteGraph(S)``209667
oaddArrow!`4`n`(_$,String,S,S)->_$`cFiniteGraph(S)``209877
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->_$`cFiniteGraph(S)``210061
oaddArrows2Din2D`5`n`(_$,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``210322
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``210465
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``210613
oaddChild!`2`n`(_$,_$)->Void`dScene(PT)``210767
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``210862
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``211241
oaddNode!`3`n`(_$,String,Scene(PT))->_$`dSceneNamedPoints(PT)``211483
oaddObject!`2`n`(_$,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->_$`cFiniteGraph(S)``211544
oaddObject!`2`n`(_$,S)->_$`cFiniteGraph(S)``211638
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``211850
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``211979
oaddPlot1Din2Dparametric`4`n`(_$,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212108
oaddPlot1Din3Dparametric`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212259
oaddPlot1Din3Dparametric`4`n`(_$,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212412
oaddPlot2Din3D`5`n`(_$,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212563
oaddPlot2Din3Dparametric`5`n`(_$,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212698
oaddPlot2Din3Dparametric`5`n`(_$,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``212853
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``213008
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``213188
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``213492
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``213654
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``214447
oaddPoints!`3`n`(_$,String,_$)->_$`dSceneNamedPoints(PT)``215208
oaddSceneArrow`6`n`(_$,String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``215273
oaddSceneArrow`7`n`(_$,_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``215415
oaddSceneArrows`4`n`(_$,List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``215570
oaddSceneBox`2`n`(_$,DoubleFloat)->_$`dScene(PT)``215700
oaddSceneClip`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``215808
oaddSceneClip`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``215933
oaddSceneDef`3`n`(_$,String,_$)->_$`dScene(PT)``216041
oaddSceneGraph`5`n`(_$,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``216155
oaddSceneGrid`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``216291
oaddSceneGrid`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``216416
oaddSceneGrid`3`n`(_$,DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``216524
oaddSceneGrid`3`n`(_$,DoubleFloat,SBoundary(PT))->_$`dScene(PT)``216649
oaddSceneGroup`1`n`(_$)->_$`dScene(PT)``216769
oaddSceneIFS`2`n`(_$,SceneIFS(PT))->_$`dScene(PT)``216873
oaddSceneIFS`3`n`(_$,List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``216980
oaddSceneLine`2`n`(_$,List(PT))->_$`dScene(PT)``217094
oaddSceneLine`4`n`(_$,_$,_$,DoubleFloat)->_$`dScene(PT)``217204
oaddSceneLines`2`n`(_$,List(List(PT)))->_$`dScene(PT)``217331
oaddSceneMaterial`2`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``217443
oaddSceneMaterial`4`n`(_$,DoubleFloat,String,String)->_$`dScene(PT)``217560
oaddSceneNamedPoints`2`n`(_$,SceneNamedPoints(PT))->_$`dScene(PT)``217697
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``217819
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``217944
oaddSceneRuler`4`n`(_$,Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``218075
oaddSceneRuler`4`n`(_$,Symbol,PT,SBoundary(PT))->_$`dScene(PT)``218200
oaddSceneShape`2`n`(_$,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``218329
oaddSceneShape`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``218442
oaddSceneText`2`n`(_$,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``218555
oaddSceneText`4`n`(_$,List(String),NonNegativeInteger,PT)->_$`dScene(PT)``218665
oaddSceneText`4`n`(_$,String,NonNegativeInteger,PT)->_$`dScene(PT)``218786
oaddSceneTransform`2`n`(_$,STransform(PT))->_$`dScene(PT)``218907
oaddSceneUse`2`n`(_$,String)->_$`dScene(PT)``219027
oaddWArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,W)->_$`dWeightedGraph(S,W)``219134
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``219398
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``219574
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``219639
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``219926
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``220031
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(_$)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``220116
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(_$)->_$`dPartialDifferentialOperator(R,Var)``220509
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`220576
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``220759
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`220819
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`220892
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``221011
oairyAiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``221110
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``221199
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``221279
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``221456
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``221633
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``221699
oairyBiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``221798
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``221877
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``221957
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``222134
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``222311
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynom--ial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expre--ssion(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->S--tream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``222377
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integ--er),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariat--ePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Express--ion(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vect--or(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(F--raction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPower--Series(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(N--onNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``222517
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:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``222841
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``223166
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``223243
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``223336
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``223622
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``223740
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``223861
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``224048
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``224301
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``224356
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``224488
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``224619
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``224748
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``224933
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``225029
oallDegrees`1`x`(Boolean)->_$`dGuessOption``225160
oallIndices`1`n`(_$)->List(C)`dSparseEchelonMatrix(C,D)``225412
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``225517
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``225634
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(_$)`cRealClosedField``225751
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``225838
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``225925
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``226012
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``226099
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``226186
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``226273
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``226380
oallSimpleCells`2`n`(ThePols,Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``226540
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``226623
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``226723
oalphabetic?`1`x`(_$)->Boolean`dCharacter``226864
oalphabetic`0`x`()->_$`dCharacterClass``226979
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``227105
oalphanumeric`0`x`()->_$`dCharacterClass``227247
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``227377
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``227953
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``228345
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``228451
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``228701
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``228951
oand`2`n`(_$,_$)->_$`dOutputForm``229050
oand`2`x`(_$,_$)->_$`cBitAggregate``229107
oand`2`x`(_$,_$)->_$`dBoolean``229200
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`229286
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``229395
oangerJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``229455
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(_$,_$)->Boolean`cRng``229516
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``229610
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``229684
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``229879
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``230074
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``230235
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``230396
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``230457
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``230495
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`230567
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``230778
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`230989
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`231200
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`231788
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`232394
oany`2`x`(SExpression,None)->_$`dAny``232694
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``232880
oappendRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``233077
oappend`2`x`(_$,_$)->_$`dList(S)``233170
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``233329
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``233418
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``233477
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``233546
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``233625
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``233714
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``233953
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``234093
oapply_taylor`2`n`(Stream(Coef),_$)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``234156
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``234397
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``234461
oapply`2`n`(_$,Partition)->R`cSequenceCategory(R)``234538
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``234680
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``234948
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``235081
oapply`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``235242
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``235319
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``235437
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``235573
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``235696
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``236009
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``236220
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`236323
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``236458
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``236599
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``236696
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``236826
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`237053
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`237146
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`237286
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`237443
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``238749
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``238804
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``238860
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``238967
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``239097
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``239229
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``239361
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``239438
oargument`1`n`(_$)->List(S)`dKernel(S)``239516
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`239594
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``239676
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``239785
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``239905
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``240712
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``240880
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``241001
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``241053
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``241139
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``241241
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241327
oasec`1`n`(F)->F`pElementaryFunction(R,F)``241416
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)``241486
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``241557
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``241628
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``241701
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``241776
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``241834
oasech`1`n`(F)->F`pElementaryFunction(R,F)``241925
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)``242007
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``242099
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``242191
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``242280
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``242371
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``242441
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``243248
oasin`1`n`(F)->F`pElementaryFunction(R,F)``243337
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)``243405
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``243474
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``243543
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``243614
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``243687
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``243756
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``244118
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``244209
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)``244289
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``244379
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``244469
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``244556
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``244645
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``244713
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``244864
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``244949
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``245034
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``245119
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``245204
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``245289
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``245374
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``245459
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``245544
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``245629
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``245714
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``245799
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``245884
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``245969
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``246054
oassign`2`n`(Symbol,String)->_$`dFortranCode``246139
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``246224
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``246309
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``246394
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``246479
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``246564
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``246649
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``246734
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``246819
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``246904
oassign`2`n`(_$,_$)->_$`dOutputForm``246989
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``247067
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``247241
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``247415
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``247589
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``247763
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``247937
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``248111
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`248270
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``248468
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cEntireRing``248617
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``248748
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``248828
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``248908
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`249257
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``249606
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``249676
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``0
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``249751
oatan`1`n`(F)->F`pElementaryFunction(R,F)``249840
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``249911
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``249983
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``250055
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``250129
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``250205
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``250274
oatan`2`x`(_$,_$)->_$`dDoubleFloat``250693
oatan`2`x`(_$,_$)->_$`dFloat``250780
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``250867
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``250958
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``251041
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``251134
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``251227
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``251317
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``251409
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``251480
oatom?`1`n`(_$)->Boolean`dILogic``251569
oatom?`1`n`(_$)->Boolean`dLambda(UT)``251695
oatom?`1`n`(_$)->Boolean`dSKICombinators(UT)``251848
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``251974
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``252040
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``252133
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)``252948
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``253050
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``253230
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``253330
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduce`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``253762
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``253911
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``254086
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``254175
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``254286
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``254518
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``254769
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``255033
oback`1`x`(_$)->S`cQueueAggregate(S)``255275
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``255423
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``255461
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``255499
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``255631
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``255749
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``255939
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``256104
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``256336
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``256568
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``257151
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``257881
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``258093
obase`0`n`()->PositiveInteger`dMachineFloat``258295
obase`0`x`()->PositiveInteger`cFloatingPointSystem``258346
obase`0`x`()->_$`cIntegerNumberSystem``258436
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``258524
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``258585
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``258647
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``258973
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``259160
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``259421
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``259580
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``259749
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``259873
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``260053
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``260234
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``260416
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``260644
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``260769
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``260950
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``261133
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``261209
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``261272
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``261335
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``261433
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``261527
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``261611
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``261689
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`261780
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``261852
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``262164
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``262271
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``262321
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``262421
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``262565
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``262648
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``262728
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``262814
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``262875
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``262962
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`263049
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``263148
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``263242
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``263566
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``263725
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``263817
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``264032
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``264247
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``264328
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``264420
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``264626
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``264832
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``264904
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``264996
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``265395
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``265795
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``265877
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``265969
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``266381
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``266783
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`266856
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``266992
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`267100
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``267255
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``267646
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``267698
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``267746
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``267864
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``267969
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``268104
obinary`2`n`(_$,List(_$))->_$`dInputForm``268178
obind`1`n`(_$)->_$`dLambda(UT)``268294
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(_$,CommutativeRing)`268385
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``268488
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``268665
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``268710
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``268811
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``269019
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``269219
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``269512
obirth`1`n`(_$)->_$`dSubSpace(n,R)``269754
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``269791
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``269889
obitLength`1`n`(Integer)->Integer`pIntegerBits``269967
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``270048
obits`0`x`()->PositiveInteger`cFloatingPointSystem``270143
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`270208
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``270301
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``270374
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``270472
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``270633
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``270851
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(_$)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``270946
oblockSplit`3`n`(M,List(PositiveInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``271093
oblockSplit`3`n`(M,PositiveInteger,List(PositiveInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``271214
oblockSplit`3`n`(S,List(PositiveInteger),List(PositiveInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(_$,List(PositiveInteger),List(PositiveInteger))->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``271335
oblockSplit`3`x`(_$,PositiveInteger,PositiveInteger)->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``271712
oblock`1`n`(List(_$))->_$`dFortranCode``271961
oblue`0`x`()->_$`dColor``272051
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``272126
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``272210
obooleanConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``272304
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``272420
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``272543
obooleanCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``272696
obooleanCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``272804
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``272910
obottom`1`x`(_$)->S`cDequeueAggregate(S)``272975
oboundAt0`8`n`(List(Kernel(F)),List(Kernel(F)),F,Integer,Integer,Symbol,Kernel(F),(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"))->Integer`pElementaryRischDE(R,F)``273056
oboundInf`9`n`(List(Kernel(F)),List(Kernel(F)),F,Integer,Integer,Integer,Symbol,Kernel(F),(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"))->Integer`pElementaryRischDE(R,F)``273196
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`273348
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``273408
oboundary`2`n`(_$,DoubleFloat)->SBoundary(PT)`dScene(PT)``273627
oboxBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``274526
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``274750
obox`1`x`(List(_$))->_$`cExpressionSpace``274799
obox`1`x`(_$)->_$`cExpressionSpace``275116
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``275353
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``275528
obrace`1`n`(_$)->_$`dOutputForm``275659
obrace`1`x`(List(S))->_$`cSetAggregate(S)``275746
obracket`1`n`(List(_$))->_$`dOutputForm``275931
obracket`1`n`(_$)->_$`dOutputForm``276065
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)``276146
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)``276283
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``276420
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``276496
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``276575
obright`1`x`(Color)->_$`dPalette``276660
obright`1`x`(List(String))->List(String)`pDisplayPackage``276754
obright`1`x`(String)->List(String)`pDisplayPackage``276856
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``276945
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``277105
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``277402
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``277498
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``277635
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``277676
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``277722
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``277990
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`278523
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``278566
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``278614
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``278661
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``278832
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``278976
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279123
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279249
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279392
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279521
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279667
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279795
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`279940
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280066
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280209
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280333
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280474
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280601
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280745
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`280867
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281001
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281126
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281263
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281387
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281523
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281650
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281775
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`281920
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282028
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282150
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282284
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282404
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282536
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`282659
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``282794
ocall`1`n`(String)->_$`dFortranCode``282836
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``282911
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MPT,MD)``283017
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``283123
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``283238
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``283294
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``283402
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``283633
ocartesian`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``283715
ocartesian`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``284185
ocartesian`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``284307
ocartesian`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``284732
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``285157
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``285221
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`285292
oceiling`1`x`(_$)->_$`cRealNumberSystem``285371
ocenter`1`n`(_$)->_$`dOutputForm``285434
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``285496
ocenter`2`n`(_$,Integer)->_$`dOutputForm``285583
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``285666
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``285952
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``286271
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``286478
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``286589
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``286650
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``286807
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``286889
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``286995
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``287101
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``287246
ocharClass`1`x`(List(Character))->_$`dCharacterClass``287386
ocharClass`1`x`(String)->_$`dCharacterClass``287505
ochar`1`x`(Integer)->_$`dCharacter``287626
ochar`1`x`(String)->_$`dCharacter``287766
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``287847
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``287943
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``288052
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``288233
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``288406
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``288566
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``288715
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``288894
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``289094
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``289246
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``289534
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``289664
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``290043
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``290169
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``290861
ocharacteristic`0`x`()->NonNegativeInteger`cRing``290932
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``291140
ocharlierC`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``291204
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``291268
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``291515
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`291633
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``291754
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``291880
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``292172
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``292364
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``292651
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``292838
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``292993
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``293186
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``293447
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``293726
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``293834
ocheckType`1`n`(String)->String`pFortranCodeTools``293956
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``293983
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``294044
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``294309
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``294597
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``294723
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``294759
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``294801
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`294842
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``294923
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``294965
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``295005
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``295085
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``295330
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``295538
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``295598
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``295802
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``295890
ochkLibraryError`0`n`()->Void`pUnittestCount``296010
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``296089
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``296127
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``296536
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``296650
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``296764
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``296884
oclassicalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``296995
oclassicalCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``297115
oclassicalCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``297227
oclearCache`0`n`()->Void`pSortedCache(S)``297332
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``297378
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``297562
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``297746
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``297891
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``298040
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``298112
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``298206
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``298275
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``298355
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``298423
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``298640
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``299009
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``299412
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``299506
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``299671
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``299977
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``300335
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``300610
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``300891
oclip`1`x`(Boolean)->_$`dDrawOption``301175
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``301339
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``301497
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``301812
oclose!`1`x`(_$)->_$`dLibrary``301890
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``301971
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``302449
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``302653
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``302861
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``302903
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``302942
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``303021
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``303151
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``303273
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``303317
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``303361
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``303597
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``303860
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``304206
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``304755
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``305035
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dFunctionGraph(S)``305159
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``305285
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``305326
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``305367
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``305408
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``305463
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``305579
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`305695
ocode`1`n`(_$)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:_$,elseClause:_$),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(_$),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(--Polynomial(Integer)),span:Polynomial(Integer),body:_$),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``305766
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``305863
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``305904
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``306023
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``306160
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``306245
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``306378
ocoefficient`2`n`(_$,JB)->D`dJetDifferential(JB,D)``306426
ocoefficient`2`n`(_$,JB)->D`dJetVectorField(JB,D)``306534
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``306629
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``306705
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``306899
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``307121
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``307280
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``307450
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``307576
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``307705
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``307781
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``307896
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``308011
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``308099
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``308316
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``308476
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``308626
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(D)`dJetDifferential(JB,D)``308716
ocoefficients`1`n`(_$)->List(D)`dJetVectorField(JB,D)``308785
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``308852
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``309193
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``309287
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``309363
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``309426
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``309518
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``309676
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``309739
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`309943
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`310264
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``310585
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``310712
ocoerceL`1`x`(OutputForm)->String`dTexmacsFormat``310841
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``310971
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``311265
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``311398
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``311612
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``311730
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``311850
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``311925
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(DoubleFloat))->_$`dSArgand``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``312012
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``312078
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``312144
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``312210
ocoerce`1`n`(D)->_$`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->_$`dJetLazyFunction(JB,D)``312276
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``312431
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``312474
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312515
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312556
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312597
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312638
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312679
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``312720
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``312760
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``312800
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``312873
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``312913
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``312953
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``312993
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``313033
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``313120
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``313237
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``313354
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``313471
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``313588
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``313705
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``313746
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``313808
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`(JB)->_$`cJetBundleFunctionCategory(JB)``313950
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``314032
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``314758
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``314800
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``314922
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``315044
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``315166
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``315288
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``315410
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``315452
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``315723
ocoerce`1`n`(List(S))->_$`dDirectedGraph(S)``316235
ocoerce`1`n`(List(_$))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``316270
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``316342
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``316419
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``316506
ocoerce`1`n`(PermutationGroup(S))->_$`dDirectedGraph(S)``316605
ocoerce`1`n`(PermutationGroup(S))->_$`dMultifunctionGraph(S)``316652
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``316744
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``316857
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``316986
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Record(index:IS,exponent:E))->_$`dModuleMonomial(IS,E,ff)``317047
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``317085
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``317277
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``317469
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``317661
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``317853
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``318045
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``318085
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``318123
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``318183
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``318252
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``318697
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``319017
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(_$)`dJetBundleLinearFunction(JB,D)``319099
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``319147
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->_$`cSequenceCategory(R)``319219
ocoerce`1`n`(String)->_$`dFortranScalarType``319264
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``319553
ocoerce`1`n`(Symbol)->_$`dJetBundle(IVar,DVar)``319818
ocoerce`1`n`(Symbol)->_$`dJetBundleSymAna(JB1,xi,eta)``319974
ocoerce`1`n`(Symbol)->_$`dSwitch``320048
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``320088
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``320226
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``320364
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``320473
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``320538
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``320578
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``320667
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``320756
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``320858
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``320947
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``321036
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``321138
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``321201
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``321375
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``321452
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``321593
ocoerce`1`n`(_$)->D`dJetLazyFunction(JB,D)``321658
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``321865
ocoerce`1`n`(_$)->Float`dMachineFloat``321905
ocoerce`1`n`(_$)->List(Integer)`dPartition``321975
ocoerce`1`n`(_$)->List(String)`dXmlElement``322043
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``322241
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``322306
ocoerce`1`n`(_$)->Matrix(D)`dSparseEchelonMatrix(C,D)``322405
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``322482
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``322596
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``322709
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``322820
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``322955
ocoerce`1`n`(_$)->OutputForm`cSPointCategory``323106
ocoerce`1`n`(_$)->OutputForm`cVarCat``323120
ocoerce`1`n`(_$)->OutputForm`dFortranCode``323134
ocoerce`1`n`(_$)->OutputForm`dFortranType``323196
ocoerce`1`n`(_$)->OutputForm`dGraphImage``323259
ocoerce`1`n`(_$)->OutputForm`dILogic``323421
ocoerce`1`n`(_$)->OutputForm`dJetDifferentialEquation(JB,D)``323435
ocoerce`1`n`(_$)->OutputForm`dLambda(UT)``323533
ocoerce`1`n`(_$)->OutputForm`dSBoundary(PT)``323547
ocoerce`1`n`(_$)->OutputForm`dSKICombinators(UT)``323623
ocoerce`1`n`(_$)->OutputForm`dSTransform(PT)``323637
ocoerce`1`n`(_$)->OutputForm`dScene(PT)``323669
ocoerce`1`n`(_$)->OutputForm`dSceneIFS(PT)``323913
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``323977
ocoerce`1`n`(_$)->OutputForm`dVectorSpaceBasis(R)``324159
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``324215
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``324273
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``324359
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``324432
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``324470
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``324508
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``324546
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``324584
ocoerce`1`n`(_$)->S`cRetractableFrom(S)``324665
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->String`dFortranScalarType``324731
ocoerce`1`n`(_$)->String`dXmlAttribute``324809
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``324862
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``324930
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``324973
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``325030
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``325103
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``325173
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``325246
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``325314
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``325397
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``325561
ocoerce`1`x`(Character)->_$`cStringAggregate``325719
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``325810
ocoerce`1`x`(Color)->_$`dPalette``325887
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``325991
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``326050
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``326135
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``326292
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``326753
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``327217
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``327284
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``327576
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`327726
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`327788
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``327850
ocoerce`1`x`(Integer)->_$`cRing``327930
ocoerce`1`x`(Integer)->_$`dOrdSetInts``328017
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``328087
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``328180
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``328504
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``328606
ocoerce`1`x`(List(Record(coef:R,monom:M)))->_$`cMonoidRingCategory(R,M)``328696
ocoerce`1`x`(List(S))->_$`dDataList(S)``328790
ocoerce`1`x`(List(S))->_$`dDatabase(S)``328847
ocoerce`1`x`(List(S))->_$`dPermutation(S)``328902
ocoerce`1`x`(List(S))->_$`dStream(S)``329130
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``329192
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``329282
ocoerce`1`x`(OutputForm)->String`dTexmacsFormat``329372
ocoerce`1`x`(OutputForm)->_$`dScriptFormulaFormat``329463
ocoerce`1`x`(OutputForm)->_$`dTexFormat``329560
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``329646
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``329715
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``329841
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`329942
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``330004
ocoerce`1`x`(R)->_$`cAlgebra(R)``330090
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``330173
ocoerce`1`x`(R)->_$`cXAlgebra(R)``330263
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``330306
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``330372
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``330457
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``330560
ocoerce`1`x`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``330641
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``330914
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``331141
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``331476
ocoerce`1`x`(S)->_$`cRetractableTo(S)``331572
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``331632
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``331707
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``331841
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`331913
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``331975
ocoerce`1`x`(String)->_$`cFileNameCategory``332034
ocoerce`1`x`(String)->_$`dIndexCard``332144
ocoerce`1`x`(String)->_$`dSymbol``332300
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``332366
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``332598
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``332661
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``332749
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``332836
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``332913
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``332975
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``333064
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``333147
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``333354
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``333428
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``333503
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``333582
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``333656
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``333758
ocoerce`1`x`(_$)->List(S)`dDataList(S)``333829
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``333894
ocoerce`1`x`(_$)->OutputForm`dVoid``333979
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``334038
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``334122
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``334210
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``334302
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``334388
ocoerce`1`x`(_$)->String`cFileNameCategory``334454
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``334566
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``334604
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``334672
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``334740
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``334782
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``334927
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocolinearity`2`n`(_$,_$)->DoubleFloat`cSPointCategory``335744
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``335966
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``336090
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``336224
ocollect`1`n`(_$)->_$`dJetLazyFunction(JB,D)``336361
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``336454
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``336576
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``336891
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``337074
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``337288
ocolor`1`n`(Point(R))->R`pPointPackage(R)``337524
ocolor`1`x`(Integer)->_$`dColor``337837
ocolumnMatrix`2`n`(M,PositiveInteger)->M`pMatrixManipulation(R,Row,Col,M)``337907
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``338024
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`338242
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`338359
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``338477
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``338606
ocolumns`2`n`(M,List(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``338731
ocolumns`2`n`(M,Segment(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``338833
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``338935
ocomment`1`n`(List(String))->_$`dFortranCode``339030
ocomment`1`n`(String)->_$`dFortranCode``339137
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``339239
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``339363
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``339487
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``339590
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``339697
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``339783
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``339867
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``339951
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``340071
ocommutator`2`x`(_$,_$)->_$`cGroup``340152
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``340226
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``340283
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``340528
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``340578
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``340779
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``340961
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``341228
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``341267
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``341604
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``341797
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``342017
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``342174
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``342337
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``342534
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`342746
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``342877
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``343015
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``343317
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``343710
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``343983
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``344193
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``344362
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``344559
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``344737
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``344976
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``345123
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``345187
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``345336
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``345589
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``345681
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``345916
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``346271
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``346418
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``346565
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``346751
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``346937
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``347033
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``347129
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``347193
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``347257
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`347382
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``347507
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``347604
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``347731
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``347858
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``347974
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``348090
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``348230
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`348370
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`348497
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`348624
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`348751
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`348878
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`349003
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`349130
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`349292
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`349454
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`349616
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`349748
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`349910
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`350072
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`350149
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`350226
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`350303
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`350380
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`350457
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`350534
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``350611
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`350688
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`350800
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`350912
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`351024
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`351136
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`351217
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`351329
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``351441
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``351553
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``351737
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``352053
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``352287
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``352503
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``352732
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``352950
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``353149
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``353284
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``353491
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``353550
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``353887
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``354395
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``354746
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``354987
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``355084
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``355128
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`355336
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`355462
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``355571
ocompound`2`n`(_$,_$)->_$`dSTransform(PT)``355920
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``355978
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``356206
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``356391
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``356560
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``356980
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``357024
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`357114
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`357255
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``357393
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`357500
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``357639
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``357953
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``358092
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``358246
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``358436
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``358598
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``358857
ocond`2`n`(Switch,_$)->_$`dFortranCode``359026
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``359133
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``359259
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`359472
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``359741
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`359812
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``359988
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``360165
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`360342
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``360559
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``360777
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``360859
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``361197
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`361361
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`dPartition``361416
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``361499
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``361572
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``361647
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``361805
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``361884
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``361987
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``362095
oconsRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``362379
ocons`2`n`(R,_$)->_$`cSequenceCategory(R)``362470
ocons`2`x`(S,_$)->_$`dList(S)``362538
ocons`2`x`(S,_$)->_$`dStream(S)``362709
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``362863
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst?`1`n`(_$)->Boolean`cJetBundleFunctionCategory(JB)``362904
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``362978
oconst`1`n`(_$)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``363218
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``363351
oconstant?`1`n`(_$)->Boolean`dPattern(R)``363455
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``363532
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``363630
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``363702
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``364168
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``364213
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``364259
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``364362
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``364508
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``364623
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``364727
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``364953
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``365017
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``365110
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``365274
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``365402
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``365467
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``365794
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``365893
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``366052
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``366154
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``366239
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``366539
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``366594
oconstruct`1`x`(List(S))->_$`cCollection(S)``366689
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``366948
oconstruct`2`n`(A,B)->_$`dProduct(A,B)``367015
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``367110
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``367156
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``367229
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``367302
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``367366
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``367452
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``367544
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``367617
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``367699
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``367771
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``367843
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``367967
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``368163
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``368334
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->_$`dDistribution(R)``368547
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``368844
ocontainsPoint?`2`n`(_$,PT)->Boolean`dSBoundary(PT)``368977
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``369132
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`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`369218
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`369308
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)`369393
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``369691
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``369787
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``369899
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``370011
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``370159
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``370403
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``370519
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``370635
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``370909
ocontract`2`n`(JetVectorField(JB,D),_$)->D`dJetDifferential(JB,D)``371207
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``371311
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``371413
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``371774
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``372255
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``372498
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``372745
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``372929
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->_$`dDistributedJetBundlePolynomial(R,JB,LJV,E)``373010
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``373144
oconvert`1`n`(List(_$))->_$`dPattern(R)``373245
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->String`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`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`(S)->_$`cConvertibleFrom(S)``373332
oconvert`1`n`(SExpression)->_$`dInputForm``373390
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(_$)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``373450
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`x`(DoubleFloat)->_$`dFloat``373584
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`373675
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``373851
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``373908
oconvert`1`x`(List(R))->_$`cPointCategory(R)``373965
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``374091
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``374190
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``374234
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`374278
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`374342
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`374406
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``374470
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`374514
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cSegmentCategory(S)``374667
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``374725
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``374769
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``374829
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``374886
oconvert`1`x`(Symbol)->_$`dRomanNumeral``374943
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``375013
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``375167
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``375318
oconvert`1`x`(_$)->S`cConvertibleTo(S)``375486
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``375553
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``375663
oconvert`2`n`(OutputForm,Integer)->_$`cOutputFormatterCategory``375773
oconvert`2`x`(OutputForm,Integer)->_$`dScriptFormulaFormat``375902
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``376179
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``376445
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``376742
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``376874
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``376908
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``377113
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``377329
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``377550
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``377767
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))->_$`dDrawOption``377985
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``378136
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``378362
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``378588
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``378770
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``378890
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``379004
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``379118
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)``379336
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``379495
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``379737
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``379964
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``380078
ocopies`2`x`(Integer,String)->String`pDisplayPackage``380237
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``380359
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``380432
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`380578
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``380702
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``380830
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dJetDifferential(JB,D)``381028
ocopy`1`n`(_$)->_$`dJetDifferentialEquation(JB,D)``381097
ocopy`1`n`(_$)->_$`dJetVectorField(JB,D)``381162
ocopy`1`n`(_$)->_$`dPattern(R)``381229
ocopy`1`n`(_$)->_$`dSparseEchelonMatrix(C,D)``381289
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``381350
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``381400
ocopy`1`x`(_$)->_$`cAggregate``381436
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``381571
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``381619
ocopy`1`x`(_$)->_$`dBasicOperator``381712
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``381764
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``381838
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``381936
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``382023
ocos`1`n`(E)->_$`dFourierComponent(E)``382273
ocos`1`n`(F)->F`pElementaryFunction(R,F)``382339
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)``382400
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``382467
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``382534
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``382602
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``382672
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``382739
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``382792
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``382894
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``382983
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)``383056
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``383139
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``383222
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``383302
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``383384
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``383453
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``383518
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``383616
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``383720
ocot`1`n`(F)->F`pElementaryFunction(R,F)``383807
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)``383871
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``383941
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``384011
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``384082
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``384155
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``384211
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``384313
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``384422
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``384511
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)``384587
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``384673
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``384759
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``384842
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``384927
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``384995
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`385063
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``385170
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`385240
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`385441
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``385606
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``385744
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``385886
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``386028
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``386262
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``386462
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``386623
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``386976
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``387184
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``387304
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`387597
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``387868
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``388002
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``388225
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``388462
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``388700
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``389309
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``389735
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``390339
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``390775
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``390979
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``391448
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``392037
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``392148
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``392353
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``392493
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``392605
ocreateSceneArrow`6`n`(_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``393584
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``394929
ocreateSceneBox`1`n`(DoubleFloat)->_$`dScene(PT)``395867
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``395979
ocreateSceneClip`1`n`(SBoundary(PT))->_$`dScene(PT)``396104
ocreateSceneDef`2`n`(String,_$)->_$`dScene(PT)``396236
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``396345
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``396437
ocreateSceneGrid`1`n`(SBoundary(PT))->_$`dScene(PT)``396562
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``396715
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->_$`dScene(PT)``396840
ocreateSceneGroup`0`n`()->_$`dScene(PT)``397021
ocreateSceneIFS`1`n`(SceneIFS(PT))->_$`dScene(PT)``397144
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``397304
ocreateSceneLine`1`n`(List(PT))->_$`dScene(PT)``397471
ocreateSceneLine`3`n`(_$,_$,DoubleFloat)->_$`dScene(PT)``397735
ocreateSceneLines`1`n`(List(List(PT)))->_$`dScene(PT)``398369
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``398626
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->_$`dScene(PT)``399001
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->_$`dScene(PT)``399330
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``399498
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``399623
ocreateSceneRoot`0`n`()->_$`dScene(PT)``400166
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``400292
ocreateSceneRoot`1`n`(SBoundary(PT))->_$`dScene(PT)``400417
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->_$`dScene(PT)``400545
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``400699
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->_$`dScene(PT)``400824
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``401075
ocreateSceneShape`1`n`(SBoundary(PT))->_$`dScene(PT)``401211
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``401363
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->_$`dScene(PT)``401513
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->_$`dScene(PT)``401625
ocreateSceneTransform`1`n`(STransform(PT))->_$`dScene(PT)``401772
ocreateSceneUse`1`n`(String)->_$`dScene(PT)``402004
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``402076
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``402235
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``402361
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``402487
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``402626
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``402765
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``402904
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``403043
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403477
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403513
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)``403547
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)``403584
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403623
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)``403657
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``403695
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)``403729
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``403768
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``403991
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`404144
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``404280
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``404489
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404587
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``404681
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)``404744
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``404813
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``404882
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``404952
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``405024
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``405079
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``405181
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``405270
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)``405345
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405430
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``405515
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``405597
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``405681
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``405748
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``405802
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``405839
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``405891
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``406009
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``406203
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``406296
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``406401
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``406507
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``406602
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``406827
ocurveColor`1`x`(Float)->_$`dDrawOption``407056
ocurveColor`1`x`(Palette)->_$`dDrawOption``407199
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``407369
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``407456
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``407658
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``407897
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``408001
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``408371
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``408548
ocycleClosed`2`n`(List(S),String)->_$`cFiniteGraph(S)``408674
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``408928
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``409075
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``409210
ocycleOpen`2`n`(List(S),String)->_$`cFiniteGraph(S)``409350
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``409702
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``409845
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`410079
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``410456
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``410546
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``410773
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``411103
ocyclic?`1`x`(_$)->Boolean`dTree(S)``411159
ocyclicCopy`1`x`(_$)->_$`dTree(S)``411220
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``411299
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``411383
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``411471
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``411660
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``411780
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`411866
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``412507
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``412603
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``412699
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``412795
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``412946
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``413149
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``413249
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``413395
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``413534
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``413771
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetDifferential(JB,D)``414210
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odSubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``414283
odU`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``414455
odX`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``414516
od`1`n`(D)->_$`dJetDifferential(JB,D)``414577
od`1`n`(JB)->_$`dJetDifferential(JB,D)``414635
odark`1`x`(Color)->_$`dPalette``414694
odatalist`1`x`(List(S))->_$`dDataList(S)``414793
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``414852
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``415144
odebug`1`n`(Boolean)->Boolean`dPlot``415237
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``415324
odebug`1`x`(Boolean)->_$`dGuessOption``415432
odecFatal`0`n`()->Void`pUnittestCount``415572
odecXfFatal`0`n`()->Void`pUnittestCount``415683
odecXfPass`0`n`()->Void`pUnittestCount``415734
odec`1`x`(_$)->_$`cIntegerNumberSystem``415910
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``415953
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``416029
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``416156
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``416273
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``416373
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``416483
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``416629
odeclare`1`n`(List(_$))->Symbol`dInputForm``416774
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``417123
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``417362
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``417404
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``417488
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``417848
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``418069
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`418121
odeductions`1`n`(List(_$))->List(_$)`dILogic``418261
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``418646
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``0
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``418686
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``418730
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``418877
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``419116
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``419601
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``419744
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``419885
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``419979
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`420081
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``420224
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`420336
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``420430
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``420595
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``420883
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``421041
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MPT,MD)``421131
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``421181
odegree`1`n`(_$)->Expon`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``421249
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``421336
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``421374
odegree`1`n`(_$)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``421442
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``421530
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``421699
odegree`1`x`(_$)->E`cGradedModule(R,E)``421786
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``421907
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``421990
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``422131
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``422258
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``422348
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``422450
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``422540
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``422642
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``422758
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``422845
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``422948
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``423137
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``423261
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``423369
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``423509
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``423617
odelay`1`x`(()->_$)->_$`dStream(S)``423799
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)``423952
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``424040
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``424149
odeleteRow!`2`n`(_$,Integer)->Void`dSparseEchelonMatrix(C,D)``424313
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``424404
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``424580
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``424759
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``424914
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``425144
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``425348
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``425672
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``425735
odenom`1`n`(_$)->R`dLocalize(M,R)``425794
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``425853
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``425965
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``426038
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`426150
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``426262
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`426327
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``426409
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``426499
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``426701
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``426763
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``426865
odequeue`1`x`(List(S))->_$`dDequeue(S)``427057
oderef`1`n`(_$)->S`dReference(S)``427243
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``427298
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``427494
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`427577
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivativeOf?`2`n`(_$,_$)->List(NonNegativeInteger)`cJetBundleCategory``427665
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``427869
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``427995
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``428247
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``428587
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt)``428706
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``428791
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``428949
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``429107
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429290
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429518
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``429762
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``429897
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`430032
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`430145
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``430222
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``430317
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``430511
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)``430705
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``430846
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``430951
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``431056
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``431617
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``431730
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``431956
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``432064
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``432173
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``432280
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``432624
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``432786
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``433065
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``433225
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)``433308
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativ--eInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeI--nteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,--NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(No--nNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kin--d:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``433425
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Str--eam(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),No--nNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteg--er)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiva--riatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInte--ger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fr--action(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(In--teger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(--EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`433540
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Sy--mbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(I--nteger),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNeg--ativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Spa--rseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNe--gativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePol--ynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Exp--ression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetVectorField(JB,D)``433674
odiffU`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``433765
odiffX`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``433844
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->_$`dJetVectorField(JB,D)``433923
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``434000
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``434071
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``434299
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``434664
odifferentials`1`n`(_$)->List(JB)`dJetDifferential(JB,D)``434798
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``434900
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``435056
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``435123
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``435190
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``435225
odifferentiate`2`n`(_$,JB)->_$`cJetBundleFunctionCategory(JB)``435328
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``435441
odifferentiate`2`n`(_$,PositiveInteger)->Union(_$,"0")`cJetBundleCategory``435625
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`435743
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``435830
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``435933
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``436036
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``436140
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``436243
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``436346
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``436450
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``436558
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``436668
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``436835
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``436919
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``437003
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``437087
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``437193
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``437296
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``437331
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``437473
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``437660
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``437792
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``437953
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``438027
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``438149
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``438224
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``438346
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``438421
odigit?`1`x`(_$)->Boolean`dCharacter``438544
odigit`0`x`()->_$`dCharacterClass``438641
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``438757
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``438834
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``438911
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`439008
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``439105
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``439183
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``439377
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``439491
odilate`2`n`(R,_$)->_$`cSequenceCategory(R)``439591
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``439689
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``439736
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``439777
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``439901
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``439998
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``440095
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``440207
odim`1`x`(Color)->_$`dPalette``440319
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``440411
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``440639
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``440713
odimension`1`n`(_$)->NonNegativeInteger`dCell(TheField)``440771
odimension`1`n`(_$)->PositiveInteger`cSPointCategory``440828
odimension`1`x`(_$)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``440930
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``441081
odimension`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``441162
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``441376
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimension`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``441483
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``441663
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``441728
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``442188
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``442652
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``442829
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``442959
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`443103
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``443300
odirectedGraph`1`n`(List(Permutation(S)))->_$`dDirectedGraph(S)``443537
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dDirectedGraph(S)``443632
odirectedGraph`1`n`(List(S))->_$`dDirectedGraph(S)``443779
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dDirectedGraph(S)``444055
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dDirectedGraph(S)``444205
odirection`1`n`(String)->Integer`pToolsForSign(R)``444307
odirections`1`n`(_$)->List(JB)`dJetVectorField(JB,D)``444348
odirectory`1`x`(_$)->String`cFileNameCategory``444465
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``444537
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``444666
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``444766
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``444881
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``445025
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``445084
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``445143
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``445229
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`445333
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`445416
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``445541
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``445573
odisplayKind`1`x`(Symbol)->_$`dGuessOption``445767
odisplayLines1`1`n`(List(String))->Void`pFortranCodeTools``445961
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``445992
odisplay`1`n`(String)->Void`dHTMLFormat``446022
odisplay`1`n`(_$)->Void`cOutputFormatterCategory``446085
odisplay`1`n`(_$)->Void`dJetDifferentialEquation(JB,D)``446137
odisplay`1`x`(String)->Void`dMathMLFormat``446485
odisplay`1`x`(String)->Void`dTexmacsFormat``446556
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``446627
odisplay`1`x`(_$)->Void`dDatabase(S)``446749
odisplay`1`x`(_$)->Void`dIndexCard``446826
odisplay`1`x`(_$)->Void`dScriptFormulaFormat``446912
odisplay`1`x`(_$)->Void`dTexFormat``447092
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``447276
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``447505
odisplay`2`x`(_$,Integer)->Void`dScriptFormulaFormat``447742
odisplay`2`x`(_$,Integer)->Void`dTexFormat``447880
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``448022
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``448553
odistanceSquared`2`n`(_$,_$)->DoubleFloat`cSPointCategory``449096
odistanceWeighted`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``449360
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`n`(_$,_$)->DoubleFloat`cSPointCategory``449436
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``449729
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``449829
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``450033
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``450251
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``450434
odistributionByBooleanCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``450669
odistributionByBooleanCumulants`1`x`(Stream(R))->_$`dDistribution(R)``450783
odistributionByClassicalCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``450897
odistributionByClassicalCumulants`1`x`(Stream(R))->_$`dDistribution(R)``451008
odistributionByEvenMoments`1`x`(Sequence(R))->_$`dDistribution(R)``451119
odistributionByEvenMoments`1`x`(Stream(R))->_$`dDistribution(R)``451244
odistributionByFreeCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``451369
odistributionByFreeCumulants`1`x`(Stream(R))->_$`dDistribution(R)``451477
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->_$`dDistribution(R)``451585
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->_$`dDistribution(R)``451713
odistributionByMoments`1`x`(Sequence(R))->_$`dDistribution(R)``451841
odistributionByMoments`1`x`(Stream(R))->_$`dDistribution(R)``451936
odistributionByMonotoneCumulants`1`x`(Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`452031
odistributionByMonotoneCumulants`1`x`(Stream(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`452147
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`452263
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``452380
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`452531
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``452648
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``452805
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``452833
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``453068
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``453410
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``453552
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``453777
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``454003
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``454116
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``454351
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``454437
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``454808
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``455259
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``455333
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``455404
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``455519
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``455697
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``456019
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``456089
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``456149
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``456209
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``456269
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``456358
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``456444
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``456686
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_with_error_env0`1`n`(()->List(String))->List(String)`pFortranCodeTools``456751
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``456787
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``456823
odo_with_error_env3`1`n`(()->Void)->Void`pFortranCodeTools``456877
odom`1`x`(_$)->SExpression`dAny``456931
odomainOf`1`x`(_$)->OutputForm`dAny``457057
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``457181
odot`1`n`(_$)->_$`dOutputForm``457590
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``457653
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``457836
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`457917
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`458008
odouble?`1`n`(_$)->Boolean`dFortranScalarType``458163
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``458262
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``458382
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``458424
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``458499
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``458667
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``458857
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``458943
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``459166
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``459905
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``460764
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``461001
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``461433
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``461831
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``461917
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462114
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462200
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462331
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``462481
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462657
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462800
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462979
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``463155
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463389
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463587
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463841
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464065
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464303
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464513
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``464829
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``465100
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``465369
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``465537
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``465773
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``466042
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466371
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``466657
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467010
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``467310
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467676
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467983
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``468300
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``468503
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``468867
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``469112
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``469510
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``469985
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``470043
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``470124
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``470211
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``470414
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``470439
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``470596
oei_int`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,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``0
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``470637
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``470782
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``470929
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)``471060
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``471421
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``471590
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``471749
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``471873
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``472023
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``472107
oelement`3`n`(M,PositiveInteger,PositiveInteger)->M`pMatrixManipulation(R,Row,Col,M)``472207
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``472316
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``472440
oelimZeroCols!`1`n`(_$)->Void`dSparseEchelonMatrix(C,D)``472532
oellipseBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``472668
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``472907
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``473184
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``473336
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``473416
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``473497
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``473577
oellipticE`1`x`(_$)->_$`cSpecialFunctionCategory``473658
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``473811
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`473975
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``474078
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``474166
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``474254
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``474342
oellipticE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``474430
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``474595
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`474759
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``474862
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``474949
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``475032
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``475119
oellipticF`2`x`(_$,_$)->_$`cSpecialFunctionCategory``475202
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``475367
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``475518
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``475605
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``475685
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``475770
oellipticK`1`x`(_$)->_$`cSpecialFunctionCategory``475850
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``476002
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`476189
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``476299
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``476392
oellipticPi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``476485
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``476673
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``476786
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``476899
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``477032
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``477165
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``477298
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``477431
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``477601
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``477771
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``477897
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``478023
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`10`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``478249
oelt`1`n`(_$)->S`dReference(S)``478462
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``478512
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``478573
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,Integer)->R`cSequenceCategory(R)``478652
oelt`2`n`(_$,List(_$))->_$`dOutputForm``478725
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``478827
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``478888
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``479055
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`479155
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`479293
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``479444
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``479512
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``479609
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``479703
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``479798
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``479891
oelt`2`x`(_$,"sort")->_$`dDataList(S)``479989
oelt`2`x`(_$,"unique")->_$`dDataList(S)``480079
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``480189
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``480286
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``480398
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``480554
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``480677
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``480741
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``480809
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``480896
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``480992
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``481130
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``481214
oelt`2`x`(_$,S)->Index`cEltable(S,Index)``481299
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``481462
oelt`2`x`(_$,Symbol)->Any`dLibrary``481551
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``481684
oelt`2`x`(_$,Symbol)->String`dIndexCard``481768
oelt`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``481960
oelt`2`x`(_$,_$)->_$`cStringAggregate``482168
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`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Integer,C)->D`dSparseEchelonMatrix(C,D)``482384
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``482511
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``482642
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``482986
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``483134
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``483261
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``483396
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``483564
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``483738
oelt`3`x`(_$,Integer,List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``483807
oelt`3`x`(_$,Integer,List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``484090
oelt`3`x`(_$,List(Integer),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``484297
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``484580
oelt`3`x`(_$,List(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``484957
oelt`3`x`(_$,List(Segment(Integer)),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``485099
oelt`3`x`(_$,List(Segment(Integer)),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``485306
oelt`3`x`(_$,List(Segment(Integer)),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``485505
oelt`3`x`(_$,Segment(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``485703
oelt`3`x`(_$,Segment(Integer),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``485845
oelt`3`x`(_$,Segment(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``486043
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``486185
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``486265
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``486426
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``486500
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``486719
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``486936
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``487124
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`6`x`(BasicOperator,_$,_$,_$,_$,_$)->_$`cExpressionSpace``487203
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`7`x`(BasicOperator,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``487348
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`8`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``487510
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`9`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``487689
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``487885
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``487989
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``488113
oempty?`1`n`(_$)->Boolean`dXmlElement``488202
oempty?`1`x`(_$)->Boolean`cAggregate``488289
oempty`0`n`()->_$`dOutputForm``488347
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``488392
oempty`0`n`()->_$`dSplittingNode(V,C)``488452
oempty`0`n`()->_$`dSymbolTable``488541
oempty`0`n`()->_$`dTheSymbolTable``488599
oempty`0`x`()->_$`cAggregate``488658
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``488850
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``488916
oendOfFile?`1`x`(_$)->Boolean`dTextFile``489014
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``489187
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``489282
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``489371
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``489566
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``489825
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(NonNegativeInteger)`dLoop``490043
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``490113
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,finiteAggregate),has(Entry,SetCategory))`490215
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``490307
oenumerate`0`x`()->List(_$)`cFinite``490403
oepilogue`1`x`(_$)->List(String)`dScriptFormulaFormat``490466
oepilogue`1`x`(_$)->List(String)`dTexFormat``490554
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``490634
oeqRep?`2`n`(_$,_$)->Boolean`dJetLazyFunction(JB,D)``490709
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``490910
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``491002
oequation`2`x`(S,S)->_$`dEquation(S)``491306
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``491358
oequation`2`x`(Symbol,String)->_$`dQueryEquation``491533
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``491589
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``491637
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``491685
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``491733
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``491886
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``491938
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``491991
oerfi`1`x`(_$)->_$`cLiouvillianFunctionCategory``492044
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``492097
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``492170
oerror`1`x`(List(String))->Exit`pErrorFunctions``492250
oerror`1`x`(String)->Exit`pErrorFunctions``492327
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``492402
oerror`2`x`(String,String)->Exit`pErrorFunctions``492566
oescape`0`x`()->_$`dCharacter``492734
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``492875
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``493032
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``493367
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``493674
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`(_$)->NonNegativeInteger`cEuclideanDomain``493859
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`493970
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``494061
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``494278
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``494600
oeval1`1`n`(_$)->_$`dJetLazyFunction(JB,D)``494753
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``494865
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``495064
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``495284
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``495521
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`n`(_$)->_$`dJetLazyFunction(JB,D)``495695
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``495802
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`495872
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``495941
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``496169
oeval`2`n`(_$,D)->D`dJetVectorField(JB,D)``496316
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``496403
oeval`2`n`(_$,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``496555
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``496648
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``496800
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``496948
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``497068
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``497331
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`497432
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``497553
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``497627
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`497725
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`497823
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``497927
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`498017
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`498089
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)``498174
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``498256
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``498489
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``498574
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``498649
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``498800
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``498904
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``499013
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``499214
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``499366
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``499567
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``499719
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``499842
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``499993
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``500097
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`500172
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`500316
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`500508
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`500726
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`500902
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`501055
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``501166
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``501218
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``501342
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``501576
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``501813
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``501997
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`502324
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``502393
oeven?`1`x`(_$)->Boolean`dPermutation(S)``502469
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``502600
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``502752
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``502904
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``503056
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``503208
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``503532
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`503913
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``504229
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``504271
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``504313
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)`504355
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`504443
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`504530
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`504718
oexists?`1`x`(_$)->Boolean`cFileNameCategory``504906
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``504976
oexp1`0`x`()->_$`dDoubleFloat``505175
oexp1`0`x`()->_$`dFloat``505248
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``505308
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``505395
oexp`1`n`(F)->F`pElementaryFunction(R,F)``505867
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``505933
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``505991
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``506065
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``506141
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``506217
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``506290
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``506365
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``506432
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``506495
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`506586
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``506682
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``506849
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`506962
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``507359
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``507421
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``507829
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``507924
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``508019
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``508275
oexpand`1`x`(_$)->R`dFactored(R)``508464
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``508677
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``508779
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``509146
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``509238
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``509469
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``509656
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``509796
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``509961
oexplogint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``510163
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``510558
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``510695
oexponent`1`n`(_$)->Integer`dMachineFloat``510735
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``510794
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``510848
oexponent`1`x`(_$)->Integer`dFactored(R)``510948
oexponential1`0`n`()->Float`pRandomFloatDistributions``511093
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``511136
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``511248
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``511291
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``511427
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``511588
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``513696
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``515804
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``516002
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``516200
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``516583
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``516966
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``519061
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``521156
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``521472
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``521538
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``521745
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``521807
oexprex`1`n`(OutputForm)->String`dHTMLFormat``521844
oexprex`1`x`(OutputForm)->String`dMathMLFormat``521919
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``522341
oexptMod`4`x`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``522463
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``522624
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``522685
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``522823
oexquo`2`n`(_$,_$)->_$`dOutputForm``522899
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`522962
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`523102
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`523222
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`523372
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`523522
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cEntireRing``523648
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``523779
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``523921
oextendToPoint`2`n`(_$,PT)->_$`dSBoundary(PT)``524489
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``524650
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``524751
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``524916
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``525015
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``525312
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``525415
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``525652
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``525736
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``525916
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``525964
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``526060
oextendedCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``526353
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``526426
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``526812
oextendedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``527026
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`527209
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`527372
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`527559
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``527731
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``528034
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``528200
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``528271
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``528412
oextension`1`x`(_$)->String`cFileNameCategory``528483
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``528550
oexternal?`1`n`(_$)->Boolean`dFortranType``528697
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``528783
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``528872
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``528955
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``529092
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``529326
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``529397
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``529525
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``529684
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``529835
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`1`n`(SparseEchelonMatrix(JB,_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``529978
oextractSymbol`2`n`(_$,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``530064
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``530259
oextract`3`n`(_$,Integer,Integer)->_$`dSparseEchelonMatrix(C,D)``530391
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``530503
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`530704
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`530812
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``530989
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``531217
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``531445
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``531556
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``531702
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``531943
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``532039
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``532096
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532233
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532319
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532499
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532642
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532885
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``533244
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`533361
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``533411
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``533661
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``533911
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``534193
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``534475
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``534671
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``534783
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``534927
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``535022
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``535132
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``535415
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``535661
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``536003
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``536317
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`536392
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``536448
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``536528
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``536625
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``536757
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``536832
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(SparseMultivariatePolynomial(R,Kernel(F)))->Factored(SparseMultivariatePolynomial(R,Kernel(F)))`pDenominatorIntegration(R,F)``536923
ofactor`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``536980
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``537115
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``537177
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``537486
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``537567
ofactor`1`n`(_$)->List(_$)`dILogic``537629
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``537970
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``538072
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``538160
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``538257
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``538378
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``538464
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``538548
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``538733
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``538957
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``539069
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``539136
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``539203
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``539270
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``539351
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``539475
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``539584
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``539733
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``539965
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``540163
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``540324
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``540563
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``540703
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``540924
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``541112
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``541272
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``541529
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``541758
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``542073
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``542166
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``542320
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``542485
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``542589
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``542693
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``542821
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``542949
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``543035
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``543149
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``543246
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dOrderedFreeMonoid(S)``543343
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``543440
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``543732
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``543811
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``543873
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``543935
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``543982
ofalse`0`x`()->_$`dBoolean``544029
offactor1`2`n`(UP,List(F))->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``544072
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``544137
offactor`2`n`(UP,List(F))->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``544225
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``544413
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``545161
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``545320
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``545481
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``545795
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`546050
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``546177
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``546243
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``546302
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``546382
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``546563
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``546639
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``546823
ofindNode`2`n`(_$,String)->Scene(PT)`dSceneNamedPoints(PT)``546902
ofindPoint`2`n`(_$,String)->PT`dSceneNamedPoints(PT)``546957
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,_$)->Union(S,"failed")`cCollection(S)``547041
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``547171
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``547285
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``547339
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``547393
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`547480
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`547694
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``547908
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``548107
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``548304
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``548423
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->A`dProduct(A,B)``548742
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``548804
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``548878
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``548939
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`549008
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``549173
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``549283
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cSequenceCategory(R)``549435
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``549514
ofirstn`2`n`(_$,NonNegativeInteger)->List(R)`cSequenceCategory(R)``549617
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``549691
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``549779
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``550029
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`550153
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``550236
oflatten`1`n`(DirectedGraph(_$))->_$`cFiniteGraph(S)``550414
oflatten`1`n`(_$)->_$`dInputForm``550606
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``550846
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``551065
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``551284
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``551375
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``551463
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``551599
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``551658
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`551717
ofloor`1`x`(_$)->_$`cRealNumberSystem``551793
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``551856
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`551948
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``552044
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``552159
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``552255
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``552351
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``552480
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(List(_$),PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DSys:List(_$),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``552626
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(_$,PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DPhi:_$,JVars:List(JB))`cJetBundleFunctionCategory(JB)``552732
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(List(_$),PositiveInteger)->List(_$)`cJetBundleFunctionCategory(JB)``553011
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(_$,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``553159
oformalDiff`2`n`(_$,PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``553269
oformula`1`x`(_$)->List(String)`dScriptFormulaFormat``553401
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``553487
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``553544
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``553593
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``553644
ofortranCharacter`0`n`()->_$`dFortranType``553746
ofortranComplex`0`n`()->_$`dFortranType``553826
ofortranDoubleComplex`0`n`()->_$`dFortranType``553902
ofortranDouble`0`n`()->_$`dFortranType``553991
ofortranInteger`0`n`()->_$`dFortranType``554075
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``554151
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``554273
ofortranLogical`0`n`()->_$`dFortranType``554358
ofortranReal`0`n`()->_$`dFortranType``554434
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``554504
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``554578
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``554762
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``554801
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``554892
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``555103
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`555197
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``555304
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``555385
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``555467
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``555553
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`555634
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``555761
ofree?`1`n`(_$)->Boolean`dLambda(UT)``555831
ofreeConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``555933
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``556043
ofreeCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``556160
ofreeCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``556262
ofreeMultiplicativeConvolution`2`x`(Distribution(R),Distribution(R))->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``556362
ofreeMultiplicativeConvolution`2`x`(_$,_$)->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`556502
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,JB)->Boolean`cJetBundleFunctionCategory(JB)``556647
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``556743
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``556845
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``556975
ofreeVariable?`2`n`(_$,UT)->Boolean`dSKICombinators(UT)``557075
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``557192
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``557256
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``557320
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``557384
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``557498
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``557562
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``557626
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``557690
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`557804
ofront`1`x`(_$)->S`cQueueAggregate(S)``557890
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`558040
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``558137
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``558319
ofullDisplay`1`x`(_$)->Void`dIndexCard``558397
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``558481
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``558604
ofunctionGraph`1`n`(List(Permutation(S)))->_$`dFunctionGraph(S)``558773
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``558825
ofunctionGraph`1`n`(List(S))->_$`dFunctionGraph(S)``558929
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``559201
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``559316
ofunctionName`1`x`(Symbol)->_$`dGuessOption``559447
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``559635
ofunctionNames`1`x`(List(Symbol))->_$`dGuessOption``559777
ofunction`2`n`(Symbol,List(_$))->_$`dJetBundleXExpression(JB)``559934
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``560033
ofunction`3`n`(Symbol,List(_$),NonNegativeInteger)->_$`dJetBundleExpression(JB)``560104
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``560273
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``560403
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``560510
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``560587
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``560673
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``560717
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``560878
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``561083
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``561176
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``561211
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``561277
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``561353
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``561522
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``561691
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``561775
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``561902
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``562021
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``562123
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``562234
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``562345
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``562424
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``562508
ogcd`1`x`(List(_$))->_$`cGcdDomain``562592
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``562681
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``562777
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`562873
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`562948
ogcd`2`x`(_$,_$)->_$`cGcdDomain``563038
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``563126
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``563241
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``563352
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``563455
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``563601
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``563733
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``563834
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``563938
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``564036
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``564140
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``564202
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``564395
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``564618
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``565007
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``565182
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``565357
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``565532
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``565707
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``566572
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``567032
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``567234
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``567465
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``567649
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``567805
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``567954
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``568055
ogeneralizedEigenvector`2`x`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``568173
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``568358
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``568762
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``568864
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``569108
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`569242
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``569381
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``569446
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``569538
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``569624
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``569688
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``569792
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``569873
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``569948
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570023
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570357
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570502
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570775
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`570923
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``571165
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571311
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571646
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`571796
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`572036
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`572189
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572396
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572566
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572733
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``572937
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``573109
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``573274
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``573503
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``573583
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``573663
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``573704
ogetArrows`1`n`(_$)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``573799
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``573870
ogetBoundValue`1`n`(_$)->NonNegativeInteger`dLambda(UT)``574011
ogetCentre`1`n`(_$)->PT`dSBoundary(PT)``574093
ogetChildren`1`n`(_$)->List(_$)`dILogic``574192
ogetChildren`1`n`(_$)->List(_$)`dLambda(UT)``574267
ogetChildren`1`n`(_$)->List(_$)`dSKICombinators(UT)``574389
ogetCode`1`n`(_$)->List(String)`dFortranCode``574464
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``574601
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``574745
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``575004
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``575125
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``575203
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``575449
ogetMax`1`n`(_$)->PT`dSBoundary(PT)``575610
ogetMin`1`n`(_$)->PT`dSBoundary(PT)``575703
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``575796
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``575890
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``575984
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``576078
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``576255
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``576432
ogetName`1`n`(_$)->String`cVarCat``576609
ogetNames`1`n`(_$)->List(String)`dSceneNamedPoints(PT)``576650
ogetNotation`0`n`()->Symbol`cJetBundleCategory``576714
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``576777
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``576971
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``577274
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`577390
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``577517
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``577566
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``577655
ogetType`1`n`(_$)->ILogic`cVarCat``577728
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``577928
ogetVariable`1`n`(_$)->UT`dLambda(UT)``578135
ogetVariable`1`n`(_$)->UT`dSKICombinators(UT)``578245
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(_$,S)->NonNegativeInteger`cFiniteGraph(S)``578323
ogetVertices`1`n`(_$)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``578392
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``578492
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``578630
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``578759
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``578897
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``578972
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``579091
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``579156
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``579218
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``579300
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``579370
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``579426
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``579502
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``579566
ogotoJump`1`n`(SingleInteger)->_$`dFortranCode``579713
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``579792
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``579849
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``579969
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``580158
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``580315
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``580487
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``580651
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``580877
ographImage`0`n`()->_$`dGraphImage``581318
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``581503
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``582610
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``582881
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``583221
ogreen`0`x`()->_$`dColor``583394
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``583471
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``583768
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``583805
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``583900
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``584402
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``584990
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``585607
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``586316
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``586528
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``586652
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``586868
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``586975
ogroebner`1`n`(List(_$))->List(_$)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`587194
ogroebner`1`n`(List(_$))->List(_$)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`587309
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``587436
ogroebner`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``587560
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``587666
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``588131
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`dJetBundleLinearFunction(JB,D)``588519
oground?`1`n`(_$)->Boolean`dJetLazyFunction(JB,D)``588623
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``588718
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``588809
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->_$`dJetBundleLinearFunction(JB,D)``588879
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``588940
oground`1`x`(_$)->R`cFunctionSpace(R)``589018
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``589145
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`589375
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``589580
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``589774
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``590012
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``590202
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``590498
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`590771
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``591010
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`591226
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``591465
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``591681
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`591897
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``592128
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`592321
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``592552
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``592757
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``592962
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``593191
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``593384
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`593688
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``593890
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``594178
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`594451
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``594717
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``594974
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``595307
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``595572
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`595854
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``596126
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``596372
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`596560
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``596724
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``596876
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``597069
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``597227
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``597523
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``597786
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``597821
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`597883
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`598027
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`598171
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`598327
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`598505
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`598661
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``598839
ohankelDeterminants`1`n`(_$)->Stream(R)`cDistributionCategory(R)``598947
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``599055
ohankelH1`2`x`(_$,_$)->_$`cSpecialFunctionCategory``599147
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``599240
ohankelH2`2`x`(_$,_$)->_$`cSpecialFunctionCategory``599337
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``599435
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``599543
ohasDimension?`1`n`(_$)->Boolean`dSimpleCell(TheField,ThePols)``599624
ohasDimension?`2`n`(_$,Symbol)->Boolean`dCell(TheField)``599796
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``599941
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``600019
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``600099
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``600191
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``600283
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``600362
ohashUpdate!`2`n`(HashState,A)->HashState`xFiniteLinearAggregate&(A,S)``0
ohashUpdate!`2`x`(HashState,_$)->HashState`cSetCategory``600501
ohash`1`n`(A)->SingleInteger`xFiniteGraph&(A,S)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``600690
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``600749
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``600994
ohclf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``601172
ohconcat`1`n`(List(_$))->_$`dOutputForm``601340
ohconcat`2`n`(_$,_$)->_$`dOutputForm``601419
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``601503
ohcrf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``601682
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``601851
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``601940
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``602028
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``602265
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``602467
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``602634
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``602765
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``602892
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`602996
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``603241
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``603357
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``603574
oheap`1`x`(List(S))->_$`dHeap(S)``603697
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``603788
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``603895
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``603958
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``604065
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``604359
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``604680
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``604963
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``604997
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``605054
ohermiteH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``605219
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``605276
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``605547
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``605628
ohexDigit?`1`x`(_$)->Boolean`dCharacter``605816
ohexDigit`0`x`()->_$`dCharacterClass``605950
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``606072
ohi`1`x`(_$)->S`cSegmentCategory(S)``606148
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`606250
ohigh`1`x`(_$)->S`cSegmentCategory(S)``606507
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``606599
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``606693
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``606875
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``606965
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``607075
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``607206
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``607565
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``607702
ohorizJoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``607933
ohorizSplit`2`n`(S,List(PositiveInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(_$,C)->Record(Left:_$,Right:_$)`dSparseEchelonMatrix(C,D)``608101
ohorizSplit`2`x`(_$,List(PositiveInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``608300
ohorizSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``608509
ohspace`1`n`(Integer)->_$`dOutputForm``608662
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``608725
ohue`1`n`(Point(R))->R`pPointPackage(R)``608826
ohue`1`x`(_$)->Color`dPalette``609149
ohue`1`x`(_$)->Integer`dColor``609227
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``609303
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``609439
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``609575
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``609666
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`609757
ohypergeometricF`3`x`(List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`609845
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``609934
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``609997
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``610055
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``610118
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``610176
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``610393
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``610575
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``610635
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``610667
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``610965
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``611048
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``611153
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``611231
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``611399
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``611499
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``611656
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`611837
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``611928
oidentity`0`n`()->_$`dSTransform(PT)``611987
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``612071
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``612125
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``612189
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`612253
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`612317
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``612381
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``612542
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``612606
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``612665
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``612729
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``612788
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``612848
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``612908
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``612968
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``613028
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``613085
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``613143
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``613211
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``613276
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``613332
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``613388
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``613445
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``613501
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``613558
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``613614
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``613671
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``613727
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``613784
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``613840
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``613897
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``613953
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``614010
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``614068
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``614123
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``614179
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``614234
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``614290
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``614345
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``614401
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``614461
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``614519
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``614576
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``614631
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``614688
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``614743
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``614782
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``614839
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``614901
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``614957
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``614996
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``615051
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``615107
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``615162
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``615218
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``615274
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``615330
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``615385
oimagE`1`x`(_$)->R`cOctonionCategory(R)``615441
oimagI`1`x`(_$)->R`cOctonionCategory(R)``615523
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``615605
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``615689
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``615771
oimagK`1`x`(_$)->R`cOctonionCategory(R)``615855
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``615937
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``616021
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``616120
oimag`1`x`(_$)->R`cComplexCategory(R)``616219
oimagi`1`x`(_$)->R`cOctonionCategory(R)``616277
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``616349
oimagj`1`x`(_$)->R`cOctonionCategory(R)``616407
oimagk`1`x`(_$)->R`cOctonionCategory(R)``616479
oimplies`2`n`(_$,_$)->_$`dILogic``616551
oimplies`2`x`(_$,_$)->_$`dBoolean``616800
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``616896
oinBounds?`3`n`(_$,_$,_$)->Boolean`cSPointCategory``616986
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``617132
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``617233
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``617340
oinR?`1`n`(_$)->Boolean`dPattern(R)``617739
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``617834
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``617945
oincFatal`1`n`(String)->Void`pUnittestCount``618065
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``618170
oincPass`0`n`()->Void`pUnittestCount``618287
oincXfFail`0`n`()->Void`pUnittestCount``618365
oincXfFatal`1`n`(String)->Void`pUnittestCount``618456
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``618507
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``618567
oinc`1`x`(_$)->_$`cIntegerNumberSystem``618720
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``618763
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``619077
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``619262
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``619447
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`619602
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``619732
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``619925
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``620113
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``620295
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``620328
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``620410
oindexName`1`x`(Symbol)->_$`dGuessOption``620521
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``620660
oindex`1`n`(_$)->PositiveInteger`cJetBundleCategory``620697
oindex`1`x`(PositiveInteger)->_$`cFinite``620766
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``621013
oindexes`1`n`(_$)->List(List(NonNegativeInteger))`dSceneIFS(PT)``621115
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``621183
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``621341
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``621431
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``621528
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``621628
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``621728
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``621824
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``621920
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``622154
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``622388
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``622656
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``622924
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)``623105
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``623203
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``623301
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``623482
oinf`1`x`(_$)->R`cIntervalCategory(R)``623608
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``623662
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``623798
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``623935
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``623993
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``624067
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``624215
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``624363
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``624511
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``624659
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``624772
oinfinity`0`x`()->_$`dOnePointCompletion(R)``624815
oinfix?`1`n`(_$)->Boolean`dOutputForm``624858
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``624968
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``625112
oinfsum`1`n`(Stream(_$))->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``625200
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``625342
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`()->_$`cStepThrough``625397
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``625458
oinitial`0`n`()->_$`cFiniteGraph(S)``625651
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``625718
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``625870
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``626310
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,_$)->P`cTriangularSetCategory(R,E,V,P)``626777
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``627025
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``627237
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``627480
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``627682
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``627819
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``627987
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``628089
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``628428
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``628541
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``628667
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``629021
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``629105
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``629219
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``629441
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``629507
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``629604
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``629675
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``629774
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)``629872
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``629974
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``630085
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``630197
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``630327
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``630493
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``630594
oinsert`2`n`(List(D),_$)->_$`dJetDifferentialEquation(JB,D)``630830
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``630933
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``631114
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`631308
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``631351
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``631402
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``631467
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``631553
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``631638
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``631783
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)``631875
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)))`631915
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``632168
oint`1`n`(_$)->_$`dOutputForm``632280
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``632366
oint`2`n`(_$,_$)->_$`dOutputForm``632451
oint`3`n`(_$,_$,_$)->_$`dOutputForm``632567
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``632724
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``632765
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``632820
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``632872
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``632963
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``633055
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``633149
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``633232
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``633378
ointegerPart`1`n`(_$)->NonNegativeInteger`dSmallOrdinal``633482
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``633590
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``633706
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``633800
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``633924
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``633991
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`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``634066
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``634158
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``634253
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``634341
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``634427
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``635295
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``636163
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``637023
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``637891
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``637963
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``638174
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``638519
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``638635
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``638864
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``639089
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``639261
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``639357
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``639489
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`639578
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``639674
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``639815
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrateIfCan`2`n`(_$,PositiveInteger)->Union(_$,"failed")`cJetBundleCategory``639897
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``640022
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`640091
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`640274
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`640463
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`640580
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`640777
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`640966
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``641241
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(_$,PositiveInteger)->_$`cJetBundleCategory``641346
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`641477
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`641666
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`641855
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`642049
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`642238
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`642427
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``642621
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``642785
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)``642900
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)``643064
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`643228
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``643344
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`643475
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))))`643608
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`643741
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))))`643874
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`644007
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))))`644140
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`644273
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`644437
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`644667
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`644856
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``645012
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)``645423
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)``645834
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`646245
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``646401
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``646599
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``646897
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``646938
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``647103
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``647215
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``647345
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)``647475
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``647581
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``647687
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``647770
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``647896
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``647981
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``648100
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``648234
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``648473
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``648712
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``648973
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``649229
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``649347
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``649465
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``649515
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``649912
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``650091
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``650146
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``650257
ointerpret`1`n`(_$)->Any`dInputForm``650381
ointersect`1`x`(List(_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``650444
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``650531
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``650638
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``650816
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``650899
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``650980
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``651251
ointersection`1`n`(List(_$))->_$`dSBoundary(PT)``651346
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``651512
ointerval`1`x`(R)->_$`cIntervalCategory(R)``651578
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``651644
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``651786
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)``651908
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``651980
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``652015
oinv`1`x`(_$)->_$`cDivisionRing``652050
oinv`1`x`(_$)->_$`cGroup``652143
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`652197
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`652264
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``652333
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``653049
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``653285
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``653514
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``653724
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``653792
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``653954
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`654174
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`654327
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`654489
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`654621
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`654783
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``654858
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``654980
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``655201
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``655398
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``655578
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``655671
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``655788
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``655920
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``656066
oiprint`1`n`(String)->Void`pInternalPrintPackage``656121
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``656200
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`656281
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``656344
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``656428
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`656591
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``656863
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``657218
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``657444
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``657722
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``657790
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``657871
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``657998
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``658090
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``658174
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``658275
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`658346
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`658482
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(_$)->Boolean`cFiniteGraph(S)``658982
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``659052
oisBoundNode?`1`n`(_$)->Boolean`dLambda(UT)``659164
oisBox?`1`n`(_$)->Boolean`dSBoundary(PT)``659235
oisCompound?`1`n`(_$)->Boolean`dLambda(UT)``659314
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``659404
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``659569
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``659689
oisEllipse?`1`n`(_$)->Boolean`dSBoundary(PT)``659809
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``659890
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``659997
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`660109
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``660194
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)`660307
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`660419
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(_$,NonNegativeInteger)->Boolean`cFiniteGraph(S)``660529
oisFreeNode?`1`n`(_$)->Boolean`dLambda(UT)``660608
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(_$)->Boolean`cFiniteGraph(S)``660681
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``660844
oisI?`1`n`(_$)->Boolean`dSKICombinators(UT)``661054
oisK?`1`n`(_$)->Boolean`dSKICombinators(UT)``661120
oisLambda?`1`n`(_$)->Boolean`dLambda(UT)``661185
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``661258
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`661370
oisNodeBranch?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``661457
oisNodeLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``661529
oisNull?`1`n`(_$)->Boolean`dSBoundary(PT)``661621
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``661716
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``661840
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``661962
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)``662094
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`662237
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``662338
oisPoint?`1`n`(_$)->Boolean`cSPointCategory``662494
oisPointLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``662591
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``662712
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``662820
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`662916
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``663002
oisS?`1`n`(_$)->Boolean`dSKICombinators(UT)``663101
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``663166
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``663288
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`663418
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``663518
oisVector?`1`n`(_$)->Boolean`cSPointCategory``663817
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``663912
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``664026
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``664209
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``664286
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``664438
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``664585
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``664755
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``664872
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``664936
ojacobiCn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``665000
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``665171
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``665343
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``665460
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``665524
ojacobiDn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``665588
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``665761
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``665971
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``666181
ojacobiMatrix`1`n`(_$)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``666281
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(_$),List(List(JB)))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``666384
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``666613
ojacobiP`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``666678
ojacobiParameters`1`n`(_$)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`666743
ojacobiParameters`1`n`(_$)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`666856
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``666969
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``667147
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``667290
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``667407
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``667471
ojacobiSn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``667535
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``667679
ojacobiTheta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``667748
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``667818
ojacobiZeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``668020
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``668222
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``668506
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``668705
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``668793
ojetVariables`1`n`(_$)->List(JB)`cJetBundleFunctionCategory(JB)``669030
ojoin`2`n`(_$,_$)->_$`dJetDifferentialEquation(JB,D)``669139
ojoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``669240
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``669322
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``669613
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``669904
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``670264
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``670624
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``670724
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``670893
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``671252
okelvinBei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``671429
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``671607
okelvinBer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``671784
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``671962
okelvinKei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``672156
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``672351
okelvinKer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``672545
okernel`1`n`(Symbol)->_$`dKernel(S)``672740
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``672801
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``672908
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``672992
okernels`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``673193
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``673399
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``673565
okey`1`n`(_$)->Integer`dGraphImage``673638
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``673769
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``673927
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``674089
okgraph`2`n`(List(S),String)->_$`cFiniteGraph(S)``674156
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``674475
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``674562
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``674609
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``674933
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``675377
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``675398
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``675419
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``675614
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``675819
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``675986
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``676120
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(_$,Integer,List(List(NonNegativeInteger)),List(_$),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``676216
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``676256
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``676378
okummerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``676445
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``676515
okummerU`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``676582
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``676652
olabel`2`n`(_$,_$)->_$`dOutputForm``676761
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``676837
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``676967
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``677121
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``677295
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``677359
olaguerreL`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``677510
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``677574
olambda`1`n`(NonNegativeInteger)->_$`dLambda(UT)``677854
olambda`1`n`(UT)->_$`dLambda(UT)``677928
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``677977
olambda`2`n`(_$,UT)->_$`dLambda(UT)``678160
olambda`2`n`(_$,_$)->_$`dLambda(UT)``678236
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``678287
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``678383
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``678454
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``678514
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``678574
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``678634
olambertW`1`x`(_$)->_$`cSpecialFunctionCategory``678694
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``678805
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``678825
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``678845
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``678865
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``678885
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``678905
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``678925
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``678945
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``678965
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``678985
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``679005
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``679025
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``679045
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``679354
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``679721
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``679746
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``679767
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``679788
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``679809
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``679830
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``679851
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``679872
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``680144
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``680705
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`680850
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``681020
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``681182
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``681541
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`681697
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``681901
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`682005
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``682242
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``682944
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``683059
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``683190
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)``683341
olatex`1`n`(A)->String`xFiniteGraph&(A,S)``0
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``683497
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``683581
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``683736
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``683871
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``684054
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``684124
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``684257
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``684372
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``684617
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``684677
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``684876
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``685050
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``685243
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``685411
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`685688
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`685768
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``685859
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`685968
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``686406
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``686546
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)``686696
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)``686840
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``686999
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``687224
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)``687508
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``687738
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``687947
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``688181
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``688308
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``688548
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``688837
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`689076
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``689206
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcmCoef`2`n`(_$,_$)->Record(llcm_res:_$,coeff1:_$,coeff2:_$)`cLeftOreRing``689244
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``689457
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``689550
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``689636
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``689768
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``690036
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``690149
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``690323
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``690426
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``690524
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``690882
oleadingCoefficient`1`n`(_$)->R`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``690983
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``691083
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``691189
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``691239
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``691286
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``691469
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``691566
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCategory(R,S)``691659
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``691765
oleadingCoefficient`1`x`(_$)->R`cMonoidRingCategory(R,M)`has(M,OrderedSet)`691882
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``692050
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``692167
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingDer`1`n`(_$)->JB`cJetBundleFunctionCategory(JB)``692320
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``692455
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``692502
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``692615
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``692659
oleadingMonomial`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``692706
oleadingMonomial`1`x`(_$)->M`cMonoidRingCategory(R,M)`has(M,OrderedSet)`692797
oleadingMonomial`1`x`(_$)->S`cFreeModuleCategory(R,S)``692956
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``693069
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``693160
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``693243
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)``693412
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``693565
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``693602
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``693663
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``693918
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``694192
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``694311
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``694437
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``694663
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``694889
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``695047
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``695417
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``695787
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``696100
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`696308
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`696516
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``696771
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`696898
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`697025
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``697141
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``697381
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``697428
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`697667
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``697906
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`698107
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`698309
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``698543
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``698671
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`698769
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`698826
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``698883
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``699077
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``699271
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`699465
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`699659
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``699755
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`699994
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``700233
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`700399
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``700619
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``700808
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)``700980
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``701284
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`701479
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``701674
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``701870
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``702154
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``702438
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``702652
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``702745
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``702914
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`703094
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)``703219
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`703342
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`703466
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``703523
oleft`1`n`(_$)->_$`dMagma(VarSet)``703654
oleft`1`n`(_$)->_$`dOutputForm``703780
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``703847
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``703920
oleft`2`n`(_$,Integer)->_$`dOutputForm``703966
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`704054
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704223
olegendreP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``704296
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704370
olegendreQ`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``704443
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``704517
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``704793
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``705149
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``705260
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``705316
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``705408
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``705481
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``705548
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``705615
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`705714
olength`1`x`(_$)->_$`cIntegerNumberSystem``705818
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``705872
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``705906
olerchPhi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``705968
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``706031
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``706135
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``706214
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``706418
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``706555
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``706789
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``706978
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``707365
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``707432
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``707602
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``707905
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``708075
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``708240
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``708505
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``708637
olflogint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``708710
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``709008
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``709235
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``709290
olhs`1`x`(_$)->S`dEquation(S)``709360
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``709434
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``709481
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``709548
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``709608
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``709668
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``709728
olibrary`1`x`(FileName)->_$`dLibrary``709857
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``709911
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``710118
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``710325
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``710655
olie`2`n`(JetVectorField(JB,D),_$)->_$`dJetDifferential(JB,D)``710985
olie`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``711081
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``711219
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``711311
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``711347
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``711449
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``711490
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``711525
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``711611
olight`1`x`(Color)->_$`dPalette``711685
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``711777
olimitPart`1`n`(_$)->_$`dSmallOrdinal``712047
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``712191
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``712266
olimit`2`n`(_$,NonNegativeInteger)->Loop`dFunctionGraph(S)``712343
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)``712484
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)``712571
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)``712698
olimit`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``712825
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``712966
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``713169
olimitedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``713440
olimitedint`2`n`(Fraction(UP),List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pRationalIntegration(F,UP)``713751
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``714036
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``714074
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``714221
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``714374
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``714478
olineIntersect`2`n`(_$,PT)->PT`dSBoundary(PT)``714604
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``714865
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`714992
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`715677
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`715831
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`716071
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``716227
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``716485
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``716732
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``716968
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``717121
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`717262
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``717390
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``717558
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``717797
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``717835
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``717878
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``718013
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``718175
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``718357
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``718528
olinkToFortran`4`n`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``718710
olinkToFortran`4`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``718773
olinkToFortran`5`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``718837
olink`2`n`(_$,_$)->List(PT)`dSBoundary(PT)``718906
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``719150
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``719225
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``719306
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``719422
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)``719538
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``719790
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``719907
olistOfLists`1`x`(_$)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``719996
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``720084
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``720160
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``720242
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``720341
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``720419
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``720574
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``720942
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``721421
olist`1`x`(_$)->List(_$)`dSymbol``721485
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``721589
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``721658
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``721928
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``722186
olo`1`x`(_$)->S`cSegmentCategory(S)``722442
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``722529
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``722730
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``722931
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``723838
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``724751
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``725656
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``726569
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``726629
olog10`0`x`()->_$`dFloat``726686
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``726754
olog10`1`x`(_$)->_$`dDoubleFloat``726832
olog10`1`x`(_$)->_$`dFloat``726905
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``726976
olog2`0`x`()->_$`dFloat``727182
olog2`1`x`(_$)->_$`dDoubleFloat``727268
olog2`1`x`(_$)->_$`dFloat``727339
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``727408
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``727569
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``727693
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``727758
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``727882
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``727947
olog`1`n`(F)->F`pElementaryFunction(R,F)``728034
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``728098
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``728254
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``728312
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``728370
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``728441
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``728514
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``728570
olog`1`x`(_$)->_$`cElementaryFunctionCategory``728637
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``728880
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`728969
ologicF`0`n`()->_$`dILogic``729063
ologicT`0`n`()->_$`dILogic``729122
ological?`1`n`(_$)->Boolean`dFortranScalarType``729164
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``729256
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``729336
olommelS1`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``729406
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``729477
olommelS2`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``729547
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``729618
olookup`1`x`(_$)->PositiveInteger`cFinite``729691
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``729779
oloop`1`n`(List(NonNegativeInteger))->_$`dLoop``730265
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(_$)->List(Loop)`cFiniteGraph(S)``730342
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(_$,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``730701
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(_$)->List(Loop)`cFiniteGraph(S)``730809
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(_$,_$)->Boolean`cFiniteGraph(S)``730969
olow`1`x`(_$)->S`cSegmentCategory(S)``731365
olowerCase!`1`x`(_$)->_$`cStringAggregate``731454
olowerCase?`1`x`(_$)->Boolean`dCharacter``731558
olowerCase`0`x`()->_$`dCharacterClass``731669
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``731793
olowerCase`1`x`(_$)->_$`dCharacter``731874
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``732045
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``732197
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``732493
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``732695
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``732779
olquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``732973
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``733171
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``733255
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``733348
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``733432
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``733529
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``733589
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``733655
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``733758
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``733829
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``733900
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`734017
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``734121
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``734215
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`734496
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``734705
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``734816
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``734890
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``735051
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``735254
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`735522
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`735744
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``735969
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``736076
omainVariableOf`1`n`(_$)->Symbol`dCell(TheField)``736200
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``736266
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``736425
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``736625
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``736784
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->_$`dCell(TheField)``736928
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),_$)->_$`dCell(TheField)``737006
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``737132
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``737221
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``737258
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``737378
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``737697
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``737804
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``737903
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``738165
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``738500
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``738738
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``739205
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``739735
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``739819
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``740103
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``740387
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``740708
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``740940
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``741293
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``741570
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``741871
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``742130
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``742470
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``742747
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``743034
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``743397
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``743827
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``744209
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``744652
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``745038
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``745437
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``745648
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``746089
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``746559
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``747101
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``747612
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``747786
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``747873
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``748000
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``748121
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``748210
omakeSystem`1`n`(List(D))->_$`dJetDifferentialEquation(JB,D)``749131
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``749208
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``749343
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)->_$`cDifferentialPolynomialCategory(R,S,V,E)``749410
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`749733
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``750061
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``750203
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``750425
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``750775
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``751001
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``751337
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``751582
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``751866
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``751919
omantissa`1`n`(_$)->Integer`dMachineFloat``752008
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``752067
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``752132
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`752228
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``752328
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``752442
omapContra`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``752528
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``752660
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``753104
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``753712
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``753799
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``753886
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``753973
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``754102
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``754187
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``754272
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``754357
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``754442
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``754614
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``754659
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``754825
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``754930
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``755035
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``755360
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``755845
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)``755985
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``756094
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)``756136
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``756231
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``756330
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``756465
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``756589
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``756685
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``756725
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``756875
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``757017
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``757137
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``757233
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``757417
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``757604
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``757766
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``757941
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``758048
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``758265
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``758407
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``758568
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``758608
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``758648
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``758688
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``758810
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``758919
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``759028
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``759070
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``759179
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)``759220
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``759262
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``759304
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``759416
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``759511
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``759623
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``759734
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``759840
omap`2`x`((R)->R,_$)->_$`dFactored(R)``759939
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``760216
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``760315
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``760509
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``760592
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``760679
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``760954
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``761134
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``761225
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``761341
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``761514
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``761554
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``761843
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``761967
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``762114
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`762207
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``762438
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``762508
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``762587
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``762722
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`762857
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``762948
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``763055
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``763137
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``763179
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``763221
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``763317
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``763413
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``763453
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``763533
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``763629
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``763792
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``763954
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``764046
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``764270
omap`2`x`((S)->S,_$)->_$`dEquation(S)``764441
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``764538
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``764621
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``764750
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``764855
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``764996
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``765306
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``765351
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``765396
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``765846
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``765891
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``766164
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``766413
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``766534
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``766688
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``766812
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``767048
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``767222
omap`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``767584
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``767986
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`768081
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``768179
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``768278
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``768345
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``768536
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``768939
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``769311
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``769672
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``770047
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``770436
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``770810
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``770902
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``771145
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``771237
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``771477
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``771569
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``771810
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``771902
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``772143
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``772235
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``772476
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``772578
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``772647
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``772826
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``772936
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``773082
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``773228
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``773312
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``773434
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``773526
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``773616
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``773673
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``774020
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``774085
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`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`774252
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``774467
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``774522
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``774722
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``774789
omaxPoints3D`0`n`()->Integer`dPlot3D``775128
omaxPoints`0`n`()->Integer`dPlot``775204
omaxPoints`0`x`()->Integer`pGraphicsDefaults``775277
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``775351
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``775422
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``775477
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``775778
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``775867
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``775954
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``776009
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``776148
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``776203
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`776563
omax`0`x`()->_$`dSingleInteger``776626
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``776682
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`776867
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``776939
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``777016
omax`2`n`(_$,_$)->_$`cSPointCategory``777220
omax`2`x`(_$,_$)->_$`cOrderedSet``777497
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``777591
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``777749
omaximumExponent`0`n`()->Integer`dMachineFloat``777835
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``777909
omaxint`0`n`()->PositiveInteger`dMachineInteger``777993
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``778057
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)``778131
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)``778213
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``778296
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`778493
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`779540
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`779956
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`780140
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``781222
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``781329
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`781900
omeijerG`5`x`(List(_$),List(_$),List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`781973
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``782047
omeixnerM`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``782114
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``782181
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),_$)->Boolean`dVectorSpaceBasis(R)``782285
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``782383
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`782505
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`782735
omembers`1`x`(_$)->List(S)`dMultiset(S)``782894
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`783024
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``783116
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``783245
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``783348
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``783533
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``783856
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``783935
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`(_$,_$)->_$`cFiniteGraph(S)``784129
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``784322
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`784414
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``784541
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``784672
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``784850
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``785466
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``785680
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``785745
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``785814
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``785874
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``785940
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``786015
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``786242
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``786504
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``787250
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``788171
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``788735
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``789516
omessagePrint`1`n`(String)->Void`dOutputForm``789890
omessage`1`n`(String)->_$`dOutputForm``790030
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``790115
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``790186
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``790263
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``790368
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``790444
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``790537
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``790628
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`790666
ominPoints3D`0`n`()->Integer`dPlot3D``790867
ominPoints`0`n`()->Integer`dPlot``790943
ominPoints`0`x`()->Integer`pGraphicsDefaults``791016
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``791090
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``791161
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``791196
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`791231
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`791301
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``791370
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``791460
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`791548
omin`0`x`()->_$`dSingleInteger``791611
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``791668
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`791846
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``791919
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``792003
omin`2`n`(_$,_$)->_$`cSPointCategory``792200
omin`2`x`(_$,_$)->_$`cOrderedSet``792479
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``792573
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``792650
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``792808
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)``792904
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``793022
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`793143
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`793222
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``793382
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``793458
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``793581
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``793731
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``793880
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``794038
ominimumExponent`0`n`()->Integer`dMachineFloat``794211
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``794285
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``794369
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`794493
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`794617
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``794705
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``794787
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``794936
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``795088
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``795293
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``795346
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``795395
omirror`1`n`(_$)->_$`dMagma(VarSet)``795477
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``795685
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``795748
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``795844
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``795944
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``795979
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``796140
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`796407
omkcomm`1`x`(Integer)->_$`dCommutator``796528
omkcomm`2`x`(_$,_$)->_$`dCommutator``796568
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``796613
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``796659
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``796928
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``797166
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``797677
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``798156
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``798473
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``798628
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``798724
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``798815
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``799313
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``799448
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``799564
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)``799809
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`800728
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``800804
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``800910
omodulus`0`n`()->Rep`dModMonic(R,Rep)``800973
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``801011
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``801066
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``801105
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``801144
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``801183
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``801460
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`801546
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``801674
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``801797
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``801915
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`802032
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`802138
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``802221
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`802337
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`802453
omoment`2`n`(_$,NonNegativeInteger)->R`cDistributionCategory(R)``802582
omoments`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``802671
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``802757
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``802860
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``803041
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``803248
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``803390
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)``803581
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`803832
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`804069
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``804353
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``804529
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`804658
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`804897
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``805183
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)``805445
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)``805780
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``806208
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``806299
omonom`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``806397
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``806504
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``806571
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``806612
omonomial?`1`x`(_$)->Boolean`cFreeModuleCategory(R,S)``806679
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``806766
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``806833
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``806906
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``807070
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``807292
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``807390
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``807435
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``807480
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``807591
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``807704
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``807802
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``807890
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``808022
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``808154
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``808234
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``808400
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``808506
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``808626
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``808685
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``808743
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``808927
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``809012
omonotoneConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``809094
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``809212
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``809377
omonotoneCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`809502
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`809610
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``809819
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``809901
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``810174
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``810447
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``810528
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``810611
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``810739
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``810933
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``811185
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``811441
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``811531
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``811609
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)``811793
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``811968
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``811991
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``812027
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``812114
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``812261
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``812283
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``812391
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``812418
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``812433
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``812463
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``812655
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``812892
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``813066
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``813100
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``813185
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``813236
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``813293
omultiIndex`1`n`(_$)->List(NonNegativeInteger)`cJetBundleCategory``813516
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(--F)``813600
omultifunctionGraph`1`n`(List(Permutation(S)))->_$`dMultifunctionGraph(S)``813651
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->_$`dMultifunctionGraph(S)``813703
omultifunctionGraph`1`n`(List(S))->_$`dMultifunctionGraph(S)``813807
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dMultifunctionGraph(S)``814079
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dMultifunctionGraph(S)``814194
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``814264
omultiple?`1`n`(_$)->Boolean`dPattern(R)``814385
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``814530
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``814836
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``815106
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``815223
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``815393
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``815610
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``815835
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``815971
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``816142
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``816270
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``816392
omultiset`0`x`()->_$`dMultiset(S)``816539
omultiset`1`x`(List(S))->_$`dMultiset(S)``816620
omultiset`1`x`(S)->_$`dMultiset(S)``816696
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``816766
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``816869
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``816972
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``817107
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``817242
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``817296
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``817377
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``817478
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(_$)->V`cRecursivePolynomialCategory(R,E,V)``817617
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``817808
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``817960
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``817999
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``818026
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``818562
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``819098
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``819651
oname`1`n`(_$)->Symbol`cJetBundleCategory``820204
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``820274
oname`1`n`(_$)->Symbol`dKernel(S)``820315
oname`1`n`(_$)->Symbol`dRuleCalled(f)``820379
oname`1`x`(_$)->Name`cFileCategory(Name,S)``820420
oname`1`x`(_$)->String`cFileNameCategory``820490
oname`1`x`(_$)->Symbol`dBasicOperator``820552
oname`1`x`(_$)->_$`dSymbol``820606
onamedBranch`2`n`(List(_$),List(String))->_$`dSceneNamedPoints(PT)``820666
onamedPoints`2`n`(List(PT),List(String))->_$`dSceneNamedPoints(PT)``820748
onamedPoints`2`n`(List(Scene(PT)),List(String))->_$`dSceneNamedPoints(PT)``820823
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``820897
onand`2`x`(_$,_$)->_$`dBoolean``820996
onary?`1`x`(_$)->Boolean`dBasicOperator``821078
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``821142
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``821306
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``821470
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``821669
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``821746
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``821823
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``821898
onegative?`1`x`(_$)->Boolean`cOrderedRing``822013
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``822088
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``822188
onewLine`0`x`()->String`pDisplayPackage``822292
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``822352
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``822391
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``822498
onew`0`n`()->_$`dHashState``822542
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``822586
onew`0`n`()->_$`dPatternMatchResult(R,S)``822640
onew`0`n`()->_$`dSubSpace(n,R)``822694
onew`0`n`()->_$`dSubSpaceComponentProperty``822728
onew`0`x`()->_$`dScriptFormulaFormat``822762
onew`0`x`()->_$`dSymbol``822937
onew`0`x`()->_$`dTexFormat``823005
onew`1`x`(_$)->_$`dSymbol``823176
onew`2`n`(List(C),Integer)->_$`dSparseEchelonMatrix(C,D)``823253
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``823441
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``823543
onew`3`x`(String,String,String)->_$`cFileNameCategory``823641
onewline`0`x`()->_$`dCharacter``823959
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``824015
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``824377
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``824716
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Union(_$,"failed")`cStepThrough``825423
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``825510
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``825954
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``826790
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``827784
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``828192
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``828600
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``828684
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``829745
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``830569
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``830665
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``831722
onext_subResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`831876
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``832094
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``832290
onil`0`x`()->_$`dList(S)``832445
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`832489
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``832798
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``832898
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)`833141
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``833273
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``833400
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``833522
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``833619
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``833745
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``833866
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)``834011
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``834092
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``834132
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`834261
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``834390
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``834491
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``834592
onor`2`x`(_$,_$)->_$`dBoolean``834689
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``834769
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``834810
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``834853
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)``834953
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``835084
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``835146
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``835209
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``835327
onorm`1`x`(_$)->R`cComplexCategory(R)``835469
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``835530
onorm`1`x`(_$)->R`cOctonionCategory(R)``835645
onorm`1`x`(_$)->R`cQuaternionCategory(R)``835755
onorm`1`x`(_$)->_$`cRealNumberSystem``835851
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``835908
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``836039
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``836171
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``836253
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``836350
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``836487
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``836625
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``836756
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``836888
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``837025
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`837163
onormal01`0`n`()->Float`pRandomFloatDistributions``837467
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``837506
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``837671
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`837769
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``838052
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``838187
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`838289
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``838737
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`838847
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``839023
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``839271
onormalisePoint`1`n`(_$)->_$`dSConformal(n)``839314
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``839409
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``839574
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``839646
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``839754
onormalize`1`x`(_$)->_$`dFloat``839874
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``839943
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``840087
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``840178
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,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``840355
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``840549
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``840674
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``840842
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``841127
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`841330
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``841533
onot`1`x`(_$)->_$`cBitAggregate``841589
onot`1`x`(_$)->_$`dBoolean``841667
onot`1`x`(_$)->_$`dSingleInteger``841721
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``841815
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)``841898
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``842484
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``842558
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``842632
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``842704
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``842742
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``842826
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``842912
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``842998
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dOrderedFreeMonoid(S)``843084
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``843177
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``843394
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``843479
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``843564
onthFactor`2`n`(_$,Integer)->S`dOrderedFreeMonoid(S)``843649
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``843741
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``844023
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``844104
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``844329
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``844499
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``844613
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``844924
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``844995
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``845054
onullBoundary`0`n`()->_$`dSBoundary(PT)``845135
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`845260
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`845346
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``845432
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`845646
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`845732
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`845818
onull`1`x`(_$)->Boolean`dList(S)``845905
onullary?`1`x`(_$)->Boolean`dBasicOperator``845969
onullary`1`x`(A)->()->A`pMappingPackage1(A)``846027
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``846111
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`846244
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`846377
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`846510
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``846643
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``846710
onumFunEvals`0`n`()->Integer`dPlot``846779
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``846845
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`846914
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``846969
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``847017
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``847109
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``847201
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``847396
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``847862
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``848041
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``848143
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``848336
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``848625
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``848711
onumberOfHues`0`x`()->PositiveInteger`dColor``848852
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``848935
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``849457
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``849630
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCategory(R,S)``849728
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``849808
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``849919
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``850065
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumerJP`1`n`(_$)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``850217
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``850288
onumer`1`n`(_$)->M`dLocalize(M,R)``850345
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``850402
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``850512
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``850596
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``850667
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`850777
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``851016
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`851077
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``851155
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``851241
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`851439
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`851556
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`851673
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`851790
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`851942
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`852094
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`852246
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`852313
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`852380
onumeric`1`x`(S)->Float`pNumeric(S)``852447
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`852514
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`852616
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`852718
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``852820
oobj`1`x`(_$)->None`dAny``852922
oobjectOf`1`x`(_$)->OutputForm`dAny``853074
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``853186
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``853417
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``853764
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``853875
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`853985
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``854052
oodd?`1`x`(_$)->Boolean`dPermutation(S)``854126
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``854259
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``854410
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``854561
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``854712
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``854863
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``854933
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``855259
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``855636
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``855726
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``855853
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``856009
oomega`0`n`()->_$`dSmallOrdinal``856077
oomegapower`1`n`(_$)->_$`dSmallOrdinal``856129
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cJetBundleCategory``856173
oone?`1`x`(_$)->Boolean`cMonadWithUnit``856266
oone?`1`x`(_$)->Boolean`cMonoid``856326
oone?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``856381
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``856487
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``856574
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``856674
oone`1`x`(Boolean)->_$`dGuessOption``856764
oopType`1`n`(_$)->Symbol`dILogic``856889
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``857075
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``857148
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``857223
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``857287
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``857404
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``857490
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``857722
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``857892
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``857982
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``858154
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``858233
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``858345
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``858459
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``858637
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``858706
ooperator`1`x`(Symbol)->_$`dBasicOperator``858818
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``858898
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``858975
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``859092
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(_$,_$)->Boolean`cAbelianMonoid``859145
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``859231
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``859432
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``859621
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``859764
ooptional?`1`n`(_$)->Boolean`dPattern(R)``859831
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``859935
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``860109
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``860248
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``860476
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``860705
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``861000
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``861286
oor`2`n`(_$,_$)->_$`dOutputForm``861402
oor`2`x`(_$,_$)->_$`cBitAggregate``861458
oor`2`x`(_$,_$)->_$`dBoolean``861549
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``861643
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``861851
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``862040
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``862231
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``862337
oord`1`x`(_$)->Integer`dCharacter``862472
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorderDim`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``862613
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``862832
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``862869
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``862906
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``862943
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``862980
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``863074
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``863173
oorder`1`n`(_$)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``863329
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``863410
oorder`1`x`(_$)->Integer`cFloatingPointSystem``863566
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``863686
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``863892
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``864009
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``864105
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``864192
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``864257
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``864380
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``864516
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``864603
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``864724
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``864850
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`865005
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``865172
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``865219
oordinalAdd`2`n`(_$,_$)->_$`dSmallOrdinal``865292
oordinalMul`2`n`(_$,_$)->_$`dSmallOrdinal``865382
oordinalPower`2`n`(_$,_$)->_$`dSmallOrdinal``865476
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`865641
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`865726
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``865811
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``865976
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`866079
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``866225
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``866630
ooutputAsFortran`1`n`(FileName)->Void`pFortranPackage``866737
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``866787
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``866873
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``867043
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``867117
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``867269
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``867457
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``867609
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``867770
ooutputFixed`0`x`()->Void`dFloat``867894
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``868009
ooutputFloating`0`x`()->Void`dFloat``868142
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``868325
ooutputForm`1`n`(Integer)->_$`dOutputForm``868480
ooutputForm`1`n`(String)->_$`dOutputForm``868546
ooutputForm`1`n`(Symbol)->_$`dOutputForm``868611
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``868676
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``868859
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``868981
ooutputGeneral`0`x`()->Void`dFloat``869575
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``869766
ooutputList`1`x`(List(Any))->Void`pOutputPackage``869882
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``870092
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlAttribute``870232
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlElement``870510
ooutput`1`x`(OutputForm)->Void`pOutputPackage``870786
ooutput`1`x`(String)->Void`pOutputPackage``870934
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``871077
oover`2`n`(_$,_$)->_$`dOutputForm``871255
ooverbar`1`n`(_$)->_$`dOutputForm``871350
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``871418
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``871513
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dOrderedFreeMonoid(S)``871722
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``871937
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``872080
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``872166
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``872254
opack!`1`x`(_$)->_$`dLibrary``872340
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``872426
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MPT,MD)``872503
opack_modulus`3`n`(List(Polynomial(Integer)),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MPT,MD)``872676
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``872839
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``872928
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``873055
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``873281
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``873593
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``873915
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``874239
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``874504
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``874649
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))`874728
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))`874918
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))`875177
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)``875313
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)``875797
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``876346
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``876769
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)``877037
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``877480
opalgextintegrate`5`n`(R,(UP)->UP,UPUP,Fraction(UP),Fraction(UP))->Union(Record(ratpart:R,coeff:F),"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``877699
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``878027
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``878229
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``878412
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``878737
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``878868
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)``879018
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)``879435
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)``879922
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``880265
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``880513
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``880721
oparallel`2`n`(_$,_$)->DoubleFloat`cSPointCategory``880980
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``881188
oparametric?`1`n`(_$)->Boolean`dPlot``881277
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``881347
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``881475
oparen`1`x`(List(_$))->_$`cExpressionSpace``881550
oparen`1`x`(_$)->_$`cExpressionSpace``881849
oparent`1`n`(_$)->_$`dSubSpace(n,R)``882072
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``882255
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``882506
oparseIL`1`n`(String)->_$`dILogic``882655
oparseLambda`1`n`(String)->_$`dLambda(UT)``882867
oparseSki`1`n`(String)->_$`dSKICombinators(UT)``883452
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dLambda(UT)``883496
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dSKICombinators(UT)``883653
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`cVarCat``883804
oparseVar`1`n`(String)->_$`cVarCat``883933
oparse_integer`1`n`(String)->Integer`pScanningUtilities``883981
oparse`1`n`(String)->_$`dInputForm``884060
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``884142
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``884394
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``884547
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``884713
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``884949
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``885195
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``885452
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``885663
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``885880
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``886077
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``886279
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`886329
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`886543
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`886735
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`886949
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``887141
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``887246
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``887351
opartition`1`n`(List(Integer))->_$`dPartition``887695
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``887783
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``887964
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``888037
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``888212
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``888420
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`888505
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``888662
opastel`1`x`(Color)->_$`dPalette``888815
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)``888911
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)``889178
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`889496
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``889701
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``889896
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``890082
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``890290
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`890473
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``890662
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)``890853
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``891074
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``891383
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``891646
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``892035
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``892232
opdct`1`n`(_$)->Integer`dPartition``892335
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``892484
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``892605
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``892771
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``892914
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``893042
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``893153
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``893232
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``894500
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``894612
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``894832
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``895100
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``895345
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``895534
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``895701
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``895850
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``896011
operpendicular`2`n`(_$,_$)->_$`cSPointCategory``896129
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``896338
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``896593
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``896849
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``896969
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``897071
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``897128
opi`0`x`()->_$`cTranscendentalFunctionCategory``897269
opi`0`x`()->_$`dPi``897327
opile`1`n`(List(_$))->_$`dOutputForm``897387
opivot`2`n`(_$,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``897587
opivots`1`n`(_$)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``897719
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``897823
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``897984
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``898372
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``898845
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``899072
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``899295
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``899408
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``899530
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``899624
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``899763
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``899804
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``899845
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``899996
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``900157
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``900363
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``900448
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``900578
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``900764
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``901029
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``901104
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``901300
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``901352
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``901400
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`901520
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``901621
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))`901750
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))`901972
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))`902108
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``902265
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``902338
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``902502
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``902590
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``902700
opointColor`1`x`(Float)->_$`dDrawOption``902929
opointColor`1`x`(Palette)->_$`dDrawOption``903072
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``903243
opointList`1`n`(_$)->List(PT)`dSceneIFS(PT)``903363
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``903432
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``903492
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``903654
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``903845
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``904015
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``904299
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``904360
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``904450
opoint`1`x`(List(R))->_$`cPointCategory(R)``904550
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``904663
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``904783
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``904963
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``905222
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``905387
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``905632
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``905990
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``906238
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``906508
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``906599
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``906638
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``907116
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`907229
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``907344
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``907559
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``907698
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``907773
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``907840
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``908409
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``908814
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``909234
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``909296
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``909392
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``909476
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``909560
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``909700
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``909850
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``910045
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``910274
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``910645
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``910824
opolylog`2`x`(_$,_$)->_$`cSpecialFunctionCategory``910905
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``910987
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``911111
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``911235
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``911389
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``911543
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``911582
opop!`1`x`(_$)->S`cStackAggregate(S)``911750
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``911962
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``912030
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``912106
oposition`1`x`(_$)->SingleInteger`dBinaryFile``912185
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``912267
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,BasicType)`912456
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``912615
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,BasicType)`912746
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``912937
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``913084
opositive?`1`x`(_$)->Boolean`cOrderedRing``913199
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``913277
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)``913377
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``913508
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``913634
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``913730
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``913856
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``913952
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``914809
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``915008
opostfix`2`n`(_$,_$)->_$`dOutputForm``915177
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``915253
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``915308
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``915342
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``915491
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``915776
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``915882
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`915970
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`916062
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``916143
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``916437
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``916522
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``916677
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``916816
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``916875
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``917025
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``917128
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``917231
oprecision`0`n`()->PositiveInteger`dMachineFloat``917358
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``917426
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``917490
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`917568
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``917653
opredicates`1`n`(_$)->List(Any)`dPattern(R)``917806
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``917948
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``918128
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``918346
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``918496
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``918652
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)``918792
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)``918907
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``919022
opresub`2`n`(_$,_$)->_$`dOutputForm``919131
opresuper`2`n`(_$,_$)->_$`dOutputForm``919216
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``919305
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``919395
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``919479
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`919651
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`919753
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``919901
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``920017
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``920098
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``921303
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``921365
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``921529
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``921680
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``921771
oprime`1`n`(_$)->_$`dOutputForm``921869
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``921961
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``922044
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)``922135
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``922491
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``922742
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``922954
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``923158
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``923307
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``923551
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``923751
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``924037
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`924490
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``924844
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``925302
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``925682
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`925883
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)`925956
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``926079
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`926202
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`926326
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`926457
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`926656
oprimitiveRowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`926823
oprimlogint`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)``927205
oprimlogintfrac`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)``927589
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``927807
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``927841
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``927921
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``928151
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``928189
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``928229
oprintCode`1`n`(_$)->Void`dFortranCode``928268
oprintHeader`0`n`()->Void`dTheSymbolTable``928336
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``928484
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``928630
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``928776
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`n`(List(OutputForm))->_$`dFortranCode``928991
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``929070
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``929121
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``929275
oprintTypes`1`n`(_$)->Void`dSymbolTable``929396
oprint`1`n`(_$)->Void`dOutputForm``929517
oprint`1`x`(OutputForm)->Void`pPrintPackage``929566
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``929677
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``929797
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``929971
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``930098
oprod`1`n`(_$)->_$`dOutputForm``930211
oprod`2`n`(_$,_$)->_$`dOutputForm``930299
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``930419
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``930580
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``930688
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``930844
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``930952
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``931108
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``931595
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``931879
oproject`2`n`(_$,NonNegativeInteger)->_$`dJetDifferentialEquation(JB,D)``931967
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``932119
oprojection`1`n`(_$)->Union(_$,"failed")`dCell(TheField)``932181
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``932257
oprologue`1`x`(_$)->List(String)`dScriptFormulaFormat``932607
oprologue`1`x`(_$)->List(String)`dTexFormat``932695
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``932775
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``932899
oprolong`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``932975
oprolong`2`n`(_$,NonNegativeInteger)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``933111
oprolong`2`n`(_$,NonNegativeInteger)->_$`dJetVectorField(JB,D)``933240
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``933368
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``933469
oproposition`1`n`(String)->_$`dILogic``933598
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``933630
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`933716
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``933915
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`934128
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MPT,MD)``934322
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``934425
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)``934664
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)``934793
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)``934946
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)``935100
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``935248
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)``935478
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``935655
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)``935897
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``936075
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``936318
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``936530
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``936789
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``937056
optree`1`x`(S)->_$`dPendantTree(S)``937158
optree`2`x`(_$,_$)->_$`dPendantTree(S)``937205
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``937247
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``937430
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``937500
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``937615
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``937860
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``937916
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``938090
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``938338
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``938584
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``938724
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``939068
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``939211
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``939410
opurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``939561
opush!`2`x`(S,_$)->S`cStackAggregate(S)``939692
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``939957
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``940043
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``940129
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``940177
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``940224
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``940370
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``940519
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``940663
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``940795
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``940841
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``940886
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``941040
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``941247
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``941696
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``941914
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``942163
oqcoerce`1`x`(Integer)->_$`dNonNegativeInteger``942496
oqcoerce`1`x`(Integer)->_$`dPositiveInteger``942589
oqconvert`1`x`(Integer)->_$`dSingleInteger``942679
oqcumulant2nthmoment`3`n`(R,Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``942773
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``942910
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``943216
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``943416
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``943594
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``943706
oqlog`1`x`(_$)->_$`dDoubleFloat``943835
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``943927
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``944004
oqnew`2`n`(Integer,Integer)->_$`dComplexDoubleFloatMatrix``944081
oqnew`2`n`(Integer,Integer)->_$`dDoubleFloatMatrix``944165
oqnew`2`n`(Integer,Integer)->_$`dU16Matrix``944249
oqnew`2`n`(Integer,Integer)->_$`dU32Matrix``944333
oqnew`2`n`(Integer,Integer)->_$`dU8Matrix``944417
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``944501
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``944577
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`944674
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``944891
oqsetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`945077
oqsetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`945209
oqsqrt`1`x`(_$)->_$`dDoubleFloat``945331
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``945419
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``945519
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``945605
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``945646
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``945697
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``945736
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``945795
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``945999
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``946151
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``946326
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``946504
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``946585
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``946666
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``946737
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``946808
oqueue`1`x`(List(S))->_$`dQueue(S)``946886
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``947051
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``947176
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``947443
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``947500
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``947612
oquote`0`x`()->_$`dCharacter``947709
oquote`1`n`(_$)->_$`dOutputForm``947780
oquoted?`1`n`(_$)->Boolean`dPattern(R)``947850
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``947941
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``948168
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``948243
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``948398
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``948505
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``948576
orCoord`1`n`(Point(R))->R`pPointPackage(R)``948647
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``948918
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``948938
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``948959
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``948979
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``948999
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``949020
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``949040
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``949168
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``949322
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``949523
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``949704
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``949942
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``950097
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``950271
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``950589
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``950786
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``950952
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``951163
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``951354
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``951526
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``951722
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``951915
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``952142
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``952210
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``952295
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``952457
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``952524
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``952594
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``952661
orandnum`0`x`()->Integer`pRandomNumberSource``952764
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``952829
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``952897
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``952961
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``953017
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``953077
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->_$`cFinite``953139
orandom`0`x`()->_$`cIntegerNumberSystem``953201
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`953279
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``953358
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``953488
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``953572
orandom`1`x`(_$)->_$`cIntegerNumberSystem``953711
orandom`1`x`(_$)->_$`dInteger``953782
orandom`1`x`(_$)->_$`dNonNegativeInteger``953853
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``953924
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``954101
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``954210
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``954290
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``954409
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``954534
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``954659
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``954827
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``954959
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``955166
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``955421
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``955475
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``955548
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``955610
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``955673
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`955774
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`955837
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`955900
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``955963
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``956106
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``956223
orarrow`2`n`(_$,_$)->_$`dOutputForm``956340
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``956415
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``956553
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``956671
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``956812
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``956945
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``957269
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``957526
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``957850
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``958107
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``958235
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`958342
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``958409
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`958510
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`958626
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`958822
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`958942
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`959016
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``959090
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``959227
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``959364
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``959544
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`959722
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`959866
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)``960033
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`960152
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``960274
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`960379
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`960494
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`960719
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`960829
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`960941
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``961054
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``961137
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``961220
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`961303
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``961386
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``961484
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``961578
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)``961615
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`961724
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``961834
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`961922
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`962042
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`962253
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`962413
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`962530
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``962645
oratpart`1`n`(_$)->F`dIntegrationResult(F)``962747
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``962824
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``962945
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``962984
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)``963033
oread!`1`x`(_$)->S`cFileCategory(Name,S)``963106
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``963270
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``963465
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``963660
oreadLine!`1`x`(_$)->String`dTextFile``963873
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``963967
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``964184
oreal?`1`n`(_$)->Boolean`dFortranScalarType``964275
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``964361
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``964426
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``964491
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``964707
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``964993
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``965149
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``965344
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``965617
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``965907
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``966026
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``966346
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``966442
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``966722
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``966828
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``967039
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``967156
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``968079
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``968210
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``968341
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``968502
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``968663
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``968859
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``969055
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``969284
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``969513
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``969607
oreal`1`x`(_$)->R`cComplexCategory(R)``969701
oreal`1`x`(_$)->R`cOctonionCategory(R)``969754
oreal`1`x`(_$)->R`cQuaternionCategory(R)``969817
orecip`0`n`()->_$`dMoebiusTransform(F)``969886
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`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)``969993
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``970096
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``970133
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``970170
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`970214
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``970447
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``970649
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``970789
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)``970903
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``971076
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``971166
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``971336
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``971434
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``971521
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``971585
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``971688
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``971813
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``971936
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``972012
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``972046
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``972081
ored`0`x`()->_$`dColor``972274
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``972347
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``972487
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``972604
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``972769
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``972885
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``973000
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduceMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``973359
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``973459
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)->_$`dModMonic(R,Rep)``973546
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``973584
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``973734
oreduce`1`n`(_$)->_$`dJetBundleExpression(JB)``973863
oreduce`1`n`(_$)->_$`dJetBundleXExpression(JB)``973919
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`973979
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``974063
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``974216
oreduce`1`x`(_$)->_$`dAlgebraicNumber``974347
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`974476
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``974608
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``974651
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``974694
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`974737
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``975067
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``975236
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``975629
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``975983
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``976331
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``976500
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``976642
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``976790
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``977132
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`977466
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``977860
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`978093
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``978484
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``979048
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``979167
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``979261
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``979494
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``979823
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``979875
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``980135
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``980305
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``980443
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)``980603
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``980768
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``980964
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``981128
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``981239
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``981326
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``981437
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``981622
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``981803
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``981843
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``981883
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``981992
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``982103
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``982270
oreductum`1`x`(_$)->_$`cMonoidRingCategory(R,M)`has(M,OrderedSet)`982396
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``982462
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``982588
oredux`1`n`(_$)->_$`dILogic``982720
oredux`1`n`(_$)->_$`dLambda(UT)``982874
oredux`1`n`(_$)->_$`dSKICombinators(UT)``982945
oref`1`n`(S)->_$`dReference(S)``983053
orefine`1`n`(_$)->_$`dPlot3D``983128
orefine`1`n`(_$)->_$`dPlot``983166
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``983233
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``983314
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``983733
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``983778
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``983821
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``983864
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``984047
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``984230
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``984538
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``984846
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``985705
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``985987
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``986225
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``986497
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`986783
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``986895
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``987003
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``987131
orelerror`2`x`(_$,_$)->Integer`dFloat``987261
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``987380
orem`2`x`(_$,_$)->_$`cEuclideanDomain``987437
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``987550
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``987620
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`987648
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``987953
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``988185
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`988251
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``988395
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``988519
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`988711
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`988840
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``988927
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``989228
oremoveChild!`2`n`(_$,_$)->Void`dScene(PT)``989481
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`989582
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``989694
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``989871
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`990052
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``990135
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`990237
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`990327
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`990620
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`990969
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``991290
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``991981
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``992271
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``992562
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``992667
oremoveRepeats!`1`n`(_$)->_$`dIndexedFlexibleArray(S,mn)``992884
oremoveRepeats!`1`x`(_$)->_$`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`993006
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``993350
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``993504
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``993793
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``994073
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``994250
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``994431
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``994592
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``994697
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``994802
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``994981
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``995160
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``995424
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``995988
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``996527
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``996642
oremoveZeros`2`n`(_$,Expon)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``997109
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``997218
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``997262
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)``997604
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`997796
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``997979
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`998172
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``998324
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``998610
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``998848
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``998917
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``998988
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``999181
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``999325
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``999469
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``999613
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MPT,MD)``999746
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``999904
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``1000107
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeatedIndex`1`n`(_$)->List(PositiveInteger)`cJetBundleCategory``1000189
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`1000303
orepeating`1`x`(List(S))->_$`dStream(S)``1000441
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``1000525
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``1000726
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1000834
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))->_$`cFiniteAlgebraicExtensionField(F)``1000991
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``1001145
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``1001299
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``1001470
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``1001569
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``1001693
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1001797
oresetBadValues`1`n`(_$)->_$`dPattern(R)``1001871
oresetNew`0`x`()->Void`dSymbol``1002031
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1002158
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``1002282
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``1002498
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``1002718
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1002762
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1002885
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1003136
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)``1003391
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``1003524
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``1003588
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``1003665
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1003829
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)``1003969
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1004091
oresultantEuclidean_naif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1004296
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1004440
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1004551
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1004710
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant_naif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1004804
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1004939
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1005018
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1005114
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1005328
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1005430
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oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``1005569
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1005698
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1006040
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1006169
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1006511
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1006853
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``1006897
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1007026
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``1007368
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1007497
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1007839
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleXExpression(JB)``1007927
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008049
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008178
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008307
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008436
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008565
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1008694
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``1008823
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oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1009294
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oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(_$,"failed")`cRetractableFrom(S)``1009765
oretractIfCan`1`n`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1009903
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010177
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010306
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010435
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010564
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010693
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1010822
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1010951
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1011117
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1011241
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`1011365
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`1011489
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`1011613
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`1011737
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``1011861
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->_$`cFortranFunctionCategory``1012011
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1012135
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``1012464
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1012588
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1012917
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``1013246
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1013370
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``1013699
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1013823
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1014152
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleXExpression(JB)``1014279
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``1014406
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``1014530
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``1014654
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``1014778
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``1014902
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``1015026
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``1015150
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1015274
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``1015603
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1015727
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``0
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->_$`cRetractableFrom(S)``1016056
oretract`1`n`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1016179
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``1016440
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``1016564
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``1016688
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``1016812
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``1016936
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``1017060
oretract`1`n`(_$)->List(D)`dJetDifferentialEquation(JB,D)``1017184
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1017275
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1017439
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1017603
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`1017767
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`1017931
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`1018095
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`1018259
oretract`1`x`(_$)->S`cRetractableTo(S)``1018423
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``1018558
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1018664
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``1018791
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``1018870
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1018949
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1019045
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1019143
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1019267
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``1019394
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1019521
oreturns`0`n`()->_$`dFortranCode``1019610
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``1019690
oreturns`1`n`(Expression(Float))->_$`dFortranCode``1019793
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``1019896
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``1019999
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``1020102
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``1020205
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)``1020308
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``1020418
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`1020591
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1020670
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1020867
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1020936
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``1021155
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1021239
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1021345
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``1021532
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1021727
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1022033
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1022436
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1022720
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1023317
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``1024145
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``1024201
orhs`1`x`(_$)->S`dEquation(S)``1024272
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1024347
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1024461
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1024575
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1024796
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1024963
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1025184
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1025351
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1025625
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1025899
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1025954
oriemannZeta`1`x`(_$)->_$`cSpecialFunctionCategory``1026012
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1026071
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1026298
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1026525
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1026685
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1027058
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``1027431
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1027747
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1027957
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1028214
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1028325
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``1028443
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1028500
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1028790
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1029031
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1029233
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``1029469
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1029598
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`1029698
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`1029757
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``1029816
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``1030015
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1030214
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1030409
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1030507
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1030748
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1030989
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1031156
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``1031378
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1031569
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1031743
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1032049
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1032245
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1032442
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1032732
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1033022
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1033238
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``1033333
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1033509
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1033706
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1033833
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1033958
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`1034084
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``1034143
oright`1`n`(_$)->_$`dMagma(VarSet)``1034276
oright`1`n`(_$)->_$`dOutputForm``1034404
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1034473
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``1034548
oright`2`n`(_$,Integer)->_$`dOutputForm``1034596
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)``1034686
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)``1035065
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1035401
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1035626
orisch_de_ext`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,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1035849
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1036237
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1036895
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1037170
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1037515
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1038027
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1038554
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1039039
oroman`1`x`(Integer)->_$`dRomanNumeral``1039149
oroman`1`x`(Symbol)->_$`dRomanNumeral``1039210
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1039278
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1039984
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1040684
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1040721
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1040818
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1041055
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1041128
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1041335
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1041585
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1041709
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1041777
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1041901
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1042017
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1042129
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1042245
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1042336
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1042452
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1042572
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1042745
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1042901
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1043130
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1043345
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1043471
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1043698
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1043925
orootSum`3`x`(_$,SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(_$)->_$`dOutputForm``1043963
oroot`2`n`(_$,_$)->_$`dOutputForm``1044038
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1044122
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1044253
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1044539
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1044769
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1045060
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1045308
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1045556
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1045750
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1045993
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1046355
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1046453
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1046551
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1046649
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1046807
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1046923
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1047115
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1047332
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1047464
orouteArrowWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1047528
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1047635
orouteNodeWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1047842
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1047948
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1048153
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1048321
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1048428
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1048618
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1048751
orowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1048832
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1049134
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1049215
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1049296
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1049377
orowMatrix`2`n`(M,PositiveInteger)->M`pMatrixManipulation(R,Row,Col,M)``1049670
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1049778
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1049926
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1049994
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1050065
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1050150
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1050276
orows`2`n`(M,List(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``1050395
orows`2`n`(M,Segment(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``1050488
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1050581
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1050666
orquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1050861
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1051046
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1051131
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1051216
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1051301
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1051399
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1051496
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1051592
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1051782
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1054411
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1054556
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1054952
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1055016
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1055104
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1055169
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1056315
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1056799
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1056956
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``1056989
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1057001
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1057136
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1057287
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1057442
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1057641
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``1057708
osamplePoint`1`n`(_$)->List(TheField)`dCell(TheField)``1057862
osamplePoint`1`n`(_$)->TheField`dSimpleCell(TheField,ThePols)``1057928
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`x`()->_$`cAbelianMonoid``1057994
osample`0`x`()->_$`cAggregate``1058041
osample`0`x`()->_$`cMonoid``1058088
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1058135
osample`0`x`()->_$`dSymbol``1058188
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1058234
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1058346
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1058491
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1058725
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1058873
osave`0`n`()->_$`dFortranCode``1059042
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1059109
osayLength`1`x`(String)->Integer`pDisplayPackage``1059200
osay`1`x`(List(String))->Void`pDisplayPackage``1059282
osay`1`x`(String)->Void`pDisplayPackage``1059347
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1059403
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1059533
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1059668
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1059740
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1059844
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1059952
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1060053
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1060172
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1060492
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1061188
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1061420
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1061837
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1062168
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1062493
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1062725
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1063049
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1063373
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1063568
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1063677
oscreenCoordX`1`n`(_$)->DoubleFloat`cSPointCategory``1063937
oscreenCoordY`1`n`(_$)->DoubleFloat`cSPointCategory``1064025
oscreenCoordZ`1`n`(_$)->DoubleFloat`cSPointCategory``1064113
oscreenCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``1064203
oscreenResolution3D`0`n`()->Integer`dPlot3D``1064272
oscreenResolution`0`n`()->Integer`dPlot``1064353
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1064416
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1064489
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1064563
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1064919
oscripted?`1`x`(_$)->Boolean`dSymbol``1065120
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1065202
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1065264
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1065402
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1065461
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065669
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1065767
osec`1`n`(F)->F`pElementaryFunction(R,F)``1065854
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1065915
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1065982
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1066049
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1066117
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1066187
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1066240
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1066342
osech`1`n`(F)->F`pElementaryFunction(R,F)``1066431
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1066504
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1066587
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1066670
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1066750
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1066832
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->B`dProduct(A,B)``1066897
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1066961
oseed`0`x`()->Integer`pRandomNumberSource``1067066
osegment`1`x`(S)->_$`dUniversalSegment(S)``1067119
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1067201
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1067405
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1067490
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1067637
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067753
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068002
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068249
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1068454
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1068553
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1068727
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1068906
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1068973
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1069081
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1069276
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1069426
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1069634
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1069831
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1069944
osemiResultantEuclidean_naif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1070098
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1070247
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1070407
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1070624
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1070882
osendGraphImage`1`n`(_$)->Void`dGraphImage``1070985
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1071268
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1071393
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1071545
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1071711
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1071895
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1071935
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)`1072101
osequence`1`n`(Stream(R))->_$`cSequenceCategory(R)``1072238
osequence`2`n`((R)->R,R)->_$`cSequenceCategory(R)``1072306
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1072460
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1072676
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1073048
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1073297
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1073408
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1073844
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1073965
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1074084
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1074233
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1074668
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1074887
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1075126
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1075333
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1075441
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1075871
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1076070
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1076251
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1076351
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1076550
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1076749
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1076810
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1076897
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1077003
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1077246
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1077559
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1077756
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1077921
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1078007
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1078253
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1078444
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1078688
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1078807
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1078920
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1079043
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1079218
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1079306
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1079454
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1079628
osetEpilogue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1079696
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1079806
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1079908
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1080204
osetFormula!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1080395
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1080503
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1080685
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1080836
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1081018
osetLegalFortranSourceExtensions`1`n`(List(String))->List(String)`pFortranPackage``1081102
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1081167
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1081256
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1081342
osetMinPoints`1`n`(Integer)->Integer`dPlot``1081431
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1081517
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1081592
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1081687
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1081862
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1082227
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1082681
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1083288
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1083327
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1083406
osetPrologue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1083526
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1083636
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``1083738
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``1083904
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1084099
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1084245
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1084555
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1084677
osetRow!`4`n`(_$,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1084759
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1084911
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1085005
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1085081
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1085361
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1085478
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1085668
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1085810
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1086166
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1086258
osetTransform!`2`n`(_$,STransform(PT))->Void`dScene(PT)``1086397
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1086495
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1086666
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1086806
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1086947
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1087137
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1087216
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1087338
osetelt!`2`n`(_$,S)->S`dReference(S)``1087473
osetelt!`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1087557
osetelt!`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1087677
osetelt!`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1087794
osetelt!`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1087910
osetelt!`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1088027
osetelt!`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1088146
osetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1088264
osetelt!`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1088460
osetelt!`3`x`(_$,Symbol,Any)->Any`dLibrary``1088578
osetelt!`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`1088705
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(_$,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1088998
osetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1089153
osetelt!`4`x`(_$,Integer,List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1089335
osetelt!`4`x`(_$,Integer,List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1089461
osetelt!`4`x`(_$,List(Integer),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1089676
osetelt!`4`x`(_$,List(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1089802
osetelt!`4`x`(_$,List(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1090149
osetelt!`4`x`(_$,List(Segment(Integer)),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1090291
osetelt!`4`x`(_$,List(Segment(Integer)),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1090506
osetelt!`4`x`(_$,List(Segment(Integer)),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1090713
osetelt!`4`x`(_$,Segment(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1090919
osetelt!`4`x`(_$,Segment(Integer),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1091061
osetelt!`4`x`(_$,Segment(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1091267
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1091417
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1091590
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1091715
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1091810
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1091925
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1092004
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1092139
osetref`2`n`(_$,S)->S`dReference(S)``1092282
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1092343
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1092458
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1092585
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1092666
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1092896
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1092973
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1093053
oshade`1`n`(Point(R))->R`pPointPackage(R)``1093183
oshade`1`x`(_$)->Integer`dPalette``1093512
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1093594
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1093637
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1093684
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1093964
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber--,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(N--onNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1094089
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream--(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1094198
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),S--ymbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(--Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNe--gativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Sp--arseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonN--egativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePo--lynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Ex--pression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1094385
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1094453
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1094545
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1094662
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1094770
oshift`2`x`(_$,Integer)->_$`dFloat``1094871
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1094948
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1095009
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1095072
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1095171
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1095265
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1095399
oshowElements`2`x`(NonNegativeInteger,_$)->OutputForm`dStream(S)`has(S,SetCategory)`1095654
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1095764
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1095836
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1096081
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``1096217
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1096286
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1096559
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1096812
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1096932
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1097144
osierpinskiDivide`2`n`(_$,NonNegativeInteger)->_$`dSceneIFS(PT)``1097289
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1097471
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1097523
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1097575
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1097632
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1097668
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1097749
osign`1`x`(_$)->Integer`cOrderedRing``1097829
osign`1`x`(_$)->Integer`dPermutation(S)``1097944
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1098040
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1098130
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1098260
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1098395
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1098557
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1098783
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(_$),SparseEchelonMatrix(JB,_$),List(_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1098884
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``1099034
osimpleCells`1`n`(_$)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1099127
osimplifyCoeffs`2`n`(FiniteDivisor(F,UP,UPUP,R),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1099259
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1099329
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1099446
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1099657
osimplify`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``1099709
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1099898
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1100202
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1100266
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplify`2`n`(List(_$),SparseEchelonMatrix(JB,_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1100746
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1101207
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1101903
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1102603
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1102701
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1102786
osin`1`n`(E)->_$`dFourierComponent(E)``1102873
osin`1`n`(F)->F`pElementaryFunction(R,F)``1102939
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)``1102998
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1103063
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1103128
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1103194
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1103262
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1103329
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1103380
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1103482
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1103971
osingleFace`1`n`(List(PT))->_$`dSceneIFS(PT)``1104566
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1104663
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1104854
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1105110
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1105177
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1105247
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1105328
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1105430
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1105519
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1105590
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1105671
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1105752
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1105830
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1105910
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1105979
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1106042
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`2`n`(Integer,Integer)->_$`cSPointCategory``1106157
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1106249
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->_$`cSPointCategory``1106358
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1106451
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1106561
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1106638
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1106793
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1106973
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1107153
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1107333
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1107436
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`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1107532
osize`0`x`()->NonNegativeInteger`cFinite``1107596
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1107660
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1107727
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1107794
osize`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``1107866
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1107933
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1108102
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1108144
oski`1`n`(UT)->_$`dSKICombinators(UT)``1108335
oski`2`n`(_$,_$)->_$`dSKICombinators(UT)``1108373
oslash`2`n`(_$,_$)->_$`dOutputForm``1108426
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1108524
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``1108718
osmesh`2`n`(List(List(PT)),Boolean)->_$`dSceneIFS(PT)``1108804
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1108917
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1108979
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1109056
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1109202
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1109223
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1109244
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1109293
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1109331
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1109373
osolveFor`2`n`(_$,JB)->Union(_$,"failed")`cJetBundleFunctionCategory(JB)``1109644
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1109736
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1109886
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)``1110034
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1110457
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1110672
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1110887
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1111136
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``1111562
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1111988
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1112253
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1112578
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``1112843
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1113108
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1113304
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1113500
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1113696
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1113892
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1114095
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1114298
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1114554
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1114764
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1114944
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1114981
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1115191
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1115321
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1115520
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1115657
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1115810
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1115950
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1116128
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1116245
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1116361
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1116546
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1116751
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1116865
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1117046
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1117261
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1117400
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1117541
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1117746
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1117900
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1118115
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1118256
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1118465
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1118613
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1118761
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1118970
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1119179
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1119298
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)``1119446
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1119870
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1120679
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1121441
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1122019
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1122442
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1122865
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1123191
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1123450
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1123745
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1124040
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1124288
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1124473
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,shallowlyMutable),has(S,OrderedSet))`1124535
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`1124613
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osortLD`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1124697
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1124797
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1125081
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)``1125195
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1125297
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`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1125494
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``1125577
osortedPurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1125668
ospace`0`x`()->_$`dCharacter``1125827
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1125879
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1126079
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1126190
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1126271
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1126352
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1126835
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1127212
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1127279
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1127384
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1127652
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1127855
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1127982
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1128171
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1128360
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``1128510
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1128664
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1128882
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1129134
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1129405
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1129741
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1129935
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1130129
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1130220
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1130486
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1130753
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1131566
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1131713
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1131874
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1131964
ospnt`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1132060
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1132152
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1132261
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1132416
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1132495
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1132564
osqrt`1`x`(Integer)->_$`cRealClosedField``1132606
osqrt`1`x`(_$)->_$`cRadicalCategory``1132648
osqrt`1`x`(_$)->_$`cRealClosedField``1132788
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1132830
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1132955
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1133002
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1133177
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1133352
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1133458
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1133551
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1133960
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)`1134131
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1134267
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1134380
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1134903
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`1135018
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1135072
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1135191
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1135277
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1135383
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1135561
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``1135751
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1136004
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1136178
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1136521
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1136615
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1136800
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1136919
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1137090
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1137224
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1137358
ostack`1`x`(List(S))->_$`dStack(S)``1137491
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1137647
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1138332
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1138786
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1138912
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1139018
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1139124
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)``1139230
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1139339
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1139375
ostatistics`0`n`()->Void`pUnittestCount``1139585
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1139726
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1139791
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1139933
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1140037
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1140143
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1140232
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1140505
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1140799
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1140890
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1140981
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1141072
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``1141166
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->_$`dSTransform(PT)``1141233
ostransform`1`n`((PT)->PT)->_$`dSTransform(PT)``1141416
ostransform`1`n`(List(DoubleFloat))->_$`dSTransform(PT)``1141523
ostransform`1`n`(List(List(DoubleFloat)))->_$`dSTransform(PT)``1141590
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->_$`dSTransform(PT)``1141666
ostream`1`n`(_$)->Stream(R)`cSequenceCategory(R)``1141950
ostream`1`x`(()->S)->_$`dStream(S)``1142000
ostream`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``1142151
ostream`2`x`((S)->S,S)->_$`dStream(S)``1142226
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1142464
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1142552
ostring`1`n`(OutputForm)->String`pOutputFormTools``1142641
ostring`1`n`(_$)->_$`dOutputForm``1142754
ostring`1`x`(Integer)->_$`cStringCategory``1142815
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1142898
ostring`1`x`(_$)->String`dSymbol``1143035
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1143138
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1143281
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1143366
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1143612
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1143771
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1143894
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1144151
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)``1144408
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1144699
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1144978
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1145421
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1145864
ostruveH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1145926
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1145989
ostruveL`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1146143
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->_$`dSceneIFS(PT)``1146298
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1146413
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1146473
ostyle`1`x`(String)->_$`dDrawOption``1146618
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1146794
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1146999
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1147099
osubMatrix`3`n`(M,List(PositiveInteger),List(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``1147199
osubMatrix`3`n`(M,Segment(PositiveInteger),Segment(PositiveInteger))->M`pMatrixManipulation(R,Row,Col,M)``1147308
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147417
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1147629
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1147767
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1147945
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1148045
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1148145
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1148288
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1148431
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1148581
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1148748
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1148935
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1149151
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1149264
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1149595
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1149743
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1149886
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1150236
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1150332
osub`2`n`(_$,_$)->_$`dOutputForm``1150428
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),_$,Boolean,Boolean)->Void`cFiniteGraph(S)``1150507
osubdivide`1`n`(_$)->_$`dSceneIFS(PT)``1150786
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1150938
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1151023
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1151141
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1151337
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1151443
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``1151605
osubspace`0`n`()->_$`dSubSpace(n,R)``1151690
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1151729
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1151867
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1152051
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1152264
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1152380
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1152475
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1152635
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``1152768
osubst`3`n`(_$,_$,_$)->_$`dLambda(UT)``1152884
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1152940
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1153107
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1153218
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1153386
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1153512
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1153634
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1153795
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1153903
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1154074
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1154147
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1154282
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1154424
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1154571
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``1154845
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``1154998
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``1155150
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``1155286
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1155369
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1155563
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1155822
osum`1`n`(_$)->_$`dOutputForm``1156056
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1156139
osum`2`n`(_$,_$)->_$`dOutputForm``1156321
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1156436
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1156543
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1156645
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1156722
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1156904
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1156981
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1157163
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1157242
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1157398
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1157504
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1157660
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1157766
osunion`2`n`(_$,_$)->_$`dSBoundary(PT)``1157922
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1158153
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1158365
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1158577
osup`1`x`(_$)->R`cIntervalCategory(R)``1158761
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1158816
osuper`2`n`(_$,_$)->_$`dOutputForm``1158925
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1159008
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1159118
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``1159256
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1159343
osvec`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1159478
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1159571
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`1159681
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159814
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1159955
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1160090
oswap`1`x`(_$)->_$`dEquation(S)``1160160
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1160244
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1160358
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1160491
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1160690
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1160824
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1160912
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1160968
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1161057
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1161173
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1161248
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``1161331
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1161425
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1161538
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1161675
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1161877
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1162079
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1162461
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1162734
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1162940
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1163128
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1163356
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1163564
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1163812
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1163922
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1164027
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1164603
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1165146
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1165364
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1165454
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1165543
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1165702
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1165735
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1165807
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1166013
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1166319
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1166615
otable`1`n`((Key)->SingleInteger)->_$`dXHashTable(Key,Entry)``1166688
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(_$))->TwoDimensionalArray(_$)`dJetVectorField(JB,D)``1167024
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1167113
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1167220
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1167295
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1167385
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)``1167494
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1167622
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1167742
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1167894
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1167992
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1168096
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1168204
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1168291
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1168401
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1168483
otan`1`n`(F)->F`pElementaryFunction(R,F)``1168657
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)``1168719
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1168787
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1168855
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1168924
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1168995
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1169062
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1169116
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1169218
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1169327
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1169416
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)``1169490
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1169574
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1169658
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1169739
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1169822
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1169891
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1169957
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1170176
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1170332
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1170427
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1170546
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1170752
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1170958
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1171164
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1171370
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1171526
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1171707
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1171775
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1171916
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1172003
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1172116
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1172359
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1172544
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1172711
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1172797
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1172982
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1173158
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1173527
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1173626
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1174023
otensor`1`n`(List(B))->_$`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->_$`cTensorPowerCategory(n,R,M)``1174308
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``1174417
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``1174483
oterminal`1`n`(S)->_$`cFiniteGraph(S)``1174581
oterms`1`x`(_$)->List(Record(coef:R,monom:M))`cMonoidRingCategory(R,M)``1174672
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1174832
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1174923
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1175105
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1175285
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1175518
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1175740
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1175857
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1175923
otestEquals`2`n`(String,String)->Void`pUnittest``1176213
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1176488
otestLibraryError`1`n`(String)->Void`pUnittest``1176608
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1176727
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1176931
otestNotEquals`2`n`(String,String)->Void`pUnittest``1177044
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1177143
otestRealEquals`2`n`(String,String)->Void`pUnittest``1177373
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1177589
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1177769
otestTrue`1`n`(String)->Void`pUnittest``1177844
otest`1`x`(_$)->Boolean`dBoolean``1177908
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1178004
otestcase`1`n`(String)->Void`pUnittestCount``1178162
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1178306
otestsuite`1`n`(String)->Void`pUnittestCount``1178468
otex`1`x`(_$)->List(String)`dTexFormat``1178619
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1178689
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1178965
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1179073
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1179276
otitle`1`x`(String)->_$`dDrawOption``1179397
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1179539
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1179744
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1179901
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1180062
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1180112
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1180323
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1180448
otoPermutation`1`n`(_$)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1181301
otoPoint`1`n`(_$)->_$`cSPointCategory``1181398
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1181572
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1181697
otoScale`1`x`(Boolean)->_$`dDrawOption``1182533
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1182763
otoStringConven`2`n`(_$,List(String))->String`dLambda(UT)``1182972
otoStringUnwrapped`1`n`(_$)->String`dILogic``1183263
otoString`1`n`(_$)->String`cVarCat``1183342
otoString`1`n`(_$)->String`dILogic``1183395
otoString`1`n`(_$)->String`dLambda(UT)``1183464
otoString`1`n`(_$)->String`dSKICombinators(UT)``1183683
otoString`1`n`(_$)->String`dSceneNamedPoints(PT)``1183697
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(_$,NonNegativeInteger)->String`cFloatingPointSystem``1183773
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1183886
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1184051
otoVector`1`n`(_$)->_$`cSPointCategory``1184340
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1184507
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1184632
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1185057
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1185189
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1185279
otop`1`x`(_$)->S`cStackAggregate(S)``1185481
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1185651
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1185962
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1186002
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1186042
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1186087
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1186131
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1186264
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1186397
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1186534
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1186677
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1186809
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1187023
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1187127
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1187270
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1187374
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1187638
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1187821
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1188052
otower`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``1188088
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1188225
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1188330
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1188490
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1188659
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1188828
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1188944
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1189067
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1189211
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1189321
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1189458
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1189557
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1189853
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1189901
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1190029
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)``1190153
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1190191
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1190295
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1190382
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1190479
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1190591
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1190817
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1191290
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1191363
otranspose`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1191433
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1191505
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1191764
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1192070
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1192784
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1193492
otree`1`x`(List(S))->_$`dTree(S)``1193839
otree`1`x`(S)->_$`dTree(S)``1193914
otree`2`x`(S,List(_$))->_$`dTree(S)``1193992
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1194084
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1194175
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1194266
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1195321
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1195515
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1195871
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1196255
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1196425
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1196740
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1196869
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1196998
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1197175
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1197363
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1197465
otrue`0`x`()->_$`dBoolean``1197545
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1197587
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1197676
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1197765
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1197854
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1197987
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1198150
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1198270
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1198372
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1198518
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1198712
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1198902
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1199183
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1199454
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1199829
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1200202
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1200340
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1200484
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1200701
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1200916
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1200994
otubeRadius`1`x`(Float)->_$`dDrawOption``1201085
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1201231
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1201446
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1201539
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1201855
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1201957
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1202277
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1202368
otype`1`n`(_$)->Symbol`cJetBundleCategory``1202455
oucodeToString`1`x`(Integer)->_$`dString``1202565
ouentries`1`x`(_$)->List(SingleInteger)`dString``1202708
ounary?`1`x`(_$)->Boolean`dBasicOperator``1203038
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1203092
ounbind`1`n`(_$)->_$`dLambda(UT)``1203143
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1203234
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1203476
oundirectedGraph`1`n`(List(S))->_$`dUndirectedGraph(S)``1203580
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dUndirectedGraph(S)``1203852
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dUndirectedGraph(S)``1203967
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1204037
ouniform01`0`n`()->Float`pRandomFloatDistributions``1204099
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1204139
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1204178
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1204217
ounion`1`n`(List(_$))->_$`dSBoundary(PT)``1204261
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)``1204405
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1204491
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1204561
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1204747
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1204933
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(_$)->Boolean`cEntireRing``1205063
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(_$)->_$`cEntireRing``1205155
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cEntireRing``1205226
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1205540
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1205741
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1205783
ounitVector`1`n`(_$)->_$`cSPointCategory``1205928
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1206058
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1206152
ounit`1`x`(List(Float))->_$`dDrawOption``1206264
ounit`1`x`(_$)->R`dFactored(R)``1206418
ounit`2`n`(List(S),String)->_$`cFiniteGraph(S)``1206485
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1206738
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1206834
ounits`1`n`(_$)->List(Float)`dGraphImage``1206952
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1207137
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1207341
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1207642
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1207896
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1208163
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1208261
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1208420
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1208579
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1208759
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1209007
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1209170
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1209279
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1209452
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1209570
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1209699
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1210503
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1210770
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1210874
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1210978
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1211149
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1211244
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1211451
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1211597
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1211654
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1211693
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1211789
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1211948
ounparse`1`n`(_$)->String`dInputForm``1212242
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1212407
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1212758
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1213293
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1213904
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1214027
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->_$`cUnivariatePolynomialCategory(R)``1214157
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1214285
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1214518
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1214553
oupdate!`2`n`(_$,SingleInteger)->_$`dHashState``1214588
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1214735
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1214861
oupperCase!`1`x`(_$)->_$`cStringAggregate``1215045
oupperCase?`1`x`(_$)->Boolean`dCharacter``1215160
oupperCase`0`x`()->_$`dCharacterClass``1215271
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1215395
oupperCase`1`x`(_$)->_$`dCharacter``1215476
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1215645
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1215774
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1215971
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1216104
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1216311
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1216483
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1216703
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1216838
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1216913
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->SingleInteger`dHashState``1217078
ovalue`1`n`(_$)->Symbol`dILogic``1217158
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1217430
ovalue`1`x`(_$)->Integer`dOrdSetInts``1217493
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1217561
ovalue`1`x`(_$)->String`dQueryEquation``1217624
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1217714
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1217794
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1217871
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1218139
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1218398
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1218566
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1218779
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1219047
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1219306
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1219475
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1219688
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1219756
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1219824
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1219899
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1219974
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1220078
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1220153
ovar`1`n`(String)->_$`cVarCat``1220234
ovar`2`n`(String,ILogic)->_$`cVarCat``1220286
ovariable?`1`n`(_$)->Boolean`dSKICombinators(UT)``1220342
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1220392
ovariableName`1`x`(Symbol)->_$`dGuessOption``1220525
ovariableOf`1`n`(_$)->Symbol`dSimpleCell(TheField,ThePols)``1220689
ovariable`0`n`()->Symbol`dVariable(sym)``1220746
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1220790
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1220863
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1220980
ovariable`1`x`(_$)->Symbol`dQueryEquation``1221079
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1221174
ovariablesOf`1`n`(_$)->List(Symbol)`dCell(TheField)``1221377
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1221444
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(NonNegativeInteger)->List(_$)`cJetBundleCategory``1221560
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1221648
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1221747
ovariables`1`n`(_$)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1221822
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1221932
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1222021
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1222137
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1222215
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1222314
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(_$)`cJetBundleCategory``1222449
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1222576
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1222947
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1223083
ovconcat`1`n`(List(_$))->_$`dOutputForm``1223177
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1223254
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1223337
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1223520
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``1223712
ovector`1`x`(List(R))->_$`dVector(R)``1223776
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1223840
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1224049
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1224186
overtSplit`2`n`(S,List(PositiveInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(_$,List(PositiveInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1224413
overtSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1224608
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1224754
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1224825
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1224945
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1225102
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1225220
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1225375
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1225469
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1225604
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1225812
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1226045
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1226124
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1226232
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1226329
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1226467
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1226590
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1226722
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1226888
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1226969
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1227081
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1227347
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``1227716
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1227941
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1228201
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1228557
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1228963
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1229473
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1229983
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1230130
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1230281
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``1230323
ovoid`0`x`()->_$`dVoid``1230344
ovspace`1`n`(Integer)->_$`dOutputForm``1230389
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1230453
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1230637
oweberE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1230697
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1230758
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1230901
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1231066
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1231222
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1231388
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1231435
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1231537
oweierstrassPPrime`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1231639
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1231738
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1231780
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1231859
oweierstrassP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1231938
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1232018
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1232167
oweierstrassSigma`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1232213
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1232294
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1232456
oweierstrassZeta`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1232501
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1232580
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``1232858
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1233047
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1233179
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1233250
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1233317
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1233390
oweightedDistanceMatrix`1`n`(_$)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1233629
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->_$`dWeightedGraph(S,W)``1233815
oweightedGraph`1`n`(List(S))->_$`dWeightedGraph(S,W)``1233919
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1234191
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1234306
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1234448
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1234518
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1234558
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1234682
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1234917
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1235052
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1235117
owhittakerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1235190
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1235264
owhittakerW`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1235337
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1235411
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1235475
owholePart`1`x`(_$)->R`dPartialFraction(R)``1235684
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1235769
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1235922
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1236081
owidth`1`x`(_$)->R`cIntervalCategory(R)``1236172
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1236227
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1236316
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1236487
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1236694
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1236911
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1237133
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1237300
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1237413
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1237592
owriteLine!`1`x`(_$)->String`dTextFile``1237628
owriteLine!`2`x`(_$,String)->String`dTextFile``1237807
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1237970
owriteObj`2`n`(_$,String)->Void`dScene(PT)``1238033
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1238159
owriteSvgQuantised`2`n`(_$,String)->Void`dScene(PT)``1238194
owriteSvg`2`n`(_$,String)->Void`dScene(PT)``1238317
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1238431
owriteVRML`2`n`(_$,String)->Void`dScene(PT)``1238717
owriteX3d`2`n`(_$,String)->Void`dScene(PT)``1238833
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1238949
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1239168
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1239407
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1239649
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1239954
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1240233
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1240541
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1240823
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1240969
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1241125
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1241248
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1241502
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1241609
oxform`2`n`(_$,PT)->PT`dSTransform(PT)``1241716
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1241799
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1241846
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1241900
oxftestEquals`2`n`(String,String)->Void`pUnittest``1241947
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1241994
oxftestLibraryError`1`n`(String)->Void`pUnittest``1242041
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1242094
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1242141
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1242191
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1242238
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1242289
oxftestTrue`1`n`(String)->Void`pUnittest``1242336
oxmlAttribute`2`n`(String,List(String))->_$`dXmlAttribute``1242381
oxmlAttribute`2`n`(String,String)->_$`dXmlAttribute``1242499
oxmlElement`3`n`(String,List(_$),List(XmlAttribute))->_$`dXmlElement``1242597
oxmlElement`3`n`(String,String,List(XmlAttribute))->_$`dXmlElement``1242707
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1242803
oxor`2`x`(_$,_$)->_$`cBitAggregate``1242860
oxor`2`x`(_$,_$)->_$`dBoolean``1242966
oxor`2`x`(_$,_$)->_$`dSingleInteger``1243065
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1243178
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1243433
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1243558
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1243665
oyellow`0`x`()->_$`dColor``1243772
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1243851
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1243980
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1244117
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1244388
ozag`2`n`(_$,_$)->_$`dOutputForm``1244495
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MPT,MD)``1244596
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1244647
ozero?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1244703
ozero?`1`x`(_$)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1244803
ozero?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1244900
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1244974
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1245070
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1245287
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1245458
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1245545
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1245630
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1245799
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1245961
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1246035
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1246135
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``1246259
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1246490
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1246665
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``1246897
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1247105
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1247323
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1247642
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1247838
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1248178
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1248540
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1248688
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1249205
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1249719
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1250043
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1250411
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1250524
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1250637
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1250692
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1250741
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1250805
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``1250877
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1251232
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1251531
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``1251870
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1252223
ozeta`0`n`()->_$`dDirichletRing(Coef)``1252580
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1252646
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1252687
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1252848
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1252894
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1252945
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1253242
o~=`2`x`(_$,_$)->Boolean`cBasicType``1253298
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`dDirectedGraph(S)``1253363
o~`1`n`(_$)->_$`dMultifunctionGraph(S)``1253673
o~`1`x`(_$)->_$`cLogic``1253983
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1254046
o~`1`x`(_$)->_$`dSingleInteger``1254099
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1254191
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1254287
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1254371
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1254445
pAlgebraicIntegrate`5`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1254480
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1254569
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1254683
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1254798
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1255009
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1255219
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1255306
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1255434
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1255558
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1255676
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1255745
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`1255882
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1255998
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1256112
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1256724
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1256803
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1257074
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1257181
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1257245
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1257342
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1257447
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1257896
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1257985
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1258050
pCommonOperators`0`n`()->etc``COMMONOP`1258214
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1258420
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1258536
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1258768
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1258865
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1258991
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1259068
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1259140
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1259924
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1260298
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1260432
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1260520
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1260980
pCycleIndicators`0`x`()->etc``CYCLES`1261238
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1261275
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1261343
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`0
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`0
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1261379
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1261520
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1261556
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1261668
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1262401
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1262719
pDisplayPackage`0`x`()->etc``DISPLAY`1262839
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1262944
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1263237
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1263314
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1263377
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1263415
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1263542
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`0
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1263814
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1263915
pDrawComplex`0`x`()->etc``DRAWCX`1264018
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1264104
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1264522
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1264558
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1264594
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1264948
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1265078
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1265258
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1265430
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1265545
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1265838
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1265900
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1266063
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1266269
pElementaryRischDEX`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1266337
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1266450
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1267028
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1267126
pErrorFunctions`0`x`()->etc``ERROR`1267202
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1269185
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1270060
pExport3D`0`n`()->etc``EXP3D`1270233
pExportXml`0`n`()->etc``XML`1270329
pExpressionFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`EXPR2`1270387
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1270483
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1270676
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1270857
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1271151
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1271208
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1271332
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1271422
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1271634
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1271939
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1272052
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1272326
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1272383
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`1272545
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1272690
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`1272777
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1272904
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1273080
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1273323
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1273600
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1273767
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1273868
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1274180
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1274269
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1274573
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`0
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1274706
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1275065
pFortranCodePackage1`0`n`()->etc``FCPAK1`1275385
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1276009
pFortranPackage`0`n`()->etc``FORT`1276056
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1276122
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1276231
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1276479
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`1276640
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1276823
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1277090
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`1277136
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1277196
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1277599
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1277717
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1277835
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1277964
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1278126
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1278245
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`0
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1278353
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1278558
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1278605
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1278696
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1279121
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1279546
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1279734
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1279798
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1279906
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1279987
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1280193
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1280267
pGcdBasis`1`n`(Join(GcdDomain,etc))->etc`(R)`GCDBAS`1280337
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1280482
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1281062
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1281281
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1281419
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1281502
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1281665
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1281814
pGnuDraw`0`x`()->etc``GDRAW`1282188
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`1282453
pGraphicsDefaults`0`x`()->etc``GRDEF`1282497
pGrayCode`0`n`()->etc``GRAY`1282591
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1282732
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1283787
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1283941
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1284996
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1285274
pGuessExpBin`5`n`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1285346
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1285445
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1285528
pGuessInteger`0`x`()->etc``GUESSINT`1285607
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1285677
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1285758
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1285848
pGuess`5`x`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1285920
pHallBasis`0`x`()->etc``HB`1286087
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1286661
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1286705
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1286868
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1287177
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1287251
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1287371
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1287478
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1287582
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1287644
pInfinity`0`x`()->etc``INFINITY`1287706
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1287817
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1287957
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1288126
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`1288286
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1288550
pInnerModularHermitePade`0`n`()->etc``IMODHP`1288868
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1289250
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1289520
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1289667
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1289838
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1290438
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1290503
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1290544
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1290728
pIntegerBits`0`n`()->etc``INTBIT`1290771
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1290837
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1290947
pIntegerLinearDependence`1`x`(LinearlyExplicitRingOver(Integer))->etc`(R)`ZLINDEP`1291327
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1291380
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1291461
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1291668
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1291783
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`0
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1291908
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1292090
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1292256
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1292373
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1292539
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1292846
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1293048
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1293227
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`1293300
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1293849
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1293909
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1294492
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1294636
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1295015
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1295419
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1295483
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1295642
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1295782
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`1295842
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1296384
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1296767
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1297630
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitRingOver(S))->etc`(S,R)`LINDEP`1297958
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1297993
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1298164
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1298298
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1298554
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`1298847
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1298922
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1299016
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1299092
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1299240
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1299390
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`1299807
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`1299940
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1299974
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1300359
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1300750
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1300986
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1301047
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1301275
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1301339
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1301475
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1301536
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1301572
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1301608
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1301644
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1301680
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1301716
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1301752
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1301905
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1302058
pMatrixManipulation`4`n`(R:Join(SemiRng,etc),Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1302165
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1302385
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1302437
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1302604
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1302886
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1303116
pModularHermitePade`0`n`()->etc``MODHP`1303209
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1303498
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1303675
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1303780
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1303912
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1303959
pMrvLimitPackage`0`n`()->etc``MRVLIM`1304226
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1304289
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1304370
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`1304656
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1304713
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1304876
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1305142
pNGroebnerPackage`4`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:SolvableSkewPolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`NGROEB`1305535
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1305628
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1305904
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1306219
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1306544
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1306678
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1306989
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1307142
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1307375
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1307548
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1307664
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`1307698
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1307846
pNumberFormats`0`n`()->etc``NUMFMT`1308093
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1308245
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1308310
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1308581
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1308719
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1308953
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1309165
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1309265
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1314062
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1317487
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1317653
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1317718
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1317898
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1318056
pOpenMathPackage`0`x`()->etc``OMPKG`1318160
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1318266
pOperationsQuery`0`x`()->etc``OPQUERY`1318634
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1318716
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1318818
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1318947
pOutputFormTools`0`n`()->etc``OFTOOL`0
pOutputPackage`0`x`()->etc``OUT`1319023
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1319079
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1319631
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1319998
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1320355
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`0
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1320423
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1321516
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1321550
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1321584
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1321618
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1321896
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1322060
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1322117
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1322144
pPatternMatchAssertions`0`x`()->etc``PMASS`1322175
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1322293
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1322369
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1322438
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1322632
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1322700
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`1322766
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1322838
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1322915
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1322985
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1323032
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1323100
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1323160
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1323231
pPermutationGroupExamples`0`x`()->etc``PGE`1323327
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1323732
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1323923
pPlotTools`0`n`()->etc``PLOTTOOL`1324076
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1324119
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1324153
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1324187
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1324288
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1324418
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1324519
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1324600
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1325320
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`1325440
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`1325736
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1325859
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1325893
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1325927
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1326473
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1326766
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1326984
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1327127
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1327453
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1327506
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1327559
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`1327653
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1327728
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1328017
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1328256
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1328687
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1328919
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1329164
pPrimGCD`0`n`()->etc``PRIGCD3`1329341
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1329613
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1329765
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1329863
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1330093
pPrintPackage`0`x`()->etc``PRINT`1330158
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1330222
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1330338
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1331366
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`1331535
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1331628
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1331664
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`1332918
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1333091
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1333288
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`0
pRadicalEigenPackage`0`x`()->etc``REP`1333396
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1333677
pRadixUtilities`0`x`()->etc``RADUTIL`1333849
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1333915
pRandomFloatDistributions`0`n`()->etc``RFDIST`1333964
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1334028
pRandomNumberSource`0`x`()->etc``RANDSRC`1334078
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1334269
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1334916
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1335042
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1335163
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1335449
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1335531
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1335584
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1335656
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1335700
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1335797
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1335878
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1335940
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1336090
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1336204
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1336268
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1336704
pRealSolvePackage`0`n`()->etc``REALSOLV`1336804
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1336921
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1337226
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1337530
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1337704
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`1337886
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`1337987
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1338136
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`1338286
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`1339610
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1339767
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1339821
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1339875
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1340393
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1340962
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1341060
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1341211
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1341345
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pScriptFormulaFormat1`1`x`(SetCategory)->etc`(S)`FORMULA1`1341424
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1341589
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1341691
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1341768
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1341816
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1341962
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1342069
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1342175
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1342223
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1342785
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`0
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1343110
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`1343225
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`1343407
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`1344652
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1344911
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1345210
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1345373
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1345578
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1345639
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1345701
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1345765
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1345944
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1346089
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1346294
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1346457
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1346644
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1346806
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1347076
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1347280
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1347347
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1347553
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1347834
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1347958
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1348827
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1349026
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1349456
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1349509
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1349574
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1349620
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1349764
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1349809
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1349928
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1350043
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1350171
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1350266
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1350340
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1350899
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1351745
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1351796
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1351887
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1352012
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1352181
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1352337
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1352812
pTubePlotTools`0`n`()->etc``TUBETOOL`1352963
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`0
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1353039
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1353152
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1353319
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1353660
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1353789
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1354114
pUnittestCount`0`n`()->etc``TESTCNT`1354254
pUnittest`0`n`()->etc``TESTUNIT`1354535
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1354761
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`0
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1354938
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1355115
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1355258
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1355450
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1355635
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1355781
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1356126
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1356417
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1357092
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1357242
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1357370
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1357546
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1357697
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1357774
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1357840
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1358073
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1358378
pViewportPackage`0`n`()->etc``VIEW`1358466
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1358592
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1359178
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1359540
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1359717
pcompCode`0`n`()->etc``COMPCODE`1361039
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1361923
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1362632
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1362760
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1362881
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1363485
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1363638
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1364158
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1364251
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1364297
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1364352
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1364409
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1364637
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1364755
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1364895
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1365110
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1365209
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1365645
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1365732
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1366052
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1366182
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1366310
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1367636
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1367748
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1370138
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1370195
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1370364
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1370410
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1370774
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1370924
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1371314
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1371471
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1371548
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1371955
xField&`1`n`(Field)->etc`(S)`FIELD-`1372043
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1372265
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1372507
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1372737
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1372908
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-`1374457
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1374687
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1374747
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1374826
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1375070
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1375192
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1375343
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1375546
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1376580
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1376693
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),Join(SemiRng,etc),S:Comparable)->etc`(A,R,S)`FMCAT-`1376971
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1377990
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1378112
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1378343
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1378792
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1378875
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1378954
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1379261
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1379616
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1380167
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1380279
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1380818
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1380878
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1381137
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1381462
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1381528
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1381818
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1382501
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1382935
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1383044
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1383358
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1383423
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1383639
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1384268
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1384534
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1384722
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Join(SemiRng,etc),Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1384818
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1385434
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1385618
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1385685
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1385791
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1386253
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1386363
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1386489
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1386597
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1386793
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1386939
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1387296
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1387518
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1388325
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1388416
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1388550
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1388870
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1388976
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1389094
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1389310
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-`1389613
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1390227
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1390352
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1390490
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1390582
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1390653
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1390747
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1391042
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1391152
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1391381
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1391833
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-`1392312
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1394593
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1394771
xRing&`1`n`(Ring)->etc`(S)`RING-`1394946
xRng&`1`n`(Rng)->etc`(S)`RNG-`1395044
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1395269
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1395599
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1395729
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1396055
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1396327
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1396583
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1396845
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1396949
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`0
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1397070
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1397138
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-`1397199
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1398286
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1398335
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1398890
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1399428
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1399601
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1399897
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1400045
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1400392
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1400692
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1401075
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1401174
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1401594
