Index

Symbols

# Aggregate JLWSAggregate SExpressionCategory Tuple XPolynomialRing * AbelianGroup AbelianMonoid AbelianSemiGroup CartesianTensor Color, [1] DenavitHartenbergMatrix DirectedGraph DirectProductCategory, [1] Equation, [1] ExtendedNMPadicInteger, [1], [2], [3], [4], [5] FreeDivisionAlgebra, [1] FreeGroup, [1] FreeMagma FreeModule, [1] FreeMonoid, [1] FunctionGraph GeneralModulePolynomial GradedModule, [1] IncidenceAlgebra, [1], [2], [3] InnerNMExactCalciumField InnerNormalBasisFieldFunctions InnerTaylorSeries, [1], [2] InputForm JetLazyFunction JLComplexFloat JLFloat JLObjComplexF32 JLObjComplexF64 JLObjectRing JLObjFloat32 JLObjFloat64 JLWSAPComplex JLWSComplex JLWSMatrix, [1], [2], [3], [4], [5] JLWSVector, [1], [2] LeftModule LinearMultivariateMatrixPencil, [1] Magma MappingPackage3 MatrixCategory, [1], [2], [3], [4], [5] MultifunctionGraph NMAcbField NMArbField NMComplexBall NMComplexField NMExactCalciumField NMFiniteField, [1] NMFraction, [1] NMInteger NMIntegerMod, [1] NMMultivariateLaurentPolynomial, [1], [2], [3] NMMultivariatePolynomial, [1], [2], [3] NMPadicInteger, [1], [2], [3], [4], [5] NMPrimeField, [1] NMRealBall NMRealField NMUnivariateLaurentPolynomial, [1], [2], [3] NMUnivariatePolynomial, [1], [2], [3] OutputForm Pattern PolynomialIdeal RightModule SparseEchelonMatrix, [1] SparseMultivariateTaylorSeries SPointCategory SquareMatrixCategory, [1] StreamExponentialSeriesOperations StreamTaylorSeriesOperations, [1], [2] TubePlotTools UndirectedGraph VectorCategory, [1], [2] VectorSpaceBasis WeightedGraph XFreeAlgebra, [1] XPolynomialRing + AbelianSemiGroup Color Database Equation, [1] ExtendedNMPadicInteger, [1], [2], [3], [4], [5] FiniteGraph FreeDivisionAlgebra, [1] FullPartialFractionExpansion GradedModule IncidenceAlgebra InputForm JLWSMatrix JLWSVector MatrixCategory NMMultivariateLaurentPolynomial, [1] NMMultivariatePolynomial, [1] NMPadicInteger, [1], [2], [3], [4], [5] NMUnivariateLaurentPolynomial, [1] NMUnivariatePolynomial, [1] OrderedCompletion OutputForm Pattern PolynomialIdeal SegmentCategory, [1] SPointCategory StreamTaylorSeriesOperations TubePlotTools VectorCategory VectorSpaceBasis - AbelianGroup, [1] CardinalNumber Database Equation, [1] FreeDivisionAlgebra, [1] GradedModule, [1] JLWSMatrix, [1] JLWSVector, [1] MatrixCategory, [1] OrderedCompletion OutputForm, [1] SegmentCategory SPointCategory StreamTaylorSeriesOperations, [1] TubePlotTools VectorCategory, [1] / AbelianMonoidRing Equation ExtensionField Field FloatingPointSystem FreeDivisionAlgebra, [1], [2] FunctionSpace2 Group InnerNMExactCalciumField, [1] InnerNormalBasisFieldFunctions InputForm JLComplexFloat, [1] JLFloat JLObjComplexF32, [1] JLObjComplexF64, [1] JLObjFloat32, [1] JLObjFloat64, [1] JLWSInteger LieAlgebra LocalAlgebra, [1] Localize, [1] MatrixCategory NMAcbField NMArbField NMComplexBall NMComplexField, [1] NMExactCalciumField, [1] NMFraction NMRealBall NMRealField OrdinaryWeightedPolynomials OutputForm Pattern QuotientFieldCategory RectangularMatrixCategory StreamTaylorSeriesOperations WeightedPolynomials XPolynomialRing

/\ CliffordAlgebra MeetSemilattice SingleInteger 0 AbelianMonoid DistributionCategory GradedModule InputForm Pattern VectorSpaceBasis 1 GradedAlgebra InputForm JetBundleCategory MagmaWithUnit Pattern PoincareBirkhoffWittLyndonBasis < OutputForm PartialOrder PermutationCategory PermutationGroup <= OutputForm PartialOrder PermutationGroup = BasicType Equation FortranScalarType ILogic Lambda LatticeJoinOfMeets LatticeMeetOfJoins LinearMultivariateMatrixPencil OutputForm Reference SKICombinators VarCat > JetBundleCategory OutputForm PartialOrder >= OutputForm PartialOrder \/ CliffordAlgebra JoinSemilattice SingleInteger ^ AlgebraicFunction CardinalNumber CombinatorialFunction DistributionCategory DivisionRing ElementaryFunctionCategory ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FreeDivisionAlgebra, [1] FreeGroup FreeMonoid Group IncidenceAlgebra InnerNormalBasisFieldFunctions InputForm, [1] JLFloat JLWSExpression JLWSMatrix, [1] Magma MagmaWithUnit MappingPackage1 MatrixCategory, [1] ModuleOperator NMAlgebraicNumber NMMultivariateLaurentPolynomial NMUnivariateLaurentPolynomial Operator OutputForm Pattern, [1] PolynomialIdeal RadicalCategory SmallOrdinal SquareMatrixCategory StorageEfficientMatrixOperations StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative UnivariateTaylorSeriesCategory ~ CliffordAlgebra DirectedGraph ILogic Logic MultifunctionGraph SingleInteger ~= BasicType OutputForm

_

_|_ BoundedJoinSemilattice

A

AbelianGroup * -, [1] abelianGroup PermutationGroupExamples AbelianMonoid * 0 opposite? sample zero? AbelianMonoidRing / coefficient degree AbelianProductCategory AbelianSemiGroup * + abs ComplexCategory FortranExpression FunctionalSpecialFunction NMAlgebraicNumber OctonionCategory OrderedRing QuaternionCategory SpecialFunctionCategory abs2 NMAlgebraicNumber absolute? NMFiniteField absolutelyIrreducible? FunctionFieldCategory absoluteNorm NMFiniteField absoluteTrace NMFiniteField accumulate JLWSAggregate accuracyBits NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField acos ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression InnerNMExactCalciumField JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions NMExactCalciumField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acosd JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions acosh ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acoshIfCan PartialTranscendentalFunctions acosIfCan PartialTranscendentalFunctions acospi NMAlgebraicNumber acot ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acotd JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions acoth ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acothIfCan PartialTranscendentalFunctions acotIfCan PartialTranscendentalFunctions acsc ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acscd JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions acsch ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acschIfCan PartialTranscendentalFunctions acscIfCan PartialTranscendentalFunctions aCubic PolynomialSolveByFormulas adaptive DrawOption DrawOptionFunctions0 GraphicsDefaults, [1] adaptive3D? Plot3D adaptive? Plot add_poly ModularFactorizationOperations add_slots VectorModularReconstructor addALS FreeDivisionAlgebra addArrow! FiniteGraph, [1], [2], [3] Poset addArrows2Din2D Scene addBadValue Pattern PatternFunctions1 addChild! Scene addColumns! FreeDivisionAlgebra LinearMultivariateMatrixPencil addColumnsRows! FreeDivisionAlgebra addCube FiniteCubicalComplex addError! NMArbField NMRealBall NMRealField addiag StreamTaylorSeriesOperations addImpliedFaces FiniteCubicalComplex FiniteSimplicialComplex additive? DirichletRing additiveValuation addMatch PatternMatchResult addMatchRestricted PatternMatchResult addMIN FreeDivisionAlgebra addmod IntegerNumberSystem addNode! SceneNamedPoints addObject! FiniteGraph, [1] Poset addPlot1Din2D Scene, [1] addPlot1Din2Dparametric Scene addPlot1Din3Dparametric Scene, [1] addPlot2Din3D Scene addPlot2Din3Dparametric Scene, [1] addPoint SubSpace, [1], [2] addPoint2 SubSpace addPointLast SubSpace addPoints! SceneNamedPoints addRows! FreeDivisionAlgebra LinearMultivariateMatrixPencil addRowsColumns! FreeDivisionAlgebra addSceneArrow Scene, [1] addSceneArrows Scene addSceneBox Scene addSceneClip Scene addSceneDef Scene addSceneGraph Scene addSceneGrid Scene, [1] addSceneGroup Scene addSceneIFS Scene, [1] addSceneLine Scene, [1], [2] addSceneLines Scene addSceneMaterial Scene, [1] addSceneNamedPoints Scene addScenePattern Scene addSceneRuler Scene addSceneShape Scene, [1] addSceneText Scene, [1], [2] addSceneTransform Scene addSceneUse Scene addSimplex FiniteSimplicialComplex addVertex OrientedFacet addVertex2 ProductFacet addWarning UnittestCount addWArrow! WeightedGraph adjacencyMatrix FiniteGraph adjoint JLComplexF32Matrix JLComplexF64Matrix JLWSMatrix LinearOrdinaryDifferentialOperatorCategory MatrixLinearAlgebraFunctions ModuleOperator, [1] Operator, [1] PartialDifferentialOperator adjoint! JLComplexF32Matrix JLComplexF64Matrix adjugate JLWSMatrix admissibleLinearSystem FreeDivisionAlgebra Aggregate # copy empty empty? eq? less? more? sample size? airyAi DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory airyAiPrime DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory airyAiPrimex JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 airyAix JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 airyBi DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory airyBiPrime DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory airyBiPrimex JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 airyBix JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 Aleph CardinalNumber alg_reduce PrimGCD alg_reduce0 PrimGCD alg_split_root0 RootFSSplit alg_split_roots RootFSSplit alg_trial_division PrimGCD algDepHP Guess GuessAlgebraicNumber GuessFinite GuessInteger GuessPolynomial GuessPolynomialInteger algDsolve PureAlgebraicLODE, [1] Algebra coerce AlgebraGivenByStructuralConstants coerce algebraic? ExtensionField InnerNMExactCalciumField NMExactCalciumField TriangularSetCategory AlgebraicallyClosedField rootOf, [1], [2] rootsOf, [1], [2] zeroOf, [1], [2] zerosOf, [1], [2] AlgebraicallyClosedFunctionSpace rootOf, [1] rootsOf, [1] rootSum zeroOf, [1] zerosOf, [1] algebraicCoefficients? RegularTriangularSetCategory algebraicDecompose RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage AlgebraicFunction ^ belong? definingPolynomial droot inrootof iroot minPoly operator rootOf rootSum AlgebraicFunctionField knownInfBasis algebraicGcd ModularAlgebraicGcd ModularAlgebraicGcd2 AlgebraicHermiteIntegration HermiteIntegrate, [1] algebraicInteger? NMAlgebraicNumber AlgebraicIntegrate algintegrate palgintegrate AlgebraicIntegrate2 algextint algextint_base AlgebraicIntegration algextint algextint_base algint AlgebraicManipulations ratDenom, [1], [2], [3] ratPoly rootFactor rootKerSimp rootPower rootProduct rootSimp rootSplit AlgebraicMultFact factor, [1] AlgebraicNumber coerce denom norm, [1], [2], [3] numer reduce trueEqual algebraicOf RealClosure algebraicSort QuasiComponentPackage SquareFreeQuasiComponentPackage

algebraicVariables TriangularSetCategory AlgebraPackage basis basisOfCenter basisOfCentroid basisOfCommutingElements basisOfLeftAnnihilator basisOfLeftNucleus basisOfLeftNucloid basisOfMiddleNucleus basisOfNucleus basisOfRightAnnihilator basisOfRightNucleus basisOfRightNucloid biRank doubleRank leftRank radicalOfLeftTraceForm rightRank weakBiRank algextint AlgebraicIntegrate2 AlgebraicIntegration algextint_base AlgebraicIntegrate2 AlgebraicIntegration AlgFactor doublyTransitive? factor, [1] split algint AlgebraicIntegration algintegrate AlgebraicIntegrate algSplitSimple FunctionFieldCategory algtower FunctionSpace2, [1] aLinear PolynomialSolveByFormulas allDegrees GuessOption GuessOptionFunctions0 allIndices SparseEchelonMatrix allRepeated JetBundleCategory allRootsOf RealClosedField, [1], [2], [3], [4], [5] RealRootCharacterizationCategory allSimpleCells SimpleCell, [1] allSubsets CubicalFacet, [1] OrientedFacet, [1] Alpha MathematicalSymbols alpha CartanKuranishi MathematicalSymbols alphabetic CharacterClass alphabetic? Character alphaHilbert CartanKuranishi alphanumeric CharacterClass alphanumeric? Character alternating CycleIndicators alternatingGroup PermutationGroupExamples, [1] alternative? FiniteRankNonAssociativeAlgebra altsupersub FormatterCategory analyseSymbol JetDifferentialEquation AND Switch And IndexedBits SingleInteger and BitAggregate Boolean OutputForm angerJ FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory annihilate? Rng AnonymousFunction ansatz SymmetryAnalysis antiAssociative? FiniteRankNonAssociativeAlgebra antiCommutative? FiniteRankNonAssociativeAlgebra antiCommutator NonAssociativeSemiRng anticoord LinGroebnerPackage antipode HopfAlgebra AntiSymm coefficient degree exp generator homogeneous? leadingBasisTerm leadingCoefficient map reductum retractable? antisymmetric? JLWSMatrix MatrixCategory RectangularMatrixCategory antisymmetricTensors RepresentationPackage1, [1] Any any dom domainOf obj objectOf showTypeInOutput any Any any? HomogeneousAggregate AnyFunctions1 coerce retract retractable? retractIfCan apart JLWSExpression, [1] append JLWSAggregate LinearMultivariateMatrixPencil List append! LinearMultivariateMatrixPencil appendPoint GraphImage appendRow! SparseEchelonMatrix appendSupport! FreeDivisionAlgebra apply ApplyUnivariateSkewPolynomial DistributionPolynomialPackage FiniteMoebiusFunction FramedNonAssociativeAlgebra FunctionGraph GeneralizedFiniteMoebiusFunction IncidenceAlgebra, [1] MultifunctionGraph SequenceCategory UnivariateSkewPolynomialCategory UnivariateSkewPolynomialCategoryOps apply_taylor GeneralizedUnivariatePowerSeries TaylorSeriesExpansion applyQuote FunctionSpace2, [1], [2], [3], [4] ApplyRules applyRules, [1] applyRules ApplyRules, [1] applyTaylor TaylorSeriesExpansion ApplyUnivariateSkewPolynomial apply approximants ContinuedFraction Approximate approximate BalancedPAdicRational NMPadicIntegerCategory PAdicIntegerCategory PAdicRational PAdicRationalConstructor RealClosedField RealRootCharacterizationCategory UnivariatePowerSeriesCategory approxNthRoot IntegerRoots approxSqrt IntegerRoots aQuadratic PolynomialSolveByFormulas aQuartic PolynomialSolveByFormulas arbFunctions CartanKuranishi arbitraryExponent arbitraryPrecision ArcHyperbolicFunctionCategory acosh acoth acsch asech asinh atanh arcsineDistribution DistributionPackage ArcTrigonometricFunctionCategory acos acot acsc asec asin atan areEquivalent? RepresentationPackage2, [1], [2] arg1 MappingPackageInternalHacks2 arg2 MappingPackageInternalHacks2 argscript Symbol argument ComplexCategory FourierComponent KernelCategory argumentList! TheSymbolTable, [1], [2] argumentListOf TheSymbolTable arguments OutputFormTools arity BasicOperator aromberg NumericalQuadrature array2 TwoDimensionalArrayCategory ArrayStack arrayStack arrayStack ArrayStack arrowName FiniteGraph arrowsFromArrow FiniteGraph arrowsFromNode FiniteGraph arrowsToArrow FiniteGraph arrowsToNode FiniteGraph asec ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asecd JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions asech ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asechIfCan PartialTranscendentalFunctions asecIfCan PartialTranscendentalFunctions asimpson NumericalQuadrature asin ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression InnerNMExactCalciumField JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions NMExactCalciumField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asind JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions asinh ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asinhIfCan PartialTranscendentalFunctions asinIfCan PartialTranscendentalFunctions asinpi NMAlgebraicNumber assert BasicOperator assign FortranCode, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30] OutputForm assoc AssociationListAggregate AssociatedEquations associatedEquations associatedSystem uncouplingMatrices associatedEquations AssociatedEquations AssociatedJordanAlgebra coerce AssociatedLieAlgebra coerce associatedSystem AssociatedEquations associates? EntireRing AssociationList AssociationListAggregate assoc associative? FiniteRankNonAssociativeAlgebra associator NonAssociativeRng associatorDependence FiniteRankNonAssociativeAlgebra atan ArcTrigonometricFunctionCategory DoubleFloat ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries Float FortranExpression InnerNMExactCalciumField JLComplexF64MatrixTranscendentalFunctions JLComplexFloat, [1] JLF64MatrixTranscendentalFunctions JLFloat JLMachineFloat JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal NMArbField NMExactCalciumField NMRealBall NMRealField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative atan1 FunctionSpaceToUnivariatePowerSeries2 atand JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions, [1] JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions, [1] JLFloat64SpecialFunctions, [1] JLFloatSpecialFunctions, [1] atanh ArcHyperbolicFunctionCategory DoubleFloatElementaryFunctions ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative atanhIfCan PartialTranscendentalFunctions atanIfCan PartialTranscendentalFunctions atanpi NMAlgebraicNumber atom? ILogic Lambda LatticeJoinOfMeets LatticeMeetOfJoins OutputFormTools SExpressionCategory SKICombinators atom_to_string OutputFormTools atoms PatternMatchListResult atrapezoidal NumericalQuadrature AttachPredicates suchThat, [1] atType InputFormFunctions1 augment RegularTriangularSetCategory, [1], [2], [3] Automorphism morphism, [1], [2] autoReduce JetBundleFunctionCategory autoReduced? TriangularSetCategory axes ThreeDimensionalViewport TwoDimensionalViewport, [1] axesColorDefault ViewDefaultsPackage, [1]

B

B1solve ParametricLinearEquations back QueueAggregate backOldPos PolynomialIdeal badNum PointsOfFiniteOrderTools, [1] badValues PatternFunctions1 BagAggregate extract! insert! inspect BalancedBinaryTree balancedBinaryTree mapDown!, [1] mapUp!, [1] setleaves! balancedBinaryTree BalancedBinaryTree BalancedFactorisation balancedFactorisation, [1] balancedFactorisation BalancedFactorisation, [1] BalancedPAdicInteger BalancedPAdicRational approximate continuedFraction removeZeroes, [1] band CubicalComplexFactory SimplicialComplexFactory bandedHessian MultiVariableCalculusFunctions bandedJacobian MultiVariableCalculusFunctions bandMatrix MatrixManipulation, [1] barnesG JLWSExpression JLWSNumericalSpecialFunctions base FloatingPointSystem IntegerNumberSystem MachineFloat, [1] PermutationGroup BasicFile close! flush open read readIfCan write! BasicKeyedAccessFile close! keys open read remove! write! BasicMethod IntegerFactorizationPackage BasicOperator arity assert comparison copy deleteProperty! display, [1], [2] equality has? input, [1] is? name nary? nullary? operator, [1] properties property setProperties setProperty unary? weight, [1] BasicOperatorFunctions1 constantOperator constantOpIfCan derivative, [1], [2] evaluate, [1], [2], [3] basicSet TriangularSetCategory, [1] BasicType = ~= basis AlgebraPackage FiniteAlgebraicExtensionField FractionalIdeal FractionalIdealAsModule FramedModule HallBasis InnerNormalBasisFieldFunctions VectorSpaceBasis basisOfCenter AlgebraPackage basisOfCentroid AlgebraPackage basisOfCommutingElements AlgebraPackage basisOfLeftAnnihilator AlgebraPackage basisOfLeftNucleus AlgebraPackage basisOfLeftNucloid AlgebraPackage basisOfMiddleNucleus AlgebraPackage basisOfNucleus AlgebraPackage basisOfRightAnnihilator AlgebraPackage basisOfRightNucleus AlgebraPackage basisOfRightNucloid AlgebraPackage bat TableauxBumpers bat1 TableauxBumpers beauzamyBound GaloisGroupFactorizationUtilities belong? AlgebraicFunction CombinatorialFunction ElementaryFunction ExpressionSpace2 FunctionalSpecialFunction LiouvillianFunction bernoulli IntegerNumberTheoryFunctions PolynomialNumberTheoryFunctions bernoulliB NumberTheoreticPolynomialFunctions bernoulliDistribution01 DistributionPackage besselI DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory besselIx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 besselJ DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory besselJ0 JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 besselJ1 JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 besselJx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 besselK DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory besselKx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 besselY DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory besselY0 JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 besselY1 JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 besselYx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 Beta DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] FunctionalSpecialFunction, [1] JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSNumericalSpecialFunctions, [1] MathematicalSymbols RandomFloatDistributions SpecialFunctionCategory, [1] beta MathematicalSymbols BetaRegularized JLWSExpression JLWSNumericalSpecialFunctions bezoutDiscriminant BezoutMatrix BezoutMatrixWrapper

BezoutMatrix bezoutDiscriminant bezoutMatrix bezoutResultant subresultants subSylvesterMatrix, [1] sylvesterMatrix bezoutMatrix BezoutMatrix BezoutMatrixWrapper BezoutMatrixWrapper bezoutDiscriminant bezoutMatrix bezoutResultant subresultants subSylvesterMatrix, [1] sylvesterMatrix bezoutResultant BezoutMatrix BezoutMatrixWrapper Bialgebra BiCPO BiModule binary BinaryExpansion FormatterCategory InputForm BinaryExpansion binary coerce, [1] fractionPart binaryFunction MakeBinaryCompiledFunction BinaryRecursiveAggregate elt, [1] left right setelt!, [1] setleft! setright! binarySearch SortedCache BinarySearchTree binarySearchTree insert! insertRoot! split binarySearchTree BinarySearchTree BinaryTournament binaryTournament insert! binaryTournament BinaryTournament BinaryTree binaryTree, [1] binaryTree BinaryTree, [1] BinaryTreeCategory node bind Lambda binomial CombinatorialFunction CombinatorialFunctionCategory FormatterCategory IntegerCombinatoricFunctions OutputForm RandomIntegerDistributions binomThmExpt FiniteAbelianMonoidRing bipolar CoordinateSystems bipolarCylindrical CoordinateSystems biRank AlgebraPackage birth SubSpace bit? IntegerNumberSystem BitAggregate and nand nor not or xor bitCoef IntegerBits Bits bits bits Bits FloatingPointSystem, [1] NMAcbField NMArbField NMComplexBall NMRealBall BitStreamFrame starts, [1] bitTruth IntegerBits bivariate? PolynomialSetUtilitiesPackage bivariatePolynomials PolynomialSetUtilitiesPackage bivariateSLPEBR PolynomialFactorizationByRecursion blankSeparate OutputForm block FortranCode blockConcat TwoDimensionalArrayCategory blockElimination FreeDivisionAlgebra, [1] LinearMultivariateMatrixPencil blockSplit MatrixManipulation, [1] TwoDimensionalArrayCategory, [1] blockStructure FreeDivisionAlgebra blue Color bombieriNorm GaloisGroupFactorizationUtilities, [1] Boolean and implies nand nor not or test xor booleanConvolution DistributionCategory booleanCumulant DistributionCategory booleanCumulant2moment MomentPackage booleanCumulantFromJacobi Distribution booleanCumulants DistributionCategory boolWordPermute OrientedFacet, [1] bottom DequeueAggregate PathArrayPackage bound CartanKuranishi boundary CubicalFacet FiniteCubicalComplex FiniteSimplicialComplex OrientedFacet Scene BoundedDistributiveLattice BoundedJoinSemilattice _|_ BoundedLattice BoundedMeetSemilattice T BoundIntegerRoots integerBound boundOfCauchy RealPolynomialUtilitiesPackage box ExpressionSpace2 FormatterCategory OutputBox OutputForm boxBoundary SBoundary brace OutputForm, [1] bracket FormatterCategory OutputForm, [1] branchIfCan QuasiComponentPackage SquareFreeQuasiComponentPackage branchPoint? FunctionFieldCategory, [1] branchPointAtInfinity? FunctionFieldCategory bright DisplayPackage, [1] Palette brillhartIrreducible? BrillhartTests, [1] BrillhartTests brillhartIrreducible?, [1] brillhartTrials, [1] noLinearFactor? brillhartTrials BrillhartTests, [1] bringDown FunctionSpaceReduce, [1] bsolve ParametricLinearEquations btwFact GaloisGroupFactorizer bubbleSort! SortPackage, [1] build GeneralModulePolynomial BumInSepFFE UnivariatePolynomialSquareFree bumprow TableauxBumpers bumptab TableauxBumpers bumptab1 TableauxBumpers BY SegmentCategory

C

CachableSet position setPosition cAcos InnerSparseUnivariatePowerSeries cAcosh InnerSparseUnivariatePowerSeries cAcot InnerSparseUnivariatePowerSeries cAcoth InnerSparseUnivariatePowerSeries cAcsc InnerSparseUnivariatePowerSeries cAcsch InnerSparseUnivariatePowerSeries calcRanges PlotTools call FortranCode cancel JLWSExpression, [1] CancellationAbelianMonoid subtractIfCan Canonical canonicalBasis VectorSpaceBasis canonicalIfCan ModularAlgebraicGcdOperations canonicalMoebiusFunction GeneralizedFiniteMoebiusFunction canonicalsClosed canonicalUnitNormal cap CycleIndicators car SExpressionCategory cardinality FiniteSetAggregate CardinalNumber - ^ Aleph countable? finite? generalizedContinuumHypothesisAssumed generalizedContinuumHypothesisAssumed? carmichaelLambda IntegerNumberTheoryFunctions CartanKuranishi alpha alphaHilbert arbFunctions bound complete complete2 gauge gaugeHilbert hilbert setOutMode setRedMode setSimpMode stirling cartesian CoordinateSystems DirectedGraph ListPackage MultifunctionGraph UndirectedGraph WeightedGraph cartesianPower ListPackage CartesianTensor * coerce, [1], [2], [3] contract, [1] elt, [1], [2], [3], [4], [5] kroneckerDelta leviCivitaSymbol product rank ravel reindex sample transpose, [1] unravel CartesianTensorFunctions2 map reshape cAsec InnerSparseUnivariatePowerSeries cAsech InnerSparseUnivariatePowerSeries cAsin InnerSparseUnivariatePowerSeries cAsinh InnerSparseUnivariatePowerSeries catalan IntegerCombinatoricFunctions JLMachineFloat JLWSExpression cAtan InnerSparseUnivariatePowerSeries cAtanh InnerSparseUnivariatePowerSeries cCos InnerSparseUnivariatePowerSeries cCosh InnerSparseUnivariatePowerSeries cCot InnerSparseUnivariatePowerSeries cCoth InnerSparseUnivariatePowerSeries cCsc InnerSparseUnivariatePowerSeries cCsch InnerSparseUnivariatePowerSeries cdr SExpressionCategory ceiling FunctionalSpecialFunction InnerNMExactCalciumField JLWSExpression NMAlgebraicNumber NMExactCalciumField QuotientFieldCategory RealNumberSystem SpecialFunctionCategory Cell dimension hasDimension? mainVariableOf makeCell, [1] projection samplePoint simpleCells variablesOf center DisplayPackage, [1] OutputForm, [1] UnivariatePowerSeriesCategory certainlySubVariety? PolynomialSetUtilitiesPackage cExp InnerSparseUnivariatePowerSeries chain DeltaComplex FiniteCubicalComplex FiniteSimplicialComplex ChainComplex chainComplex homology transition_matrices validate chainComplex ChainComplex chainSubResultants PseudoRemainderSequence changeBase MachineFloat PseudoLinearNormalForm changeExprLength FortranCodeTools ChangeOfVariable chvar, [1] eval goodPoint mkIntegral radPoly rootPoly changeVar PrimitiveRatRicDE, [1] changeWeightLevel OrdinaryWeightedPolynomials WeightedPolynomials char Character, [1] char_pol CharacteristicPolynomial2 char_pol_via_berkovitz CharacteristicPolynomial4 char_pol_via_den_interpolation CharacteristicPolynomial3 char_pol_via_interpolation CharacteristicPolynomial3 Character alphabetic? alphanumeric? char, [1] digit? hexDigit? lowerCase lowerCase? newline ord quote space underscore upperCase upperCase? character? 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D

D DifferentialExtension, [1] DifferentialRing, [1] FullPartialFractionExpansion, [1] JetBundle JetBundleSymAna LinearOrdinaryDifferentialOperatorCategory PartialDifferentialOperator PartialDifferentialRing, [1], [2], [3] SparseMultivariateSkewPolynomial d JetDifferential, [1] dAndcExp InnerNormalBasisFieldFunctions danilewski CharacteristicPolynomial2 dark Palette Database + - coerce display elt, [1] fullDisplay, [1] DataList coerce, [1] datalist elt, [1], [2] datalist DataList dawson JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions Dcpo join ddfact ModularFactorization ModularFactorizationGeneral ModularFactorizationK debug GuessOption GuessOptionFunctions0 Plot debug3D Plot3D dec IntegerNumberSystem decimal DecimalExpansion DecimalExpansion coerce, [1] decimal fractionPart declare InputForm declare! SymbolTable, [1] TheSymbolTable, [1], [2], [3] decompose FiniteDivisorCategory JLWSExpression MonomialExtensionTools PartialFractionUtilities RegularSetDecompositionPackage, [1] SquareFreeRegularSetDecompositionPackage, [1] decomposeFunc TransSolvePackageService decomposeIfCan UnivariatePolynomialDecompositionPackage decreasePrecision FloatingPointSystem dedekindEta JLWSExpression JLWSNumericalSpecialFunctions deductions ILogic LatticeJoinOfMeets LatticeMeetOfJoins deepCopy SubSpace deepDiagramSvg FiniteGraph deepestInitial RecursivePolynomialCategory deepestTail RecursivePolynomialCategory deepExpand FreeNilpotentLie defaultEpilogue FormatterCategory defaultPrologue FormatterCategory defined? JLWSExpression defineProperty SubSpace definingEquations QuasiAlgebraicSet definingInequation QuasiAlgebraicSet definingPolynomial AlgebraicFunction ExpressionSpace2 FiniteAlgebraicExtensionField MonogenicAlgebra RealRootCharacterizationCategory DefiniteIntegrationTools checkForZero, [1] computeInt ignore? deg2Rad JLComplexFloatSpecialFunctions JLFloatSpecialFunctions deg2rad JLFloat32SpecialFunctions JLFloat64SpecialFunctions degree AbelianMonoidRing AntiSymm DeRhamComplex DifferentialPolynomialCategory ExtAlgBasis ExtensionField FactoringUtilities FakePolynomial FiniteAlgebraicExtensionField FreeLieAlgebra GradedModule JLWSExpression LaurentPolynomial MaybeSkewPolynomialCategory, [1] ModularAlgebraicGcdOperations ModularEvaluationCategory ModularFactorizationOperations NMAlgebraicNumber NMMultivariateLaurentPolynomial NMMultivariatePolynomial Permutation PermutationGroup PowerSeriesCategory SolvableSkewPolynomialCategory TriangularSetCategory U32VectorPolynomialOperations UnivariateLaurentSeriesConstructorCategory UnivariatePuiseuxSeriesConstructorCategory VectorPolynomialOperationsF VectorPolynomialOperationsP XPolynomialsCat degreePartition GaloisGroupFactorizer GaloisGroupPolynomialUtilities DegreeReductionPackage cyclotomic_roots expand reduce degreeSubResultant PseudoRemainderSequence degreeSubResultantEuclidean PseudoRemainderSequence dehomogenize LinearCombinationUtilities delay Stream delete JLWSAggregate LinearAggregate, [1] delete! ExtensibleLinearAggregate, [1] JLObjDict, [1] deleteProperty! BasicOperator deleteRow! SparseEchelonMatrix Delta MathematicalSymbols SparseMultivariateSkewPolynomial delta MathematicalSymbols SetOfMIntegersInOneToN delta_deriv LinearOrdinaryDifferentialOperator3Aux DeltaComplex chain coChain coerce coHomology deltaComplex, [1], [2], [3] faceMap fundamentalGroup, [1] homology link oneSkeleton triangle deltaComplex DeltaComplex, [1], [2], [3] DeltaComplexFactory circle dunceHat kleinBottle projectiveSpace torusSurface DenavitHartenbergMatrix * identity rotatex rotatey rotatez scale translate denom AlgebraicNumber FractionalIdeal FunctionSpace2 LocalAlgebra Localize QuotientFieldCategory denominator FunctionSpace2 JetBundleFunctionCategory JLWSExpression NMAlgebraicNumber QuotientFieldCategory DenominatorIntegration li_int poly_int solve_u denominators ContinuedFraction denomLODE PrimitiveRatDE, [1] denomRicDE PrimitiveRatRicDE depth OutputBox Pattern Dequeue dequeue dequeue Dequeue dequeue! QueueAggregate DequeueAggregate bottom extractBottom! extractTop! insertBottom! insertTop! reverse! deref Reference DeRhamComplex coefficient degree exteriorDifferential generator homogeneous? leadingBasisTerm leadingCoefficient map reductum retractable? totalDifferential deriv StreamExponentialSeriesOperations StreamTaylorSeriesOperations derivationCoordinates MonogenicAlgebra derivative BasicOperatorFunctions1, [1], [2] JLWSExpression, [1] NMMultivariateLaurentPolynomial, [1] derivativeOf? JetBundleCategory deserialize FileSerialization destruct PatternMatchResult SExpressionCategory det_via_common_denominator CharacteristicPolynomial3 determinant InnerMatrixLinearAlgebraFunctions MatrixCategory MatrixLinearAlgebraFunctions SquareMatrixCategory detSys SymmetryAnalysis, [1], [2] detSysNS SymmetryAnalysis, [1] diag MappingPackage2 diagonal JLWSMatrix LinearMultivariateMatrixPencil SquareMatrixCategory diagonal? JLWSMatrix LinearMultivariateMatrixPencil MatrixCategory RectangularMatrixCategory diagonalMatrix JLComplexF32Matrix JLComplexF64Matrix JLFloat32Matrix JLFloat64Matrix JLMatrix JLWSMatrix Matrix MatrixCategory, [1] MatrixManipulation, [1] SquareMatrixCategory diagonalProduct IntegralBasisTools SquareMatrixCategory diagonals ThreeDimensionalViewport diagramHeight FiniteGraph diagramsSvg FiniteGraph diagramSvg FiniteGraph diagramSvg2 UndirectedGraph diagramWidth FiniteGraph Dictionary dictionary DictionaryOperations, [1] DictionaryOperations dictionary, [1] remove!, [1] select! diff JetVectorField ODEIntegration diff_map PartialDifferentialOperatorHelper DiffAction FractionFreeFastGaussian DiffC FractionFreeFastGaussian difference SetAggregate, [1] differences JLWSAggregate DifferentialExtension D, [1] differentiate, [1] DifferentialPolynomialCategory degree differentialVariables initial isobaric? leader makeVariable, [1] order, [1] separant weight, [1] weights, [1] DifferentialRing D, [1] differentiate, [1] differentials JetDifferential DifferentialSparseMultivariatePolynomial DifferentialVariableCategory coerce differentiate, [1] makeVariable order variable weight differentialVariables DifferentialPolynomialCategory differentiate DifferentialExtension, [1] DifferentialRing, [1] DifferentialVariableCategory, [1] FullPartialFractionExpansion, [1] FunctionFieldCategory GeneralUnivariatePowerSeries IntegrationResult, [1] JetBundleCategory JetBundleFunctionCategory NMFraction OutputForm PartialDifferentialRing, [1], [2], [3] SparseUnivariateLaurentSeries SparseUnivariatePuiseuxSeries SparseUnivariateTaylorSeries U32VectorPolynomialOperations, [1] UnivariateFormalPowerSeries UnivariateLaurentSeries UnivariatePolynomialCategory UnivariatePuiseuxSeries UnivariateTaylorSeries diffextint ParametricTranscendentalIntegration diffHP Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] diffP JetVectorField diffU JetVectorField diffX JetVectorField digamma DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory digit CharacterClass digit? Character digits FloatingPointSystem, [1] PAdicIntegerCategory dihedral CycleIndicators DihedralGroup expa expb exponenta exponentb dihedralGroup GroupPresentation PermutationGroupExamples, [1] dilate SequenceCategory dilog FloatSpecialFunctions LiouvillianFunction LiouvillianFunctionCategory

dim Palette dimension Cell FreeDivisionAlgebra FreeNilpotentLie JetBundleFunctionCategory JetDifferentialEquation PointCategory PolynomialIdeal, [1] SPointCategory dimensionOfIrreducibleRepresentation IrrRepSymNatPackage dimensions JLWSAggregate ThreeDimensionalViewport TwoDimensionalViewport dimensionsOf FortranType dimJ JetBundleCategory dimS JetBundleCategory DiophantineSolutionPackage dioSolve diophantineSystem SmithNormalForm dioSolve DiophantineSolutionPackage diracDelta FunctionalSpecialFunction SpecialFunctionCategory DirectedGraph * ~ cartesian closedCartesian closedTensor coerce, [1], [2] directedGraph, [1], [2], [3], [4], [5], [6] directedGraph DirectedGraph, [1], [2], [3], [4], [5], [6] direction ToolsForSign directions JetVectorField directory FileNameCategory DirectProduct directProduct DirectProductCategory GroupPresentation DirectProductCategory *, [1] directProduct dot unitVector DirectProductFunctions2 map reduce scan DirectProductMatrixModule DirectProductModule directSum LinearOrdinaryDifferentialOperatorCategory LinearOrdinaryDifferentialOperatorsOps dirichletEta JLWSExpression JLWSNumericalSpecialFunctions dirichletL JLWSExpression JLWSNumericalSpecialFunctions DirichletRing additive? coerce, [1], [2], [3] multiplicative? zeta disableAlternativeOutput FreeDivisionAlgebra disableDebugOutput FreeDivisionAlgebra discreteLog FieldOfPrimeCharacteristic FiniteFieldCategory DiscreteLogarithmPackage shanksDiscLogAlgorithm discriminant FiniteRankAlgebra FramedAlgebra JLWSExpression NumberFieldIntegralBasis PolynomialCategory PseudoRemainderSequence UnivariatePolynomialCategory discriminantEuclidean PseudoRemainderSequence discriminantSet CylindricalAlgebraicDecompositionPackage dispGenerators Homology display BasicOperator, [1], [2] Database FreeDivisionAlgebra, [1] HTMLFormat IndexCard JetDifferentialEquation MathMLFormat OutputFormatterCategory TexFormat, [1] TexmacsFormat XDistributedPolynomialFunctions displayKind GuessOption GuessOptionFunctions0 displayLines FortranCodeTools DisplayPackage bright, [1] center, [1] copies newLine say, [1] sayLength, [1] dispStatement FortranCodeTools distance FiniteGraph RecursiveAggregate SPointCategory distanceMatrix FiniteGraph distanceSquared SPointCategory distanceWeighted WeightedGraph distFact LeadingCoefDetermination distinct_partition IntegerCombinatoricFunctions distinct_partitions PartitionsAndPermutations, [1] distribute ExpressionSpace2, [1] JLWSExpression, [1] DistributedJetBundlePolynomial const convert, [1] groebner DistributedMultivariatePolynomial reorder Distribution booleanCumulantFromJacobi construct distributionByBooleanCumulants, [1] distributionByClassicalCumulants, [1] distributionByEvenMoments, [1] distributionByFreeCumulants, [1] distributionByJacobiParameters, [1] distributionByMoments, [1] distributionByMonotoneCumulants, [1] distributionBySTransform, [1] freeMultiplicativeConvolution distributionByBooleanCumulants Distribution, [1] distributionByClassicalCumulants Distribution, [1] distributionByEvenMoments Distribution, [1] distributionByFreeCumulants Distribution, [1] distributionByJacobiParameters Distribution, [1] distributionByMoments Distribution, [1] distributionByMonotoneCumulants Distribution, [1] distributionBySTransform Distribution, [1] STransformPackage DistributionCategory 0 ^ booleanConvolution booleanCumulant booleanCumulants classicalConvolution classicalCumulant classicalCumulants freeConvolution freeCumulant freeCumulants hankelDeterminants jacobiParameters, [1] moment moments monotoneConvolution monotoneCumulants orthogonalConvolution orthogonalPolynomials, [1] subordinationConvolution DistributionContinuedFractionPackage JContinuedFraction, [1] DistributionFunctions2 coerce mapall R1_to_R2_coercion DistributionPackage arcsineDistribution bernoulliDistribution01 freePoissonDistribution gaussianDistribution poissonDistribution wignerDistribution DistributionPolynomialPackage apply eval integrate DistributiveLattice divergence MultiVariableCalculusFunctions divide EuclideanDomain FreeMonoid NMUnivariateLaurentPolynomial NMUnivariatePolynomial NonNegativeInteger PseudoRemainderSequence divide! ModularFactorizationOperations U32VectorPolynomialOperations divideExponents UnivariatePolynomialCategory divideIfCan UnivariatePolynomialDivisionPackage divideIfCan! IntegralBasisTools DivisionRing ^ inv divisor FiniteDivisorCategory, [1], [2], [3], [4], [5] divisorCascade ComplexRootFindingPackage, [1] divisors IntegerNumberTheoryFunctions dmp2rfi ParametricLinearEquations, [1], [2] dmpToHdmp PolToPol dmpToP PolToPol do_liou InnerTrigonometricManipulations do_modular_solve InnerModularHermitePade do_param_RDE ElementaryRischDEX2 do_poly_integer InnerModularHermitePade do_quo ElementaryFunctionsGeneralizedUnivariatePowerSeries do_risch_DE ElementaryRischDEX2 do_with_error_env1 FortranCodeTools do_with_error_env2 FortranCodeTools do_with_error_env3 FortranCodeTools doFactor TwoFactorize dom Any domainOf Any dominantTerm UnivariatePuiseuxSeriesWithExponentialSingularity dot DirectProductCategory JLWSVector OutputForm, [1] TubePlotTools VectorCategory double RepeatedDoubling double? FortranScalarType doubleComplex? FortranScalarType doubleDisc PointsOfFiniteOrderTools DoubleFloat atan doubleFloatFormat exp1 log10 log2 qlog qsqrt rationalApproximation, [1] DoubleFloatElementaryFunctions atanh log_plus_1 DoubleFloatEllipticIntegrals ellipticE, [1], [2], [3] ellipticF, [1] ellipticK, [1] ellipticPi, [1] ellipticRC, [1] ellipticRD, [1] ellipticRF, [1] ellipticRJ, [1] doubleFloatFormat DoubleFloat DoubleFloatMatrix DoubleFloatSpecialFunctions besselI, [1] besselJ, [1] besselK, [1] besselY, [1] DoubleFloatSpecialFunctions2 airyAi, [1] airyAiPrime, [1] airyBi, [1] airyBiPrime, [1] Beta, [1] Chi Ci digamma, [1] Ei erf erfi fresnelC fresnelS Gamma, [1] hypergeometric0F1, [1] li logGamma, [1] polygamma, [1] Shi Si DoubleFloatVector qnew doubleRank AlgebraPackage doubleResultant DoubleResultantPackage DoubleResultantPackage doubleResultant DoublyLinkedAggregate concat! head last next previous setnext! setprevious! tail doublyTransitive? AlgFactor dP JetDifferential draw TopLevelDrawFunctions, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] TopLevelDrawFunctionsForAlgebraicCurves TopLevelDrawFunctionsForCompiledFunctions, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13] TopLevelDrawFunctionsForPoints, [1], [2], [3], [4], [5] DrawComplex drawComplex drawComplexVectorField setClipValue setImagSteps setRealSteps drawComplex DrawComplex drawComplexVectorField DrawComplex drawCurves ViewportPackage, [1] DrawNumericHack coerce DrawOption adaptive clip, [1] colorFunction, [1], [2] coord coordinates curveColor, [1] option option? pointColor, [1] range, [1] ranges space style title toScale tubePoints tubeRadius unit var1Steps var2Steps viewpoint DrawOptionFunctions0 adaptive clipBoolean coord curveColorPalette pointColorPalette ranges space style title toScale tubePoints tubeRadius units var1Steps var2Steps viewpoint DrawOptionFunctions1 option drawStyle ThreeDimensionalViewport drawToScale GraphicsDefaults, [1] droot AlgebraicFunction dSolve JLWSExpression, [1] dSolveValue JLWSExpression, [1] dSubst JetBundleFunctionCategory dU JetDifferential dunceHat DeltaComplexFactory SimplicialComplexFactory duplicates MultiDictionary duplicates? ListMultiDictionary dX JetDifferential

E

e CliffordAlgebra ee CliffordAlgebra eFromBinaryMap CliffordAlgebra Ei DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 LiouvillianFunction LiouvillianFunctionCategory ei_int ElementaryRischDEX EiEn JLWSExpression JLWSNumericalSpecialFunctions eigen JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eigen! JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eigenMatrix RadicalEigenPackage EigenPackage characteristicPolynomial, [1] eigenvalues eigenvector eigenvectors generalizedEigenvector, [1] generalizedEigenvectors eigenSystem JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra JLWSMatrix eigenSystem! JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eigenvalues EigenPackage InnerEigenPackage, [1] JLMatrix JLWSMatrix eigenvector EigenPackage InnerEigenPackage eigenvectors EigenPackage InnerEigenPackage, [1] JLWSMatrix eigvals JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eigvals! JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eigvecs JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra eisensteinIrreducible? GaloisGroupFactorizer elColumn2! MatrixLinearAlgebraFunctions elem? IntegrationResult element MatrixManipulation element? PolynomialIdeal elementary CycleIndicators ElementaryFunction acos acosh acot acoth acsc acsch asec asech asin asinh atan atanh belong? cos cosh cot coth csc csch exp iiacos iiacosh iiacot iiacoth iiacsc iiacsch iiasec iiasech iiasin iiasinh iiatan iiatanh iicos iicosh iicot iicoth iicsc iicsch iiexp iilog iisec iisech iisin iisinh iisqrt2 iisqrt3 iitan iitanh localReal? log operator pi sec sech sin sinh specialTrigs tan tanh ElementaryFunctionCategory ^ exp log ElementaryFunctionDefiniteIntegration innerint integrate, [1] ElementaryFunctionLODESolver solve, [1] ElementaryFunctionODESolver solve, [1], [2], [3], [4], [5], [6], [7] ElementaryFunctionsGeneralizedUnivariatePowerSeries do_quo ElementaryFunctionSign sign, [1], [2] ElementaryFunctionStructurePackage irootDep normalize, [1], [2], [3] realElementary, [1] realLiouvillian, [1] rischNormalize, [1], [2] rmap rootNormalize tanQ validExponential ElementaryFunctionsUnivariateLaurentSeries ^ acos acosh acot acoth acsc acsch asec asech asin asinh atan atanh cos cosh cot coth csc csch exp log sec sech sin sinh tan tanh ElementaryFunctionsUnivariatePuiseuxSeries ^ acos acosh acot acoth acsc acsch asec asech asin asinh atan atanh cos cosh cot coth csc csch exp log sec sech sin sinh tan tanh ElementaryIntegration lfextendedint lfintegrate ElementaryRischDEX ei_int mk_erf ElementaryRischDEX2 do_param_RDE do_risch_DE risch_de_ext elements SetOfMIntegersInOneToN eliminationEquations LinearMultivariateMatrixPencil, [1], [2] eliminationGroebner LinearMultivariateMatrixPencil eliminationSolve LinearMultivariateMatrixPencil, [1], [2], [3], [4] eliminationTransformations LinearMultivariateMatrixPencil, [1], [2] elimZeroCols! SparseEchelonMatrix ellipseBoundary SBoundary elliptic CoordinateSystems FunctionFieldCategory ellipticCylindrical CoordinateSystems ellipticE DoubleFloatEllipticIntegrals, [1], [2], [3] EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1], [2], [3] FunctionalSpecialFunction, [1] JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory, [1] ellipticF DoubleFloatEllipticIntegrals, [1] EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory EllipticFunctionsUnivariateTaylorSeries ellipticE ellipticF ellipticPi jacobiCn jacobiDn jacobiSn sncndn ellipticK DoubleFloatEllipticIntegrals, [1] FloatEllipticFunctions, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory ellipticPi DoubleFloatEllipticIntegrals, [1] EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory ellipticRC DoubleFloatEllipticIntegrals, [1] ellipticRD DoubleFloatEllipticIntegrals, [1] ellipticRF DoubleFloatEllipticIntegrals, [1] ellipticRJ DoubleFloatEllipticIntegrals, [1] ellipticTheta JLWSExpression JLWSNumericalSpecialFunctions ellipticThetaPrime JLWSExpression JLWSNumericalSpecialFunctions elRow1! MatrixLinearAlgebraFunctions elRow2! MatrixLinearAlgebraFunctions elt BinaryRecursiveAggregate, [1] CartesianTensor, [1], [2], [3], [4], [5] Database, [1] DataList, [1], [2] Eltable EltableAggregate EuclideanModularRing ExpressionSpace2, [1], [2], [3], [4], [5], [6], [7], [8], [9] FramedNonAssociativeAlgebra FreeDivisionAlgebra, [1] FunctionFieldCategory IndexCard JLObjDict, [1] JLObjectAggregate, [1] JLWSAggregate JLWSMatrix Library LinearMultivariateMatrixPencil, [1] OutputForm Pattern PermutationCategory PermutationGroup QuadraticForm RectangularMatrixCategory, [1] RecursiveAggregate Reference RewriteRule Ruleset SequenceCategory SExpressionCategory, [1] SparseEchelonMatrix StringAggregate Symbol ThreeDimensionalMatrix TwoDimensionalArrayCategory, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12] UnaryRecursiveAggregate, [1], [2] UnivariatePolynomialCategory, [1] UnivariatePowerSeriesCategory Eltable elt eltable? RecurrenceOperator EltableAggregate elt qelt qsetelt! setelt! empty Aggregate OutputBox OutputForm QuasiAlgebraicSet SplittingNode SymbolTable TheSymbolTable VectorIntegerReconstructor VectorModularReconstructor empty? Aggregate FacetCategory LatticeJoinOfMeets LatticeMeetOfJoins OutputBox OutputFormTools QuasiAlgebraicSet SplittingNode XmlElement empty_mat ModularFactorizationOperations empty_mat? ModularFactorizationOperations empty_poly ModularFactorizationOperations emptyLattice LatticeJoinOfMeets LatticeMeetOfJoins enableAlternativeOutput FreeDivisionAlgebra enableDebugOutput FreeDivisionAlgebra endOfFile? TextFile endSubProgram TheSymbolTable enqueue! QueueAggregate enterInCache SortedCache, [1] enterPointData ThreeSpaceCategory EntireRing associates? exquo unit? unitCanonical unitNormal entries IndexedAggregate Loop entry? IndexedAggregate enumerate Finite SetOfMIntegersInOneToN environment FormatLaTeX FormatMathJax epilogue Formatter TexFormat ePseudoscalar CliffordAlgebra Epsilon MathematicalSymbols epsilon MathematicalSymbols EQ Switch eq SExpressionCategory eq? Aggregate eqRep? JetLazyFunction EqTable equal? LinearMultivariateMatrixPencil equality BasicOperator Equation *, [1] +, [1] -, [1] / = equation eval, [1] factorAndSplit inv leftOne leftZero lhs map rhs rightOne rightZero subst swap equation Equation QueryEquation SegmentBinding EquationFunctions2 map erf DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] InnerNMExactCalciumField JLFloat32SpecialFunctions2, [1] JLFloat64SpecialFunctions2, [1] JLFloatSpecialFunctions2, [1] JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal LiouvillianFunction LiouvillianFunctionCategory NMExactCalciumField erfc InnerNMExactCalciumField JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal NMExactCalciumField erfcx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 erfi DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] InnerNMExactCalciumField JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 LiouvillianFunction LiouvillianFunctionCategory NMExactCalciumField

error ErrorFunctions, [1], [2], [3] ErrorFunctions error, [1], [2], [3] errorInfo OpenMathError errorKind OpenMathError Eta MathematicalSymbols eta JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 MathematicalSymbols etaQExp NMUnivariatePolynomial EuclideanDomain divide euclideanSize extendedEuclidean, [1] multiEuclidean quo rem sizeLess? euclideanGroebner EuclideanGroebnerBasisPackage, [1], [2] EuclideanGroebnerBasisPackage euclideanGroebner, [1], [2] euclideanNormalForm EuclideanModularRing coerce elt exQuo inv modulus recip reduce euclideanNormalForm EuclideanGroebnerBasisPackage euclideanSize EuclideanDomain euler IntegerNumberTheoryFunctions PolynomialNumberTheoryFunctions eulerE JLWSExpression, [1] NumberTheoreticPolynomialFunctions eulerGamma InnerNMExactCalciumField JLMachineFloat JLWSExpression NMExactCalciumField eulerPhi IntegerNumberTheoryFunctions JLWSExpression eval ChangeOfVariable CycleIndicators DistributionPolynomialPackage Equation, [1] Evalable, [1] EvaluateCycleIndicators ExpressionSpace2, [1], [2], [3], [4], [5], [6], [7] FreeLieAlgebra, [1] FunctionSpace2, [1], [2], [3], [4], [5] InnerEvalable, [1] JetDifferential JetLazyFunction JetVectorField MoebiusTransform, [1] PermutationCategory RationalFunction, [1], [2], [3] StreamTaylorSeriesOperations TensorProductProperty UnivariatePowerSeriesCategory eval1 JetLazyFunction ModularEvaluationCategory PolynomialEvaluationUtilities, [1] eval1a PolynomialEvaluationUtilities eval_at U32VectorPolynomialOperations eval_with_timeout TimeoutPackage Evalable eval, [1] evaluate BasicOperatorFunctions1, [1], [2], [3] ModuleOperator NMMultivariateLaurentPolynomial Operator EvaluateCycleIndicators eval evaluateInverse ModuleOperator Operator even? ExpressionSpace2 IntegerNumberSystem Permutation evenInfiniteProduct InfiniteLambertProduct evenlambert StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries every? HomogeneousAggregate exact? NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField exactDivide NMMultivariateLaurentPolynomial NMMultivariatePolynomial NMUnivariateLaurentPolynomial NMUnivariatePolynomial exactNumber? JLWSExpression exactQuotient RecursivePolynomialCategory, [1] exactQuotient! RecursivePolynomialCategory, [1] exists? FileNameCategory Exit exp AntiSymm ElementaryFunction ElementaryFunctionCategory ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries ExtendedNMPadicInteger FloatElementaryFunctions FortranExpression InnerNMExactCalciumField JLCF32LinearAlgebra JLCF64LinearAlgebra JLComplexFloat JLF32LinearAlgebra JLF64LinearAlgebra JLFloat JLMachineFloat JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal LieExponentials NMAcbField NMArbField NMComplexBall NMComplexField NMExactCalciumField NMPadicInteger NMRealBall NMRealField StreamExponentialSeriesTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative XExponentialPackage XPBWPolynomial exp0 StreamExponentialSeriesOperations exp1 DoubleFloat Float FloatElementaryFunctions InnerNMExactCalciumField JLComplexFloat JLFloat NMAcbField NMArbField NMComplexBall NMComplexField NMExactCalciumField NMRealBall NMRealField exp10 JLComplexFloat JLFloat JLFloat32SpecialFunctions JLFloat64SpecialFunctions exp2 JLComplexFloat JLFloat JLFloat32SpecialFunctions JLFloat64SpecialFunctions exp_frac FloatElementaryFunctions exp_lower_bound ParametricRischDE exp_series FloatElementaryFunctions expa DihedralGroup expand DegreeReductionPackage Factored IntegrationResultRFToFunction IntegrationResultToFunction JLWSExpression, [1] SegmentExpansionCategory, [1] TranscendentalManipulations XPolynomial XRecursivePolynomial expandDenominator JLWSExpression expandLog TranscendentalManipulations expandNumerator JLWSExpression expandPower TranscendentalManipulations expandTrigProducts TranscendentalManipulations expb DihedralGroup expextint ParametricTranscendentalIntegration expIfCan PartialTranscendentalFunctions expint JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 ODEIntegration expintegrate TranscendentalIntegration expintx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 explicitEntries? LazyStreamAggregate explicitlyEmpty? LazyStreamAggregate explicitlyFinite? StreamAggregate explogs2trigs InnerTrigonometricManipulations expm1 JLComplexFloat JLFloat JLMachineFloat NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField exponent CyclicGroup ExponentialOfUnivariatePuiseuxSeries FloatingPointSystem InfiniteCyclicGroup IntegerLocalizedAtPrime JLWSExpression, [1] MachineFloat ModuleMonomial exponent_vectors NMMultivariateLaurentPolynomial exponenta DihedralGroup exponentb DihedralGroup exponential ExponentialOfUnivariatePuiseuxSeries RandomFloatDistributions exponential1 RandomFloatDistributions ExponentialExpansion coerce limitPlus ExponentialOfUnivariatePuiseuxSeries exponent exponential exponentialOrder exponentialOrder ExponentialOfUnivariatePuiseuxSeries exponents ExtAlgBasis Export3D writeObj ExportXml writeVRML writeXml expPiI NMAlgebraicNumber expPot InnerNormalBasisFieldFunctions expr_to_series MrvLimitPackage expressIdealMember PrincipalIdealDomain Expression getSimplifyDenomsFlag number? reduce setSimplifyDenomsFlag expression2Fortran FortranCodeTools expression2Fortran1 FortranCodeTools ExpressionFactorPolynomial factor factorPolynomial poly_factor ExpressionFunctions2 map ExpressionLinearSolve lin_sol ExpressionSolve replaceDiffs seriesSolve ExpressionSpace ExpressionSpace2 belong? box definingPolynomial distribute, [1] elt, [1], [2], [3], [4], [5], [6], [7], [8], [9] eval, [1], [2], [3], [4], [5], [6], [7] even? freeOf?, [1] height is?, [1] kernel, [1] kernels, [1] mainKernel map minPoly odd? operator operators paren subst, [1], [2] tower, [1] ExpressionSpaceFunctions1 map ExpressionSpaceFunctions2 map ExpressionSpaceODESolver seriesSolve, [1], [2], [3], [4], [5], [6], [7], [8], [9] ExpressionToOpenMath OMwrite, [1], [2], [3] ExpressionToUnivariatePowerSeries laurent, [1], [2], [3], [4] puiseux, [1], [2], [3], [4] series, [1], [2], [3], [4] taylor, [1], [2], [3], [4] ExpressionTubePlot constantToUnaryFunction tubePlot, [1], [2], [3] exprex HTMLFormat EXPRR2F GuessFiniteFunctions GuessPolynomialFunctions exprToGenUPS FunctionSpaceToUnivariatePowerSeries FunctionSpaceToUnivariatePowerSeries2 exprToPS FunctionSpaceToUnivariatePowerSeries, [1] FunctionSpaceToUnivariatePowerSeries2, [1] exprToUPS FunctionSpaceToUnivariatePowerSeries FunctionSpaceToUnivariatePowerSeries2 exprToXXP FunctionSpaceToExponentialExpansion expt RepeatedSquaring expToTrig JLWSExpression exQuo EuclideanModularRing ModularField ModularRing exquo ComplexCategory EntireRing FiniteAbelianMonoidRing MatrixCategory NonNegativeInteger OutputForm RectangularMatrixCategory StreamTaylorSeriesOperations UnivariateSkewPolynomialCategory ExtAlgBasis coerce degree exponents Nul extend ContinuedFraction LazyStreamAggregate MultivariateTaylorSeriesCategory NMPadicIntegerCategory PAdicIntegerCategory PointCategory RegularTriangularSetCategory, [1], [2], [3] TriangularSetCategory UnivariatePowerSeriesCategory extended_gcd U32VectorPolynomialOperations extendedALS FreeDivisionAlgebra extendedCoords SPointCategory extendedEuclidean EuclideanDomain, [1] extendedExpand JLWSExpression extendedint ParametricIntegration, [1], [2] extendedLLL LLLReduction extendedLLL! LLLReduction ExtendedNMPadicInteger *, [1], [2], [3], [4], [5] +, [1], [2], [3], [4], [5] coerce, [1] exp jpadic, [1] liftQ liftZ log O, [1] precision prime sqrt teichmuller valuation ExtendedPolynomialReduction reduce extendedResultant NewSparseUnivariatePolynomial extendedSimplify JLWSExpression, [1] extendedSubResultantGcd NewSparseUnivariatePolynomial RecursivePolynomialCategory extendIfCan TriangularSetCategory extendToPoint SBoundary ExtensibleLinearAggregate concat!, [1] delete!, [1] insert!, [1] merge!, [1] remove!, [1] removeDuplicates! select! extension FileNameCategory extensionDegree ExtensionField FiniteAlgebraicExtensionField ExtensionField / algebraic? degree extensionDegree Frobenius, [1] inGroundField? transcendenceDegree transcendent? exteriorDifferential DeRhamComplex external? FortranType externalList SymbolTable extract JLWSAggregate JLWSExpression SparseEchelonMatrix extract! BagAggregate extractBottom! DequeueAggregate extractClosed SubSpace extractIfCan TabulatedComputationPackage extractIndex SubSpace extractPoint SubSpace extractProperty SubSpace extractSplittingLeaf SplittingTree extractSymbol JetBundleFunctionCategory JetDifferentialEquation extractTop! DequeueAggregate eyeDistance ThreeDimensionalViewport

F

F RandomFloatDistributions F2EXPRR GuessFiniteFunctions GuessPolynomialFunctions F2FG InnerTrigonometricManipulations faceMap DeltaComplex FacetCategory empty? getMult order factor AlgebraicMultFact, [1] AlgFactor, [1] ComplexRootFindingPackage, [1], [2] ExpressionFactorPolynomial FreeDivisionAlgebra GaloisGroupFactorizer, [1], [2], [3], [4] GaussianFactorizationPackage GeneralizedMultivariateFactorize ILogic InnerAlgFactor InnerMultFact, [1] IntegerFactorizationPackage JLWSExpression, [1] JLWSInteger LatticeJoinOfMeets LatticeMeetOfJoins LinearOrdinaryDifferentialOperatorFactorizer, [1] LinearOrdinaryDifferentialOperatorFactorizer2 LyndonWord MPolyCatPolyFactorizer MPolyCatRationalFunctionFactorizer MRationalFactorize MultFiniteFactorize, [1] MultivariateFactorize, [1] NMFactored, [1] NMMultivariateLaurentPolynomial NMMultivariatePolynomial NMUnivariateLaurentPolynomial NMUnivariatePolynomial RationalFactorize RationalFunctionFactor UniqueFactorizationDomain UnivariateFiniteFieldFactorize XPolynomialFactor factor1 LinearOrdinaryDifferentialOperatorFactorizer factorAndSplit Equation factorByRecursion PolynomialFactorizationByRecursion Factored expand factorList factors flagFactor irreducibleFactor makeFR map mergeFactors nilFactor numberOfFactors primeFactor rational rational? rationalIfCan sqfrFactor unit unitNormalize FactoredFunctions log nthRoot FactoredFunctions2 map map_preserving FactoredFunctionUtilities refine factorFraction Fraction NMFraction factorGroebnerBasis GroebnerFactorizationPackage, [1] factorial CombinatorialFunction CombinatorialFunctionCategory IntegerCombinatoricFunctions factorials CombinatorialFunction, [1] CombinatorialOpsCategory, [1] FactoringUtilities completeEval degree lowerPolynomial normalDeriv raisePolynomial ran variables factorizationEquations FreeDivisionAlgebra factorizationGroebner FreeDivisionAlgebra factorizationSolve FreeDivisionAlgebra factorizationTransformations FreeDivisionAlgebra factorize FreeDivisionAlgebra JLMatrix, [1], [2], [3] factorList ChineseRemainderToolsForIntegralBases Factored JLWSExpression factorOfDegree GaloisGroupFactorizer, [1], [2], [3], [4] GaloisGroupPolynomialUtilities factorPolynomial ExpressionFactorPolynomial PolynomialFactorizationExplicit factors Factored FreeDivisionAlgebra FreeGroup FreeMonoid factorset ParametricLinearEquations factorsOfCyclicGroupSize FiniteFieldCategory factorsOfDegree GaloisGroupPolynomialUtilities factorSquareFree GaloisGroupFactorizer, [1], [2], [3], [4] JLWSExpression NMFactored, [1] RationalFactorize UnivariateFiniteFieldFactorize factorSquareFreeByRecursion PolynomialFactorizationByRecursion factorSquareFreeList JLWSExpression factorSquareFreePolynomial PolynomialFactorizationExplicit factorTerms JLWSExpression, [1], [2] factorTermsList JLWSExpression, [1] failed PatternMatchListResult PatternMatchResult failed? PatternMatchListResult PatternMatchResult FakePolynomial degree ground map, [1], [2] subst_var to_UP false Logic fffg FractionFreeFastGaussian, [1] FG2F InnerTrigonometricManipulations fglmIfCan FGLMIfCanPackage LexTriangularPackage FGLMIfCanPackage fglmIfCan groebner zeroDimensional? fibonacci IntegerNumberTheoryFunctions JLWSExpression JLWSInteger JLWSNumericalSpecialFunctions Field / FieldOfPrimeCharacteristic discreteLog order primeFrobenius, [1] File readIfCan! FileCategory close! flush iomode name open, [1] read! reopen! write! FileName filename FileNameCategory FileNameCategory coerce, [1] directory exists? extension filename name new readable? writable? FileSerialization deserialize serialize fill! IndexedAggregate TwoDimensionalArrayCategory fillPascalTriangle GaloisGroupUtilities filterUntil InfiniteTuple Stream filterWhile InfiniteTuple Stream find Collection find_relation LLLReduction findCycle Stream findInstance JLWSExpression, [1], [2], [3], [4], [5] findNode SceneNamedPoints findNonZeroEntry XDistributedPolynomialFunctions FindOrderFinite order findPoint SceneNamedPoints findRoot JLWSExpression Finite enumerate index lookup random size finite? CardinalNumber JLComplexFloat JLFloat NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField OnePointCompletion OrderedCompletion FiniteAbelianMonoidRing binomThmExpt content exquo fmecg ground ground? mapExponents minimumDegree pomopo! primitivePart FiniteAbelianMonoidRingFunctions2 map finiteAggregate FiniteAlgebraicExtensionField basis createNormalElement definingPolynomial degree extensionDegree generator linearAssociatedExp linearAssociatedLog, [1] linearAssociatedOrder minimalPolynomial norm normal? normalElement trace finiteBasis FiniteDivisor FiniteBiCPO FiniteCoDcpo FiniteCubicalComplex addCube addImpliedFaces boundary chain coerce cubicalComplex, [1], [2], [3] fundamentalGroup, [1] grade homology maxIndex product FiniteDcpo FiniteDivisor finiteBasis lSpaceBasis FiniteDivisorCategory decompose divisor, [1], [2], [3], [4], [5] generator, [1] ideal principal? reduce FiniteDivisorFunctions2 map FiniteField FiniteFieldCategory charthRoot createPrimitiveElement discreteLog factorsOfCyclicGroupSize order primitive? primitiveElement representationType tableForDiscreteLogarithm FiniteFieldCyclicGroup getZechTable FiniteFieldCyclicGroupExtension getZechTable FiniteFieldCyclicGroupExtensionByPolynomial getZechTable FiniteFieldExtension FiniteFieldExtensionByPolynomial FiniteFieldFunctions createLowComplexityNormalBasis createLowComplexityTable createMultiplicationMatrix createMultiplicationTable createZechTable sizeMultiplication FiniteFieldHomomorphisms coerce, [1] FiniteFieldNormalBasis getMultiplicationMatrix getMultiplicationTable sizeMultiplication FiniteFieldNormalBasisExtension getMultiplicationMatrix getMultiplicationTable sizeMultiplication FiniteFieldNormalBasisExtensionByPolynomial getMultiplicationMatrix getMultiplicationTable sizeMultiplication FiniteFieldPolynomialPackage clexSmaller? cnlexSmaller? createIrreduciblePoly createNormalPoly createNormalPrimitivePoly createPrimitiveNormalPoly createPrimitivePoly leastAffineMultiple lexSmaller? nextIrreduciblePoly nextNormalPoly nextNormalPrimitivePoly nextPrimitiveNormalPoly nextPrimitivePoly nlexSmaller? normal? numberOfIrreduciblePoly numberOfNormalPoly numberOfPrimitivePoly primitive? random, [1] reducedQPowers FiniteFieldPolynomialPackage2 rootOfIrreduciblePoly FiniteFieldSolveLinearPolynomialEquation solveLinearPolynomialEquation FiniteGraph + addArrow!, [1], [2], [3] addObject!, [1] adjacencyMatrix arrowName arrowsFromArrow arrowsFromNode arrowsToArrow arrowsToNode createWidth createX createY cycleClosed cycleOpen deepDiagramSvg diagramHeight diagramsSvg diagramSvg diagramWidth distance distanceMatrix flatten getArrowIndex getArrows getVertexIndex getVertices incidenceMatrix inDegree initial isAcyclic? isDirected? isDirectSuccessor? isFixPoint? isFunctional? isGreaterThan? kgraph laplacianMatrix loopsArrows loopsAtNode loopsNodes looseEquals map mapContra max, [1] merge min, [1] nodeFromArrow nodeFromNode nodeToArrow nodeToNode outDegree routeArrows routeNodes spanningForestArrow spanningForestNode spanningTreeArrow spanningTreeNode subdiagramSvg terminal unit FiniteGroup order FiniteGroupPackage permutationRepresentation regularRepresentation FiniteLattice finiteLattice, [1] finiteLattice FiniteLattice, [1] FiniteLinearAggregate FiniteLinearAggregateFunctions2 map reduce scan FiniteLinearAggregateSort heapSort quickSort shellSort FinitelyGenerated generators FiniteMoebiusFunction apply members moebiusFunction moebiusMatrix moebiusMu FinitePoset finitePoset Poset, [1] FiniteRankAlgebra characteristicPolynomial coordinates, [1] discriminant minimalPolynomial norm rank regularRepresentation represents trace traceMatrix FiniteRankNonAssociativeAlgebra alternative? antiAssociative? antiCommutative? associative? associatorDependence commutative? conditionsForIdempotents coordinates, [1] flexible? jacobiIdentity? jordanAdmissible? jordanAlgebra? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits lieAdmissible? lieAlgebra? noncommutativeJordanAlgebra? powerAssociative? rank recip represents rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits someBasis structuralConstants unit FiniteSetAggregate cardinality complement universe FiniteSetAggregateFunctions2 map reduce scan FiniteSimplicialComplex addImpliedFaces addSimplex boundary chain coChain coerce coHomology cone fundamentalGroup, [1] grade homology link makeDisjoint maxIndex merge minIndex oneSkeleton product refactorIndexes simplicialComplex, [1], [2] simplicialComplexIfCan, [1] simplicialJoin sort star fintegrate SparseMultivariateTaylorSeries TaylorSeries first FreeMagma FreeMonoid IndexedAggregate JLObjPair JLWSAggregate LinearAggregate PoincareBirkhoffWittLyndonBasis Product SequenceCategory TriangularSetCategory UnaryRecursiveAggregate, [1] firstn SequenceCategory firstSubsetGray GrayCode firstUncouplingMatrix PrecomputedAssociatedEquations fixed_mr FloatingPointConvertion fixedDivisor PolynomialNumberTheoryFunctions fixedPointExquo UnivariateTaylorSeriesODESolver fixedPoints Permutation fixPredicate PatternMatchPushDown flagFactor Factored flatten FiniteGraph InputForm flexible? FiniteRankNonAssociativeAlgebra FlexibleArray flexibleArray physicalLength physicalLength! removeRepeats! shrinkable flexibleArray FlexibleArray IndexedFlexibleArray Float atan convert exp1 get_output_mode log10, [1] log2, [1] normalize outputFixed, [1] outputFloating, [1] outputGeneral, [1] outputSpacing rationalApproximation, [1] relerror set_output_mode shift float FloatingPointSystem, [1] SExpressionCategory float? SExpressionCategory FloatElementaryFunctions exp exp1 exp_frac exp_series log log10 log2 log_series minus plus quotient round times FloatEllipticFunctions ellipticE, [1], [2], [3] ellipticF, [1] ellipticK, [1] ellipticPi, [1] jacobiCn, [1] jacobiDn, [1] jacobiSn, [1] jacobiZeta kprod, [1] landen, [1] landen1, [1] landen2, [1] modularInvariantJ rabs, [1] sn2, [1] weierstrassHalfPeriods weierstrassInvariants weierstrassP, [1] weierstrassPPrime, [1] floating_mr FloatingPointConvertion FloatingComplexPackage complexRoots, [1] complexSolve, [1], [2], [3] FloatingPointConvertion convert_mr convert_to_decimal fixed_mr floating_mr general_mr FloatingPointOperations minus plus times FloatingPointSystem / base bits, [1] decreasePrecision digits, [1] exponent float, [1] increasePrecision mantissa max min order precision, [1] toString, [1] FloatingRealPackage realRoots, [1] solve, [1], [2], [3] FloatLiouvilianFunctions Chi, [1] Ci, [1] Ei, [1] erf, [1] erfi, [1] fresnelC, [1] fresnelS, [1] gamma li, [1] Shi, [1] Si, [1] FloatSpecialFunctions Beta, [1] digamma, [1] dilog Gamma, [1] lambert_inverse_series, [1], [2], [3] lambert_via_newton1, [1], [2], [3] lambert_via_newton2, [1], [2], [3] lambertW, [1], [2], [3] li2 logGamma, [1] rabs, [1], [2], [3] riemannZeta floor FunctionalSpecialFunction InnerNMExactCalciumField JLWSExpression NMAlgebraicNumber NMExactCalciumField QuotientFieldCategory RealNumberSystem SpecialFunctionCategory flush BasicFile FileCategory fmecg FiniteAbelianMonoidRing forLoop FortranCode, [1] formalDiff JetBundleFunctionCategory, [1], [2] formalDiff2 JetBundleFunctionCategory, [1] format Formatter, [1] Format1D Format2D FormatArabic NumberFormats formatConstant FormatterCategory formatExpression FormatterCategory, [1], [2] formatFloat FormatterCategory formatFunction FormatterCategory formatFunctionSymbol FormatterCategory formatInteger FormatterCategory FormatLaTeX environment FormatMathJax environment FormatRadix NumberFormats FormatRoman NumberFormats formatStep Formatter formatString FormatterCategory

formatSymbol FormatterCategory FormattedOutput setFormats! Formatter epilogue format, [1] formatStep new operatorHandlers prologue setDefault! setEpilogue! setFormat! setPrologue! FormatterCategory altsupersub binary binomial box bracket defaultEpilogue defaultPrologue formatConstant formatExpression, [1], [2] formatFloat formatFunction formatFunctionSymbol formatInteger formatString formatSymbol fraction function infix integral matrix maxPrecedence minPrecedence nary naryPlus nothing nthRoot numberOfPrimes operatorHandlers overbar parenthesize parenthesizeIf pile power precedence prefix prime product scripts slash subscript sum theMap vconcat zag fort_clean_lines FortranCodeTools fort_format_types FortranCodeTools fortFormatHead FortranCodeTools fortFormatTypeLines FortranCodeTools fortran SimpleFortranProgram fortranCarriageReturn FortranTemplate fortranCharacter FortranType FortranCode assign, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30] block call code coerce comment, [1] common cond, [1] continue forLoop, [1] getCode gotoJump operation printCode printStatement repeatUntilLoop returns, [1], [2], [3], [4], [5], [6] save setLabelValue stop whileLoop FortranCodePackage1 identitySquareMatrix zeroMatrix, [1] zeroSquareMatrix zeroVector FortranCodeTools changeExprLength checkType clear_used_intrinsics displayLines dispStatement do_with_error_env1 do_with_error_env2 do_with_error_env3 expression2Fortran expression2Fortran1 fort_clean_lines fort_format_types fortFormatHead fortFormatTypeLines get_fort_indent get_used_intrinsics getStatement indentFortLevel newFortranTempVar statement2Fortran fortranComplex FortranType fortranDouble FortranType fortranDoubleComplex FortranType FortranExpression abs acos asin atan coerce cos cosh exp log log10 pi retract, [1], [2], [3], [4], [5], [6], [7] retractIfCan, [1], [2], [3], [4], [5], [6], [7] sin sinh sqrt tan tanh variables FortranFormat FortranFunctionCategory coerce, [1], [2] retract, [1], [2], [3], [4], [5] retractIfCan, [1], [2], [3], [4], [5] fortranInteger FortranType fortranLiteral FortranTemplate fortranLiteralLine FortranTemplate fortranLogical FortranType FortranMachineTypeCategory FortranMatrixCategory coerce, [1], [2], [3] FortranMatrixFunctionCategory coerce, [1], [2] retract, [1], [2], [3], [4], [5] retractIfCan, [1], [2], [3], [4], [5] FortranOutputStackPackage clearFortranOutputStack popFortranOutputStack pushFortranOutputStack, [1] showFortranOutputStack topFortranOutputStack FortranProgram coerce, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] FortranProgramCategory outputAsFortran fortranReal FortranType FortranScalarType = character? coerce, [1], [2], [3], [4] complex? double? doubleComplex? integer? logical? real? FortranTemplate fortranCarriageReturn fortranLiteral fortranLiteralLine processTemplate, [1] FortranType coerce, [1] construct, [1] dimensionsOf external? fortranCharacter fortranComplex fortranDouble fortranDoubleComplex fortranInteger fortranLogical fortranReal scalarTypeOf fortranTypeOf SymbolTable FortranVectorCategory coerce, [1], [2], [3] FortranVectorFunctionCategory coerce, [1], [2] retract, [1], [2], [3], [4], [5] retractIfCan, [1], [2], [3], [4], [5] FourierComponent argument cos sin sin? FourierSeries coerce, [1] makeCos makeSin fprindINFO GroebnerInternalPackage fracPart FullPartialFractionExpansion Fraction factorFraction fraction FormatterCategory FractionalIdeal basis denom ideal minimize norm numer randomLC FractionalIdealAsModule basis module, [1] norm FractionalIdealFunctions2 map fractionalTerms PartialFraction FractionFreeFastGaussian DiffAction DiffC fffg, [1] generalCoefficient generalInterpolation, [1] genVectorStream genVectorStream2 interpolate, [1] qShiftAction qShiftC ShiftAction ShiftC FractionFreeFastGaussianFractions generalInterpolation fractionFreeGauss! MatrixLinearAlgebraFunctions FractionFunctions2 map fractionPart BinaryExpansion DecimalExpansion FunctionalSpecialFunction HexadecimalExpansion QuotientFieldCategory RadixExpansion RealNumberSystem SpecialFunctionCategory fractRadix RadixExpansion fractRagits RadixExpansion FramedAlgebra discriminant regularRepresentation traceMatrix FramedModule basis convert, [1] coordinates, [1] rank represents FramedNonAssociativeAlgebra apply conditionsForIdempotents elt leftDiscriminant leftRankPolynomial leftRegularRepresentation leftTraceMatrix rightDiscriminant rightRankPolynomial rightRegularRepresentation rightTraceMatrix structuralConstants FramedNonAssociativeAlgebraFunctions2 map free? Lambda freeConvolution DistributionCategory freeCumulant DistributionCategory freeCumulant2moment MomentPackage freeCumulants DistributionCategory FreeDivisionAlgebra *, [1] +, [1] -, [1] /, [1], [2] ^, [1] addALS addColumns! addColumnsRows! addMIN addRows! addRowsColumns! admissibleLinearSystem appendSupport! blockElimination, [1] blockStructure coerce, [1], [2], [3], [4] columnSpan copy, [1] dimension disableAlternativeOutput disableDebugOutput display, [1] elt, [1] enableAlternativeOutput enableDebugOutput extendedALS factor factorizationEquations factorizationGroebner factorizationSolve factorizationTransformations factorize factors insertRowsColumns interval inverse invertALS invertMIN invertSTD leftFactor leftFamily leftMinimization linearization, [1] matrix, [1] minimal? minimize multiplyALS multiplyColumn! multiplyMIN multiplyRow! mutable? new, [1], [2] normalALS normalize! normalizeDIAG! normalizePLS! normalizeRHS! pencil polynomial polynomial? qaddColumns! qaddRows! qelt qnew, [1] qregular? qswapColumns! qswapRows! qzero?, [1], [2] rank ratexpr ratexprInverse refine!, [1] refined? refinementEquations refinementGroebner refinementSolve refinementTransformations refineUR!, [1] regular? removeRowsColumns representation rightFactor rightFamily rightMinimization rowSpan scalar?, [1] scaleALS setelt!, [1] setRefined! solutionVector, [1] summands swapColumns! swapRows! swapRowsColumns! toggleAlternativeOutput toggleDebugOutput transformationMatrix transformColumns! transformRows! variables vector, [1] zero? FreeGroup *, [1] ^ factors mapExpon mapGen nthExpon nthFactor size FreeLieAlgebra coef coerce, [1], [2] degree eval, [1] LiePoly lquo mirror rquo trunc varList FreeMagma * coerce first left length lexico mirror rest retractable? right varList FreeModule *, [1] FreeModuleCategory coefficient coefficients linearExtend monomials support FreeModuleCoefficientFunctions2 map FreeModuleFunctions2 linearExtend FreeMonoid *, [1] ^ divide factors first hclf hcrf length lexico lquo, [1] mapExpon mapGen mirror nthExpon nthFactor overlap rest rquo, [1] size varList freeMultiplicativeConvolution Distribution FreeNilpotentLie deepExpand dimension generator shallowExpand freeOf? ExpressionSpace2, [1] JetBundleFunctionCategory freePoissonDistribution DistributionPackage freeVariable? SKICombinators fresnelC DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] LiouvillianFunction LiouvillianFunctionCategory fresnelS DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] LiouvillianFunction LiouvillianFunctionCategory Frobenius ExtensionField, [1] NormRetractPackage frobenius ModMonic fromCoefficientRules JLWSExpression front QueueAggregate froot PolynomialRoots frst LazyStreamAggregate fsqrt GenerateEllipticIntegrals fullDisplay Database, [1] IndexCard fullPartialFraction FullPartialFractionExpansion FullPartialFractionExpansion + construct D, [1] differentiate, [1] fracPart fullPartialFraction polyPart FullyEvalableOver map FullyLinearlyExplicitOver FullyPatternMatchable FullyRetractableTo function FormatterCategory InputForm JetBundleExpression JetBundleXExpression MakeFunction, [1], [2], [3] FunctionalSpecialFunction abs airyAi airyAiPrime airyBi airyBiPrime angerJ belong? besselI besselJ besselK besselY Beta, [1] ceiling charlierC coerce_Q conjugate digamma diracDelta ellipticE, [1] ellipticF ellipticK ellipticPi floor fractionPart Gamma, [1] hahn_p hahnQ hahnR hahnS hankelH1 hankelH2 hermiteH hypergeometricF iAiryAi iAiryAiPrime iAiryBi iAiryBiPrime iiabs iiAiryAi iiAiryAiPrime iiAiryBi iiAiryBiPrime iiBesselI iiBesselJ iiBesselK iiBesselY iiBeta iiconjugate iidigamma iiGamma iiHypergeometricF iipolygamma iiPolylog iLambertW jacobiCn jacobiDn jacobiP jacobiSn jacobiTheta jacobiZeta kelvinBei kelvinBer kelvinKei kelvinKer krawtchoukK kummerM kummerU laguerreL lambertW legendreP legendreQ lerchPhi lommelS1 lommelS2 meijerG meixnerM meixnerP operator polygamma polylog racahR retract_Q riemannZeta sign struveH struveL unitStep weberE weierstrassP weierstrassPInverse weierstrassPPrime weierstrassSigma weierstrassZeta whittakerM whittakerW wilsonW FunctionCalled name functionExpand JLWSExpression, [1] FunctionFieldCategory absolutelyIrreducible? algSplitSimple branchPoint?, [1] branchPointAtInfinity? complementaryBasis differentiate elliptic elt genus hyperelliptic integral?, [1], [2] integralAtInfinity? integralBasis integralBasisAtInfinity integralCoordinates integralDerivationMatrix integralMatrix integralMatrixAtInfinity integralRepresents inverseIntegralMatrix inverseIntegralMatrixAtInfinity nonSingularModel normalizeAtInfinity numberOfComponents primitivePart ramified?, [1] ramifiedAtInfinity? rationalPoint? rationalPoints reduceBasisAtInfinity represents singular?, [1] singularAtInfinity? special_order yCoordinates FunctionFieldCategoryFunctions2 map FunctionFieldIntegralBasis integralBasis localIntegralBasis FunctionGraph * apply closedTensor coAdjoint contraAdjoint functionGraph, [1], [2], [3] limit functionGraph FunctionGraph, [1], [2], [3] functionName GuessOption GuessOptionFunctions0 functionNames GuessOption GuessOptionFunctions0 FunctionSpace FunctionSpace2 / algtower, [1] applyQuote, [1], [2], [3], [4] coerce, [1], [2], [3] convert denom denominator eval, [1], [2], [3], [4], [5] ground ground? isExpt, [1], [2] isMult isPlus isPower isTimes numer numerator univariate variables, [1] FunctionSpaceAssertions constant multiple optional FunctionSpaceAttachPredicates suchThat, [1] FunctionSpaceComplexIntegration complexIntegrate internalIntegrate internalIntegrate0 FunctionSpaceComplexIntegrationAux internalIntegrate FunctionSpaceFunctions2 map FunctionSpaceIntegration integrate FunctionSpacePrimitiveElement primitiveElement, [1] FunctionSpaceRationalRoots get_rational_roots FunctionSpaceReduce bringDown, [1] newReduc FunctionSpaceSum sum, [1] FunctionSpaceToExponentialExpansion exprToXXP localAbs FunctionSpaceToUnivariatePowerSeries exprToGenUPS exprToPS, [1] exprToUPS FunctionSpaceToUnivariatePowerSeries2 atan1 exprToGenUPS exprToPS, [1] exprToUPS integ integ_df integt localAbs my_digamma powToUPS fundamentalGroup DeltaComplex, [1] FiniteCubicalComplex, [1] FiniteSimplicialComplex, [1]

G

GaloisGroupFactorizationUtilities beauzamyBound bombieriNorm, [1] height infinityNorm length norm quadraticNorm rootBound singleFactorBound, [1] GaloisGroupFactorizer btwFact degreePartition eisensteinIrreducible? factor, [1], [2], [3], [4] factorOfDegree, [1], [2], [3], [4] factorSquareFree, [1], [2], [3], [4] henselFact makeFR modularFactor musserTrials, [1] numberOfFactors stopMusserTrials, [1] tryFunctionalDecomposition tryFunctionalDecomposition? useEisensteinCriterion useEisensteinCriterion? useSingleFactorBound useSingleFactorBound? GaloisGroupFactorizerSeparate separate_factors GaloisGroupPolynomialUtilities degreePartition factorOfDegree factorsOfDegree monic? reverse scaleRoots shiftRoots GaloisGroupUtilities fillPascalTriangle pascalTriangle rangePascalTriangle, [1] safeCeiling safeFloor safetyMargin, [1] sizePascalTriangle Gamma DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] FunctionalSpecialFunction, [1] InnerNMExactCalciumField JLFloat32SpecialFunctions2, [1] JLFloat64SpecialFunctions2, [1] JLFloatSpecialFunctions2, [1] JLWSExpression JLWSNumericalSpecialFunctions, [1], [2] MathematicalSymbols NMExactCalciumField SpecialFunctionCategory, [1] gamma FloatLiouvilianFunctions MathematicalSymbols gamma_inc_inv JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 GammaRegularized JLWSExpression JLWSNumericalSpecialFunctions gauge CartanKuranishi gaugeHilbert CartanKuranishi gaussianDistribution DistributionPackage GaussianFactorizationPackage factor prime? sumSquares gaussianMatrix JLWSUtilityFunctions gbasis GroebnerInternalPackage gbasisExtend GroebnerInternalPackage gcd GcdDomain, [1] HeuGcd ModularFactorizationOperations NonNegativeInteger PolynomialGcdPackage, [1], [2], [3] PositiveInteger PseudoRemainderSequence RecursivePolynomialCategory U32VectorPolynomialOperations, [1] GcdBasis gcdBasis gcdDecomposition, [1] gcdBasis CylindricalAlgebraicDecompositionUtilities GcdBasis gcdcofact HeuGcd gcdcofactprim HeuGcd gcdDecomposition GcdBasis, [1] GcdDomain gcd, [1] gcdPolynomial lcm, [1] gcdPolynomial GcdDomain GeneralPolynomialGcdPackage PolynomialFactorizationExplicit gcdprim HeuGcd gcdPrimitive PolynomialGcdPackage, [1], [2] gderiv StreamTaylorSeriesOperations GE Switch ge_minimal LinearOrdinaryDifferentialOperatorFactorizer2 gegenbauerC JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] gen NMMultivariateLaurentPolynomial gen? NMMultivariateLaurentPolynomial gen_ef GenerateEllipticIntegrals gen_exp LinearOrdinaryDifferentialOperatorFactorizer2 gen_Monte_Carlo_check ModularHermitePadeSolver general_Lambert_product StreamTaylorSeriesOperations general_mr FloatingPointConvertion generalCoefficient FractionFreeFastGaussian GeneralDistributedMultivariatePolynomial reorder GeneralHenselPackage completeHensel HenselLift reduction generalInfiniteProduct InfiniteLambertProduct generalInterpolation FractionFreeFastGaussian, [1] FractionFreeFastGaussianFractions generalizedContinuumHypothesisAssumed CardinalNumber generalizedContinuumHypothesisAssumed? CardinalNumber generalizedEigenvector EigenPackage, [1] InnerEigenPackage, [1] generalizedEigenvectors EigenPackage InnerEigenPackage, [1] GeneralizedFiniteMoebiusFunction apply canonicalMoebiusFunction generalizedMoebiusFunction members moebiusMatrix generalizedInverse InnerMatrixLinearAlgebraFunctions JLWSMatrix generalizedMoebiusFunction GeneralizedFiniteMoebiusFunction GeneralizedMultivariateFactorize factor GeneralizedUnivariatePowerSeries apply_taylor infsum removeZeros generalLambert StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries GeneralModulePolynomial * build leadingCoefficient leadingExponent leadingIndex leadingMonomial monomial multMonom reductum unitVector GeneralPolynomialGcdPackage gcdPolynomial randomR GeneralPolynomialSet convert generalPosition PolynomialIdeal GeneralQuaternion GeneralSparseTable GeneralTriangularSet generalTwoFactor TwoFactorize GeneralUnivariatePowerSeries coerce, [1] differentiate integrate GenerateEllipticIntegrals fsqrt gen_ef get_elliptics GenerateUnivariatePowerSeries laurent, [1] puiseux, [1] series, [1], [2], [3], [4], [5] taylor, [1], [2], [3] GenerateUnivariatePowerSeries1 laurent puiseux taylor, [1] GenerateUnivariatePowerSeries2 laurent, [1] puiseux, [1] series, [1], [2], [3], [4], [5] taylor, [1], [2], [3] generator AntiSymm CyclicGroup DeRhamComplex FiniteAlgebraicExtensionField FiniteDivisorCategory, [1] FreeNilpotentLie InfiniteCyclicGroup MonogenicAlgebra generator? NMFiniteField NMPrimeField generators FinitelyGenerated PermutationGroup PolynomialIdeal generic GenericNonAssociativeAlgebra, [1], [2], [3], [4], [5] generic? Pattern genericLeftDiscriminant GenericNonAssociativeAlgebra genericLeftMinimalPolynomial GenericNonAssociativeAlgebra genericLeftNorm GenericNonAssociativeAlgebra genericLeftTrace GenericNonAssociativeAlgebra genericLeftTraceForm GenericNonAssociativeAlgebra GenericNonAssociativeAlgebra coerce conditionsForIdempotents, [1] generic, [1], [2], [3], [4], [5] genericLeftDiscriminant genericLeftMinimalPolynomial genericLeftNorm genericLeftTrace genericLeftTraceForm genericRightDiscriminant genericRightMinimalPolynomial genericRightNorm genericRightTrace genericRightTraceForm leftRankPolynomial leftUnits rightRankPolynomial rightUnits genericPosition GroebnerSolve genericRightDiscriminant GenericNonAssociativeAlgebra genericRightMinimalPolynomial GenericNonAssociativeAlgebra genericRightNorm GenericNonAssociativeAlgebra genericRightTrace GenericNonAssociativeAlgebra genericRightTraceForm GenericNonAssociativeAlgebra GenExEuclid compBound reduction solveid tablePow testModulus gens NMMultivariateLaurentPolynomial genus FunctionFieldCategory GenusZeroIntegration lift multivariate palgint0, [1] palgLODE0, [1] palgRDE0, [1] rationalize_ir univariate genVectorStream FractionFreeFastGaussian genVectorStream2 FractionFreeFastGaussian geometric RandomIntegerDistributions get_char ModularFactorizationOperations get_elliptics GenerateEllipticIntegrals get_extension_degree ModularFactorizationOperations get_fort_indent FortranCodeTools get_mod ModularFactorizationOperations get_output_mode Float get_rational_roots FunctionSpaceRationalRoots PolynomialRationalRoots get_used_intrinsics FortranCodeTools get_value ParametricComplexCurve get_variables ModularHermitePade getArr Poset getArrowIndex FiniteGraph getArrows FiniteGraph getBadValues Pattern getBoundValue Lambda getCentre SBoundary getChildren ILogic Lambda LatticeJoinOfMeets LatticeMeetOfJoins SKICombinators getCode FortranCode getCurve TubePlot getDatabase OperationsQuery getDialect TexFormat getEq RecurrenceOperator getGoodPrime PointsOfFiniteOrderTools getGraph TwoDimensionalViewport getIndexes OrientedFacet getIndexesSigned OrientedFacet getIndexs ProductFacet getIntervals CubicalFacet getMatch PatternMatchResult getMax SBoundary getMaxLeft ProductFacet getMaxRight ProductFacet getMin SBoundary getMult FacetCategory getMultiplicationMatrix FiniteFieldNormalBasis FiniteFieldNormalBasisExtension FiniteFieldNormalBasisExtensionByPolynomial getMultiplicationTable FiniteFieldNormalBasis FiniteFieldNormalBasisExtension FiniteFieldNormalBasisExtensionByPolynomial getName VarCat getNames SceneNamedPoints getNotation JetBundleCategory JetBundleFunctionCategory getOrder UserDefinedPartialOrdering getPickedPoints TwoDimensionalViewport getRef InnerSparseUnivariatePowerSeries getSimplifyDenomsFlag Expression getStatement FortranCodeTools getStream InnerSparseUnivariatePowerSeries getType InputFormFunctions1 VarCat getVariable Lambda SKICombinators getVariableOrder UserDefinedVariableOrdering getVert Poset getVertexIndex FiniteGraph

getVertices FiniteGraph getZechTable FiniteFieldCyclicGroup FiniteFieldCyclicGroupExtension FiniteFieldCyclicGroupExtensionByPolynomial GF2FG InnerTrigonometricManipulations glb Poset GnuDraw gnuDraw, [1], [2], [3], [4], [5] gnuDraw GnuDraw, [1], [2], [3], [4], [5] goldenRatio JLWSExpression goldenRation JLMachineFloat goodPoint ChangeOfVariable GospersMethod GosperSummationMethod GosperSummationMethod GospersMethod gotoJump FortranCode grade CliffordAlgebra FiniteCubicalComplex FiniteSimplicialComplex GradedAlgebra 1 product GradedModule *, [1] + -, [1] 0 degree gradeInvolution CliffordAlgebra gradient MultiVariableCalculusFunctions graeffe ComplexRootFindingPackage gramschmidt RadicalEigenPackage graphCurves ViewportPackage, [1], [2] GraphicsDefaults adaptive, [1] clipPointsDefault, [1] drawToScale, [1] maxPoints, [1] minPoints, [1] screenResolution, [1] GraphImage appendPoint coerce, [1] component, [1], [2] graphImage key makeGraphImage, [1], [2] point pointLists putColorInfo ranges, [1] sendGraphImage units, [1] graphImage GraphImage graphs CycleIndicators TwoDimensionalViewport graphState TwoDimensionalViewport graphStates TwoDimensionalViewport GrayCode firstSubsetGray nextSubsetGray green Color groebgen LinGroebnerPackage groebner DistributedJetBundlePolynomial FGLMIfCanPackage GroebnerPackage, [1], [2] JetBundlePolynomial JetGroebner LexTriangularPackage NGroebnerPackage PolynomialIdeal groebner? PolynomialIdeal groebnerBasis JLWSExpression, [1] GroebnerFactorizationPackage factorGroebnerBasis, [1] groebnerFactorize, [1], [2], [3] groebnerFactorize GroebnerFactorizationPackage, [1], [2], [3] groebnerIdeal PolynomialIdeal GroebnerInternalPackage credPol critB critBonD critM critMonD1 critMTonD1 critpOrder critT fprindINFO gbasis gbasisExtend hMonic lepol makeCrit minGbasis prinb prindINFO prinpolINFO prinshINFO redPo redPol sPol updatD updatF virtualDegree GroebnerPackage groebner, [1], [2] normalForm GroebnerSolve genericPosition groebSolve testDim groebSolve GroebnerSolve ground FakePolynomial FiniteAbelianMonoidRing FunctionSpace2 JetBundleLinearFunction ground? FiniteAbelianMonoidRing FunctionSpace2 JetBundleLinearFunction JetLazyFunction Group / ^ commutator conjugate inv group_terms PartialFraction GroupPresentation cyclicGroup dihedralGroup directProduct groupPresentation, [1], [2] quotient, [1] refactor simplify, [1] symmetricGroup toPermutationIfCan, [1], [2] groupPresentation GroupPresentation, [1], [2] GroupPresentationFunctions1 convert GT Switch gudermannian JLWSExpression JLWSNumericalSpecialFunctions Guess algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP guess Guess, [1], [2], [3] GuessAlgebraicNumber, [1], [2], [3] GuessFinite, [1], [2], [3] GuessInteger, [1], [2], [3] GuessPolynomial, [1], [2], [3] GuessPolynomialInteger, [1], [2], [3] NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField guessADE Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] guessAlg Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] guessAlgDep Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] GuessAlgebraicNumber algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP guessBinRat Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessExpBin, [1] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] GuessExpBin guessBinRat, [1] guessExpRat, [1] guessExpRat Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessExpBin, [1] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] guessFE Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] GuessFinite algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP GuessFiniteFunctions EXPRR2F F2EXPRR guessHolo Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] GuessInteger algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP GuessOption allDegrees check checkExtraValues debug displayKind functionName functionNames homogeneous indexName maxDegree maxDerivative maxLevel maxMixedDegree maxPower maxShift maxSubst one option safety Somos variableName GuessOptionFunctions0 allDegrees check checkExtraValues checkOptions debug displayKind functionName functionNames homogeneous indexName maxDegree maxDerivative maxLevel maxMixedDegree maxPower maxShift maxSubst one safety Somos variableName guessPade Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] GuessPolynomial algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP GuessPolynomialFunctions EXPRR2F F2EXPRR iim2 iiretractVar GuessPolynomialInteger algDepHP diffHP, [1] guess, [1], [2], [3] guessADE, [1], [2] guessAlg, [1] guessAlgDep, [1] guessBinRat, [1], [2] guessExpRat, [1], [2] guessFE, [1] guessHolo, [1], [2] guessPade, [1] guessPRec, [1], [2] guessRat, [1], [2] guessRec, [1], [2] shiftHP, [1] substHP guessPRec Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] guessRat Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2] guessRec Guess, [1], [2] GuessAlgebraicNumber, [1], [2] GuessFinite, [1], [2] GuessInteger, [1], [2] GuessPolynomial, [1], [2] GuessPolynomialInteger, [1], [2]

H

hadamard UnivariateFormalPowerSeriesFunctions hahn_p FunctionalSpecialFunction SpecialFunctionCategory hahnQ FunctionalSpecialFunction SpecialFunctionCategory hahnR FunctionalSpecialFunction SpecialFunctionCategory hahnS FunctionalSpecialFunction SpecialFunctionCategory halfExtendedResultant1 NewSparseUnivariatePolynomial halfExtendedResultant2 NewSparseUnivariatePolynomial halfExtendedSubResultantGcd1 NewSparseUnivariatePolynomial RecursivePolynomialCategory halfExtendedSubResultantGcd2 NewSparseUnivariatePolynomial RecursivePolynomialCategory HallBasis basis inHallBasis? lfunc handle_imaginary PointsOfFiniteOrder handler OperatorHandlers hankelDeterminant MomentPackage hankelDeterminants DistributionCategory hankelH1 FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory hankelH1x JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 hankelH2 FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory hankelH2x JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 hankelIndices XDistributedPolynomialFunctions HankelMatrix HankelPackage hankelMatrix JLWSUtilityFunctions XDistributedPolynomialFunctions, [1] HankelPackage HankelMatrix hankelSystem XDistributedPolynomialFunctions harmonic IntegerNumberTheoryFunctions has? BasicOperator has_op? OutputFormTools hasDimension? Cell SimpleCell hash Hashable Hashable hash hashUpdate! hasHi UniversalSegment HashState new update! value HashTable hashUpdate! Hashable hasoln ParametricLinearEquations hasPredicate? Pattern hasSolution? LinearSystemMatrixPackage LinearSystemMatrixPackage1 hasTopPredicate? Pattern Hausdorff XExponentialPackage haversine JLWSExpression JLWSNumericalSpecialFunctions hcenter OutputBox hclf FreeMonoid hconcat OutputBox OutputForm, [1] hcrf FreeMonoid hdmpToDmp PolToPol hdmpToP PolToPol head DoublyLinkedAggregate RecursivePolynomialCategory headReduce RecursivePolynomialCategory TriangularSetCategory headReduced? RecursivePolynomialCategory, [1] TriangularSetCategory, [1] headRemainder PolynomialSetCategory Heap heap heap Heap heapSort FiniteLinearAggregateSort height ExpressionSpace2 GaloisGroupFactorizationUtilities KernelCategory OutputBox hensel_update VectorIntegerReconstructor henselFact GaloisGroupFactorizer HenselLift GeneralHenselPackage hermite PolynomialNumberTheoryFunctions SmithNormalForm hermiteH FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions OrthogonalPolynomialFunctions SpecialFunctionCategory HermiteIntegrate AlgebraicHermiteIntegration, [1] TranscendentalHermiteIntegration, [1] hermitian? JLComplexF32Matrix JLComplexF64Matrix JLWSMatrix hermitianPart JLComplexF32Matrix JLComplexF64Matrix hermitianPart! JLComplexF32Matrix JLComplexF64Matrix hessenberg JLWSMatrix hessian MultiVariableCalculusFunctions HeuGcd content gcd gcdcofact gcdcofactprim gcdprim lintgcd

hex HexadecimalExpansion HexadecimalExpansion coerce, [1] fractionPart hex hexDigit CharacterClass hexDigit? Character high SegmentCategory hilbert CartanKuranishi hilbertMatrix JLWSUtilityFunctions hitherPlane ThreeDimensionalViewport hMonic GroebnerInternalPackage NGroebnerPackage homo_fact XPolynomialFactor homogeneous GuessOption GuessOptionFunctions0 homogeneous? AntiSymm DeRhamComplex HomogeneousAggregate any? count, [1] every? map map! max, [1] member? members min parts HomogeneousDirectProduct HomogeneousDistributedMultivariatePolynomial reorder Homology dispGenerators homology homology0 homologyc2 homologyGroup homologyz homologyzc2 homologyzz homology ChainComplex DeltaComplex FiniteCubicalComplex FiniteSimplicialComplex Homology homology0 Homology homologyc2 Homology homologyGroup Homology homologyz Homology homologyzc2 Homology homologyzz Homology HopfAlgebra antipode horizConcat TwoDimensionalArrayCategory, [1] horizJoin SparseEchelonMatrix horizSplit SparseEchelonMatrix TwoDimensionalArrayCategory, [1] hornerForm JLWSExpression HP_solve ModularHermitePadeSolver hp_solve VectorHermitePadeSolver HP_solve_A ModularHermitePade HP_solve_I ModularHermitePade HP_solve_M ModularHermitePade HP_solve_P ModularHermitePade HP_solve_PA ModularHermitePade hspace OutputForm HTMLFormat coerce coerceL coerceS display exprex htrigs TranscendentalManipulations hue Color Palette PointPackage hurwitzLerchPhi JLWSExpression JLWSNumericalSpecialFunctions hurwitzZeta JLWSExpression JLWSNumericalSpecialFunctions NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField HyperbolicFunctionCategory cosh coth csch sech sinh tanh hyperelliptic FunctionFieldCategory HyperellipticFiniteDivisor hyperFactorial JLWSExpression JLWSInteger JLWSNumericalSpecialFunctions hypergeometric0F1 DoubleFloatSpecialFunctions2, [1] JLWSExpression JLWSNumericalSpecialFunctions hypergeometric0F1Regularized JLWSExpression JLWSNumericalSpecialFunctions hypergeometric1F1 JLWSExpression JLWSNumericalSpecialFunctions NMAcbField NMComplexBall NMComplexField hypergeometric1F1Regularized JLWSExpression JLWSNumericalSpecialFunctions NMAcbField NMComplexBall NMComplexField hypergeometricF FunctionalSpecialFunction SpecialFunctionCategory hypergeometricU JLWSExpression JLWSNumericalSpecialFunctions NMAcbField NMComplexBall NMComplexField hypot JLComplexFloatSpecialFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions

I

I SKICombinators I16Matrix I16Vector I32Matrix I32Vector I8Matrix I8Vector iAiryAi FunctionalSpecialFunction iAiryAiPrime FunctionalSpecialFunction iAiryBi FunctionalSpecialFunction iAiryBiPrime FunctionalSpecialFunction iCompose InnerSparseUnivariatePowerSeries id MappingPackage1 id_map PartialDifferentialOperatorHelper ideal FiniteDivisorCategory FractionalIdeal PolynomialIdeal IdealDecompositionPackage contract primaryDecomp prime? radical zeroDimPrimary? zeroDimPrime? idealiser IntegralBasisTools, [1] idealiserMatrix IntegralBasisTools idealSimplify QuasiAlgebraicSet identification LieExponentials identity DenavitHartenbergMatrix JLFloat32Matrix JLFloat64Matrix JLMatrix STransform identityMatrix JLWSUtilityFunctions ThreeDimensionalMatrix identitySquareMatrix FortranCodePackage1 iexactQuo PolynomialSetCategory RecursivePolynomialCategory iExquo InnerSparseUnivariatePowerSeries ignore? DefiniteIntegrationTools iiabs FunctionalSpecialFunction iiacos ElementaryFunction iiacosh ElementaryFunction iiacot ElementaryFunction iiacoth ElementaryFunction iiacsc ElementaryFunction iiacsch ElementaryFunction iiAiryAi FunctionalSpecialFunction iiAiryAiPrime FunctionalSpecialFunction iiAiryBi FunctionalSpecialFunction iiAiryBiPrime FunctionalSpecialFunction iiasec ElementaryFunction iiasech ElementaryFunction iiasin ElementaryFunction iiasinh ElementaryFunction iiatan ElementaryFunction iiatanh ElementaryFunction iiBesselI FunctionalSpecialFunction iiBesselJ FunctionalSpecialFunction iiBesselK FunctionalSpecialFunction iiBesselY FunctionalSpecialFunction iiBeta FunctionalSpecialFunction iibinom CombinatorialFunction iiconjugate FunctionalSpecialFunction iicos ElementaryFunction iicosh ElementaryFunction iicot ElementaryFunction iicoth ElementaryFunction iicsc ElementaryFunction iicsch ElementaryFunction iidigamma FunctionalSpecialFunction iidprod CombinatorialFunction iidsum CombinatorialFunction iiexp ElementaryFunction iifact CombinatorialFunction iiGamma FunctionalSpecialFunction iiHypergeometricF FunctionalSpecialFunction iilog ElementaryFunction iim2 GuessPolynomialFunctions iiperm CombinatorialFunction iipolygamma FunctionalSpecialFunction iiPolylog FunctionalSpecialFunction iipow CombinatorialFunction iiretractVar GuessPolynomialFunctions iisec ElementaryFunction iisech ElementaryFunction iisin ElementaryFunction iisinh ElementaryFunction iisqrt2 ElementaryFunction iisqrt3 ElementaryFunction iitan ElementaryFunction iitanh ElementaryFunction iLambertW FunctionalSpecialFunction ILogic = ~ atom? deductions factor getChildren implies logicF logicT opType parseIL parseIL2 parseILTerm proposition redux toString toStringUnwrapped value imag ComplexCategory ComplexTrigonometricManipulations JLComplexF32Matrix JLComplexF32Vector JLComplexF64Matrix JLComplexF64Vector NMAlgebraicNumber TrigonometricManipulations imagE OctonionCategory imagI OctonionCategory QuaternionCategory imagi OctonionCategory imaginary ComplexCategory imaginary? InnerNMExactCalciumField NMExactCalciumField imagJ OctonionCategory QuaternionCategory imagj OctonionCategory imagK OctonionCategory QuaternionCategory imagk OctonionCategory imagSign NMAlgebraicNumber implies Boolean ILogic Poset in? PolynomialIdeal inBounds? SPointCategory inc IntegerNumberSystem incFail UnittestCount incFatal UnittestCount IncidenceAlgebra *, [1], [2], [3] + ^ apply, [1] incidenceAlgebra, [1] indices matrix incidenceAlgebra IncidenceAlgebra, [1] incidenceMatrix FiniteGraph incLibraryError UnittestCount inconsistent? ParametricLinearEquations, [1] incPass UnittestCount incr SegmentCategory increasePrecision FloatingPointSystem increment IncrementingMaps incrementBy IncrementingMaps IncrementingMaps increment incrementBy incrementKthElement SetOfMIntegersInOneToN incTest UnittestCount incXfFail UnittestCount incXfFatal UnittestCount incXfLibraryError UnittestCount incXfPass UnittestCount inDegree FiniteGraph indentFortLevel FortranCodeTools index Finite InnerNormalBasisFieldFunctions JetBundleCategory ModuleMonomial index? IndexedAggregate IndexCard coerce display elt fullDisplay IndexedAggregate entries entry? fill! first index? indices maxIndex minIndex swap! IndexedBits And Not Or IndexedDirectProductCategory listOfTerms numberOfMonomials IndexedDirectProductObject IndexedExponents IndexedFlexibleArray flexibleArray physicalLength physicalLength! removeRepeats! shrinkable IndexedJetBundle IndexedList IndexedMatrix IndexedOneDimensionalArray IndexedProductCategory construct constructOrdered leadingCoefficient leadingMonomial leadingSupport leadingTerm map monomial monomial? reductum IndexedString IndexedTwoDimensionalArray IndexedVector indexes SceneIFS indexName GuessOption GuessOptionFunctions0 indexToObject Poset indices IncidenceAlgebra IndexedAggregate indiceSubResultant PseudoRemainderSequence indiceSubResultantEuclidean PseudoRemainderSequence indicialEquation PrimitiveRatDE, [1] indicialEquationAtInfinity RationalLODE, [1] indicialEquations PrimitiveRatDE, [1], [2], [3] inf IntervalCategory OrderedAbelianMonoidSup infieldint RationalIntegration infieldIntegrate RationalFunctionIntegration infinite? OnePointCompletion OrderedCompletion InfiniteCyclicGroup exponent generator InfiniteLambertProduct evenInfiniteProduct generalInfiniteProduct infiniteProduct oddInfiniteProduct infiniteProduct InfiniteLambertProduct InfiniteTuple construct filterUntil filterWhile map select stream InfiniteTupleFunctions2 map InfiniteTupleFunctions3 map, [1], [2] Infinity infinity minusInfinity plusInfinity infinity Infinity InnerNMExactCalciumField, [1] NMExactCalciumField, [1] OnePointCompletion infinity? InnerNMExactCalciumField NMExactCalciumField infinityNorm GaloisGroupFactorizationUtilities infix FormatterCategory OutputForm, [1] infix? OutputForm infLex? SplittingNode infRittWu? QuasiComponentPackage RecursivePolynomialCategory SquareFreeQuasiComponentPackage TriangularSetCategory infsum GeneralizedUnivariatePowerSeries inGroundField? ExtensionField inHallBasis? HallBasis ini_rdata ModularFactorizationOperations init RecursivePolynomialCategory StepThrough initial DifferentialPolynomialCategory FiniteGraph initializeGroupForWordProblem PermutationGroup, [1] initiallyReduce RecursivePolynomialCategory TriangularSetCategory initiallyReduced? RecursivePolynomialCategory, [1] TriangularSetCategory, [1] initials TriangularSetCategory initTable! TabulatedComputationPackage InnerAlgFactor factor InnerCommonDenominator clearDenominator commonDenominator splitDenominator InnerEigenPackage characteristicPolynomial eigenvalues, [1] eigenvector eigenvectors, [1] generalizedEigenvector, [1] generalizedEigenvectors, [1] innerEigenvectors InnerNumericEigenPackage InnerEvalable eval, [1] InnerFiniteField InnerIndexedTwoDimensionalArray innerint ElementaryFunctionDefiniteIntegration InnerMatrixLinearAlgebraFunctions determinant generalizedInverse inverse nullity nullSpace rank row_operation_base row_operation_modular rowEchelon InnerMatrixQuotientFieldFunctions inverse nullSpace rowEchelon InnerModularGcd modularGcdPrimitive reduction InnerModularHermitePade do_modular_solve do_poly_integer merge2 merge_exponents InnerMultFact factor, [1] InnerNMExactCalciumField * /, [1] acos algebraic? asin atan ceiling coerce, [1], [2], [3], [4] complexNormalForm conjugate cos csign erf erfc erfi eulerGamma exp exp1 floor Gamma imaginary? infinity, [1] infinity? integer? jinecf, [1], [2], [3], [4] jlOptions negativeInfinity number? pi positiveInfinity pow random, [1] rational? real? retract retractIfCan, [1], [2], [3] sign signedInfinity? sin tan undefined undefined? unknown unknown? unsignedInfinity? InnerNormalBasisFieldFunctions * / ^ basis dAndcExp expPot index inv lookup minimalPolynomial norm normal? normalElement pol qPot random repSq setFieldInfo trace xn InnerNumericEigenPackage charpol innerEigenvectors solve1 InnerNumericFloatSolvePackage innerSolve innerSolve1, [1] makeEq InnerPAdicInteger InnerPolySign signAround, [1], [2] InnerPolySum sum, [1] InnerPrimeField quadraticNonResidue sqrt innerSolve InnerNumericFloatSolvePackage innerSolve1 InnerNumericFloatSolvePackage, [1] InnerSparseUnivariatePowerSeries cAcos cAcosh cAcot cAcoth cAcsc cAcsch cAsec cAsech cAsin cAsinh cAtan cAtanh cCos cCosh cCot cCoth cCsc cCsch cExp cLog cPower cRationalPower cSec cSech cSin cSinh cTan cTanh getRef getStream iCompose iExquo integrate makeSeries monomial? multiplyCoefficients series seriesToOutputForm taylorQuoByVar

InnerTable InnerTaylorSeries *, [1], [2] coefficients order, [1] pole? series InnerTrigonometricManipulations do_liou explogs2trigs F2FG FG2F GF2FG trigs2explogs input BasicOperator, [1] InputForm * + / 0 1 ^, [1] binary compile convert declare flatten function interpret interpret_in_new_env lambda parse unparse InputFormFunctions1 atType coerceToType getType interpret packageCall, [1] pretendOfType inR? Pattern inRadical? PolynomialIdeal inrootof AlgebraicFunction insert JetDifferentialEquation JLWSAggregate LinearAggregate, [1] insert! BagAggregate BinarySearchTree BinaryTournament ExtensibleLinearAggregate, [1] MultiDictionary TabulatedComputationPackage insertBottom! DequeueAggregate insertionSort! SortPackage, [1] insertMatch PatternMatchResult insertRoot! BinarySearchTree insertRowsColumns FreeDivisionAlgebra LinearMultivariateMatrixPencil insertTop! DequeueAggregate inspect BagAggregate int ODEIntegration OutputForm, [1], [2] StreamTaylorSeriesOperations intBasis VectorSpaceBasis, [1], [2], [3] intChoose MultivariateSquareFree intcompBasis LinGroebnerPackage integ FunctionSpaceToUnivariatePowerSeries2 integ_df FunctionSpaceToUnivariatePowerSeries2 Integer random seedRandom integer IntegerRetractions JLWSInteger OutputFormTools SExpressionCategory integer? FortranScalarType InnerNMExactCalciumField IntegerRetractions JLComplexFloat JLFloat JLWSExpression NMAcbField NMAlgebraicNumber NMArbField NMComplexBall NMComplexField NMExactCalciumField NMRealBall NMRealField OutputFormTools SExpressionCategory IntegerBits bitCoef bitTruth integerBound BoundIntegerRoots PolynomialRationalRoots IntegerCombinatoricFunctions binomial catalan distinct_partition factorial multinomial partition permutation stirling1 stirling2 IntegerFactorizationPackage BasicMethod factor PollardSmallFactor squareFree integerIfCan IntegerRetractions IntegerLinearDependence linearDependenceOverZ linearlyDependentOverZ? particularSolutionOverQ, [1] solveLinearlyOverQ, [1] IntegerLocalizedAtPrime exponent unitPart IntegerMod IntegerNumberSystem addmod base bit? copy dec even? inc invmod length mask mulmod odd? positiveRemainder powmod random rational rational? rationalIfCan shift submod symmetricRemainder IntegerNumberTheoryFunctions bernoulli carmichaelLambda chineseRemainder divisors euler eulerPhi fibonacci harmonic jacobi legendre moebiusMu numberOfDivisors sumOfDivisors sumOfKthPowerDivisors integerPart JLWSAPReal JLWSReal SmallOrdinal IntegerPrimesPackage nextPrime prevPrime prime? primes IntegerRetractions integer integer? integerIfCan IntegerRoots approxNthRoot approxSqrt perfectNthPower? perfectNthRoot, [1] perfectSqrt perfectSquare? integers StreamTaylorSeriesOperations IntegerSmithNormalForm completeSmith smith, [1] IntegerSolveLinearPolynomialEquation solveLinearPolynomialEquation integral FormatterCategory IntegrationResult, [1] LiouvillianFunction, [1] PrimitiveFunctionCategory, [1] integral? FunctionFieldCategory, [1], [2] integralAtInfinity? FunctionFieldCategory integralBasis FunctionFieldCategory FunctionFieldIntegralBasis NumberFieldIntegralBasis PAdicWildFunctionFieldIntegralBasis WildFunctionFieldIntegralBasis integralBasisAtInfinity FunctionFieldCategory IntegralBasisPolynomialTools mapBivariate mapMatrixIfCan mapUnivariate, [1] mapUnivariateIfCan IntegralBasisTools diagonalProduct divideIfCan! idealiser, [1] idealiserMatrix leastPower matrixGcd moduleSum integralCoordinates FunctionFieldCategory integralDerivationMatrix FunctionFieldCategory IntegralDomain integralLastSubResultant RegularTriangularSetGcdPackage integralMatrix FunctionFieldCategory integralMatrixAtInfinity FunctionFieldCategory integralRepresents FunctionFieldCategory integrate DistributionPolynomialPackage ElementaryFunctionDefiniteIntegration, [1] FunctionSpaceIntegration GeneralUnivariatePowerSeries InnerSparseUnivariatePowerSeries IntegrationResultRFToFunction JetBundleCategory JLWSExpression, [1], [2] MultivariateTaylorSeriesCategory Polynomial RationalFunctionDefiniteIntegration, [1], [2], [3] RationalIntegration SparseMultivariateTaylorSeries SparseUnivariateLaurentSeries SparseUnivariatePuiseuxSeries SparseUnivariateTaylorSeries StreamExponentialSeriesOperations StreamTaylorSeriesOperations TaylorSeries UnivariateFormalPowerSeries UnivariateLaurentSeries UnivariatePolynomialCategory UnivariatePuiseuxSeries UnivariateSeriesWithRationalExponents, [1] UnivariateTaylorSeries integrate_sols IntegrateSolutions RationalLODE integrateIfCan JetBundleCategory IntegrateSolutions integrate_sols IntegrationResult differentiate, [1] elem? integral, [1] logpart mkAnswer notelem ratpart IntegrationResultFunctions2 map, [1], [2], [3] IntegrationResultRFToFunction complexExpand complexIntegrate expand integrate split IntegrationResultToFunction complexExpand expand split IntegrationTools kmax ksec mkPrim removeConstantTerm union vark varselect integt FunctionSpaceToUnivariatePowerSeries2 intensity ThreeDimensionalViewport internal? SubSpace internalAugment RegularTriangularSet RegularTriangularSetCategory, [1] SquareFreeRegularTriangularSet internalDecompose RegularSetDecompositionPackage, [1], [2] SquareFreeRegularSetDecompositionPackage, [1], [2] internalInfRittWu? QuasiComponentPackage SquareFreeQuasiComponentPackage internalIntegrate FunctionSpaceComplexIntegration FunctionSpaceComplexIntegrationAux RationalFunctionIntegration internalIntegrate0 FunctionSpaceComplexIntegration internalLastSubResultant RegularTriangularSetGcdPackage, [1] InternalPrintPackage iprint InternalRationalUnivariateRepresentationPackage checkRur rur internalSubPolSet? QuasiComponentPackage SquareFreeQuasiComponentPackage internalSubQuasiComponent? QuasiComponentPackage SquareFreeQuasiComponentPackage internalZeroSetSplit RegularTriangularSet SquareFreeRegularTriangularSet interpolate FractionFreeFastGaussian, [1] PolynomialInterpolation, [1] RationalInterpolation interpolatingPolynomial JLWSExpression interpret InputForm InputFormFunctions1 interpret_in_new_env InputForm interpretString TemplateUtilities interReduce PolynomialSetUtilitiesPackage intersect PolynomialIdeal, [1] RegularTriangularSetCategory, [1], [2], [3] SetAggregate intersection JLWSAggregate SBoundary Interval interval FreeDivisionAlgebra IntervalCategory, [1], [2] IntervalCategory contains? inf interval, [1], [2] negative? positive? qinterval sup width intoMatrix LinearSystemPolynomialPackage inv DivisionRing Equation EuclideanModularRing Group InnerNormalBasisFieldFunctions ModularRing OctonionCategory invdigamma JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 inverse FreeDivisionAlgebra InnerMatrixLinearAlgebraFunctions InnerMatrixQuotientFieldFunctions JLMatrix JLWSMatrix MatrixCategory MatrixLinearAlgebraFunctions SquareMatrixCategory TableauxBumpers inverse_cyclotomic CyclotomicUtilities inverseBetaRegularized JLWSExpression JLWSNumericalSpecialFunctions inverseColeman SymmetricGroupCombinatoricFunctions inverseErf JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions inverseErfc JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions inverseGammaRegularized JLWSExpression JLWSNumericalSpecialFunctions inverseGudermannian JLWSExpression JLWSNumericalSpecialFunctions inverseHaversine JLWSExpression JLWSNumericalSpecialFunctions inverseIntegralMatrix FunctionFieldCategory inverseIntegralMatrixAtInfinity FunctionFieldCategory inverseJacobiCn JLWSExpression JLWSNumericalSpecialFunctions inverseJacobiSn JLWSExpression JLWSNumericalSpecialFunctions inverseLaplace InverseLaplaceTransform InverseLaplaceTransform inverseLaplace invertALS FreeDivisionAlgebra invertible? RegularTriangularSetCategory, [1] invertibleElseSplit? RegularTriangularSetCategory invertibleSet RegularTriangularSetCategory invertIfCan JLMatrix JLWSMatrix Matrix MatrixLinearAlgebraFunctions invertMIN FreeDivisionAlgebra invertSTD FreeDivisionAlgebra invmod IntegerNumberSystem invmultisect StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries iomode FileCategory Iota MathematicalSymbols iota MathematicalSymbols ipow CombinatorialFunction iprint InternalPrintPackage iroot AlgebraicFunction irootDep ElementaryFunctionStructurePackage irreducible? JLWSExpression, [1] ModularFactorization ModularFactorizationGeneral ModularFactorizationK UnivariateFiniteFieldFactorize irreducibleFactor Factored irreducibleFactors PolynomialSetUtilitiesPackage irreducibleRepresentation IrrRepSymNatPackage, [1], [2] IrrRepSymNatPackage dimensionOfIrreducibleRepresentation irreducibleRepresentation, [1], [2] Is PatternMatch, [1], [2], [3] is? BasicOperator ExpressionSpace2, [1] KernelCategory, [1] PatternMatch, [1] is_symbol? OutputFormTools isAbsolutelyIrreducible? RepresentationPackage2, [1] isAcyclic? FiniteGraph isAntiChain? Poset isAntisymmetric? Poset isBasis? VectorSpaceBasis isBoundNode? Lambda isBox? SBoundary isChain? Poset isCompound? Lambda isDirected? FiniteGraph isDirectSuccessor? FiniteGraph isEllipse? SBoundary isExpt FunctionSpace2, [1], [2] Pattern PolynomialCategory PolynomialCategoryQuotientFunctions isFixPoint? FiniteGraph isFreeNode? Lambda isFunctional? FiniteGraph isGreaterThan? FiniteGraph isI? SKICombinators isK? SKICombinators isLambda? Lambda isList Pattern isMult FunctionSpace2 isNodeBranch? SceneNamedPoints isNodeLeaf? SceneNamedPoints isNull? SBoundary isobaric? DifferentialPolynomialCategory isOp Pattern, [1] isPlus FunctionSpace2 Pattern PolynomialCategory PolynomialCategoryQuotientFunctions isPoint? SPointCategory isPointLeaf? SceneNamedPoints isPower FunctionSpace2 Pattern PolynomialCategoryQuotientFunctions isQuotient Pattern isS? SKICombinators isSubsetOf? OrientedFacet isTimes FunctionSpace2 Pattern PolynomialCategory PolynomialCategoryQuotientFunctions isVector? SPointCategory iter MappingPackageInternalHacks1 iteratedInitials RecursivePolynomialCategory

J

jacobi IntegerNumberTheoryFunctions jacobi2poly MomentPackage jacobiAmplitude JLWSExpression JLWSNumericalSpecialFunctions jacobian MultiVariableCalculusFunctions jacobiCn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory jacobiDn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory jacobiIdentity? FiniteRankNonAssociativeAlgebra jacobiMatrix JetBundleFunctionCategory, [1] JetDifferentialEquation jacobiP FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory jacobiParameters DistributionCategory, [1] jacobiPathArray PathArrayPackage jacobiSn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory jacobiTheta FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory jacobiZeta FloatEllipticFunctions FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory janko2 PermutationGroupExamples, [1] jbigint JLObjBigInt, [1] jcf32 JLComplexF32, [1] jcf64 JLComplexF64, [1] jcfloat JLComplexFloat, [1], [2] jcfloat32 JLObjComplexF32 jcfloat64 JLObjComplexF64 JContinuedFraction DistributionContinuedFractionPackage, [1] jdframe JLDataFrame, [1] jdict JLObjDict jdlink JLObjDynamicLinker JetBundle coerce D JetBundleBaseFunctionCategory JetBundleCategory 1 > allRepeated class, [1] derivativeOf? differentiate dimJ dimS getNotation index integrate integrateIfCan m2r multiIndex name numDepVar numIndVar one? order P, [1], [2], [3] Pm Pr r2m repeatedIndex setNotation type U, [1] variables, [1] weight X, [1] JetBundleExpression coerce, [1], [2], [3] function numerJP reduce JetBundleFunctionCategory autoReduce class coerce const? denominator differentiate dimension dSubst extractSymbol formalDiff, [1], [2] formalDiff2, [1] freeOf? getNotation jacobiMatrix, [1] jetVariables leadingDer numDepVar numerator numIndVar order orderDim P, [1], [2], [3] reduceMod setNotation simplify simpMod, [1] simpOne solveFor sortLD subst symbol U, [1] X, [1] JetBundleLinearFunction coerce, [1], [2] ground ground? retract retractIfCan JetBundlePolynomial groebner JetBundleSymAna coerce D JetBundleXExpression coerce, [1] function reduce retract retractIfCan JetCoordinateTransformation transform, [1] JetDifferential coefficient coefficients contract copy d, [1] differentials dP dU dX eval lie JetDifferentialEquation analyseSymbol coerce copy dimension display extractSymbol insert jacobiMatrix join makeSystem order printSys project prolong, [1] prolongMV prolongSymbol retract setSimpMode simplify tableau, [1] JetGroebner groebner JetLazyFunction * coerce, [1] collect eqRep? eval eval1 ground? statistics jetVariables JetBundleFunctionCategory JetVectorField coefficient coefficients commutator copy diff diffP diffU diffX directions eval lie prolong table jf32 JLFloat32, [1], [2] jf64 JLFloat64, [1], [2] jfalse JLObjBoolean jfloat JLFloat, [1], [2], [3] jfloat32 JLObjFloat32, [1], [2] jfloat64 JLObjFloat64, [1], [2] JFriCASSupport setFormat! setFormats! ji64 JLInt64, [1] jinc JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 jinecf InnerNMExactCalciumField, [1], [2], [3], [4] jint64 JLObjInt64, [1] jlAbout JLObjectType jlAddPackage JLUtilityFunctions jlApply JLComplexF32Matrix, [1], [2] JLComplexF32Vector, [1], [2] JLComplexF64Matrix, [1], [2] JLComplexF64Vector, [1], [2] JLComplexFloat, [1], [2] JLFloat, [1], [2] JLFloat32Matrix, [1], [2], [3] JLFloat32Vector, [1], [2], [3], [4], [5] JLFloat64Matrix, [1], [2], [3] JLFloat64Vector, [1], [2], [3], [4], [5] JLMachineFloat, [1], [2] JLObjComplexF32, [1], [2] JLObjComplexF64, [1], [2] JLObjectType, [1], [2], [3], [4] jlApplyFunction JLF32ArrayFunctions, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] JLF64ArrayFunctions, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] jlApplyFunction! JLF32ArrayFunctions, [1], [2], [3], [4], [5], [6], [7] JLF64ArrayFunctions, [1], [2], [3], [4], [5], [6], [7] jlApprox? JLComplexF32 JLComplexF32Matrix JLComplexF32Vector JLComplexF64 JLComplexF64Matrix JLComplexF64Vector JLComplexFloat, [1] JLFloat, [1] JLFloat32Matrix JLFloat32Vector JLFloat64Matrix JLFloat64Vector JLMachineFloat JLMatrix JLObjFloat32, [1] JLObjFloat64, [1] JLWSAPComplex JLWSAPReal JLWSComplex JLWSReal JLArbitraryPrecision precision jlBar JLPlotFunctions jlBar! JLPlotFunctions jlBICApply JLObjBigInt, [1], [2] jlCApply JLMachineFloat, [1], [2] JLCF32LinearAlgebra conditionNumber, [1] condSkeel eigen eigen! eigenSystem eigenSystem! eigvals eigvals! eigvecs exp log mpInverse norm, [1], [2], [3] normalize, [1] normalize!, [1] operatorNorm, [1] rank rank! solve solve! sqrt svd svd! svdvals svdvals! JLCF64LinearAlgebra conditionNumber, [1] condSkeel eigen eigen! eigenSystem eigenSystem! eigvals eigvals! eigvecs exp log mpInverse norm, [1], [2], [3] normalize, [1] normalize!, [1] operatorNorm, [1] rank rank! solve solve! sqrt svd svd! svdvals svdvals! jlCollect JLObject JLCommutativeRing JLComplexF32 jcf32, [1] jlApprox? JLComplexF32Matrix adjoint adjoint! coerce copy! diagonalMatrix hermitian? hermitianPart hermitianPart! imag jlApply, [1], [2] jlApprox? jlDisplay jlVector juliaCMPrint nrand positiveDefinite? real transpose! urand01 JLComplexF32MatrixTranscendentalFunctions JLComplexF32SquareMatrix coerce qcoerce squareMatrix JLComplexF32Vector copy! imag jlApply, [1], [2] jlApprox? jlDisplay juliaCVPrint nrand qnew real urand01 vector JLComplexF64 jcf64, [1] jlApprox? JLComplexF64Matrix adjoint adjoint! coerce copy! diagonalMatrix hermitian? hermitianPart hermitianPart! imag jlApply, [1], [2] jlApprox? jlDisplay jlVector juliaCMPrint nrand positiveDefinite? real transpose! urand01 JLComplexF64MatrixTranscendentalFunctions acos acosd acosh acot acotd acoth acsc acscd acsch asec asecd asech asin asind asinh atan atand atanh cis cos cosd cosh cot coth csc csch sec sech sin sind sinh tan tand tanh JLComplexF64SquareMatrix coerce qcoerce squareMatrix JLComplexF64Vector copy! imag jlApply, [1], [2] jlApprox? jlDisplay juliaCVPrint nrand qnew real urand01 vector JLComplexFloat * /, [1] atan, [1] cis cispi coerce, [1] exp exp1 exp10 exp2 expm1 finite? integer? jcfloat, [1], [2] jlApply, [1], [2] jlApprox?, [1] log10 log1p log2 nrand precision, [1] real? urand01 JLComplexFloatSpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2Rad hypot rad2Deg secd sinc sind sinpi tand tanpi jlContour JLDrawFunctions JLPlotFunctions, [1] jlContour! JLDrawFunctions JLPlotFunctions, [1] jlContourf JLDrawFunctions JLPlotFunctions, [1] jlContourf! JLDrawFunctions JLPlotFunctions, [1] jlCurves JLPlotFunctions jlCurves! JLPlotFunctions JLDataFrame jdframe, [1] jlDescribe matrix jlDefined? JLUtilityFunctions, [1] jlDensity JLPlotFunctions jlDensity! JLPlotFunctions jlDescribe JLDataFrame jlDisplay JLComplexF32Matrix JLComplexF32Vector JLComplexF64Matrix JLComplexF64Vector JLFloat32Matrix JLFloat32Vector JLFloat64Matrix JLFloat64Vector JLInt64Vector JLObjectType JLWSExpression, [1] jlDlCApply JLObjDynamicLinker, [1], [2], [3], [4], [5] jlDlClose JLObjDynamicLinker jlDlFindLib JLObjDynamicLinker jlDlList JLObjDynamicLinker jlDlOpen JLObjDynamicLinker, [1], [2], [3] jlDlPath JLObjDynamicLinker, [1] jlDlSym JLObjDynamicLinker JLDrawFunctions jlContour jlContour! jlContourf jlContourf! jlPlot, [1] jlPlot!, [1] jlSurface jlSurface! jlWireframe jlWireframe! jlEval JLWSExpression, [1], [2] JLWSObject jlEvalString JLUtilityFunctions, [1], [2], [3], [4], [5], [6], [7], [8] JLF32ArrayFunctions jlApplyFunction, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] jlApplyFunction!, [1], [2], [3], [4], [5], [6], [7] jlF32CApply JLObjFloat32, [1], [2] JLF32LinearAlgebra conditionNumber, [1] condSkeel eigen eigen! eigenSystem eigenSystem! eigvals eigvals! eigvecs exp log logDeterminant lu lu! luReorder luReorder! mpInverse norm, [1], [2], [3] normalize, [1] normalize!, [1] operatorNorm, [1] rank rank! solve solve! sqrt svd svd! svdvals svdvals! trace tril tril! triu triu! JLF32MatrixTranscendentalFunctions JLF32SquareMatrix qcoerce squareMatrix JLF64ArrayFunctions jlApplyFunction, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] jlApplyFunction!, [1], [2], [3], [4], [5], [6], [7] jlF64CApply JLObjFloat64, [1], [2] JLF64LinearAlgebra conditionNumber, [1] condSkeel eigen eigen! eigenSystem eigenSystem! eigvals eigvals! eigvecs exp jlPeakFlops log logDeterminant lu lu! luReorder luReorder! mpInverse norm, [1], [2], [3] normalize, [1] normalize!, [1] operatorNorm, [1] rank rank! solve solve! sqrt svd svd! svdvals svdvals! trace tril tril! triu triu! JLF64MatrixTranscendentalFunctions acos acosd acosh acot acotd acoth acsc acscd acsch asec asecd asech asin asind asinh atan atand atanh cis cos cosd cosh cot coth csc csch sec sech sin sind sinh tan tand tanh JLF64SquareMatrix qcoerce squareMatrix JLFloat * / ^ atan cis cispi coerce, [1] exp exp1 exp10 exp2 expm1 finite? integer? jfloat, [1], [2], [3] jlApply, [1], [2] jlApprox?, [1] jlMPFRApply, [1], [2] log10 log1p log2 nrand precision, [1] urand01 JLFloat32 jf32, [1], [2] JLFloat32Matrix copy! diagonalMatrix identity jlApply, [1], [2], [3] jlApprox? jlDisplay jlVector juliaMPrint nrand positiveDefinite? skewPart symmetricPart symmetricPart! transpose! urand urand01 JLFloat32SpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2rad exp10 exp2 hypot ldexp log1p rad2deg secd sinc sind sinpi tand tanpi JLFloat32SpecialFunctions2 airyAi airyAiPrime airyAiPrimex airyAix airyBi airyBiPrime airyBiPrimex airyBix besselI besselIx besselJ besselJ0 besselJ1 besselJx besselK besselKx besselY besselY0 besselY1 besselYx Beta Ci dawson digamma Ei ellipticE ellipticK erf, [1] erfc erfcx erfi eta expint expintx Gamma, [1] gamma_inc_inv hankelH1 hankelH1x hankelH2 hankelH2x invdigamma inverseErf inverseErfc jinc logabsbeta logabsgamma logBeta logerfc logerfcx logGamma, [1] polygamma riemannZeta Si sphericalBesselJ sphericalBesselY trigamma JLFloat32Vector copy! jlApply, [1], [2], [3], [4], [5] jlApprox? jlDisplay juliaVPrint nrand qnew urand urand01 vector JLFloat32VectorFunctions2 map, [1] reduce scan JLFloat64 jf64, [1], [2] JLFloat64Matrix coerce copy! diagonalMatrix identity jlApply, [1], [2], [3] jlApprox? jlDisplay jlVector juliaMPrint nrand positiveDefinite? skewPart symmetricPart symmetricPart! transpose! urand urand01 JLFloat64SpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2rad exp10 exp2 hypot ldexp log1p rad2deg secd sinc sind sinpi tand tanpi JLFloat64SpecialFunctions2 airyAi airyAiPrime airyAiPrimex airyAix airyBi airyBiPrime airyBiPrimex airyBix besselI besselIx besselJ besselJ0 besselJ1 besselJx besselK besselKx besselY besselY0 besselY1 besselYx Beta Ci dawson digamma Ei ellipticE ellipticK erf, [1] erfc erfcx erfi eta expint expintx Gamma, [1] gamma_inc_inv hankelH1 hankelH1x hankelH2 hankelH2x invdigamma inverseErf inverseErfc jinc logabsbeta logabsgamma logBeta logerfc logerfcx logGamma, [1] polygamma riemannZeta Si sphericalBesselJ sphericalBesselY trigamma JLFloat64Vector coerce coerce! copy! jlApply, [1], [2], [3], [4], [5] jlApprox? jlDisplay juliaVPrint nrand qnew urand urand01 vector JLFloat64VectorFunctions2 map, [1] reduce scan JLFloatSpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2Rad hypot ldexp rad2Deg secd sinc sind sinpi tand tanpi JLFloatSpecialFunctions2 airyAi besselJ0 besselJ1 besselY0 besselY1 Beta digamma Ei erf, [1] erfc erfcx eta expint Gamma, [1] inverseErf inverseErfc jinc logBeta logerfc logerfcx logGamma, [1] riemannZeta jlGCCollect JLUtilityFunctions jlGreedyEval JLWSExpression jlHead JLWSObject

jlId JLObjectType jlImport JLUtilityFunctions jlInclude JLUtilityFunctions jlInitialize JLUtilityFunctions JLInt64 coerce, [1] ji64, [1] max min string JLInt64Vector jlDisplay juliaIVPrint qnew vector jlLatex JLStringUtilities JLMachineFloat atan catalan eulerGamma exp expm1 goldenRation jlApply, [1], [2] jlApprox? jlCApply, [1], [2] jlString log10 log2 nan negativeInfinity nrand positiveInfinity urand01 JLMachineType JLMatrix coerce, [1], [2], [3], [4] diagonalMatrix eigenvalues factorize, [1], [2], [3] identity inverse invertIfCan jlApprox? jmatrix matrix new nrand, [1] radicalEigenvalues radicalEigenvaluesWithMultiplicities urand01, [1] JLMatrixCategory jlMessageStyled JLStringUtilities, [1] jlMPFRApply JLFloat, [1], [2] jlNMRing NMRing jlNumeric JLWSObject, [1] JLObjBigInt jbigint, [1] jlBICApply, [1], [2] JLObjBoolean coerce jfalse jtrue JLObjComplexF32 * /, [1] cis cispi jcfloat32 jlApply, [1], [2] JLObjComplexF64 * /, [1] cis cispi jcfloat64 jlApply, [1], [2] JLObjDict delete!, [1] elt, [1] jdict qelt, [1] setelt!, [1] JLObjDynamicLinker jdlink jlDlCApply, [1], [2], [3], [4], [5] jlDlClose jlDlFindLib jlDlList jlDlOpen, [1], [2], [3] jlDlPath, [1] jlDlSym JLObject coerce, [1], [2] jlCollect jobject, [1] jlObject JLObjectType NMRing JLObjectAggregate elt, [1] qelt, [1] JLObjectRing * JLObjectType coerce jlAbout jlApply, [1], [2], [3], [4] jlDisplay jlId jlObject jlRef jlref jlType mutable? nothing? string JLObjFloat32 * /, [1] cis cispi coerce, [1] convert jfloat32, [1], [2] jlApprox?, [1] jlF32CApply, [1], [2] JLObjFloat64 * /, [1] cis cispi coerce, [1] convert jfloat64, [1], [2] jlApprox?, [1] jlF64CApply, [1], [2] JLObjInt64 jint64, [1] JLObjPair first jpair last JLObjTuple jtuple, [1] jlOptions InnerNMExactCalciumField NMExactCalciumField jlPeakFlops JLF64LinearAlgebra jlPlot JLDrawFunctions, [1] JLPlotFunctions, [1], [2], [3] jlPlot! JLDrawFunctions, [1] JLPlotFunctions, [1], [2], [3] JLPlotFunctions jlBar jlBar! jlContour, [1] jlContour!, [1] jlContourf, [1] jlContourf!, [1] jlCurves jlCurves! jlDensity jlDensity! jlPlot, [1], [2], [3] jlPlot!, [1], [2], [3] jlPlotTitle! jlPlotXlabel! jlPlotXlims! jlPlotYlabel! jlPlotYlims! jlPlotZlabel! jlPlotZlims! jlRange, [1] jlSavePlot jlSurface, [1] jlSurface!, [1] jlWireframe, [1] jlWireframe!, [1] jlPlotTitle! JLPlotFunctions jlPlotXlabel! JLPlotFunctions jlPlotXlims! JLPlotFunctions jlPlotYlabel! JLPlotFunctions jlPlotYlims! JLPlotFunctions jlPlotZlabel! JLPlotFunctions jlPlotZlims! JLPlotFunctions jlRandomString JLUtilityFunctions jlRange JLPlotFunctions, [1] jlRef JLObjectType jlref JLObjectType jlRegex JLStringUtilities jlRegexMatch JLStringUtilities, [1], [2], [3], [4], [5] jlRegexMatch? JLStringUtilities jlRegexReplace JLStringUtilities JLRing jlSavePlot JLPlotFunctions jlSeed! JLUtilityFunctions jlSplit JLStringUtilities, [1] jlString JLMachineFloat JLStringUtilities JLStringUtilities jlLatex jlMessageStyled, [1] jlRegex jlRegexMatch, [1], [2], [3], [4], [5] jlRegexMatch? jlRegexReplace jlSplit, [1] jlString jlStyled jlSubstitute jlStyled JLStringUtilities jlSubstitute JLStringUtilities jlSurface JLDrawFunctions JLPlotFunctions, [1] jlSurface! JLDrawFunctions JLPlotFunctions, [1] JLSymbol coerce, [1] jsym, [1] jlSymbolic JLWSObject JLType string jlType JLObjectType jlUsing JLUtilityFunctions JLUtilityFunctions jlAddPackage jlDefined?, [1] jlEvalString, [1], [2], [3], [4], [5], [6], [7], [8] jlGCCollect jlImport jlInclude jlInitialize jlRandomString jlSeed! jlUsing JLVector coerce, [1] jvector kroneckerProduct nrand, [1] urand01, [1] vector jlVector JLComplexF32Matrix JLComplexF64Matrix JLFloat32Matrix JLFloat64Matrix JLVectorCategory JLVectorFunctions2 map, [1] reduce scan jlWireframe JLDrawFunctions JLPlotFunctions, [1] jlWireframe! JLDrawFunctions JLPlotFunctions, [1] jlWSAccuracy JLWSExpression JLWSAggregate # accumulate append coerce, [1] delete differences dimensions elt extract first insert intersection join jWSAggregate last length part prepend qelt qsetelt qsetelt! removeDuplicates replacePart rest reverse, [1], [2] riffle, [1] setelt setelt! setIntersection sort sorted? take, [1] total union JLWSAPComplex * atan coerce, [1], [2], [3] complex erf erfc exp jlApprox? jWSComplex, [1] log10 log2 sinc toString urand01 JLWSAPReal atan coerce, [1], [2], [3], [4] erf erfc exp integerPart jlApprox? jWSReal, [1], [2], [3], [4], [5] log10 log2 rationalApproximation, [1] sinc urand01 JLWSComplex * atan coerce, [1], [2], [3], [4], [5] complex erf erfc exp jlApprox? jWSComplex, [1] log10 log2 sinc toString urand01 jlWSDefined? JLWSExpression jlWSExport JLWSUtilityFunctions jlWSExportString JLWSUtilityFunctions JLWSExpression ^ apart, [1] atan barnesG BetaRegularized cancel, [1] catalan ceiling chebyshevT chebyshevU coefficient, [1] coefficientList coefficientRules, [1] coerce, [1], [2], [3], [4], [5], [6], [7] collect, [1] complexExpand, [1] coulombF coulombG coulombH1 coulombH2 dawson decompose dedekindEta defined? degree denominator derivative, [1] digamma dirichletEta dirichletL discriminant distribute, [1] dSolve, [1] dSolveValue, [1] EiEn ellipticE, [1] ellipticF ellipticK ellipticPi, [1] ellipticTheta ellipticThetaPrime erf erfc eulerE, [1] eulerGamma eulerPhi exactNumber? exp expand, [1] expandDenominator expandNumerator exponent, [1] expToTrig extendedExpand extendedSimplify, [1] extract factor, [1] factorList factorSquareFree factorSquareFreeList factorTerms, [1], [2] factorTermsList, [1] fibonacci findInstance, [1], [2], [3], [4], [5] findRoot floor fromCoefficientRules functionExpand, [1] Gamma GammaRegularized gegenbauerC, [1] goldenRatio groebnerBasis, [1] gudermannian haversine hermiteH hornerForm hurwitzLerchPhi hurwitzZeta hyperFactorial hypergeometric0F1 hypergeometric0F1Regularized hypergeometric1F1 hypergeometric1F1Regularized hypergeometricU integer? integrate, [1], [2] interpolatingPolynomial inverseBetaRegularized inverseErf inverseErfc inverseGammaRegularized inverseGudermannian inverseHaversine inverseJacobiCn inverseJacobiSn irreducible?, [1] jacobiAmplitude jacobiP jacobiZeta jlDisplay, [1] jlEval, [1], [2] jlGreedyEval jlWSAccuracy jlWSDefined? jlWSPrecision jlWSSetAccuracy jlWSSetOptions jlWSSetPrecision jWSData, [1], [2], [3], [4], [5], [6] jWSEqual jWSExpr, [1], [2], [3], [4], [5], [6], [7] jWSGreater jWSGreaterEqual jWSLess jWSLessEqual jWSNotEqual jWSQuantity, [1] jWSRule jWSString jWSTable, [1] key? keys kleinInvariantJ laguerreL, [1] lambertW legendreP, [1] legendreQ, [1] length lerchPhi level, [1] limit log10 log2 logBarnesG logGamma lookup, [1] machineNumber? mathieuC mathieuCharacteristicA mathieuCharacteristicB mathieuCharacteristicExponent mathieuCPrime mathieuS mathieuSPrime matrixForm maximize, [1], [2] maxLimit member? minimalPolynomial, [1] minimize, [1], [2] minLimit missing? modularLambda monomialList negative? normal, [1] number? numerator numerDenom numericDSolve, [1], [2] numericDSolveValue, [1], [2] numericIntegrate, [1] numericMaximize, [1], [2] numericMinimize, [1], [2] numericProduct, [1] numericSolve, [1] numericSum, [1] padeApproximant parabolicCylinderD pochhammer polylog polynomial?, [1] polynomialExtendedGCD polynomialFactor polynomialGCD, [1] polynomialLCM, [1] polynomialMod polynomialQuotient polynomialQuotientRemainder polynomialReduce polynomialRemainder positive? positiveInfinity powerExpand, [1] product, [1], [2] QBinomial QFactorial QGamma QPochhammer, [1] QPolyGamma, [1] quantityForm, [1] quantityMagnitude quantityUnit ramanujanTau ramanujanTauL ramanujanTauTheta ramanujanTauZ rational? rationalApproximation, [1] real? realNumeric? reduce, [1], [2], [3], [4], [5] refine replace, [1] replaceAll replaceAt replacePart replaceRepeated residue residueSum resultant retract, [1] retractIfCan, [1], [2], [3] riemannSiegelTheta riemannSiegelZ riemannZeta rootReduce round series siegelTheta, [1] simplify, [1] sinc solve, [1], [2], [3], [4], [5] sphericalBesselJ sphericalBesselY sphericalHankelH1 sphericalHankelH2 sphericalHarmonicY stieltjesGamma, [1] subResultants sum, [1], [2] symmetricPolynomial symmetricReduction, [1] toExpression, [1], [2] together toString traditionalForm trigExpand trigFactor trigFactorList trigReduce trigToExp values variables whittakerM whittakerW zernikeR zero? JLWSGaussianInteger coerce, [1] jWSGI random JLWSInteger / coerce, [1], [2] factor fibonacci hyperFactorial integer jWSInt QFactorial JLWSList coerce jWSList, [1] JLWSMatrix *, [1], [2], [3], [4], [5] + -, [1] ^, [1] adjoint adjugate antisymmetric? cholesky column diagonal diagonal? diagonalMatrix eigenSystem eigenvalues eigenvectors elt generalizedInverse hermitian? hessenberg inverse invertIfCan jordan jWSMatrix linearSolve lu matrix matrixFunction minors, [1] norm, [1] nullSpace permanent positiveDefinite? qelt qr qsetelt qsetelt! randomComplexMatrix randomRealMatrix row schur setelt square? svd svdvals symmetric? toString trace transpose JLWSNumber JLWSNumericalSpecialFunctions airyAi airyAiPrime airyBi airyBiPrime angerJ barnesG besselI besselJ besselK besselY Beta, [1] BetaRegularized charlierC chebyshevT chebyshevU coulombF coulombG coulombH1 coulombH2 dawson dedekindEta digamma, [1] dirichletEta dirichletL EiEn ellipticE, [1] ellipticF ellipticK ellipticPi, [1] ellipticTheta ellipticThetaPrime fibonacci Gamma, [1], [2] GammaRegularized gegenbauerC, [1] gudermannian hankelH1 hankelH2 haversine hermiteH hurwitzLerchPhi hurwitzZeta hyperFactorial hypergeometric0F1 hypergeometric0F1Regularized hypergeometric1F1 hypergeometric1F1Regularized hypergeometricU inverseBetaRegularized inverseErf inverseErfc inverseGammaRegularized inverseGudermannian inverseHaversine inverseJacobiCn inverseJacobiSn jacobiAmplitude jacobiCn jacobiDn jacobiP jacobiSn jacobiTheta jacobiZeta kelvinBei kelvinBer kelvinKei kelvinKer kleinInvariantJ kummerM kummerU laguerreL, [1] lambertW, [1] legendreP, [1] legendreQ, [1] lerchPhi logBarnesG logGamma lommelS1 lommelS2 mathieuC mathieuCharacteristicA mathieuCharacteristicB mathieuCharacteristicExponent mathieuCPrime mathieuS mathieuSPrime meixnerM modularLambda parabolicCylinderD pochhammer polygamma polylog, [1] QBinomial QFactorial QGamma QPochhammer, [1] QPolyGamma, [1] ramanujanTau ramanujanTauL ramanujanTauTheta ramanujanTauZ riemannSiegelTheta riemannSiegelZ riemannZeta, [1] sphericalBesselJ sphericalBesselY sphericalHankelH1 sphericalHankelH2 sphericalHarmonicY stieltjesGamma, [1] struveH struveL weberE weierstrassP weierstrassPInverse weierstrassPPrime weierstrassSigma weierstrassZeta whittakerM whittakerW zernikeR JLWSObject jlEval jlHead jlNumeric, [1] jlSymbolic jWSInterpret toString jlWSPlot JLWSUtilityFunctions jlWSPrecision JLWSExpression JLWSRational coerce, [1] convert jWSRat JLWSReal atan coerce, [1], [2], [3], [4], [5], [6], [7], [8] erf erfc exp integerPart jlApprox? jWSReal, [1], [2], [3], [4] log10 log2 rationalApproximation, [1] sinc urand01 JLWSRing jlWSSetAccuracy JLWSExpression jlWSSetOptions JLWSExpression jlWSSetPrecision JLWSExpression JLWSSymbol coerce, [1], [2], [3], [4], [5] jWSSym, [1] WComplex WFalse WInteger WList WMissing WRational WReal WRule WString WSymbol WTrue JLWSUtilityFunctions gaussianMatrix hankelMatrix hilbertMatrix identityMatrix jlWSExport jlWSExportString jlWSPlot range, [1], [2] seedRandom urand01Complex, [1] urand01Real, [1] vandermondeMatrix, [1] zeroMatrix JLWSVector *, [1], [2] + -, [1] coerce cross dot jWSVector, [1] norm transpose vector jmatrix JLMatrix jmp2nmlp NMMultivariateLaurentPolynomial jmp2nmp NMMultivariatePolynomial jnan NMAlgebraicNumber, [1], [2], [3], [4] jnball NMArbField NMRealBall NMRealField jncb NMAcbField, [1], [2], [3], [4], [5], [6], [7] NMComplexBall, [1], [2], [3], [4], [5], [6], [7] jncf NMComplexField, [1], [2], [3], [4], [5] jnecf NMExactCalciumField, [1], [2], [3], [4] jnff NMFiniteField, [1] jnint NMInteger jnpf NMPrimeField, [1] jnrb NMArbField, [1], [2], [3], [4], [5] NMRealBall, [1], [2], [3], [4], [5] jnrf NMRealField, [1], [2], [3] jnulp NMUnivariateLaurentPolynomial jnup NMUnivariatePolynomial jnzmod NMIntegerMod, [1] jobject JLObject, [1] join Dcpo JetDifferentialEquation JLWSAggregate LatticeJoinOfMeets LatticeMeetOfJoins OrientedFacet SparseEchelonMatrix joinIfCan Poset, [1] JoinSemilattice \/ jordan JLWSMatrix jordanAdmissible? FiniteRankNonAssociativeAlgebra jordanAlgebra? FiniteRankNonAssociativeAlgebra jpadic ExtendedNMPadicInteger, [1] NMPadicInteger, [1] jpair JLObjPair jsym JLSymbol, [1] jtrue JLObjBoolean jtuple JLObjTuple, [1] juliaCMPrint JLComplexF32Matrix JLComplexF64Matrix juliaCVPrint JLComplexF32Vector JLComplexF64Vector juliaIVPrint JLInt64Vector juliaMPrint JLFloat32Matrix JLFloat64Matrix juliaVPrint JLFloat32Vector JLFloat64Vector jvector JLVector jWSAggregate JLWSAggregate jWSComplex JLWSAPComplex, [1] JLWSComplex, [1] jWSData JLWSExpression, [1], [2], [3], [4], [5], [6] jWSEqual JLWSExpression jWSExpr JLWSExpression, [1], [2], [3], [4], [5], [6], [7] jWSGI JLWSGaussianInteger jWSGreater JLWSExpression jWSGreaterEqual JLWSExpression jWSInt JLWSInteger jWSInterpret JLWSObject jWSLess JLWSExpression jWSLessEqual JLWSExpression jWSList JLWSList, [1] jWSMatrix JLWSMatrix jWSNotEqual JLWSExpression jWSQuantity JLWSExpression, [1] jWSRat JLWSRational jWSReal JLWSAPReal, [1], [2], [3], [4], [5] JLWSReal, [1], [2], [3], [4] jWSRule JLWSExpression jWSString JLWSExpression jWSSym JLWSSymbol, [1] jWSTable JLWSExpression, [1] jWSVector JLWSVector, [1]

K

K SKICombinators Kappa MathematicalSymbols kappa MathematicalSymbols karatsuba UnivariatePolynomialMultiplicationPackage karatsubaDivide UnivariatePolynomialCategory karatsubaOnce UnivariatePolynomialMultiplicationPackage kelvinBei FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory kelvinBer FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory kelvinKei FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory kelvinKer FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory Kernel kernel ExpressionSpace2, [1] KernelCategory, [1] KernelCategory argument height is?, [1] kernel, [1] name operator symbolIfCan KernelFunctions2 constantIfCan constantKernel kernels ExpressionSpace2, [1] key GraphImage ThreeDimensionalViewport TwoDimensionalViewport key? JLWSExpression KeyedDictionary KeyedAccessFile pack!

KeyedDictionary key? keys remove! search keys BasicKeyedAccessFile JLWSExpression KeyedDictionary kgraph FiniteGraph kleinBottle CubicalComplexFactory DeltaComplexFactory SimplicialComplexFactory kleinInvariantJ JLWSExpression JLWSNumericalSpecialFunctions kmax IntegrationTools knownHandler? OperatorHandlers knownInfBasis AlgebraicFunctionField Kovacic kovacic, [1] kovacic Kovacic, [1] kprod FloatEllipticFunctions, [1] krawtchoukK FunctionalSpecialFunction SpecialFunctionCategory kronecker_prod1 MatrixCategory kroneckerDelta CartesianTensor kroneckerProduct JLVector MatrixCategory, [1] kroneckerSum MatrixCategory, [1] KrullNumber RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage ksec IntegrationTools kummerM FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory kummerU FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory

L

label OutputForm lagrange StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries LagrangeInterpolation PolynomialInterpolationAlgorithms laguerre PolynomialNumberTheoryFunctions laguerreL FunctionalSpecialFunction JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] OrthogonalPolynomialFunctions, [1] SpecialFunctionCategory Lambda = atom? bind free? getBoundValue getChildren getVariable isBoundNode? isCompound? isFreeNode? isLambda? lambda, [1], [2], [3] MathematicalSymbols parseLambda parseTerm redux subst toString toStringConven unbind lambda InputForm Lambda, [1], [2], [3] MathematicalSymbols lambert StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries lambert_inverse_series FloatSpecialFunctions, [1], [2], [3] lambert_via_newton1 FloatSpecialFunctions, [1], [2], [3] lambert_via_newton2 FloatSpecialFunctions, [1], [2], [3] lambertW FloatSpecialFunctions, [1], [2], [3] FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory lambertW0 SpecialFunctionUnivariateTaylorSeries lambintegrate TranscendentalIntegration landen FloatEllipticFunctions, [1] landen1 FloatEllipticFunctions, [1] landen2 FloatEllipticFunctions, [1] laplace LaplaceTransform LaplaceTransform laplace laplacian MultiVariableCalculusFunctions laplacianMatrix FiniteGraph largest UserDefinedPartialOrdering, [1] last DoublyLinkedAggregate JLObjPair JLWSAggregate TriangularSetCategory UnaryRecursiveAggregate, [1] lastSubResultant NewSparseUnivariatePolynomial PseudoRemainderSequence RecursivePolynomialCategory RegularTriangularSetCategory lastSubResultantElseSplit RegularTriangularSetCategory lastSubResultantEuclidean PseudoRemainderSequence latex SetCategory Lattice LatticeJoinOfMeets = atom? coerce, [1] deductions empty? emptyLattice factor getChildren join latticeJoinOfMeets logicF logicT meet opType redux toString toStringUnwrapped value variable latticeJoinOfMeets LatticeJoinOfMeets LatticeMeetOfJoins = atom? deductions empty? emptyLattice factor getChildren join latticeMeetOfJoins logicF logicT meet opType redux toString toStringUnwrapped value variable latticeMeetOfJoins LatticeMeetOfJoins laurent ExpressionToUnivariatePowerSeries, [1], [2], [3], [4] GenerateUnivariatePowerSeries, [1] GenerateUnivariatePowerSeries1 GenerateUnivariatePowerSeries2, [1] UnivariateLaurentSeriesCategory UnivariateLaurentSeriesConstructorCategory UnivariatePuiseuxSeriesConstructorCategory laurentIfCan UnivariatePuiseuxSeriesConstructorCategory LaurentPolynomial coefficient degree leadingCoefficient monomial monomial? order reductum separate trailingCoefficient laurentRep UnivariatePuiseuxSeriesConstructorCategory LazardQuotient PseudoRemainderSequence RecursivePolynomialCategory LazardQuotient2 PseudoRemainderSequence RecursivePolynomialCategory LazardSetSolvingPackage normalizeIfCan zeroSetSplit lazy? LazyStreamAggregate lazyEvaluate LazyStreamAggregate lazyGintegrate StreamTaylorSeriesOperations lazyIntegrate StreamExponentialSeriesOperations StreamTaylorSeriesOperations lazyIrreducibleFactors PolynomialSetUtilitiesPackage lazyPquo RecursivePolynomialCategory, [1] lazyPrem RecursivePolynomialCategory, [1] lazyPremWithDefault RecursivePolynomialCategory, [1] lazyPseudoDivide NewSparseUnivariatePolynomial RecursivePolynomialCategory, [1] lazyPseudoQuotient NewSparseUnivariatePolynomial lazyPseudoRemainder NewSparseUnivariatePolynomial lazyRepresentation lazyResidueClass NewSparseUnivariatePolynomial RecursivePolynomialCategory LazyStreamAggregate complete explicitEntries? explicitlyEmpty? extend frst lazy? lazyEvaluate numberOfComputedEntries remove rst select lazyVariations RealPolynomialUtilitiesPackage lc CliffordAlgebra lcm GcdDomain, [1] U32VectorPolynomialOperations lcmCoef LeftOreRing lcx0 PrimGCD lcz PrimGCD ldegree ModularEvaluationCategory ldexp JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField ldivide XPolynomialFactor LE Switch le Preorder leader DifferentialPolynomialCategory leading_exponent_vector NMMultivariateLaurentPolynomial leading_monomial NMMultivariateLaurentPolynomial leading_term NMMultivariateLaurentPolynomial leadingBasisTerm AntiSymm DeRhamComplex LeadingCoefDetermination distFact polCase leadingCoefficient AntiSymm DeRhamComplex GeneralModulePolynomial IndexedProductCategory LaurentPolynomial PowerSeriesCategory RecursivePolynomialCategory SolvableSkewPolynomialCategory leadingCoefficientRicDE PrimitiveRatRicDE leadingDer JetBundleFunctionCategory leadingExponent GeneralModulePolynomial leadingIdeal PolynomialIdeal leadingIndex GeneralModulePolynomial leadingMonomial GeneralModulePolynomial IndexedProductCategory PowerSeriesCategory SolvableSkewPolynomialCategory leadingSupport IndexedProductCategory leadingTerm IndexedProductCategory leaf? RecursiveAggregate SubSpace leastAffineMultiple FiniteFieldPolynomialPackage leastMonomial RecursivePolynomialCategory leastPower IntegralBasisTools leaves RecursiveAggregate left BinaryRecursiveAggregate FreeMagma LyndonWord OutputForm, [1] RightOpenIntervalRootCharacterization left_ext_GCD XPolynomialFactor LeftAlgebra coerce leftAlternative? FiniteRankNonAssociativeAlgebra leftCharacteristicPolynomial FiniteRankNonAssociativeAlgebra leftDiscriminant FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra leftDivide UnivariateSkewPolynomialCategory UnivariateSkewPolynomialCategoryOps leftExactQuotient UnivariateSkewPolynomialCategory leftExtendedGcd UnivariateSkewPolynomialCategory leftFactor FreeDivisionAlgebra leftFactorIfCan UnivariatePolynomialDecompositionPackage leftFamily FreeDivisionAlgebra leftGcd UnivariateSkewPolynomialCategory leftIdentity LinearMultivariateMatrixPencil leftLcm UnivariateSkewPolynomialCategory leftMinimalPolynomial FiniteRankNonAssociativeAlgebra leftMinimization FreeDivisionAlgebra LeftModule * leftMult ListMonoidOps leftNorm FiniteRankNonAssociativeAlgebra leftOne Equation LeftOreRing lcmCoef leftPower Magma MagmaWithUnit leftQuotient UnivariateSkewPolynomialCategory leftRank AlgebraPackage leftRankPolynomial FramedNonAssociativeAlgebra GenericNonAssociativeAlgebra leftRecip FiniteRankNonAssociativeAlgebra MagmaWithUnit leftRegularRepresentation FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra leftRemainder UnivariateSkewPolynomialCategory leftScalarTimes! StorageEfficientMatrixOperations leftTrace FiniteRankNonAssociativeAlgebra leftTraceMatrix FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra leftTrim LinearAggregate StringAggregate leftUnit FiniteRankNonAssociativeAlgebra leftUnits FiniteRankNonAssociativeAlgebra GenericNonAssociativeAlgebra leftZero Equation legendre IntegerNumberTheoryFunctions PolynomialNumberTheoryFunctions legendreP FunctionalSpecialFunction JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] OrthogonalPolynomialFunctions SpecialFunctionCategory legendreQ FunctionalSpecialFunction JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory length FreeMagma FreeMonoid GaloisGroupFactorizationUtilities IntegerNumberSystem JLWSAggregate JLWSExpression LyndonWord NMMultivariateLaurentPolynomial NMMultivariatePolynomial NMUnivariatePolynomial PoincareBirkhoffWittLyndonBasis VectorCategory lepol GroebnerInternalPackage lerchPhi FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory less? Aggregate UserDefinedPartialOrdering, [1] level JLWSExpression, [1] SubSpace leviCivitaSymbol CartesianTensor lex TableauxBumpers lexGroebner PolyGroebner lexico FreeMagma FreeMonoid LyndonWord lexSmaller? FiniteFieldPolynomialPackage lexTriangular LexTriangularPackage LexTriangularPackage fglmIfCan groebner lexTriangular squareFreeLexTriangular zeroDimensional? zeroSetSplit, [1] lfextendedint ElementaryIntegration lfintegrate ElementaryIntegration lfunc HallBasis lhs Equation RewriteRule SuchThat li DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] LiouvillianFunction LiouvillianFunctionCategory li2 FloatSpecialFunctions li_int DenominatorIntegration Library close! elt library pack! setelt! library Library lie JetDifferential JetVectorField lieAdmissible? FiniteRankNonAssociativeAlgebra LieAlgebra / construct lieAlgebra? FiniteRankNonAssociativeAlgebra LieExponentials coerce, [1] exp identification listOfTerms log LyndonBasis LyndonCoordinates mirror varList LiePoly FreeLieAlgebra LiePolyIfCan LiePolynomial XPBWPolynomial LiePolynomial construct, [1], [2] LiePolyIfCan LieSquareMatrix convert lift GenusZeroIntegration ModMonic MonogenicAlgebra MultivariateSquareFree ResidueRing lifting MultivariateLifting, [1] LiftLinearDependence csolve_pol csolve_rf csolve_rmat liftQ ExtendedNMPadicInteger NMPadicInteger liftZ ExtendedNMPadicInteger NMPadicInteger light Palette lighting ThreeDimensionalViewport limit FunctionGraph JLWSExpression MultifunctionGraph PowerSeriesLimitPackage, [1] RationalFunctionLimitPackage, [1], [2] limitPart SmallOrdinal limitPlus ExponentialExpansion UnivariatePuiseuxSeriesWithExponentialSingularity lin_comb LinearCombinationUtilities, [1], [2], [3], [4], [5], [6] lin_comb! LinearCombinationUtilities lin_sol ExpressionLinearSolve line SimplicialComplexFactory linear PolynomialSolveByFormulas, [1] linear? PolynomialSetUtilitiesPackage LinearAggregate concat, [1], [2], [3] copyInto! delete, [1] first insert, [1] leftTrim map merge, [1] new position, [1], [2] reverse reverse! rightTrim setelt! sort, [1] sort!, [1] sorted?, [1] trim

linearAssociatedExp FiniteAlgebraicExtensionField linearAssociatedLog FiniteAlgebraicExtensionField, [1] linearAssociatedOrder FiniteAlgebraicExtensionField LinearCombinationUtilities dehomogenize lin_comb, [1], [2], [3], [4], [5], [6] lin_comb! LinearDependence linearDependence linearlyDependent? particularSolution, [1], [2], [3] solveLinear, [1], [2], [3] linearDependence LinearDependence linearDependenceOverConstants ConstantLinearDependence linearDependenceOverZ IntegerLinearDependence linearExtend FreeModuleCategory FreeModuleFunctions2 TensorPowerFunctions2 linearization FreeDivisionAlgebra, [1] linearize SymmetryAnalysis linearlyDependent? LinearDependence linearlyDependentOverConstants? ConstantLinearDependence linearlyDependentOverZ? IntegerLinearDependence LinearlyExplicitOver reducedSystem, [1] LinearMultivariateMatrixPencil *, [1] = addColumns! addRows! append append! blockElimination coerce copy diagonal diagonal? eliminationEquations, [1], [2] eliminationGroebner eliminationSolve, [1], [2], [3], [4] eliminationTransformations, [1], [2] elt, [1] equal? insertRowsColumns leftIdentity matrix multiplyColumn! multiplyRow! ncols nelem nrows qaddColumns! qaddRows! qcolumnIndices, [1], [2] qdiagonal qdiagonal? qelt, [1] qequal? qmultiplyColumn! qmultiplyRow! qnew qnilpotent? qrowIndices, [1], [2] qscaleBlock! qsemizero? qsetelt!, [1] qswapColumns! qswapRows! quppertriangular? qzero?, [1], [2] removeRowsColumns rightIdentity setelt!, [1] setsubMatrix! setsubPencil! subMatrix subPencil, [1] swapColumns! swapRows! transformColumns! transformRows! uppertriangular? zero? LinearOrdinaryDifferentialOperator LinearOrdinaryDifferentialOperator1 LinearOrdinaryDifferentialOperator2 LinearOrdinaryDifferentialOperator3 LinearOrdinaryDifferentialOperator3Aux delta_deriv LinearOrdinaryDifferentialOperatorCategory adjoint D directSum symmetricPower symmetricProduct symmetricSquare LinearOrdinaryDifferentialOperatorFactorizer factor, [1] factor1 LinearOrdinaryDifferentialOperatorFactorizer2 factor ge_minimal gen_exp testco testcp testcx testf2 testfg testfn testfo testfr testgt testis testlc testll testln testlp testlw testnp testpd testro testsb testsc LinearOrdinaryDifferentialOperatorsOps directSum symmetricPower symmetricProduct LinearPolynomialEquationByFractions solveLinearPolynomialEquationByFractions linearPolynomials PolynomialSetUtilitiesPackage linearSearch SortedCache linearSolve JLWSMatrix LinearSystemMatrixPackage hasSolution? particularSolution rank solve, [1] LinearSystemMatrixPackage1 hasSolution? particularSolution rank solve, [1], [2], [3] LinearSystemMatrixPackage2 solveUniquely LinearSystemPolynomialPackage intoMatrix linSolve lineColorDefault ViewDefaultsPackage, [1] lineIntersect SBoundary lines OutputBox linGenPos LinGroebnerPackage LinGroebnerPackage anticoord choosemon computeBasis coord groebgen intcompBasis linGenPos minPol, [1] totolex transform link DeltaComplex FiniteSimplicialComplex SBoundary linSolve LinearSystemPolynomialPackage lintgcd HeuGcd LiouvillianFunction belong? Chi Ci dilog Ei erf erfi fresnelC fresnelS integral, [1] li operator Shi Si LiouvillianFunctionCategory Chi Ci dilog Ei erf erfi fresnelC fresnelS li Shi Si List append cons setDifference setIntersection setUnion tails list ListAggregate list? SExpressionCategory ListAggregate list listBranches PlottablePlaneCurveCategory PlottableSpaceCurveCategory listConjugateBases ChineseRemainderToolsForIntegralBases ListFunctions2 map reduce scan ListFunctions3 map listLoops TubePlot ListMonoidOps leftMult listOfMonoms makeMulti makeTerm makeUnit mapExpon mapGen nthExpon nthFactor outputForm reverse reverse! rightMult size ListMultiDictionary duplicates? substitute listOfLists RectangularMatrixCategory Tableau TwoDimensionalArrayCategory listOfMonoms ListMonoidOps listOfTerms IndexedDirectProductCategory LieExponentials PoincareBirkhoffWittLyndonBasis ListPackage cartesian cartesianPower minShift shiftLeft splitList topologicalSort, [1] topologicalSort! listRepresentation Permutation lists PatternMatchListResult ListToMap match, [1], [2], [3], [4], [5] listYoungTableaus SymmetricGroupCombinatoricFunctions LLF_to_LPA ModularHermitePadeSolver LLFI_to_LPA ModularHermitePade LLFPI_to_LPA ModularHermitePade LLL LLLReduction lllip ThreeSpaceCategory lllp ThreeSpaceCategory LLLReduction extendedLLL extendedLLL! find_relation LLL llprop ThreeSpaceCategory localAbs FunctionSpaceToExponentialExpansion FunctionSpaceToUnivariatePowerSeries2 LocalAlgebra /, [1] denom numer localIntegralBasis FunctionFieldIntegralBasis NumberFieldIntegralBasis PAdicWildFunctionFieldIntegralBasis WildFunctionFieldIntegralBasis Localize /, [1] denom numer localReal? ElementaryFunction LODO2FUN UTSodetools LODOConvertions convert, [1] log ElementaryFunction ElementaryFunctionCategory ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries ExtendedNMPadicInteger FactoredFunctions FloatElementaryFunctions FortranExpression JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra LieExponentials NMPadicInteger StreamExponentialSeriesTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative XExponentialPackage XPBWPolynomial log1 StreamExponentialSeriesOperations log10 DoubleFloat Float, [1] FloatElementaryFunctions FortranExpression JLComplexFloat JLFloat JLMachineFloat JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal log1p JLComplexFloat JLFloat JLFloat32SpecialFunctions JLFloat64SpecialFunctions NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField log2 DoubleFloat Float, [1] FloatElementaryFunctions JLComplexFloat JLFloat JLMachineFloat JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal log_plus_1 DoubleFloatElementaryFunctions log_series FloatElementaryFunctions logabsbeta JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 logabsgamma JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 logBarnesG JLWSExpression JLWSNumericalSpecialFunctions logBeta JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 logDependenceQ MultiplicativeDependence logDeterminant JLF32LinearAlgebra JLF64LinearAlgebra logerfc JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 logerfcx JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 logextint ParametricIntegration ParametricTranscendentalIntegration logGamma DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] JLFloat32SpecialFunctions2, [1] JLFloat64SpecialFunctions2, [1] JLFloatSpecialFunctions2, [1] JLWSExpression JLWSNumericalSpecialFunctions Logic ~ false true logical? FortranScalarType logicF ILogic LatticeJoinOfMeets LatticeMeetOfJoins logicT ILogic LatticeJoinOfMeets LatticeMeetOfJoins logIfCan PartialTranscendentalFunctions logpart IntegrationResult logPiI NMAlgebraicNumber lommelS1 FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory lommelS2 FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory lookup Finite InnerNormalBasisFieldFunctions JLWSExpression, [1] Loop entries loop loop Loop loopPoints TubePlotTools loopsArrows FiniteGraph loopsAtNode FiniteGraph loopsNodes FiniteGraph looseEquals FiniteGraph low SegmentCategory lowerCase Character CharacterClass StringAggregate lowerCase! StringAggregate lowerCase? Character lowerPolynomial FactoringUtilities lowerSet Poset LowTriBddDenomInv TriangularMatrixOperations lp ThreeSpaceCategory lprop ThreeSpaceCategory lquo FreeLieAlgebra FreeMonoid, [1] XFreeAlgebra, [1], [2] lSpaceBasis FiniteDivisor LT Switch lu JLF32LinearAlgebra JLF64LinearAlgebra JLWSMatrix lu! JLF32LinearAlgebra JLF64LinearAlgebra lub Poset LUDecomp LUDecomposition LUDecomposition LUDecomp LUInverse LUSolve LUInverse LUDecomposition luReorder JLF32LinearAlgebra JLF64LinearAlgebra luReorder! JLF32LinearAlgebra JLF64LinearAlgebra LUSolve LUDecomposition lyndon LyndonWord lyndon? LyndonWord LyndonBasis LieExponentials LyndonCoordinates LieExponentials lyndonIfCan LyndonWord LyndonWord coerce, [1] factor left length lexico lyndon lyndon? lyndonIfCan LyndonWordsList LyndonWordsList1 retractable? right varList LyndonWordsList LyndonWord LyndonWordsList1 LyndonWord

M

m2r JetBundleCategory m_inverse ModularAlgebraicGcdTools3 MachineComplex coerce, [1], [2], [3], [4] MachineFloat base, [1] changeBase coerce, [1] exponent mantissa maximumExponent, [1] minimumExponent, [1] precision, [1] MachineInteger coerce maxint, [1] machineNumber? JLWSExpression Magma * ^ leftPower rightPower MagmaWithUnit 1 ^ leftPower leftRecip one? recip rightPower rightRecip sample mainCharacterization RealClosure mainCoefficients RecursivePolynomialCategory mainContent RecursivePolynomialCategory mainDefiningPolynomial RealClosedField mainForm RealClosedField mainKernel ExpressionSpace2 mainMonomial RecursivePolynomialCategory mainMonomials RecursivePolynomialCategory mainPrimitivePart RecursivePolynomialCategory mainSquareFreePart RecursivePolynomialCategory mainValue RealClosedField mainVariable MaybeSkewPolynomialCategory PolynomialCategoryQuotientFunctions RationalFunction mainVariable? PolynomialSetCategory mainVariableOf Cell mainVariables PolynomialSetCategory make_imaginary_part_function MakeFloatCompiledFunction make_real_part_function MakeFloatCompiledFunction MakeBinaryCompiledFunction binaryFunction compiledFunction MakeCachableSet coerce makeCell Cell, [1] makeCos FourierSeries makeCrit GroebnerInternalPackage makeDisjoint FiniteSimplicialComplex makeEq InnerNumericFloatSolvePackage makeFEq RecurrenceOperator MakeFloatCompiledFunction make_imaginary_part_function make_real_part_function makeFloatFunction, [1] makeFloatFunction MakeFloatCompiledFunction, [1] makeFR Factored GaloisGroupFactorizer MakeFunction function, [1], [2], [3] makeGraphImage GraphImage, [1], [2] makeMulti ListMonoidOps makeObject TopLevelDrawFunctions, [1], [2], [3], [4], [5], [6], [7], [8] TopLevelDrawFunctionsForAlgebraicCurves TopLevelDrawFunctionsForCompiledFunctions, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] makeop ModuleOperator Operator makeRec RecurrenceOperator MakeRecord makeRecord makeRecord MakeRecord makeResult PatternMatchListResult makeSeries InnerSparseUnivariatePowerSeries makeSin FourierSeries makeSketch PlaneAlgebraicCurvePlot makeSUP UnivariatePolynomialCategory makeSystem JetDifferentialEquation makeTerm ListMonoidOps MakeUnaryCompiledFunction compiledFunction unaryFunction makeUnit ListMonoidOps makeVariable DifferentialPolynomialCategory, [1] DifferentialVariableCategory makeViewport2D TwoDimensionalViewport, [1] makeViewport3D ThreeDimensionalViewport, [1], [2] makeYoungTableau SymmetricGroupCombinatoricFunctions makingStats? TabulatedComputationPackage mantissa FloatingPointSystem MachineFloat map AntiSymm CartesianTensorFunctions2 ComplexFunctions2 DeRhamComplex DirectProductFunctions2 Equation EquationFunctions2 ExpressionFunctions2 ExpressionSpace2 ExpressionSpaceFunctions1 ExpressionSpaceFunctions2 Factored FactoredFunctions2 FakePolynomial, [1], [2] FiniteAbelianMonoidRingFunctions2 FiniteDivisorFunctions2 FiniteGraph FiniteLinearAggregateFunctions2 FiniteSetAggregateFunctions2 FractionalIdealFunctions2 FractionFunctions2 FramedNonAssociativeAlgebraFunctions2 FreeModuleCoefficientFunctions2 FullyEvalableOver FunctionFieldCategoryFunctions2 FunctionSpaceFunctions2 HomogeneousAggregate IndexedProductCategory InfiniteTuple InfiniteTupleFunctions2 InfiniteTupleFunctions3, [1], [2] IntegrationResultFunctions2, [1], [2], [3] JLFloat32VectorFunctions2, [1] JLFloat64VectorFunctions2, [1] JLVectorFunctions2, [1] LinearAggregate ListFunctions2 ListFunctions3 MatrixCategoryFunctions2, [1] MonoidRingFunctions2 MPolyCatFunctions2 MPolyCatFunctions3 MultipleMap NewSparseUnivariatePolynomialFunctions2 OctonionCategoryFunctions2 OneDimensionalArrayFunctions2 OnePointCompletionFunctions2, [1] OrderedCompletionFunctions2, [1] ParametricPlaneCurveFunctions2 ParametricSpaceCurveFunctions2 ParametricSurfaceFunctions2 PatternFunctions2 PatternMatchResultFunctions2 PointFunctions2 PolynomialCategoryLifting PolynomialFunctions2 PrimitiveArrayFunctions2 PushVariables QuaternionCategoryFunctions2 QuotientFieldCategoryFunctions2 RectangularMatrixCategory, [1] RectangularMatrixCategoryFunctions2 SegmentBindingFunctions2 SegmentExpansionCategory SegmentFunctions2, [1] SequenceFunctions2 SparseUnivariatePolynomialFunctions2 StreamFunctions2 StreamFunctions3 TableAggregate TwoDimensionalArrayCategory, [1], [2] TwoDimensionalArrayFunctions UnivariateLaurentSeriesFunctions2 UnivariatePolynomialCategoryFunctions2 UnivariatePolynomialFunctions2 UnivariatePuiseuxSeriesFunctions2 UnivariateTaylorSeriesFunctions2 UniversalSegmentFunctions2, [1] VectorFunctions2, [1] XFreeAlgebra XPolynomialRing map! HomogeneousAggregate TwoDimensionalArrayCategory map_preserving FactoredFunctions2 mapall DistributionFunctions2 mapBivariate IntegralBasisPolynomialTools mapCoefficients NMMultivariateLaurentPolynomial mapContra FiniteGraph mapdiv StreamTaylorSeriesOperations mapDown! BalancedBinaryTree, [1] mapExpon FreeGroup FreeMonoid ListMonoidOps mapExponents FiniteAbelianMonoidRing mapGen FreeGroup FreeMonoid ListMonoidOps mapMatrixIfCan IntegralBasisPolynomialTools mapmult StreamTaylorSeriesOperations MappingPackage1 ^ coerce id nullary recur MappingPackage2 const constant curry diag MappingPackage3 * constantLeft constantRight curryLeft curryRight twist MappingPackageInternalHacks1 iter recur MappingPackageInternalHacks2 arg1 arg2 MappingPackageInternalHacks3 comp mapUnivariate IntegralBasisPolynomialTools, [1] mapUnivariateIfCan IntegralBasisPolynomialTools mapUp! BalancedBinaryTree, [1] mask IntegerNumberSystem match ListToMap, [1], [2], [3], [4], [5] match? StringAggregate MathematicalSymbols alpha Alpha beta Beta Chi chi Delta delta epsilon Epsilon eta Eta Gamma gamma Iota iota Kappa kappa lambda Lambda mu Mu newGreek nu Nu omega Omega Omicron omicron partial phi Phi pi Pi Psi psi resetNewGreek Rho rho Sigma sigma Tau tau Theta theta upsilon Upsilon xi Xi zeta Zeta mathieu11 PermutationGroupExamples, [1] mathieu12 PermutationGroupExamples, [1] mathieu22 PermutationGroupExamples, [1] mathieu23 PermutationGroupExamples, [1] mathieu24 PermutationGroupExamples, [1] mathieuC JLWSExpression JLWSNumericalSpecialFunctions mathieuCharacteristicA JLWSExpression JLWSNumericalSpecialFunctions mathieuCharacteristicB JLWSExpression JLWSNumericalSpecialFunctions mathieuCharacteristicExponent JLWSExpression JLWSNumericalSpecialFunctions mathieuCPrime JLWSExpression JLWSNumericalSpecialFunctions mathieuS JLWSExpression JLWSNumericalSpecialFunctions mathieuSPrime JLWSExpression JLWSNumericalSpecialFunctions MathMLFormat coerce coerceL coerceS display Matrix diagonalMatrix invertIfCan matrix FormatterCategory FreeDivisionAlgebra, [1] IncidenceAlgebra JLDataFrame JLMatrix JLWSMatrix LinearMultivariateMatrixPencil MatrixCategory, [1] OutputForm QuadraticForm RectangularMatrixCategory MatrixCategory *, [1], [2], [3], [4], [5] + -, [1] / ^, [1] antisymmetric? coerce columnSpace determinant diagonal? diagonalMatrix, [1] exquo inverse kronecker_prod1 kroneckerProduct, [1] kroneckerSum, [1] matrix, [1] minordet nullity nullSpace Pfaffian positivePower rank rowEchelon scalarMatrix square? symmetric? transpose zero zero? MatrixCategoryFunctions2 map, [1] reduce MatrixCommonDenominator clearDenominator commonDenominator splitDenominator matrixConcat3D ThreeDimensionalMatrix matrixDimensions ThreeDimensionalMatrix matrixForm JLWSExpression matrixFunction JLWSMatrix matrixGcd IntegralBasisTools MatrixLinearAlgebraFunctions adjoint determinant elColumn2! elRow1! elRow2! fractionFreeGauss! inverse invertIfCan minordet normalizedDivide nullity nullSpace rank rowEchelon MatrixManipulation bandMatrix, [1] blockSplit, [1] columnMatrix columns, [1] diagonalMatrix, [1] element rowMatrix rows, [1] subMatrix, [1] max FiniteGraph, [1] FloatingPointSystem HomogeneousAggregate, [1] JLInt64 OrderedSet PriorityQueueAggregate SingleInteger SPointCategory maxColIndex RectangularMatrixCategory TwoDimensionalArrayCategory maxdeg XPolynomialRing XPolynomialsCat maxDegree GuessOption GuessOptionFunctions0 maxDerivative GuessOption GuessOptionFunctions0 maximize JLWSExpression, [1], [2] maximumExponent MachineFloat, [1] maxIndex FiniteCubicalComplex FiniteSimplicialComplex IndexedAggregate OrientedFacet maxint MachineInteger, [1] maxLevel GuessOption GuessOptionFunctions0 maxLimit JLWSExpression maxMixedDegree GuessOption GuessOptionFunctions0 maxPoints GraphicsDefaults, [1] Plot maxPoints3D Plot3D maxPower GuessOption GuessOptionFunctions0 maxPrecedence FormatterCategory maxrank ParametricLinearEquations maxrow TableauxBumpers maxRowIndex RectangularMatrixCategory TwoDimensionalArrayCategory maxShift GuessOption GuessOptionFunctions0 maxSubst GuessOption GuessOptionFunctions0 MaybeSkewPolynomialCategory coefficient, [1] degree, [1] mainVariable monomial, [1] monomials primitiveMonomials totalDegree, [1] totalDegreeSorted variables mdeg RecursivePolynomialCategory meatAxe RepresentationPackage2, [1], [2], [3] medialSet WuWenTsunTriangularSet, [1] meet CoDcpo LatticeJoinOfMeets LatticeMeetOfJoins meetIfCan Poset, [1] MeetSemilattice /\ meijerG FunctionalSpecialFunction SpecialFunctionCategory meixnerM FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory meixnerP FunctionalSpecialFunction SpecialFunctionCategory member? HomogeneousAggregate JLWSExpression PermutationGroup SetOfMIntegersInOneToN VectorSpaceBasis members FiniteMoebiusFunction GeneralizedFiniteMoebiusFunction HomogeneousAggregate merge FiniteGraph FiniteSimplicialComplex LinearAggregate, [1] PriorityQueueAggregate SubSpace, [1] ThreeSpaceCategory, [1] merge! ExtensibleLinearAggregate, [1] PriorityQueueAggregate merge2 InnerModularHermitePade merge_exponents InnerModularHermitePade mergeDifference MergeThing mergeFactors Factored MergeThing mergeDifference mesh ThreeSpaceCategory, [1], [2], [3], [4], [5], [6] mesh? ThreeSpaceCategory MeshCreationRoutinesForThreeDimensions meshFun2Var meshPar1Var meshPar2Var, [1], [2] ptFunc meshFun2Var MeshCreationRoutinesForThreeDimensions meshPar1Var MeshCreationRoutinesForThreeDimensions meshPar2Var MeshCreationRoutinesForThreeDimensions, [1], [2] message OutputForm messagePrint OutputForm mfactor ModularFactorization ModularFactorizationGeneral ModularFactorizationK middle RightOpenIntervalRootCharacterization midpoint NMArbField NMRealBall NMRealField RealZeroPackage midpoints RealZeroPackage

mightHaveRoots RightOpenIntervalRootCharacterization min FiniteGraph, [1] FloatingPointSystem HomogeneousAggregate JLInt64 OrderedMultisetAggregate OrderedSet SingleInteger SPointCategory minColIndex RectangularMatrixCategory TwoDimensionalArrayCategory mindeg XFreeAlgebra XPolynomialRing mindegTerm XFreeAlgebra minGbasis GroebnerInternalPackage minimal? FreeDivisionAlgebra minimalMatrix XDistributedPolynomialFunctions minimalPolynomial FiniteAlgebraicExtensionField FiniteRankAlgebra InnerNormalBasisFieldFunctions JLWSExpression, [1] NMAlgebraicNumber, [1] NMUnivariatePolynomial minimalRepresentation XDistributedPolynomialFunctions minimize FractionalIdeal FreeDivisionAlgebra JLWSExpression, [1], [2] minimumDegree FiniteAbelianMonoidRing NMUnivariateLaurentPolynomial PolynomialCategory, [1] minimumExponent MachineFloat, [1] minIndex FiniteSimplicialComplex IndexedAggregate OrientedFacet minLimit JLWSExpression minordet MatrixCategory MatrixLinearAlgebraFunctions SquareMatrixCategory minors JLWSMatrix, [1] minPoints GraphicsDefaults, [1] Plot minPoints3D Plot3D minPol LinGroebnerPackage, [1] minPoly AlgebraicFunction ExpressionSpace2 minPrecedence FormatterCategory minrank ParametricLinearEquations minRowIndex RectangularMatrixCategory TwoDimensionalArrayCategory minset ParametricLinearEquations minShift ListPackage minus FloatElementaryFunctions FloatingPointOperations minus! StorageEfficientMatrixOperations, [1] minusInfinity Infinity OrderedCompletion mirror FreeLieAlgebra FreeMagma FreeMonoid LieExponentials XFreeAlgebra missing? JLWSExpression mix PointsOfFiniteOrderTools mk_erf ElementaryRischDEX mkAnswer IntegrationResult mkcomm Commutator, [1] mkIntegral ChangeOfVariable mkPrim IntegrationTools mod_exp ModularFactorizationOperations modifyPoint SubSpace, [1], [2] modifyPointData ThreeDimensionalViewport ThreeSpaceCategory ModMonic frobenius lift modulus pow reduce setPoly UnVectorise Vectorise modpeval PolynomialEvaluationUtilities modpreduction ModularEvaluationCategory PolynomialEvaluationUtilities, [1] modTree CRApackage modular_compose ModularFactorizationOperations ModularAlgebraicGcd algebraicGcd ModularAlgebraicGcd2 algebraicGcd ModularAlgebraicGcdOperations canonicalIfCan degree MPtoMPT pack_exps pack_modulus pseudoRem repack1 zero? ModularAlgebraicGcdTools2 ModularAlgebraicGcdTools3 m_inverse pack_exps0 ModularAlgebraicGcdTools4 ModularEvaluation1 ModularEvaluation2 ModularEvaluationCategory degree eval1 ldegree modpreduction subst_vars trial_division modularFactor GaloisGroupFactorizer ModularFactorization ddfact irreducible? mfactor ModularFactorizationGeneral ddfact irreducible? mfactor ModularFactorizationK ddfact irreducible? mfactor ModularFactorizationOperations add_poly copy_mat_part copy_poly degree divide! empty_mat empty_mat? empty_poly gcd get_char get_extension_degree get_mod ini_rdata mod_exp modular_compose monomial1 power_matrix random_poly red_pol! shift_mat! split_mat! sub1! sub_poly trim_mat! ModularFactorizationTools1 ModularFactorizationTools3 mul_by_scalar ModularField coerce exQuo modulus reduce modularGcdPrimitive InnerModularGcd ModularHermitePade check_sol1a get_variables HP_solve_A HP_solve_I HP_solve_M HP_solve_P HP_solve_PA LLFI_to_LPA LLFPI_to_LPA unpack_poly VSUPI_to_VPA VSUPPI_to_VPA ModularHermitePadeSolver gen_Monte_Carlo_check HP_solve LLF_to_LPA VSUPS_to_VPA ModularHermitianRowReduction normalizedDivide rowEch rowEchelon rowEchelonLocal rowEchLocal modularInvariantJ FloatEllipticFunctions modularLambda JLWSExpression JLWSNumericalSpecialFunctions ModularRing coerce exQuo inv modulus recip reduce Module module FractionalIdealAsModule, [1] ModuleMonomial coerce, [1] construct exponent index ModuleOperator ^ adjoint, [1] conjug evaluate evaluateInverse makeop opeval moduleSum IntegralBasisTools moduloP NMPadicIntegerCategory PAdicIntegerCategory modulus EuclideanModularRing ModMonic ModularField ModularRing NMPadicIntegerCategory PAdicIntegerCategory moebius MoebiusTransform Poset moebiusBand CubicalComplexFactory SimplicialComplexFactory moebiusFunction FiniteMoebiusFunction moebiusMatrix FiniteMoebiusFunction GeneralizedFiniteMoebiusFunction moebiusMu FiniteMoebiusFunction IntegerNumberTheoryFunctions MoebiusTransform eval, [1] moebius recip, [1] scale, [1] shift, [1] moment DistributionCategory moment2booleanCumulant MomentPackage moment2cumulant MomentPackage moment2freeCumulant MomentPackage moment2jacobi MomentPackage moment2jacobi2 MomentPackage moment2monotoneCumulant MomentPackage moment2nthJacobi MomentPackage moment2Stransform MomentPackage MomentPackage booleanCumulant2moment cumulant2moment freeCumulant2moment hankelDeterminant jacobi2poly moment2booleanCumulant moment2cumulant moment2freeCumulant moment2jacobi moment2jacobi2 moment2monotoneCumulant moment2nthJacobi moment2Stransform monotoneCumulant2moment monotoneCumulant2momentPoly moments DistributionCategory monic? GaloisGroupPolynomialUtilities NMUnivariatePolynomial RecursivePolynomialCategory monicCompleteDecompose UnivariatePolynomialDecompositionPackage monicDecomposeIfCan UnivariatePolynomialDecompositionPackage monicDivide PolynomialCategory UnivariatePolynomialCategory monicLeftDivide UnivariateSkewPolynomialCategory UnivariateSkewPolynomialCategoryOps monicModulo NewSparseUnivariatePolynomial RecursivePolynomialCategory monicRightDivide UnivariateSkewPolynomialCategory UnivariateSkewPolynomialCategoryOps monicRightFactorIfCan UnivariatePolynomialDecompositionPackage MonogenicAlgebra convert definingPolynomial derivationCoordinates generator lift reduce, [1] Monoid MonoidRing MonoidRingCategory coerce terms MonoidRingFunctions2 map monologextint ParametricTranscendentalIntegration monom StreamTaylorSeriesOperations monomial CliffordAlgebra GeneralModulePolynomial IndexedProductCategory LaurentPolynomial MaybeSkewPolynomialCategory, [1] MultivariateTaylorSeriesCategory, [1] SolvableSkewPolynomialCategory XFreeAlgebra monomial1 ModularFactorizationOperations monomial? IndexedProductCategory InnerSparseUnivariatePowerSeries LaurentPolynomial NMMultivariatePolynomial NMUnivariateLaurentPolynomial NMUnivariatePolynomial XFreeAlgebra MonomialExtensionTools decompose normalDenom split splitSquarefree monomialIntegrate TranscendentalIntegration monomialIntPoly TranscendentalIntegration monomialList JLWSExpression monomialRecursive? NMMultivariateLaurentPolynomial NMMultivariatePolynomial NMUnivariateLaurentPolynomial NMUnivariatePolynomial monomials FreeModuleCategory MaybeSkewPolynomialCategory NMMultivariateLaurentPolynomial NMMultivariatePolynomial monotoneConvolution DistributionCategory monotoneCumulant2moment MomentPackage monotoneCumulant2momentPoly MomentPackage monotoneCumulants DistributionCategory more? Aggregate UserDefinedPartialOrdering moreAlgebraic? QuasiComponentPackage SquareFreeQuasiComponentPackage MoreSystemCommands systemCommand morphism Automorphism, [1], [2] motzkinPathArray PathArrayPackage move ThreeDimensionalViewport TwoDimensionalViewport movedPoints Permutation PermutationGroup mpInverse JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra MPolyCatFunctions2 map MPolyCatFunctions3 map MPolyCatPolyFactorizer factor MPolyCatRationalFunctionFactorizer factor pushdown pushdterm pushucoef pushuconst pushup totalfract mpsode UnivariateTaylorSeriesODESolver MPtoMPT ModularAlgebraicGcdOperations mr TableauxBumpers MRationalFactorize factor mrv_cmp MrvLimitPackage mrv_limit MrvLimitPackage, [1], [2], [3], [4] mrv_limit1 MrvLimitPackage mrv_normalize MrvLimitPackage mrv_rewrite MrvLimitPackage mrv_rewrite0 MrvLimitPackage mrv_set MrvLimitPackage mrv_sign MrvLimitPackage MrvLimitPackage expr_to_series mrv_cmp mrv_limit, [1], [2], [3], [4] mrv_limit1 mrv_normalize mrv_rewrite mrv_rewrite0 mrv_set mrv_sign Mu MathematicalSymbols mu MathematicalSymbols mul U32VectorPolynomialOperations mul_by_binomial U32VectorPolynomialOperations, [1] mul_by_scalar ModularFactorizationTools3 U32VectorPolynomialOperations mullow NMUnivariateLaurentPolynomial NMUnivariatePolynomial mulmod IntegerNumberSystem MultFiniteFactorize factor, [1] multi_SPDE RDEaux MultiDictionary duplicates insert! removeDuplicates! multiEuclidean EuclideanDomain multiEuclideanTree CRApackage MultifunctionGraph * ~ apply cartesian closedCartesian closedTensor coAdjoint coerce contraAdjoint limit multifunctionGraph, [1], [2], [3], [4] toCayleyGraph, [1] toPermutation multifunctionGraph MultifunctionGraph, [1], [2], [3], [4] multiIndex JetBundleCategory multinomial IntegerCombinatoricFunctions multiple FunctionSpaceAssertions PatternMatchAssertions multiple? Pattern MultipleMap map multiplicative? DirichletRing MultiplicativeDependence logDependenceQ multiplicativeValuation multiplyALS FreeDivisionAlgebra multiplyCoefficients InnerSparseUnivariatePowerSeries UnivariateLaurentSeriesCategory UnivariateTaylorSeriesCategory multiplyColumn! FreeDivisionAlgebra LinearMultivariateMatrixPencil multiplyExponents UnivariatePolynomialCategory UnivariatePowerSeriesCategory UnivariatePuiseuxSeriesCategory multiplyMIN FreeDivisionAlgebra multiplyRow! FreeDivisionAlgebra LinearMultivariateMatrixPencil multisect StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries Multiset multiset, [1], [2] remove, [1] remove!, [1] multiset Multiset, [1], [2] MultisetAggregate MultiVariableCalculusFunctions bandedHessian bandedJacobian divergence gradient hessian jacobian laplacian multivariate GenusZeroIntegration PolynomialCategory, [1] PolynomialCategoryQuotientFunctions RationalFunction MultivariateFactorize factor, [1] MultivariateLifting corrPoly lifting, [1] MultivariatePolynomial MultivariateSkewPolynomialCategory MultivariateSquareFree check coefChoose compdegd consnewpol intChoose lift myDegree normDeriv2 nsqfree squareFree, [1] univcase MultivariateTaylorSeriesCategory coefficient, [1] extend integrate monomial, [1] order, [1] polynomial, [1] multivector CliffordAlgebra multMonom GeneralModulePolynomial musserTrials GaloisGroupFactorizer, [1] mutable? FreeDivisionAlgebra JLObjectType mvar PolynomialSetCategory RecursivePolynomialCategory my_digamma FunctionSpaceToUnivariatePowerSeries2 my_root3 RootUtilities my_sqrt RootUtilities myDegree MultivariateSquareFree

N

naiveBeckermannLabahn NaiveBeckermannLabahnModular, [1] naiveBeckermannLabahn0 NaiveBeckermannLabahnModular naiveBeckermannLabahn1 NaiveBeckermannLabahnModular, [1] NaiveBeckermannLabahnModular naiveBeckermannLabahn, [1] naiveBeckermannLabahn0 naiveBeckermannLabahn1, [1] naiveBeckermannLabahnMultipoint, [1] reduceBasis reduceBasis0 naiveBeckermannLabahnMultipoint NaiveBeckermannLabahnModular, [1] name BasicOperator FileCategory FileNameCategory FunctionCalled JetBundleCategory KernelCategory RuleCalled Symbol namedBranch SceneNamedPoints namedPoints SceneNamedPoints, [1] nan JLMachineFloat nand BitAggregate Boolean nary FormatterCategory nary? BasicOperator naryPlus FormatterCategory ncDetSys SymmetryAnalysis, [1], [2] ncols LinearMultivariateMatrixPencil RectangularMatrixCategory SparseEchelonMatrix TwoDimensionalArrayCategory negative? IntervalCategory JLWSExpression OrderedRing RealRootCharacterizationCategory negativeInfinity InnerNMExactCalciumField JLMachineFloat NMExactCalciumField nelem LinearMultivariateMatrixPencil new FileNameCategory Formatter FreeDivisionAlgebra, [1], [2] HashState JLMatrix LinearAggregate OperatorHandlers PatternMatchListResult PatternMatchResult SparseEchelonMatrix SubSpace SubSpaceComponentProperty Symbol, [1] TexFormat TwoDimensionalArrayCategory newFortranTempVar FortranCodeTools newGreek MathematicalSymbols newLine DisplayPackage newline Character newReduc FunctionSpaceReduce NewSparseMultivariatePolynomial NewSparseUnivariatePolynomial extendedResultant extendedSubResultantGcd halfExtendedResultant1 halfExtendedResultant2 halfExtendedSubResultantGcd1 halfExtendedSubResultantGcd2 lastSubResultant lazyPseudoDivide lazyPseudoQuotient lazyPseudoRemainder lazyResidueClass monicModulo subResultantsChain NewSparseUnivariatePolynomialFunctions2 map newSubProgram TheSymbolTable newton NewtonInterpolation NewtonInterpolation newton newTypeLists SymbolTable next DoublyLinkedAggregate next_sousResultant2 PseudoRemainderSequence next_subResultant2 RecursivePolynomialCategory nextColeman SymmetricGroupCombinatoricFunctions nextIrreduciblePoly FiniteFieldPolynomialPackage nextItem StepThrough nextLatticePermutation SymmetricGroupCombinatoricFunctions nextNormalPoly FiniteFieldPolynomialPackage nextNormalPrimitivePoly FiniteFieldPolynomialPackage nextPartition SymmetricGroupCombinatoricFunctions, [1] nextPrime IntegerPrimesPackage nextPrimitiveNormalPoly FiniteFieldPolynomialPackage nextPrimitivePoly FiniteFieldPolynomialPackage nextSublist ParametricLinearEquations nextSubsetGray GrayCode NGroebnerPackage groebner hMonic redPol sPol virtualDegree nilFactor Factored nlde StreamTaylorSeriesOperations nlexSmaller? FiniteFieldPolynomialPackage NMAcbField * / accuracyBits bits coerce, [1] contains?, [1], [2] containsZero? exact? exp exp1 expm1 finite? guess hurwitzZeta hypergeometric1F1 hypergeometric1F1Regularized hypergeometricU integer? jncb, [1], [2], [3], [4], [5], [6], [7] ldexp log1p overlaps? pi precision rootOfUnity trim uniqueInteger NMAlgebraicallyClosedField NMAlgebraicallyClosedFunctionSpace NMAlgebraicNumber ^ abs abs2 acospi algebraicInteger? asinpi atanpi ceiling coerce conj conjugates cospi crandom csgn degree denominator expPiI floor imag imagSign integer? jnan, [1], [2], [3], [4] logPiI minimalPolynomial, [1] numerator random rational? real real? realSign rootOfUnity, [1] rootOfUnity? sign sinpi tanpi NMArbField * / accuracyBits addError! atan bits coerce, [1] contains?, [1], [2], [3] containsNegative? containsNonNegative? containsNonPositive? containsPositive? containsZero? convert, [1] exact? exp exp1 expm1 finite? guess hurwitzZeta integer? jnball jnrb, [1], [2], [3], [4], [5] ldexp log1p midpoint nonNegative? nonPositive? nonZero? overlaps? radius setUnion trim uniqueInteger urand01 NMCommutativeRing NMComplexBall * / accuracyBits bits coerce, [1] contains?, [1], [2] containsZero? exact? exp exp1 expm1 finite? guess hurwitzZeta hypergeometric1F1 hypergeometric1F1Regularized hypergeometricU integer? jncb, [1], [2], [3], [4], [5], [6], [7] ldexp log1p overlaps? pi precision rootOfUnity trim uniqueInteger NMComplexField * /, [1] accuracyBits coerce, [1], [2], [3], [4] contains?, [1], [2] containsZero? exact? exp exp1 expm1 finite? guess hurwitzZeta hypergeometric1F1 hypergeometric1F1Regularized hypergeometricU integer? jncf, [1], [2], [3], [4], [5] ldexp log1p overlaps? pi precision, [1] rootOfUnity, [1] trim uniqueInteger NMExactCalciumField * /, [1] acos algebraic? asin atan ceiling coerce, [1], [2], [3], [4] complexNormalForm conjugate cos csign erf erfc erfi eulerGamma exp exp1 floor Gamma imaginary? infinity, [1] infinity? integer? jlOptions jnecf, [1], [2], [3], [4] negativeInfinity number? pi positiveInfinity pow random, [1] rational? real? retract retractIfCan, [1], [2], [3] sign signedInfinity? sin tan undefined undefined? unknown unknown? unsignedInfinity? NMFactored factor, [1] factorSquareFree, [1] unit NMFiniteField *, [1] absolute? absoluteNorm absoluteTrace coerce, [1] generator? jnff, [1] norm order sqrt trace NMFraction *, [1] / differentiate factorFraction random, [1], [2] NMInteger * coerce, [1], [2], [3] jnint probablePrime? random NMIntegerMod *, [1] coerce, [1] jnzmod, [1] NMMultivariateLaurentPolynomial *, [1], [2], [3] +, [1] ^ coefficients coerce, [1], [2], [3] constantCoefficient degree derivative, [1] evaluate exactDivide exponent_vectors factor gen gen? gens jmp2nmlp leading_exponent_vector leading_monomial leading_term length mapCoefficients monomialRecursive? monomials numberOfVariables primitiveMonomials symbols termRecursive? terms unit? variableIndex NMMultivariatePolynomial *, [1], [2], [3] +, [1] coefficients constant? constantCoefficient degree exactDivide factor jmp2nmp length monomial? monomialRecursive? monomials primitiveMonomials square? term? termRecursive? trailingCoefficient unit? univariate? NMPadicInteger *, [1], [2], [3], [4], [5] +, [1], [2], [3], [4], [5] coerce, [1] exp jpadic, [1] liftQ liftZ log O, [1] precision prime sqrt teichmuller valuation NMPadicIntegerCategory approximate complete extend moduloP modulus order quotientByP sqrt NMPrimeField *, [1] coerce, [1] generator? jnpf, [1] order sqrt NMRealBall * / accuracyBits addError! atan bits coerce, [1] contains?, [1], [2], [3] containsNegative? containsNonNegative? containsNonPositive? containsPositive? containsZero? convert, [1] exact? exp exp1 expm1 finite? guess hurwitzZeta integer? jnball jnrb, [1], [2], [3], [4], [5] ldexp log1p midpoint nonNegative? nonPositive? nonZero? overlaps? radius setUnion trim uniqueInteger urand01

NMRealField * / accuracyBits addError! atan coerce, [1], [2] contains?, [1], [2], [3] containsNegative? containsNonNegative? containsNonPositive? containsPositive? containsZero? convert, [1] exact? exp exp1 expm1 finite? guess hurwitzZeta integer? jnball jnrf, [1], [2], [3] ldexp log1p midpoint nonNegative? nonPositive? nonZero? overlaps? radius retractIfCan setUnion trim uniqueInteger urand01 NMRing jlNMRing jlObject NMType NMUnivariateLaurentPolynomial *, [1], [2], [3] +, [1] ^ coefficients coerce constantCoefficient divide exactDivide factor jnulp minimumDegree monomial? monomialRecursive? mullow quo rem reverse, [1] termRecursive? trailingCoefficient truncate unit unit? univariate NMUnivariatePolynomial *, [1], [2], [3] +, [1] coerce constant? constantCoefficient cosMinimalPolynomial cyclotomicPolynomial divide etaQExp exactDivide factor jnup length minimalPolynomial monic? monomial? monomialRecursive? mullow pseudoDivide quo rem reverse, [1] roots square? swinnertonDyerPolynomial term? termRecursive? thetaQExp trailingCoefficient truncate unit? node BinaryTreeCategory node? 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NMArbField NMRealBall NMRealField nor BitAggregate Boolean norm AlgebraicNumber, [1], [2], [3] ComplexCategory ComplexRootFindingPackage FiniteAlgebraicExtensionField FiniteRankAlgebra FractionalIdeal FractionalIdealAsModule GaloisGroupFactorizationUtilities InnerNormalBasisFieldFunctions JLCF32LinearAlgebra, [1], [2], [3] JLCF64LinearAlgebra, [1], [2], [3] JLF32LinearAlgebra, [1], [2], [3] JLF64LinearAlgebra, [1], [2], [3] JLWSMatrix, [1] JLWSVector NMFiniteField NormInMonogenicAlgebra OctonionCategory QuaternionCategory RealNumberSystem normal JLWSExpression, [1] RandomFloatDistributions normal01 RandomFloatDistributions normal? FiniteAlgebraicExtensionField FiniteFieldPolynomialPackage InnerNormalBasisFieldFunctions normalALS FreeDivisionAlgebra normalDenom MonomialExtensionTools normalDeriv FactoringUtilities normalElement FiniteAlgebraicExtensionField InnerNormalBasisFieldFunctions normalForm GroebnerPackage PseudoLinearNormalForm normalise RadicalEigenPackage normalisePoint SConformal NormalizationPackage normalize normalizedAssociate normInvertible? outputArgs recip normalize ElementaryFunctionStructurePackage, [1], [2], [3] Float JLCF32LinearAlgebra, [1] JLCF64LinearAlgebra, [1] JLF32LinearAlgebra, [1] JLF64LinearAlgebra, [1] NormalizationPackage normalize! FreeDivisionAlgebra JLCF32LinearAlgebra, [1] JLCF64LinearAlgebra, [1] JLF32LinearAlgebra, [1] JLF64LinearAlgebra, [1] normalizeAtInfinity FunctionFieldCategory normalized? RecursivePolynomialCategory, [1] TriangularSetCategory, [1] normalizedAssociate NormalizationPackage normalizedDivide MatrixLinearAlgebraFunctions ModularHermitianRowReduction normalizeDIAG! FreeDivisionAlgebra NormalizedTriangularSetCategory normalizeIfCan LazardSetSolvingPackage normalizePLS! FreeDivisionAlgebra normalizeRHS! FreeDivisionAlgebra normDeriv2 MultivariateSquareFree normFactors NormRetractPackage NormInMonogenicAlgebra norm normInvertible? NormalizationPackage NormRetractPackage Frobenius normFactors retractIfCan NOT Switch, [1] Not IndexedBits SingleInteger not BitAggregate Boolean OutputForm SingleInteger notelem IntegrationResult nothing FormatterCategory nothing? JLObjectType noZeroDivisors NPCoef npcoef npcoef NPCoef nrand JLComplexF32Matrix JLComplexF32Vector JLComplexF64Matrix JLComplexF64Vector JLComplexFloat JLFloat JLFloat32Matrix JLFloat32Vector JLFloat64Matrix JLFloat64Vector JLMachineFloat JLMatrix, [1] JLVector, [1] nrows LinearMultivariateMatrixPencil RectangularMatrixCategory SparseEchelonMatrix TwoDimensionalArrayCategory nsqfree MultivariateSquareFree nthExpon FreeGroup FreeMonoid ListMonoidOps nthFactor FreeGroup FreeMonoid ListMonoidOps nthr PolynomialRoots nthRoot FactoredFunctions FormatterCategory RadicalCategory nthRootIfCan PartialTranscendentalFunctions Nu MathematicalSymbols nu MathematicalSymbols Nul ExtAlgBasis null? SExpressionCategory nullary MappingPackage1 nullary? BasicOperator nullBoundary SBoundary nullity InnerMatrixLinearAlgebraFunctions MatrixCategory MatrixLinearAlgebraFunctions RectangularMatrixCategory nullSpace InnerMatrixLinearAlgebraFunctions InnerMatrixQuotientFieldFunctions JLWSMatrix MatrixCategory MatrixLinearAlgebraFunctions RectangularMatrixCategory VectorSpaceBasis nullSpaceOverConstants ConstantLinearDependence number? Expression InnerNMExactCalciumField JLWSExpression NMExactCalciumField NumberFieldIntegralBasis discriminant integralBasis localIntegralBasis NumberFormats FormatArabic FormatRadix FormatRoman ScanArabic ScanFloatIgnoreSpaces ScanFloatIgnoreSpacesIfCan ScanRoman numberOfChildren SubSpace numberOfComponents FunctionFieldCategory ThreeSpaceCategory numberOfComposites ThreeSpaceCategory numberOfComputedEntries LazyStreamAggregate numberOfCycles Permutation numberOfDivisors IntegerNumberTheoryFunctions numberOfFactors Factored GaloisGroupFactorizer numberOfFractionalTerms PartialFraction numberOfHues Color numberOfImproperPartitions SymmetricGroupCombinatoricFunctions numberOfIrreduciblePoly FiniteFieldPolynomialPackage numberOfMonomials IndexedDirectProductCategory numberOfNormalPoly FiniteFieldPolynomialPackage numberOfPrimes FormatterCategory numberOfPrimitivePoly FiniteFieldPolynomialPackage numberOfVariables NMMultivariateLaurentPolynomial RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage NumberTheoreticPolynomialFunctions bernoulliB cyclotomic eulerE numDepVar JetBundleCategory JetBundleFunctionCategory numer AlgebraicNumber FractionalIdeal FunctionSpace2 LocalAlgebra Localize QuotientFieldCategory numerator FunctionSpace2 JetBundleFunctionCategory JLWSExpression NMAlgebraicNumber QuotientFieldCategory numerators ContinuedFraction numerDenom JLWSExpression Numeric complexNumeric, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15] complexNumericIfCan, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] numeric, [1], [2], [3], [4], [5], [6], [7] numericIfCan, [1], [2], [3], [4], [5] numeric Numeric, [1], [2], [3], [4], [5], [6], [7] NumericalOrdinaryDifferentialEquations rk4, [1] rk4a rk4f rk4qc, [1] NumericalQuadrature aromberg asimpson atrapezoidal romberg rombergo simpson simpsono trapezoidal trapezoidalo NumericComplexEigenPackage characteristicPolynomial, [1] complexEigenvalues complexEigenvectors NumericContinuedFraction continuedFraction numericDSolve JLWSExpression, [1], [2] numericDSolveValue JLWSExpression, [1], [2] numericIfCan Numeric, [1], [2], [3], [4], [5] numericIntegrate JLWSExpression, [1] numericMaximize JLWSExpression, [1], [2] numericMinimize JLWSExpression, [1], [2] numericProduct JLWSExpression, [1] NumericRealEigenPackage characteristicPolynomial, [1] realEigenvalues realEigenvectors numericSolve JLWSExpression, [1] numericSum JLWSExpression, [1] NumericTubePlot tube numerJP JetBundleExpression numFunEvals Plot numFunEvals3D Plot3D numIndVar JetBundleCategory JetBundleFunctionCategory

O

O ExtendedNMPadicInteger, [1] NMPadicInteger, [1] obj Any objectOf Any objects ThreeSpaceCategory objectToIndex Poset oblateSpheroidal CoordinateSystems octon Octonion OctonionCategory Octonion octon OctonionCategory abs conjugate imagE imagi imagI imagj imagJ imagk imagK inv norm octon rational rational? rationalIfCan real OctonionCategoryFunctions2 map odd? ExpressionSpace2 IntegerNumberSystem Permutation odd_partitions PartitionsAndPermutations, [1] oddInfiniteProduct InfiniteLambertProduct oddintegers StreamTaylorSeriesOperations oddlambert StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries ode UnivariateTaylorSeriesODESolver ode1 UnivariateTaylorSeriesODESolver ode2 UnivariateTaylorSeriesODESolver ODEIntegration diff expint int ODETools particularSolution variationOfParameters wronskianMatrix, [1] OMbindTCP OpenMathConnection OMclose OpenMathDevice OMcloseConn OpenMathConnection OMconnectTCP OpenMathConnection OMconnInDevice OpenMathConnection OMconnOutDevice OpenMathConnection Omega MathematicalSymbols omega MathematicalSymbols SmallOrdinal omegapower SmallOrdinal OMencodingBinary OpenMathEncoding OMencodingSGML OpenMathEncoding OMencodingUnknown OpenMathEncoding OMencodingXML OpenMathEncoding omError OpenMathError OMgetApp OpenMathDevice OMgetAtp OpenMathDevice OMgetAttr OpenMathDevice OMgetBind OpenMathDevice OMgetBVar OpenMathDevice OMgetEndApp OpenMathDevice OMgetEndAtp OpenMathDevice OMgetEndAttr OpenMathDevice OMgetEndBind OpenMathDevice OMgetEndBVar OpenMathDevice OMgetEndError OpenMathDevice OMgetEndObject OpenMathDevice OMgetError OpenMathDevice OMgetFloat OpenMathDevice OMgetInteger OpenMathDevice OMgetObject OpenMathDevice OMgetString OpenMathDevice OMgetSymbol OpenMathDevice OMgetType OpenMathDevice OMgetVariable OpenMathDevice Omicron MathematicalSymbols omicron MathematicalSymbols OMlistCDs OpenMathPackage OMlistSymbols OpenMathPackage OMmakeConn OpenMathConnection OMopenFile OpenMathDevice OMopenString OpenMathDevice OMParseError? OpenMathErrorKind OMputApp OpenMathDevice OMputAtp OpenMathDevice OMputAttr OpenMathDevice OMputBind OpenMathDevice OMputBVar OpenMathDevice OMputEndApp OpenMathDevice OMputEndAtp OpenMathDevice OMputEndAttr OpenMathDevice OMputEndBind OpenMathDevice OMputEndBVar OpenMathDevice OMputEndError OpenMathDevice OMputEndObject OpenMathDevice OMputError OpenMathDevice OMputFloat OpenMathDevice OMputInteger OpenMathDevice OMputObject OpenMathDevice OMputString OpenMathDevice OMputSymbol OpenMathDevice OMputVariable OpenMathDevice OMread OpenMathPackage OMReadError? OpenMathErrorKind OMreadFile OpenMathPackage OMreadStr OpenMathPackage OMreceive OpenMathServerPackage OMsend OpenMathServerPackage OMserve OpenMathServerPackage OMsetEncoding OpenMathDevice OMsupportsCD? OpenMathPackage OMsupportsSymbol? OpenMathPackage OMunhandledSymbol OpenMathPackage OMUnknownCD? OpenMathErrorKind OMUnknownSymbol? OpenMathErrorKind OMwrite ExpressionToOpenMath, [1], [2], [3] OpenMath, [1], [2], [3] one GuessOption GuessOptionFunctions0 one? JetBundleCategory MagmaWithUnit PolynomialIdeal OneDimensionalArray oneDimensionalArray, [1] oneDimensionalArray OneDimensionalArray, [1] OneDimensionalArrayAggregate OneDimensionalArrayFunctions2 map reduce scan OnePointCompletion finite? infinite? infinity rational rational? rationalIfCan OnePointCompletionFunctions2 map, [1] oneSkeleton DeltaComplex FiniteSimplicialComplex open BasicFile BasicKeyedAccessFile FileCategory, [1] open? TubePlot OpenMath OMwrite, [1], [2], [3] OpenMathConnection OMbindTCP OMcloseConn OMconnectTCP OMconnInDevice OMconnOutDevice OMmakeConn OpenMathDevice OMclose OMgetApp OMgetAtp OMgetAttr OMgetBind OMgetBVar OMgetEndApp OMgetEndAtp OMgetEndAttr OMgetEndBind OMgetEndBVar OMgetEndError OMgetEndObject OMgetError OMgetFloat OMgetInteger OMgetObject OMgetString OMgetSymbol OMgetType OMgetVariable OMopenFile OMopenString OMputApp OMputAtp OMputAttr OMputBind OMputBVar OMputEndApp OMputEndAtp OMputEndAttr OMputEndBind OMputEndBVar OMputEndError OMputEndObject OMputError OMputFloat OMputInteger OMputObject OMputString OMputSymbol OMputVariable OMsetEncoding OpenMathEncoding OMencodingBinary OMencodingSGML OMencodingUnknown OMencodingXML OpenMathError errorInfo errorKind omError OpenMathErrorKind coerce OMParseError? OMReadError? OMUnknownCD? OMUnknownSymbol? OpenMathPackage OMlistCDs OMlistSymbols OMread OMreadFile OMreadStr OMsupportsCD? OMsupportsSymbol? OMunhandledSymbol OpenMathServerPackage OMreceive OMsend OMserve operation FortranCode OperationsQuery getDatabase Operator ^ adjoint, [1] conjug evaluate evaluateInverse makeop opeval operator AlgebraicFunction BasicOperator, [1] CombinatorialFunction CommonOperators ElementaryFunction ExpressionSpace2 FunctionalSpecialFunction KernelCategory LiouvillianFunction OutputFormTools

OperatorHandlers handler knownHandler? new removeHandler! setHandler! operatorHandlers Formatter FormatterCategory operatorNorm JLCF32LinearAlgebra, [1] JLCF64LinearAlgebra, [1] JLF32LinearAlgebra, [1] JLF64LinearAlgebra, [1] operators ExpressionSpace2 opeval ModuleOperator Operator opposite Poset opposite? AbelianMonoid option DrawOption DrawOptionFunctions1 GuessOption option? DrawOption optional FunctionSpaceAssertions PatternMatchAssertions optional? Pattern options ThreeDimensionalViewport, [1] TwoDimensionalViewport, [1] optpair Pattern opType ILogic LatticeJoinOfMeets LatticeMeetOfJoins OR Switch Or IndexedBits SingleInteger or BitAggregate Boolean OutputForm orbit PermutationCategory PermutationGroup, [1], [2] orbits PermutationGroup ord Character order DifferentialPolynomialCategory, [1] DifferentialVariableCategory FacetCategory FieldOfPrimeCharacteristic FindOrderFinite FiniteFieldCategory FiniteGroup FloatingPointSystem InnerTaylorSeries, [1] JetBundleCategory JetBundleFunctionCategory JetDifferentialEquation LaurentPolynomial MultivariateTaylorSeriesCategory, [1] NMFiniteField NMPadicIntegerCategory NMPrimeField PAdicIntegerCategory Permutation PermutationGroup PointsOfFiniteOrder PointsOfFiniteOrderRational ReducedDivisor UnivariatePolynomialCategory UnivariatePowerSeriesCategory, [1] orderDim JetBundleFunctionCategory OrderedAbelianGroup OrderedAbelianMonoid OrderedAbelianMonoidSup inf sup OrderedAbelianSemiGroup OrderedCancellationAbelianMonoid OrderedCompletion + - finite? infinite? minusInfinity plusInfinity rational rational? rationalIfCan whatInfinity OrderedCompletionFunctions2 map, [1] OrderedDirectProduct OrderedExpression OrderedFinite OrderedIntegralDomain OrderedMonoid OrderedMultisetAggregate min OrderedRing abs negative? positive? sign OrderedSemiGroup OrderedSet max min OrderedVariableList variable OrderingFunctions pureLex reverseLex totalLex OrderlyDifferentialPolynomial OrderlyDifferentialVariable ordinalAdd SmallOrdinal ordinalMul SmallOrdinal ordinalPower SmallOrdinal OrdinaryDifferentialRing coerce, [1] OrdinaryWeightedPolynomials / changeWeightLevel coerce, [1] OrdSetInts coerce value OrePolynomialMatrixOperations rowEchelon, [1] solve OrientedFacet addVertex allSubsets, [1] boolWordPermute, [1] boundary getIndexes getIndexesSigned isSubsetOf? join maxIndex minIndex orientedFacet, [1] orientedFacetIfCan orientedFacetSigned orientedFacetUnsigned position product refactorIndexes reindex sameFace? setMult! subtract orientedFacet OrientedFacet, [1] orientedFacetIfCan OrientedFacet orientedFacetSigned OrientedFacet orientedFacetUnsigned OrientedFacet orthogonalConvolution DistributionCategory OrthogonalPolynomialFunctions chebyshevT chebyshevU hermiteH laguerreL, [1] legendreP orthogonalPolynomials DistributionCategory, [1] orthonormalBasis RadicalEigenPackage outDegree FiniteGraph outerProduct VectorCategory outlineRender ThreeDimensionalViewport output OutputPackage, [1], [2] outputArgs NormalizationPackage outputAsFortran FortranProgramCategory SpecialOutputPackage, [1], [2] outputAsMathML SpecialOutputPackage, [1] outputAsTex SpecialOutputPackage, [1] OutputBox box depth empty empty? hcenter hconcat height lines pad vconcat, [1] width outputFixed Float, [1] outputFloating Float, [1] OutputForm * + -, [1] / < <= = > >= ^ ~= and assign binomial blankSeparate box brace, [1] bracket, [1] center, [1] commaSeparate differentiate dot, [1] elt empty exquo hconcat, [1] hspace infix, [1] infix? int, [1], [2] label left, [1] matrix message messagePrint not or outputForm, [1], [2] over overbar overlabel paren, [1] pile postfix prefix presub presuper prime, [1] print prod, [1], [2] quo quote rarrow rem right, [1] root, [1] rspace scripts SEGMENT, [1] semicolonSeparate slash sub sum, [1], [2] super supersub tensor vconcat, [1] vspace zag outputForm ListMonoidOps OutputForm, [1], [2] SparseUnivariatePolynomial SparseUnivariateSkewPolynomial OutputFormatterCategory convert display OutputFormTools arguments atom? atom_to_string construct empty? has_op? integer integer? is_symbol? operator precondition string string? symbol symbol? outputGeneral Float, [1] outputList OutputPackage OutputPackage output, [1], [2] outputList outputSpacing Float outputVRML XmlAttribute XmlElement over OutputForm overbar FormatterCategory OutputForm overlabel OutputForm overlap FreeMonoid overlaps? NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField overset? ParametricLinearEquations

P

P JetBundleCategory, [1], [2], [3] JetBundleFunctionCategory, [1], [2], [3] pa_to_sup U32VectorPolynomialOperations VectorPolynomialOperationsF VectorPolynomialOperationsP pack! KeyedAccessFile Library pack_exps ModularAlgebraicGcdOperations pack_exps0 ModularAlgebraicGcdTools3 pack_modulus ModularAlgebraicGcdOperations packageCall InputFormFunctions1, [1] pad OutputBox pade PadeApproximantPackage, [1] PadeApproximants padeApproximant JLWSExpression PadeApproximantPackage pade, [1] PadeApproximants pade padecf padecf PadeApproximants padicallyExpand PartialFraction padicFraction PartialFraction PAdicInteger PAdicIntegerCategory approximate complete digits extend moduloP modulus order quotientByP root sqrt PAdicRational approximate continuedFraction removeZeroes, [1] PAdicRationalConstructor approximate continuedFraction removeZeroes, [1] PAdicWildFunctionFieldIntegralBasis integralBasis localIntegralBasis reducedDiscriminant pair? SExpressionCategory Palette bright coerce dark dim hue light pastel shade palgint PureAlgebraicIntegration palgint0 GenusZeroIntegration, [1] palgintegrate AlgebraicIntegrate palgLODE PureAlgebraicIntegration palgLODE0 GenusZeroIntegration, [1] palgRDE PureAlgebraicIntegration palgRDE0 GenusZeroIntegration, [1] parabolic CoordinateSystems parabolicCylinderD JLWSExpression JLWSNumericalSpecialFunctions parabolicCylindrical CoordinateSystems paraboloidal CoordinateSystems ParadoxicalCombinatorsForStreams Y, [1] parallel SPointCategory ParallelIntegrationTools split param_LODE PureAlgebraicIntegration param_RDE PureAlgebraicIntegration param_rde ParametricRischDE, [1] param_rde2 ParametricRischDE parametersOf SymbolTable parametric? Plot ParametricComplexCurve complex_curve get_value ParametricIntegration extendedint, [1], [2] logextint polylog_int ParametricLinearEquations B1solve bsolve dmp2rfi, [1], [2] factorset hasoln inconsistent?, [1] maxrank minrank minset nextSublist overset? ParCond ParCondList pr2dmp psolve, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] rdregime redmat redpps regime se2rfi sqfree wrregime ParametricPlaneCurve coordinate curve ParametricPlaneCurveFunctions2 map ParametricRischDE exp_lower_bound param_rde, [1] param_rde2 ParametricSpaceCurve coordinate curve ParametricSpaceCurveFunctions2 map ParametricSurface coordinate surface ParametricSurfaceFunctions2 map ParametricTranscendentalIntegration diffextint expextint logextint monologextint primextint unkextint ParCond ParametricLinearEquations ParCondList ParametricLinearEquations paren ExpressionSpace2 OutputForm, [1] parent SubSpace parenthesize FormatterCategory parenthesizeIf FormatterCategory parse InputForm parse_integer ScanningUtilities parseIL ILogic parseIL2 ILogic parseILTerm ILogic parseLambda Lambda parseSki SKICombinators parseTerm Lambda SKICombinators parseVar VarCat parseVarTerm VarCat part JLWSAggregate partial MathematicalSymbols partialDenominators ContinuedFraction PartialDifferentialOperator adjoint D PartialDifferentialOperatorHelper diff_map id_map PartialDifferentialRing D, [1], [2], [3] differentiate, [1], [2], [3] PartialFraction coerce, [1] compactFraction fractionalTerms group_terms numberOfFractionalTerms padicallyExpand padicFraction partialFraction, [1] wholePart partialFraction PartialFraction, [1] PartialFractionPackage, [1] PartialFractionPackage partialFraction, [1] PartialFractionUtilities decompose partialNumerators ContinuedFraction PartialOrder < <= > >= partialQuotients ContinuedFraction PartialTranscendentalFunctions acoshIfCan acosIfCan acothIfCan acotIfCan acschIfCan acscIfCan asechIfCan asecIfCan asinhIfCan asinIfCan atanhIfCan atanIfCan coshIfCan cosIfCan cothIfCan cotIfCan cschIfCan cscIfCan expIfCan logIfCan nthRootIfCan sechIfCan secIfCan sinhIfCan sinIfCan tanhIfCan tanIfCan particularSolution LinearDependence, [1], [2], [3] LinearSystemMatrixPackage LinearSystemMatrixPackage1 ODETools PolynomialSolveByFormulas particularSolutionOverConstants ConstantLinearDependence, [1] particularSolutionOverQ IntegerLinearDependence, [1] Partition coerce conjugate partition pdct powers partition IntegerCombinatoricFunctions Partition partitions PartitionsAndPermutations, [1], [2] PartitionsAndPermutations conjugate conjugates distinct_partitions, [1] odd_partitions, [1] partitions, [1], [2] permutations sequences, [1] shuffle shufflein parts HomogeneousAggregate TwoDimensionalArrayCategory pascalTriangle GaloisGroupUtilities pastel Palette PathArrayPackage bottom jacobiPathArray motzkinPathArray Pattern * + / 0 1 ^, [1] addBadValue constant? convert copy depth elt generic? getBadValues hasPredicate? hasTopPredicate? inR? isExpt isList isOp, [1] isPlus isPower isQuotient isTimes multiple? optional? optpair patternVariable predicates quoted? resetBadValues setPredicates setTopPredicate symbol? topPredicate variables withPredicates pattern RewriteRule Patternable PatternFunctions1 addBadValue badValues predicate satisfy?, [1] suchThat, [1], [2] PatternFunctions2 map PatternMatch Is, [1], [2], [3] is?, [1] patternMatch ComplexPatternMatch PatternMatchable PatternMatchFunctionSpace PatternMatchIntegerNumberSystem PatternMatchKernel PatternMatchListAggregate PatternMatchPolynomialCategory, [1] PatternMatchPushDown PatternMatchQuotientFieldCategory PatternMatchSymbol PatternMatchTools PatternMatchable patternMatch PatternMatchAssertions constant multiple optional PatternMatchFunctionSpace patternMatch PatternMatchIntegerNumberSystem patternMatch PatternMatchIntegration pmintegrate splitConstant PatternMatchKernel patternMatch PatternMatchListAggregate patternMatch PatternMatchListResult atoms failed failed? lists makeResult new PatternMatchPolynomialCategory patternMatch, [1] PatternMatchPushDown fixPredicate patternMatch PatternMatchQuotientFieldCategory patternMatch PatternMatchResult addMatch addMatchRestricted construct destruct failed failed? getMatch insertMatch new satisfy? union PatternMatchResultFunctions2 map PatternMatchSymbol patternMatch patternMatchTimes PatternMatchTools PatternMatchTools patternMatch patternMatchTimes patternVariable Pattern pdct Partition pencil FreeDivisionAlgebra PendantTree coerce ptree, [1] perfectNthPower? IntegerRoots perfectNthRoot IntegerRoots, [1] perfectSqrt IntegerRoots perfectSquare? IntegerRoots perm_to_vec PermutationGroup Permanent permanent permanent JLWSMatrix Permanent Permutation coerce, [1] coerceImages coerceListOfPairs coercePreimagesImages cyclePartition degree even? fixedPoints listRepresentation movedPoints numberOfCycles odd? order sign sort permutation CombinatorialFunction CombinatorialFunctionCategory IntegerCombinatoricFunctions PermutationCategory < cycle cycles elt eval orbit PermutationGroup < <= base coerce, [1] degree elt generators initializeGroupForWordProblem, [1] member? movedPoints orbit, [1], [2] orbits order perm_to_vec permutationGroup pointList random, [1] relationsInGenerators relationsInStrongGenerators strongGenerators wordInGenerators wordInStrongGenerators wordsForStrongGenerators permutationGroup PermutationGroup PermutationGroupExamples abelianGroup alternatingGroup, [1] cyclicGroup, [1] dihedralGroup, [1] janko2, [1] mathieu11, [1] mathieu12, [1] mathieu22, [1] mathieu23, [1] mathieu24, [1] rubiksGroup symmetricGroup, [1] youngGroup, [1] permutationRepresentation FiniteGroupPackage RepresentationPackage1, [1], [2], [3] permutations PartitionsAndPermutations perpendicular SPointCategory perspective ThreeDimensionalViewport Pfaffian MatrixCategory SquareMatrixCategory Phi MathematicalSymbols phi MathematicalSymbols phiCoord PointPackage physicalLength FlexibleArray IndexedFlexibleArray physicalLength! FlexibleArray IndexedFlexibleArray Pi MathematicalSymbols pi ElementaryFunction FortranExpression InnerNMExactCalciumField MathematicalSymbols NMAcbField NMComplexBall NMComplexField NMExactCalciumField PiDomain TranscendentalFunctionCategory PiCoercions coerce PiDomain pi pile FormatterCategory OutputForm pivot SparseEchelonMatrix pivots SparseEchelonMatrix PlaneAlgebraicCurvePlot makeSketch refine plenaryPower NonAssociativeAlgebra pleskenSplit ComplexRootFindingPackage, [1] Plot adaptive? debug maxPoints minPoints numFunEvals parametric? plot, [1], [2], [3], [4], [5], [6] plotPolar, [1] pointPlot, [1] refine, [1] screenResolution setAdaptive setMaxPoints setMinPoints setScreenResolution tRange zoom, [1] plot Plot, [1], [2], [3], [4], [5], [6] Plot3D, [1], [2] PlotFunctions1, [1] Plot3D adaptive3D? debug3D maxPoints3D minPoints3D numFunEvals3D plot, [1], [2] pointPlot, [1] refine, [1] screenResolution3D setAdaptive3D setMaxPoints3D setMinPoints3D setScreenResolution3D tRange tValues zoom PlotFunctions1 plot, [1] plotPolar, [1] plotPolar Plot, [1] PlotFunctions1, [1] PlottablePlaneCurveCategory listBranches xRange yRange PlottableSpaceCurveCategory listBranches xRange yRange zRange PlotTools calcRanges plus FloatElementaryFunctions FloatingPointOperations ThreeDimensionalMatrix plus! StorageEfficientMatrixOperations plusInfinity Infinity OrderedCompletion Pm JetBundleCategory pmintegrate PatternMatchIntegration Pnan? SPointCategory pochhammer JLWSExpression JLWSNumericalSpecialFunctions PoincareBirkhoffWittLyndonBasis 1 coerce, [1] first length listOfTerms rest retractable? varList Point point GraphImage PointCategory ThreeSpaceCategory, [1], [2], [3], [4] TubePlotTools point? ThreeSpaceCategory PointCategory convert cross dimension extend point pointColor DrawOption, [1] pointColorDefault ViewDefaultsPackage, [1] pointColorPalette DrawOptionFunctions0 pointData SubSpace PointFunctions2 map pointList PermutationGroup SceneIFS pointLists GraphImage PointPackage color hue phiCoord rCoord shade thetaCoord xCoord yCoord zCoord pointPlot Plot, [1] Plot3D, [1] points TwoDimensionalViewport pointSizeDefault ViewDefaultsPackage, [1] PointsOfFiniteOrder cmult handle_imaginary order possibleOrder simplifyCoeffs torsion? torsionIfCan PointsOfFiniteOrderRational order torsion? torsionIfCan PointsOfFiniteOrderTools badNum, [1] doubleDisc getGoodPrime mix polyred poisson RandomIntegerDistributions poissonDistribution DistributionPackage pol InnerNormalBasisFieldFunctions polar CoordinateSystems

polarCoordinates ComplexCategory polCase LeadingCoefDetermination pole? InnerTaylorSeries PowerSeriesCategory PollardSmallFactor IntegerFactorizationPackage PolToPol dmpToHdmp dmpToP hdmpToDmp hdmpToP pToDmp pToHdmp poly_factor ExpressionFactorPolynomial poly_int DenominatorIntegration polygamma DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLWSNumericalSpecialFunctions SpecialFunctionCategory polygon ThreeSpaceCategory, [1], [2], [3] polygon? ThreeSpaceCategory PolyGroebner lexGroebner totalGroebner polylog FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory polylog_int ParametricIntegration Polynomial integrate polynomial FreeDivisionAlgebra MultivariateTaylorSeriesCategory, [1] UnivariateTaylorSeriesCategory, [1] polynomial? FreeDivisionAlgebra JLWSExpression, [1] PolynomialAN2Expression coerce, [1] PolynomialCategory content discriminant isExpt isPlus isTimes minimumDegree, [1] monicDivide multivariate, [1] primitivePart, [1] resultant squareFree squareFreePart univariate, [1] PolynomialCategoryLifting map PolynomialCategoryQuotientFunctions isExpt isPlus isPower isTimes mainVariable multivariate univariate, [1] variables PolynomialCommonDenominator clearDenominator commonDenominator splitDenominator PolynomialEvaluationUtilities eval1, [1] eval1a modpeval modpreduction, [1] polynomialExtendedGCD JLWSExpression polynomialFactor JLWSExpression PolynomialFactorizationByRecursion bivariateSLPEBR factorByRecursion factorSquareFreeByRecursion randomR solveLinearPolynomialEquationByRecursion PolynomialFactorizationExplicit charthRoot conditionP factorPolynomial factorSquareFreePolynomial gcdPolynomial solveLinearPolynomialEquation squareFreePolynomial PolynomialFunctions2 map polynomialGCD JLWSExpression, [1] PolynomialGcdPackage gcd, [1], [2], [3] gcdPrimitive, [1], [2] PolynomialIdeal * + ^ backOldPos coerce dimension, [1] element? generalPosition generators groebner groebner? groebnerIdeal ideal in? inRadical? intersect, [1] leadingIdeal one? quotient, [1] relationsIdeal saturate, [1] zero? zeroDim?, [1] PolynomialInterpolation interpolate, [1] PolynomialInterpolationAlgorithms LagrangeInterpolation polynomialLCM JLWSExpression, [1] polynomialMod JLWSExpression PolynomialNumberTheoryFunctions bernoulli chebyshevT chebyshevU cyclotomic euler fixedDivisor hermite laguerre legendre polynomialQuotient JLWSExpression polynomialQuotientRemainder JLWSExpression PolynomialRationalRoots get_rational_roots integerBound polynomialReduce JLWSExpression polynomialRemainder JLWSExpression PolynomialRing PolynomialRoots froot nthr qroot rroot PolynomialSetCategory collect collectUnder collectUpper headRemainder iexactQuo mainVariable? mainVariables mvar remainder rewriteIdealWithHeadRemainder rewriteIdealWithRemainder roughBase? roughEqualIdeals? roughSubIdeal? roughUnitIdeal? sort triangular? trivialIdeal? variables PolynomialSetUtilitiesPackage bivariate? bivariatePolynomials certainlySubVariety? crushedSet interReduce irreducibleFactors lazyIrreducibleFactors linear? linearPolynomials possiblyNewVariety? probablyZeroDim? quasiMonicPolynomials removeIrreducibleRedundantFactors removeRedundantFactors, [1], [2], [3], [4] removeRedundantFactorsInContents removeRedundantFactorsInPols removeRoughlyRedundantFactorsInContents removeRoughlyRedundantFactorsInPol removeRoughlyRedundantFactorsInPols, [1] removeSquaresIfCan rewriteIdealWithQuasiMonicGenerators rewriteSetByReducingWithParticularGenerators roughBasicSet selectAndPolynomials selectOrPolynomials selectPolynomials squareFreeFactors univariate? univariatePolynomials univariatePolynomialsGcds, [1] unprotectedRemoveRedundantFactors PolynomialSolveByFormulas aCubic aLinear aQuadratic aQuartic cubic, [1] linear, [1] particularSolution quadratic, [1] quartic, [1] solve PolynomialSquareFree squareFree PolynomialToUnivariatePolynomial univariate polyPart FullPartialFractionExpansion polyred PointsOfFiniteOrderTools polyRicDE PrimitiveRatRicDE RationalRicDE pomopo! FiniteAbelianMonoidRing pop! StackAggregate popFortranOutputStack FortranOutputStackPackage Poset addArrow! addObject! completeReflexivity completeTransitivity coverMatrix finitePoset, [1] getArr getVert glb implies indexToObject isAntiChain? isAntisymmetric? isChain? joinIfCan, [1] lowerSet lub meetIfCan, [1] moebius objectToIndex opposite powerSetStructure setArr setVert upperSet zetaMatrix PosetFactory completelyOrderedSet posetL7 posetM5 posetN5 posetO6 posetP6 powerset posetL7 PosetFactory posetM5 PosetFactory posetN5 PosetFactory posetO6 PosetFactory posetP6 PosetFactory position CachableSet CubicalFacet LinearAggregate, [1], [2] OrientedFacet StringAggregate, [1] positive? IntervalCategory JLWSExpression OrderedRing RealRootCharacterizationCategory positiveDefinite? JLComplexF32Matrix JLComplexF64Matrix JLFloat32Matrix JLFloat64Matrix JLWSMatrix positiveInfinity InnerNMExactCalciumField JLMachineFloat JLWSExpression NMExactCalciumField PositiveInteger gcd qcoerce positivePower MatrixCategory positiveRemainder IntegerNumberSystem positiveSolve ZeroDimensionalSolvePackage, [1], [2], [3] possibleOrder PointsOfFiniteOrder possiblyInfinite? StreamAggregate possiblyNewVariety? PolynomialSetUtilitiesPackage postfix OutputForm pow InnerNMExactCalciumField ModMonic NMExactCalciumField U32VectorPolynomialOperations power FormatterCategory StreamTaylorSeriesOperations power! StorageEfficientMatrixOperations power_matrix ModularFactorizationOperations powerAssociative? FiniteRankNonAssociativeAlgebra powerExpand JLWSExpression, [1] powern StreamTaylorSeriesOperations powers Partition PowerSeriesCategory complete degree leadingCoefficient leadingMonomial pole? PowerSeriesLimitPackage complexLimit limit, [1] powerset PosetFactory powerSetStructure Poset powerSum CycleIndicators powmod IntegerNumberSystem powToUPS FunctionSpaceToUnivariatePowerSeries2 pquo RecursivePolynomialCategory, [1] Pr JetBundleCategory pr2dmp ParametricLinearEquations pre_gauss UnitGaussianElimination pre_lr UnitGaussianElimination pre_process RegularTriangularSet SquareFreeRegularTriangularSet pre_smith UnitGaussianElimination precedence FormatterCategory precision ExtendedNMPadicInteger FloatingPointSystem, [1] JLArbitraryPrecision JLComplexFloat, [1] JLFloat, [1] MachineFloat, [1] NMAcbField NMComplexBall NMComplexField, [1] NMPadicInteger PrecomputedAssociatedEquations firstUncouplingMatrix precondition OutputFormTools predicate PatternFunctions1 predicates Pattern prefix FormatterCategory OutputForm prefix? StringAggregate prefixRagits RadixExpansion prem RecursivePolynomialCategory, [1] Preorder le prepareDecompose QuasiComponentPackage SquareFreeQuasiComponentPackage prepareSubResAlgo RegularTriangularSetGcdPackage prepend JLWSAggregate presub OutputForm presuper OutputForm pretendOfType InputFormFunctions1 previous DoublyLinkedAggregate prevPrime IntegerPrimesPackage primaryDecomp IdealDecompositionPackage prime ExtendedNMPadicInteger FormatterCategory NMPadicInteger OutputForm, [1] prime? GaussianFactorizationPackage IdealDecompositionPackage IntegerPrimesPackage UniqueFactorizationDomain primeFactor Factored PrimeField sqrt primeFrobenius FieldOfPrimeCharacteristic, [1] primes IntegerPrimesPackage primextint ParametricTranscendentalIntegration PrimGCD alg_reduce alg_reduce0 alg_trial_division coeffs0 coeffs1 lcx0 lcz primintegrate TranscendentalIntegration primitive? FiniteFieldCategory FiniteFieldPolynomialPackage PrimitiveArray PrimitiveArrayFunctions2 map reduce scan PrimitiveElement primitiveElement, [1], [2] primitiveElement FiniteFieldCategory FunctionSpacePrimitiveElement, [1] PrimitiveElement, [1], [2] PrimitiveFunctionCategory integral, [1] primitiveMonomials MaybeSkewPolynomialCategory NMMultivariateLaurentPolynomial NMMultivariatePolynomial primitivePart FiniteAbelianMonoidRing FunctionFieldCategory PolynomialCategory, [1] SubResultantPackage primitivePart! RecursivePolynomialCategory PrimitiveRatDE denomLODE, [1] indicialEquation, [1] indicialEquations, [1], [2], [3] splitDenominator PrimitiveRatRicDE changeVar, [1] constantCoefficientRicDE denomRicDE leadingCoefficientRicDE polyRicDE singRicDE primitiveRowEchelon SparseEchelonMatrix PrimitiveTwoDimensionalArray primPartElseUnitCanonical RecursivePolynomialCategory primPartElseUnitCanonical! RecursivePolynomialCategory prinb GroebnerInternalPackage principal? FiniteDivisorCategory principalIdeal PrincipalIdealDomain PrincipalIdealDomain expressIdealMember principalIdeal principalSubResultantSet CylindricalAlgebraicDecompositionPackage prindINFO GroebnerInternalPackage prinpolINFO GroebnerInternalPackage prinshINFO GroebnerInternalPackage print OutputForm PrintPackage printCode FortranCode printHeader TheSymbolTable, [1], [2] printInfo RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage printInfo! TabulatedComputationPackage printingInfo? TabulatedComputationPackage PrintPackage print printStatement FortranCode printStats! TabulatedComputationPackage printSys JetDifferentialEquation printTypes SymbolTable TheSymbolTable PriorityQueueAggregate max merge merge! probablePrime? NMInteger probablyZeroDim? PolynomialSetUtilitiesPackage processTemplate FortranTemplate, [1] prod OutputForm, [1], [2] prodiag StreamTaylorSeriesOperations Product construct first second product CartesianTensor CombinatorialFunction, [1] CombinatorialOpsCategory, [1] CubicalFacet FiniteCubicalComplex FiniteSimplicialComplex FormatterCategory GradedAlgebra JLWSExpression, [1], [2] OrientedFacet XPBWPolynomial ProductFacet addVertex2 getIndexs getMaxLeft getMaxRight productFacet, [1] setMult! productFacet ProductFacet, [1] project JetDifferentialEquation projection Cell projectionSet CylindricalAlgebraicDecompositionPackage projectiveSpace CubicalComplexFactory DeltaComplexFactory SimplicialComplexFactory prolateSpheroidal CoordinateSystems prologue Formatter TexFormat prolong JetDifferentialEquation, [1] JetVectorField prolongMV JetDifferentialEquation prolongSymbol JetDifferentialEquation properties BasicOperator property BasicOperator proposition ILogic pseudoDivide NMUnivariatePolynomial RecursivePolynomialCategory UnivariatePolynomialCategory PseudoLinearNormalForm changeBase companionBlocks normalForm pseudoQuotient UnivariatePolynomialCategory pseudoRem ModularAlgebraicGcdOperations pseudoRemainder UnivariatePolynomialCategory PseudoRemainderSequence chainSubResultants degreeSubResultant degreeSubResultantEuclidean discriminant discriminantEuclidean divide gcd indiceSubResultant indiceSubResultantEuclidean lastSubResultant lastSubResultantEuclidean LazardQuotient LazardQuotient2 next_sousResultant2 resultant resultantEuclidean resultantReduit resultantReduitEuclidean schema semiDegreeSubResultantEuclidean semiDiscriminantEuclidean semiIndiceSubResultantEuclidean semiLastSubResultantEuclidean semiResultantEuclidean1 semiResultantEuclidean2 semiResultantReduitEuclidean semiSubResultantGcdEuclidean1 semiSubResultantGcdEuclidean2 subResultantGcd subResultantGcdEuclidean Psi MathematicalSymbols psi MathematicalSymbols psolve ParametricLinearEquations, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] ptFunc MeshCreationRoutinesForThreeDimensions pToDmp PolToPol pToHdmp PolToPol ptree PendantTree, [1] puiseux ExpressionToUnivariatePowerSeries, [1], [2], [3], [4] GenerateUnivariatePowerSeries, [1] GenerateUnivariatePowerSeries1 GenerateUnivariatePowerSeries2, [1] UnivariatePuiseuxSeriesConstructorCategory PureAlgebraicIntegration palgint palgLODE palgRDE param_LODE param_RDE PureAlgebraicLODE algDsolve, [1] pureLex OrderingFunctions purelyAlgebraic? RegularTriangularSetCategory, [1] purelyAlgebraicLeadingMonomial? RegularTriangularSetCategory purelyTranscendental? RegularTriangularSetCategory purge! SparseEchelonMatrix push! StackAggregate pushdown MPolyCatRationalFunctionFactorizer PushVariables pushdterm MPolyCatRationalFunctionFactorizer pushFortranOutputStack FortranOutputStackPackage, [1] pushucoef MPolyCatRationalFunctionFactorizer pushuconst MPolyCatRationalFunctionFactorizer pushup MPolyCatRationalFunctionFactorizer PushVariables PushVariables map pushdown pushup putColorInfo GraphImage putGraph TwoDimensionalViewport

Q

qaddColumns! FreeDivisionAlgebra LinearMultivariateMatrixPencil qaddRows! FreeDivisionAlgebra LinearMultivariateMatrixPencil QBinomial JLWSExpression JLWSNumericalSpecialFunctions qcoerce JLComplexF32SquareMatrix JLComplexF64SquareMatrix JLF32SquareMatrix JLF64SquareMatrix NonNegativeInteger PositiveInteger qcolumnIndices LinearMultivariateMatrixPencil, [1], [2] qconvert SingleInteger U64Int qdiagonal LinearMultivariateMatrixPencil qdiagonal? LinearMultivariateMatrixPencil qelt EltableAggregate FreeDivisionAlgebra JLObjDict, [1] JLObjectAggregate, [1] JLWSAggregate JLWSMatrix LinearMultivariateMatrixPencil, [1] RectangularMatrixCategory TwoDimensionalArrayCategory qequal? LinearMultivariateMatrixPencil QFactorial JLWSExpression JLWSInteger JLWSNumericalSpecialFunctions QGamma JLWSExpression JLWSNumericalSpecialFunctions qinterval IntervalCategory qlog DoubleFloat qmultiplyColumn! LinearMultivariateMatrixPencil qmultiplyRow! LinearMultivariateMatrixPencil qnew ComplexDoubleFloatVector DoubleFloatVector FreeDivisionAlgebra, [1] JLComplexF32Vector JLComplexF64Vector JLFloat32Vector JLFloat64Vector JLInt64Vector LinearMultivariateMatrixPencil TwoDimensionalArrayCategory qnilpotent? LinearMultivariateMatrixPencil QPochhammer JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] QPolyGamma JLWSExpression, [1] JLWSNumericalSpecialFunctions, [1] qPot InnerNormalBasisFieldFunctions qr JLWSMatrix qregular? FreeDivisionAlgebra qroot PolynomialRoots qrowIndices LinearMultivariateMatrixPencil, [1], [2] qscaleBlock! LinearMultivariateMatrixPencil qsemizero? LinearMultivariateMatrixPencil qsetelt JLWSAggregate JLWSMatrix qsetelt! EltableAggregate JLWSAggregate JLWSMatrix LinearMultivariateMatrixPencil, [1] TwoDimensionalArrayCategory qsetfirst! UnaryRecursiveAggregate qsetrest! UnaryRecursiveAggregate qShiftAction FractionFreeFastGaussian qShiftC FractionFreeFastGaussian qsqrt DoubleFloat qswapColumns! FreeDivisionAlgebra LinearMultivariateMatrixPencil qswapRows! FreeDivisionAlgebra LinearMultivariateMatrixPencil quadratic PolynomialSolveByFormulas, [1] QuadraticForm elt matrix quadraticForm quadraticForm QuadraticForm quadraticNonResidue InnerPrimeField quadraticNorm GaloisGroupFactorizationUtilities quantityForm JLWSExpression, [1]

quantityMagnitude JLWSExpression quantityUnit JLWSExpression quartic PolynomialSolveByFormulas, [1] quartic2 RootUtilities QuasiAlgebraicSet definingEquations definingInequation empty empty? idealSimplify quasiAlgebraicSet setStatus simplify status quasiAlgebraicSet QuasiAlgebraicSet QuasiAlgebraicSet2 radicalSimplify quasiComponent TriangularSetCategory QuasiComponentPackage algebraicSort branchIfCan infRittWu? internalInfRittWu? internalSubPolSet? internalSubQuasiComponent? moreAlgebraic? prepareDecompose removeSuperfluousCases removeSuperfluousQuasiComponents startTable! stopTable! subCase? subPolSet? subQuasiComponent?, [1] subTriSet? supDimElseRittWu? quasiMonic? RecursivePolynomialCategory quasiMonicPolynomials PolynomialSetUtilitiesPackage quasiRegular XFreeAlgebra XPolynomialRing quasiRegular? XFreeAlgebra XPolynomialRing quatern QuaternionCategory Quaternion QuaternionCategory abs conjugate imagI imagJ imagK norm quatern rational rational? rationalIfCan real QuaternionCategoryFunctions2 map QueryEquation equation value variable Queue queue queue Queue QueueAggregate back dequeue! enqueue! front rotate! quickSort FiniteLinearAggregateSort quo EuclideanDomain NMUnivariateLaurentPolynomial NMUnivariatePolynomial NonNegativeInteger OutputForm quoByVar UnivariateTaylorSeriesCategory quote Character OutputForm quoted? Pattern quotedOperators RewriteRule quotient FloatElementaryFunctions GroupPresentation, [1] PolynomialIdeal, [1] quotientByP NMPadicIntegerCategory PAdicIntegerCategory QuotientFieldCategory / ceiling denom denominator floor fractionPart numer numerator wholePart QuotientFieldCategoryFunctions2 map quppertriangular? LinearMultivariateMatrixPencil qzero? FreeDivisionAlgebra, [1], [2] LinearMultivariateMatrixPencil, [1], [2]

R

R1_to_R2_coercion DistributionFunctions2 r2m JetBundleCategory rabs FloatEllipticFunctions, [1] FloatSpecialFunctions, [1], [2], [3] racahR FunctionalSpecialFunction SpecialFunctionCategory rad2Deg JLComplexFloatSpecialFunctions JLFloatSpecialFunctions rad2deg JLFloat32SpecialFunctions JLFloat64SpecialFunctions radical IdealDecompositionPackage radical_solve RadicalSolvePackage RootUtilities RadicalCategory ^ nthRoot sqrt RadicalEigenPackage eigenMatrix gramschmidt normalise orthonormalBasis radicalEigenvalues radicalEigenvector radicalEigenvectors radicalEigenvalues JLMatrix RadicalEigenPackage radicalEigenvaluesWithMultiplicities JLMatrix radicalEigenvector RadicalEigenPackage radicalEigenvectors RadicalEigenPackage RadicalFunctionField radicalOfLeftTraceForm AlgebraPackage radicalRoots RadicalSolvePackage, [1] radicalSimplify QuasiAlgebraicSet2 radicalSolve RadicalSolvePackage, [1], [2], [3], [4], [5], [6], [7] RadicalSolvePackage contractSolve, [1] cyclotomic_case? radical_solve radicalRoots, [1] radicalSolve, [1], [2], [3], [4], [5], [6], [7] radius NMArbField NMRealBall NMRealField radix RadixUtilities RadixExpansion coerce cycleRagits fractionPart fractRadix fractRagits prefixRagits wholeRadix wholeRagits RadixUtilities radix radPoly ChangeOfVariable raisePolynomial FactoringUtilities ramanujanTau JLWSExpression JLWSNumericalSpecialFunctions ramanujanTauL JLWSExpression JLWSNumericalSpecialFunctions ramanujanTauTheta JLWSExpression JLWSNumericalSpecialFunctions ramanujanTauZ JLWSExpression JLWSNumericalSpecialFunctions ramified? FunctionFieldCategory, [1] ramifiedAtInfinity? FunctionFieldCategory ran FactoringUtilities randnum RandomNumberSource, [1] random Finite FiniteFieldPolynomialPackage, [1] InnerNMExactCalciumField, [1] InnerNormalBasisFieldFunctions Integer IntegerNumberSystem JLWSGaussianInteger NMAlgebraicNumber NMExactCalciumField, [1] NMFraction, [1], [2] NMInteger NonNegativeInteger PermutationGroup, [1] random_poly ModularFactorizationOperations randomComplexMatrix JLWSMatrix RandomDistributions rdHack1 uniform weighted RandomFloatDistributions Beta chiSquare chiSquare1 exponential exponential1 F normal normal01 t uniform uniform01 RandomIntegerDistributions binomial geometric poisson ridHack1 uniform randomLC FractionalIdeal RandomNumberSource randnum, [1] reseed seed size randomR GeneralPolynomialGcdPackage PolynomialFactorizationByRecursion randomRealMatrix JLWSMatrix range DrawOption, [1] JLWSUtilityFunctions, [1], [2] rangePascalTriangle GaloisGroupUtilities, [1] ranges DrawOption DrawOptionFunctions0 GraphImage, [1] rank CartesianTensor FiniteRankAlgebra FiniteRankNonAssociativeAlgebra FramedModule FreeDivisionAlgebra InnerMatrixLinearAlgebraFunctions JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra LinearSystemMatrixPackage LinearSystemMatrixPackage1 MatrixCategory MatrixLinearAlgebraFunctions RectangularMatrixCategory VectorSpaceBasis, [1] rank! JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra rarrow OutputForm ratDenom AlgebraicManipulations, [1], [2], [3] ratDsolve RationalLODE, [1], [2], [3] ratexpr FreeDivisionAlgebra ratexprInverse FreeDivisionAlgebra rational ComplexCategory Factored IntegerNumberSystem OctonionCategory OnePointCompletion OrderedCompletion QuaternionCategory RationalRetractions rational? ComplexCategory Factored InnerNMExactCalciumField IntegerNumberSystem JLWSExpression NMAlgebraicNumber NMExactCalciumField OctonionCategory OnePointCompletion OrderedCompletion QuaternionCategory RationalRetractions rational_reconstruction VectorIntegerReconstructor, [1] VectorModularReconstructor, [1] rationalApproximation DoubleFloat, [1] Float, [1] JLWSAPReal, [1] JLWSExpression, [1] JLWSReal, [1] RationalFactorize factor factorSquareFree RationalFunction coerce eval, [1], [2], [3] mainVariable multivariate univariate variables rationalFunction UnivariateLaurentSeriesCategory, [1] RationalFunctionDefiniteIntegration integrate, [1], [2], [3] RationalFunctionFactor factor RationalFunctionIntegration infieldIntegrate internalIntegrate RationalFunctionLimitPackage complexLimit, [1] limit, [1], [2] RationalFunctionSign sign, [1], [2] RationalFunctionSum sum, [1], [2], [3] rationalIfCan ComplexCategory Factored IntegerNumberSystem OctonionCategory OnePointCompletion OrderedCompletion QuaternionCategory RationalRetractions RationalIntegration infieldint integrate RationalInterpolation interpolate rationalize_ir GenusZeroIntegration RationalLODE indicialEquationAtInfinity, [1] integrate_sols ratDsolve, [1], [2], [3] rationalPoint? FunctionFieldCategory rationalPoints FunctionFieldCategory rationalPower UnivariatePuiseuxSeriesConstructorCategory RationalRetractions rational rational? rationalIfCan RationalRicDE polyRicDE ricDsolve, [1], [2], [3], [4], [5], [6], [7] singRicDE RationalUnivariateRepresentationPackage rur, [1], [2] ratpart IntegrationResult ratPoly AlgebraicManipulations ravel CartesianTensor rc CliffordAlgebra rCoord PointPackage RDEaux multi_SPDE SPDE1 rdHack1 RandomDistributions rdregime ParametricLinearEquations read BasicFile BasicKeyedAccessFile read! FileCategory readable? FileNameCategory readIfCan BasicFile readIfCan! File TextFile readLine! TextFile readLineIfCan! TextFile real ComplexCategory ComplexTrigonometricManipulations JLComplexF32Matrix JLComplexF32Vector JLComplexF64Matrix JLComplexF64Vector NMAlgebraicNumber OctonionCategory QuaternionCategory TrigonometricManipulations real? ComplexTrigonometricManipulations FortranScalarType InnerNMExactCalciumField JLComplexFloat JLWSExpression NMAlgebraicNumber NMExactCalciumField TrigonometricManipulations RealClosedField allRootsOf, [1], [2], [3], [4], [5] approximate mainDefiningPolynomial mainForm mainValue rename rename! rootOf, [1] sqrt, [1], [2], [3] RealClosure algebraicOf mainCharacterization relativeApprox RealConstant realEigenvalues NumericRealEigenPackage realEigenvectors NumericRealEigenPackage realElementary ElementaryFunctionStructurePackage, [1] realLiouvillian ElementaryFunctionStructurePackage, [1] RealNormalizationUtilities try_real RealNumberSystem ceiling floor fractionPart norm round truncate wholePart realNumeric? JLWSExpression RealPolynomialUtilitiesPackage boundOfCauchy lazyVariations sturmSequence sturmVariationsOf sylvesterSequence RealRootCharacterizationCategory allRootsOf approximate definingPolynomial negative? positive? recip relativeApprox rootOf sign zero? realRoots FloatingRealPackage, [1] realSign NMAlgebraicNumber realSolve RealSolvePackage ZeroDimensionalSolvePackage, [1], [2], [3], [4] RealSolvePackage realSolve solve, [1] RealZeroPackage midpoint midpoints realZeros, [1], [2], [3] refine, [1] RealZeroPackageQ realZeros, [1], [2], [3] refine, [1] realZeros RealZeroPackage, [1], [2], [3] RealZeroPackageQ, [1], [2], [3] recip CliffordAlgebra EuclideanModularRing FiniteRankNonAssociativeAlgebra MagmaWithUnit ModularRing MoebiusTransform, [1] NormalizationPackage RealRootCharacterizationCategory StreamTaylorSeriesOperations reciprocalPolynomial ComplexRootFindingPackage recolor TopLevelDrawFunctionsForCompiledFunctions reconstruct VectorIntegerReconstructor VectorModularReconstructor, [1] RectangularMatrix coerce rectangularMatrix rectangularMatrix RectangularMatrix RectangularMatrixCategory / antisymmetric? column columnSpace diagonal? elt, [1] exquo listOfLists map, [1] matrix maxColIndex maxRowIndex minColIndex minRowIndex ncols nrows nullity nullSpace qelt rank row rowEchelon square? symmetric? RectangularMatrixCategoryFunctions2 map reduce recur MappingPackage1 MappingPackageInternalHacks1 RecurrenceOperator eltable? getEq makeFEq makeRec values, [1] RecursiveAggregate child? children cyclic? distance elt leaf? leaves node? nodes setchildren! setelt! setvalue! value RecursivePolynomialCategory convert, [1], [2] deepestInitial deepestTail exactQuotient, [1] exactQuotient!, [1] extendedSubResultantGcd gcd halfExtendedSubResultantGcd1 halfExtendedSubResultantGcd2 head headReduce headReduced?, [1] iexactQuo infRittWu? init initiallyReduce initiallyReduced?, [1] iteratedInitials lastSubResultant LazardQuotient LazardQuotient2 lazyPquo, [1] lazyPrem, [1] lazyPremWithDefault, [1] lazyPseudoDivide, [1] lazyResidueClass leadingCoefficient leastMonomial mainCoefficients mainContent mainMonomial mainMonomials mainPrimitivePart mainSquareFreePart mdeg monic? monicModulo mvar next_subResultant2 normalized?, [1] pquo, [1] prem, [1] primitivePart! primPartElseUnitCanonical primPartElseUnitCanonical! pseudoDivide quasiMonic? reduced?, [1] reductum resultant retract, [1], [2] retractIfCan, [1], [2] RittWuCompare subResultantChain subResultantGcd supRittWu? tail red Color red_pol! ModularFactorizationOperations redmat ParametricLinearEquations redPo GroebnerInternalPackage redPol GroebnerInternalPackage NGroebnerPackage redpps ParametricLinearEquations reduce AlgebraicNumber Collection, [1], [2] DegreeReductionPackage DirectProductFunctions2 EuclideanModularRing Expression ExtendedPolynomialReduction FiniteDivisorCategory FiniteLinearAggregateFunctions2 FiniteSetAggregateFunctions2 JetBundleExpression JetBundleXExpression JLFloat32VectorFunctions2 JLFloat64VectorFunctions2 JLVectorFunctions2 JLWSExpression, [1], [2], [3], [4], [5] ListFunctions2 MatrixCategoryFunctions2 ModMonic ModularField ModularRing MonogenicAlgebra, [1] OneDimensionalArrayFunctions2 PrimitiveArrayFunctions2 RectangularMatrixCategoryFunctions2 ResidueRing StreamFunctions2 TriangularSetCategory VectorFunctions2 reduceBasis NaiveBeckermannLabahnModular reduceBasis0 NaiveBeckermannLabahnModular reduceBasisAtInfinity FunctionFieldCategory reduceByQuasiMonic TriangularSetCategory reduced? RecursivePolynomialCategory, [1] TriangularSetCategory reducedContinuedFraction ContinuedFraction reducedDiscriminant PAdicWildFunctionFieldIntegralBasis ReducedDivisor order reducedForm ContinuedFraction reducedQPowers FiniteFieldPolynomialPackage reducedSystem ConstantLinearDependence, [1] LinearlyExplicitOver, [1] ReduceLODE reduceLODE, [1] reduceLODE ReduceLODE, [1] reduceMod JetBundleFunctionCategory ReduceOrder ReductionOfOrder, [1] reduction GeneralHenselPackage GenExEuclid InnerModularGcd ReductionOfOrder ReduceOrder, [1] reductum AntiSymm DeRhamComplex GeneralModulePolynomial IndexedProductCategory LaurentPolynomial RecursivePolynomialCategory SolvableSkewPolynomialCategory XPolynomialRing redux ILogic Lambda LatticeJoinOfMeets LatticeMeetOfJoins SKICombinators ref Reference refactor GroupPresentation refactorIndexes FiniteSimplicialComplex OrientedFacet Reference = deref elt ref setelt! setref refine FactoredFunctionUtilities JLWSExpression PlaneAlgebraicCurvePlot Plot, [1] Plot3D, [1] RealZeroPackage, [1] RealZeroPackageQ, [1] RightOpenIntervalRootCharacterization refine! FreeDivisionAlgebra, [1] refined? FreeDivisionAlgebra refinementEquations FreeDivisionAlgebra refinementGroebner FreeDivisionAlgebra refinementSolve FreeDivisionAlgebra refinementTransformations FreeDivisionAlgebra refineUR! FreeDivisionAlgebra, [1] regime ParametricLinearEquations

region TwoDimensionalViewport regular? FreeDivisionAlgebra RegularChain zeroSetSplit regularRepresentation FiniteGroupPackage FiniteRankAlgebra FramedAlgebra RegularSetDecompositionPackage algebraicDecompose convert decompose, [1] internalDecompose, [1], [2] KrullNumber numberOfVariables printInfo transcendentalDecompose, [1] upDateBranches RegularTriangularSet internalAugment internalZeroSetSplit pre_process zeroSetSplit, [1] RegularTriangularSetCategory algebraicCoefficients? augment, [1], [2], [3] extend, [1], [2], [3] internalAugment, [1] intersect, [1], [2], [3] invertible?, [1] invertibleElseSplit? invertibleSet lastSubResultant lastSubResultantElseSplit purelyAlgebraic?, [1] purelyAlgebraicLeadingMonomial? purelyTranscendental? squareFreePart zeroSetSplit RegularTriangularSetGcdPackage integralLastSubResultant internalLastSubResultant, [1] prepareSubResAlgo startTableGcd! startTableInvSet! stopTableGcd! stopTableInvSet! toseInvertible?, [1] toseInvertibleSet toseLastSubResultant toseSquareFreePart reindex CartesianTensor OrientedFacet relationsIdeal PolynomialIdeal relationsInGenerators PermutationGroup relationsInStrongGenerators PermutationGroup relativeApprox RealClosure RealRootCharacterizationCategory RightOpenIntervalRootCharacterization relerror Float rem EuclideanDomain NMUnivariateLaurentPolynomial NMUnivariatePolynomial NonNegativeInteger OutputForm remainder PolynomialSetCategory remainder! U32VectorPolynomialOperations RemainderList XPolynomial XRecursivePolynomial remap_variables SparsePolynomialCoercionHelpers remove Collection, [1] LazyStreamAggregate Multiset, [1] SplittingTree remove! BasicKeyedAccessFile DictionaryOperations, [1] ExtensibleLinearAggregate, [1] KeyedDictionary Multiset, [1] SplittingTree remove_denoms VectorIntegerReconstructor VectorModularReconstructor removeChild! Scene removeConstantTerm IntegrationTools removeCoshSq TranscendentalManipulations removeCosSq TranscendentalManipulations removeDuplicates Collection JLWSAggregate removeDuplicates! ExtensibleLinearAggregate MultiDictionary removeHandler! OperatorHandlers removeIrreducibleRedundantFactors PolynomialSetUtilitiesPackage removeRedundantFactors PolynomialSetUtilitiesPackage, [1], [2], [3], [4] removeRedundantFactorsInContents PolynomialSetUtilitiesPackage removeRedundantFactorsInPols PolynomialSetUtilitiesPackage removeRepeats! FlexibleArray IndexedFlexibleArray removeRoughlyRedundantFactorsInContents PolynomialSetUtilitiesPackage removeRoughlyRedundantFactorsInPol PolynomialSetUtilitiesPackage removeRoughlyRedundantFactorsInPols PolynomialSetUtilitiesPackage, [1] removeRowsColumns FreeDivisionAlgebra LinearMultivariateMatrixPencil removeSinhSq TranscendentalManipulations removeSinSq TranscendentalManipulations removeSquaresIfCan PolynomialSetUtilitiesPackage removeSuperfluousCases QuasiComponentPackage SquareFreeQuasiComponentPackage removeSuperfluousQuasiComponents QuasiComponentPackage SquareFreeQuasiComponentPackage removeZero TriangularSetCategory removeZeroes BalancedPAdicRational, [1] PAdicRational, [1] PAdicRationalConstructor, [1] UnivariateLaurentSeriesConstructorCategory, [1] removeZeros GeneralizedUnivariatePowerSeries rename RealClosedField rename! RealClosedField reopen! FileCategory reorder DistributedMultivariatePolynomial GeneralDistributedMultivariatePolynomial HomogeneousDistributedMultivariatePolynomial repack1 ModularAlgebraicGcdOperations repack_polys VectorModularReconstructor RepeatedDoubling double repeatedIndex JetBundleCategory RepeatedSquaring expt repeating Stream repeating? Stream repeatUntilLoop FortranCode replace JLWSExpression, [1] StringAggregate replaceAll JLWSExpression replaceAt JLWSExpression replaceDiffs ExpressionSolve replaceKthElement SetOfMIntegersInOneToN replacePart JLWSAggregate JLWSExpression replaceRepeated JLWSExpression representation FreeDivisionAlgebra RepresentationPackage1 antisymmetricTensors, [1] createGenericMatrix permutationRepresentation, [1], [2], [3] symmetricTensors, [1] tensorProduct, [1], [2], [3] RepresentationPackage2 areEquivalent?, [1], [2] completeEchelonBasis createRandomElement cyclicSubmodule isAbsolutelyIrreducible?, [1] meatAxe, [1], [2], [3] scanOneDimSubspaces split, [1] standardBasisOfCyclicSubmodule representationType FiniteFieldCategory represents FiniteRankAlgebra FiniteRankNonAssociativeAlgebra FramedModule FunctionFieldCategory repSq InnerNormalBasisFieldFunctions reseed RandomNumberSource reset ThreeDimensionalViewport TwoDimensionalViewport resetBadValues Pattern resetNew Symbol resetNewGreek MathematicalSymbols resetVariableOrder UserDefinedVariableOrdering reshape CartesianTensorFunctions2 residue JLWSExpression ResidueRing coerce lift reduce residueSum JLWSExpression resize ThreeDimensionalViewport TwoDimensionalViewport ResolveLatticeCompletion coerce, [1] rest FreeMagma FreeMonoid JLWSAggregate PoincareBirkhoffWittLyndonBasis TriangularSetCategory UnaryRecursiveAggregate, [1] Result showArrayValues showScalarValues result SplittingTree resultant JLWSExpression PolynomialCategory PseudoRemainderSequence RecursivePolynomialCategory U32VectorPolynomialOperations UnivariatePolynomialCategory resultantEuclidean PseudoRemainderSequence resultantReduit PseudoRemainderSequence resultantReduitEuclidean PseudoRemainderSequence resultantSet CylindricalAlgebraicDecompositionPackage retract AnyFunctions1 FortranExpression, [1], [2], [3], [4], [5], [6], [7] FortranFunctionCategory, [1], [2], [3], [4], [5] FortranMatrixFunctionCategory, [1], [2], [3], [4], [5] FortranVectorFunctionCategory, [1], [2], [3], [4], [5] InnerNMExactCalciumField JetBundleLinearFunction JetBundleXExpression JetDifferentialEquation JLWSExpression, [1] NMExactCalciumField RecursivePolynomialCategory, [1], [2] RetractableFrom RetractableTo retract_Q FunctionalSpecialFunction retractable? AntiSymm AnyFunctions1 DeRhamComplex FreeMagma LyndonWord PoincareBirkhoffWittLyndonBasis RetractableFrom retract retractIfCan RetractableTo retract retractIfCan retractIfCan AnyFunctions1 FortranExpression, [1], [2], [3], [4], [5], [6], [7] FortranFunctionCategory, [1], [2], [3], [4], [5] FortranMatrixFunctionCategory, [1], [2], [3], [4], [5] FortranVectorFunctionCategory, [1], [2], [3], [4], [5] InnerNMExactCalciumField, [1], [2], [3] JetBundleLinearFunction JetBundleXExpression JLWSExpression, [1], [2], [3] NMExactCalciumField, [1], [2], [3] NMRealField NormRetractPackage RecursivePolynomialCategory, [1], [2] RetractableFrom RetractableTo RetractSolvePackage solveRetract returns FortranCode, [1], [2], [3], [4], [5], [6] returnType! TheSymbolTable, [1], [2] returnTypeOf TheSymbolTable reverse CliffordAlgebra GaloisGroupPolynomialUtilities JLWSAggregate, [1], [2] LinearAggregate ListMonoidOps NMUnivariateLaurentPolynomial, [1] NMUnivariatePolynomial, [1] SegmentCategory reverse! DequeueAggregate LinearAggregate ListMonoidOps reverseLex OrderingFunctions revert StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries rewriteIdealWithHeadRemainder PolynomialSetCategory rewriteIdealWithQuasiMonicGenerators PolynomialSetUtilitiesPackage rewriteIdealWithRemainder PolynomialSetCategory RewriteRule elt lhs pattern quotedOperators rhs rule, [1] suchThat rewriteSetByReducingWithParticularGenerators PolynomialSetUtilitiesPackage rewriteSetWithReduction TriangularSetCategory RF2UTS UTSodetools Rho MathematicalSymbols rho MathematicalSymbols rhs Equation RewriteRule SuchThat ricDsolve RationalRicDE, [1], [2], [3], [4], [5], [6], [7] ridHack1 RandomIntegerDistributions riemannSiegelTheta JLWSExpression JLWSNumericalSpecialFunctions riemannSiegelZ JLWSExpression JLWSNumericalSpecialFunctions riemannZeta FloatSpecialFunctions FunctionalSpecialFunction JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 JLFloatSpecialFunctions2 JLWSExpression JLWSNumericalSpecialFunctions, [1] SpecialFunctionCategory riffle JLWSAggregate, [1] right BinaryRecursiveAggregate FreeMagma LyndonWord OutputForm, [1] RightOpenIntervalRootCharacterization right_ext_ext_GCD UnivariateSkewPolynomialCategory rightAlternative? FiniteRankNonAssociativeAlgebra rightCharacteristicPolynomial FiniteRankNonAssociativeAlgebra rightDiscriminant FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra rightDivide UnivariateSkewPolynomialCategory UnivariateSkewPolynomialCategoryOps rightExactQuotient UnivariateSkewPolynomialCategory rightExtendedGcd UnivariateSkewPolynomialCategory rightFactor FreeDivisionAlgebra rightFactorIfCan UnivariatePolynomialDecompositionPackage rightFamily FreeDivisionAlgebra rightGcd UnivariateSkewPolynomialCategory rightIdentity LinearMultivariateMatrixPencil rightLcm UnivariateSkewPolynomialCategory rightMinimalPolynomial FiniteRankNonAssociativeAlgebra rightMinimization FreeDivisionAlgebra RightModule * rightMult ListMonoidOps rightNorm FiniteRankNonAssociativeAlgebra rightOne Equation RightOpenIntervalRootCharacterization left middle mightHaveRoots refine relativeApprox right size rightPower Magma MagmaWithUnit rightQuotient UnivariateSkewPolynomialCategory rightRank AlgebraPackage rightRankPolynomial FramedNonAssociativeAlgebra GenericNonAssociativeAlgebra rightRecip FiniteRankNonAssociativeAlgebra MagmaWithUnit rightRegularRepresentation FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra rightRemainder UnivariateSkewPolynomialCategory rightScalarTimes! StorageEfficientMatrixOperations rightTrace FiniteRankNonAssociativeAlgebra rightTraceMatrix FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra rightTrim LinearAggregate StringAggregate rightUnit FiniteRankNonAssociativeAlgebra rightUnits FiniteRankNonAssociativeAlgebra GenericNonAssociativeAlgebra rightZero Equation Ring risch_de_ext ElementaryRischDEX2 rischNormalize ElementaryFunctionStructurePackage, [1], [2] RittWuCompare RecursivePolynomialCategory rk4 NumericalOrdinaryDifferentialEquations, [1] rk4a NumericalOrdinaryDifferentialEquations rk4f NumericalOrdinaryDifferentialEquations rk4qc NumericalOrdinaryDifferentialEquations, [1] rmap ElementaryFunctionStructurePackage Rng annihilate? roman RomanNumeral, [1] RomanNumeral convert roman, [1] romberg NumericalQuadrature rombergo NumericalQuadrature root OutputForm, [1] PAdicIntegerCategory root? SubSpace rootBound GaloisGroupFactorizationUtilities rootFactor AlgebraicManipulations RootFSSplit alg_split_root0 alg_split_roots rootKerSimp AlgebraicManipulations rootNormalize ElementaryFunctionStructurePackage rootOf AlgebraicallyClosedField, [1], [2] AlgebraicallyClosedFunctionSpace, [1] AlgebraicFunction RealClosedField, [1] RealRootCharacterizationCategory rootOfIrreduciblePoly FiniteFieldPolynomialPackage2 rootOfUnity NMAcbField NMAlgebraicNumber, [1] NMComplexBall NMComplexField, [1] rootOfUnity? NMAlgebraicNumber rootPoly ChangeOfVariable rootPower AlgebraicManipulations rootProduct AlgebraicManipulations rootRadius ComplexRootFindingPackage, [1] rootReduce JLWSExpression roots NMUnivariatePolynomial rootSimp AlgebraicManipulations RootSimplification rsimp rsimp1 rootsOf AlgebraicallyClosedField, [1], [2] AlgebraicallyClosedFunctionSpace, [1] rootSplit AlgebraicManipulations rootSum AlgebraicallyClosedFunctionSpace AlgebraicFunction RootUtilities complex_roots my_root3 my_sqrt quartic2 radical_solve rotate ThreeDimensionalViewport, [1] rotate! QueueAggregate rotatex DenavitHartenbergMatrix rotatey DenavitHartenbergMatrix rotatez DenavitHartenbergMatrix roughBase? PolynomialSetCategory roughBasicSet PolynomialSetUtilitiesPackage roughEqualIdeals? PolynomialSetCategory roughSubIdeal? PolynomialSetCategory roughUnitIdeal? PolynomialSetCategory round FloatElementaryFunctions JLWSExpression RealNumberSystem routeArrows FiniteGraph routeArrowWeight WeightedGraph routeNodes FiniteGraph routeNodeWeight WeightedGraph row JLWSMatrix RectangularMatrixCategory SparseEchelonMatrix TwoDimensionalArrayCategory row_operation_base InnerMatrixLinearAlgebraFunctions row_operation_modular InnerMatrixLinearAlgebraFunctions rowEch ModularHermitianRowReduction rowEchelon InnerMatrixLinearAlgebraFunctions InnerMatrixQuotientFieldFunctions MatrixCategory MatrixLinearAlgebraFunctions ModularHermitianRowReduction OrePolynomialMatrixOperations, [1] RectangularMatrixCategory SparseEchelonMatrix rowEchelonLocal ModularHermitianRowReduction rowEchLocal ModularHermitianRowReduction rowMatrix MatrixManipulation rows MatrixManipulation, [1] rowSlice TwoDimensionalArrayCategory rowSpan FreeDivisionAlgebra rquo FreeLieAlgebra FreeMonoid, [1] XFreeAlgebra, [1], [2] rroot PolynomialRoots rsimp RootSimplification rsimp1 RootSimplification rspace OutputForm rst LazyStreamAggregate rubiksGroup PermutationGroupExamples rule RewriteRule, [1] RuleCalled name rules Ruleset Ruleset elt rules ruleset ruleset Ruleset rur InternalRationalUnivariateRepresentationPackage RationalUnivariateRepresentationPackage, [1], [2]

S

S SKICombinators safeCeiling GaloisGroupUtilities safeFloor GaloisGroupUtilities safety GuessOption GuessOptionFunctions0 safetyMargin GaloisGroupUtilities, [1] sameFace? CubicalFacet OrientedFacet sample AbelianMonoid Aggregate CartesianTensor MagmaWithUnit Symbol samplePoint Cell SimpleCell SArgand coerce, [1] satisfy? PatternFunctions1, [1] PatternMatchResult saturate PolynomialIdeal, [1] save FortranCode say DisplayPackage, [1] sayLength DisplayPackage, [1] SBoundary boxBoundary coerce containsPoint? ellipseBoundary extendToPoint getCentre getMax getMin intersection isBox? isEllipse? isNull? lineIntersect link nullBoundary sunion union scalar? FreeDivisionAlgebra, [1] scalarMatrix MatrixCategory SquareMatrixCategory scalarTypeOf FortranType scale DenavitHartenbergMatrix MoebiusTransform, [1] TwoDimensionalViewport scaleALS FreeDivisionAlgebra scaleRoots GaloisGroupPolynomialUtilities scan DirectProductFunctions2 FiniteLinearAggregateFunctions2 FiniteSetAggregateFunctions2 JLFloat32VectorFunctions2 JLFloat64VectorFunctions2 JLVectorFunctions2 ListFunctions2 OneDimensionalArrayFunctions2 PrimitiveArrayFunctions2 StreamFunctions2 VectorFunctions2 ScanArabic NumberFormats ScanFloatIgnoreSpaces NumberFormats ScanFloatIgnoreSpacesIfCan NumberFormats ScanningUtilities parse_integer scanOneDimSubspaces RepresentationPackage2 ScanRoman NumberFormats SCartesian Scene addArrows2Din2D addChild! addPlot1Din2D, [1] addPlot1Din2Dparametric addPlot1Din3Dparametric, [1] addPlot2Din3D addPlot2Din3Dparametric, [1] addSceneArrow, [1] addSceneArrows addSceneBox addSceneClip addSceneDef addSceneGraph addSceneGrid, [1] addSceneGroup addSceneIFS, [1] addSceneLine, [1], [2] addSceneLines addSceneMaterial, [1] addSceneNamedPoints addScenePattern addSceneRuler addSceneShape, [1] addSceneText, [1], [2] addSceneTransform addSceneUse boundary coerce createArrows2Din2D createPlot1Din2D, [1] createPlot1Din2Dparametric createPlot1Din3Dparametric, [1] createPlot2Din3D, [1] createPlot2Din3Dparametric, [1] createSceneArrow, [1] createSceneArrows createSceneBox createSceneClip createSceneDef createSceneGraph createSceneGrid, [1] createSceneGroup createSceneIFS, [1] createSceneLine, [1], [2] createSceneLines createSceneMaterial, [1] createSceneNamedPoints createScenePattern createSceneRoot, [1], [2] createSceneRuler createSceneShape, [1] createSceneText, [1], [2] createSceneTransform createSceneUse removeChild! setTransform! toObj toSVG toX3D writeObj writeSvg writeSvgQuantised writeVRML writeX3d SceneIFS coerce curveLoops indexes pointList sierpinskiDivide singleFace smesh stube subdivide SceneNamedPoints addNode! addPoints! findNode findPoint getNames isNodeBranch? isNodeLeaf? isPointLeaf? namedBranch namedPoints, [1] toString schema PseudoRemainderSequence schur JLWSMatrix schwerpunkt ComplexRootFindingPackage SConformal normalisePoint screenCoords SPointCategory screenCoordX SPointCategory screenCoordY SPointCategory screenCoordZ SPointCategory screenResolution GraphicsDefaults, [1] Plot screenResolution3D Plot3D script Symbol, [1] scripted? Symbol scripts FormatterCategory OutputForm Symbol se2rfi ParametricLinearEquations search KeyedDictionary sec ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative TrigonometricFunctionCategory sec2cos TranscendentalManipulations secd JLComplexFloatSpecialFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions sech ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries HyperbolicFunctionCategory JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative sech2cosh TranscendentalManipulations sechIfCan PartialTranscendentalFunctions secIfCan PartialTranscendentalFunctions second Product UnaryRecursiveAggregate seed RandomNumberSource seedRandom Integer JLWSUtilityFunctions SEGMENT OutputForm, [1] SegmentCategory UniversalSegment Segment segment SegmentBinding SegmentCategory UniversalSegment SegmentBinding equation segment variable SegmentBindingFunctions2 map SegmentCategory +, [1] - BY convert high incr low reverse SEGMENT segment SegmentExpansionCategory expand, [1] map SegmentFunctions2 map, [1] select Collection InfiniteTuple LazyStreamAggregate TriangularSetCategory Tuple select! DictionaryOperations ExtensibleLinearAggregate selectAndPolynomials PolynomialSetUtilitiesPackage selectOrPolynomials PolynomialSetUtilitiesPackage selectPolynomials PolynomialSetUtilitiesPackage semicolonSeparate OutputForm semiDegreeSubResultantEuclidean PseudoRemainderSequence semiDiscriminantEuclidean PseudoRemainderSequence SemiGroup semiIndiceSubResultantEuclidean PseudoRemainderSequence semiLastSubResultantEuclidean PseudoRemainderSequence semiResultantEuclidean1 PseudoRemainderSequence semiResultantEuclidean2 PseudoRemainderSequence semiResultantReduitEuclidean PseudoRemainderSequence SemiRing SemiRng semiSubResultantGcdEuclidean1 PseudoRemainderSequence semiSubResultantGcdEuclidean2 PseudoRemainderSequence sendGraphImage GraphImage separant DifferentialPolynomialCategory separate LaurentPolynomial SubSpace UnivariatePolynomialCategory separate_factors GaloisGroupFactorizerSeparate Sequence sequence SequenceCategory, [1] SequenceCategory apply coerce cons dilate elt first firstn sequence, [1] stream SequenceFunctions2 map sequences PartitionsAndPermutations, [1] SequentialDifferentialPolynomial SequentialDifferentialVariable serialize FileSerialization series ExpressionToUnivariatePowerSeries, [1], [2], [3], [4] GenerateUnivariatePowerSeries, [1], [2], [3], [4], [5] GenerateUnivariatePowerSeries2, [1], [2], [3], [4], [5] InnerSparseUnivariatePowerSeries InnerTaylorSeries JLWSExpression SparseMultivariateTaylorSeries UnivariateLaurentSeriesCategory UnivariatePuiseuxSeriesCategory UnivariateTaylorSeriesCategory, [1] seriesSolve ExpressionSolve ExpressionSpaceODESolver, [1], [2], [3], [4], [5], [6], [7], [8], [9] TaylorSolve seriesToOutputForm InnerSparseUnivariatePowerSeries Set set SetAggregate, [1] set_output_mode Float setAdaptive Plot setAdaptive3D Plot3D SetAggregate difference, [1] intersect set, [1] subset? symmetricDifference union, [1], [2] setArr Poset SetCategory latex setchildren! RecursiveAggregate setClipValue DrawComplex setClosed TubePlot setColumn! TwoDimensionalArrayCategory setCondition! SplittingNode setDefault! Formatter setDialect TexFormat setDifference List setelt JLWSAggregate JLWSMatrix setelt! BinaryRecursiveAggregate, [1] EltableAggregate FreeDivisionAlgebra, [1] JLObjDict, [1] JLWSAggregate Library LinearAggregate LinearMultivariateMatrixPencil, [1] RecursiveAggregate Reference SparseEchelonMatrix TableAggregate ThreeDimensionalMatrix TwoDimensionalArrayCategory, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] UnaryRecursiveAggregate, [1], [2] setEmpty! SplittingNode setEpilogue! Formatter TexFormat setErrorBound ComplexRootFindingPackage setFieldInfo InnerNormalBasisFieldFunctions setfirst! UnaryRecursiveAggregate setFormat! Formatter JFriCASSupport setFormats! FormattedOutput JFriCASSupport setGcdMode SparseEchelonMatrix setHandler! OperatorHandlers setImagSteps DrawComplex setIntersection JLWSAggregate List setLabelValue FortranCode setlast! UnaryRecursiveAggregate setleaves! BalancedBinaryTree setleft! BinaryRecursiveAggregate setMaxPoints Plot setMaxPoints3D Plot3D setMinPoints Plot setMinPoints3D Plot3D setMode CliffordAlgebra setMult CubicalFacet setMult! OrientedFacet ProductFacet setnext! DoublyLinkedAggregate setNotation JetBundleCategory JetBundleFunctionCategory setOfMinN SetOfMIntegersInOneToN SetOfMIntegersInOneToN delta elements enumerate incrementKthElement member? replaceKthElement setOfMinN setOrder UserDefinedPartialOrdering, [1] setOutMode CartanKuranishi setPoly ModMonic setPosition CachableSet setPredicates Pattern setprevious! DoublyLinkedAggregate setPrologue! Formatter TexFormat setProperties BasicOperator setProperty BasicOperator setRealSteps DrawComplex setRedMode CartanKuranishi setref Reference setRefined! FreeDivisionAlgebra setrest! Stream UnaryRecursiveAggregate setright! BinaryRecursiveAggregate setRow! SparseEchelonMatrix, [1] TwoDimensionalArrayCategory setScreenResolution Plot setScreenResolution3D Plot3D setSimplifyDenomsFlag Expression setSimpMode CartanKuranishi JetDifferentialEquation setStatus QuasiAlgebraicSet setStatus! SplittingNode setsubMatrix! LinearMultivariateMatrixPencil TwoDimensionalArrayCategory setsubPencil! LinearMultivariateMatrixPencil setTex! TexFormat setTopPredicate Pattern setTransform! Scene setUnion List NMArbField NMRealBall NMRealField setValue! SplittingNode setvalue! RecursiveAggregate setVariableOrder UserDefinedVariableOrdering, [1] setVert Poset SExpression SExpressionCategory # atom? car cdr convert, [1], [2], [3], [4] destruct elt, [1] eq float float? integer integer? list? null? pair? string string? symbol symbol? SExpressionOf SFunction CycleIndicators sh XFreeAlgebra, [1] shade Palette PointPackage shallowCopy SubSpace shallowExpand FreeNilpotentLie shallowlyMutable shanksDiscLogAlgorithm DiscreteLogarithmPackage shellSort FiniteLinearAggregateSort Shi DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] LiouvillianFunction LiouvillianFunctionCategory shift Float IntegerNumberSystem MoebiusTransform, [1] NonNegativeInteger shift_mat! ModularFactorizationOperations ShiftAction FractionFreeFastGaussian ShiftC FractionFreeFastGaussian shiftHP Guess, [1] GuessAlgebraicNumber, [1] GuessFinite, [1] GuessInteger, [1] GuessPolynomial, [1] GuessPolynomialInteger, [1] shiftLeft ListPackage UnivariatePolynomialCategory shiftRight UnivariatePolynomialCategory shiftRoots GaloisGroupPolynomialUtilities show TwoDimensionalViewport showAll? Stream showAllElements Stream showArrayValues Result showClipRegion ThreeDimensionalViewport showElements Stream showFortranOutputStack FortranOutputStackPackage showRegion ThreeDimensionalViewport showScalarValues Result showTheSymbolTable TheSymbolTable showTypeInOutput Any shrinkable FlexibleArray IndexedFlexibleArray shuffle PartitionsAndPermutations shufflein PartitionsAndPermutations Si DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 LiouvillianFunction LiouvillianFunctionCategory siegelTheta JLWSExpression, [1] sierpinskiDivide SceneIFS Sigma MathematicalSymbols sigma MathematicalSymbols sign ElementaryFunctionSign, [1], [2] FunctionalSpecialFunction InnerNMExactCalciumField NMAlgebraicNumber NMExactCalciumField OrderedRing Permutation RationalFunctionSign, [1], [2] RealRootCharacterizationCategory SpecialFunctionCategory ToolsForSign signAround InnerPolySign, [1], [2] signedInfinity? InnerNMExactCalciumField NMExactCalciumField SimpleAlgebraicExtension SimpleCell allSimpleCells, [1] hasDimension? samplePoint variableOf simpleCells Cell SimpleFortranProgram fortran simplicialComplex FiniteSimplicialComplex, [1], [2] SimplicialComplexFactory band dunceHat kleinBottle line moebiusBand projectiveSpace sphereSolid sphereSurface torusSurface simplicialComplexIfCan FiniteSimplicialComplex, [1] simplicialJoin FiniteSimplicialComplex simplify GroupPresentation, [1] JetBundleFunctionCategory JetDifferentialEquation JLWSExpression, [1] QuasiAlgebraicSet SimplifyAlgebraicNumberConvertPackage TranscendentalManipulations SimplifyAlgebraicNumberConvertPackage simplify simplifyCoeffs PointsOfFiniteOrder simplifyExp TranscendentalManipulations simplifyLog TranscendentalManipulations simpMod JetBundleFunctionCategory, [1] simpOne JetBundleFunctionCategory simpson NumericalQuadrature simpsono NumericalQuadrature sin ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression FourierComponent InnerNMExactCalciumField JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions NMExactCalciumField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative TrigonometricFunctionCategory sin2csc TranscendentalManipulations sin? FourierComponent sinc JLComplexFloatSpecialFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions JLWSAPComplex JLWSAPReal JLWSComplex JLWSExpression JLWSReal sincos StreamTranscendentalFunctions sind JLComplexF64MatrixTranscendentalFunctions JLComplexFloatSpecialFunctions JLF64MatrixTranscendentalFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions singleFace SceneIFS singleFactorBound GaloisGroupFactorizationUtilities, [1] SingleInteger /\ \/ ~ And max min Not not Or qconvert xor SingletonAsOrderedSet convert create singRicDE PrimitiveRatRicDE RationalRicDE singular? FunctionFieldCategory, [1] singularAtInfinity? FunctionFieldCategory sinh ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression HyperbolicFunctionCategory JLComplexF64MatrixTranscendentalFunctions JLF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative sinh2csch TranscendentalManipulations sinhcosh StreamTranscendentalFunctions sinhIfCan PartialTranscendentalFunctions sinIfCan PartialTranscendentalFunctions sinpi JLComplexFloatSpecialFunctions JLFloat32SpecialFunctions JLFloat64SpecialFunctions JLFloatSpecialFunctions NMAlgebraicNumber sipnt SPointCategory, [1] sivec SPointCategory, [1] size Finite FreeGroup FreeMonoid ListMonoidOps RandomNumberSource RightOpenIntervalRootCharacterization size? Aggregate sizeLess? EuclideanDomain sizeMultiplication FiniteFieldFunctions FiniteFieldNormalBasis FiniteFieldNormalBasisExtension FiniteFieldNormalBasisExtensionByPolynomial sizePascalTriangle GaloisGroupUtilities skewPart JLFloat32Matrix JLFloat64Matrix skewSFunction CycleIndicators ski SKICombinators, [1] SKICombinators = atom? freeVariable? getChildren getVariable I isI? isK? isS? K parseSki parseTerm redux S ski, [1] toString variable? slash FormatterCategory OutputForm slex TableauxBumpers smaller? Comparable SmallOrdinal ^ integerPart limitPart omega omegapower ordinalAdd ordinalMul ordinalPower smesh SceneIFS smith IntegerSmithNormalForm, [1] SmithNormalForm SmithNormalForm completeHermite completeSmith diophantineSystem hermite smith sn2 FloatEllipticFunctions, [1] sncndn EllipticFunctionsUnivariateTaylorSeries solid SubSpaceComponentProperty solid? SubSpaceComponentProperty solutionVector FreeDivisionAlgebra, [1] SolvableSkewPolynomialCategory degree leadingCoefficient leadingMonomial monomial reductum solve ElementaryFunctionLODESolver, [1] ElementaryFunctionODESolver, [1], [2], [3], [4], [5], [6], [7] FloatingRealPackage, [1], [2], [3] JLCF32LinearAlgebra JLCF64LinearAlgebra JLF32LinearAlgebra JLF64LinearAlgebra JLWSExpression, [1], [2], [3], [4], [5] LinearSystemMatrixPackage, [1] LinearSystemMatrixPackage1, [1], [2], [3] NonLinearFirstOrderODESolver NonLinearSolvePackage, [1] OrePolynomialMatrixOperations PolynomialSolveByFormulas RealSolvePackage, [1] SystemODESolver, [1] SystemSolvePackage, [1], [2], [3], [4], [5], [6], [7] TransSolvePackage, [1], [2], [3], [4], [5], [6] solve! 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PolynomialSetCategory TriangularMatrixOperations LowTriBddDenomInv UpTriBddDenomInv TriangularSetCategory algebraic? algebraicVariables autoReduced? basicSet, [1] coHeight collectQuasiMonic degree extend extendIfCan first headReduce headReduced?, [1] infRittWu? initiallyReduce initiallyReduced?, [1] initials last normalized?, [1] quasiComponent reduce reduceByQuasiMonic reduced? removeZero rest rewriteSetWithReduction select stronglyReduce stronglyReduced?, [1] zeroSetSplit zeroSetSplitIntoTriangularSystems triangularSystems SystemSolvePackage triangulate SystemODESolver, [1], [2], [3] trigamma JLFloat32SpecialFunctions2 JLFloat64SpecialFunctions2 trigExpand JLWSExpression trigFactor JLWSExpression trigFactorList JLWSExpression TrigonometricFunctionCategory cos cot csc sec sin tan TrigonometricManipulations complexElementary, [1] complexForm complexNormalize, [1] imag real real? trigs TrigonometricManipulationsAux trigs2explogs trigReduce JLWSExpression trigs ComplexTrigonometricManipulations TrigonometricManipulations trigs2explogs InnerTrigonometricManipulations TrigonometricManipulationsAux trigToExp JLWSExpression tril JLF32LinearAlgebra JLF64LinearAlgebra tril! JLF32LinearAlgebra JLF64LinearAlgebra trim LinearAggregate NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField StringAggregate trim_mat! ModularFactorizationOperations triu JLF32LinearAlgebra JLF64LinearAlgebra triu! JLF32LinearAlgebra JLF64LinearAlgebra trivialIdeal? PolynomialSetCategory true Logic trueEqual AlgebraicNumber trunc FreeLieAlgebra XPolynomialsCat truncate NMUnivariateLaurentPolynomial NMUnivariatePolynomial RealNumberSystem UnivariatePowerSeriesCategory, [1] truncated_mul_add U32VectorPolynomialOperations truncated_mul_add2 U32VectorPolynomialOperations truncated_multiplication U32VectorPolynomialOperations try_real RealNormalizationUtilities tryFunctionalDecomposition GaloisGroupFactorizer tryFunctionalDecomposition? GaloisGroupFactorizer tryTwoFactor TwoFactorize tube NumericTubePlot TubePlot TubePlot closed? getCurve listLoops open? setClosed tube tubePlot ExpressionTubePlot, [1], [2], [3] TubePlotTools * + - cosSinInfo cross dot loopPoints point unitVector tubePoints DrawOption DrawOptionFunctions0 tubePointsDefault ViewDefaultsPackage, [1] tubeRadius DrawOption DrawOptionFunctions0 tubeRadiusDefault ViewDefaultsPackage, [1] Tuple # coerce select tValues Plot3D twist MappingPackage3 TwoDimensionalArray TwoDimensionalArrayCategory array2 blockConcat blockSplit, [1] colSlice column elt, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12] fill! horizConcat, [1] horizSplit, [1] listOfLists map, [1], [2] map! maxColIndex maxRowIndex minColIndex minRowIndex ncols new nrows parts qelt qnew qsetelt! row rowSlice setColumn! setelt!, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] setRow! setsubMatrix! squareTop subMatrix swapColumns! swapRows! transpose vertConcat, [1] vertSplit, [1] TwoDimensionalArrayFunctions map TwoDimensionalPlotClipping clip, [1], [2], [3] clipParametric, [1] clipWithRanges TwoDimensionalViewport axes, [1] close coerce connect controlPanel dimensions getGraph getPickedPoints graphs graphState graphStates key makeViewport2D, [1] move options, [1] points putGraph region reset resize scale show title translate units, [1] update viewport2D write, [1], [2] TwoFactorize doFactor generalTwoFactor tryTwoFactor TwoSidedRecip Type type JetBundleCategory Typed typeList SymbolTable typeLists SymbolTable

U

U JetBundleCategory, [1] JetBundleFunctionCategory, [1] U16Matrix U16Vector U32Matrix U32Vector U32VectorPolynomialOperations copy_first copy_slice degree differentiate, [1] divide! eval_at extended_gcd gcd, [1] lcm mul mul_by_binomial, [1] mul_by_scalar pa_to_sup pow remainder! resultant to_mod_pa truncated_mul_add truncated_mul_add2 truncated_multiplication vector_add_mul vector_combination U64Int qconvert U8Matrix U8Vector ucodeToString String uentries String unary? BasicOperator unaryFunction MakeUnaryCompiledFunction UnaryRecursiveAggregate concat, [1] concat!, [1], [2] cycleEntry cycleLength cycleSplit! cycleTail elt, [1], [2] first, [1] last, [1] qsetfirst! qsetrest! rest, [1] second setelt!, [1], [2] setfirst! setlast! setrest! split! tail third unbind Lambda uncouplingMatrices AssociatedEquations undefined InnerNMExactCalciumField NMExactCalciumField undefined? InnerNMExactCalciumField NMExactCalciumField underscore Character UndirectedGraph * cartesian closedCartesian closedTensor coerce diagramSvg2 undirectedGraph, [1], [2], [3], [4], [5] undirectedGraph UndirectedGraph, [1], [2], [3], [4], [5] unexpand XPolynomial XRecursivePolynomial uniform RandomDistributions RandomFloatDistributions RandomIntegerDistributions uniform01 RandomFloatDistributions union IntegrationTools JLWSAggregate PatternMatchResult SBoundary SetAggregate, [1], [2] UniqueFactorizationDomain factor prime? squareFree squareFreePart uniqueInteger NMAcbField NMArbField NMComplexBall NMComplexField NMRealBall NMRealField unit DrawOption Factored FiniteGraph FiniteRankNonAssociativeAlgebra NMFactored NMUnivariateLaurentPolynomial unit? EntireRing NMMultivariateLaurentPolynomial NMMultivariatePolynomial NMUnivariateLaurentPolynomial NMUnivariatePolynomial unitCanonical EntireRing UnitGaussianElimination pre_gauss pre_lr pre_smith unitNormal EntireRing unitNormalize Factored unitPart IntegerLocalizedAtPrime units DrawOptionFunctions0 GraphImage, [1] TwoDimensionalViewport, [1] unitsColorDefault ViewDefaultsPackage, [1] unitsKnown unitStep FunctionalSpecialFunction SpecialFunctionCategory Unittest testComplexEquals testEquals testLibraryError testNotEquals testRealEquals testTrue xftestComplexEquals xftestEquals xftestLibraryError xftestNotEquals xftestRealEquals xftestTrue UnittestAux testAbsolutePrecision testComplexEqualsAux testEqualsAux testEqualsAuxCmp testLibraryErrorAux testNotEqualsAux testRealEqualsAux testRelativePrecision testTrueAux xftestComplexEqualsAux xftestEqualsAux xftestLibraryErrorAux xftestNotEqualsAux xftestRealEqualsAux xftestTrueAux UnittestCount addWarning incFail incFatal incLibraryError incPass incTest incXfFail incXfFatal incXfLibraryError incXfPass statistics testcase testcaseNoClear testsuite testsuiteNoClear unitVector DirectProductCategory GeneralModulePolynomial SPointCategory TubePlotTools univariate FunctionSpace2 GenusZeroIntegration NMUnivariateLaurentPolynomial PolynomialCategory, [1] PolynomialCategoryQuotientFunctions, [1] PolynomialToUnivariatePolynomial RationalFunction univariate? NMMultivariatePolynomial PolynomialSetUtilitiesPackage UnivariateFiniteFieldFactorize factor factorSquareFree irreducible? su_irreducible? sufactor sufactor_square_free UnivariateFormalPowerSeries coerce, [1] differentiate evenlambert generalLambert integrate invmultisect lagrange lambert multisect oddlambert revert univariatePolynomial UnivariateFormalPowerSeriesFunctions hadamard UnivariateLaurentSeries coerce differentiate integrate UnivariateLaurentSeriesCategory laurent multiplyCoefficients rationalFunction, [1] series UnivariateLaurentSeriesConstructor UnivariateLaurentSeriesConstructorCategory coerce degree laurent removeZeroes, [1] taylor taylorIfCan taylorRep UnivariateLaurentSeriesFunctions2 map UnivariatePolynomial coerce univariatePolynomial SparseUnivariateTaylorSeries UnivariateFormalPowerSeries UnivariateTaylorSeries UnivariatePolynomialCategory composite, [1] differentiate discriminant divideExponents elt, [1] integrate karatsubaDivide makeSUP monicDivide multiplyExponents order pseudoDivide pseudoQuotient pseudoRemainder resultant separate shiftLeft shiftRight subResultantGcd unmakeSUP unvectorise vectorise

UnivariatePolynomialCategoryFunctions2 map UnivariatePolynomialCommonDenominator clearDenominator commonDenominator splitDenominator UnivariatePolynomialDecompositionPackage completeDecompose decomposeIfCan leftFactorIfCan monicCompleteDecompose monicDecomposeIfCan monicRightFactorIfCan rightFactorIfCan UnivariatePolynomialDivisionPackage divideIfCan UnivariatePolynomialFunctions2 map UnivariatePolynomialMultiplicationPackage karatsuba karatsubaOnce noKaratsuba univariatePolynomials PolynomialSetUtilitiesPackage univariatePolynomialsGcds PolynomialSetUtilitiesPackage, [1] UnivariatePolynomialSquareFree BumInSepFFE squareFree squareFreePart UnivariatePowerSeriesCategory approximate center elt eval extend multiplyExponents order, [1] terms truncate, [1] variable UnivariatePuiseuxSeries coerce differentiate integrate UnivariatePuiseuxSeriesCategory multiplyExponents series UnivariatePuiseuxSeriesConstructor UnivariatePuiseuxSeriesConstructorCategory coerce degree laurent laurentIfCan laurentRep puiseux rationalPower UnivariatePuiseuxSeriesFunctions2 map UnivariatePuiseuxSeriesWithExponentialSingularity dominantTerm limitPlus UnivariateSeriesWithRationalExponents integrate, [1] UnivariateSkewPolynomial coerce UnivariateSkewPolynomialCategory apply exquo leftDivide leftExactQuotient leftExtendedGcd leftGcd leftLcm leftQuotient leftRemainder monicLeftDivide monicRightDivide right_ext_ext_GCD rightDivide rightExactQuotient rightExtendedGcd rightGcd rightLcm rightQuotient rightRemainder UnivariateSkewPolynomialCategoryOps apply leftDivide monicLeftDivide monicRightDivide rightDivide times univariateSolve ZeroDimensionalSolvePackage, [1], [2], [3], [4] UnivariateTaylorSeries coerce, [1] differentiate evenlambert generalLambert integrate invmultisect lagrange lambert multisect oddlambert revert univariatePolynomial UnivariateTaylorSeriesCategory ^ coefficients multiplyCoefficients polynomial, [1] quoByVar series, [1] UnivariateTaylorSeriesFunctions2 map UnivariateTaylorSeriesODESolver fixedPointExquo mpsode ode ode1 ode2 stFunc1 stFunc2 stFuncN univcase MultivariateSquareFree UniversalSegment coerce hasHi SEGMENT segment UniversalSegmentFunctions2 map, [1] universe FiniteSetAggregate unkextint ParametricTranscendentalIntegration unknown InnerNMExactCalciumField NMExactCalciumField unknown? InnerNMExactCalciumField NMExactCalciumField unmakeSUP UnivariatePolynomialCategory unpack_poly ModularHermitePade unparse InputForm unprotectedRemoveRedundantFactors PolynomialSetUtilitiesPackage unrankImproperPartitions0 SymmetricGroupCombinatoricFunctions unrankImproperPartitions1 SymmetricGroupCombinatoricFunctions unravel CartesianTensor unsignedInfinity? InnerNMExactCalciumField NMExactCalciumField untab TableauxBumpers Untyped UnVectorise ModMonic unvectorise TransSolvePackageService UnivariatePolynomialCategory UP2UTS UTSodetools updatD GroebnerInternalPackage update TwoDimensionalViewport update! HashState upDateBranches RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage updateStatus! SplittingTree updatF GroebnerInternalPackage upperCase Character CharacterClass StringAggregate upperCase! StringAggregate upperCase? Character upperSet Poset uppertriangular? LinearMultivariateMatrixPencil Upsilon MathematicalSymbols upsilon MathematicalSymbols UpTriBddDenomInv TriangularMatrixOperations urand JLFloat32Matrix JLFloat32Vector JLFloat64Matrix JLFloat64Vector urand01 JLComplexF32Matrix JLComplexF32Vector JLComplexF64Matrix JLComplexF64Vector JLComplexFloat JLFloat JLFloat32Matrix JLFloat32Vector JLFloat64Matrix JLFloat64Vector JLMachineFloat JLMatrix, [1] JLVector, [1] JLWSAPComplex JLWSAPReal JLWSComplex JLWSReal NMArbField NMRealBall NMRealField urand01Complex JLWSUtilityFunctions, [1] urand01Real JLWSUtilityFunctions, [1] useEisensteinCriterion GaloisGroupFactorizer useEisensteinCriterion? GaloisGroupFactorizer UserDefinedPartialOrdering getOrder largest, [1] less?, [1] more? setOrder, [1] userOrdered? UserDefinedVariableOrdering getVariableOrder resetVariableOrder setVariableOrder, [1] userOrdered? UserDefinedPartialOrdering useSingleFactorBound GaloisGroupFactorizer useSingleFactorBound? GaloisGroupFactorizer usingTable? TabulatedComputationPackage UTS2UP UTSodetools UTSodetools LODO2FUN RF2UTS UP2UTS UTS2UP

V

validate ChainComplex CoChainComplex validExponential ElementaryFunctionStructurePackage valuation ExtendedNMPadicInteger NMPadicInteger value HashState ILogic LatticeJoinOfMeets LatticeMeetOfJoins OrdSetInts QueryEquation RecursiveAggregate SplittingNode values JLWSExpression RecurrenceOperator, [1] vandermondeMatrix JLWSUtilityFunctions, [1] var VarCat, [1] var1Steps DrawOption DrawOptionFunctions0 var1StepsDefault ViewDefaultsPackage, [1] var2Steps DrawOption DrawOptionFunctions0 var2StepsDefault ViewDefaultsPackage, [1] VarCat = getName getType parseVar parseVarTerm toString var, [1] Variable coerce variable variable DifferentialVariableCategory LatticeJoinOfMeets LatticeMeetOfJoins OrderedVariableList QueryEquation SegmentBinding UnivariatePowerSeriesCategory Variable variable? SKICombinators variableIndex NMMultivariateLaurentPolynomial variableName GuessOption GuessOptionFunctions0 variableOf SimpleCell variables FactoringUtilities FortranExpression FreeDivisionAlgebra FunctionSpace2, [1] JetBundleCategory, [1] JLWSExpression MaybeSkewPolynomialCategory Pattern PolynomialCategoryQuotientFunctions PolynomialSetCategory RationalFunction VariablesCommuteWithCoefficients variablesOf Cell variationOfParameters ODETools vark IntegrationTools varList FreeLieAlgebra FreeMagma FreeMonoid LieExponentials LyndonWord PoincareBirkhoffWittLyndonBasis XFreeAlgebra varselect IntegrationTools vconcat FormatterCategory OutputBox, [1] OutputForm, [1] Vector vector vector ComplexDoubleFloatVector FreeDivisionAlgebra, [1] JLComplexF32Vector JLComplexF64Vector JLFloat32Vector JLFloat64Vector JLInt64Vector JLVector JLWSVector Vector vector_add_mul U32VectorPolynomialOperations vector_combination U32VectorPolynomialOperations VectorCategory *, [1], [2] + -, [1] cross dot length outerProduct zero zero?

VectorFunctions2 map, [1] reduce scan VectorHermitePadeSolver hp_solve VectorIntegerReconstructor chinese_update empty hensel_update rational_reconstruction, [1] reconstruct remove_denoms Vectorise ModMonic vectorise UnivariatePolynomialCategory VectorModularReconstructor add_slots chinese_update empty rational_reconstruction, [1] reconstruct, [1] remove_denoms repack_polys VectorPolynomialOperationsF degree pa_to_sup to_mod_pa VectorPolynomialOperationsP degree pa_to_sup to_mod_pa VectorSpaceBasis * + 0 basis canonicalBasis coerce columnSpace complementSpace, [1], [2], [3] coordinates coordinatesIfCan intBasis, [1], [2], [3] isBasis? member? nullSpace rank, [1] subspace? sumBasis, [1], [2], [3] vertConcat TwoDimensionalArrayCategory, [1] vertSplit TwoDimensionalArrayCategory, [1] viewDefaults ViewDefaultsPackage ViewDefaultsPackage axesColorDefault, [1] lineColorDefault, [1] pointColorDefault, [1] pointSizeDefault, [1] tubePointsDefault, [1] tubeRadiusDefault, [1] unitsColorDefault, [1] var1StepsDefault, [1] var2StepsDefault, [1] viewDefaults viewPosDefault, [1] viewSizeDefault, [1] viewWriteAvailable viewWriteDefault, [1] viewDeltaXDefault ThreeDimensionalViewport, [1] viewDeltaYDefault ThreeDimensionalViewport, [1] viewPhiDefault ThreeDimensionalViewport, [1] viewpoint DrawOption DrawOptionFunctions0 ThreeDimensionalViewport, [1], [2], [3], [4], [5] viewport2D TwoDimensionalViewport viewport3D ThreeDimensionalViewport ViewportPackage coerce drawCurves, [1] graphCurves, [1], [2] viewPosDefault ViewDefaultsPackage, [1] viewSizeDefault ViewDefaultsPackage, [1] viewThetaDefault ThreeDimensionalViewport, [1] viewWriteAvailable ViewDefaultsPackage viewWriteDefault ViewDefaultsPackage, [1] viewZoomDefault ThreeDimensionalViewport, [1] virtualDegree GroebnerInternalPackage NGroebnerPackage Void coerce void void Void vspace OutputForm VSUPI_to_VPA ModularHermitePade VSUPPI_to_VPA ModularHermitePade VSUPS_to_VPA ModularHermitePadeSolver

W

WComplex JLWSSymbol weakBiRank AlgebraPackage weberE FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrass WeierstrassPreparation weierstrassHalfPeriods FloatEllipticFunctions weierstrassInvariants FloatEllipticFunctions weierstrassP FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassP0 SpecialFunctionUnivariateTaylorSeries weierstrassPInverse FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassPPrime FloatEllipticFunctions, [1] FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassPPrime0 SpecialFunctionUnivariateTaylorSeries WeierstrassPreparation weierstrass weierstrassSigma FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassSigma0 SpecialFunctionUnivariateTaylorSeries weierstrassZeta FunctionalSpecialFunction JLWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassZeta0 SpecialFunctionUnivariateTaylorSeries weight BasicOperator, [1] DifferentialPolynomialCategory, [1] DifferentialVariableCategory JetBundleCategory weighted RandomDistributions weightedDistanceMatrix WeightedGraph WeightedGraph * addWArrow! cartesian closedCartesian closedTensor coerce distanceWeighted routeArrowWeight routeNodeWeight weightedDistanceMatrix weightedGraph, [1], [2], [3], [4], [5], [6] weightedGraph WeightedGraph, [1], [2], [3], [4], [5], [6] WeightedPolynomials / changeWeightLevel coerce, [1] weights DifferentialPolynomialCategory, [1] WFalse JLWSSymbol whatInfinity OrderedCompletion whileLoop FortranCode whittakerM FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory whittakerW FunctionalSpecialFunction JLWSExpression JLWSNumericalSpecialFunctions SpecialFunctionCategory

wholePart ContinuedFraction PartialFraction QuotientFieldCategory RealNumberSystem wholeRadix RadixExpansion wholeRagits RadixExpansion width IntervalCategory OutputBox wignerDistribution DistributionPackage WildFunctionFieldIntegralBasis integralBasis localIntegralBasis wilsonW FunctionalSpecialFunction SpecialFunctionCategory WInteger JLWSSymbol withPredicates Pattern WList JLWSSymbol WMissing JLWSSymbol wordInGenerators PermutationGroup wordInStrongGenerators PermutationGroup wordsForStrongGenerators PermutationGroup WRational JLWSSymbol WReal JLWSSymbol wreath CycleIndicators writable? FileNameCategory write ThreeDimensionalViewport, [1], [2] TwoDimensionalViewport, [1], [2] write! BasicFile BasicKeyedAccessFile FileCategory writeCategory compCode writeLine! TextFile, [1] writeObj Export3D Scene writePackage compCode writeSvg Scene writeSvgQuantised Scene writeVRML ExportXml Scene writeX3d Scene writeXml ExportXml wronskianMatrix ODETools, [1] wrregime ParametricLinearEquations WRule JLWSSymbol WString JLWSSymbol WSymbol JLWSSymbol WTrue JLWSSymbol WuWenTsunTriangularSet characteristicSerie, [1] characteristicSet, [1] medialSet, [1]

X

X JetBundleCategory, [1] JetBundleFunctionCategory, [1] XAlgebra coerce xCoord PointPackage XDistributedPolynomial XDistributedPolynomialFunctions display findNonZeroEntry hankelIndices hankelMatrix, [1] hankelSystem minimalMatrix minimalRepresentation transformationMatrices XExponentialPackage exp Hausdorff log xform STransform XFreeAlgebra *, [1] coef, [1] coerce constant constant? lquo, [1], [2] map mindeg mindegTerm mirror monomial monomial? quasiRegular quasiRegular? rquo, [1], [2] sh, [1] varList xftestComplexEquals Unittest xftestComplexEqualsAux UnittestAux xftestEquals Unittest xftestEqualsAux UnittestAux xftestLibraryError Unittest xftestLibraryErrorAux UnittestAux xftestNotEquals Unittest xftestNotEqualsAux UnittestAux xftestRealEquals Unittest xftestRealEqualsAux UnittestAux xftestTrue Unittest xftestTrueAux UnittestAux

XHashTable table Xi MathematicalSymbols xi MathematicalSymbols XmlAttribute coerce outputVRML xmlAttribute, [1] xmlAttribute XmlAttribute, [1] XmlElement coerce empty? outputVRML xmlElement, [1] xmlElement XmlElement, [1] xn InnerNormalBasisFieldFunctions xor BitAggregate Boolean SingleInteger XPBWPolynomial coerce, [1], [2] exp LiePolyIfCan log product XPolynomial expand RemainderList unexpand XPolynomialFactor factor homo_fact ldivide left_ext_GCD top_split XPolynomialRing # * / coef coerce constant constant? map maxdeg mindeg quasiRegular quasiRegular? reductum XPolynomialsCat degree maxdeg trunc xRange PlottablePlaneCurveCategory PlottableSpaceCurveCategory XRecursivePolynomial expand RemainderList unexpand

Y

Y ParadoxicalCombinatorsForStreams, [1] yCoord PointPackage yCoordinates FunctionFieldCategory

yellow Color youngGroup PermutationGroupExamples, [1] yRange PlottablePlaneCurveCategory PlottableSpaceCurveCategory

Z

zag FormatterCategory OutputForm zCoord PointPackage zernikeR JLWSExpression JLWSNumericalSpecialFunctions zero MatrixCategory VectorCategory zero? AbelianMonoid FreeDivisionAlgebra JLWSExpression LinearMultivariateMatrixPencil MatrixCategory ModularAlgebraicGcdOperations PolynomialIdeal RealRootCharacterizationCategory VectorCategory zeroDim? PolynomialIdeal, [1] zeroDimensional? FGLMIfCanPackage LexTriangularPackage ZeroDimensionalSolvePackage convert, [1], [2], [3], [4] positiveSolve, [1], [2], [3] realSolve, [1], [2], [3], [4] squareFree triangSolve, [1], [2] univariateSolve, [1], [2], [3], [4] zeroDimPrimary? IdealDecompositionPackage zeroDimPrime? IdealDecompositionPackage

zeroMatrix FortranCodePackage1, [1] JLWSUtilityFunctions ThreeDimensionalMatrix zeroOf AlgebraicallyClosedField, [1], [2] AlgebraicallyClosedFunctionSpace, [1] zeroSetSplit LazardSetSolvingPackage LexTriangularPackage, [1] RegularChain RegularTriangularSet, [1] RegularTriangularSetCategory SquareFreeRegularTriangularSet, [1] TriangularSetCategory zeroSetSplitIntoTriangularSystems TriangularSetCategory zerosOf AlgebraicallyClosedField, [1], [2] AlgebraicallyClosedFunctionSpace, [1] zeroSquareMatrix FortranCodePackage1 zeroVector FortranCodePackage1 Zeta MathematicalSymbols zeta DirichletRing MathematicalSymbols zetaMatrix Poset zoom Plot, [1] Plot3D ThreeDimensionalViewport, [1] zRange PlottableSpaceCurveCategory