Index

Symbols

# Aggregate JuliaWSAggregate SExpressionCategory Tuple XPolynomialRing * AbelianGroup AbelianMonoid AbelianSemiGroup CartesianTensor Color, [1] DenavitHartenbergMatrix DirectedGraph DirectProductCategory, [1] Equation, [1] FreeDivisionAlgebra, [1] FreeGroup, [1] FreeMagma FreeModule, [1] FreeMonoid, [1] FunctionGraph GeneralModulePolynomial GradedModule, [1] IncidenceAlgebra, [1], [2], [3] InnerNemoExactComplexField InnerNormalBasisFieldFunctions InnerTaylorSeries, [1], [2] InputForm JetLazyFunction JuliaComplexFloat JuliaFloat JuliaObjComplexF64 JuliaObjFloat64 JuliaWSAPComplex JuliaWSComplex JuliaWSMatrix, [1], [2], [3], [4], [5] JuliaWSVector, [1], [2] LeftModule LinearMultivariateMatrixPencil, [1] Magma MappingPackage3 MatrixCategory, [1], [2], [3], [4], [5] MultifunctionGraph NemoAcbField NemoAlgebraicNumber NemoArbField NemoComplexBall NemoComplexField NemoExactComplexField NemoFiniteField, [1], [2] NemoInteger NemoIntegerMod, [1], [2], [3] NemoMultivariatePolynomial, [1], [2], [3] NemoPrimeField, [1], [2], [3] NemoRational NemoRealBall NemoRealField NemoUnivariatePolynomial, [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] FiniteGraph FreeDivisionAlgebra, [1] FullPartialFractionExpansion GradedModule IncidenceAlgebra InputForm JuliaWSMatrix JuliaWSVector MatrixCategory NemoMultivariatePolynomial, [1] NemoUnivariatePolynomial, [1] OrderedCompletion OutputForm Pattern PolynomialIdeal SegmentCategory, [1] SPointCategory StreamTaylorSeriesOperations TubePlotTools VectorCategory VectorSpaceBasis - AbelianGroup, [1] CardinalNumber Database Equation, [1] FreeDivisionAlgebra, [1] GradedModule, [1] JuliaWSMatrix, [1] JuliaWSVector, [1] MatrixCategory, [1] OrderedCompletion OutputForm, [1] SegmentCategory SPointCategory StreamTaylorSeriesOperations, [1] TubePlotTools VectorCategory, [1] / AbelianMonoidRing Equation ExtensionField Field FloatingPointSystem FreeDivisionAlgebra, [1], [2] FunctionSpace2 Group InnerNemoExactComplexField, [1] InnerNormalBasisFieldFunctions InputForm JuliaComplexFloat, [1] JuliaFloat JuliaObjComplexF64, [1] JuliaObjFloat64, [1] JuliaWSInteger LieAlgebra LocalAlgebra, [1] Localize, [1] MatrixCategory NemoAcbField NemoArbField NemoComplexBall NemoComplexField, [1] NemoExactComplexField, [1] NemoRealBall NemoRealField 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] JuliaFloat JuliaWSExpression JuliaWSMatrix, [1] Magma MagmaWithUnit MappingPackage1 MatrixCategory, [1] ModuleOperator NemoAlgebraicNumber 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 NemoAlgebraicNumber OctonionCategory OrderedRing QuaternionCategory SpecialFunctionCategory abs2 NemoAlgebraicNumber absolute? NemoFiniteField absolutelyIrreducible? FunctionFieldCategory absoluteNorm NemoFiniteField absoluteTrace NemoFiniteField accumulate JuliaWSAggregate accuracyBits NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField acos ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression InnerNemoExactComplexField JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions NemoExactComplexField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acosd JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions acosh ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acoshIfCan PartialTranscendentalFunctions acosIfCan PartialTranscendentalFunctions acospi NemoAlgebraicNumber acot ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acotd JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions acoth ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acothIfCan PartialTranscendentalFunctions acotIfCan PartialTranscendentalFunctions acsc ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative acscd JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions acsch ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions 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! NemoArbField NemoRealBall NemoRealField 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 JuliaComplexF32Matrix JuliaComplexF64Matrix JuliaWSMatrix LinearOrdinaryDifferentialOperatorCategory MatrixLinearAlgebraFunctions ModuleOperator, [1] Operator, [1] PartialDifferentialOperator adjoint! JuliaComplexF32Matrix JuliaComplexF64Matrix adjugate JuliaWSMatrix admissibleLinearSystem FreeDivisionAlgebra Aggregate # copy empty empty? eq? less? more? sample size? airyAi DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory airyAiPrime DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory airyAiPrimex JuliaFloat64SpecialFunctions2 airyAix JuliaFloat64SpecialFunctions2 airyBi DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory airyBiPrime DoubleFloatSpecialFunctions2, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory airyBiPrimex JuliaFloat64SpecialFunctions2 airyBix JuliaFloat64SpecialFunctions2 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 InnerNemoExactComplexField NemoExactComplexField 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? NemoAlgebraicNumber 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 JuliaWSNumericalSpecialFunctions 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? JuliaWSMatrix MatrixCategory RectangularMatrixCategory antisymmetricTensors RepresentationPackage1, [1] Any any dom domainOf obj objectOf showTypeInOutput any Any any? HomogeneousAggregate AnyFunctions1 coerce retract retractable? retractIfCan apart JuliaWSExpression, [1] append JuliaWSAggregate 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 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 JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asecd JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions asech ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asechIfCan PartialTranscendentalFunctions asecIfCan PartialTranscendentalFunctions asimpson NumericalQuadrature asin ArcTrigonometricFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression InnerNemoExactComplexField JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions NemoExactComplexField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asind JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions asinh ArcHyperbolicFunctionCategory ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative asinhIfCan PartialTranscendentalFunctions asinIfCan PartialTranscendentalFunctions asinpi NemoAlgebraicNumber 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 InnerNemoExactComplexField JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloat, [1] JuliaF64MatrixTranscendentalFunctions JuliaFloat JuliaFloat32 JuliaFloat64 JuliaWSAPComplex JuliaWSAPReal JuliaWSComplex JuliaWSExpression JuliaWSReal NemoArbField NemoExactComplexField NemoRealBall NemoRealField StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative atan1 FunctionSpaceToUnivariatePowerSeries2 atand JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions, [1] JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions, [1] JuliaFloatSpecialFunctions, [1] atanh ArcHyperbolicFunctionCategory DoubleFloatElementaryFunctions ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative atanhIfCan PartialTranscendentalFunctions atanIfCan PartialTranscendentalFunctions atanpi NemoAlgebraicNumber 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions base FloatingPointSystem IntegerNumberSystem MachineFloat, [1] PermutationGroup 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 JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory besselIx JuliaFloat64SpecialFunctions2 besselJ DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory besselJ0 JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 besselJ1 JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 besselJx JuliaFloat64SpecialFunctions2 besselK DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory besselKx JuliaFloat64SpecialFunctions2 besselY DoubleFloatSpecialFunctions, [1] FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory besselY0 JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 besselY1 JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 besselYx JuliaFloat64SpecialFunctions2 Beta DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] FunctionalSpecialFunction, [1] JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 JuliaWSNumericalSpecialFunctions, [1] MathematicalSymbols RandomFloatDistributions SpecialFunctionCategory, [1] beta MathematicalSymbols BetaRegularized JuliaWSExpression JuliaWSNumericalSpecialFunctions 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] NemoAcbField NemoArbField NemoComplexBall NemoRealBall 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 JuliaWSExpression, [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 JuliaFloat32 JuliaFloat64 JuliaWSExpression cAtan InnerSparseUnivariatePowerSeries cAtanh InnerSparseUnivariatePowerSeries cCos InnerSparseUnivariatePowerSeries cCosh InnerSparseUnivariatePowerSeries cCot InnerSparseUnivariatePowerSeries cCoth InnerSparseUnivariatePowerSeries cCsc InnerSparseUnivariatePowerSeries cCsch InnerSparseUnivariatePowerSeries cdr SExpressionCategory ceiling FunctionalSpecialFunction InnerNemoExactComplexField JuliaWSExpression NemoAlgebraicNumber NemoExactComplexField 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_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? FortranScalarType CharacterClass alphabetic alphanumeric charClass, [1] digit hexDigit lowerCase upperCase characteristic NonAssociativeRing CharacteristicNonZero charthRoot characteristicPolynomial CharacteristicPolynomialInMonogenicalAlgebra CharacteristicPolynomialPackage EigenPackage, [1] FiniteRankAlgebra InnerEigenPackage NumericComplexEigenPackage, [1] NumericRealEigenPackage, [1] CharacteristicPolynomial2 char_pol danilewski CharacteristicPolynomial3 char_pol_via_den_interpolation char_pol_via_interpolation det_via_common_denominator CharacteristicPolynomialInMonogenicalAlgebra characteristicPolynomial CharacteristicPolynomialPackage characteristicPolynomial characteristicSerie WuWenTsunTriangularSet, [1] characteristicSet WuWenTsunTriangularSet, [1] CharacteristicZero charClass CharacterClass, [1] charlierC FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory charpol InnerNumericEigenPackage charthRoot CharacteristicNonZero FiniteFieldCategory PolynomialFactorizationExplicit chebyshevT JuliaWSExpression JuliaWSNumericalSpecialFunctions OrthogonalPolynomialFunctions PolynomialNumberTheoryFunctions chebyshevU JuliaWSExpression JuliaWSNumericalSpecialFunctions OrthogonalPolynomialFunctions PolynomialNumberTheoryFunctions check GuessOption GuessOptionFunctions0 MultivariateSquareFree ThreeSpaceCategory check_sol1a ModularHermitePade checkExtraValues GuessOption GuessOptionFunctions0 checkForZero DefiniteIntegrationTools, [1] checkOptions GuessOptionFunctions0 checkRur InternalRationalUnivariateRepresentationPackage checkType FortranCodeTools Chi DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] LiouvillianFunction LiouvillianFunctionCategory MathematicalSymbols chi MathematicalSymbols child SubSpace child? RecursiveAggregate children RecursiveAggregate SubSpace chinese_update VectorIntegerReconstructor VectorModularReconstructor chineseRemainder ChineseRemainderToolsForIntegralBases CRApackage, [1] IntegerNumberTheoryFunctions ChineseRemainderToolsForIntegralBases chineseRemainder factorList listConjugateBases chiSquare RandomFloatDistributions chiSquare1 RandomFloatDistributions cholesky JuliaWSMatrix choosemon LinGroebnerPackage chvar ChangeOfVariable, [1] Ci DoubleFloatSpecialFunctions2 FloatLiouvilianFunctions, [1] JuliaFloat64SpecialFunctions2 LiouvillianFunction LiouvillianFunctionCategory circle DeltaComplexFactory cis JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloat JuliaF64MatrixTranscendentalFunctions JuliaFloat JuliaObjComplexF64 JuliaObjFloat64 cispi JuliaComplexFloat JuliaFloat JuliaObjComplexF64 JuliaObjFloat64 class JetBundleCategory, [1] JetBundleFunctionCategory classicalConvolution DistributionCategory classicalCumulant DistributionCategory classicalCumulants DistributionCategory clear_used_intrinsics FortranCodeTools clearCache SortedCache clearDenominator CommonDenominator InnerCommonDenominator MatrixCommonDenominator PolynomialCommonDenominator UnivariatePolynomialCommonDenominator clearFortranOutputStack FortranOutputStackPackage clearTable! 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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 JuliaWSExpression JuliaWSInteger JuliaWSNumericalSpecialFunctions 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? fill! IndexedAggregate TwoDimensionalArrayCategory fillPascalTriangle GaloisGroupUtilities filterUntil InfiniteTuple Stream filterWhile InfiniteTuple Stream find Collection find_relation LLLReduction findCycle Stream findInstance JuliaWSExpression, [1], [2], [3], [4], [5] findNode SceneNamedPoints findNonZeroEntry XDistributedPolynomialFunctions FindOrderFinite order findPoint SceneNamedPoints findRoot JuliaWSExpression Finite enumerate index lookup random size finite? CardinalNumber JuliaComplexFloat JuliaFloat NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField 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 JuliaWSAggregate 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 InnerNemoExactComplexField JuliaWSExpression NemoAlgebraicNumber NemoExactComplexField QuotientFieldCategory RealNumberSystem SpecialFunctionCategory flush 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 JuliaWSExpression 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 JuliaWSExpression, [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] InnerNemoExactComplexField JuliaFloat64SpecialFunctions2, [1] JuliaFloatSpecialFunctions2, [1] JuliaWSExpression JuliaWSNumericalSpecialFunctions, [1], [2] MathematicalSymbols NemoExactComplexField SpecialFunctionCategory, [1] gamma FloatLiouvilianFunctions MathematicalSymbols gamma_inc_inv JuliaFloat64SpecialFunctions2 GammaRegularized JuliaWSExpression JuliaWSNumericalSpecialFunctions gauge CartanKuranishi gaugeHilbert CartanKuranishi gaussianDistribution DistributionPackage GaussianFactorizationPackage factor prime? sumSquares gaussianMatrix JuliaWSUtilityFunctions 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 JuliaWSExpression, [1] JuliaWSNumericalSpecialFunctions, [1] 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 JuliaWSMatrix 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? NemoFiniteField NemoPrimeField 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 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 JuliaWSExpression goldenRation JuliaFloat32 JuliaFloat64 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 JuliaWSExpression, [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 JuliaWSExpression JuliaWSNumericalSpecialFunctions 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] NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField 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]

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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 JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory hankelH1x JuliaFloat64SpecialFunctions2 hankelH2 FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory hankelH2x JuliaFloat64SpecialFunctions2 hankelIndices XDistributedPolynomialFunctions HankelMatrix HankelPackage hankelMatrix JuliaWSUtilityFunctions 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 JuliaFloat64 JuliaInt64 hasoln ParametricLinearEquations hasPredicate? Pattern hasSolution? LinearSystemMatrixPackage LinearSystemMatrixPackage1 hasTopPredicate? Pattern Hausdorff XExponentialPackage haversine JuliaWSExpression JuliaWSNumericalSpecialFunctions 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions OrthogonalPolynomialFunctions SpecialFunctionCategory HermiteIntegrate AlgebraicHermiteIntegration, [1] TranscendentalHermiteIntegration, [1] hermitian? JuliaComplexF32Matrix JuliaComplexF64Matrix JuliaWSMatrix hermitianPart JuliaComplexF32Matrix JuliaComplexF64Matrix hermitianPart! JuliaComplexF32Matrix JuliaComplexF64Matrix hessenberg JuliaWSMatrix 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 JuliaWSUtilityFunctions 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 JuliaWSExpression 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions hurwitzZeta JuliaWSExpression JuliaWSNumericalSpecialFunctions NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField HyperbolicFunctionCategory cosh coth csch sech sinh tanh hyperelliptic FunctionFieldCategory HyperellipticFiniteDivisor hyperFactorial JuliaWSExpression JuliaWSInteger JuliaWSNumericalSpecialFunctions hypergeometric0F1 DoubleFloatSpecialFunctions2, [1] JuliaWSExpression JuliaWSNumericalSpecialFunctions hypergeometric0F1Regularized JuliaWSExpression JuliaWSNumericalSpecialFunctions hypergeometric1F1 JuliaWSExpression JuliaWSNumericalSpecialFunctions NemoAcbField NemoComplexBall NemoComplexField hypergeometric1F1Regularized JuliaWSExpression JuliaWSNumericalSpecialFunctions NemoAcbField NemoComplexBall NemoComplexField hypergeometricF FunctionalSpecialFunction SpecialFunctionCategory hypergeometricU JuliaWSExpression JuliaWSNumericalSpecialFunctions NemoAcbField NemoComplexBall NemoComplexField hypot JuliaComplexFloatSpecialFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions

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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 JuliaFloat32Matrix JuliaFloat64Matrix JuliaMatrix STransform identityMatrix JuliaWSUtilityFunctions 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 JuliaComplexF32Matrix JuliaComplexF32Vector JuliaComplexF64Matrix JuliaComplexF64Vector NemoAlgebraicNumber TrigonometricManipulations imagE OctonionCategory imagI OctonionCategory QuaternionCategory imagi OctonionCategory imaginary ComplexCategory imaginary? InnerNemoExactComplexField NemoExactComplexField imagJ OctonionCategory QuaternionCategory imagj OctonionCategory imagK OctonionCategory QuaternionCategory imagk OctonionCategory imagSign NemoAlgebraicNumber 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! 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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 InnerNemoExactComplexField, [1] NemoExactComplexField, [1] OnePointCompletion infinity? InnerNemoExactComplexField NemoExactComplexField 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] InnerNemoExactComplexField * /, [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? retractIfCan, [1], [2] 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 JuliaWSAggregate 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 JuliaWSInteger OutputFormTools SExpressionCategory integer? FortranScalarType InnerNemoExactComplexField IntegerRetractions JuliaComplexFloat JuliaFloat NemoAcbField NemoAlgebraicNumber NemoArbField NemoComplexBall NemoComplexField NemoExactComplexField NemoRealBall NemoRealField 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 JuliaWSAPReal JuliaWSReal 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 JuliaWSExpression, [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 JuliaWSExpression interpret InputForm InputFormFunctions1 interpret_in_new_env InputForm interpretString TemplateUtilities interReduce PolynomialSetUtilitiesPackage intersect PolynomialIdeal, [1] RegularTriangularSetCategory, [1], [2], [3] SetAggregate intersection JuliaWSAggregate 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 JuliaFloat64SpecialFunctions2 inverse FreeDivisionAlgebra InnerMatrixLinearAlgebraFunctions InnerMatrixQuotientFieldFunctions JuliaWSMatrix MatrixCategory MatrixLinearAlgebraFunctions SquareMatrixCategory TableauxBumpers inverse_cyclotomic CyclotomicUtilities inverseBetaRegularized JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseColeman SymmetricGroupCombinatoricFunctions inverseErf JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseErfc JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseGammaRegularized JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseGudermannian JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseHaversine JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseIntegralMatrix FunctionFieldCategory inverseIntegralMatrixAtInfinity FunctionFieldCategory inverseJacobiCn JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseJacobiSn JuliaWSExpression JuliaWSNumericalSpecialFunctions inverseLaplace InverseLaplaceTransform InverseLaplaceTransform inverseLaplace invertALS FreeDivisionAlgebra invertible? RegularTriangularSetCategory, [1] invertibleElseSplit? RegularTriangularSetCategory invertibleSet RegularTriangularSetCategory invertIfCan JuliaMatrix JuliaWSMatrix 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? JuliaWSExpression, [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 JuliaWSExpression JuliaWSNumericalSpecialFunctions jacobian MultiVariableCalculusFunctions jacobiCn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory jacobiDn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory jacobiIdentity? FiniteRankNonAssociativeAlgebra jacobiMatrix JetBundleFunctionCategory, [1] JetDifferentialEquation jacobiP FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions SpecialFunctionCategory jacobiParameters DistributionCategory, [1] jacobiPathArray PathArrayPackage jacobiSn EllipticFunctionsUnivariateTaylorSeries FloatEllipticFunctions, [1] FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory jacobiTheta FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory jacobiZeta FloatEllipticFunctions FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions SpecialFunctionCategory janko2 PermutationGroupExamples, [1] jbigint JuliaObjBigInt, [1] jcf32 JuliaComplexF32, [1] jcf64 JuliaComplexF64, [1] jcfloat JuliaComplexFloat, [1], [2] jcfloat64 JuliaObjComplexF64 JContinuedFraction DistributionContinuedFractionPackage, [1] jdframe JuliaDataFrame, [1] jdict JuliaObjDict jdlink JuliaObjDynamicLinker 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 JuliaFloat32, [1], [2] jf64 JuliaFloat64, [1], [2] jfalse JuliaObjBoolean jfloat JuliaFloat, [1], [2], [3] jfloat64 JuliaObjFloat64, [1], [2] JFriCASSupport setFormat! setFormats! ji64 JuliaInt64, [1] jinc JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 jint64 JuliaObjInt64, [1] jlAbout JuliaObjectType jlAddPackage JuliaUtilityFunctions jlApply JuliaComplexF32Matrix, [1], [2] JuliaComplexF32Vector, [1], [2] JuliaComplexF64Matrix, [1], [2] JuliaComplexF64Vector, [1], [2] JuliaFloat32, [1], [2] JuliaFloat32Matrix, [1], [2], [3] JuliaFloat32Vector, [1], [2], [3], [4], [5] JuliaFloat64, [1], [2] JuliaFloat64Matrix, [1], [2], [3] JuliaFloat64Vector, [1], [2], [3], [4], [5] JuliaObjectType, [1], [2], [3], [4], [5] jlApprox? JuliaComplexF32Matrix JuliaComplexF32Vector JuliaComplexF64Matrix JuliaComplexF64Vector JuliaComplexFloat, [1] JuliaFloat, [1] JuliaFloat32 JuliaFloat32Matrix JuliaFloat32Vector JuliaFloat64 JuliaFloat64Matrix JuliaFloat64Vector JuliaMatrix JuliaObjFloat64, [1] JuliaUtilityFunctions, [1] JuliaWSAPComplex JuliaWSAPReal JuliaWSComplex JuliaWSReal jlBar JuliaPlotFunctions jlBar! JuliaPlotFunctions jlBICApply JuliaObjBigInt, [1], [2] jlBoolFunction2F32 JuliaUtilityFunctions jlBoolFunction2F64 JuliaUtilityFunctions jlCApply JuliaFloat32, [1], [2] JuliaFloat64, [1], [2] jlContour JuliaDrawFunctions JuliaPlotFunctions, [1] jlContour! JuliaDrawFunctions JuliaPlotFunctions, [1] jlContourf JuliaDrawFunctions JuliaPlotFunctions, [1] jlContourf! JuliaDrawFunctions JuliaPlotFunctions, [1] jlCurves JuliaPlotFunctions jlCurves! JuliaPlotFunctions jlDefined? JuliaUtilityFunctions, [1] jlDensity JuliaPlotFunctions jlDensity! JuliaPlotFunctions jlDescribe JuliaDataFrame jlDisplay JuliaComplexF32Matrix JuliaComplexF32Vector JuliaComplexF64Matrix JuliaComplexF64Vector JuliaFloat32Matrix JuliaFloat32Vector JuliaFloat64Matrix JuliaFloat64Vector JuliaInt64Vector JuliaMatrix JuliaVector jlDlCApply JuliaObjDynamicLinker, [1], [2], [3], [4], [5] jlDlClose JuliaObjDynamicLinker jlDlFindLib JuliaObjDynamicLinker jlDlList JuliaObjDynamicLinker jlDlOpen JuliaObjDynamicLinker, [1], [2], [3] jlDlPath JuliaObjDynamicLinker, [1] jlDlSym JuliaObjDynamicLinker jlEval JuliaWSExpression, [1], [2] JuliaWSObject jlEvalString JuliaUtilityFunctions, [1], [2], [3], [4], [5], [6], [7] jlF32Function2F32 JuliaUtilityFunctions jlF32Function3F32 JuliaUtilityFunctions jlF32FunctionCF32Mat JuliaUtilityFunctions jlF32FunctionCF32MatF32 JuliaUtilityFunctions jlF32FunctionCF32Vec JuliaUtilityFunctions jlF32FunctionCF32VecF32 JuliaUtilityFunctions jlF32FunctionF32 JuliaUtilityFunctions jlF32FunctionF32I64 JuliaUtilityFunctions jlF32FunctionF32Mat JuliaUtilityFunctions jlF32FunctionF32MatF32 JuliaUtilityFunctions jlF32FunctionF32Vec JuliaUtilityFunctions jlF32FunctionF32VecF32 JuliaUtilityFunctions jlF32FunctionI64F32 JuliaUtilityFunctions jlF64CApply JuliaObjFloat64, [1], [2] jlF64Function2F64 JuliaUtilityFunctions jlF64Function3F64 JuliaUtilityFunctions jlF64FunctionCF64Mat JuliaUtilityFunctions jlF64FunctionCF64MatF64 JuliaUtilityFunctions jlF64FunctionCF64Vec JuliaUtilityFunctions jlF64FunctionCF64VecF64 JuliaUtilityFunctions jlF64FunctionF64 JuliaUtilityFunctions jlF64FunctionF64I64 JuliaUtilityFunctions jlF64FunctionF64Mat JuliaUtilityFunctions jlF64FunctionF64MatF64 JuliaUtilityFunctions jlF64FunctionF64Vec JuliaUtilityFunctions jlF64FunctionF64VecF64 JuliaUtilityFunctions jlF64FunctionI64F64 JuliaUtilityFunctions jlFunction2CF32Mat! JuliaUtilityFunctions jlFunction2CF32Vec! JuliaUtilityFunctions jlFunction2CF64Mat! JuliaUtilityFunctions jlFunction2CF64Vec! JuliaUtilityFunctions jlFunction2F32 JuliaUtilityFunctions jlFunction2F32Mat! JuliaUtilityFunctions jlFunction2F32Vec! JuliaUtilityFunctions jlFunction2F64 JuliaUtilityFunctions jlFunction2F64Mat! JuliaUtilityFunctions jlFunction2F64Vec! JuliaUtilityFunctions jlFunction3F32 JuliaUtilityFunctions jlFunction3F64 JuliaUtilityFunctions jlFunctionCF32ArrayCF32Mat JuliaUtilityFunctions jlFunctionCF32ArrayF32Mat JuliaUtilityFunctions jlFunctionCF32Mat JuliaUtilityFunctions jlFunctionCF32Vec JuliaUtilityFunctions jlFunctionCF64ArrayCF64Mat JuliaUtilityFunctions jlFunctionCF64ArrayF64Mat JuliaUtilityFunctions jlFunctionCF64Mat JuliaUtilityFunctions jlFunctionCF64Vec JuliaUtilityFunctions jlFunctionF32 JuliaUtilityFunctions jlFunctionF32ArrayCF32Mat JuliaUtilityFunctions jlFunctionF32ArrayF32Mat JuliaUtilityFunctions jlFunctionF32Mat JuliaUtilityFunctions jlFunctionF32Vec JuliaUtilityFunctions jlFunctionF64 JuliaUtilityFunctions jlFunctionF64ArrayCF64Mat JuliaUtilityFunctions jlFunctionF64ArrayF64Mat JuliaUtilityFunctions jlFunctionF64Mat JuliaUtilityFunctions jlFunctionF64Vec JuliaUtilityFunctions jlHead JuliaWSObject jlI64FunctionF32 JuliaUtilityFunctions jlI64FunctionF64 JuliaUtilityFunctions jlId JuliaObjectType jlImport JuliaUtilityFunctions jlInclude JuliaUtilityFunctions jlInitialize JuliaUtilityFunctions jlLatex JuliaStringUtilities jllMPFRApply JuliaFloat, [1], [2] jlNumeric JuliaWSObject, [1] jlOptions InnerNemoExactComplexField NemoExactComplexField jlPeakFlops JuliaF64LinearAlgebra jlPlot JuliaDrawFunctions, [1] JuliaPlotFunctions, [1], [2], [3] jlPlot! JuliaDrawFunctions, [1] JuliaPlotFunctions, [1], [2], [3] jlPlotTitle! JuliaPlotFunctions jlPlotXlabel! JuliaPlotFunctions jlPlotXlims! JuliaPlotFunctions jlPlotYlabel! JuliaPlotFunctions jlPlotYlims! JuliaPlotFunctions jlPlotZlabel! JuliaPlotFunctions jlPlotZlims! JuliaPlotFunctions jlRange JuliaPlotFunctions, [1] jlRef JuliaObjectType jlref JuliaObjectType jlRegex JuliaStringUtilities jlRegexMatch JuliaStringUtilities, [1], [2], [3], [4], [5] jlRegexMatch? JuliaStringUtilities jlRegexReplace JuliaStringUtilities jlSavePlot JuliaPlotFunctions jlSplit JuliaStringUtilities, [1] jlSubstitute JuliaStringUtilities jlSurface JuliaDrawFunctions JuliaPlotFunctions, [1] jlSurface! JuliaDrawFunctions JuliaPlotFunctions, [1] jlSymbolic JuliaWSObject jlType JuliaObjectType jlUsing JuliaUtilityFunctions jlVector JuliaComplexF32Matrix JuliaComplexF64Matrix JuliaFloat32Matrix JuliaFloat64Matrix jlWireframe JuliaDrawFunctions JuliaPlotFunctions, [1] jlWireframe! JuliaDrawFunctions JuliaPlotFunctions, [1] jlWSAccuracy JuliaWSExpression jlWSExport JuliaWSUtilityFunctions jlWSExportString JuliaWSUtilityFunctions jlWSPlot JuliaWSUtilityFunctions jlWSPrecision JuliaWSExpression jlWSSetAccuracy JuliaWSExpression jlWSSetOptions JuliaWSExpression jlWSSetPrecision JuliaWSExpression jmatrix JuliaMatrix jmp2nmp NemoMultivariatePolynomial jnan NemoAlgebraicNumber, [1], [2] jnball NemoArbField NemoRealBall NemoRealField jncb NemoAcbField, [1], [2], [3], [4], [5], [6], [7] NemoComplexBall, [1], [2], [3], [4], [5], [6], [7] jncf NemoComplexField, [1], [2], [3], [4], [5] jnecf InnerNemoExactComplexField, [1], [2], [3], [4] NemoExactComplexField, [1], [2], [3], [4] jnff NemoFiniteField, [1] jnint NemoInteger jnpf NemoPrimeField, [1] jnrat NemoRational, [1], [2], [3] jnrb NemoArbField, [1], [2], [3], [4], [5] NemoRealBall, [1], [2], [3], [4], [5] jnrf NemoRealField, [1], [2], [3] jnup NemoUnivariatePolynomial jnzmod NemoIntegerMod, [1] jobject JuliaObject join Dcpo JetDifferentialEquation JuliaWSAggregate LatticeJoinOfMeets LatticeMeetOfJoins OrientedFacet SparseEchelonMatrix joinIfCan Poset, [1] JoinSemilattice \/ jordan JuliaWSMatrix jordanAdmissible? FiniteRankNonAssociativeAlgebra jordanAlgebra? FiniteRankNonAssociativeAlgebra jsym JuliaSymbol, [1] jtrue JuliaObjBoolean jtuple JuliaObjTuple, [1] JuliaArbitraryPrecision precision JuliaCF32LinearAlgebra 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! JuliaCF64LinearAlgebra 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! juliaCMPrint JuliaComplexF32Matrix JuliaComplexF64Matrix JuliaComplexF32 jcf32, [1] JuliaComplexF32Matrix adjoint adjoint! coerce copy! diagonalMatrix hermitian? hermitianPart hermitianPart! imag jlApply, [1], [2] jlApprox? jlDisplay jlVector juliaCMPrint nrand positiveDefinite? real transpose! urand01 JuliaComplexF32MatrixTranscendentalFunctions JuliaComplexF32SquareMatrix coerce qcoerce squareMatrix JuliaComplexF32Vector copy! imag jlApply, [1], [2] jlApprox? jlDisplay juliaCVPrint nrand qnew real urand01 vector JuliaComplexF64 jcf64, [1] JuliaComplexF64Matrix adjoint adjoint! coerce copy! diagonalMatrix hermitian? hermitianPart hermitianPart! imag jlApply, [1], [2] jlApprox? jlDisplay jlVector juliaCMPrint nrand positiveDefinite? real transpose! urand01 JuliaComplexF64MatrixTranscendentalFunctions 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 JuliaComplexF64SquareMatrix coerce qcoerce squareMatrix JuliaComplexF64Vector copy! imag jlApply, [1], [2] jlApprox? jlDisplay juliaCVPrint nrand qnew real urand01 vector JuliaComplexFloat * /, [1] atan, [1] cis cispi coerce, [1] exp exp1 exp10 exp2 expm1 finite? integer? jcfloat, [1], [2] jlApprox?, [1] log10 log1p log2 nrand precision, [1] real? string urand01 JuliaComplexFloatSpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2Rad hypot rad2Deg secd sinc sind sinpi tand tanpi juliaCVPrint JuliaComplexF32Vector JuliaComplexF64Vector JuliaDataFrame elt, [1] jdframe, [1] jlDescribe matrix qelt, [1] JuliaDrawFunctions jlContour jlContour! jlContourf jlContourf! jlPlot, [1] jlPlot!, [1] jlSurface jlSurface! jlWireframe jlWireframe! JuliaF32LinearAlgebra 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! JuliaF32MatrixTranscendentalFunctions JuliaF32SquareMatrix qcoerce squareMatrix JuliaF64LinearAlgebra 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! JuliaF64MatrixTranscendentalFunctions 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 JuliaF64SquareMatrix qcoerce squareMatrix JuliaFloat * / ^ atan cis cispi coerce, [1] exp exp1 exp10 exp2 expm1 finite? integer? jfloat, [1], [2], [3] jlApprox?, [1] jllMPFRApply, [1], [2] log10 log1p log2 nrand precision, [1] string urand01 JuliaFloat32 atan catalan eulerGamma exp expm1 goldenRation jf32, [1], [2] jlApply, [1], [2] jlApprox? jlCApply, [1], [2] log10 log2 nan negativeInfinity nrand positiveInfinity string urand01 JuliaFloat32Matrix copy! diagonalMatrix identity jlApply, [1], [2], [3] jlApprox? jlDisplay jlVector juliaMPrint nrand positiveDefinite? skewPart symmetricPart symmetricPart! transpose! urand urand01

JuliaFloat32Vector copy! jlApply, [1], [2], [3], [4], [5] jlApprox? jlDisplay juliaVPrint nrand qnew urand urand01 vector JuliaFloat32VectorFunctions2 map, [1] reduce scan JuliaFloat64 atan catalan eulerGamma exp expm1 goldenRation hashUpdate! jf64, [1], [2] jlApply, [1], [2] jlApprox? jlCApply, [1], [2] log10 log2 nan negativeInfinity nrand positiveInfinity string urand01 JuliaFloat64Matrix coerce copy! diagonalMatrix identity jlApply, [1], [2], [3] jlApprox? jlDisplay jlVector juliaMPrint nrand positiveDefinite? skewPart symmetricPart symmetricPart! transpose! urand urand01 JuliaFloat64SpecialFunctions 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 JuliaFloat64SpecialFunctions2 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 JuliaFloat64Vector coerce coerce! copy! jlApply, [1], [2], [3], [4], [5] jlApprox? jlDisplay juliaVPrint nrand qnew urand urand01 vector JuliaFloat64VectorFunctions2 map, [1] reduce scan JuliaFloatSpecialFunctions acosd acotd acscd asecd asind atand, [1] cosc cosd cospi cotd cscd deg2Rad hypot ldexp rad2Deg secd sinc sind sinpi tand tanpi JuliaFloatSpecialFunctions2 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 JuliaInt64 coerce, [1] hashUpdate! ji64, [1] max min string JuliaInt64Vector jlDisplay juliaIVPrint qnew vector juliaIVPrint JuliaInt64Vector JuliaMatrix coerce, [1], [2] diagonalMatrix eigenvalues identity invertIfCan jlApprox? jlDisplay jmatrix nrand, [1] radicalEigenvalues urand01, [1] JuliaMatrixCategory juliaMPrint JuliaFloat32Matrix JuliaFloat64Matrix JuliaObjBigInt jbigint, [1] jlBICApply, [1], [2] JuliaObjBoolean coerce jfalse jtrue JuliaObjComplexF64 * /, [1] cis cispi jcfloat64 JuliaObjDict delete!, [1] elt, [1] jdict qelt, [1] setelt!, [1] JuliaObjDynamicLinker jdlink jlDlCApply, [1], [2], [3], [4], [5] jlDlClose jlDlFindLib jlDlList jlDlOpen, [1], [2], [3] jlDlPath, [1] jlDlSym JuliaObject coerce jobject JuliaObjectAggregate elt, [1] qelt, [1] JuliaObjectRing JuliaObjectType jlAbout jlApply, [1], [2], [3], [4], [5] jlId jlRef jlref jlType mutable? nothing? string JuliaObjFloat64 * /, [1] cis cispi coerce, [1] convert jfloat64, [1], [2] jlApprox?, [1] jlF64CApply, [1], [2] JuliaObjInt64 jint64, [1] JuliaObjTuple jtuple, [1] JuliaPlotFunctions 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] JuliaRing one? zero? JuliaStringUtilities jlLatex jlRegex jlRegexMatch, [1], [2], [3], [4], [5] jlRegexMatch? jlRegexReplace jlSplit, [1] jlSubstitute JuliaSymbol coerce, [1] jsym, [1] string JuliaType JuliaUtilityFunctions jlAddPackage jlApprox?, [1] jlBoolFunction2F32 jlBoolFunction2F64 jlDefined?, [1] jlEvalString, [1], [2], [3], [4], [5], [6], [7] jlF32Function2F32 jlF32Function3F32 jlF32FunctionCF32Mat jlF32FunctionCF32MatF32 jlF32FunctionCF32Vec jlF32FunctionCF32VecF32 jlF32FunctionF32 jlF32FunctionF32I64 jlF32FunctionF32Mat jlF32FunctionF32MatF32 jlF32FunctionF32Vec jlF32FunctionF32VecF32 jlF32FunctionI64F32 jlF64Function2F64 jlF64Function3F64 jlF64FunctionCF64Mat jlF64FunctionCF64MatF64 jlF64FunctionCF64Vec jlF64FunctionCF64VecF64 jlF64FunctionF64 jlF64FunctionF64I64 jlF64FunctionF64Mat jlF64FunctionF64MatF64 jlF64FunctionF64Vec jlF64FunctionF64VecF64 jlF64FunctionI64F64 jlFunction2CF32Mat! jlFunction2CF32Vec! jlFunction2CF64Mat! jlFunction2CF64Vec! jlFunction2F32 jlFunction2F32Mat! jlFunction2F32Vec! jlFunction2F64 jlFunction2F64Mat! jlFunction2F64Vec! jlFunction3F32 jlFunction3F64 jlFunctionCF32ArrayCF32Mat jlFunctionCF32ArrayF32Mat jlFunctionCF32Mat jlFunctionCF32Vec jlFunctionCF64ArrayCF64Mat jlFunctionCF64ArrayF64Mat jlFunctionCF64Mat jlFunctionCF64Vec jlFunctionF32 jlFunctionF32ArrayCF32Mat jlFunctionF32ArrayF32Mat jlFunctionF32Mat jlFunctionF32Vec jlFunctionF64 jlFunctionF64ArrayCF64Mat jlFunctionF64ArrayF64Mat jlFunctionF64Mat jlFunctionF64Vec jlI64FunctionF32 jlI64FunctionF64 jlImport jlInclude jlInitialize jlUsing JuliaVector coerce, [1] jlDisplay jvector kroneckerProduct nrand, [1] urand01, [1] vector JuliaVectorCategory JuliaVectorFunctions2 map, [1] reduce scan juliaVPrint JuliaFloat32Vector JuliaFloat64Vector JuliaWSAggregate # 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 JuliaWSAPComplex * atan coerce, [1], [2], [3] complex erf erfc exp jlApprox? jWSComplex, [1] log10 log2 sinc toString urand01 JuliaWSAPReal atan coerce, [1], [2], [3], [4] erf erfc exp integerPart jlApprox? jWSReal, [1], [2], [3], [4], [5] log10 log2 rationalApproximation, [1] sinc urand01 JuliaWSComplex * atan coerce, [1], [2], [3], [4], [5] complex erf erfc exp jlApprox? jWSComplex, [1] log10 log2 sinc toString urand01 JuliaWSExpression ^ apart, [1] atan barnesG BetaRegularized cancel, [1] catalan ceiling chebyshevT chebyshevU coefficient, [1] coefficientList coefficientRules, [1] coerce, [1], [2], [3], [4], [5], [6] collect, [1] complexExpand, [1] coulombF coulombG coulombH1 coulombH2 dawson decompose dedekindEta 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 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 integrate, [1], [2] interpolatingPolynomial inverseBetaRegularized inverseErf inverseErfc inverseGammaRegularized inverseGudermannian inverseHaversine inverseJacobiCn inverseJacobiSn irreducible?, [1] jacobiAmplitude jacobiP jacobiZeta jlEval, [1], [2] jlWSAccuracy jlWSPrecision jlWSSetAccuracy jlWSSetOptions jlWSSetPrecision 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] mathieuC mathieuCharacteristicA mathieuCharacteristicB mathieuCharacteristicExponent mathieuCPrime mathieuS mathieuSPrime matrixForm maximize, [1], [2] maxLimit member? minimalPolynomial, [1] minimize, [1], [2] minLimit modularLambda monomialList negative? normal, [1] 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 rationalApproximation, [1] reduce, [1], [2], [3], [4], [5] refine replace, [1] replaceAll replaceAt replacePart replaceRepeated residue residueSum resultant retract retractIfCan, [1], [2] 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] together toString traditionalForm trigExpand trigFactor trigFactorList trigReduce trigToExp values variables whittakerM whittakerW zernikeR zero? JuliaWSGaussianInteger coerce, [1] jWSGI random JuliaWSInteger / coerce, [1], [2] factor fibonacci hyperFactorial integer jWSInt QFactorial JuliaWSList coerce jWSList, [1] JuliaWSMatrix *, [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 JuliaWSNumber JuliaWSNumericalSpecialFunctions 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 JuliaWSObject jlEval jlHead jlNumeric, [1] jlSymbolic jWSInterpret toString JuliaWSRational coerce, [1] convert jWSRat JuliaWSReal 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 JuliaWSRing JuliaWSSymbol coerce, [1], [2], [3], [4], [5] jWSSym, [1] WComplex WFalse WInteger WList WRational WReal WRule WString WSymbol WTrue JuliaWSUtilityFunctions gaussianMatrix hankelMatrix hilbertMatrix identityMatrix jlWSExport jlWSExportString jlWSPlot range, [1], [2] seedRandom urand01Complex, [1] urand01Real, [1] vandermondeMatrix, [1] zeroMatrix JuliaWSVector *, [1], [2] + -, [1] coerce cross dot jWSVector, [1] norm transpose vector jvector JuliaVector jWSAggregate JuliaWSAggregate jWSComplex JuliaWSAPComplex, [1] JuliaWSComplex, [1] jWSEqual JuliaWSExpression jWSExpr JuliaWSExpression, [1], [2], [3], [4], [5], [6], [7] jWSGI JuliaWSGaussianInteger jWSGreater JuliaWSExpression jWSGreaterEqual JuliaWSExpression jWSInt JuliaWSInteger jWSInterpret JuliaWSObject jWSLess JuliaWSExpression jWSLessEqual JuliaWSExpression jWSList JuliaWSList, [1] jWSMatrix JuliaWSMatrix jWSNotEqual JuliaWSExpression jWSQuantity JuliaWSExpression, [1] jWSRat JuliaWSRational jWSReal JuliaWSAPReal, [1], [2], [3], [4], [5] JuliaWSReal, [1], [2], [3], [4] jWSRule JuliaWSExpression jWSString JuliaWSExpression jWSSym JuliaWSSymbol, [1] jWSTable JuliaWSExpression, [1] jWSVector JuliaWSVector, [1]

K

K SKICombinators Kappa MathematicalSymbols kappa MathematicalSymbols karatsuba UnivariatePolynomialMultiplicationPackage karatsubaDivide UnivariatePolynomialCategory karatsubaOnce UnivariatePolynomialMultiplicationPackage kelvinBei FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory kelvinBer FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory kelvinKei FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory kelvinKer FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions 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? JuliaWSExpression KeyedDictionary KeyedAccessFile pack!

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

L

label OutputForm lagrange StreamTaylorSeriesOperations UnivariateFormalPowerSeries UnivariateTaylorSeries LagrangeInterpolation PolynomialInterpolationAlgorithms laguerre PolynomialNumberTheoryFunctions laguerreL FunctionalSpecialFunction JuliaWSExpression, [1] JuliaWSNumericalSpecialFunctions, [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 JuliaWSExpression JuliaWSNumericalSpecialFunctions, [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 JuliaWSAggregate 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 JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField ldivide XPolynomialFactor LE Switch le Preorder leader DifferentialPolynomialCategory 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 JuliaWSExpression, [1] JuliaWSNumericalSpecialFunctions, [1] OrthogonalPolynomialFunctions SpecialFunctionCategory legendreQ FunctionalSpecialFunction JuliaWSExpression, [1] JuliaWSNumericalSpecialFunctions, [1] SpecialFunctionCategory length FreeMagma FreeMonoid GaloisGroupFactorizationUtilities IntegerNumberSystem JuliaWSAggregate JuliaWSExpression LyndonWord PoincareBirkhoffWittLyndonBasis VectorCategory lepol GroebnerInternalPackage lerchPhi FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions SpecialFunctionCategory less? Aggregate UserDefinedPartialOrdering, [1] level JuliaWSExpression, [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 light Palette lighting ThreeDimensionalViewport limit FunctionGraph JuliaWSExpression 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 JuliaWSMatrix 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 FactoredFunctions FloatElementaryFunctions FortranExpression JuliaCF32LinearAlgebra JuliaCF64LinearAlgebra JuliaF32LinearAlgebra JuliaF64LinearAlgebra LieExponentials StreamExponentialSeriesTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative XExponentialPackage XPBWPolynomial log1 StreamExponentialSeriesOperations log10 DoubleFloat Float, [1] FloatElementaryFunctions FortranExpression JuliaComplexFloat JuliaFloat JuliaFloat32 JuliaFloat64 JuliaWSAPComplex JuliaWSAPReal JuliaWSComplex JuliaWSExpression JuliaWSReal log1p JuliaComplexFloat JuliaFloat JuliaFloat64SpecialFunctions NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField log2 DoubleFloat Float, [1] FloatElementaryFunctions JuliaComplexFloat JuliaFloat JuliaFloat32 JuliaFloat64 JuliaWSAPComplex JuliaWSAPReal JuliaWSComplex JuliaWSExpression JuliaWSReal log_plus_1 DoubleFloatElementaryFunctions log_series FloatElementaryFunctions logabsbeta JuliaFloat64SpecialFunctions2 logabsgamma JuliaFloat64SpecialFunctions2 logBarnesG JuliaWSExpression JuliaWSNumericalSpecialFunctions logBeta JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 logDependenceQ MultiplicativeDependence logDeterminant JuliaF32LinearAlgebra JuliaF64LinearAlgebra logerfc JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 logerfcx JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 logextint ParametricIntegration ParametricTranscendentalIntegration logGamma DoubleFloatSpecialFunctions2, [1] FloatSpecialFunctions, [1] JuliaFloat64SpecialFunctions2, [1] JuliaFloatSpecialFunctions2, [1] JuliaWSExpression JuliaWSNumericalSpecialFunctions Logic ~ false true logical? FortranScalarType logicF ILogic LatticeJoinOfMeets LatticeMeetOfJoins logicT ILogic LatticeJoinOfMeets LatticeMeetOfJoins logIfCan PartialTranscendentalFunctions logpart IntegrationResult logPiI NemoAlgebraicNumber lommelS1 FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory lommelS2 FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory lookup Finite InnerNormalBasisFieldFunctions JuliaWSExpression, [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 JuliaF32LinearAlgebra JuliaF64LinearAlgebra JuliaWSMatrix lu! JuliaF32LinearAlgebra JuliaF64LinearAlgebra lub Poset LUDecomp LUDecomposition LUDecomposition LUDecomp LUInverse LUSolve LUInverse LUDecomposition luReorder JuliaF32LinearAlgebra JuliaF64LinearAlgebra luReorder! JuliaF32LinearAlgebra JuliaF64LinearAlgebra 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] 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? 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IndexedProductCategory InnerSparseUnivariatePowerSeries LaurentPolynomial XFreeAlgebra MonomialExtensionTools decompose normalDenom split splitSquarefree monomialIntegrate TranscendentalIntegration monomialIntPoly TranscendentalIntegration monomialList JuliaWSExpression monomials FreeModuleCategory MaybeSkewPolynomialCategory monotoneConvolution DistributionCategory monotoneCumulant2moment MomentPackage monotoneCumulant2momentPoly MomentPackage monotoneCumulants DistributionCategory more? Aggregate UserDefinedPartialOrdering moreAlgebraic? 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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 JuliaObjectType 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 JuliaFloat32 JuliaFloat64 nand BitAggregate Boolean nary FormatterCategory nary? BasicOperator naryPlus FormatterCategory ncDetSys SymmetryAnalysis, [1], [2] ncols LinearMultivariateMatrixPencil RectangularMatrixCategory SparseEchelonMatrix TwoDimensionalArrayCategory negative? 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NemoFactored factor, [1] unit NemoFiniteField *, [1], [2] absolute? absoluteNorm absoluteTrace coerce, [1] generator? jnff, [1] norm order sqrt trace NemoInteger * coerce, [1], [2], [3] jnint probablePrime? 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BasicOperator nullBoundary SBoundary nullity InnerMatrixLinearAlgebraFunctions MatrixCategory MatrixLinearAlgebraFunctions RectangularMatrixCategory nullSpace InnerMatrixLinearAlgebraFunctions InnerMatrixQuotientFieldFunctions JuliaWSMatrix MatrixCategory MatrixLinearAlgebraFunctions RectangularMatrixCategory VectorSpaceBasis nullSpaceOverConstants ConstantLinearDependence number? Expression InnerNemoExactComplexField NemoExactComplexField 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 RegularSetDecompositionPackage SquareFreeRegularSetDecompositionPackage NumberTheoreticPolynomialFunctions bernoulliB cyclotomic eulerE numDepVar JetBundleCategory JetBundleFunctionCategory numer AlgebraicNumber FractionalIdeal FunctionSpace2 LocalAlgebra Localize QuotientFieldCategory numerator FunctionSpace2 JetBundleFunctionCategory JuliaWSExpression NemoAlgebraicNumber QuotientFieldCategory numerators ContinuedFraction numerDenom JuliaWSExpression 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 JuliaWSExpression, [1], [2] numericDSolveValue JuliaWSExpression, [1], [2] numericIfCan Numeric, [1], [2], [3], [4], [5] numericIntegrate JuliaWSExpression, [1] numericMaximize JuliaWSExpression, [1], [2] numericMinimize JuliaWSExpression, [1], [2] numericProduct JuliaWSExpression, [1] NumericRealEigenPackage characteristicPolynomial, [1] realEigenvalues realEigenvectors numericSolve JuliaWSExpression, [1] numericSum JuliaWSExpression, [1] NumericTubePlot tube numerJP JetBundleExpression numFunEvals Plot numFunEvals3D Plot3D numIndVar JetBundleCategory JetBundleFunctionCategory

O

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 JuliaRing 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 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 JuliaCF32LinearAlgebra, [1] JuliaCF64LinearAlgebra, [1] JuliaF32LinearAlgebra, [1] JuliaF64LinearAlgebra, [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] NemoFiniteField NemoPrimeField 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? NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField 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 JuliaWSExpression 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions 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 JuliaWSAggregate 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 JuliaWSMatrix 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 InnerNemoExactComplexField MathematicalSymbols NemoAcbField NemoComplexBall NemoComplexField NemoExactComplexField 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions 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 JuliaFloat64SpecialFunctions2 JuliaWSNumericalSpecialFunctions SpecialFunctionCategory polygon ThreeSpaceCategory, [1], [2], [3] polygon? ThreeSpaceCategory PolyGroebner lexGroebner totalGroebner polylog FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions, [1] SpecialFunctionCategory polylog_int ParametricIntegration Polynomial integrate polynomial FreeDivisionAlgebra MultivariateTaylorSeriesCategory, [1] UnivariateTaylorSeriesCategory, [1] polynomial? FreeDivisionAlgebra JuliaWSExpression, [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 JuliaWSExpression polynomialFactor JuliaWSExpression PolynomialFactorizationByRecursion bivariateSLPEBR factorByRecursion factorSquareFreeByRecursion randomR solveLinearPolynomialEquationByRecursion PolynomialFactorizationExplicit charthRoot conditionP factorPolynomial factorSquareFreePolynomial gcdPolynomial solveLinearPolynomialEquation squareFreePolynomial PolynomialFunctions2 map polynomialGCD JuliaWSExpression, [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 JuliaWSExpression, [1] polynomialMod JuliaWSExpression PolynomialNumberTheoryFunctions bernoulli chebyshevT chebyshevU cyclotomic euler fixedDivisor hermite laguerre legendre polynomialQuotient JuliaWSExpression polynomialQuotientRemainder JuliaWSExpression PolynomialRationalRoots get_rational_roots integerBound polynomialReduce JuliaWSExpression polynomialRemainder JuliaWSExpression 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 JuliaWSExpression OrderedRing RealRootCharacterizationCategory positiveDefinite? JuliaComplexF32Matrix JuliaComplexF64Matrix JuliaFloat32Matrix JuliaFloat64Matrix JuliaWSMatrix positiveInfinity InnerNemoExactComplexField JuliaFloat32 JuliaFloat64 JuliaWSExpression NemoExactComplexField PositiveInteger gcd qcoerce positivePower MatrixCategory positiveRemainder IntegerNumberSystem positiveSolve ZeroDimensionalSolvePackage, [1], [2], [3] possibleOrder PointsOfFiniteOrder possiblyInfinite? StreamAggregate possiblyNewVariety? PolynomialSetUtilitiesPackage postfix OutputForm pow InnerNemoExactComplexField ModMonic NemoExactComplexField U32VectorPolynomialOperations power FormatterCategory StreamTaylorSeriesOperations power! StorageEfficientMatrixOperations power_matrix ModularFactorizationOperations powerAssociative? FiniteRankNonAssociativeAlgebra powerExpand JuliaWSExpression, [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 FloatingPointSystem, [1] JuliaArbitraryPrecision JuliaComplexFloat, [1] JuliaFloat, [1] MachineFloat, [1] NemoAcbField NemoComplexBall NemoComplexField, [1] PrecomputedAssociatedEquations firstUncouplingMatrix precondition OutputFormTools predicate PatternFunctions1 predicates Pattern prefix FormatterCategory OutputForm prefix? 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FiniteFieldCategory FiniteFieldPolynomialPackage PrimitiveArray PrimitiveArrayFunctions2 map reduce scan PrimitiveElement primitiveElement, [1], [2] primitiveElement FiniteFieldCategory FunctionSpacePrimitiveElement, [1] PrimitiveElement, [1], [2] PrimitiveFunctionCategory integral, [1] primitiveMonomials MaybeSkewPolynomialCategory 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? 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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

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quantityForm JuliaWSExpression, [1] quantityMagnitude JuliaWSExpression quantityUnit JuliaWSExpression 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 NonNegativeInteger OutputForm quoByVar UnivariateTaylorSeriesCategory quote Character OutputForm quoted? Pattern quotedOperators RewriteRule quotient FloatElementaryFunctions GroupPresentation, [1] PolynomialIdeal, [1] quotientByP PAdicIntegerCategory QuotientFieldCategory / ceiling denom denominator floor fractionPart numer numerator wholePart QuotientFieldCategoryFunctions2 map quppertriangular? LinearMultivariateMatrixPencil qzero? FreeDivisionAlgebra, [1], [2] LinearMultivariateMatrixPencil, [1], [2]

R

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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! FileCategory readable? FileNameCategory readIfCan! File TextFile readLine! TextFile readLineIfCan! TextFile real ComplexCategory ComplexTrigonometricManipulations JuliaComplexF32Matrix JuliaComplexF32Vector JuliaComplexF64Matrix JuliaComplexF64Vector NemoAlgebraicNumber OctonionCategory QuaternionCategory TrigonometricManipulations real? 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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 NonNegativeInteger OutputForm remainder PolynomialSetCategory remainder! 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FileCategory reorder DistributedMultivariatePolynomial GeneralDistributedMultivariatePolynomial HomogeneousDistributedMultivariatePolynomial repack1 ModularAlgebraicGcdOperations repack_polys VectorModularReconstructor RepeatedDoubling double repeatedIndex JetBundleCategory RepeatedSquaring expt repeating Stream repeating? Stream repeatUntilLoop FortranCode replace JuliaWSExpression, [1] StringAggregate replaceAll JuliaWSExpression replaceAt JuliaWSExpression replaceDiffs ExpressionSolve replaceKthElement SetOfMIntegersInOneToN replacePart JuliaWSAggregate JuliaWSExpression replaceRepeated JuliaWSExpression 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 JuliaWSExpression ResidueRing coerce lift reduce residueSum JuliaWSExpression resize ThreeDimensionalViewport TwoDimensionalViewport ResolveLatticeCompletion coerce, [1] rest FreeMagma FreeMonoid JuliaWSAggregate PoincareBirkhoffWittLyndonBasis TriangularSetCategory UnaryRecursiveAggregate, [1] Result showArrayValues showScalarValues result SplittingTree resultant JuliaWSExpression 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] JetBundleLinearFunction JetBundleXExpression JetDifferentialEquation JuliaWSExpression RecursivePolynomialCategory, [1], [2] RetractableFrom RetractableTo retract_Q FunctionalSpecialFunction retractable? 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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 JuliaWSExpression JuliaWSNumericalSpecialFunctions riemannSiegelZ JuliaWSExpression JuliaWSNumericalSpecialFunctions riemannZeta FloatSpecialFunctions FunctionalSpecialFunction JuliaFloat64SpecialFunctions2 JuliaFloatSpecialFunctions2 JuliaWSExpression JuliaWSNumericalSpecialFunctions, [1] SpecialFunctionCategory riffle JuliaWSAggregate, [1] right BinaryRecursiveAggregate FreeMagma LyndonWord OutputForm, [1] RightOpenIntervalRootCharacterization right_ext_ext_GCD UnivariateSkewPolynomialCategory rightAlternative? 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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? 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PolynomialSetCategory round FloatElementaryFunctions JuliaWSExpression RealNumberSystem routeArrows FiniteGraph routeArrowWeight WeightedGraph routeNodes FiniteGraph routeNodeWeight WeightedGraph row JuliaWSMatrix 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? 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Symbol scripts FormatterCategory OutputForm Symbol se2rfi ParametricLinearEquations search KeyedDictionary sec ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative TrigonometricFunctionCategory sec2cos TranscendentalManipulations secd JuliaComplexFloatSpecialFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions sech ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries HyperbolicFunctionCategory JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative sech2cosh TranscendentalManipulations sechIfCan PartialTranscendentalFunctions secIfCan PartialTranscendentalFunctions second Product UnaryRecursiveAggregate seed RandomNumberSource seedRandom Integer JuliaWSUtilityFunctions 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! 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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] JuliaFloat64SpecialFunctions2 LiouvillianFunction LiouvillianFunctionCategory siegelTheta JuliaWSExpression, [1] sierpinskiDivide SceneIFS Sigma MathematicalSymbols sigma MathematicalSymbols sign ElementaryFunctionSign, [1], [2] FunctionalSpecialFunction InnerNemoExactComplexField NemoAlgebraicNumber NemoExactComplexField OrderedRing Permutation RationalFunctionSign, [1], [2] RealRootCharacterizationCategory SpecialFunctionCategory ToolsForSign signAround InnerPolySign, [1], [2] signedInfinity? 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FourierComponent sinc JuliaComplexFloatSpecialFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions JuliaWSAPComplex JuliaWSAPReal JuliaWSComplex JuliaWSExpression JuliaWSReal sincos StreamTranscendentalFunctions sind JuliaComplexF64MatrixTranscendentalFunctions JuliaComplexFloatSpecialFunctions JuliaF64MatrixTranscendentalFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions 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 JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions StreamTranscendentalFunctions StreamTranscendentalFunctionsNonCommutative sinh2csch TranscendentalManipulations sinhcosh StreamTranscendentalFunctions sinhIfCan PartialTranscendentalFunctions sinIfCan PartialTranscendentalFunctions sinpi JuliaComplexFloatSpecialFunctions JuliaFloat64SpecialFunctions JuliaFloatSpecialFunctions NemoAlgebraicNumber 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 JuliaFloat32Matrix JuliaFloat64Matrix 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? 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SparsePolynomialCoercionHelpers remap_variables SparseTable SparseUnivariateLaurentSeries coerce differentiate integrate SparseUnivariatePolynomial outputForm SparseUnivariatePolynomialFunctions2 map SparseUnivariatePuiseuxSeries coerce differentiate integrate SparseUnivariateSkewPolynomial outputForm SparseUnivariateTaylorSeries coerce, [1] differentiate integrate univariatePolynomial SPDE1 RDEaux special_order FunctionFieldCategory SpecialFunctionCategory abs airyAi airyAiPrime airyBi airyBiPrime angerJ besselI besselJ besselK besselY Beta, [1] ceiling charlierC conjugate digamma diracDelta ellipticE, [1] ellipticF ellipticK ellipticPi floor fractionPart Gamma, [1] hahn_p hahnQ hahnR hahnS hankelH1 hankelH2 hermiteH hypergeometricF jacobiCn jacobiDn jacobiP jacobiSn jacobiTheta jacobiZeta kelvinBei kelvinBer kelvinKei kelvinKer krawtchoukK kummerM kummerU laguerreL lambertW legendreP legendreQ lerchPhi lommelS1 lommelS2 meijerG meixnerM meixnerP polygamma polylog racahR riemannZeta sign struveH struveL unitStep weberE weierstrassP weierstrassPInverse weierstrassPPrime weierstrassSigma weierstrassZeta whittakerM whittakerW wilsonW SpecialFunctionUnivariateTaylorSeries lambertW0 weierstrassP0 weierstrassPPrime0 weierstrassSigma0 weierstrassZeta0 specialise CylindricalAlgebraicDecompositionPackage SpecialOutputPackage outputAsFortran, [1], [2] outputAsMathML, [1] outputAsTex, [1] specialTrigs ElementaryFunction sphereSolid CubicalComplexFactory SimplicialComplexFactory sphereSurface CubicalComplexFactory SimplicialComplexFactory spherical CoordinateSystems sphericalBesselJ JuliaFloat64SpecialFunctions2 JuliaWSExpression JuliaWSNumericalSpecialFunctions sphericalBesselY JuliaFloat64SpecialFunctions2 JuliaWSExpression JuliaWSNumericalSpecialFunctions sphericalHankelH1 JuliaWSExpression JuliaWSNumericalSpecialFunctions sphericalHankelH2 JuliaWSExpression JuliaWSNumericalSpecialFunctions sphericalHarmonicY JuliaWSExpression JuliaWSNumericalSpecialFunctions split AlgFactor BinarySearchTree IntegrationResultRFToFunction IntegrationResultToFunction MonomialExtensionTools ParallelIntegrationTools RepresentationPackage2, [1] StringAggregate, [1] split! 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T BoundedMeetSemilattice t RandomFloatDistributions tab TableauxBumpers tab1 TableauxBumpers Table table JetVectorField TableAggregate, [1] XHashTable TableAggregate map setelt! table, [1] Tableau listOfLists tableau tableau JetDifferentialEquation, [1] Tableau TableauxBumpers bat bat1 bumprow bumptab bumptab1 inverse lex maxrow mr slex tab tab1 untab tableForDiscreteLogarithm FiniteFieldCategory tablePow GenExEuclid TabulatedComputationPackage clearTable! extractIfCan initTable! insert! makingStats? printInfo! printingInfo? printStats! startStats! usingTable? tail DoublyLinkedAggregate RecursivePolynomialCategory UnaryRecursiveAggregate tails List take JuliaWSAggregate, [1] tan ElementaryFunction ElementaryFunctionsUnivariateLaurentSeries ElementaryFunctionsUnivariatePuiseuxSeries FortranExpression InnerNemoExactComplexField JuliaComplexF64MatrixTranscendentalFunctions JuliaF64MatrixTranscendentalFunctions NemoExactComplexField StreamTranscendentalFunctions 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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 InnerNemoExactComplexField NemoExactComplexField undefined? InnerNemoExactComplexField NemoExactComplexField 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 JuliaWSAggregate PatternMatchResult SBoundary SetAggregate, [1], [2] UniqueFactorizationDomain factor prime? squareFree squareFreePart uniqueInteger NemoAcbField NemoArbField NemoComplexBall NemoComplexField NemoRealBall NemoRealField unit DrawOption Factored FiniteGraph FiniteRankNonAssociativeAlgebra NemoFactored unit? EntireRing 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 PolynomialCategory, [1] PolynomialCategoryQuotientFunctions, [1] PolynomialToUnivariatePolynomial RationalFunction univariate? 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

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V

validate ChainComplex CoChainComplex validExponential ElementaryFunctionStructurePackage value HashState ILogic LatticeJoinOfMeets LatticeMeetOfJoins OrdSetInts QueryEquation RecursiveAggregate SplittingNode values JuliaWSExpression RecurrenceOperator, [1] vandermondeMatrix JuliaWSUtilityFunctions, [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 variableName GuessOption GuessOptionFunctions0 variableOf SimpleCell variables FactoringUtilities FortranExpression FreeDivisionAlgebra FunctionSpace2, [1] JetBundleCategory, [1] JuliaWSExpression 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] JuliaComplexF32Vector JuliaComplexF64Vector JuliaFloat32Vector JuliaFloat64Vector JuliaInt64Vector JuliaVector JuliaWSVector 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 JuliaWSSymbol weakBiRank AlgebraPackage weberE FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory weierstrass WeierstrassPreparation weierstrassHalfPeriods FloatEllipticFunctions weierstrassInvariants FloatEllipticFunctions weierstrassP FloatEllipticFunctions, [1] FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassP0 SpecialFunctionUnivariateTaylorSeries weierstrassPInverse FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassPPrime FloatEllipticFunctions, [1] FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassPPrime0 SpecialFunctionUnivariateTaylorSeries WeierstrassPreparation weierstrass weierstrassSigma FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions SpecialFunctionCategory weierstrassSigma0 SpecialFunctionUnivariateTaylorSeries weierstrassZeta FunctionalSpecialFunction JuliaWSNumericalSpecialFunctions 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 JuliaWSSymbol whatInfinity OrderedCompletion whileLoop FortranCode whittakerM FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions SpecialFunctionCategory

whittakerW FunctionalSpecialFunction JuliaWSExpression JuliaWSNumericalSpecialFunctions SpecialFunctionCategory wholePart ContinuedFraction PartialFraction QuotientFieldCategory RealNumberSystem wholeRadix RadixExpansion wholeRagits RadixExpansion width IntervalCategory OutputBox wignerDistribution DistributionPackage WildFunctionFieldIntegralBasis integralBasis localIntegralBasis wilsonW FunctionalSpecialFunction SpecialFunctionCategory WInteger JuliaWSSymbol withPredicates Pattern WList JuliaWSSymbol wordInGenerators PermutationGroup wordInStrongGenerators PermutationGroup wordsForStrongGenerators PermutationGroup WRational JuliaWSSymbol WReal JuliaWSSymbol wreath CycleIndicators writable? FileNameCategory write ThreeDimensionalViewport, [1], [2] TwoDimensionalViewport, [1], [2] write! 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 JuliaWSSymbol WString JuliaWSSymbol WSymbol JuliaWSSymbol WTrue JuliaWSSymbol 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 JuliaWSExpression JuliaWSNumericalSpecialFunctions zero MatrixCategory VectorCategory zero? AbelianMonoid FreeDivisionAlgebra JuliaRing JuliaWSExpression 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] JuliaWSUtilityFunctions 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