Reference of functions and built-in symbols

Supported features icon:

✅ - the symbol / function is supported. Note that this doesn’t mean that every possible symbolic evaluation is supported
☑ - the symbol / function is partially implemented and might not support most basic features of the function
❌ - the symbol / function is currently not supported
⚠ - the symbol / function is deprecated and will not be further improved
🧪 - the symbol / function is an experimental implementation. It may not fully behave as expected
☕ - the symbol / function is supported on Java virtual machine
⊞ - the symbol / function is supported on Windows
🔄 - the symbol / function is an alias for another function

Functions in alphabetical order:

✅ $Assumptions
✅ $HistoryLength
✅ $IterationLimit
✅ $Line
✅ $MaxMachineNumber
✅ $MinMachineNumber
✅ $OperatingSystem
✅ $RecursionLimit
✅ $ScriptCommandLine
✅ AASTriangle
✅ Abort
✅ Abs
✅ AbsArg
✅ AbsoluteTiming
✅ Accumulate
✅ AddSides
✅ AddTo
✅ AdjacencyMatrix
☑ Adjugate
🧪 AiryAi
🧪 AiryAiPrime
🧪 AiryBi
🧪 AiryBiPrime
All
✅ AllTrue
✅ Alphabet
Alternatives
✅ And
✅ AngleVector
✅ Annuity
✅ AnnuityDue
✅ AntihermitianMatrixQ
✅ AntisymmetricMatrixQ
✅ AnyTrue
✅ Apart
✅ Append
✅ AppendTo
✅ Apply
✅ ApplySides
✅ ArcCos
✅ ArcCosh
✅ ArcCot
✅ ArcCoth
✅ ArcCsc
✅ ArcCsch
✅ ArcLength
✅ ArcSec
✅ ArcSech
✅ ArcSin
✅ ArcSinh
✅ ArcTan
✅ ArcTanh
✅ Area
✅ Arg
✅ ArgMax
✅ ArgMin
✅ ArithmeticGeometricMean
✅ Array
✅ ArrayDepth
✅ ArrayPad
ArrayPlot
✅ ArrayQ
☑ ArrayReshape
✅ ArrayRules
✅ Arrow
✅ ASATriangle
✅ AssociateTo
✅ Association
✅ AssociationMap
AssociationQ
✅ AssociationThread
✅ Assuming
AtomQ
✅ Attributes
✅ BarChart
✅ BaseDecode
✅ BaseEncode
✅ BaseForm
✅ Begin
✅ BeginPackage
☑ BellB
☑ BellY
☑ BernoulliB
✅ BernoulliDistribution
✅ BernsteinBasis
✅ BesselI
✅ BesselJ
🧪 BesselJZero
✅ BesselK
✅ BesselY
✅ BesselYZero
☑ Beta
✅ BetweennessCentrality
✅ BinaryDeserialize
✅ BinaryDistance
✅ BinarySerialize
✅ BinCounts
☑ Binomial
✅ BinomialDistribution
✅ BipartiteGraphQ
✅ BitLength
✅ Block
✅ Boole
✅ BooleanConvert
✅ BooleanFunction
✅ BooleanMaxterms
✅ BooleanMinimize
✅ BooleanMinterms
BooleanQ
Booleans
✅ BooleanTable
✅ BooleanVariables
✅ BoxWhiskerChart
✅ BrayCurtisDistance
✅ Break
✅ ByteArray
ByteArrayQ
✅ ByteArrayToString
C
✅ CanberraDistance
✅ Cancel
✅ CarlsonRC
✅ CarlsonRD
✅ CarlsonRF
✅ CarlsonRG
✅ CarlsonRJ
☑ CarmichaelLambda
✅ CartesianProduct
✅ Cases
✅ Catalan
✅ CatalanNumber
✅ Catch
✅ Catenate
✅ CauchyDistribution
✅ CDF
✅ Ceiling
✅ CentralMoment
✅ CharacteristicPolynomial
✅ CharacterRange
☑ ChebyshevT
☑ ChebyshevU
☑ Check
☑ CheckAbort
✅ ChessboardDistance
☑ ChineseRemainder
✅ CholeskyDecomposition
✅ Chop
✅ CirclePoints
✅ Clear
✅ ClearAll
✅ ClearAttributes
🧪 ClebschGordan
✅ Clip
✅ Close
✅ ClosenessCentrality
✅ Coefficient
✅ CoefficientList
✅ CoefficientRules
☑ Cofactor
✅ Collect
✅ CollinearPoints
✅ Commonest
☕ Compile
☕ CompiledFunction
✅ CompilePrint
✅ Complement
✅ CompleteGraph
✅ Complex
Complexes
☑ ComplexExpand
✅ ComplexInfinity
✅ ComplexPlot3D
✅ ComposeList
✅ ComposeSeries
✅ CompositeQ
✅ Composition
✅ CompoundExpression
✅ Condition
✅ ConditionalExpression
✅ Conjugate
✅ ConjugateTranspose
Constant
✅ ConstantArray
✅ ContainsAll
✅ ContainsAny
✅ ContainsExactly
✅ ContainsNone
✅ ContainsOnly
✅ Context
✅ Continue
✅ ContinuedFraction
✅ Convergents
✅ CoordinateBoundingBox
✅ CoplanarPoints
✅ CoprimeQ
✅ Correlation
✅ CorrelationDistance
✅ Cos
✅ Cosh
✅ CoshIntegral
✅ CosineDistance
✅ CosIntegral
✅ Cot
✅ Coth
✅ Count
✅ CountDistinct
✅ Counts
✅ Covariance
✅ Cross
✅ Csc
✅ Csch
✅ CubeRoot
✅ Cuboid
✅ Curl
✅ CycleGraph
✅ Cycles
✅ Cyclotomic
✅ Cylinder
☑ D
Dataset
✅ Decrement
☑ DedekindNumber
✅ Default
☑ Defer
✅ Definition
✅ Degree
✅ Delete
✅ DeleteCases
✅ DeleteDuplicates
✅ DeleteDuplicatesBy
✅ Denominator
✅ DensityHistogram
✅ Depth
☑ Derivative
✅ DesignMatrix
✅ Det
✅ Diagonal
✅ DiagonalMatrix
✅ DiagonalMatrixQ
DialogInput
✅ DiceDissimilarity
🔄 Diff
✅ DifferenceDelta
DigitCharacter
✅ DigitCount
✅ DigitQ
✅ Dimensions
☑ DiracDelta
DirectedEdge
✅ DirectedInfinity
✅ DirichletBeta
✅ DirichletEta
✅ DiscreteDelta
🧪 DiscretePlot
✅ DiscreteUniformDistribution
☑ Discriminant
✅ Dispatch
✅ Distribute
✅ Div
🔄 Divergence
✅ Divide
✅ DivideBy
✅ DivideSides
✅ Divisible
✅ Divisors
☑ DivisorSigma
☑ DivisorSum
✅ Do
✅ Dot
✅ DownValues
✅ Drop
☑ DSolve
✅ E
✅ Echo
✅ EchoFunction
✅ EdgeList
✅ EdgeQ
✅ EdgeRules
✅ EditDistance
✅ EffectiveInterest
☑ Eigensystem
☑ Eigenvalues
☑ Eigenvectors
✅ Element
✅ ElementData
☑ Eliminate
✅ EllipticE
✅ EllipticF
✅ EllipticK
✅ EllipticPi
✅ End
✅ EndPackage
✅ Entropy
✅ Equal
✅ Equivalent
☑ Erf
☑ Erfc
☑ Erfi
✅ ErlangDistribution
✅ EuclideanDistance
☑ EulerE
✅ EulerGamma
✅ EulerianGraphQ
☑ EulerPhi
🔄 EvalF
✅ Evaluate
✅ EvenQ
ExactNumberQ
Except
✅ Exp
✅ Expand
✅ ExpandAll
✅ ExpandDenominator
✅ ExpandNumerator
✅ Expectation
✅ ExpIntegralE
✅ ExpIntegralEi
✅ Exponent
✅ ExponentialDistribution
☑ Export
☑ ExtendedGCD
✅ Extract
✅ Factor
✅ Factorial
✅ Factorial2
✅ FactorInteger
✅ FactorSquareFree
✅ FactorSquareFreeList
✅ FactorTerms
✅ FactorTermsList
False
✅ Fibonacci
FileNames
✅ FilePrint
✅ FilterRules
✅ FindClusters
✅ FindEulerianCycle
✅ FindFit
✅ FindGraphIsomorphism
✅ FindHamiltonianCycle
☑ FindInstance
☑ FindLinearRecurrence
☑ FindMaximum
☑ FindMinimum
✅ FindPermutation
☑ FindRoot
✅ FindShortestPath
✅ FindShortestTour
✅ FindSpanningTree
✅ FindVertexCover
✅ First
✅ FirstCase
✅ FirstPosition
✅ Fit
FittedModel
✅ FiveNum
✅ FixedPoint
✅ FixedPointList
Flat
✅ Flatten
✅ FlattenAt
✅ Floor
✅ Fold
✅ FoldList
✅ For
☑ Fourier
☑ FourierDCTMatrix
☑ FourierDSTMatrix
✅ FourierMatrix
✅ FractionalPart
✅ FrechetDistribution
✅ FreeQ
☑ FrobeniusNumber
☑ FrobeniusSolve
✅ FromCharacterCode
✅ FromContinuedFraction
✅ FromDigits
✅ FromLetterNumber
☑ FromPolarCoordinates
✅ FromRomanNumeral
☑ FromSphericalCoordinates
FullDefinition
✅ FullForm
✅ FullSimplify
✅ Function
☑ FunctionExpand
✅ FunctionURL
✅ Gamma
✅ GammaDistribution
✅ Gather
✅ GatherBy
✅ GCD
✅ GegenbauerC
✅ GeoDistance
✅ GeometricDistribution
✅ GeometricMean
✅ Get
✅ Glaisher
✅ GoldenRatio
✅ Grad
Graph
✅ GraphCenter
✅ GraphComplement
✅ GraphDiameter
✅ GraphDifference
✅ GraphDisjointUnion
Graphics3D
✅ GraphIntersection
✅ GraphPeriphery
✅ GraphQ
✅ GraphRadius
✅ GraphUnion
✅ Greater
✅ GreaterEqual
✅ GridGraph
✅ GroebnerBasis
✅ GroupBy
✅ Gudermannian
✅ GumbelDistribution
✅ HamiltonianGraphQ
✅ HammingDistance
✅ HankelH1
✅ HankelH2
✅ HankelMatrix
✅ HarmonicMean
✅ HarmonicNumber
✅ Haversine
✅ Head
✅ HeavisideTheta
☑ HermiteH
✅ HermitianMatrixQ
✅ HessenbergDecomposition
HexidecimalCharacter
✅ HilbertMatrix
✅ Histogram
✅ Hold
HoldAll
✅ HoldComplete
HoldFirst
✅ HoldForm
✅ HoldPattern
HoldRest
✅ HornerForm
🧪 HurwitzLerchPhi
☑ HurwitzZeta
✅ Hypergeometric0F1
✅ Hypergeometric1F1
✅ Hypergeometric2F1
✅ HypergeometricDistribution
🧪 HypergeometricPFQ
✅ I
✅ Identity
✅ IdentityMatrix
✅ If
✅ Im
✅ Implies
Import
☑ In
✅ Increment
Indeterminate
InexactNumberQ
✅ Infinity
✅ Inner
Input
✅ InputForm
InputString
✅ Insert
☕ InstanceOf
🔄 Int
Integer
✅ IntegerDigits
✅ IntegerExponent
✅ IntegerLength
IntegerName
✅ IntegerPart
✅ IntegerPartitions
IntegerQ
Integers
☑ Integrate
☑ InterpolatingFunction
☑ InterpolatingPolynomial
✅ InterquartileRange
✅ Interrupt
✅ Intersection
✅ Interval
✅ IntervalComplement
✅ IntervalData
✅ IntervalIntersection
✅ IntervalMemberQ
✅ IntervalUnion
✅ Inverse
✅ InverseCDF
☑ InverseErf
☑ InverseErfc
☑ InverseFourier
☑ InverseFunction
✅ InverseGudermannian
✅ InverseHaversine
🧪 InverseLaplaceTransform
✅ InverseSeries
🧪 InverseZTransform
✅ IsomorphicGraphQ
✅ JaccardDissimilarity
✅ JacobiAmplitude
✅ JacobiCD
✅ JacobiCN
✅ JacobiDN
✅ JacobiMatrix
☑ JacobiP
✅ JacobiSC
✅ JacobiSD
✅ JacobiSN
☑ JacobiSymbol
JavaClass
✅ JavaForm
☕ JavaNew
☕ JavaObject
☕ JavaObjectQ
JavaShow
✅ Join
✅ JSForm
✅ Key
✅ Keys
✅ KeySelect
KeysExistsQ
✅ KeySort
✅ KeyTake
✅ Khinchin
✅ KolmogorovSmirnovTest
✅ KroneckerDelta
☑ KroneckerProduct
✅ Kurtosis
☑ LaguerreL
🧪 LaplaceTransform
✅ Last
✅ LCM
✅ LeafCount
✅ LeastSquares
☑ LegendreP
☑ LegendreQ
✅ Length
✅ LengthWhile
✅ Less
✅ LessEqual
LetterCharacter
✅ LetterCounts
✅ LetterNumber
✅ LetterQ
✅ Level
✅ LevelQ
☑ LeviCivitaTensor
✅ Limit
✅ LinearModelFit
☑ LinearProgramming
✅ LinearRecurrence
✅ LinearSolve
List
Listable
☑ ListConvolve
☑ ListCorrelate
☑ ListLinePlot
🧪 ListLinePlot3D
🧪 ListLogLogPlot
🧪 ListLogPlot
☑ ListPlot
🧪 ListPlot3D
🧪 ListPointPlot3D
ListQ
🔄 Ln
☕ LoadJavaClass
✅ Log
✅ Log10
✅ Log2
☑ LogGamma
✅ LogIntegral
✅ LogisticSigmoid
✅ LogNormalDistribution
✅ Lookup
✅ LowerCaseQ
✅ LowerTriangularize
✅ LowerTriangularMatrixQ
☑ LucasL
✅ LUDecomposition
MachineNumberQ
☑ MangoldtLambda
✅ ManhattanDistance
✅ Manipulate
✅ Map
✅ MapIndexed
✅ MapThread
✅ MatchingDissimilarity
✅ MatchQ
✅ MathMLForm
🧪 MatrixD
✅ MatrixExp
MatrixForm
✅ MatrixMinimalPolynomial
✅ MatrixPlot
✅ MatrixPower
✅ MatrixQ
✅ MatrixRank
✅ Max
✅ MaxFilter
✅ Maximize
✅ Mean
✅ MeanFilter
✅ Median
✅ MedianFilter
✅ MemberQ
✅ Merge
☑ MersennePrimeExponent
☑ MersennePrimeExponentQ
✅ Message
✅ MessageName
✅ Messages
✅ Min
✅ MinFilter
✅ Minimize
✅ Minors
✅ Minus
MissingQ
✅ Mod
✅ ModularInverse
✅ Module
☑ MoebiusMu
✅ MonomialList
✅ Most
✅ Multinomial
☑ MultiplicativeOrder
✅ MultiplySides
✅ N
✅ NakagamiDistribution
✅ Names
✅ Nand
☑ ND
☑ NDSolve
✅ Negative
✅ Nest
✅ NestList
✅ NestWhile
✅ NestWhileList
✅ NextPrime
NHoldAll
NHoldFirst
NHoldRest
☑ NIntegrate
✅ NMaximize
✅ NMinimize
None
✅ NoneTrue
✅ NonNegative
✅ NonPositive
✅ Nor
✅ Norm
✅ Normal
✅ NormalDistribution
✅ Normalize
✅ Not
✅ Nothing
✅ NRoots
☑ NSolve
Null
✅ NullSpace
🧪 NumberLinePlot
NumberQ
NumberString
✅ Numerator
☑ NumericalOrder
☑ NumericalSort
NumericFunction
NumericQ
✅ OddQ
☑ Off
☑ On
OneIdentity
✅ OpenAppend
✅ OpenWrite
✅ Operate
🧪 OptimizeExpression
✅ Optional
✅ Options
✅ OptionValue
✅ Or
✅ Order
✅ OrderedQ
✅ Ordering
Orderless
✅ Orthogonalize
✅ OrthogonalMatrixQ
☑ Out
☑ Outer
✅ OutputStream
Owerflow
✅ OwnValues
✅ PadLeft
✅ PadRight
🧪 ParametricPlot
Parenthesis
✅ ParetoDistribution
✅ Part
✅ Partition
✅ PartitionsP
✅ PartitionsQ
✅ PatternTest
✅ PauliMatrix
✅ Pause
✅ PDF
☑ PearsonCorrelationTest
☑ PerfectNumber
☑ PerfectNumberQ
✅ Perimeter
✅ PermutationCycles
✅ PermutationCyclesQ
✅ PermutationList
✅ PermutationListQ
✅ PermutationReplace
✅ Permutations
✅ Permute
✅ PetersenGraph
✅ Pi
✅ Pick
✅ Piecewise
✅ PiecewiseExpand
✅ PieChart
✅ PlanarGraphQ
☑ Plot
☑ Plot3D
✅ Plus
PlusMinus
✅ Pochhammer
✅ Point
✅ PoissonDistribution
🧪 PolarPlot
☑ PolyGamma
✅ Polygon
✅ PolygonalNumber
☑ PolyLog
✅ PolynomialExtendedGCD
✅ PolynomialGCD
✅ PolynomialLCM
✅ PolynomialQ
✅ PolynomialQuotient
✅ PolynomialQuotientRemainder
✅ PolynomialRemainder
✅ Position
✅ Positive
✅ PossibleZeroQ
✅ Power
✅ PowerExpand
✅ PowerMod
☑ PowersRepresentations
✅ PreDecrement
✅ PreIncrement
✅ Prepend
✅ PrependTo
☑ Prime
☑ PrimeOmega
☑ PrimePi
☑ PrimePowerQ
✅ PrimeQ
🧪 PrimitiveRootList
PrincipleComponents
✅ Print
✅ PrintableASCIIQ
✅ Probability
☑ Product
☑ ProductLog
✅ Projection
✅ PseudoInverse
✅ QRDecomposition
✅ QuadraticIrrationalQ
✅ Quantile
✅ Quantity
✅ QuantityMagnitude
✅ Quartiles
✅ Quiet
✅ Quotient
✅ QuotientRemainder
✅ Ramp
☑ RamseyNumber
✅ RandomChoice
✅ RandomComplex
✅ RandomGraph
✅ RandomInteger
✅ RandomPermutation
✅ RandomPrime
✅ RandomReal
✅ RandomSample
✅ RandomVariate
✅ Range
✅ RankedMax
✅ RankedMin
✅ Rational
✅ Rationalize
✅ Re
✅ Read
Real
✅ RealAbs
Reals
✅ RealSign
✅ RealValuedNumberQ
✅ Reap
☑ Reduce
✅ Refine
RegularExpression
✅ ReIm
✅ ReleaseHold
RemoveDiacritics
✅ RepeatedTiming
✅ Replace
✅ ReplaceAll
✅ ReplaceList
✅ ReplacePart
✅ ReplaceRepeated
✅ Rescale
✅ Rest
☑ Resultant
✅ Return
✅ Reverse
☑ RiccatiSolve
✅ Riffle
✅ RightComposition
✅ RogersTanimotoDissimilarity
✅ RomanNumeral
✅ Roots
✅ RotateLeft
✅ RotateRight
✅ RotationMatrix
✅ RotationTransform
✅ Round
✅ RowReduce
✅ Rule
✅ RuleDelayed
✅ RussellRaoDissimilarity
☕ SameObjectQ
✅ SameQ
✅ SASTriangle
✅ SatisfiabilityCount
✅ SatisfiabilityInstances
✅ SatisfiableQ
Save
✅ SawtoothWave
✅ ScalingTransform
✅ Scan
✅ SchurDecomposition
✅ Sec
✅ Sech
✅ Select
✅ SelectFirst
SemanticImport
SemanticImportString
✅ Sequence
✅ Series
✅ SeriesCoefficient
✅ SeriesData
✅ Set
✅ SetAttributes
✅ SetDelayed
🧪 Share
✅ ShearingTransform
✅ Sign
✅ Signature
✅ Simplify
✅ Sin
✅ Sinc
✅ SingularValueDecomposition
✅ Sinh
✅ SinhIntegral
✅ SinIntegral
❌ SixJSymbol
✅ Skewness
Slot
SlotSequence
✅ SokalSneathDissimilarity
☑ Solve
✅ Sort
✅ SortBy
✅ Sow
Span
✅ SparseArray
✅ SparseArrayQ
✅ Sphere
🧪 SphericalBesselJ
🧪 SphericalBesselY
☑ Splice
✅ Split
✅ SplitBy
✅ Sqrt
✅ SquaredEuclideanDistance
✅ SquareFreeQ
✅ SquareMatrixQ
☑ SquaresR
✅ SSSTriangle
✅ Stack
✅ StackBegin
✅ StandardDeviation
✅ Standardize
✅ StarGraph
StartOfLine
StartOfString
🧪 StieltjesGamma
☑ StirlingS1
☑ StirlingS2
String
✅ StringCases
✅ StringContainsQ
✅ StringCount
✅ StringExpression
✅ StringFreeQ
✅ StringInsert
✅ StringJoin
✅ StringLength
✅ StringMatchQ
✅ StringPart
✅ StringPosition
StringQ
✅ StringReplace
✅ StringReverse
✅ StringRiffle
✅ StringSplit
✅ StringTake
✅ StringTemplate
✅ StringToByteArray
✅ StringToStream
✅ StringTrim
☑ StruveH
☑ StruveL
✅ StudentTDistribution
✅ Subdivide
☑ Subfactorial
🧪 SubsetCases
✅ SubsetQ
🧪 SubsetReplace
✅ Subsets
✅ Subtract
✅ SubtractFrom
✅ SubtractSides
✅ SudokuSolve
☑ Sum
✅ Surd
✅ SurvivalFunction
✅ Switch
✅ Symbol
✅ SymbolName
SymbolQ
✅ SymmetricMatrixQ
✅ SyntaxQ
SystemDialogInput
✅ Table
✅ TagSet
✅ TagSetDelayed
✅ Take
✅ TakeLargest
✅ TakeLargestBy
✅ TakeSmallest
✅ TakeSmallestBy
✅ TakeWhile
✅ Tally
✅ Tan
✅ Tanh
✅ TautologyQ
✅ TemplateApply
✅ TemplateIf
✅ TemplateSlot
✅ TensorDimensions
☑ TensorProduct
☑ TensorRank
✅ TestReport
TestResultObject
✅ TeXForm
✅ Thread
🧪 ThreeJSymbol
✅ Through
✅ Throw
✅ TimeConstrained
✅ Times
✅ TimesBy
✅ TimeValue
✅ Timing
✅ ToCharacterCode
✅ ToeplitzMatrix
✅ ToExpression
✅ Together
✅ ToLowerCase
☑ ToPolarCoordinates
☑ ToSphericalCoordinates
✅ ToString
✅ Total
✅ ToUnicode
✅ ToUpperCase
✅ Tr
✅ Trace
✅ TransformationFunction
✅ TranslationTransform
Transliterate
✅ Transpose
✅ TreeForm
☑ TrigExpand
☑ TrigReduce
☑ TrigToExp
True
✅ TrueQ
✅ TTest
✅ Tuples
Undefined
✅ Underflow
UndirectedEdge
✅ Unequal
✅ Unevaluated
✅ UniformDistribution
✅ Union
✅ Unique
✅ UnitaryMatrixQ
✅ UnitConvert
✅ Unitize
✅ UnitStep
✅ UnitVector
✅ UnsameQ
✅ Unset
✅ UpperCaseQ
✅ UpperTriangularize
✅ UpperTriangularMatrixQ
✅ UpValues
✅ ValueQ
✅ Values
✅ VandermondeMatrix
✅ Variables
✅ Variance
✅ VectorAngle
✅ VectorQ
Verbatim
✅ VerificationTest
✅ VertexEccentricity
✅ VertexList
✅ VertexQ
✅ WeibullDistribution
✅ WeierstrassP
✅ WeightedAdjacencyMatrix
✅ WeightedGraphQ
✅ Which
✅ While
Whitespace
WhitespaceCharacter
🧪 WhittakerM
🧪 WhittakerW
✅ With
WordBoundary
✅ Xor
✅ YuleDissimilarity
☑ Zeta
🧪 ZTransform

Reference of functions and built-in symbols

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