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Every public built-in function in Mathilda, grouped by category. Each page follows the same shape: Description (the function's docstring), Examples (verified against the current build), Implementation notes, Implementation status, and References.

448 functions across 27 categories. Use the search box (press /) to jump to any function.

Categories

Algebra

Apart Cancel Coefficient CoefficientList Collect Decompose Denominator Discriminant Expand ExpandDenominator ExpandNumerator Factor FactorSquareFree FactorTerms FactorTermsList GroebnerBasis HornerForm IrreduciblePolynomialQ MinimalPolynomial Numerator PolynomialExtendedGCD PolynomialGCD PolynomialLCM PolynomialMod PolynomialQ PolynomialQuotient PolynomialRemainder PowerExpand Resultant SubresultantPolynomials Subresultants Together Variables

Arithmetic

Abs Accumulate Accuracy Arg Binomial Ceiling Complex Conjugate Differences DigitCount Divide Factorial Factorial2 FactorialPower Fibonacci Floor FromDigits Im IntegerDigits IntegerExponent IntegerLength IntegerString LucasL MantissaExponent N Plus Power Precision Rational Rationalize Ratios Re ReIm RealDigits RealExponent Round SetAccuracy SetPrecision Sign Sqrt Subtract Times Total

Assignment and Rules

AddTo Clear ClearAll CompoundExpression Decrement DownValues Increment OwnValues PreDecrement PreIncrement Protect Remove Replace ReplaceAll ReplaceAt ReplaceList ReplaceRepeated Rule RuleDelayed Set SetDelayed SubtractFrom Unprotect Unset

Calculus

D Derivative DifferenceDelta Dt FindMaximum FindMinimum FindRoot Integrate Limit PolynomialQuotientRemainder SubresultantPolynomialRemainders Sum

Comparisons

Equal Greater GreaterEqual Inequality Less LessEqual SameQ Unequal UnsameQ

Control Flow

$Epilog $Post $Pre $PrePrint $PreRead $RecursionLimit Boole ConditionalExpression Do For If Piecewise Return Switch TrueQ Which While

Elementary Functions

ArcCos ArcSin ArcTan Chop Clip Cos Cosh Cot Csc Exp ExpToTrig Log Sec Sin Sinh Tan Tanh TrigExpand TrigFactor TrigReduce TrigToExp UnitStep

Expression Information

$MachineEpsilon $MachinePrecision $MaxMachineNumber $MaxNumber $MinMachineNumber $MinNumber AtomQ Attributes ByteCount ClearAttributes ComposeList Composition Evaluate EvenQ Flat FreeQ FullForm Hold HoldAllComplete HoldComplete HoldForm Identity Information InputForm IntegerQ LeafCount ListQ MachineNumberQ MatrixQ MemberQ Negative NonNegative NonPositive NumberQ NumericQ OddQ OneIdentity Orderless Positive PossibleZeroQ Print ReleaseHold SetAttributes Symbol TeXForm ToExpression ToString Unevaluated VectorQ

File I/O

FileBaseName FileExistsQ FileExtension FilePrint Get LoadModule Put PutAppend

Functional Programming

Apply Distribute FixedPoint FixedPointList Fold FoldList Function InterpolatingFunction Interpolation Map MapAll MapAt Nest NestList NestWhile NestWhileList Select Slot SlotSequence Thread Through

Linear Algebra

ConjugateTranspose Cross DesignMatrix Det DiagonalMatrix DiagonalMatrixQ Dot Eigenvalues Eigenvectors FindIntegerNullVector Fit HankelMatrix HermitianMatrixQ HilbertMatrix IdentityMatrix Inner Inverse LUDecomposition LatticeReduce LeastSquares LinearSolve MatrixPower MatrixRank NegativeDefiniteMatrixQ Norm Normalize NullSpace Outer PositiveDefiniteMatrixQ PseudoInverse QRDecomposition RowReduce SingularValueDecomposition SquareMatrixQ SymmetricMatrixQ ToeplitzMatrix Tr UpperTriangularMatrixQ VandermondeMatrix

Lists and Iteration

Array Permutations Range Table Tuples

Mathematical Constants

Catalan Degree E EulerGamma Glaisher GoldenAngle GoldenRatio Khinchin Pi

Number Theory

ContinuedFraction EulerPhi ExtendedGCD FactorInteger FromContinuedFraction GCD LCM MultiplicativeOrder NextPrime PowerMod PrimePi PrimeQ PrimitiveRoot PrimitiveRootList SquareFreeQ

Numerical Calculus

ND NIntegrate NLimit NProduct NResidue NSeries NSum

Pattern Matching

Blank BlankNullSequence BlankSequence Cases Count Default DeleteCases HoldPattern Longest MatchQ Optional Position Repeated RepeatedNull Shortest

Power Series

Normal Series SeriesCoefficient SeriesData

Random Number Generation

RandomChoice RandomComplex RandomInteger RandomReal RandomSample SeedRandom

Scoping Constructs

$Context $ContextPath Begin BeginPackage Block Context End EndPackage Module With

Simplification

$Assumptions $SimplifyDebug Assuming Element Simplify SimplifyCount TransformationFunctions

Solutions of Equations

Cubics Eliminate GeneratedParameters InverseFunctions Quartics Root RootSum Solve SolveAlways ToRadicals VerifySolutions

Special Functions

AiryAi AiryBi BernoulliB BesselI BesselJ BesselK BesselY Beta Erf Erfc Erfi EulerE ExpIntegralEi Gamma Hypergeometric0F1 Hypergeometric1F1 Hypergeometric2F1 HypergeometricPFQ InverseErf InverseErfc LogGamma LogIntegral Pochhammer PolyGamma PolyLog StieltjesGamma Zeta

Statistics

Commonest ExponentialMovingAverage Mean Median MovingAverage MovingMedian Quartiles RootMeanSquare StandardDeviation Variance

String Operations

Characters StringJoin StringLength StringPart StringTake

Structural Manipulation

Append Delete DeleteDuplicates Dimensions Drop Extract First Flatten Head Insert Join Last Length Level Max Min Most OrderedQ Part Partition Prepend Rest Reverse RotateLeft RotateRight Sort Span Split Take Tally Transpose Union UpTo

Time and Date

AbsoluteTime RepeatedTiming TimeConstrained Timing

Other & Advanced

AiryAiPrime AiryBiPrime List

Alphabetical index