Wolfram Research

Category

Symbolic & Numeric Computation

115 items

  • Adjugate

    Give the adjugate matrix of a square matrix

  • AkimaInterpolation

    Interpolation and smooth curve fitting based on local procedures

  • AntidiagonalTotals

    Give the totals of the entries on the rising diagonals of a square matrix

  • ArcCosDegree

    Compute the inverse cosine of a number and return a result in degrees

  • ArcCotDegree

    Compute the inverse cotangent of a number and return a result in degrees

  • ArcCscDegree

    Compute the inverse cosecant of a number and return a result in degrees

  • ArcSecDegree

    Compute the inverse secant of a number and return a result in degrees

  • ArcSinDegree

    Compute the inverse sine of a number and return a result in degrees

  • ArcTanDegree

    Compute the inverse tangent of a number and return a result in degrees

  • AreaBetweenCurves

    Find the area between two plane curves

  • Asymptotes

    Compute the asymptotes to a given curve in two dimensions

  • BilliardPolygon

    Show the trajectory of a ball bouncing in a regular n-sided polygon

  • BinaryCodedTernary

    Self-delimiting number representation

  • BitFlip

    Flip an individual bit in an integer (0 to 1 and 1 to 0)

  • BitStringLinearSolve

    A memory efficient form of solving linear systems modulo 2

  • BitStringNullSpace

    A memory efficient form of computing the null space of a matrix modulo 2

  • BitStringRowReduce

    A memory efficient form of Gaussian elimination to row echelon form modulo 2

  • ChiSquareCI

    Estimate the confidence interval based on a Chi-squared distribution

  • ClausenCl

    Compute the Clausen functions

  • CompleteSquare

    Algebraically rewrites an expression by completing the square

  • Correlogram

    Visualize the autocorrelation of data

  • CosDegree

    Compute the cosine of an angle given in degrees

  • CotDegree

    Compute the cotangent of an angle given in degrees

  • CscDegree

    Compute the cosecant of an angle given in degrees

  • DiracMatrix

    Dirac matrices in any dimensions

  • EconomizedRationalApproximation

    Find an economized rational approximation to a function

  • EffectivePrecision

    Effective precision of an expression

  • EgyptianFraction

    Compute Egyptian fractions using different methods

  • EinsteinSolid

    Make a simulation of the Einstein solid

  • EllipsoidProbability

    Find the cumulative probability within the specified elliptic domain

  • EllipsoidQuantile

    Find ellipsoidal location statistics

  • EllipsoidQuartiles

    Find the ellipsoidal loci of the quartiles of matrix

  • Erfci

    Computes the erfci function, defined as the definite integral of the complementary error function, up to a constant

  • EulerEquations

    Get the Euler–Lagrange differential equations derived from a given functional

  • FormatFactorization

    Express an integer factorization as it would be seen in a factorization table

  • FRatioCI

    Estimate the confidence interval based on an F-ratio distribution

  • FromNegabinary

    Recover an integer from negabinary representation

  • FunctionDiscontinuities

    Compute the discontinuities of a function of a single variable

  • GammaSimplify

    Simplify gamma functions in expression

  • GeneralizedVariance

    Find the determinant of the covariance matrix

  • GeneralMiniMaxApproximation

    Find a mini-max approximation of a function defined parametrically

  • GeneralRationalInterpolation

    Find a rational interpolation of a function defined parametrically

  • GrayCode

    Find the Gray code for an integer

  • HappyNumberQ

    Tests whether an integer is a happy number

  • HasDefinitionsQ

    Check if a symbol has definitions associated with it

  • HeronFormula

    Compute the area of a triangle from the edge lengths

  • HessianDeterminant

    Compute the Hessian determinant of a function with respect to a list of variables

  • HexStringToReal

    Convert a hexadecimal string to a real number

  • InflectionPoints

    Find the inflection points of a function of one variable

  • IntegerPartitionQ

    Checks whether the argument is a weakly decreasing list of positive integers

  • Intercepts

    Computes the intercepts of a function with the coordinate axes

  • IntervalComplement

    Calculates the complement of intervals

  • Intrinsic3DCurve

    Plot intrinsic curves in 3D

  • InverseFourierCoefficient

    Find a function with a given Fourier exponential series

  • LatinSquare

    Generate a matrix from a list such that no row or column contains the same element twice

  • LinearFunctionQ

    Determine whether an expression represents a linear function of a given set of variables

  • Loess

    Smooth noisy data using local regression

  • MachineIntegerQ

    Check if a number falls into the range machine-sized integers for your computer

  • MagicSquare

    Get a magic square for odd dimension

  • MatrixPencilSolve

    Find the null values and vectors for the pencil of a set of square matrices

  • MeanDifferenceCI

    Estimate the confidence interval of the difference between the population means

  • MiniMaxApproximation

    Find a mini-max approximation of a function

  • MultivariateKurtosis

    Find the kurtosis coefficient for multivariate data

  • MultivariateMeanDeviation

    Find the scalar mean of the Euclidean distances between the multivariate data points and their mean

  • MultivariateMedianDeviation

    Find the median Euclidean distance from the median of the elements of multivariate data

  • MultivariateTrimmedMean

    Find the mean of multivariate data after removing outermost points

  • NDerivative

    Find a numerical approximation to a function derivative near the specified point

  • NFourierCosTransform

    Find a numerical approximation for a Fourier cosine transform

  • NFourierSequenceTransform

    Find a numerical approximation to the Fourier sequence transform

  • NFourierSeries

    Find a numerical approximation for an exponential Fourier series expansion of a function

  • NFourierSinTransform

    Find a numerical approximation for a Fourier sine transform

  • NFourierTransform

    Find a numerical approximation for a Fourier transform

  • NFourierTrigSeries

    Find a numerical approximation for a trigonometric Fourier series expansion of a function

  • NInverseFourierCoefficient

    Find a numerical approximation for a function with a given Fourier exponential series

  • NInverseFourierSequenceTransform

    Find a numerical approximation to the inverse Fourier sequence transform of a periodic function

  • NInverseFourierSinTransform

    Find a numerical approximation for an inverse Fourier sine transform

  • NInverseFourierTransform

    Find a numerical approximation for the inverse Fourier transform

  • NLimit

    Find the limiting value of an expression numerically

  • NormalCI

    Estimate the confidence interval based on a normal distribution

  • NResidue

    Find a numerical approximation of a residue of an expression around the specified point

  • NSeries

    Find a numerical approximation of a series expansion of a function

  • NthDigit

    Compute the digit in a given place of the positional representation of a number

  • NVariationalBound

    Search numerically for the values of parameters of a trial function that extremize a functional

  • PolyGammaSimplify

    Simplify polygamma functions in an expression

  • PolyLogSimplify

    Simplify polylogarithms in an expression

  • PolynomialHomogenize

    Homogenize a polynomial with respect to a given set of variables

  • QuadraticFormDistribution

    Represent the distribution of a quadratic form with a multivariate normal

  • QuadraticFunctionQ

    Determine whether an expression represents a quadratic function of a given set of variables

  • RandomRealPoint

    Randomly choose a point within a specified domain

  • RationalFunctionQ

    Determine whether an expression represents a rational function of a given set of variables

  • RationalInterpolation

    Find a rational interpolation of a function

  • RealEuclideanDistance

    Get the Euclidean distance between two real vectors without using absolute value

  • RealToHexString

    Give a string representing the hexadecimal form of a real number

  • RoundedPercentageShare

    Calculate rounded percentages that always sum to 100%

  • SecDegree

    Computes the secant of an angle given in degrees

  • SimplexBoundary

    Find the topological boundary of a simplex or simplicial complex

  • SimplexMedian

    Get the simplex median of the elements of a matrix

  • SimplifyRepeatedSubexpressions

    Replace repeated subexpressions in an expression with new symbols

  • SinDegree

    Computes the sine of an angle given in degrees

  • SqrtSpace

    Move back and forth from the squared space or square root space of an algebraic number field

  • StationaryPoints

    Compute the stationary points of a function of one or more variables

  • StudentTCI

    Estimate the confidence interval based on Student t distribution

  • SuggestPlotRange

    Get a variable range against which to plot a given function

  • TanDegree

    Compute the tangent of an angle given in degrees

  • ToNegabinary

    Get the negabinary representation of an integer

  • TotalVariation

    Get the total variation of a matrix

  • TriangleEdgesQ

    Test if three given lengths make a triangle

  • TrimmedLinearFit

    Linear model fitting discarding outliers

  • TwoSidedPValue

    Find the probability of the absolute value of the test statistic being at least as extreme as the given value

  • VarianceRatioCI

    Estimate the confidence interval of the ratio of the population variances

  • VariationalBound

    Find the values of parameters of a trial function that extremize a functional

  • VariationalD

    Get the variational derivative of a functional

  • WishartDistribution

    Represents the Wishart distribution

  • ZeroDiagonal

    Replace the diagonal of an arbitrary matrix with zeros

  • ZetaSimplify

    Simplify zeta functions in expressions