Category

# Symbolic & Numeric Computation

326 items

Give the adjugate matrix of a square matrix

• ### AggregateSmallest

Group small values in an association into a single category

• ### AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

• ### ANOVA

Perform an analysis of variance

• ### AntColonyOptimization

Solve a combinatorial optimization problem using an Ant Colony Optimization (ACO) algorithm

• ### 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

• ### ArcsineLawRandomnessTest

Use the arcsine law to assess the randomness of a sequence of zeros and ones

• ### 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

• ### AugmentedMatrix

Get the augmented matrix of the system of linear equations

• ### AxisAngle

Generate the axis-angle representation of a three-dimensional rotation matrix

• ### BasisFromVector

Generate an orthonormal basis from a given 3D real vector

• ### BickleyKi

Evaluate the Bickley function

• ### BilliardPolygon

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

• ### BinaryCodedTernary

Self-delimiting number representation

• ### BinaryIteratedLog

Get the binary iterated logarithm of a positive number

• ### BinaryRunRandomnessTest

Conduct a runs–based test on a sequence of zeros and ones

• ### BinomialMod

Efficient computation of a binomial coefficient modulo a given number

• ### BinormalSurface

Compute the binormal surface to a curve

• ### BisectionMethodFindRoot

Determine the root of an equation using the bisection method

• ### 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

• ### Bjorling

Compute the Björling formula

• ### BoolEval

Fast vectorized evaluation of array inequalities

• ### BootstrapStatistics

Bootstrap a single statistic or a list of statistics

• ### BoundaryElementMeshJoin

Join multiple boundaries to form a single boundary ElementMesh

• ### ButcherPhi

Compute the weight of a Butcher tree

• ### ButcherPrincipalError

Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods

• ### ButcherTreeCount

Get a list of the number of Butcher trees through a given order

• ### ButcherTreeData

Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings

• ### ButcherTreeQ

Determine if a Butcher tree is in valid functional syntax

• ### ButcherTrees

Get a list of the trees for any Runge-Kutta method of a given order

• ### ButcherTreeSimplify

Get the butcher trees through a given order that are not reduced by Butcher’s quadrature or row- or column-simplifying conditions

• ### CanalSurface

Compute the parametrization of a canal surface

• ### CanonicalBasis

Obtain the canonical bases for selected spaces of matrices and functions

• ### CatacausticCurve

Compute the catacaustic of a curve

• ### CatacausticCurvePlot

Plot the catacaustic of a curve

• ### CenteredSimplex

Return an origin-centered simplex where the square of all edge lengths is 2

• ### ChainD

Get the derivative with respect to a function

• ### ChebyshevPsi

Calculate the value of the second Chebyshev function ψ(x)

• ### ChebyshevTheta

Calculate the value of the first Chebyshev function θ(x)

• ### ChiSquareCI

Estimate the confidence interval based on a Chi-squared distribution

• ### ChiSquareRandomnessTest

Test a sequence of zeroes and ones (or a set of random reals between 0 and 1) for equidistribution and return a p-value

• ### ChoquetIntegral

Compute numerically the Choquet integral of a function with respect to a probability distribution

• ### ChristoffelSymbol

Return the Christoffel symbol for a given metric

• ### ClausenCl

Compute the Clausen functions

• ### CoefficientMatrix

Returns the coefficient matrix of a system of equations

• ### CofactorMatrix

Give the matrix of cofactors for a given input matrix

• ### ColumnSpace

Compute properties of the column space of a matrix

• ### ColumnSpaceBasis

Return a basis for the subspace spanned by the columns of a matrix

• ### CommonDivisors

Find the common divisors of two or more integers

• ### CommonMultiples

Find the common multiples of two or more integers

• ### CompleteSquare

Algebraically rewrite an expression by completing the square

• ### CompleteTheSquare

Complete the square of a quadratic polynomial having any number of variables but with no mixed terms

• ### ComplexD

Compute a partial derivative with respect to a complex variable or its conjugate

• ### ComplexRootQ

Determine if a given number is an integer complex root of another number

• ### ComplexRoots

Get the full list of complex nth roots of a number

• ### ConditionedMultinormalDistribution

Calculate conditional and marginal distributions of the multivariate normal distribution

• ### ConicSectionPlot

Classifies and plots any polynomial of degree two or less in two or fewer variables

• ### ConstantTerm

Determine the constant term in an expression

• ### ContrapedalCurve

Compute the contrapedal curve

• ### CoordinateVector

Find the coordinate vector of a vector with respect to a basis

• ### CoprimeIntegerList

Return a list of positive integers coprime to a given integer

• ### Correlogram

Visualize the autocorrelation of data

• ### Cos2PiOverFermatPrime

Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss

• ### CosDegree

Compute the cosine of an angle given in degrees

• ### CotDegree

Compute the cotangent of an angle given in degrees

• ### CrossValidateModel

Check the quality of a data fitting model by splitting the data into test and validation sets multiple times

• ### CscDegree

Compute the cosecant of an angle given in degrees

• ### CurvaturePlot

Plot a curve defined by its curvature

• ### CUSUMMaxRandomnessTest

Conduct a cumulative sum-based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves

• ### DarbouxVector

Compute the Darboux vector field of a curve

• ### DecimalRound

Rounds a machine number to a prescribed number of significant digits using conventional rounding rules

• ### DiagonalizeMatrix

Get the diagonalized matrix of a given matrix

Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares

• ### DigitSum

Find the sum of digits in the positional representation of an integer

• ### DiracMatrix

Dirac matrices in any dimensions

• ### DiscreteIntegralPlot

Plot and find the area of a region determined by a list of points, the x axis and the type of boundary

• ### EconomizedRationalApproximation

Find an economized rational approximation to a function

• ### EffectivePrecision

Get the effective precision of an expression

• ### EgyptianFraction

Compute Egyptian fractions using different methods

• ### EinsteinSolid

Make a simulation of the Einstein solid

• ### EinsteinSummation

Given tensors and their indices, sum over repeated indices

• ### 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

• ### EnneperWeierstrass

Compute the Enneper-Weierstrass parametrization

• ### Erfci

Set up a symbol to give an error message when called with an unexpected number of arguments

• ### EulerEquations

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

• ### EvenFunctionQ

Determine whether an expression is an even function of the given variable or variables

• ### EvoluteCurve

Compute the evolute of a curve

• ### ExtendedGroebnerBasis

Compute a Groebner basis and a conversion matrix from the input polynomials to the basis

• ### ExtendedLatticeReduce

Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis

• ### FabiusF

Evaluate the Fabius function

• ### FactorialMod

Fast factorial modulo a given number

Install or update the finite element FEMAddOns paclet

• ### FibonacciEncode

Fibonacci-digit encoding for a number

• ### FindEquationalModels

Find instances of a binary operator that satisfy equational constraints

• ### FindNestPeriod

Try to find the repetition period for nesting of a function

• ### FormatFactorization

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

• ### FourierShift

Shift the zero-frequency term to the center of the spectrum

• ### FourierShiftInverse

Invert a zero-frequency shift

• ### FractionalBrownianMotion2D

Generate a fractional Brownian surface

• ### FractionalDPolynomialRoots

Compute and visualize the roots of fractional (noninteger) derivatives of polynomials

• ### FRatioCI

Estimate the confidence interval based on an F-ratio distribution

• ### FromNegabinary

Recover an integer from negabinary representation

• ### FromTensor

Convert TensorContract expressions into an equivalent form using Dot and Tr

• ### FunctionDiscontinuities

Compute the discontinuities of a function of a single variable

• ### FunctionJectivity

Determine the injectivity and surjectivity of a function

• ### FunctionOverview

Get information about a real-valued univariate function

• ### FunctionParity

Determine the parity of a function (whether it is even or odd) with respect to one or more variables

• ### GaltonBoardModel

Model ball trajectories in a 2D Galton board using Hertzian force laws between the ball and the pegs

• ### GammaSimplify

Simplify gamma functions in expression

• ### GaussianCurvature

Compute the Gaussian curvature of a surface

Find the error in the Gaussian quadrature approximation of a function’s integral

Get a list of abscissa-weight pairs based on the Gaussian quadrature

• ### GeneralizedSmoothStep

A generalized sigmoidal interpolating polynomial

• ### 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

• ### GramianReduce

Find a unimodular conversion matrix corresponding to a lattice Gramian matrix

• ### GrayCode

Find the Gray code for an integer

• ### GrayCodeKSubsets

Get k-subsets of a given set in minimum change order

• ### GrayCodeSubsets

Get subsets of a given set in minimum change order

• ### HappyNumberQ

Test whether an integer is a happy number

• ### HasDefinitionsQ

Check if a symbol has definitions associated with it

• ### HedgesG

Computes the Hedges' g statistic measuring an "effects size" difference between two lists of data

• ### 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

• ### HessianMatrix

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

• ### HexStringToReal

Convert a hexadecimal string to a real number

• ### InactiveFactorInteger

Compute the prime factorization of an integer and return it in an inactivated form

• ### IncompletePFD

Give the incomplete partial fraction decomposition of a rational function

• ### IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

• ### InflectionPoints

Find the inflection points of a function of one variable

• ### IntegerCompositions

Generate all compositions of an integer into the specified number of parts

• ### IntegerPartitionFrequency

Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions

• ### IntegerPartitionQ

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

• ### IntegerSpectralDecomposition

Determine the spectral decomposition of an integer in a modular number system

• ### IntegralApproximationPlot

Compute and plot the approximation to the integral of a function on an interval

• ### Intercepts

Compute the intercepts of a function with the coordinate axes

• ### InterpolatingFunctionData

Extract data from an InterpolatingFunction object

• ### InterpolatingFunctionDomain

Obtain the domain of an interpolating function object

• ### IntersectionBasis

Find a basis for the intersection of subspaces of ℝ^n

• ### IntervalComplement

Calculate the complement of intervals

• ### Intrinsic3DCurve

Plot intrinsic curves in 3D

• ### InverseFibonacci

Compute the inverse Fibonacci function

• ### InverseFourierCoefficient

Find a function with a given Fourier exponential series

• ### InversionCurve

Compute the inversion of a curve

• ### InvoluteCurve

Compute the involute of a curve

• ### IrregularPeriodogram

Compute a periodogram for data from unevenly spaced intervals

• ### IteratedLog

Determine the iterated logarithm of an input

• ### JacobianDeterminant

Compute the Jacobian determinant of a vector function with respect to a list of variables

• ### JacobianMatrix

Compute the Jacobian matrix of a vector function with respect to a list of variables

• ### JacobiEpsilon

Evaluate the Jacobi epsilon function

• ### JosephusPermutation

Find the solution of the Josephus problem

• ### Kurvendiskussion

Get a dynamic plot of a univariate function along with supplemental information, known in the German language as a Kurvendiskussion

• ### LatinSquare

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

• ### LinearConstraints

Determine the consistency equations required for a system of linear equations to have a solution

• ### LinearFunctionQ

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

• ### LinearlyIndependent

Determine whether a set of vectors is linearly independent

• ### Loess

Smooth noisy data using local regression

• ### LogContract

Contracts sums of logarithms into a single logarithm

• ### Logit

The logit function from probability

• ### LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

• ### MachineIntegerQ

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

• ### MagicSquare

Get a magic square for odd dimension

• ### ManipulatePlot

Generate a plot in which the plot ranges and function parameters can be manipulated dynamically

• ### MappedTransformedDistribution

Transform a statistical distribution by applying the same function to all of its arguments

• ### MatrixPencilSolve

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

• ### MaximizeOverPermutations

Find the permutation that maximizes a function

• ### MeanCurvature

Compute the mean curvature of a surface

• ### MeanDifferenceCI

Estimate the confidence interval of the difference between the population means

• ### MeanMedianLogNormalDistribution

Create a lognormal distribution using mean and median as parameters instead of the conventional parameters

• ### MiniMaxApproximation

Find a mini-max approximation of a function

• ### MinMaxRounded

Get the minimum and maximum of a list rounded to a multiple

• ### MockTheta

Implement the Ramanujan mock theta functions

• ### ModularTessellation

Computes polygons, circles, compositions, and transformation functions for the tessellation of the upper half-plane by the modular group.

• ### Monus

Truncate negative numbers in the result of subtraction

• ### MortalityConvert

Convert vector descriptions of mortality into another representation

• ### MultiNonlinearModelFit

Fit multiple datasets with multiple expressions that share parameters

• ### 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

• ### NegativePedalCurve

Compute the negative pedal curve

Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters

• ### NeumannO

Implement the Neumann polynomials

• ### NewtonCotesError

Find the error in the Newton–Cotes quadrature formula

• ### NewtonCotesWeights

Get the abscissa–weight pairs of the elementary Newton–Cotes formula

• ### NewtonMethod

Approximate the root of a function using Newton’s method

• ### NewtonMethodPlot

Plot the function together with a graphical display of the Newton iterations approximating its root

• ### NextGrayCodeSubset

Get the successor, in Gray code order, of a given subset

• ### NextIntegerComposition

Get the next composition of an integer in canonical order

• ### NextKSubset

Get the lexicographic successor of a k-subset of a list

• ### NextLexicographicSubset

Get the next subset of a given set in lexicographic order

• ### NextPermutation

Get the next permutation in lexicographic order

• ### NFourierCoefficient

Find a numerical approximation for a Fourier exponential series coefficient of a function

• ### NFourierCosCoefficient

Find a numerical approximation for a Fourier cosine coefficient of a function

• ### 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

• ### NFourierSinCoefficient

Find a numerical approximation for a Fourier sine coefficient 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

• ### NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

• ### 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

• ### NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

• ### NLimit

Find the limiting value of an expression numerically

• ### NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

• ### NormalCI

Estimate the confidence interval based on a normal distribution

• ### NormalSurface

Compute the normal surface of a curve

• ### 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

• ### Nullity

Compute the nullity of a matrix

• ### NumericalIntegralApproximation

Determine the value of an integral using a numerical method

• ### NumericalMethodFindRoot

Find the root of an equation or number using a specified numerical method

• ### NVariationalBound

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

• ### OddFunctionQ

Determine whether an expression is an odd function of the given variable or variables

• ### OEISSequence

Return the list provided by the OEIS for a given OEIS sequence number

• ### OEISSequenceData

Access sequences and metadata from The Online Encyclopedia of Integer Sequences

• ### OrderedTupleFromIndex

Get the ordered tuple with the given index and length

• ### OrderedTupleIndex

Give the index of an ordered tuple

• ### OsculatingCircle

Get the osculating circle of a curve

• ### ParallelCurve

Compute parallel (offset) curves

• ### ParallelSurface

Compute the parallel surface of a surface

• ### PedalCurve

Compute the pedal of a curve

• ### PermutationFromIndex

Give the permutation corresponding to a given length and lexicographic index

• ### PermutationIndex

Give the lexicographic index of a permutation

• ### PivotColumns

Get the positions of the columns that are pivot columns of a matrix

• ### PlouffeP

Get the value of the Plouffe P function

• ### PolyGammaSimplify

Simplify polygamma functions in an expression

• ### PolyLogSimplify

Simplify polylogarithms in an expression

• ### PolynomialDegree

Compute the degree of a polynomial in any number of variables

• ### PolynomialHomogenize

Homogenize a polynomial with respect to a given set of variables

• ### PolynomialTotalDegree

Get the total degree of a polynomial in any number of variables

• ### PooledStandardDeviation

Compute the pooled standard deviation of multiple lists of data

• ### PooledVariance

Compute the pooled variance of multiple lists of data

• ### PopovDecomposition

Compute the Popov decomposition of a matrix of univariate polynomials

• ### PowerMean

Compute the mean of a list of numbers all taken to some power

• ### PowerTotal

Compute the total of a list of numbers all taken to some power

• ### PowerTowerMod

Give the remainder on division of a power tower expression

• ### PrimitiveRootOfUnityList

Get the set of primitive nth roots of unity

• ### ProjectOnSubspace

Project a vector onto a subspace

Represent the distribution of a quadratic form with a multivariate normal

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

Compute the quadratic residues of an integer

Compute the radial curve of a given curve

• ### RandomRealPoint

Randomly choose a point within a specified domain

• ### RatioEqual

Check if two lists are equal as ratios

• ### 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

• ### RecurringDecimalForm

Display a number in decimal form so that recurring digit sequences are highlighted and displayed only once

• ### RemoveSubintervals

Remove intervals that are wholly contained in other intervals

• ### RiemannSurfacePlot3D

Plot Riemann surfaces of compositions of elementary functions

• ### RollingCurve

Compute a rolling curve

• ### RotatedEllipseMatrix

Create a binary matrix with a rotated, ellipse-shaped region of 1s

• ### RoundedPercentageShare

Calculate rounded percentages that always sum to 100%

• ### RowSpace

Compute properties of the row space of a matrix

• ### RowSpaceBasis

Return a basis for the subspace spanned by the rows of the matrix

• ### RunCountRandomnessTest

Conduct a runs up–based randomness test on a sequence of random reals between 0 and 1

• ### RungeKuttaMethod

Solve differential equations using the Runge-Kutta method

• ### RunLengthRandomnessTest

Conduct a randomness test on a sequence of random reals between 0 and 1 using run lengths of increasing subsequences

• ### SameSpanQ

Determine whether two lists of vectors span the same subspace

• ### SecDegree

Computes the secant of an angle given in degrees

• ### SequenceToProduct

Turn a sequence of expressions into a symbolic product

• ### SequenceToSum

Turn a sequence of expressions into a symbolic sum

• ### SerialRandomnessTest

Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s

• ### SignificantDigits

Determine the number of significant digits in a number

• ### 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

Compute the sine of an angle given in degrees

• ### SmallIntegerLinearSolve

Find a small solution to a system of linear equations over the integers

• ### SmootherStep

An improved sigmoidal interpolation function

• ### SmoothStep

A sigmoidal interpolation function

• ### SpectralRandomnessTest

Use a discrete cosine transform–based method to test the randomness of a sequence of random reals

• ### 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

• ### StrictIntegerCompositions

Generate the zero-free compositions of a positive integer

• ### StudentTCI

Estimate the confidence interval based on Student t distribution

• ### SubsetFromIndex

Get the subset with the given index and length

• ### SubsetIndex

Give the index of a subset

• ### SuggestPlotRange

Get a variable range against which to plot a given function

• ### SumBasis

Find a basis for the sum of a list of subspaces of ℝ^n

• ### TanDegree

Compute the tangent of an angle given in degrees

• ### TangentDevelopableSurface

Compute the tangent developable surface of a curve

• ### TangentLine

Compute properties of the tangent line to a curve at a given point

• ### TangentPlane

Find the tangent plane of a function at a point

• ### TensorCoordinateTransform

Transform components of tensors with arbitrary rank with regard to their transformation behavior under any given mapping

• ### TensorIndexJuggling

Given a metric, convert between covariant and contravariant components of a tensor

• ### ToNegabinary

Get the negabinary representation of an integer

• ### TotalVariation

Get the total variation of a matrix

• ### ToTensor

Convert an expression involving Dot and Tr into an equivalent expression using TensorContract

• ### Trapezoid

Create quadrilateral polygon with two parallel sides

• ### TriangleEdgesQ

Test if three given lengths make a triangle

• ### TukeyMedianPolish

Find row and column effects in a data matrix by repeatedly subtracting the median

• ### TupleFromIndex

Return the tuple corresponding to a given index

• ### TupleIndex

Compute the index of a given tuple of non-negative integers

• ### TurningNumber

Compute the turning number of a curve

• ### TwoSidedPValue

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

• ### UnitMatrix

Get a matrix with a 1 in a selected position and 0s elsewhere

• ### VarianceAround

Calculate the variance of a list along with its uncertainty

• ### 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

• ### VectorSubspaceQ

Determine if the span of one list of vectors is contained in the span of a second list of vectors

• ### WishartDistribution

Represent the Wishart distribution

• ### ZeroDiagonal

Replace the diagonal of an arbitrary matrix with zeros

• ### ZetaSimplify

Simplify zeta functions in expressions