Wolfram Resource System

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Search the Wolfram Resource System

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/GitLink

Integrate git functionality into the Wolfram Language

Paclet Resource: WolframExternalFunctions/GSLLink

GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language

Paclet Resource: StianRamsnes/MaXrd

Symmetry data and utilities related to crystallography and X-ray scattering

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

Paclet Resource: Obando/CAGenetics

A set of functions to manipulate the unified model of Cellular Automata

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: ArcTanIntegral

Evaluate the inverse tangent integral

Function Resource: InverseEllipticE

Evaluate the inverse function of EllipticE

Function Resource: TangentLine

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

Function Resource: ChoquetIntegral

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

Function Resource: TangentVector

Compute the tangent vector of a curve

Function Resource: ArcTanDegree

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

Function Resource: TangentPlane

Find the tangent plane of a function at a point

Function Resource: NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

Function Resource: TangentDevelopableSurface

Compute the tangent developable surface of a curve

Function Resource: CircleTangencyPoints

Find the tangency points on a circle emanating from a point

Function Resource: TangentAndNormalLine

Compute properties of the tangent and normal lines to a curve at a given point

Function Resource: InverseFibonacci

Compute the inverse Fibonacci function

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Function Resource: TridiagonalInverse

Evaluate the inverse of a tridiagonal matrix

Function Resource: ArcLengthIntegral

Generate an inactive integral or sum of integrals used for computing the arc length of an expression with given bounds

Data Resource: Integral Op-amp Model

Model of an Integral (I) controller op-amp circuit

Function Resource: InverseBoole

Inverse of the Boole function

Function Resource: DiscreteIntegralPlot

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

Function Resource: InverseFactorial

Compute the inverse factorial of a strictly positive integer by solving the gamma function for a specific value

Function Resource: IntegralApproximationPlot

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

Function Resource: ParametricSurfaceTangentPlane

Compute the tangent plane of a parametric surface

Function Resource: NumericalIntegralApproximation

Determine the value of an integral using a numerical method

Function Resource: InactiveRiemannSumToIntegral

Determine an integral corresponding to a Riemann sum

Function Resource: AreaBetweenCurvesIntegral

Compute the integral describing the area between two plane curves

Function Resource: InverseFourierCoefficient

Find a function with a given Fourier exponential series

Function Resource: InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

Paclet Resource: ZigangPan/CalculateInverse

This paclet is some basic utility functions

Function Resource: NInverseFourierTransform

Find a numerical approximation for the inverse Fourier transform

Function Resource: FourierShiftInverse

Invert a zero-frequency shift

Function Resource: InverseGrayCode

Find the integer corresponding to a given Gray code

Data Resource: Proportional-Integral-Derivative Op-amp Model

Model of a Proportional-Integral-Derivative (PID) controller op-amp circuit

Function Resource: IntegralApproximationPlot3D

Compute and plot an approximation to the integral of a function of two variables over a rectangle

Function Resource: NInverseFourierCoefficient

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

Function Resource: NInverseFourierSinTransform

Find a numerical approximation for an inverse Fourier sine transform

Function Resource: NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

Function Resource: ProductIntegrate

Evaluate the product integral of a function

Function Resource: InverseSigmaConfidenceLevel

Calculate the number of standard deviations of a normal distribution that correspond to a confidence level

Function Resource: NInverseFourierSequenceTransform

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

Function Resource: TanDegree

Compute the tangent of an angle given in degrees

Paclet Resource: WolframAlphaMath/SpecialFunctionsAndCalculus

Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more.

Paclet Resource: TheRealCStover/Trigonometry

A collection of lesser-known circular and hyperbolic trig functions and their inverses

Function Resource: EpsteinHubbellOmega

Evaluate the Epstein–Hubbell integral

Function Resource: FractionalIntegrate

Calculate fractional integrals

Function Resource: BulirschEL1

Evaluate Bulirsch's incomplete elliptic integral of the first kind

Function Resource: NielsenG

Evaluate the Nielsen function G

Function Resource: NielsenF

Evaluate the Nielsen function F

Function Resource: Unthread

A partial inverse for Thread

Function Resource: BulirschEL

Evaluate Bulirsch's general incomplete elliptic integral

Function Resource: BulirschEL3

Evaluate Bulirsch's incomplete elliptic integral of the third kind

Function Resource: BulirschEL2

Evaluate Bulirsch's incomplete elliptic integral of the second kind

Function Resource: ArcCotDegree

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

Function Resource: ArcCosDegree

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

Function Resource: ArcSinDegree

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

Function Resource: ArcSecDegree

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

Function Resource: ArcCscDegree

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

Function Resource: OsculatingCircle

Get the osculating circle of a curve

Function Resource: OsculatingPlane

Compute the osculating plane of a space curve

Function Resource: RectifyingPlane

Compute the rectifying plane of a space curve

Function Resource: BulirschCEL

Evaluate Bulirsch's general complete elliptic integral

Function Resource: LogSymmetricPolynomial

Calculate the log of an elementary symmetric polynomial

Function Resource: SalzerPiessensInversionWeights

Get a list of abscissas and weights for the numerical inverse Laplace transform

Function Resource: InversionCurve

Compute the inversion of a curve

Function Resource: RiemannSum

Compute information related to a Riemann sum

Function Resource: ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

Function Resource: NormalVector

Compute the normal vector of a curve

Function Resource: IntegrateRational

Compute the indefinite integral of a rational function

Function Resource: Erfci

Evaluate the integral of the complementary error function

Function Resource: StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

Example Resource: Ecological Alpha Diversity

Compute common measures of ecological α-diversity on a dataset of species abundance by site

Function Resource: NewtonCotesWeights

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

Function Resource: FejerQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Fejér quadrature

Function Resource: PedalSurface

Compute a pedal surface

Function Resource: Curvature

Compute the curvature of a curve

Function Resource: HeumanLambda

Evaluate the Heuman lambda function

Function Resource: PermutationInvolutionQ

Test whether a permutation equals its inverse

Function Resource: BinormalVector

Compute the binormal vector of a curve

Paclet Resource: ZigangPan/NonlinearCholeskyFactorization

Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement

Function Resource: TrigDataset

Get trigonometric datasets including closed-form values

Function Resource: QuadratureWeightsToJacobiMatrix

Recover a Jacobi matrix from a list of abscissa-weight pairs

Function Resource: FirstFundamentalFormCoefficients

Compute the coefficients of the first fundamental form of a surface

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: PerpendicularSurface

Compute the perpendicular surface of a curve

Function Resource: GaussianQuadratureError

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

Function Resource: GaussianQuadratureMatrix

Symmetric tridiagonal matrix for Gaussian quadrature

Function Resource: ClenshawCurtisQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Clenshaw-Curtis quadrature

Function Resource: NFourierTransform

Find a numerical approximation for a Fourier transform

Function Resource: IntegrateAlgebraic

Compute the indefinite integral of an algebraic function in terms of elementary functions

Function Resource: NewtonCotesError

Find the error in the Newton–Cotes quadrature formula

Function Resource: GaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Gaussian quadrature

Function Resource: InversionCount

Count the number of pairs of out-of-order elements in a permutation

Function Resource: EulerianNumber

Get the number of permutations with a given number of ascents

Function Resource: IteratedLog

Determine the iterated logarithm of an input

Function Resource: FaddeevaW

Evaluate the Faddeeva function

Function Resource: DirectedAcyclicEvaluate

Evaluate functions locally over any directed acyclic graph

Function Resource: GeometricAssertionForm

Print a human-readable form of a hypothesis in an abstract 2D geometric scene

Function Resource: DarbouxVector

Compute the Darboux vector field of a curve

Function Resource: NormalPlane

Compute the normal plane of a space curve

Function Resource: PermutationAscents

Give the indices of a permutation where there is an immediate ascent

Function Resource: Cofactor

Get a cofactor of a matrix

Function Resource: NFourierCoefficient

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

Function Resource: NFourierSeries

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

Function Resource: BinaryIteratedLog

Get the binary iterated logarithm of a positive number

Function Resource: NFourierCosTransform

Find a numerical approximation for a Fourier cosine transform

Function Resource: NFourierSinCoefficient

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

Function Resource: NFourierSinTransform

Find a numerical approximation for a Fourier sine transform

Function Resource: NFourierTrigSeries

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

Function Resource: NFourierCosCoefficient

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

Function Resource: NDerivative

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

Function Resource: SecondFundamentalFormCoefficients

Compute the coefficients of the second fundamental form

Function Resource: ClausenCl

Evaluate the Clausen function

Function Resource: NSeries

Find a numerical approximation of a series expansion of a function

Function Resource: FoxHToMeijerG

Express FoxH in terms of MeijerG whenever applicable

Function Resource: CofactorMatrix

Give the matrix of cofactors for a given input matrix

Function Resource: NResidue

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

Function Resource: ModifiedGaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature

Function Resource: MeijerGForm

Convert a mathematical expression into an equivalent expression with head MeijerG

Function Resource: FoxHForm

Convert a mathematical expression into an equivalent expression with head FoxH

Paclet Resource: ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Function Resource: FractionalOrderD

Compute the fractional derivative of an expression

Function Resource: SphericalCurve

Get curves defined over a sphere

Function Resource: Exspheres

Find the exspheres of a triangle or tetrahedron

Function Resource: FunctionJectivity

Determine the injectivity and surjectivity of a function

Function Resource: FactorialSeriesExpansion

Expand a function into a factorial series

Function Resource: KurepaK

Evaluate the Kurepa function

Function Resource: ShapeOperator

Compute the shape operator on a surface

Function Resource: LinesImage

Calculates straight lines which collectively approximate a given image

Function Resource: DiscreteHilbertTransform

Compute the discrete Hilbert transform of a list

Function Resource: JosephusPermutation

Find the solution of the Josephus problem

Paclet Resource: ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: ZigangPan/RobustBackSteppingCancellation

A few robust backstepping tools

Paclet Resource: ZigangPan/LinearSystems

This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems

Paclet Resource: ZigangPan/NonlinearSystems

This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems

Paclet Resource: ZigangPan/LinearQuadraticControl

This Paclet is for LQR, LQG, LEQG, and H-infinity Control design

Paclet Resource: ZigangPan/SystemofSystems

Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems

Function Resource: ComplementPermutation

Get the complement of a permutation

Function Resource: LinearlyConsistentQ

Determine if a linear system has a solution

Example Resource: Radon Transforms

Transform an image to appear as in a medical CT scan

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Function Resource: LoxodromeDistance

Compute the loxodrome distance between two points on a unit sphere

Function Resource: Ranking

Find the rank of each of the items in a list

Function Resource: PermutationMajorIndex

Compute the major index of a permutation

Function Resource: PermutationCountByInversions

Get the number of permutations having a specified length and number of inversions

Function Resource: TrigApproximateList

Generate a trig series that approximates a list of data

Function Resource: CarlemanMatrix

Evaluate the Carleman matrix of a function

Function Resource: DiscreteHartleyTransform

Compute the discrete Hartley transform of a list

Function Resource: FractionMod

Get a congruent integer for a given fraction and modulus

Function Resource: WeightedDistanceGraph

Given vertices, get a complete graph with edge weights equal to edge lengths

Function Resource: PercusYevickRDF

Evaluate the radial distribution function for a fluid of hard spheres

Example Resource: Multiscale Image Representation with Image Pyramids

Create Gaussian and Laplacian pyramids to facilitate efficient multiscale image processing

Function Resource: MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

Function Resource: MercerMatrix

Generate a Mercer matrix

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Function Resource: BickleyKi

Evaluate the Bickley function

Function Resource: MultinormalKLDivergence

Compute the Kullback–Leibler divergence between two multinormal distributions

Function Resource: FastFourierGraph

Create a fast Fourier transform calculation in graphical form

Example Resource: Smooth Image Assembly using Multiscale Blending

Split and merge two images at different scales using image pyramids

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource: RowSpace

Compute properties of the row space of a matrix

Function Resource: ColumnSpace

Compute properties of the column space of a matrix

Example Resource: Efficient Image Zooming Using Multiscale Pyramids

Create a Gaussian image pyramid for zooming into a large image

Example Resource: Measurement of Dye Concentration

Use a color deconvolution algorithm to separate a microscopy image of stained tissue samples

Function Resource: LinearAlgebraMod

Perform matrix operations over a finite field

Example Resource: Build a Vocoder Using STFT Transformations

Impose the spectral envelope of a modulator signal onto a carrier

Function Resource: EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Example Resource: Discrete-Time Fourier Transform of a Moving-Average Filter

Obtain and visualize the frequency response of a 2D moving-average filter

Example Resource: Use Contours to Make Hand Drawings

Create hand drawings of objects in images using Fourier of contour points

Function Resource: Nullity

Compute the nullity of a matrix

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer