Wolfram Resource System

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107 items

Paclet Resource:   Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource:   Wolfram/GitLink

Integrate git functionality into the Wolfram Language

Paclet Resource:   StianRamsnes/MaXrd

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

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/DimensionReducers

Dimension reduction algorithms

Paclet Resource:   AntonAntonov/DataReshapers

Data reshaping functions

Function Resource:   ArcCotDegree

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

Function Resource:   CotDegree

Compute the cotangent of an angle given in degrees

Function Resource:   InverseFibonacci

Compute the inverse Fibonacci function

Function Resource:   TridiagonalInverse

Evaluate the inverse of a tridiagonal matrix

Function Resource:   RadicalInverse

Compute the radical inverse of an integer to a given base

Function Resource:   InverseBoole

Inverse of the Boole function

Function Resource:   InverseFactorial

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

Function Resource:   InverseEllipticE

Evaluate the inverse function of EllipticE

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

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:   NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

Function Resource:   NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

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:   Unthread

A partial inverse for Thread

Function Resource:   ArcTanIntegral

Evaluate the inverse tangent integral

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:   ArcTanDegree

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

Function Resource:   InversionCurve

Compute the inversion of a curve

Function Resource:   ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

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:   SalzerPiessensInversionWeights

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

Paclet Resource:   TheRealCStover/Trigonometry

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

Function Resource:   PermutationInvolutionQ

Test whether a permutation equals its inverse

Paclet Resource:   ZigangPan/NonlinearCholeskyFactorization

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

Function Resource:   QuadratureWeightsToJacobiMatrix

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

Function Resource:   NFourierTransform

Find a numerical approximation for a Fourier transform

Function Resource:   InversionCount

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

Function Resource:   IteratedLog

Determine the iterated logarithm of an input

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:   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:   NFourierSinCoefficient

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

Function Resource:   NFourierCosCoefficient

Find a numerical approximation for a Fourier cosine coefficient of a 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

Paclet Resource:   ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Function Resource:   FunctionJectivity

Determine the injectivity and surjectivity of a function

Function Resource:   FactorialSeriesExpansion

Expand a function into a factorial series

Function Resource:   ShapeOperator

Compute the shape operator on a surface

Function Resource:   JosephusPermutation

Find the solution of the Josephus problem

Function Resource:   LinesImage

Calculates straight lines which collectively approximate a given image

Function Resource:   DiscreteHilbertTransform

Compute the discrete Hilbert transform of a list

Paclet Resource:   ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Paclet Resource:   ZigangPan/NonlinearSystems

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

Find the rank of each of the items in a list

Function Resource:   TrigApproximateList

Generate a trig series that approximates a list of data

Function Resource:   ChoquetIntegral

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

Function Resource:   DiscreteHartleyTransform

Compute the discrete Hartley transform of a list

Function Resource:   CarlemanMatrix

Evaluate the Carleman matrix of a function

Function Resource:   FractionMod

Get a congruent integer for a given fraction and modulus

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:   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:   BulirschEL1

Evaluate Bulirsch's incomplete elliptic integral of the first kind

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

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