Wolfram Resource System

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62 items

Paclet Resource:   WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

Paclet Resource:   PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource:   KlausSutner/Automata

Automata theory package

Paclet Resource:   Bob/Games

A collection of games

Paclet Resource:   AntonAntonov/DimensionReducers

Dimension reduction algorithms

Function Resource:   ColumnSpaceBasis

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

Function Resource:   GaussianBeam

Represent a Gaussian beam and its parameters

Function Resource:   GaussianCurvature

Compute the Gaussian curvature of a surface

Function Resource:   BitStringRowReduce

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

Function Resource:   HermiteGaussianBeam

Represent a Hermite–Gaussian beam and its properties

Function Resource:   GaussianQuadratureMatrix

Symmetric tridiagonal matrix for Gaussian quadrature

Function Resource:   PivotColumns

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

Function Resource:   LaguerreGaussianBeam

Represent a Laguerre–Gaussian beam and its properties

Function Resource:   GaussianQuadratureWeights

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

Function Resource:   GaussianIntegerQ

Determine if a number is a Gaussian integer

Function Resource:   GaussianQuadratureError

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

Function Resource:   RowSpaceBasis

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

Function Resource:   GaussianHessenbergDecomposition

Compute the Gaussian Hessenberg decomposition of a matrix

Function Resource:   ModifiedGaussianQuadratureWeights

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

Function Resource:   GeneralizedGaussianQuadratureWeights

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

Function Resource:   BitStringLinearSolve

A memory efficient form of solving linear systems modulo 2

Function Resource:   PivotedLUDecomposition

Compute the LU decomposition of a matrix with different pivoting methods

Function Resource:   UpperTriangularDecomposition

Find an upper triangular form and conversion matrix for a given matrix

Function Resource:   BitStringNullSpace

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

Function Resource:   NDSolveAround

Propagate Gaussian uncertainty through NDSolve

Function Resource:   BrioschiCurvature

Compute the Gaussian curvature for a metric

Function Resource:   Excise

Remove enclosed arguments

Function Resource:   AlgebraicReplace

Replace all occurrences of an algebraic subexpression with a new symbol

Data Resource:   Sample Video: Surfing (Noisy)

Video of a person surfing with added gaussian noise

Data Resource:   Sample Video: Skating (Noisy)

Video of a person skating with added gaussian noise

Function Resource:   DixonResultant

Compute the Dixon resultant with respect to a set of polynomials and variables

Function Resource:   Discard

Eliminate elements from a list for which a given conditional is True

Function Resource:   RandomUnimodularMatrix

Return a pseudorandom unimodular matrix

Function Resource:   RayTransferMatrix

Calculate the ray transfer matrix of a Gaussian optical system

Function Resource:   IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

Function Resource:   DiagonalizeQuadratic

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

Function Resource:   QuadratureWeightsToJacobiMatrix

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

Example Resource:   Efficient Image Zooming Using Multiscale Pyramids

Create a Gaussian image pyramid for zooming into a large image

Function Resource:   NormalCurvature

Compute the normal curvature of a curve on a surface

Function Resource:   StieltjesJacobiE

Evaluate the Stieltjes-Jacobi polynomial

Example Resource:   Multiscale Image Representation with Image Pyramids

Create Gaussian and Laplacian pyramids to facilitate efficient multiscale image processing

Function Resource:   CrystalBallDistribution

Define a continuous probability distribution characterized by a Gaussian core and a power-law tail

Function Resource:   SalzerPiessensInversionWeights

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

Function Resource:   TriangularSets

Create a triangular set decomposition for a given list of polynomials and variables

Function Resource:   MultinormalKLDivergence

Compute the Kullback–Leibler divergence between two multinormal distributions

Function Resource:   HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

Example Resource:   Magnetic Potential inside an Electric Motor

Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem

Function Resource:   PrincipalCurvatures

Compute the principal curvatures of a surface

Example Resource:   Multiscale Feature Detection

Apply gradient filtering or saliency filtering to images

Example Resource:   Smooth Image Assembly using Multiscale Blending

Split and merge two images at different scales using image pyramids

Function Resource:   FocalSet

Compute the focal set of a surface

Function Resource:   QuadraticResidueAcousticDiffuser

Compute a matrix of well depth values representing a quadratic-residue diffuser

Function Resource:   QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

Function Resource:   Cyclide

Compute expressions for Dupin cyclide surfaces

Function Resource:   NormalTexture

Generate a normal texture from height data

Function Resource:   ApartAll

Compute a partial fraction decomposition over the algebraic closure of the rationals

Paclet Resource:   LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Function Resource:   TsallisEntropy

Compute the Tsallis entropy

Function Resource:   EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource:   RandomMatrix

Get a pseudorandom matrix of a given kind, type and size

Example Resource:   Interactively View Fluorescent Uptake of Cells

Segment and identify cells with more than a certain fluorescent uptake

Function Resource:   EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers