Wolfram Resource System

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128 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:   StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

Function Resource:   InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

Function Resource:   ProjectionMatrix

Compute the projection matrix for a given vector space

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

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:   COVID-19 Hospital Resource Use Projections

Projected hospital resource use based on COVID-19 deaths

Function Resource:   ProjectGraphics3D

Project 3D graphics onto a plane

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:   ProjectOnSubspace

Project a vector onto a subspace

Function Resource:   LoxodromeDistance

Compute the loxodrome distance between two points on a unit sphere

Function Resource:   Unthread

A partial inverse for Thread

Function Resource:   ArcTanIntegral

Evaluate the inverse tangent integral

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:   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:   SectionPlot3D

Plot a surface together with various types of sections of the surface

Function Resource:   SectionContourPlot

Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot

Function Resource:   ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

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

Function Resource:   RhumbLineDistance

Find the distance between two geographical locations along a rhumb line

Function Resource:   ConvertECIToMSE

Find the position relative to the mean spherical Earth (MSE) for a point in the Earth-centered inertial (ECI) coordinate system

Function Resource:   RhumbLineDistanceList

Successive pairwise rhumbline distances between a list of geodetic positions

Paclet Resource:   TheRealCStover/Trigonometry

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

Function Resource:   WolframRicciCurvatureTensor

Compute projections of the Wolfram–Ricci curvature tensor of a graph and many associated properties

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:   NucleotideStaveDiagram

Generate the stave diagram corresponding to a nucleotide sequence

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:   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:   MultiPerspectiveEmbedding

Compute a 3D embedding for multiple graphs so that all pairwise distances are preserved simultaneously along various 2D projections

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

Neural Net Resource:   3D Face Alignment Net Trained on 300W Large Pose Data

Determine the 2D projection of 3D keypoints from a facial image

Paclet Resource:   ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Function Resource:   RandomMatrix

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

Data Resource:   Health Nutrition and Population Statistics

The World Bank Group (WBG) is a family of five international organizations that make leveraged loans to developing countries. It is the largest and most famous development bank in the world and is an observer at the United Nations Development Group. The World Bank's (the IBRD and IDA's) activities are focused on developing countries, in fields such as human development (e.g. education, health), agriculture and rural development (e.g. irrigation and rural services), environmental protection (e.g. pollution reduction, establishing and enforcing regulations), infrastructure (e.g. roads, urban regeneration, and electricity), large industrial construction projects, and governance (e.g. anti-corruption, legal institutions development).

Data Resource:   IMF World Economic Outlook

Selected macroeconomic data series from the International Monetary Fund

Function Resource:   SubspaceAngle

Compute the angle between two subspaces

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:   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

Function Resource:   AngleBetweenPlanes

Compute the angle between two planes in R^3

Function Resource:   PointLineDistance

Get the distance and normal line between a point and line

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

Example Resource:   Zoom in on Earthquakes

Create an interactive plot of earthquakes that occurred in the past year

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

Example Resource:   Wind Flow around the World

Construct geo stream plots of wind streamlines around the world

Function Resource:   CarlemanMatrix

Evaluate the Carleman matrix of a function

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:   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

Example Resource:   Chart the Northwest Passage

Use geomagnetic modeling to plot differences between magnetic and true north at high latitudes

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:   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:   Visualize3DView

Interactively visualize the camera setup relative to the scene and lighting of 3D graphics

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