Wolfram Resource System

Search the Wolfram Resource System

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: WolframChemistry/ProteinVisualization

Functions for protein visualizations

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

Paclet Resource: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

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/MosaicPlot

Mosaic plots for datasets and lists of records

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: 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: InverseFibonacci

Compute the inverse Fibonacci function

Function Resource: CosDegree

Compute the cosine of an angle given in degrees

Function Resource: SecDegree

Computes the secant of an angle given in degrees

Function Resource: TanDegree

Compute the tangent of an angle given in degrees

Function Resource: CscDegree

Compute the cosecant of an angle given in degrees

Function Resource: SinDegree

Compute the sine of an angle given in degrees

Function Resource: TridiagonalInverse

Evaluate the inverse of a tridiagonal matrix

Function Resource: RootDegree

Get the polynomial degree of an algebraic number

Function Resource: PolynomialDegree

Compute the degree of a polynomial in any number of variables

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: PolynomialTotalDegree

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

Function Resource: InverseEllipticE

Evaluate the inverse function of EllipticE

Function Resource: InverseFourierCoefficient

Find a function with a given Fourier exponential series

Function Resource: ClusteringCoefficientsByDegree

Collect the clustering coefficients of a graph by vertex degree

Function Resource: SupplementaryAngleDegree

Compute the geometric supplement to a given angle using degrees

Function Resource: ComplementaryAngleDegree

Compute the geometric complement to a given angle using degrees

Function Resource: ReferenceAngleDegree

Compute the reference angle to a given input angle using degrees

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: VertexDegreeRelativeFrequencies

Relative frequencies of VertexDegree in a graph

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

Paclet Resource: TheRealCStover/Trigonometry

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

Function Resource: Protractor

Generate a graphical representation of a protractor

Function Resource: Unthread

A partial inverse for Thread

Function Resource: ArcTanIntegral

Evaluate the inverse tangent integral

Function Resource: SolutionSugarContentConvert

Convert among various units of density of aqueous solutions related to sweetness

Function Resource: GraphIsolates

List the isolates in a graph

Data Resource: 2 DOF Helicopter Model

A model of a helicopter with two degrees of freedom (2 DOF)

Function Resource: GraphRemoveLooseEnds

Remove low-valence vertices in a graph

Function Resource: InversionCurve

Compute the inversion of a curve

Function Resource: ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

Prompt Resource: HumanNetworkConnection

Find the connection between two people

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

Function Resource: RegularGraphQ

Return True if a graph is regular

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

Paclet Resource: ZigangPan/NonlinearSystems

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

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: GeneralizedDMSString

Convert an angle into a customizable degree-minute-second string

Function Resource: MultivariateTaylorPolynomial

Generate a multivariate Taylor polynomial of a given total degree

Paclet Resource: ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Function Resource: InversionCount

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

Data Resource: Sample Data: US City Temperature

Average monthly temperatures in degrees Fahrenheit, from January 1964 to December 1973 in 3 different US cities

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: ClickPoincarePlot2D

Create an interactive view of Poincaré sections of a two-degree-of-freedom Hamiltonian system

Function Resource: QuadricSurfacePlot

Classify and plot any polynomial of degree two or less in three or fewer variables

Function Resource: ConicSectionPlot

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

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/SystemofSystems

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

Paclet Resource: ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Paclet Resource: ZigangPan/LinearSystems

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

Data Resource: Gridded World Population Density

UN-adjusted gridded world population density for the years 2000, 2005, 2010, and 2015

Data Resource: Path of the Total Solar Eclipse of August 21st, 2017

Dataset of the Path of the Total Solar Eclipse of August 21st, 2017

Function Resource: EdgeMultiplicity

Count the multiplicity of edges in a graph

Function Resource: FunctionJectivity

Determine the injectivity and surjectivity of a function

Function Resource: ReferenceAngle

Compute the reference angle to a given input angle

Function Resource: ComplementaryAngle

Compute the geometric complement to a given angle

Function Resource: SupplementaryAngle

Compute the geometric supplement to a given angle

Function Resource: GeneralizedAkimaInterpolation

Interpolate data using Akima's method or modifications of it

Function Resource: FactorialSeriesExpansion

Expand a function into a factorial series

Function Resource: RegularHyperbolicTilingGraph

Create a graph of a regular hyperbolic tiling

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: HypergraphNeighborhoodVolumes

Find the volumes of successively larger neighborhoods around nodes in a hypergraph

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: ZigangPan/RobustBackSteppingCancellation

A few robust backstepping tools

Paclet Resource: ZigangPan/LinearQuadraticControl

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

Function Resource: ComplementPermutation

Get the complement of a permutation

Function Resource: LinearlyConsistentQ

Determine if a linear system has a solution

Function Resource: CompassPoint

Returns a string with the closest (inter)cardinal direction

Function Resource: HumanProteinInteractionNetwork

Generate a graph of a specific portion of the human protein-protein interaction network for a gene

Function Resource: NetworkBasedInferenceScore

Calculate the network-based inference (NBI) connection score between two vertices in a bipartite graph

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: SemiEulerianGraphQ

Test if a connected undirected graph is semi-Eulerian

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: 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

Function Resource: ZolotarevZ

Evaluate the Zolotarev polynomial

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: FullBSplineCurve

Modify a BSplineCurve object to have explicit settings for certain options

Function Resource: TrigDataset

Get trigonometric datasets including closed-form values

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