Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

  Wolfram/GitLink

Integrate git functionality into the Wolfram Language

  StianRamsnes/MaXrd

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

  PeterBurbery/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

  Obando/CAGenetics

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

  LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

  KlausSutner/Automata

Automata theory package

  AntonAntonov/DimensionReducers

Dimension reduction algorithms

  AntonAntonov/DataReshapers

Data reshaping functions

  InverseFourierCoefficient

Find a function with a given Fourier exponential series

  NInverseFourierTransform

Find a numerical approximation for the inverse Fourier transform

  FourierShiftInverse

Invert a zero-frequency shift

  NInverseFourierCoefficient

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

  NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

  NInverseFourierSinTransform

Find a numerical approximation for an inverse Fourier sine transform

  NInverseFourierSequenceTransform

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

  NFourierTransform

Find a numerical approximation for a Fourier transform

  NFourierSeries

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

  NFourierCoefficient

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

  NFourierCosTransform

Find a numerical approximation for a Fourier cosine transform

  NFourierSinTransform

Find a numerical approximation for a Fourier sine transform

  NFourierSinCoefficient

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

  NFourierCosCoefficient

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

  NFourierTrigSeries

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

  SymbolicFourier

A symbolic version of the Fourier function

  InverseFibonacci

Compute the inverse Fibonacci function

  TridiagonalInverse

Evaluate the inverse of a tridiagonal matrix

  RadicalInverse

Compute the radical inverse of an integer to a given base

  FastFourierGraph

Create a fast Fourier transform calculation in graphical form

  InverseBoole

Inverse of the Boole function

  FourierShift

Shift the zero-frequency term to the center of the spectrum

  InverseFactorial

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

  InverseEllipticE

Evaluate the inverse function of EllipticE

  Quantum Fourier Transform

Generate a QFT circuit for any number of qubits

  NFourierSequenceTransform

Find a numerical approximation to the Fourier sequence transform

  InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

  ZigangPan/CalculateInverse

This paclet is some basic utility functions

  InverseGrayCode

Find the integer corresponding to a given Gray code

  NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

  InverseSigmaConfidenceLevel

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

  NSeries

Find a numerical approximation of a series expansion of a function

  Discrete-Time Fourier Transform of a Moving-Average Filter

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

  NResidue

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

  Unthread

A partial inverse for Thread

  ArcTanIntegral

Evaluate the inverse tangent integral

  ArcCotDegree

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

  ArcCosDegree

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

  ArcSinDegree

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

  ArcSecDegree

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

  ArcCscDegree

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

  Use Contours to Make Hand Drawings

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

  ArcTanDegree

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

  EpicyclePlot

Plot the composition of cycles having different radii, frequencies and phases

  AndrewsPlot

Visualize multivariate data by projecting them on a Fourier basis

  InversionCurve

Compute the inversion of a curve

  TrigFit

Construct a least-squares trigonometric fit to data

  TrigApproximateList

Generate a trig series that approximates a list of data

  HartleyMatrix

Generate a Hartley matrix

  ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

  StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

  DiscreteHilbertTransform

Compute the discrete Hilbert transform of a list

  Ecological Alpha Diversity

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

  Chirp Z Transform of a Moving-Average Filter

Compute and visualize the magnitude and path of a chirp Z transform of a moving-average filter

  SalzerPiessensInversionWeights

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

  TheRealCStover/Trigonometry

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

  PermutationInvolutionQ

Test whether a permutation equals its inverse

  ZigangPan/NonlinearCholeskyFactorization

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

  Spectrogram of a Synthesized Violin

  DiscreteHartleyTransform

Compute the discrete Hartley transform of a list

  QuadratureWeightsToJacobiMatrix

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

  Fisheye Effect for Audio Signals via STFT Transformation

Use the short-time Fourier transform to apply fisheye effects

  InversionCount

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

  FractionalBrownianMotion2D

Generate a fractional Brownian surface

  IteratedLog

Determine the iterated logarithm of an input

  Cofactor

Get a cofactor of a matrix

  BinaryIteratedLog

Get the binary iterated logarithm of a positive number

  FoxHToMeijerG

Express FoxH in terms of MeijerG whenever applicable

  IrregularPeriodogram

Compute a periodogram for data from unevenly spaced intervals

  CofactorMatrix

Give the matrix of cofactors for a given input matrix

  ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

  NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

  MercerMatrix

Generate a Mercer matrix

  Build a Vocoder Using STFT Transformations

Impose the spectral envelope of a modulator signal onto a carrier

  FunctionJectivity

Determine the injectivity and surjectivity of a function

  DiscreteHilbertTransformMatrix

Generate a matrix that arises in the computation of the discrete Hilbert transform

  FactorialSeriesExpansion

Expand a function into a factorial series

  WelchSpectralEstimate

Fast numerical estimation of the power spectral density or the cross spectral density

  ShapeOperator

Compute the shape operator on a surface

  LinesImage

Calculates straight lines which collectively approximate a given image

  JosephusPermutation

Find the solution of the Josephus problem

  FCGRImage

Produce a frequency chaos game representation image from a string of nucleotides

  ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

  ZigangPan/NonlinearSystems

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

  PeterBurbery/BooleanLogic

Work with logical functions and boolean values

  ZigangPan/RobustBackSteppingCancellation

A few robust backstepping tools

  ZigangPan/LinearSystems

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

  ZigangPan/LinearQuadraticControl

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

  ZigangPan/SystemofSystems

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

  ListD

Find the numerical derivative of a list of values or pairs of values

  ComplementPermutation

Get the complement of a permutation

  LinearlyConsistentQ

Determine if a linear system has a solution

  PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

  Radon Transforms

Transform an image to appear as in a medical CT scan

  LoxodromeDistance

Compute the loxodrome distance between two points on a unit sphere

  LaurentExtendedGCD

Compute the GCD and successive quotients for a pair of Laurent polynomials

  Ranking

Find the rank of each of the items in a list

  PermutationMajorIndex

Compute the major index of a permutation

  PermutationCountByInversions

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

  CarlemanMatrix

Evaluate the Carleman matrix of a function

  ChoquetIntegral

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

  FractionMod

Get a congruent integer for a given fraction and modulus

  DPSSWindow

Generate the zero-order discrete prolate spheroidal sequence window

  Multiscale Image Representation with Image Pyramids

Create Gaussian and Laplacian pyramids to facilitate efficient multiscale image processing

  MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

  MultinormalKLDivergence

Compute the Kullback–Leibler divergence between two multinormal distributions

  PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

  Smooth Image Assembly using Multiscale Blending

Split and merge two images at different scales using image pyramids

  BulirschEL1

Evaluate Bulirsch's incomplete elliptic integral of the first kind

  ProjectionMatrix

Compute the projection matrix for a given vector space

  RowSpace

Compute properties of the row space of a matrix

  ColumnSpace

Compute properties of the column space of a matrix

  Efficient Image Zooming Using Multiscale Pyramids

Create a Gaussian image pyramid for zooming into a large image

  Measurement of Dye Concentration

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

  LinearAlgebraMod

Perform matrix operations over a finite field

  Nullity

Compute the nullity of a matrix

  QuadraticResidues

Compute the quadratic residues of an integer