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: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: Obando/CAGenetics

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

Function Resource: NFourierCoefficient

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

Function Resource: InverseFourierCoefficient

Find a function with a given Fourier exponential series

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: NInverseFourierCoefficient

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

Function Resource: NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

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: CoefficientMap

Map a function over the coefficients of a polynomial

Function Resource: CoefficientMatrix

Returns the coefficient matrix of a system of equations

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Function Resource: FourierShift

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

Function Resource: NFourierTransform

Find a numerical approximation for a Fourier transform

Function Resource: NFourierSeries

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

Function Resource: FastFourierGraph

Create a fast Fourier transform calculation in graphical form

Function Resource: ClusteringCoefficientsByDegree

Collect the clustering coefficients of a graph by vertex degree

Function Resource: SecondFundamentalFormCoefficients

Compute the coefficients of the second fundamental form

Function Resource: NFourierTrigSeries

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

Function Resource: PolynomialRatioSeriesCoefficient

Calculate the coefficient of series P(x)/Q(x) in front of x^n, where P(x) and Q(x) are polynomials in x

Function Resource: NInverseFourierTransform

Find a numerical approximation for the inverse Fourier transform

Function Resource: FourierShiftInverse

Invert a zero-frequency shift

Function Resource: NInverseFourierSequenceTransform

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

Example Resource: Quantum Fourier Transform

Generate a QFT circuit for any number of qubits

Function Resource: NFourierSequenceTransform

Find a numerical approximation to the Fourier sequence transform

Function Resource: NInverseFourierSinTransform

Find a numerical approximation for an inverse Fourier sine transform

Function Resource: FirstFundamentalFormCoefficients

Compute the coefficients of the first fundamental form of a surface

Function Resource: OrthogonalPolynomialCoefficientConvert

Convert coefficients of a series with respect to one orthogonal polynomial basis into another

Example Resource: Discrete-Time Fourier Transform of a Moving-Average Filter

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

Function Resource: BinomialOddQ

Determine the parity of a binomial coefficient

Function Resource: EpicyclePlot

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

Function Resource: AndrewsPlot

Visualize multivariate data by projecting them on a Fourier basis

Example Resource: Use Contours to Make Hand Drawings

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

Function Resource: FussCatalanNumber

Evaluate the Fuss–Catalan number

Function Resource: TrigFit

Construct a least-squares trigonometric fit to data

Function Resource: HartleyMatrix

Generate a Hartley matrix

Function Resource: PascalsTriangle

Display a given number of rows in Pascal's triangle

Function Resource: MultivariateKurtosis

Find the kurtosis coefficient for multivariate data

Example Resource: 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

Function Resource: MoranI

Compute Moran's I spatial autocorrelation coefficient

Function Resource: TrigApproximateList

Generate a trig series that approximates a list of data

Example Resource: Spectrogram of a Synthesized Violin

Function Resource: IntraclassCorrelation

Find the intraclass correlation coefficient (ICC) of a list of lists

Function Resource: BinomialMod

Efficient computation of a binomial coefficient modulo a given number

Function Resource: ApproximatePolynomialGCD

Compute an approximate GCD to a pair of polynomials with approximate coefficients

Function Resource: StandardDragCurve

One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion

Function Resource: LeibnizHarmonicTriangle

Display a given number of rows in the Leibniz harmonic triangle

Function Resource: WaterOpticalConstants

Obtain optical constants of water valid from ultraviolet to microwave range

Function Resource: BinomialNumberSystemTriplet

Represent a non-negative integer as the sum of three binomial coefficients

Example Resource: Fisheye Effect for Audio Signals via STFT Transformation

Use the short-time Fourier transform to apply fisheye effects

Function Resource: DiscreteHilbertTransform

Compute the discrete Hilbert transform of a list

Function Resource: ParetoPrinciplePlot

Make Pareto principle adherence plots

Function Resource: FractionalBrownianMotion2D

Generate a fractional Brownian surface

Function Resource: BrioschiCurvature

Compute the Gaussian curvature for a metric

Function Resource: DiscreteHartleyTransform

Compute the discrete Hartley transform of a list

Function Resource: GraphPolynomial

Get the polynomial with coefficients giving the number of nonisomorphic graphs for a given number of vertices

Function Resource: IntegrateAlgebraic

Compute the indefinite integral of an algebraic function in terms of elementary functions

Function Resource: NSeries

Find a numerical approximation of a series expansion of a function

Function Resource: NineJSymbol

Evaluate the Wigner 9-j symbol

Function Resource: NResidue

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

Function Resource: IrregularPeriodogram

Compute a periodogram for data from unevenly spaced intervals

Paclet Resource: PeterBurbery/LinearAlgebraPaclet

A paclet for linear algebra and its applications

Function Resource: ConsistentAugmentedMatrixQ

Determine if a matrix represents a consistent system of linear equations

Function Resource: LaurentExtendedGCD

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

Function Resource: ConstantTerm

Determine the constant term in an expression

Function Resource: LinearFunctionQ

Determine whether an expression represents a linear function of a given set of variables

Function Resource: QuadraticFunctionQ

Determine whether an expression represents a quadratic function of a given set of variables

Function Resource: DiscreteHilbertTransformMatrix

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

Function Resource: BanzhafPowerIndex

Compute the strength of a voter by reference to the frequency with which their vote could change the outcome of an election

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Function Resource: WelchSpectralEstimate

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

Function Resource: FactorialSeriesExpansion

Expand a function into a factorial series

Function Resource: FCGRImage

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

Function Resource: CoordinateVector

Find the coordinate vector of a vector with respect to a basis

Function Resource: SchettPolynomial

Compute the Schett polynomial

Example Resource: Build a Vocoder Using STFT Transformations

Impose the spectral envelope of a modulator signal onto a carrier

Function Resource: ListD

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

Function Resource: SerflingFit

Fit a Serfling regression model to a dataset

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: GeneralizedFiedlerMatrix

Generate the generalized Fiedler companion matrix of a univariate polynomial

Function Resource: MercerMatrix

Generate a Mercer matrix

Function Resource: FiniteDifferenceStencil

Compute the finite difference stencil for a specified set of variables and their derivatives

Function Resource: DPSSWindow

Generate the zero-order discrete prolate spheroidal sequence window

Data Resource: Western Europe Grape Harvest

Western Europe 650 year Grape Harvest Data from 1354 to 2007

Function Resource: CompanionMatrix

Compute the Frobenius companion matrix of a polynomial

Function Resource: AcentricFactor

Estimate the acentric factor of a substance

Function Resource: PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Function Resource: TheilSenLine

Fit a line through a set of points using the Theil–Sen estimator