Wolfram Resource System

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Search the Wolfram Resource System

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/Patterns

Utilities for working with patterns

Paclet Resource: WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

Paclet Resource: TheRealCStover/Trigonometry

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

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/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Paclet Resource: PeterBurbery/LinearAlgebraPaclet

A paclet for linear algebra and its applications

Paclet Resource: PeterBurbery/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: Obando/CAGenetics

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

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: JaneShenGunther/TCGADataTool

TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals

Paclet Resource: Bob/Games

A collection of games

Paclet Resource: AntonAntonov/TriesWithFrequencies

Functions for creation and manipulation of tries (prefix trees) with frequencies

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: AntidiagonalTotals

Give the totals of the entries on the rising diagonals of a square matrix

Function Resource: MagicSquare

Get a magic square for any dimension

Function Resource: CompleteSquare

Algebraically rewrite an expression by completing the square

Function Resource: MultisetSum

Perform the sum operation on multisets

Function Resource: LatinSquare

Generate a matrix from a list such that no row or column contains the same element twice

Function Resource: SequenceToSum

Turn a sequence of expressions into a symbolic sum

Function Resource: SumRule

See how to apply the sum rule for derivatives

Function Resource: DurfeeSquare

Compute the side length of the Durfee square of an integer partition

Function Resource: CompleteTheSquare

Complete the square of a quadratic polynomial having any number of variables but with no mixed terms

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

Function Resource: RiemannSum

Compute information related to a Riemann sum

Function Resource: ChiSquareCI

Estimate the confidence interval based on a Chi-squared distribution

Function Resource: SumBasis

Find a basis for the sum of a list of subspaces of ℝ^n

Function Resource: DigitSum

Find the sum of digits in the positional representation of an integer

Function Resource: LeastSquaresPlot

Plot data together with a visualization of the squared errors compared to a fit

Data Resource: Minimal Inequivalent Square Tilings

A dataset of images and constraints for the minimal inequivalent square tilings, along with the allowed tiles that generate the tiling

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: SquareSpiralPoints

Get the coordinates of the points on a square spiral with sides parallel to the axes

Function Resource: InactiveSumOfPowers

Express an integer as a sum of one or more integer powers

Function Resource: ImageSquareQ

Test if a given image is square or not

Function Resource: CRVZSum

Evaluate an alternating sum using the Cohen-Rodriguez Villegas-Zagier method

Function Resource: ImageSquareDivide

Divide an image into an array of colored squares

Function Resource: FunctionRootMeanSquare

Compute the root mean square of a function

Data Resource: Sample Data: People In Gordon Square

Locations of people in Gordon Square without annotations

Function Resource: SquareZigzagPoints

Lattice points in a square in zigzag order from the bottom-left to the top-right corner

Example Resource: Finding the Square Root of 2

Find the square root of 2 by making successive guesses

Function Resource: DiagonalizeQuadratic

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

Function Resource: InactiveRiemannSumToIntegral

Determine an integral corresponding to a Riemann sum

Function Resource: PermutationSkewSum

Compute the skew sum of permutation lists

Function Resource: PermutationDirectSum

Compute the direct sum of permutation lists

Function Resource: MinSumPermutation

Find a permutation that minimizes a matrix sum

Function Resource: NearestKroneckerProductSum

Approximate a numerical matrix as sum of Kronecker products

Function Resource: LogSumExp

Numerically stable implementation of addition on log-scaled numbers

Function Resource: LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

Function Resource: OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

Function Resource: BouwkampDiagram

Convert Bouwkamp format into a diagram

Function Resource: ChiSquareMarkovChainStatistics

Calculate a chi-square statistic reflecting the homogeneity of a Markov chain's transition matrix over several time periods

Function Resource: ChiSquareRandomnessTest

Test a sequence of zeroes and ones (or a set of random reals between 0 and 1) for equidistribution and return a p-value

Function Resource: NEigenvalueSumGradient

Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters

Function Resource: IntegralApproximationPlot3D

Compute and plot an approximation to the integral of a function of two variables over a rectangle

Function Resource: FloorSqrt

Find the integer square root of a positive integer

Function Resource: RamanujanC

Evaluate Ramanujan's sum

Function Resource: RecognizeSeries

Recognize functions by their power series expansions

Function Resource: TrigFit

Construct a least-squares trigonometric fit to data

Function Resource: DiscreteIntegralPlot

Plot and find the area of a region determined by a list of points, the x axis and the type of boundary

Function Resource: NumericalIntegralApproximation

Determine the value of an integral using a numerical method

Function Resource: Polyomino

Give all the polyominoes of a specified rank

Function Resource: ReverseAccumulate

Replace each element of a list with the sum of the elements in the original list that are not to the left of that element

Function Resource: PlaneOfBestFit

Get the hyperplane that best fits a set of points

Function Resource: SequenceLimit

Numerically estimate the limit of a sequence of values

Function Resource: ComputeMatrixFunction

Compute a function of a square matrix

Data Resource: Sample Data: London Cholera

Locations of the 1854 London cholera outbreak near Golden Square

Function Resource: OrthogonalLineFit

Find the best fitting line with respect to orthogonal distance

Function Resource: SuperperfectNumberQ

Check whether a number is a superperfect number

Function Resource: PolynomialFitCurve

Polynomial fit of a given set of data, represented as a spline curve

Function Resource: SqrtSpace

Move back and forth from the squared space or square root space of an algebraic number field

Function Resource: MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

Function Resource: WeyrDecomposition

Compute the Weyr decomposition of a square matrix

Function Resource: LogarithmicNorm

Evaluate the logarithmic norm of a square matrix

Function Resource: GershgorinDisks

Show the Gershgorin disks of a square matrix

Function Resource: IntegralApproximationPlot

Compute and plot the approximation to the integral of a function on an interval

Function Resource: BakersMap

Apply baker's map on an image

Function Resource: RegressionListPlot

Display the regression line of a dataset

Function Resource: PartitionFromFrobeniusSymbol

Construct the corresponding partition, given a Frobenius symbol

Function Resource: LogContract

Contracts sums of logarithms into a single logarithm

Function Resource: Sumset

Sumset gives the sumset of a collection of sets or the h-fold sumset of a set

Data Resource: Sample Data: Beta Cells

Locations of retinal ganglia cells annotated with on/off and area (in square microns) marks

Function Resource: DisplaySudokuPuzzle

Display a square matrix in a sudoku-puzzle format

Function Resource: BialternateProduct

Calculate the bialternate product of two square matrices

Function Resource: SymmetricSort

Symmetrically reorder the rows and columns of a square matrix

Function Resource: RoundedPercentageShare

Calculate rounded percentages that always sum to 100%

Function Resource: HarshadNumberQ

Test if a number is a harshad number

Function Resource: TrimmedLinearFit

Linear model fitting discarding outliers

Function Resource: Immanant

Compute the immanant of a square matrix associated with an integer partition

Function Resource: PowerMean

Compute the mean of a list of numbers all taken to some power

Function Resource: PowerTotal

Compute the total of a list of numbers all taken to some power

Function Resource: TrendLine

Trend line of a given set of data

Function Resource: EinsteinSummation

Given tensors and their indices, sum over repeated indices

Function Resource: CurveFitReport

Display information related to fitting of a set of data

Function Resource: CurveFitOverview

Get an association of information related to fitting a set of data

Function Resource: FullQRDecomposition

Compute the full QR decomposition of a matrix

Function Resource: FrobeniusSymbolFromPartition

Get a pair of lists representing the Ferrers diagram of a partition

Example Resource: Transverse and Longitudinal Directional Planar Waves

Visualize the propagation of transverse and longitudinal directional planar waves through a square lattice

Function Resource: CUSUMMaxRandomnessTest

Conduct a cumulative sum-based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves

Function Resource: NDerivative

Find a numerical approximation to a function derivative near the specified point

Function Resource: MatrixPencilSolve

Find the null values and vectors for the pencil of a set of square matrices

Function Resource: TextToKaleidoscope

Create a square-symmetric image from a long string of text

Data Resource: The 2016 Atomic Mass Evaluation (AME2016)

Atomic mass list for analysis which contains the elements, mass excess, binding energy, beta-decay energy, atomic mass and more

Function Resource: LineFit

Fit a line to data points in n-dimensional space

Function Resource: Goldbach

Get all representations of an even integer as the sum of two primes

Function Resource: BinomialNumberSystemTriplet

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

Function Resource: NormalLaplaceDistribution

A statistical distribution for the sum of a normal and an asymmetric Laplace random variable

Function Resource: PhiNumberSystem

Get a list of powers of the golden ratio which sum to a given integer

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Function Resource: BKKRootBound

Compute the BKK bound on the number of isolated complex solutions of a square polynomial system

Function Resource: NSolveByMonodromy

Numerically solve for isolated roots of a square system of polynomial equations using monodromy

Function Resource: CenteredSimplex

Return an origin-centered simplex where the square of all edge lengths is 2

Function Resource: FindExactCover

Find row subsets of an input binary matrix that sum to 1 in each column

Function Resource: TrigContract

Attempt to express weighted sums of sines and cosines having the same period in terms of cosines alone

Function Resource: SteenrodReduce

Evaluate products and sums of monomials in the Steenrod algebra for the prime 2 written in the Serre–Cartan basis

Function Resource: ArcLengthIntegral

Generate an inactive integral or sum of integrals used for computing the arc length of an expression with given bounds

Function Resource: FerrersVennDiagram

Generate a Venn-like diagram to compare the Ferrers diagrams of two integer partitions

Function Resource: PseudoConjugatePartition

Compute the pseudo-conjugate of an integer partition

Function Resource: UlamSequence

Starting with the third term, give the least integer expressible uniquely as the sum of two distinct earlier terms

Function Resource: ZeckendorfRepresentation

Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input

Function Resource: DualZeckendorfRepresentation

Give the 0–1 list that is free of consecutive zeros and indicates the unique Fibonacci numbers that sum to the positive integer

Function Resource: RungeKuttaOrderConditions

List equations for Runge-Kutta methods

Data Resource: Gridded World Population Density

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

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: PolynomialSystemInfeasibilityCertificate

Find an independently verifiable certificate proving that a polynomial system has no solutions

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: ANOVA

Perform an analysis of variance

Function Resource: DistinctCompactBinaryHuffmanCode

Generate a tree or an association with properties for non-equivalent compact binary Huffman codes

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer

Function Resource: RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

Function Resource: DensityMatrixToStateMultipole

Represent matrix elements via density state multipoles (statistical tensors)

Function Resource: StateMultipoleToDensityMatrix

Represent state multipoles (statistical tensors) via density matrix elements

Example Resource: Generate Constants of Integration & Summation

Data Resource: Sample Data: Satellite

Classify the type of land surface of a scene photographed by the Landsat MSS satellite given four digital images of the scene taken in different spectral bands

Function Resource: DeficientNumber

Compute the nth deficient number

Function Resource: PeriodicBoxDistance

Evaluate the shortest distance between two points in a box with periodic boundary conditions

Example Resource: Ecological Alpha Diversity

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

Function Resource: JordanTotient

Evaluate Jordan's totient function

Function Resource: RealEuclideanDistance

Get the Euclidean distance between two real vectors without using absolute value

Example Resource: Highlight Edges in an Image with a Custom-Designed Differentiator FIR Filter

Build a custom differentiator filter and apply it to an image

Example Resource: Remove Noise from a Signal with a Lowpass Filter

Function Resource: LeibnizHarmonicTriangle

Display a given number of rows in the Leibniz harmonic triangle

Function Resource: NSeries

Find a numerical approximation of a series expansion of a function

Function Resource: EllipseFit

Fit an ellipse to a list of 2D points

Function Resource: HyperbolicDistance

Give the distance between two points in hyperbolic space

Paclet Resource: ZigangPan/SystemofSystems

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

Function Resource: DeBruijnNewmanH

Compute the values of the function from which the de Bruijn–Newman constant is defined

Function Resource: DiscreteDolphChebyshevWindow

Return a discrete Dolph-Chebyshev window sequence

Function Resource: ChirpFunction

Generate a swept-frequency sinusoidal function

Function Resource: DPSSWindow

Generate the zero-order discrete prolate spheroidal sequence window

Function Resource: LineIntersection

Find the intersection of two lines

Function Resource: WiggleLine

Make a line that wiggles

Function Resource: DeficientNumberQ

Check whether an input is a deficient number

Function Resource: AbundantNumberQ

Check whether an input is an abundant number

Function Resource: CircleFit

Find the best-fit circle for a set of points

Function Resource: EquationOfStateConstants

Calculate the constants associated with an equation of state

Paclet Resource: ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Function Resource: BayesianLinearRegression

Perform Bayesian linear regression with conjugate priors

Function Resource: FocalLossLayer

A NetGraph layer implementing focal loss

Function Resource: CosDiceLossLayer

A NetGraph layer implementing cos-dice loss

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource: SphereFit

Find the best-fit sphere for a set of points

Function Resource: SequenceToProduct

Turn a sequence of expressions into a symbolic product

Function Resource: PaduaInterpolation

Construct an interpolating polynomial approximation of a function using the Padua points

Function Resource: PaduaPoints

Generate Padua points for bivariate interpolation and cubature

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Function Resource: BernoulliBTree

Generate a binary tree representation of Bernoulli numbers by Woon's method

Function Resource: OrthogonalPolynomialCoefficientConvert

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

Function Resource: LInfinitySolve

Solve the linear minimax problem

Function Resource: L1Solve

Solve the linear least absolute value problem

Function Resource: IncompletePFD

Give the incomplete partial fraction decomposition of a rational function

Example Resource: Train an Age Estimation Network

Use surgery functionality to train a net from the Wolfram Neural Net Repository