Wolfram Resource System

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Paclet Resource: Wolfram/StylesheetTools

Utilities for creating and editing stylesheet notebooks

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/Multicomputation

Various functions for multicomputation

Paclet Resource: Wolfram/LLMFunctions

Language model and other API based machine learning functions for the WL

Paclet Resource: Wolfram/Lazy

Lazy computation

Paclet Resource: Wolfram/CodeEquivalenceUtilities

Utilities for testing code equivalence

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

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: KlausSutner/Automata

Automata theory package

Paclet Resource: KirillBelov/TelegramBot

Telegram Bot API client for the Wolfram Language

Paclet Resource: KirillBelov/Objects

Simple objects implementation

Paclet Resource: KirillBelov/ExchangeLink

Rest API and WebSocket clients for different crypto currency exchanges

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Paclet Resource: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: JaneShenGunther/TCGADataTool

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

Paclet Resource: ArmandoCruz/ZeroKnowledgeProofs

Implementation of Zero Knowledge proof interactive and non-interactive protocols

Paclet Resource: AntonAntonov/VariableImportanceByClassifiers

Variables importance determination using classifiers

Paclet Resource: AntonAntonov/TriesWithFrequencies

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

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/MonadMakers

Functions for making software monads

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/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Function Resource: RungeKuttaMethod

Solve differential equations using the Runge-Kutta method

Data Resource: The 192 Solutions of the Heun Equation

A compilation of the 192 solutions to the Heun differential equation

Function Resource: NewtonMethod

Approximate the root of a function using Newton’s method

Function Resource: NewtonMethodPlot

Plot the function together with a graphical display of the Newton iterations approximating its root

Function Resource: NewtonsMethodFindRoot

Determine the root of an equation using Newton's method

Function Resource: BisectionMethodFindRoot

Determine the root of an equation using the bisection method

Function Resource: NumericalMethodFindRoot

Find the root of an equation or number using a specified numerical method

Function Resource: SecantMethodFindRoot

Determine the root of an equation using the secant method

Function Resource: RungeKuttaDSolve

Solve differential equations using one of the Runge–Kutta or related methods

Paclet Resource: WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

Paclet Resource: AntonAntonov/SoftwareDesignMethodsWithWLBook

The book "Software Design Methods with Wolfram Language" as a paclet

Function Resource: CRVZSum

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

Function Resource: JobackEstimate

Estimate physical properties of chemicals using Joback fragmentation

Function Resource: FindMinimumPlot

Visualize the function evaluations done by FindMinimum

Function Resource: RungeKuttaOrderConditions

List equations for Runge-Kutta methods

Function Resource: PolynomialDividedDifference

Evaluate the divided difference of a polynomial

Function Resource: ButcherTrees

Get a list of the trees for any Runge-Kutta method of a given order

Function Resource: ButcherQuadratureConditions

Give the quadrature conditions for Runge-Kutta methods

Function Resource: ButcherTreeCount

Get a list of the number of Butcher trees through a given order

Function Resource: ButcherPlot

Plot order condition trees for Runge-Kutta method

Function Resource: CellularAutomataCartogram

A cellular automata method for creating cartograms

Function Resource: ButcherColumnConditions

Give the column-simplifying conditions for Runge-Kutta methods

Function Resource: ButcherRowConditions

Give the row-simplifying conditions for Runge-Kutta methods

Function Resource: ButcherTreeQ

Determine if a Butcher tree is in valid functional syntax

Example Resource: Experiment with Color Quantization and Compression with GIF Export

Use color quantization to improve image export and compare different quantization methods

Function Resource: PrimeQCertificateCheck

Test if a certificate can be used for ascertaining the primality or compositeness of a number

Function Resource: ProvablePrimeQ

Certify a number as provably prime

Function Resource: GeneralizedAkimaInterpolation

Interpolate data using Akima's method or modifications of it

Function Resource: NumericalIntegralApproximation

Determine the value of an integral using a numerical method

Function Resource: CubehelixColorFunction

Generate color functions using the "cubehelix" method

Function Resource: StauduharGaloisGroup

Use Stauduhar's method for Galois groups of polynomials

Function Resource: EgyptianFraction

Compute Egyptian fractions using different methods

Function Resource: FindRootPlot

Visualize the function evaluations done by FindRoot

Data Resource: Job Training Efficacy

Data examining the efficacy of job training programs on increasing earnings

Function Resource: PriorityQueue

Provide a priority queue data structure with its standard operations

Function Resource: FEMAddOnsInstall

Install or update the finite element FEMAddOns paclet

Function Resource: FaustGrayscaleConvert

Convert a color or an image to grayscale using Faust's method

Function Resource: NumberExpansion

Express a number as an expansion using any of several methods

Function Resource: PivotedLUDecomposition

Compute the LU decomposition of a matrix with different pivoting methods

Function Resource: ButcherTreeSimplify

Get the butcher trees through a given order that are not reduced by Butcher’s quadrature or row- or column-simplifying conditions

Function Resource: FrobeniusDSolve

Compute an approximate Frobenius or power series solution to an ODE

Function Resource: ButcherPrincipalError

Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods

Function Resource: FrobeniusPiecewiseDSolve

Obtain an approximate solution to an ODE using the piecewise Frobenius method

Function Resource: BernoulliBTree

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

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Example Resource: PDE over a 3D Space Shuttle Region

Apply Finite Element method to solve PDEs over a 3D space shuttle region and visualize solutions

Function Resource: ButcherPhi

Compute the weight of a Butcher tree

Function Resource: IntegratePFD

Integrate a rational function using partial fraction decomposition

Function Resource: MergeFindSet

Provide a merge-find set data structure with standard operations

Data Resource: Sample Data: Toronto Murders

Locations of murders in Toronto annotated with marks including victim age, victim sex, type, murder method, and year

Function Resource: ModularTessellation

Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group

Function Resource: MultidimensionalScaling

Reduce a matrix of real values to low dimension using the principal coordinates analysis method

Function Resource: BresenhamPoints

Calculate integer 2D point locations along a line using Bresenham's method

Function Resource: MetropolisHastingsSequence

Generate a sequence of values using the Metropolis–Hastings Markov chain Monte Carlo method

Function Resource: SpectralRandomnessTest

Use a discrete cosine transform–based method to test the randomness of a sequence of random reals

Function Resource: MonteCarloSample

Sample from a probability density function using the Markov chain Monte Carlo (MCMC) method

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Example Resource: Solve a Nonlinear Model of Fluid Flow

Model the time-dependent flow around a cylinder with the transient Navier–Stokes equation

Function Resource: IrregularPeriodogram

Compute a periodogram for data from unevenly spaced intervals

Function Resource: TriangularSets

Create a triangular set decomposition for a given list of polynomials and variables

Data Resource: Sample Data: Guinea Pig Tooth Growth

Data on the length of odontoblasts (teeth) for 10 guinea pigs measured at each of three dose levels of Vitamin C with each of two delivery methods.

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Example Resource: Magnetic Potential inside an Electric Motor

Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem

Example Resource: Cooling Effect of a Duct with a Cooling Liquid

Neumann heat flux values prescribe the flux over the boundary edge of an axisymmetric cross section of a pipe

Example Resource: Model Energy Transport Dynamics

Solve Navier-Stokes equations coupled with a heat transfer equation over a rectangular region with cutout

Function Resource: PseudoQuotientRemainder

Compute the pseudoquotient and pseudoremainder with respect to a given variable for a pair of polynomials

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

Data Resource: Sample Data: Larynx Cancer

The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.

Data Resource: Sample Data: Channing House

The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.

Example Resource: Transient Gray–Scott Model

Animate a solution to reaction diffusion equations over a disk

Example Resource: Transient Landau–Ginzburg Model

Create a density plot of a solution to the equations on a mesh

Function Resource: ButcherTreeData

Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings

Example Resource: Modes of a Pentagon Drum

Compute and plot eigenmodes of a polygon drum

Example Resource: Schrödinger Equation for the Linear Harmonic Oscillator

Find the first few eigenvalues and eigenfunctions

Data Resource: Cunningham Number Factorizations

Numbers of the form b^n-1 and b^n+1 are factored for small prime bases b={2,3,5,7}

Data Resource: Low Income Housing Tax Credit Properties

HUD's PD&R (Office of Policy Development and Research) is responsible for maintaining current information on housing needs, market conditions, and existing programs, as well as conducting research on priority housing and community development issues. The Office provides reliable and objective data and analysis to help inform policy decisions. PD&R is committed to involving a greater diversity of perspectives, methods, and researchers in HUD research.

Data Resource: Public Housing Developments 2015

HUD's PD&R (Office of Policy Development and Research) is responsible for maintaining current information on housing needs, market conditions, and existing programs, as well as conducting research on priority housing and community development issues. The Office provides reliable and objective data and analysis to help inform policy decisions. PD&R is committed to involving a greater diversity of perspectives, methods, and researchers in HUD research.

Data Resource: Community Development Block Grant Activity by Tract

HUD's PD&R (Office of Policy Development and Research) is responsible for maintaining current information on housing needs, market conditions, and existing programs, as well as conducting research on priority housing and community development issues. The Office provides reliable and objective data and analysis to help inform policy decisions. PD&R is committed to involving a greater diversity of perspectives, methods, and researchers in HUD research.

Example Resource: Fokker–Planck Mass Transport Model

Example Resource: Solute Diffusion under Centrifugation

Model the Lamm equation in a sector of a disk

Example Resource: Smoluchowski Diffusion Equation

Model diffusion with a conservative mass transport equation

Example Resource: Numeric Cyclic Voltammetry

Solve a coupled reaction model

Example Resource: Solve Poisson's Equation Over an Interactively Changing Region

Manipulate the boundary conditions interactively for a solution to Poisson's equation over a rectangle

Example Resource: Numerical Solution to the Telegraph Equation in 1D

Neural Net Resource: BLIP Image-Text Matching Nets Trained on Captioning Datasets

Find the similarity score between a text and an image

Example Resource: Solve PDEs with Events over Regions

Model thermostat-controlled heat generation in a room with three insulated walls and a glass front

Data Resource: Kepler-11 Light Curve Data

Light curve data for planetary system Kepler-11

Neural Net Resource: GloVe 50-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Neural Net Resource: GloVe 100-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Neural Net Resource: GloVe 300-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Neural Net Resource: GloVe 300-Dimensional Word Vectors Trained on Common Crawl 42B

Represent words as vectors

Neural Net Resource: GloVe 300-Dimensional Word Vectors Trained on Common Crawl 840B

Represent words as vectors

Neural Net Resource: GloVe 200-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: GloVe 25-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: GloVe 100-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: GloVe 50-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: Colorful Image Colorization Trained on ImageNet Competition Data

Colorize a grayscale image

Neural Net Resource: Pix2pix Photo-to-Street-Map Translation

Generate a street map from a satellite photo

Neural Net Resource: Pix2pix Street-Map-to-Photo Translation

Generate a satellite photo from a street map

Neural Net Resource: BPEmb Subword Embeddings Trained on Wikipedia Data

Represent words or subwords as vectors

Neural Net Resource: PANet Text Detector Trained on ICDAR-2015 and CTW1500 Data

Detect and localize text in an image

Data Resource: Stanford Dragon

3D model of the Stanford Dragon

Data Resource: Stanford Happy Buddha

3D model of the Stanford Happy Buddha

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Neural Net Resource: EfficientNet Trained on ImageNet

Identify the main object in an image

Data Resource: Tank Turret Model

Model of a tank's turret

Example Resource: Temperature Variability at a Given Location

Explore a time series of quantity-valued data

Neural Net Resource: CenterNet Trained on MS-COCO Data

Detect and localize objects in an image

Neural Net Resource: BLIP Visual Question Answering Nets Trained on VQA Data

Generate an answer to a question given an image

Data Resource: Two-link Robot Model

A model of a two-link robot

Neural Net Resource: BLIP Image Captioning Nets Trained on MS-COCO Data

Generate a textual description of an image

Data Resource: Magorrian Relation in Astrophysics

Relationship between the mass of a black hole and galaxy bulge velocity dispersion

Data Resource: Sample Data: Waterstriders 1

Locations of waterstrider larvae

Data Resource: Sample Data: Waterstriders 3

Locations of waterstrider larvae

Data Resource: Sample Data: Waterstriders 2

Locations of waterstrider larvae

Function Resource: RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

Data Resource: Sample Data: NZ Trees

Locations of New Zealand trees without annotations

Neural Net Resource: OpenCLIP Multi-domain Feature Extractor Trained on DataComp-1B Data

Represent words and images as vectors

Function Resource: NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

Data Resource: Sample Data: Car Stopping Distances

Data on the relation between the speed of the car and the distance for the car to stop.

Data Resource: SQuAD v1.1 Tokens Generated with WL

A list of isolated words and symbols from the SQuAD dataset, which consists of a set of Wikipedia articles labeled for question answering and reading comprehension

Data Resource: SQuAD v1.1

A dataset for question answering and reading comprehension from a set of Wikipedia articles

Function Resource: Sumset

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

Data Resource: Sample Data: Ozone Concentrations

Daily maximum ozone concentrations at Stamford, Connecticut and Yonkers, New York, during the period May 1, 1974 to September 30, 1974, recorded in parts per billion (ppb).

Data Resource: Sample Data: Singer Heights

Heights in inches of the singers in the New York Choral Society in 1979 grouped by their voice parts.

Data Resource: Sample Data: Rainfall Seeding

Rainfall in acre-feet from 52 clouds, of which 26 were chosen randomly and seeded with silver oxide.

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: OrthogonalPolynomialDividedDifference

Evaluate the divided difference of a finite orthogonal polynomial series

Function Resource: RandomUnitVector

Generate random vectors in any dimension of unit length

Function Resource: ColoredNoise

Create an array with a specified slope in the power spectral density

Data Resource: Ball and Beam Model

Model of a ball and beam system

Function Resource: PolygonNormalVector

Compute the normal vector to a 3D polygon

Function Resource: PolynomialApproximation

Approximate a function with a polynomial

Function Resource: FCGRImage

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

Function Resource: ThieleExpansion

Expand a function into a Thiele continued fraction

Function Resource: PeptideHydropathyPlot

Generate the hydropathy plot of a peptide sequence

Data Resource: Sample Data: Lansing Woods

Locations of trees in Lansing Woods annotated with species marks

Function Resource: WelchSpectralEstimate

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

Function Resource: NucleotideStaveDiagram

Generate the stave diagram corresponding to a nucleotide sequence

Function Resource: GaussianQuadratureError

Find the error in the Gaussian quadrature approximation of a function’s integral

Function Resource: TupperDecipher

Decrypt with Tupper’s self-referential formula

Function Resource: BootstrappedEstimate

Perform bootstrapping of an estimator on some data

Function Resource: TupperCipher

Encrypt with Tupper’s self-referential formula

Function Resource: AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

Function Resource: MandelbrotMatrix

Construct a matrix whose eigenvalues lie on the Mandelbrot set boundary

Function Resource: GramP

Evaluate the Gram polynomial

Function Resource: QLearningLQRegulator

Compute the LQ regulator using Q-learning

Data Resource: Sample Data: Esophageal Cancer

Case­control study of esophageal cancer in Ile­et­Vilaine

Function Resource: TransfiniteInterpolation

Transfinite interpolation of functions representing boundary curves of a surface

Function Resource: HuffmanTree

Find a Huffman tree encoding from an input string

Function Resource: AkimaSpline

Smooth curve interpolation based on local procedures for a multiple-valued curve

Function Resource: MatrixNorm

Estimate the Hölder p-norm of a numerical matrix

Function Resource: FrobeniusPiecewiseDSolveFormula

An auxiliary function for the resource function FrobeniusPiecewiseDSolve

Function Resource: SubspaceAngle

Compute the angle between two subspaces

Function Resource: HeatIndex

Get the human-perceived temperature using air temperature and relative humidity

Function Resource: NetworkBasedInferenceScore

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

Function Resource: LinearAlgebraMod

Perform matrix operations over a finite field

Function Resource: BioMoleculePlot3D

Visualize the 3D structure of biomolecules

Function Resource: TheilSenLine

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

Function Resource: MannKendallZ

Compute the z-statistic for the Mann-Kendall test

Function Resource: SymmetricKroneckerProduct

Calculate the symmetric Kronecker product of two matrices

Function Resource: MultisetDiceDissimilarity

Compute the Dice dissimilarity of two multisets

Function Resource: KhatriRaoProduct

Evaluate the Khatri-Rao product of matrices

Function Resource: NewtonCompanionMatrix

Generate the companion matrix for the Newton interpolating polynomial of a given set of points

Function Resource: CubicMonotonicInterpolation

Interpolate data with a monotonic piecewise cubic Hermite interpolant

Function Resource: ChiSquareMarkovChainStatistics

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

Function Resource: IntegrateAlgebraic

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

Function Resource: EpidemicModel

Generate an interactive tool for visualizing various compartment-based epidemiological models

Function Resource: DixonResultant

Compute the Dixon resultant with respect to a set of polynomials and variables

Function Resource: IteratedMap2D

Obtain the orbit of a 2D iterated map from given initial conditions

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: DVectorField

Generate the tensor associated with the nth derivative of a vector field at a point