Wolfram Resource System

Search the Wolfram Resource System

Search the Wolfram Resource System

Paclet Resource: Wolfram/StylesheetTools

Utilities for creating and editing stylesheet notebooks

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/Patterns

Utilities for working with patterns

Paclet Resource: Wolfram/PacletCICD

Continuous integration and deployment for Wolfram Language paclets

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: WolframExternalFunctions/GSLLink

GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language

Paclet Resource: Wolfram/CommandLineParser

Parser for command line arguments

Paclet Resource: Wolfram/CodeEquivalenceUtilities

Utilities for testing code equivalence

Paclet Resource: WolframChemistry/Selfies

SELF-referencIng Embedded Strings

Paclet Resource: WolframChemistry/ProteinVisualization

Functions for protein visualizations

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

Paclet Resource: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource: Wolfram/ChatGPTPluginKit

Build plugins for ChatGPT in just a few lines

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: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

Paclet Resource: Strangeworks/Strangeworks

Allows Wolfram Mathematica users to submit quantum circuits to quantum hardware through the Strangeworks platform

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RohanMehta/OpenChemicalSystems

Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

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/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: NiiloKantoniemi/EnergySystem

Renewable Energy System Modelling

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Paclet Resource: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: JanM/Dixon

The Dixon elliptic functions in Mathematica

Paclet Resource: JaneShenGunther/TCGADataTool

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

Paclet Resource: FaizonZaman/LexicalCases

Extract lexical patterns from text

Paclet Resource: DanielS/Wireworld

Explore the Wireworld Turing-complete cellular automaton

Paclet Resource: ChristopherWolfram/OpenAILink

GPT, DALL-E, and more through the OpenAI API

Paclet Resource: ChristopherWolfram/CuneiformTools

[EXPERIMENTAL] Tools for cuneiform data retrieval

Paclet Resource: BradleyAshby/NotebookWorkspaces

Workspaces for auto-saving and quickly switching between sets of notebooks

Paclet Resource: Bob/Games

A collection of games

Paclet Resource: Bob/BaseballReferenceData

Import data from baseball-reference.com

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/OpenAIMode

Notebook style with cells for execution of OpenAI commands

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

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/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Paclet Resource: AntonAntonov/FunctionalParsers

Functional parsers

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Function Resource: BitStringNullSpace

A memory efficient form of computing the null space of a matrix modulo 2

Function Resource: BitStringLinearSolve

A memory efficient form of solving linear systems modulo 2

Function Resource: BitStringRowReduce

A memory efficient form of Gaussian elimination to row echelon form modulo 2

Data Resource: Space Shuttle

3D model of a space shuttle

Function Resource: SqrtSpace

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

Function Resource: RowSpace

Compute properties of the row space of a matrix

Function Resource: ColumnSpace

Compute properties of the column space of a matrix

Function Resource: ColumnSpaceBasis

Return a basis for the subspace spanned by the columns of a matrix

Function Resource: RowSpaceBasis

Return a basis for the subspace spanned by the rows of the matrix

Example Resource: Control a 2-DOF Helicopter Model

Model the pitch and yaw dynamics of a helicopter and stabilize them with respect to disturbances

Function Resource: SpaceWeatherData

Get time-dependent data for a variety of space weather properties

Function Resource: DeepSpaceNetData

Get live status information from the antennas in NASA's Deep Space Network

Function Resource: LinearlyIndependent

Determine whether a set of vectors is linearly independent

Data Resource: Space Shuttle 3D Model

3D test model of a space shuttle

Prompt Resource: R2D2

This is the AI you are looking for

Function Resource: BulirschEL2

Evaluate Bulirsch's incomplete elliptic integral of the second kind

Function Resource: LinearSolveModIntegers

Solve rational linear system modulo the integers

Function Resource: ConvexLayers2D

Calculate the convex layers of a set of 2D points

Function Resource: IteratedMap2D

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

Function Resource: LorentzCoordinate2D

Generate the spatial and temporal coordinate information of a Lorentz-boosted causal graph

Example Resource: SARS-CoV-2 Protein Ribbon Diagrams

Function Resource: Nullity

Compute the nullity of a matrix

Function Resource: Triangle3DTo2D

Given a 3D triangle, return an equivalent 2D triangle along with a transformation function

Example Resource: Compare Color Sets and Color Spaces

Look at color sets based on their spectral colors and the fraction each occupies in different color spaces

Function Resource: Equisample

Sample evenly spaced elements from a list

Function Resource: ClickRecurrenceMap2D

Get the orbits of a planar map in an interactive way using a clickable panel

Function Resource: ClickPoincarePlot2D

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

Function Resource: FractionalBrownianMotion2D

Generate a fractional Brownian surface

Data Resource: 2 DOF Helicopter Model

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

Function Resource: MatrixPencilSolve

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

Function Resource: Cos2PiOverFermatPrime

Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss

Example Resource: Feature Space Plot of Animal Sounds

Example Resource: Finding the Square Root of 2

Find the square root of 2 by making successive guesses

Function Resource: RYBColor

Define a color using red, yellow and blue (RYB) values

Function Resource: FactorialMod

Fast factorial modulo a given number

Function Resource: IntersectionBasis

Find a basis for the intersection of subspaces of ℝ^n

Data Resource: Fireballs and Bolides

Data on several of the brightest fireballs and bolides that were detected from 2009-2015 by U.S. Government sensors

Data Resource: Mauna Loa Weekly Atmospheric CO2 Concentration

Atmospheric CO2 concentration from continuous air samples at Mauna Loa Observatory

Function Resource: BacktrackSearch

Solve computational problems using a generic backtracking algorithm

Function Resource: CoordinateVector

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

Data Resource: Near-Earth Comets

J2000 heliocentric ecliptic orbital elements of 160 Near-Earth Comets

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

Data Resource: Sample Data: Waterstriders 2

Locations of waterstrider larvae

Data Resource: Famous 2D Cellular Automata

Well-known 2D cellular automata are listed, such as Conway’s Game of Life

Data Resource: Meteorite Landings

This comprehensive data set from The Meteoritical Society contains information on all of the known meteorite landings.

Function Resource: PermutationInvolutionQ

Test whether a permutation equals its inverse

Function Resource: CaliforniaCOVID19Data

Generate datasets from California COVID-19 data released by the State of California

Data Resource: Gliders in 2D Cellular Automata

A 2D cellular automaton glider compilation by David Eppstein

Function Resource: SquareZigzagPoints

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

Function Resource: BinomialMod

Efficient computation of a binomial coefficient modulo a given number

Function Resource: ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

Data Resource: Second DIMACS Brockington Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 2-Fat Ring Graph with 200 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 2-Fat Ring Graph with 500 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: BranchialHypergraph

Compute the branchial hypergraph of a graph

Function Resource: IrreducibleBinaryCompositions

List all irreducible binary compositions for a set of chosen symbols and a chosen simplification rule

Neural Net Resource: YOLOR Trained on MS-COCO Data

Detect and localize objects in an image

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Paclet Resource: Obando/CAGenetics

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

Neural Net Resource: Deep Speech 2 Trained on Baidu English Data

Transcribe an English-language audio recording

Data Resource: Genetic Sequences for the SARS-CoV-2 Coronavirus

Nucleotide sequences of the SARS-CoV-2 virus (the virus associated with the COVID-19 disease, formerly known as 2019-nCoV) including location, collection time and similar supporting data

Function Resource: CanonicalBasis

Obtain the canonical bases for selected spaces of matrices and functions

Data Resource: Protein Sequences for the SARS-CoV-2 Coronavirus

Protein sequences of the SARS-CoV-2 virus (the virus associated with the COVID-19 disease, formerly known as 2019-nCoV) including location, collection time and similar supporting data

Function Resource: WignerMatrix

Get the irreducible group representation of SU(2) for a given angular momentum

Data Resource: Arecibo Telescope 1974 Transmitted SETI Message

A sequence intended for communication with extraterrestrial intelligence, transmitted in 1974 from the Arecibo radio telescope

Function Resource: QuantumWignerTransform

Convert quantum bases, states or operators in Hilbert space to functions in phase space

Function Resource: EigenvectorPlot

Visualize the Eigenvectors of a 2 x 2 or 3 x 3 matrix

Data Resource: CDC Primers for SARS-CoV-2 Research

Primers provided by the US Centers for Disease Control and Prevention (CDC) for identifying SARS-CoV-2 for research purposes, including the names, sequences, working concentration, and related information

Function Resource: PlotVector3D

Plot a list of vectors in space

Function Resource: FromNegabinary

Recover an integer from its negabinary representation

Function Resource: ToNegabinary

Get the negabinary representation of an integer

Function Resource: UpToBinaryCompositions

List all possible unary and binary combinations for a chosen set of functions and symbols

Function Resource: BinaryCompositions

List all possible binary compositions for a set of chosen symbols

Data Resource: SQuAD v2.0

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

Function Resource: HydrogenWavefunction

The position-space wavefunction of the hydrogen atom

Function Resource: RectifyingPlane

Compute the rectifying plane of a space curve

Function Resource: NormalPlane

Compute the normal plane of a space curve

Function Resource: OsculatingPlane

Compute the osculating plane of a space curve

Function Resource: CharacterArrayPlot

Decorate an ArrayPlot with additional characters

Function Resource: MinkowskiSausageCurve

Generate the Minkowski sausage curve

Function Resource: ConformColors

Create a list of colors of the same type and same number of arguments

Data Resource: Second DIMACS P-Hat Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Spacecraft Materials Outgassing Data

Data was obtained at the Goddard Space Flight Center (GSFC), utilizing equipment developed at Stanford Research Institute (SRI) under contract to the Jet Propulsion Laboratory (JPL).

Data Resource: Kepler-11 Light Curve Data

Light curve data for planetary system Kepler-11

Example Resource: Galactic Structure of Star Clusters

Create a map of open and globular star clusters

Example Resource: 3D Facial Reconstruction from 2D Images

Use neural networks to estimate the shape of a face with unguided volumetric regression

Example Resource: Map the Lunar Landing Location of Apollo Missions

Function Resource: TreemapPlot

Plot a nested list of values as a treemap

Function Resource: SubgraphExpand

Expand a subgraph inside the space of a graph

Function Resource: EnlargeBoundingBox

Increase a bounding box by a fractional amount

Function Resource: FitPowerLaw

Fit a power law to data

Function Resource: SIMBADData

Import astronomical data from the SIMBAD database

Example Resource: Range of Pulsar Spin Rates

Plot the rotation period versus the period derivative of pulsars

Function Resource: ZeckendorfRepresentation

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

Data Resource: H(8,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(6,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(10,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: TwinPrimes

Get the pairs of primes that differ by 2

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: DirectorySize

Find the total size of a directory

Example Resource: Daily Change of Worldwide Tides

Simulate the effect of the Moon's gravitational pull

Function Resource: MultiwayDeletionsGraph

Explore graph traversals while deleting visited components

Data Resource: Persistent Structures in the Code 20 Cellular Automaton

The known persistent structures in the k=2, r=2 totalistic code 20 cellular automaton

Function Resource: RandomLoop3D

Generate a random loop in 3D space

Function Resource: GeoHash

Geohash encoding and decoding

Example Resource: Model and Control the Cutting Process of a Lathe

Data Resource: Viking Lander 3D Model

3D test model of a Viking lunar lander

Function Resource: ArcTanDegree

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

Function Resource: EllipseFit

Fit an ellipse to a list of 2D points

Function Resource: ChaosGame

Plot iterations for the 2D chaos game

Function Resource: SteinerCircumellipse

Generate the Steiner circumellipse of a 2D triangle

Function Resource: BrocardInellipse

Generate the Brocard inellipse of a 2D triangle

Function Resource: LemoineInellipse

Generate the Lemoine inellipse of a 2D triangle

Function Resource: GPTTokenizer

Tokenize an input string into a list of integers from a vocabulary that was originally used to train GPT nets

Example Resource: Control the Pitch and Depth of a Submarine

Design a controller that tracks the submarine's depth

Function Resource: HyperbolicDistance

Give the distance between two points in hyperbolic space

Function Resource: IrregularPeriodogram

Compute a periodogram for data from unevenly spaced intervals

Function Resource: RandomCA

Randomly sample different cellular automaton rule spaces

Function Resource: LineFit

Fit a line to data points in n-dimensional space

Neural Net Resource: Wav2Vec2 Trained on Multiple Datasets

Transcribe an English audio recording

Neural Net Resource: Wav2Vec2 Trained on LibriSpeech Data

Transcribe an English audio recording

Function Resource: MortonCurve

Generate a Morton (z-order) curve

Function Resource: Fibbinary

Get the fibbinary sequence

Function Resource: SystemsModelConnect

Connect systems together using any inputs and outputs

Data Resource: Repurposing Therapeutics for COVID-19

Vina Docking scores for drug molecules with the S-protein of SARS-CoV-2 and human human ACE2 receptor

Function Resource: VerticalJumpOnAstronomicalBodies

Compute vertical jump heights from the surfaces of astronomical bodies

Neural Net Resource: Wide ResNet-50-2 Trained on ImageNet Competition Data

Identify the main object in an image

Function Resource: RegionInputField

User interface for drawing 2D mesh regions

Data Resource: SQuAD v2.0 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

Neural Net Resource: Wav2Vec2 XLSR-53 Trained on Multilingual Data

Transcribe multiple-language audio recordings

Function Resource: LloydAlgorithm

Perform Lloyd's algorithm to find evenly spaced points in a region

Function Resource: PairwiseMultidimensionalScaling

Multidimensional scaling algorithm for embedding pairwise distances into a Cartesian space

Function Resource: DepthFirstSearch

Search through a multiway space to find special termination points

Function Resource: ColorWheelSelector

Display a color wheel in the HSB color space and select a color

Function Resource: PhiNumberSystem

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

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: ColorToHex

Convert a color to a hex string

Function Resource: ColorWinding

Find the number of times the domain coloring of a function wraps around the color wheel along a given curve

Function Resource: TreeGrid

Display a tree with a grid

Data Resource: J(32,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(16,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(8,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: UFO Sightings 2015

Dataset of UFO sightings in the United States in 2015

Neural Net Resource: D2-Net Trained on MegaDepth Data

Find generic keypoints and their feature vectors in an image

Function Resource: MarginalPlot

Plot 2D data together with visualizations of the marginal distributions

Function Resource: TrianglePointData

Given a 2D triangle and a point, get the specified data

Function Resource: MoleculePrincipalMomentPlot

Visualize the distribution of molecule shapes in a 2D scatter plot

Data Resource: Global and National Annual CO2 Emissions from Fossil Fuel Burning 1751-2014

Global and national annual CO2 emissions from fossil-fuel burning, cement manufacturing and gas flaring: 1751–2014 (in thousands of metric tons of carbon)

Function Resource: QuantumDistance

Compute the Hilbert space distance between two discrete quantum states

Function Resource: DirectionParametricPlot3D

Create a parametric plot of a curve in space with direction indicated by arrowheads and color

Function Resource: KruskalAlgorithm

Find the minimal spanning tree for a given set of points in Euclidean space

Function Resource: SentenceBERTEmbedding

Compute a sentence embedding for a piece of text

Function Resource: SecondFundamentalFormCoefficients

Compute the coefficients of the second fundamental form

Function Resource: Inellipse

Generate the general inellipse of a 2D triangle with specified contact points

Function Resource: RegionFindShortestPath

Find the shortest paths between two points in 2D regions

Function Resource: SolarSystemPlot3D

Plot the positions of solar system objects in 3D

Function Resource: GeoCirclePoints

Get geo coordinates equally spaced around a circle centered at a GeoLocation

Data Resource: The 20-Task bAbI Question-Answering Dataset v1.2

A dataset for question answering and text understanding in both Hindi and English

Neural Net Resource: Enhanced Super-Resolution GAN Trained on DIV2K, Flickr2K and OST Data

Increase the resoution of an image

Paclet Resource: RobertNachbar/MoleculeComplex

Functions for creating and working with MoleculeComplex's, which are collections of Molecule objects in the same 3D space

Function Resource: SignedVectorAngle

A version of VectorAngle for 2D vectors that can return negative angles

Function Resource: GeometricAssertionForm

Print a human-readable form of a hypothesis in an abstract 2D geometric scene

Function Resource: PolygonArea3D

Compute the area of a planar 2D polygon using 3D points

Function Resource: Derangements

Give all the ways the numbers 1, 2, …, n can be scrambled completely

Function Resource: CenteredSimplex

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

Function Resource: TexturizePolygons

Make 2D and 3D graphics with specified polygons and corresponding textures

Function Resource: GridPicker

A ListPicker for grids

Function Resource: HessianPlane

Get the Hessian normal form of a plane passing through three given points in space

Data Resource: Atlantic Hurricane Data 1851-2017

A modification of the NOAA "Hurdat2" Dataset on Atlantic Hurricanes to facilitate use with the Wolfram Language

Paclet Resource: WallGo/WallGoMatrix

Computes 2-to-2 scattering matrix amplitudes for arbitrary quantum field theories

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: NPseudoVoigt

Fast numerical approximation to the PDF of the Voigt distribution with around 1.2% of maximum deviation

Function Resource: BresenhamPoints

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

Function Resource: NinePointCubic

Find a cubic plane curve that passes through nine given 2D points

Example Resource: Find Clusters in a Set of Molecules

Use molecule fingerprints to group similar molecules together and view them in a feature space plot

Data Resource: Sample Image: Red Cherry Tomatoes

Sample Image in the CIE LAB Colorspace

Example Resource: CNOT Gate using Measurement-Based Quantum Computing

Implement a widely used 2 qubit gate with an alternative approach to quantum computation

Example Resource: Search for the Hilda Family of Asteroids

The Hilda family of asteroids share an orbital period that is nearly 2/3 that of Jupiter

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: GPT2 Transformer Trained on WebText Data

Generate text in English and represent text as a sequence of vectors

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: OrdinalNumberString

Convert integers to strings representing ranks: 1st, 2nd, 3rd, etc.

Example Resource: Manifold Learning from Numeric Data

Train a nonlinear dimension reducer to project the space defined by 3D numerical data to an approximating manifold

Neural Net Resource: EfficientNet-V2 Trained on ImageNet Competition Data

Identify the main object in an image

Neural Net Resource: YOLO V2 Trained on MS-COCO Data

Detect and localize objects in an image

Neural Net Resource: U2-Net Trained on DUTS-TR Data

Segment objects in an image

Neural Net Resource: U2-Net Portrait Generator Trained on APDrawing Data

Generate a portrait sketch from a photo

Neural Net Resource: M2M-100 Multilingual Translation Net

Translate text between any pair of one hundred languages

Function Resource: AggregationSystem

Evolve a 2D array of cells by randomly adding new cells at positions with certain neighborhood configurations

Function Resource: FindFanoPlaneIsomorphism

Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane

Function Resource: PolarTreemapPlot

Plot a polar tree map of a given nested list

Function Resource: ESMFoldProteinSequence

Fold a protein using the ESMFold API

Neural Net Resource: EfficientNet-V2 Trained on ImageNet-21K

Identify the main object in an image

Example Resource: Standardize Audio Training Inputs

Transform audio signals into 2D power spectra for net training inputs using a custom audio encoder

Example Resource: Galactooligosaccharide Conformations

Generate and cluster conformations of galactooligosaccharides for 2D NMR or enzyme active site docking studies

Neural Net Resource: SSD-MobileNet V2 Trained on MS-COCO Data

Detect and localize objects in an image

Neural Net Resource: MobileNet V2 Trained on ImageNet Competition Data

Identify the main object in an image

Data Resource: Paleoclimate Data Records Derived from the Vostok Ice Core

Datasets of CO2 concentration and temperature historical records derived from the air and isotopes trapped in the ice core

Data Resource: Air Pollution and Mortality in the United States

Long-term average exposure to fine particulate matter PM2.5 correlated to US census data

Function Resource: GaltonBoardModel

Model ball trajectories in a 2D Galton board using Hertzian force laws between the ball and the pegs

Paclet Resource: AntonAntonov/TileStats

Tilling over 2D data and related statistics

Example Resource: Generate Art with Learned Pixel Distributions

Learn the underlying distribution of images to create artistic images with high resolution

Neural Net Resource: ShuffleNet-3D V2 Trained on Video Datasets

Identify the main action in a video

Neural Net Resource: MobileNet-3D V2 Trained on Video Datasets

Identify the main action in a video

Function Resource: PolarDendrogramPlot

Plot a polar dendrogram of a clustering

Neural Net Resource: ShuffleNet-V2 Trained on ImageNet Competition Data

Identify the main object in an image

Neural Net Resource: 3D Face Alignment Net Trained on 300W Large Pose Data

Determine the 2D projection of 3D keypoints from a facial image

Data Resource: Coronavirus COVID-19 Pandemic Government Measures

Measures taken by governments from different countries to fight the coronavirus COVID-19 pandemic caused by the SARS-CoV-2

Neural Net Resource: Single-Image Depth Perception Net Trained on NYU Depth V2 Data

Estimate the depth map of an image

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}

Neural Net Resource: Unguided Volumetric Regression Net for 3D Face Reconstruction

Reconstruct a 3D facial image from a 2D facial image

Neural Net Resource: CoCa Image Captioning Nets Trained on LAION-2B Data

Represent words and images as vectors

Neural Net Resource: 2D Face Alignment Net Trained on 300W Large Pose Data

Determine the locations of keypoints from a facial image

Neural Net Resource: Clinical Concept Embeddings Trained on Health Insurance Claims, Clinical Narratives from Stanford and PubMed Journal Articles

Represent a clinical concept as a vector

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06

Represent words as vectors

Function Resource: MultiPerspectiveEmbedding

Compute a 3D embedding for multiple graphs so that all pairwise distances are preserved simultaneously along various 2D projections

Function Resource: MultiwayAggregationSystem

Simulate an aggregation system (a 2D array of cells in which new cells are added at positions with certain neighborhood configurations) as a multiway system

Neural Net Resource: OpenCLIP Multi-domain Feature Extractor Trained on LAION-2B Data

Represent words and images as vectors

Neural Net Resource: Single-Image Depth Perception Net Trained on NYU Depth V2 and Depth in the Wild Data

Estimate the depth map of an image

Neural Net Resource: MiDaS V2.1 Depth Perception Nets Trained on Multiple-Datasets

Estimate the depth map of an image

Data Resource: Primitive Polynomials

Primitive polynomials for Galois field generation up to GF(2^1200), GF(3^660), GF(5^430), and GF(7^358)

Function Resource: StringToBoxes

Convert a string into boxes as if it were typed into a notebook

Data Resource: Sample Data: Fisher's Cats

The heart and body weights of samples of male and female cats used for digitalis experiments. The cats were all adult, over 2 kg body weight.

Function Resource: QuadraticResidueAcousticDiffuser

Compute a matrix of well depth values representing a quadratic-residue diffuser

Function Resource: QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

Function Resource: LagrangePointData

Compute properties for the Lagrange points of two orbiting astronomical bodies

Data Resource: NASA GISTEMP Global Means

Global-mean monthly, seasonal, and annual temperatures since 1880.

Data Resource: NASA GISTEMP Global Means dTs

Global-mean monthly, seasonal, and annual temperatures from dTs since 1880.

Function Resource: ExtrudePolygon

Create 3D shapes from 2D polygons via extrusion along the z axis, or create 3D extrusions of 3D polygons along a 3D vector

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

Represent words as vectors

Data Resource: Sample Data: North Derbyshire Asthma

Locations of the residence of asthmatic (cases) and non-asthmatic (controls) children, annotated with marks including number of household smokers, subject type (case or control), hay fever occurrence, age, distance to the nearest road, distance to pollution sources 1, 2, and 3

Function Resource: SubspaceBasis

Find a basis for the subspace spanned by a list of vectors

Function Resource: PivotColumns

Get the positions of the columns that are pivot columns of a matrix

Neural Net Resource: GloVe 200-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: 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 300-Dimensional Word Vectors Trained on Common Crawl 42B

Represent words as vectors

Data Resource: VEHICLe

virtual exploratory heterocyclic library

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06 (Raw Model)

Represent words as vectors

Data Resource: Slovene Parliamentary Parties Network

Relations between Slovene parliamentary political parties in 1994

Data Resource: BMI by Country

Global Health Observatory data repository

Function Resource: LinearConstraints

Determine the consistency equations required for a system of linear equations to have a solution

Function Resource: LinearCombination

Decompose a vector into a linear combination of a set of vectors

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

Data Resource: Steiner Surfaces

Classification of Steiner Surfaces

Data Resource: D'Arcy Thompson Zoology Museum 3D Anatomical Models

Models from the museum at the University of Dundee, Scotland

Function Resource: AugmentedMatrix

Get the augmented matrix of the system of linear equations

Data Resource: World Atlas of Language Structures

Dataset of structural properties of languages

Function Resource: FullQRDecomposition

Compute the full QR decomposition of a matrix

Neural Net Resource: ELMo Contextual Word Representations Trained on 1B Word Benchmark

Represent words as contextual word-embedding vectors

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

Colorize a grayscale image

Neural Net Resource: SSD-VGG-300 Trained on PASCAL VOC Data

Detect and localize objects in an image

Neural Net Resource: SSD-VGG-512 Trained on MS-COCO Data

Detect and localize objects in an image

Neural Net Resource: SSD-VGG-512 Trained on PASCAL VOC2007, PASCAL VOC2012 and MS-COCO Data

Detect and localize objects in an image

Neural Net Resource: CREPE Pitch Detection Net Trained on Monophonic Signal Data

Track the pitch of a monophonic signal

Data Resource: Clinical Concepts from Massive Sources of Medical Data

A dataset of medical concepts

Neural Net Resource: OpenFace Face Recognition Net Trained on CASIA-WebFace and FaceScrub Data

Represent a facial image as a vector

Function Resource: LinearAlgebraMod

Perform matrix operations over a finite field

Data Resource: Guitar Chords for Picking

Complete set of 4-note guitar chords for picking

Neural Net Resource: Optic-Net Classifier for Retinal Diseases

Diagnose retinal diseases from optical tomography images

Data Resource: Japanese-English Subtitle Corpus

A parallel corpus for machine translation systems, information extraction and other language processing techniques

Function Resource: MultiFactorial

Evaluate the multifactorial function

Data Resource: Languoid EntityStore

Entity store with information about languages, dialects and families of the world (‘languoids’) and their genealogical classification

Data Resource: Tank Turret Model

Model of a tank's turret

Data Resource: Raw Data For The Long Term Selection Experiment For Oil And Protein In Corn

Raw data from each ear analyzed each year of the Illinois long-term selection experiment for oil and protein in corn (1896-2004)

Data Resource: Europarl English-French Machine Translation Dataset V7

A parallel corpus for machine translation from the proceedings of the European Parliament

Data Resource: Hadley Center Central England Temperature (HadCET) Dataset

The CET dataset is the longest instrumental record of temperature in the world.

Function Resource: LInfinitySolve

Solve the linear minimax problem

Neural Net Resource: 3D-Inflated ResNet-50 Trained on Kinetics 400 Data

Identify the main action in a video

Function Resource: L1Solve

Solve the linear least absolute value problem

Function Resource: Circumcircle3D

Generate the circumcircle of a 3D triangle

Function Resource: Incircle3D

Generate the incircle of a 3D triangle

Neural Net Resource: Inception V1 Trained on Places365 Data

Identify the scene type of an image

Function Resource: ExtendedLatticeReduce

Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis

Neural Net Resource: Stable Diffusion V1

Generate photorealistic images

Neural Net Resource: ResNet-101 Trained on YFCC100m Geotagged Data

Determine the geolocation of a photograph

Paclet Resource: Wolfram/GitLink

Integrate git functionality into the Wolfram Language

Function Resource: Locator3D

Interactively manipulate positions and rotations in 3D

Function Resource: MotzkinM

Evaluate the Motzkin number

Function Resource: LahL

Evaluate the Lah number

Function Resource: FubiniNumber

Count the number of ways to partition a set where the order of the subsets matters

Neural Net Resource: CLIP Multi-domain Feature Extractor

Represent words and images as vectors

Data Resource: Fuel Slosh Model

A model of the fluid slosh dynamics in a spacecraft

Function Resource: StieltjesJacobiE

Evaluate the Stieltjes-Jacobi polynomial

Neural Net Resource: Inception V1 Trained on Extended Salient Object Subitizing Data

Count the number of prominent items in an image

Neural Net Resource: Micro Aerial Vehicle Trail Navigation Nets Trained on IDSIA Swiss Alps and PASCAL VOC Data

Navigate a drone in a forest environment

Data Resource: HUD Location Affordability Index

The Location Affordability Index gives estimates of the percentage of a family's income dedicated to the combined cost of housing and transportion in a given location.

Example Resource: Stabilization of Lynx and Hare Populations with LQG Control

Data Resource: Wind Speed Measurements

Average daily wind speed at 12 meteorological stations in the Republic of Ireland 1961-1978

Function Resource: BinaryIteratedLog

Get the binary iterated logarithm of a positive number

Function Resource: CircularWinder

Create a rotatable arrow handle

Function Resource: IteratedLog

Determine the iterated logarithm of an input

Function Resource: KrawtchoukMatrix

Generate a Krawtchouk matrix

Function Resource: DelannoyD

Evaluate the Delannoy number

Function Resource: KSetPartitions

Give all possible ways to partition a set into a given number of subsets, ignoring order of blocks and within blocks

Function Resource: KurepaK

Evaluate the Kurepa function

Function Resource: SetPartitions

Give all possible ways to partition a set into blocks, ignoring the order of blocks and order within blocks

Data Resource: HumanMethylation450 BeadChip

Genomic coordinates relative to the CpG loci identifiers for Infinium HumanMethylation450 BeadChip

Function Resource: PatternSort

Sort a list of patterns according to their precedence

Neural Net Resource: Channel-Separated Video Action Classification Net Trained on Kinetics-400 Data

Identify the main action in a video

Neural Net Resource: EfficientNet Trained on ImageNet with RandAugment

Identify the main object in an image

Data Resource: Samuelson Economic Model

Samuelson economic model

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

Detect and localize text in an image

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

Represent words and images as vectors

Function Resource: LatticeVoronoiCellPlot3D

Display Voronoi cells for specific lattice points in a 3D lattice

Function Resource: EpsteinHubbellOmega

Evaluate the Epstein–Hubbell integral

Neural Net Resource: YOLO V8 Detect Trained on MS-COCO Data

Detect and localize objects in an image

Data Resource: Wilberforce Pendulum Model

Model of a Wilberforce pendulum

Neural Net Resource: YOLO V8 Segment Trained on MS-COCO Data

Detect, segment and localize objects in an image

Function Resource: PointGroupSymbol

Compute the point group symmetry symbol of a molecule or a polyhedron

Neural Net Resource: YOLO V3 Trained on Open Images Data

Detect and localize objects in an image

Neural Net Resource: YOLO V8 Classify Trained on ImageNet Competition Data

Identify the main object in an image

Neural Net Resource: YOLO V8 Pose Trained on MS-COCO Data

Detect and localize human joints in an image

Function Resource: HexToColor

Convert hex strings into colors

Function Resource: CompanionMatrix

Compute the Frobenius companion matrix of a polynomial

Data Resource: Mammals in MZNA-VERT

Data on small mammals obtained from the analysis of barn owl pellets

Function Resource: MonteCarloSample

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

Neural Net Resource: X3D Video Action Classification Trained on Kinetics-400 Data

Identify the main action in a video

Data Resource: USB Device Vendors and Devices

A dataset of the vendors and devices in the Linux usb.ids file

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Function Resource: QLearningLQRegulator

Compute the LQ regulator using Q-learning

Data Resource: Sample Data: Longleaf Pines

Locations of longleaf pine trees annotated with diameter at breast height (in centimeters) marks

Function Resource: HurwitzMatrix

Generate the Hurwitz matrix of a univariate polynomial

Data Resource: Gantry Crane Model

Model of a gantry crane

Data Resource: Selected CIE Colorimetric Tables

Standard illuminants, colorimetric observer curves, and daylight components for working with visible light spectra and illumination, from Publication CIE 15:2004

Function Resource: SchurMatrix

Generate the Schur matrix of a univariate polynomial

Data Resource: Sample Data: UCI Letter

Letter recognition dataset

Neural Net Resource: Whisper-V1 Multilingual Turbo

Transcribe multiple-language audio recordings

Data Resource: Sample Tabular Data: Diamonds

A dataset containing the prices and other attributes of almost 54,000 diamonds

Data Resource: Shakespeare and Company EntityStores

The collection, members and circulation records of the Shakespeare and Company lending library

Function Resource: MultidimensionalScaling

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

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

Generate an answer to a question given an image

Neural Net Resource: SSD Feature Pyramid Nets Trained on MS-COCO Data

Detect and localize objects in an image

Data Resource: Poetry by e. e. cummings

The poems of e. e. cummings that are in the public domain

Data Resource: The Birth of Tragedy Out of the Spirit of Music

Plaintext for Friedrich Nietzsche's "The Birth of Tragedy Out of the Spirit of Music"

Example Resource: Pepper Pungency on the Scoville Scale

Plot the ranking of peppers by their Scoville heat rating and create a peppers image collage

Data Resource: US City Trees 2022

A dataset of 5 million city trees from 63 US cities: species, location, nativity status, health, and more

Data Resource: Alfred Gray's Surfaces Properties

Alfred Gray’s associated surfaces taken from his original notebooks of his book "Modern Differential Geometry of Curves and Surfaces with Mathematica"

Data Resource: Alfred Gray's Surfaces Plots

Plots of Alfred Gray’s Surfaces collection

Data Resource: Global Landslide Catalog

The Global Landslide Catalog considers all types of mass movements triggered by rainfall, which have been reported in the media, disaster databases, scientific reports, or other sources.

Paclet Resource: AntonAntonov/PaLMLink

PaLM API linking functions

Neural Net Resource: CenterNet Pose Estimation Nets Trained on MS-COCO Data

Detect and localize human joints and objects in an image

Example Resource: Model and Regulate a Wilberforce Pendulum

Model a rotating mass suspended from a spring

Data Resource: GMM-3 Mars Gravity Map

Goddard Mars Model 3 map of the gravity field of Mars

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

Generate a textual description of an image

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

Find the similarity score between a text and an image

Data Resource: Sample Tabular Data: Fuel Economy

Fuel economy data for years 1999 and 2008 for 38 popular models of cars

Example Resource: Respond to SPI Data

Quickly prototype and deploy code to a microcontroller using the Wolfram Language

Example Resource: Train LeNet to Classify Images of FashionMNIST

Classify images of a dataset of labeled fashion images

Example Resource: Lateral Modes of an Aircraft

Model, analyze and describe the different modes of an aircraft's lateral dynamics

Paclet Resource: AntonAntonov/MonadicSystemDynamics

Software monad for System Dynamics workflows

Data Resource: Mock Theta Functions

Definitions of the mock theta functions

Example Resource: Fooling Neural Networks

Construct illusions for image classification networks

Example Resource: Simulate Control of a Toy Train

Model the position of a toy train and use a tracking controller to stop at stations

Example Resource: Stabilize an Inverted Pendulum on a Wheel

Create a feedback controller to stabilize the mechanical system

Paclet Resource: WolframInstitute/NetworkSystem

Network Systems

Example Resource: Levitate a Ball about a Nominal Position

Design a control system for an electromagnet

Example Resource: Track the Altitude of a Drone

Design an estimator-regulator tracking controller for a quadcopter drone to set its altitude to a desired value

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

Paclet Resource: ChristopherWolfram/ViennaRNALink

Connecting ViennaRNA to the Wolfram Language for RNA folding

Example Resource: Colorize Electron Microscopy Images

Train a neural network to automatically colorize monochrome electron microscopy images

Data Resource: NYC Rat Sightings

New York City rat sighting service requests, 2010-2016

Function Resource: MolienSeries

Compute the Molien series of a group

Example Resource: Classify Spoken Digits

Use the neural net framework to enable powerful and user-friendly network training tools for audio objects

Data Resource: Eurovision Votes Network

Network of votes in the Eurovision song contest

Function Resource: SaundersDigitPlot

Make a Saunders plot of a function

Function Resource: MixtilinearIncircles

Get the three mixtilinear incircles of a triangle

Function Resource: TransversalHypergraph

Compute the transversal hypergraph of a hypergraph defined by a list of hyperedges and isolated vertices

Function Resource: DoyleSpiral

Plot Doyle spirals

Data Resource: Sample Data: Employee Attitude Survey

Employee attitude data for 30 departments in a large financial organization

Example Resource: Train a Custom Image Classifier

Retrain an image classifier network to automatically distinguish dromedaries from camels

Data Resource: The Second Swift Burst Alert Telescope Gamma­Ray Burst Catalog

476 gamma­ray bursts detected by the Swift Burst Alert Telescope (BAT) between 2004 December 19 and 2009 December 21

Function Resource: NuIDDecode

Generate the oligonucleotide sequence corresponding to a given nucleotide universal identifier (nuID)

Function Resource: CIEColorMatchingFunctionValues

Evaluate the CIE color matching functions for a given wavelength

Function Resource: NuIDEncode

Generate the nucleotide universal identifier (nuID) of an oligonucleotide sequence

Function Resource: WelchTest

Compare the means of two observational samples using the Welch test

Function Resource: FindExactCover

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

Function Resource: DescendingSublists

Split a list at its left-to-right maxima

Neural Net Resource: ShuffleNet-V1 Trained on ImageNet Competition Data

Identify the main object in an image

Data Resource: Anthropogenic Biome

Illustrating anthropogenic biomes of the world

Function Resource: NeumannO

Evaluate the Neumann polynomial

Example Resource: Molecular Gears

Molecular modeling of dynamic gearing and gear-slippage in bis(9-triptycyl)methane

Data Resource: Sample Data: Paracou Kimboto Trees

Locations of Kimboto trees at Paracou in French Guiana, annotated with adult/juvenile marks

Function Resource: GeodesicGridPoints

Generate points on a geodesic grid

Function Resource: PolyharmonicSplineInterpolation

Interpolate data using polyharmonic splines

Function Resource: GenericInvariant

Compute the generic invariant of a group

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

Function Resource: RandomUnimodularMatrix

Return a pseudorandom unimodular matrix

Function Resource: NaturalEquations

Compute the natural equations of a curve

Function Resource: InversionSurface

Compute the inversion surface

Function Resource: InvoluteCurve

Compute the involute of a curve

Function Resource: EvoluteCurve

Compute the evolute of a curve

Function Resource: Cyclide

Compute expressions for Dupin cyclide surfaces

Function Resource: PerpendicularSurface

Compute the perpendicular surface of a curve

Function Resource: TranslationSurface

Compute a translation surface parametrization

Function Resource: ImplicitCurvature

Compute the implicit curvature of a curve

Function Resource: WeingartenMatrix

Compute the Weingarten matrix of a surface

Function Resource: RollingCurve

Compute a rolling curve

Function Resource: BrioschiCurvature

Compute the Gaussian curvature for a metric

Function Resource: InversionCurve

Compute the inversion of a curve

Function Resource: NormalCurvature

Compute the normal curvature of a curve on a surface

Function Resource: GeneralizedFiedlerMatrix

Generate the generalized Fiedler companion matrix of a univariate polynomial

Function Resource: Disk3D

Create a BSplineSurface primitive representing a disk

Function Resource: MatplotlibObject

Supplement Wolfram Language plotting functions with Python's Matplotlib

Example Resource: Design a Lowpass Butterworth Filter

Design a Butterworth filter model and obtain the filter's transfer function and impulse response

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

Function Resource: SkipListStructure

A values-sorted data structure with fast insertion and deletion

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

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

Detect and localize text in an image

Function Resource: FitWithErrors

Perform linear and nonlinear fits on data with error bars

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: PivotedLUDecomposition

Compute the LU decomposition of a matrix with different pivoting methods

Function Resource: PolynomialDividedDifference

Evaluate the divided difference of a polynomial

Function Resource: VariableSectionTube

Compute the parametrization of a tube of variable section

Function Resource: PedalCurve

Compute the pedal of a curve

Function Resource: SphericalCurve

Get curves defined over a sphere

Function Resource: ShapeOperator

Compute the shape operator on a surface

Function Resource: AsymptoticCurves

Compute the asymptotic curves of a parameterized surface

Function Resource: FirstFundamentalFormCoefficients

Compute the coefficients of the first fundamental form of a surface

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: DarbouxVector

Compute the Darboux vector field of a curve

Function Resource: CurveTube

Convert a 3D curve into a parametrized tube

Function Resource: AreaElement

Compute the area element for a surface

Function Resource: ApproximatedCurve

Get an approximation to a parametric curve

Function Resource: GaussianCurvature

Compute the Gaussian curvature of a surface

Function Resource: NormalSurface

Compute the normal surface of a curve

Function Resource: TwistedSurface

Generate a surface twisting a curve

Function Resource: Curvature

Compute the curvature of a curve

Function Resource: BinormalSurface

Compute the binormal surface to a curve

Function Resource: TangentDevelopableSurface

Compute the tangent developable surface of a curve

Function Resource: RadialCurve

Compute the radial curve of a given curve

Function Resource: CatacausticCurvePlot

Plot the catacaustic of a curve

Function Resource: NormalVector

Compute the normal vector of a curve

Function Resource: TangentialAngle

Compute the tangential angle of a curve

Function Resource: UnitNormal

Compute the unit normal of a surface

Function Resource: TotalSignedCurvature

Compute the total signed curvature of a curve

Function Resource: DirectionalD

Compute the directional derivative of a function

Function Resource: BinormalVector

Compute the binormal vector of a curve

Function Resource: EnneperWeierstrass

Compute the Enneper-Weierstrass parametrization

Function Resource: CurveTorsion

Compute the torsion of a curve

Function Resource: ParametricSurfaceTangentPlane

Compute the tangent plane of a parametric surface

Function Resource: ParallelSurface

Compute the parallel surface of a surface

Function Resource: NegativePedalCurve

Compute the negative pedal curve

Function Resource: ContrapedalCurve

Compute the contrapedal curve

Function Resource: CesaroEquation

Compute the Cesàro equation for a planar curve

Function Resource: CatacausticCurve

Compute the catacaustic of a curve

Function Resource: PedalSurface

Compute a pedal surface

Function Resource: CircularWaveguideProperties

Compute the propagation mode properties of a circular electromagnetic waveguide

Function Resource: MovingOrthonormalFrame

Compute the moving orthonormal frame of a surface

Function Resource: ParallelCurve

Compute parallel (offset) curves

Function Resource: RayTransferMatrix

Calculate the ray transfer matrix of a Gaussian optical system

Function Resource: FaustGrayscaleConvert

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

Function Resource: BusyBoxesAutomaton

Implementation of the Busy Boxes 3D reversible cellular automaton

Function Resource: TsallisEntropy

Compute the Tsallis entropy

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Function Resource: MatrixPolynomial

Evaluate a matrix polynomial

Function Resource: SchlaefliS

Evaluate the Schläfli polynomial

Function Resource: PointsetDerivativeRoots

Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points

Function Resource: MultiplicativePersistence

Compute the multiplicative persistence, in any base, of an integer

Data Resource: Mexico City Subway Network

The Mexico City subway network

Function Resource: ToAlBhedString

Translate a string from Latin or Hiragana to Al Bhed, the cipher language from the game “Final Fantasy X”

Function Resource: FromAlBhedString

Translate a string from Al Bhed, the cipher language from the game Final Fantasy X, to Latin or hiragana

Function Resource: ImportMTL

Import a Wavefront Material Template Library file as a labeled set of graphics directives

Function Resource: RandomUnitVector

Generate random vectors in any dimension of unit length

Data Resource: Sample Data: Breakdown Spots R423

Locations of electrical breakdown spots on a circular electrode of radii 423 microns in a microelectronic capacitor

Data Resource: Sample Data: Breakdown Spots R282

Locations of electrical breakdown spots on a circular electrode of radii 282 microns in a microelectronic capacitor

Data Resource: Sample Data: Breakdown Spots R169

Locations of electrical breakdown spots on a circular electrode of radii 169 microns in a microelectronic capacitor

Function Resource: ScorerGiZero

Find zeros of the ScorerGi function

Function Resource: OrthogonalPolynomialVandermondeMatrix

Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector

Function Resource: PolygonNormalVector

Compute the normal vector to a 3D polygon

Function Resource: ImportWavefrontRFL

Import a Wavefront RFL file

Function Resource: CommutationMatrix

Generate a commutation matrix

Data Resource: United States Supreme Court Decisions 1946-present

Datasets relating to Supreme Court cases from 1946 to present

Function Resource: SphericalVoronoiDiagram

Show the spherical Voronoi diagram of a set of points on a sphere

Function Resource: SolarVideo

Generate videos of the Sun from many NASA/ESA scientific instruments

Function Resource: SolarImage

Retrieve images of the Sun from many NASA/ESA scientific instruments

Example Resource: Classify Pollen Images Using Neural Nets

Use image feature extraction and neural networks to classify pollen samples of different flowers

Function Resource: MostGeneralUnifier

Unify expressions containing pattern variables

Function Resource: AxisAngle

Generate the axis-angle representation of a three-dimensional rotation matrix

Function Resource: SchultzMTI

Compute the Schultz molecular topological index of an undirected graph or a molecule

Function Resource: KoayPoints

Generate Koay's uniformly distributed points on a sphere

Function Resource: DVectorField

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

Function Resource: CanalSurface

Compute the parametrization of a canal surface

Function Resource: ExtractPlotImageData

Extract data from a plot image

Function Resource: WelchSpectralEstimate

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

Function Resource: AlkaneName

Generate the name of the straight-chain alkane with the specified number of carbon atoms

Function Resource: ChirpFunction

Generate a swept-frequency sinusoidal function

Paclet Resource: LieART/LieART

Tools for Lie Algebras and Representation Theory

Neural Net Resource: Vision Transformer Trained on ImageNet Competition Data

Identify the main object in an image

Data Resource: Job Training Efficacy

Data examining the efficacy of job training programs on increasing earnings

Function Resource: PrincipalCurvatures

Compute the principal curvatures of a surface

Function Resource: TensorPureFunction

Get a pure function whose argument is a vector or a matrix for a given tensor

Function Resource: MeanCurvature

Compute the mean curvature of a surface

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Function Resource: PaduaPoints

Generate Padua points for bivariate interpolation and cubature

Function Resource: PaduaInterpolation

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

Function Resource: Bjorling

Compute the Björling formula

Function Resource: SchurS

Evaluate the Schur polynomial corresponding to an integer partition

Function Resource: AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

Data Resource: MycoDB

Data on plant response to mycorrhizal fungi

Function Resource: Orthotomic

Compute the orthotomic of a curve

Function Resource: SeaShellSurface

Get the parametrization of a seashell surface

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Function Resource: CoulombF

Evaluate the regular Coulomb wavefunction

Function Resource: PowerTriangulation

Generate the power triangulation of a set of circles

Function Resource: BioMoleculeResidueFluctuations

Calculate the fluctuations of residues in a biomolecule

Function Resource: OutShuffle

Perform an out shuffle on a list

Function Resource: InShuffle

Perform an in shuffle on a list

Function Resource: SCombinatorHaltsQ

Test whether evolution of an S combinator expression will halt

Function Resource: Immanant

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

Function Resource: NCBIGenomicSNPData

Retrieve information on reference SNPs from the NCBI database

Function Resource: ToRDCoordinates

Convert latitude-longitude coordinates to Dutch RD coordinates

Function Resource: FromRDCoordinates

Convert Dutch RD coordinates to GeoPosition objects

Function Resource: StauduharGaloisGroup

Use Stauduhar's method for Galois groups of polynomials

Function Resource: PowerDiagram

Generate the power diagram of a set of circles

Function Resource: MoranI

Compute Moran's I spatial autocorrelation coefficient

Function Resource: PercusYevickRDF

Evaluate the radial distribution function for a fluid of hard spheres

Function Resource: LuckyNumbers

Get a list of lucky numbers

Function Resource: AkimaSpline

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

Function Resource: IsodesmicReactionQ

Determine if a chemical reaction is isodesmic

Function Resource: MonotonicInterpolation

Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: BioMoleculePlot3D

Visualize the 3D structure of biomolecules

Function Resource: PersistentHomology

Perform persistent homology on a point cloud dataset

Function Resource: NSolveByMonodromy

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

Function Resource: TuckerDecomposition

Compute the Tucker decomposition of a tensor

Function Resource: RicciScalar

Compute the Ricci scalar for a metric

Function Resource: UpperTriangularDecomposition

Find an upper triangular form and conversion matrix for a given matrix

Function Resource: RicciCurvature

Compute the components of the Ricci curvature for a metric

Function Resource: Biarc

Generate a biarc through two points

Function Resource: RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

Function Resource: MultisetDiceDissimilarity

Compute the Dice dissimilarity of two multisets

Function Resource: MultisetJaccardDissimilarity

Compute the Jaccard dissimilarity of two multisets

Function Resource: EulerFalseLog

Evaluate Euler's false logarithmic series

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: FabiusF

Evaluate the Fabius function

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: ArithmeticD

Compute the arithmetic derivative of a rational number

Function Resource: RuledSurfacePlot

Plot a ruled surface

Function Resource: AlkaneIsomers

Generate all alkanes with a given number of carbon atoms

Function Resource: ScalarPureFunction

Get a pure function whose argument is a vector for a given multivariable scalar function

Function Resource: ModifiedGaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature

Example Resource: Machine Learning-Based Classification of β-Thalassemia Severity Levels

Classify β-Thalassemia severity levels based on hemoglobin variant patterns

Function Resource: HartleyMatrix

Generate a Hartley matrix

Function Resource: BarningHallTreePosition

Finds the position of a primitive Pythagorean triple in Barning-Hall tree

Function Resource: DiscreteHartleyTransform

Compute the discrete Hartley transform of a list

Function Resource: CreateSortableUniqueID

Create a K-Sortable Unique Identifiers hexadecimal string

Data Resource: Toy Train Model

A model of a toy train

Data Resource: Webserver Load Model

Model of a webserver's CPU and memory loads

Data Resource: PMMA Synthesis Model

A model of a Polymethyl methacrylate (PMMA) synthesis reactor

Data Resource: Simple Pendulum Model

Model of a simple pendulum

Data Resource: Fed-Batch Reactor Model

Model of a fed-batch reactor

Data Resource: Harrier Jet Model

Model of a hovering Harrier VTOL jet

Data Resource: Flexible Joint Model

Model of a torque-driven flexible joint

Data Resource: Elastic Pendulum Model

Model of an elastic pendulum

Data Resource: Two-Compartment Alcohol Model

Two-compartment model of alcohol concentration in the body

Data Resource: Satellite Attitude Model

Model of a satellite's attitude dynamics

Data Resource: Ball and Beam Model

Model of a ball and beam system

Data Resource: Segway Pendulum Model

An inverted pendulum model of a Segway personal transport

Data Resource: Inverted Pendulum Model

A model of an inverted pendulum on a cart

Data Resource: PMSM Model

A model of a permanent magnet synchronous motor (PMSM)

Data Resource: Quadcopter Drone Model

Model of a quadcopter drone

Data Resource: Blood Glucose Model

Model of the blood glucose level in the human body

Data Resource: HIV Infection Model

A model of an HIV infection

Data Resource: Two-link Robot Model

A model of a two-link robot

Data Resource: Rotary Pendulum Model

Model of a rotary pendulum

Data Resource: Lathe Cutting Model

Model of a lathe cutting process

Data Resource: 747 Longitudinal Model

Model of the longitudinal dynamics of a Boeing 747

Data Resource: Mass-Spring-Damper Model

Model of a mass-spring-damper system

Data Resource: Submarine Longitudinal Model

Model of the longitudinal dynamics of a submarine

Data Resource: Yeast Fermentation Model

Model of a yeast fermentation process

Data Resource: 747 Lateral Model

Model of the lateral dynamics of a Boeing 747

Data Resource: Vibration Absorber Model

Model of a vibration absorber

Data Resource: Two-Compartment Pharmacokinetic Model

Two-compartment model of a pharmacokinetic process

Data Resource: Helicopter Pitch Model

Model of a helicopter's pitch dynamics

Data Resource: Satellite Orbital Model

Model of a satellite's orbital dynamics

Function Resource: ImportSheetData

Interactively import data from a spreadsheet

Function Resource: RamanujanPrimes

Compute Ramanujan primes

Function Resource: DistinctCompactBinaryHuffmanCode

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

Function Resource: JobackEstimate

Estimate physical properties of chemicals using Joback fragmentation

Function Resource: BalabanJ

Compute the Balaban J index of an undirected graph or a molecule

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Function Resource: ZolotarevZ

Evaluate the Zolotarev polynomial

Function Resource: SzegedMatrix

Compute the Szeged matrix of an undirected graph or a molecule

Function Resource: MatrixGeometricMean

Compute the geometric mean of two matrices

Function Resource: MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

Function Resource: RadialDistributionFunctionList

Compute the relative probability of finding a point at a given distance from another point

Data Resource: Wood-Berry Distillation Model

Wood-Berry model of a distillation column

Data Resource: RLC Series Model

Model of a Resistor-Inductor-Capacitor (RLC) series circuit

Data Resource: Two-Stage Reactor Model

A model of a two-stage chemical reactor with delayed recycle

Function Resource: EpidemicModel

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

Neural Net Resource: EfficientNet Trained on ImageNet with AdvProp and AutoAugment

Identify the main object in an image

Neural Net Resource: EfficientNet Trained on ImageNet

Identify the main object in an image

Neural Net Resource: EfficientNet Trained on ImageNet with AutoAugment

Identify the main object in an image

Function Resource: BarningHallTree

Generate primitive Pythagorean triples in a tree form using Fibonacci matrices

Function Resource: StringsToVectors

Convert a set of text strings to numeric vectors

Function Resource: CubicMonotonicInterpolation

Interpolate data with a monotonic piecewise cubic Hermite interpolant

Function Resource: BLASTSearch

Analyze biological sequence similarity using Basic Local Alignment Search Tool

Function Resource: ReadabilityScore

Calculate the readability of a text using a standard formula

Function Resource: BulgarianStem

Find stems of Bulgarian words

Function Resource: BlockCellularAutomaton

Evolve a block cellular automaton

Function Resource: Spookify

Make your speech sound a bit spookier

Function Resource: NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

Function Resource: GenerationalMultiwaySystem

Compute the evolution of a generational multiway system and many associated properties

Function Resource: LayeredGraphPlot3D

Generate a layered 3D plot of a graph

Function Resource: SubstitutionSystemCausalPlot

Generate a plot illustrating causal features of substitution system evolution