Wolfram Resource System

Search the Wolfram Resource System

Search the Wolfram Resource System

Paclet Resource: Wolfram/VirtualMachine

Run virtual machines in the Wolfram Language

Paclet Resource: Wolfram/StylesheetTools

Utilities for creating and editing stylesheet notebooks

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/GitLink

Integrate git functionality into the Wolfram Language

Paclet Resource: Wolfram/CommandLineParser

Parser for command line arguments

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: Taggar/GERF

GERF expansion technique in Mathematica

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/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/GeographyData

Functions for geography

Paclet Resource: PeterBurbery/DimensionalAnalysis

A paclet for applications of dimensional analysis in physics and the engineering sciences

Paclet Resource: PeterBurbery/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

Paclet Resource: PeterBurbery/AssociationFunctions

Functions for modifying associations

Paclet Resource: KirillBelov/TelegramBot

Telegram Bot API client for the Wolfram Language

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

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: ChristopherWolfram/OpenAILink

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

Paclet Resource: BradleyAshby/NotebookWorkspaces

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

Paclet Resource: Bob/BaseballReferenceData

Import data from baseball-reference.com

Function Resource: ZXDiagramToQuantumDiscreteOperator

Convert a ZX-diagram into a discrete quantum operator

Function Resource: QuantumDiscreteOperatorToZXDiagram

Convert a discrete quantum operator into a ZX-diagram

Function Resource: ZXDiagramToQuantumDiscreteState

Convert a ZX-diagram into a pure quantum discrete state

Function Resource: QuantumDiscreteStateToZXDiagram

Convert a pure quantum discrete state into a ZX-diagram

Paclet Resource: QuantumMob/QuantumPlaybook

Three compilations of demonstrations in quantum physics

Function Resource: QuantumToMultiwaySystem

Simulate a quantum evolution as a multiway system

Function Resource: MakeZXDiagram

Make a diagrammatic representation of a linear map in the ZX-calculus

Data Resource: Pitt Quantum Repository

The Pitt Quantum Repository is a database and website of molecular quantum calculations, including visualization

Example Resource: Quantum Lock using Quantum Phase Estimation and Phase Kickback

Implement a quantum lock with qubits and qudits for ASCII character passwords

Function Resource: InformationPopup

Add a way to quickly access symbol information inline by displaying a popup

Paclet Resource: QuantumMob/Q3mini

The mini version of Q3, a symbolic quantum simulation framework on quantum systems

Function Resource: ProcessorInformation

Retrieve information on available processors

Function Resource: MutualInformation

Compute the mutual information of data samples or a multivariate distribution

Function Resource: CellInformation

Retrieve information about selected cells in notebook

Function Resource: QuantumTensorAutomaton

A quantum cellular automaton model that evolves the tensor product of a collection of initial qubits using arbitrary compositions of unitary operators for a finite number of steps

Function Resource: InformationAssociation

Return Information on an object as an Association between properties and values

Function Resource: SessionInformation

Get an association containing various session-related information

Paclet Resource: WallGo/WallGoMatrix

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

Function Resource: GraphicsInformation

Get information about the rendered form of a Graphics object

Function Resource: CombinatorEncode

Encode an SK combinator expression into a list of 0s and 1s

Function Resource: SystemInformationDataset

Get structured access to information about your system

Function Resource: SystemInformationInputs

Get inputs for extracting individual pieces of information about your system

Data Resource: High Energy Physics Theory Network

A collaboration and citation network on physics theory

Function Resource: PythonPackageInformation

Display information for a Python package

Data Resource: High Energy Theory Collaborations Network

Weighted network of collaborations between scientists posting preprints

Paclet Resource: GSberveglieri/Phi4tools

A collection of tools for Feynman diagrams in scalar field theories

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: PythonPackageInstallerInformation

Display the information about your Python package installer

Paclet Resource: DanielMcDonald/GroupTheoryPaclet

Extra functionality for finite group theory

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Data Resource: GDB-9 Database

Database of molecular quantum calculations

Paclet Resource: KlausSutner/Automata

Automata theory package

Function Resource: LieIrrepDimension

Get the classical or quantum dimension of an irreducible representation of a simple complex Lie algebra

Paclet Resource: LieART/LieART

Tools for Lie Algebras and Representation Theory

Function Resource: CausalGraphEntanglementEntropyNaive

Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the naive/fragile approach

Function Resource: CausalGraphEntanglementEntropyGeneralized

Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the generalized/robust approach

Paclet Resource: WolframChemistry/QuantumChemistry

Quantum Chemistry and Electronic Structure Functions

Paclet Resource: Taggar/MGroups

Mathematica package that implements some parts of finite group theory

Paclet Resource: QuantumMob/DrawingTools

A collection of Graphics and Graphics3D tools

Data Resource: VEHICLe

virtual exploratory heterocyclic library

Paclet Resource: Strangeworks/Strangeworks

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

Function Resource: HydrogenWavefunction

The position-space wavefunction of the hydrogen atom

Example Resource: Quantum Natural Gradient Descent via Variational Quantum Eigensolver

Optimize a variational quantum circuit using quantum natural gradient descent through VQE

Example Resource: Collapsing an Entangled Quantum State Through Projection

Explore quantum entanglement using ideas from linear algebra and quantum computation

Paclet Resource: DRalgo/DRalgo

DRalgo constructs an effective, dimensionally reduced, high-temperature field theory for generic models

Example Resource: Quantum Phase Estimation

Construct the quantum circuit to estimate the eigenphase (or phase) of a given eigenvector of a unitary operator

Function Resource: DysonTerms

Generate the nth term in the Dyson series of a time-dependent operator

Function Resource: HolderDoubleSine

Calculate the numerical value of the Hölder double sine function

Example Resource: Quantum State Visualization

Plot the Bloch vector or diagrammatic representation of a quantum state

Example Resource: Discovering Prime Numbers

Function Resource: FlattenFailure

Merge nested failure information

Function Resource: WindowsSystemData

Get information from the current Windows system about running processes, hardware, security settings and more

Example Resource: Convert Quantum Circuits To and From Qiskit

Example Resource: Quantum Fourier Transform

Generate a QFT circuit for any number of qubits

Function Resource: LindbladSolve

Solve the Lindblad master equation

Example Resource: Quantum Multiplexer Circuit

Construct a multiplexer circuit, also called a uniformly controlled gate

Function Resource: VerifyMTP

Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials

Example Resource: Numeric Evolution of a Quantum State

Evolve a quantum state in time, numerically

Example Resource: Trotterization Quantum Circuit

Construct a circuit for the Suzuki-Trotter decomposition of an exponential product of operators

Example Resource: Symbolic Evolution of a Quantum State

Evolve a quantum state in time, symbolically

Example Resource: Send Queries to Quantum Processing Units

Engage with multiple APIs and dispatch quantum tasks

Example Resource: Symbolic Computation for Quantum States

Compute measurements, transformations and more symbolically

Example Resource: Basis Transformation of Quantum States

Function Resource: PseudonymizeData

Consistently replace sensitive data values with UUIDs

Example Resource: Parameter Trajectories for Quantum Natural Gradient Descent

Compare quantum natural gradient descent and regular gradient descent

Example Resource: Quantum Natural Gradient Descent via Block Diagonalization

Optimize a variational quantum circuit using quantum natural gradient descent through block diagonalization

Example Resource: Symbolic Computation for Quantum Circuits

Data Resource: US Health Data Breaches

A list of breaches of unsecured protected health information affecting 500 or more individuals

Example Resource: Quantum Circuits with Amazon Braket

Interact with Amazon Braket through an AWS service connection

Example Resource: Quantum Circuit Noise Parameter Estimation

Estimate the parameters of the quantum channels modeling a noisy environment with optimization functions

Example Resource: Quantum Circuit Diagrams and Graphs

Visualize quantum circuits with custom labels and layout

Function Resource: AutomaticReport

Create an automatic report from a given text query

Function Resource: AbstractQuiver

Make an abstract model of a quiver (i.e. a directed multigraph) that forms the basis of an abstract category

Function Resource: EinsteinSolid

Make a simulation of the Einstein solid

Example Resource: CNOT Gate using Measurement-Based Quantum Computing

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

Function Resource: MatrixPartialTrace

Calculate a partial trace of a matrix

Function Resource: PlanckUnitConversion

Convert a quantity into Planck units

Example Resource: The Parameter-Shift Rule for Quantum Gates

Example Resource: Speed of Factoring

Function Resource: AbstractProduct

Represent the abstract product of an arbitrary collection of objects in an abstract category

Function Resource: AbstractCoproduct

Represent the abstract coproduct of an arbitrary collection of objects in an abstract category

Function Resource: AbstractCategory

Make an abstract model of a category (i.e. a collection of objects and morphisms obeying associativity and identity axioms)

Example Resource: Visualization of Quantum Measurement Probabilities

Visualize measurement results

Example Resource: Compute the Expectation Value of a Quantum Operator

Function Resource: AbstractPullback

Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category

Function Resource: AbstractPushout

Represent the abstract pushout of a collection of morphisms with common domain in an abstract category

Example Resource: Brouwer's Fixed Point Theorem on a Square

Find fixed points in topological mappings

Function Resource: SteganographyExtract

Extract a message that has been hidden in an image using the resource function SteganographyInsert

Function Resource: AbstractFunctor

Make an abstract model of a functor (i.e. a homomorphism between abstract categories)

Example Resource: Graph-state Quantum Circuit

Construct and work with a graph-state circuit based on a graph

Function Resource: VitaminData

Get information about vitamins and vitamers as well as nutritional information of foods

Function Resource: LLMTextualAnswer

Find textual answers via an LLM

Function Resource: MultiwaySemigroup

Simulate an arbitrary (potentially commutative) semigroup as a multiway system

Function Resource: MultiwayGroup

Simulate an arbitrary (potentially abelian) group as a multiway system

Function Resource: MultiwayMonoid

Simulate an arbitrary (potentially commutative) monoid as a multiway system

Function Resource: NotebookCellData

Get structured data about a notebook's cells

Example Resource: Periodic Table of Alkane Isomers

Build the periodic table for all the constitutional isomers of any alkane according to partial ordering theory

Example Resource: Recognize Molecules from Images

Search external databases for information on a Molecule object obtained from an image

Example Resource: Analyze an MBOX Email Archive

Extract timeline and sender information from an MBOX email archive file

Example Resource: Bit-Flip Noise Effect

Compute the effect of an incoherent bit-flip noise channel on the expected value of a quantum operator

Function Resource: ScrollingTicker

Display information in a scrolling ticker

Function Resource: ParityPairings

List all possible partitions of a list into disjoint pairs

Example Resource: Bernstein–Vazirani Algorithm

Construct the Bernstein–Vazirani quantum circuit for a given secret string

Function Resource: AbstractStrictMonoidalCategory

Make an abstract model of a category equipped with a strictly associative and unital tensor product structure

Function Resource: WignerMatrix

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

Function Resource: DivisorHasseDiagram

Generate a transitive reduction graph for the divisors of a positive integer

Example Resource: The Stochastic Parameter–Shift Rule

Differentiate qubit gates using the exact and approximate stochastic parameter–shift rule

Function Resource: EntityTooltip

Add an informational tooltip to any entity

Function Resource: SubgroupQ

Test if a group is a subgroup of another

Function Resource: GroupToCombinator

Create combinator expressions for each element of a specified group, as well as the group's operation

Function Resource: DedekindPsi

Evaluate the Dedekind psi function

Function Resource: MolienSeries

Compute the Molien series of a group

Function Resource: EnumerateHypergraphs

Enumerate possible ordered hypergraphs with a given signature

Example Resource: Lindblad Master Equation

Solving the quantum Liouvillian master equation

Function Resource: GetNetworkSpeed

Get information on your network's bandwidth

Function Resource: RiemannSum

Compute information related to a Riemann sum

Function Resource: KEGGGenome

Get information about a KEGG genome

Function Resource: UKPostcodeLookup

Find information associated with a UK postcode

Function Resource: WolframChallengesData

Retrieve information about Wolfram Challenges

Function Resource: EnsemblHomology

Retrieve homology information by species and gene

Function Resource: KEGGModule

Get information about a KEGG module

Function Resource: KEGGOrthology

Get information about a KEGG orthology

Function Resource: HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

Function Resource: Primorial

Evaluate the primorial

Function Resource: BlochSpherePlot

Plot the Bloch sphere

Function Resource: MacSystemProfiler

Get macOS system profiler information

Function Resource: KernelStatusGrid

Display status information and controls for named kernels

Data Resource: Combinator Birds

Information about 50 combinator functions

Example Resource: Minimal Coloring of Planar Graphs

Find a minimal coloring of the faces of a planar graph, including or excluding the outer face

Function Resource: WordGraph

Create a word graph

Function Resource: VertexStratify

Partition the vertices of a directed acyclic graph into time-ordered level sets

Function Resource: IntegerSpectralDecomposition

Determine the spectral decomposition of an integer in a modular number system

Function Resource: JordanTotient

Evaluate Jordan's totient function

Function Resource: ConditionedMultinormalDistribution

Calculate conditional and marginal distributions of the multivariate normal distribution

Function Resource: PalindromicTripleSum

Compute three palindromic numbers adding to a given integer

Function Resource: PolyhedralGraphFaces

Get the faces corresponding to a polyhedral graph

Function Resource: ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

Prompt Resource: Anonymize

Replace personally identifiable information in text with placeholders

Function Resource: IntegerSpectralBasis

Obtain a spectral basis of a modular number system

Function Resource: CurveFitReport

Display information related to fitting of a set of data

Function Resource: MonitorEvaluate

Display progress information during the evaluation of an expression

Function Resource: RandomBlockchainBlockData

Retrieve information about a random block on a blockchain

Function Resource: BlockEntropy

Calculate the joint information entropy of a data matrix

Function Resource: SpeciesGenomeSummary

Find genome information for a given taxonomic species

Function Resource: EnsemblPhenotype

Retrieve phenotype information associated with genomic variants

Function Resource: NineJSymbol

Evaluate the Wigner 9-j symbol

Function Resource: ProcessRunningQ

Check if a process, session or task is currently active

Data Resource: USDA Aggregate Tenant Data on Active Properties

Demographics and information on the USDA's active tenant properties

Function Resource: DVectorField

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

Function Resource: LaguerreGaussianBeam

Represent a Laguerre–Gaussian beam and its properties

Function Resource: StoneyUnitConversion

Convert a quantity into Stoney natural units

Function Resource: PrimesBetween

Make a list of all primes within a range

Function Resource: FractionMod

Get a congruent integer for a given fraction and modulus

Function Resource: FactorIntegerFermat

Factor an integer using Fermat's factorization algorithm

Data Resource: Sample Tabular Data: Sales Data

Sales data including customer and transaction information

Function Resource: ChromaticNumber

Compute the vertex chromatic number of a graph

Function Resource: GenericInvariant

Compute the generic invariant of a group

Function Resource: MolecularComplexity

Compute the molecular complexity of a given molecule

Function Resource: SudokuGraph

Generate an n-Sudoku graph

Function Resource: LinearCombination

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

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: DottedArrayPlot

Plot an array of values, with dots at specified positions

Function Resource: GraphRemoveLooseEnds

Remove low-valence vertices in a graph

Example Resource: Calculate Entanglement Monotones

Determine if [sub]systems are entangled and quantify the entanglement

Function Resource: RamanujanC

Evaluate Ramanujan's sum

Example Resource: Workings of the Deutsch-Jozsa Algorithm

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: BrazilPostcodeLookup

Find information and address details for a Brazilian postal code

Function Resource: CurveFitOverview

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

Function Resource: SportsFieldGraphics

Display information on the fields of play for various popular sports

Function Resource: ReactomePathways

Get pathways and additional information from the Reactome database

Function Resource: FunctionOverview

Get information about a real-valued univariate function

Function Resource: KEGGPathway

Get the graph of and additional information about a KEGG pathway

Function Resource: BioDBnetGeneData

Access information on genes available in major biological databases

Data Resource: USDA Summer Food Service Programs

Information about the Summer Food Service Program (SFSP)

Function Resource: WelchSpectralEstimate

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

Prompt Resource: Fictionalize

Replace personally identifiable information in text with fictionalized versions

Function Resource: XuIndex

Compute the Xu index of an undirected graph or a molecule

Function Resource: DistinctCompactBinaryHuffmanCode

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

Example Resource: Harrow–Hassidim–Lloyd (HHL) Algorithm

Numerically solve a system of linear equations using a quantum algorithm

Example Resource: Compute the Product of a Matrix and Vector using a Quantum Circuit

Function Resource: ChebyshevPsi

Calculate the value of the second Chebyshev function ψ(x)

Function Resource: ChebyshevTheta

Calculate the value of the first Chebyshev function θ(x)

Example Resource: Grover's Search Algorithm

Construct Grover's circuit to find solutions of a Boolean function

Function Resource: GenerateSmoothNumbers

Generate smooth numbers up to some maximum

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Function Resource: DeficientNumber

Compute the nth deficient number

Function Resource: SchultzMTI

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

Function Resource: PythagoreanTripleQ

Determine whether a triple of integers constitutes a Pythagorean triple

Function Resource: RightTriangleQ

Determine whether a list of side lengths can form a right triangle

Function Resource: FermatPrime

Find the nth Fermat number that is also a prime number

Function Resource: EulerPhiInverse

Get the list of integers whose Euler totients are equal to a given value

Function Resource: NCBIGenomicSNPData

Retrieve information on reference SNPs from the NCBI database

Function Resource: Kurvendiskussion

Get a dynamic plot of a univariate function along with supplemental information

Function Resource: WolframModelData

Retrieve information on a Wolfram model from the Registry of Notable Universes

Function Resource: WikiPathways

Get pathways and additional information from the WikiPathways database

Function Resource: RecentResourceFunctions

Get information about the most recently-released resource functions

Example Resource: Arbitrary Single Qubit Gate using L(4) Cluster State

Perform three equatorial measurements to a linear cluster state to obtain a general one qubit transformation

Function Resource: ResistanceMatrix

Get the resistance matrix of a graph

Function Resource: Totatives

Get the integers from 1 to n that have no common proper factor with n

Example Resource: Analyzing CHSH Game Strategies

Model the CHSH game using quantum entanglement

Function Resource: Sumset

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

Function Resource: SuperperfectNumberQ

Check whether a number is a superperfect number

Function Resource: AdjacencyHypergraph

Compute the hypergraph with a specified adjacency tensor

Function Resource: AbundantNumber

Compute the nth abundant number

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: UlamMatrix

Generate the Ulam matrix

Function Resource: AdjacencyTensor

Compute the adjacency tensor of an arbitrary hypergraph

Data Resource: NYC Jobs, Aug 2015 - Aug 2016

Information about NYC jobs for Aug. 2015 - Aug. 2016

Data Resource: Olympic Hosts

Dataset containing information about all historical Olympic hosts

Function Resource: SquareSpiralPoints

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

Function Resource: ZolotarevZ

Evaluate the Zolotarev polynomial

Example Resource: Generate the Isomers of Decane

Add carbon atoms to methane one by one to exhaustively list all alkanes with up to 10 carbon atoms

Function Resource: TopolyFunction

Obtain topological information of polymers or biopolymers and other simple or complex structures

Function Resource: StackTicker

Display information from the evaluation stack during long-running evaluations

Function Resource: GBIFImport

Import occurrences from Global Biodiversity Information Facility (GBIF) data

Function Resource: LorentzCoordinate2D

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

Function Resource: InteractiveConicPlot

Display an interactive plot with all relevant information for a given conic section

Function Resource: SchmidtArrangements

Generate Schmidt arrangements of circles

Function Resource: RandomComposite

Find a random composite number or set of random composite numbers

Function Resource: FindProperColorings

Find all proper k-colorings of a specified graph

Function Resource: DeBruijnNewmanH

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

Function Resource: FindEquationalCounterexample

Try to find a counterexample to an equational hypothesis in a given system of axioms

Function Resource: CurvedSpacetimeSprinkling

Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function

Function Resource: FibonacciQ

Check if a given number is a Fibonacci number

Function Resource: FlatSpacetimeSprinkling

Produce random causal graphs by sprinkling points into flat (Minkowski) spacetime

Data Resource: Sample Tabular Data: Fatal Collisions

Information on drivers involved in fatal car collisions (per billion miles)

Data Resource: DHL Facilities

Information about U.S. DHL facilities, including exact locations

Data Resource: The Human Lymphatic System

A three-dimensional graph, where lymphatic organs and junctions are modeled as nodes and lymphatic vessels as edges

Function Resource: ThermodynamicBetheAnsatzSolve

Solve integral equations of the thermodynamic Bethe ansatz type

Example Resource: Schrodinger's Equation in a Two-Dimensional Stadium

Find the eigenmodes of a massive particle contained within a stadium-shaped enclosure

Function Resource: CurvedSpacetimeRegionSprinkling

Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime

Function Resource: FindFoodUK

Find information on food businesses in the UK using the Food Standards Agency database

Function Resource: DeepSpaceNetData

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

Function Resource: GeneOntologyData

Access hierarchical relation and associated gene product information for Gene Ontology concepts

Function Resource: LuckyNumbers

Get a list of lucky numbers

Data Resource: Urbana Police Traffic Stops

Urbana Police traffic stop motivation information from 2012 to September 2018

Data Resource: Nuclear Latency Dataset

Facility-specific information on sensitive nuclear plants constructed from 1939 to 2012

Function Resource: DeficientNumberQ

Check whether an input is a deficient number

Function Resource: AbundantNumberQ

Check whether an input is an abundant number

Function Resource: BandWeaver

Turn polylines into woven bands

Function Resource: ExponentLift

Compute the p-adic valuation for certain integers using the lifting-the-exponent lemma

Function Resource: TableauxToPermutation

Get a permutation corresponding to two Young tableaux

Paclet Resource: ToneAr/Kyber

Wrapper for the Kyber KEM

Function Resource: ChebyshevNodes

Produce Chebyshev nodes

Function Resource: FindFanoPlaneIsomorphism

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

Function Resource: DirectedAcyclicEvaluate

Evaluate functions locally over any directed acyclic graph

Example Resource: Conformations of Cyclohexane

Obtain the symmetries, energies and other properties of the different conformations of cyclohexane

Data Resource: United States Hail Storms 1955-2015

Information on severe hail storms in the US, including injury and property loss data

Data Resource: US Federal Reserve Systems

Detailed location information for all U.S. Federal Reserve Banks and Branches

Data Resource: Sample Tabular Data: New Mothers

Information on new mothers from 1978 through 1988 from NLSY79

Data Resource: FedEx Facilities

Information about U.S. FedEx facilities, including exact locations

Data Resource: Structure of Euclid's Elements

Textual information of definitions, common notions, postulates, and theorems from Euclid’s Elements

Function Resource: HurwitzMatrix

Generate the Hurwitz matrix of a univariate polynomial

Function Resource: SchurMatrix

Generate the Schur matrix of a univariate polynomial

Function Resource: CartesianTree

Generate a Cartesian tree for a given input list

Function Resource: HarshadNumberQ

Test if a number is a harshad number

Function Resource: GBIFSearch

Search for taxa occurrences using the Global Biodiversity Information Facility (GBIF) Occurrences API

Function Resource: AncestralNestTree

Grow Tree objects by iteratively adding children to leaves using information from their ancestors

Example Resource: Schrödinger Equation for the Linear Harmonic Oscillator

Find the first few eigenvalues and eigenfunctions

Function Resource: MixedEulerianGraphQ

Test if a strongly connected mixed graph is Eulerian or unicursal

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Data Resource: Languoid EntityStore

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

Data Resource: Japanese-English Subtitle Corpus

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

Data Resource: Japanese-English Legal Parallel Corpus

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

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer

Function Resource: EulerizeGraph

Add edges to a graph to make it Eulerian

Function Resource: KirchhoffTensor

Compute the Kirchhoff tensor (Laplacian) of an arbitrary hypergraph

Function Resource: KirchhoffHypergraph

Compute the hypergraph with a specified Kirchhoff tensor (Laplacian)

Function Resource: WienerIndex

Compute the Wiener index of a graph

Function Resource: BalabanJ

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

Function Resource: MultiwayTuringMachine

Simulate a nondeterministic Turing machine evolution as a multiway system

Function Resource: MultiwayFunctionSystem

Compute the evolution of a multiway system based on function evaluation over the integers

Function Resource: FindNumberSequence

Generate an association of information containing a qualifying sequence, its start position and its digit path

Function Resource: GraphElementData

Get information about named functions used in VertexShapeFunction and EdgeShapeFunction

Function Resource: Cartogram

Generate geometrically distorted maps, where the distortion conveys information derived from the input data

Function Resource: SignChart

Get a number line diagram with information about where a function is positive, negative, zero or discontinuous

Example Resource: Molecular Point Groups Describing the Symmetry of a Molecule

Detect molecular point groups describing the symmetry of a molecule

Data Resource: Sample Data for Query Book

Data to support the Wolfram Media book Query: Getting Information from Data with the Wolfram Language

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: BarningHallTreePosition

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

Function Resource: AlphaBetaSearch

Find solutions to perfectly played combinatorial games

Data Resource: Meteorite Landings

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

Function Resource: IntegerRadical

Return the radical of an integer, the product of its distinct prime factors

Function Resource: PerfectPower

Find all perfect power representations of an integer

Function Resource: PhiNumberSystem

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

Function Resource: PerfectPowerQ

Determine whether a given integer is a perfect power

Function Resource: CousinPrimes

Get the pairs of primes that differ by 4

Function Resource: SexyPrimes

Get the pairs of primes that differ by 6

Function Resource: FrobeniusSymbolFromPartition

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

Function Resource: PartitionFromFrobeniusSymbol

Construct the corresponding partition, given a Frobenius symbol

Function Resource: Composite

Get the nth composite number

Function Resource: Game24Solutions

Find the list of solutions to the 24 Game by trying all possible options

Data Resource: Human Protein Protein Interaction Network Genes

Dataset containing information on all protein coding genes in the Human Protein Protein Interaction Network (PPIN)

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.

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Function Resource: HardSphereSimulation

Simulate hard spheres moving in an n-dimensional box

Function Resource: RandomDyckWord

Generate a pseudorandom Dyck word

Function Resource: InactiveSumOfPowers

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

Function Resource: NominatimData

Look up information about a given location from the OpenStreetMap Nominatim public web service

Function Resource: Fibbinary

Get the fibbinary sequence

Function Resource: PrimeQCertificateCheck

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

Function Resource: MagicCube

Generate a magic cube

Function Resource: SqrtSpace

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

Example Resource: Molecular Vibrations

Plot an IR spectrum and animate vibrational modes using quantum chemistry results

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Paclet Resource: WolframInstitute/PiMachine

Universal Reversible Machine

Function Resource: WeakPathGraphs

Create path graphs between two vertices in a graph where the paths are constructed without consideration of the direction of the edges

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Function Resource: GaussianIntegerQ

Determine if a number is a Gaussian integer

Function Resource: DyckWords

Give all possible ways to form proper brackets

Function Resource: PartitionRank

The largest part minus the number of parts of a partition

Function Resource: ZeckendorfRepresentation

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

Function Resource: ZetaSimplify

Simplify zeta functions in expressions

Function Resource: FromNegabinary

Recover an integer from its negabinary representation

Function Resource: PartitionCrank

Get Dyson's crank of an integer partition

Function Resource: SmallestPartsFunction

Total number of smallest parts in the partitions of a positive integer

Function Resource: ToNegabinary

Get the negabinary representation of an integer

Function Resource: FubiniNumber

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

Function Resource: UlamSequence

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

Function Resource: VizingEdgeColoring

Give a simple undirected graph a proper edge coloring using at most one color more than necessary

Function Resource: SzegedMatrix

Compute the Szeged matrix of an undirected graph or a molecule

Function Resource: HalfGCD

Compute the half-GCD of a pair of integers

Function Resource: SafePrimeQ

Determine whether a number is a safe prime

Function Resource: StrongPrimeQ

Determine whether a number is a strong prime

Function Resource: SophieGermainPrimeQ

Determine whether a number is a Sophie Germain prime

Function Resource: TetrationMod

Get the mod value of large exponential towers

Function Resource: ProvablePrimeQ

Certify a number as provably prime

Function Resource: BinomialMod

Efficient computation of a binomial coefficient modulo a given number

Function Resource: IntegerPartitionQ

Check whether the argument is a weakly decreasing list of positive integers

Function Resource: FactorialMod

Fast factorial modulo a given number

Function Resource: FareyRange

Generate a list of fractions with a bounded denominator

Function Resource: TriangularSets

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

Data Resource: Coauthorships in Network Science Network

Weighted network of coauthorships between scientists working on network science

Example Resource: Properties of the Planck Radiation Law

Explore properties of electromagnetic radiation emitted by bodies at given temperatures

Function Resource: Goldbach

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

Function Resource: BinetFibonacci

Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula

Function Resource: TwinPrimes

Get the pairs of primes that differ by 2

Function Resource: Alphametic

Solve an alphametic puzzle

Function Resource: LargestPrimeGap

Give the greatest gap between the primes up to the argument

Function Resource: QuadraticResidueAcousticDiffuser

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

Function Resource: EulerianNumber

Get the number of permutations with a given number of ascents

Function Resource: WastefulNumberQ

Test whether an integer is a wasteful number

Function Resource: BalancedTernary

Convert integers to and from balanced ternary

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Paclet Resource: Wolfram/CodeEquivalenceUtilities

Utilities for testing code equivalence

Data Resource: California Urban Water Supplier Monitoring Reports

Monthly reports of the larger urban water suppliers in California on water production and conservation activities, from the State of California's Drinking Water Information Clearinghouse (DRINC)

Function Resource: FromNumberExpansion

Rational approximation of a real number using different kinds of commonly known series expansions

Function Resource: Mediant

Compute the mediant of a list of non-negative rationals

Function Resource: NextIntegerComposition

Get the next composition of an integer in canonical order

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: SimultaneousRationalize

Approximately rationalize a set of numbers to give a common denominator

Function Resource: IntegerCompositions

Generate all compositions of an integer into the specified number of parts

Function Resource: StrictIntegerCompositions

Generate the zero-free compositions of a positive integer

Function Resource: EgyptianFraction

Compute Egyptian fractions using different methods

Function Resource: InverseGrayCode

Find the integer corresponding to a given Gray code

Function Resource: FormatFactorization

Express an integer factorization as it would be seen in a factorization table

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

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: FaurePoint

Get a point belonging to the Faure sequence

Function Resource: Tetration

Compute the order-k tetration of a number

Function Resource: PolygonalDiagram

Show an array of polygonal numbers

Function Resource: EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource: QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

Data Resource: Washington, D.C. Metro Stations

The District provides a large quantity of government information available to the public. The Open Data Catalog provides hundreds of District government datasets, available as raw downloads in a variety of formats, and through APIs.

Data Resource: Washington, D.C. Metro Bus Stops

The District provides a large quantity of government information available to the public. The Open Data Catalog provides hundreds of District government datasets, available as raw downloads in a variety of formats, and through APIs.

Function Resource: PowerTowerMod

Give the remainder on division of a power tower expression

Function Resource: IntegerPartitionFrequency

Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions

Function Resource: DobbleSets

Generate a set of integers that can create Dobble cards

Function Resource: SmallIntegerLinearSolve

Find a small solution to a system of linear equations over the integers

Function Resource: Collatz

Get the Collatz sequence starting with a given value

Function Resource: FibonacciEncode

Fibonacci-digit encoding for a number

Function Resource: QuasiPerfectNumberQ

Test whether an integer is a quasiperfect number

Function Resource: CatalanRank

Find the rank of a totally balanced binary sequence

Function Resource: EisensteinE

Evaluate the Eisenstein series

Function Resource: RandomSafePrime

Compute one or more safe primes in a requested range

Function Resource: ReasonableRuler

Find a near-minimal set of marks for an integer length ruler so that all smaller integer distances are measurable

Function Resource: GramianReduce

Find a unimodular conversion matrix corresponding to a lattice Gramian matrix

Function Resource: HappyNumberQ

Test whether an integer is a happy number

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

Identify the main object in an image

Neural Net Resource: DoubleU-Net Trained on Medical Image Segmentation Datasets

Segment medical images performing a task-dependent binary classification

Data Resource: The Big Mac Index

The Big Mac index, published by The Economist from 2000 to 2018.

Function Resource: ChessTourGraph

Generate a chessboard graph where vertices are squares and edges represent legal moves of a chosen piece

Function Resource: Cos2PiOverFermatPrime

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

Function Resource: PascalsTriangle

Display a given number of rows in Pascal's triangle

Function Resource: SolveSudokuPuzzle

Solve a sudoku puzzle

Function Resource: FactorGraph

Get a graph representation for the factorization of an integer

Example Resource: Hermitian into Unitary Transformation

Use the parameter-shift rule to implement a unitary gate corresponding to an operator

Paclet Resource: DanieleGregori/ArXivExplore

ArXivExplore helps the deep data analysis of all research articles on arXiv

Data Resource: US State Income

United States per capita income by state

Data Resource: 2015 Chicago Marathon Data

2015 Chicago Marathon participant data

Function Resource: MultiwayOperatorSystem

Simulate the evaluation of a formal operator expression as a multiway system

Data Resource: MLS Players' Salaries

The Major League Soccer Players Union serves as the exclusive collective bargaining representative for all current players in Major League Soccer. Formed in April 2003, the Union ensures protection of the rights of all MLS Players, while also promoting their best interests.

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

Segment objects in an image

Data Resource: Patient Medical Data for Novel Coronavirus COVID-19

Medical records of patients infected with novel coronavirus COVID-19 (This data was imported and made computable on August 31, 2020.)

Data Resource: WMO Meteorological Stations

WMO meteorological observation sites

Data Resource: New York State Child Care Programs

Child care programs in New York state

Data Resource: Sample Data: Pacific Walrus Haulouts

Congregations of Pacific walruses off the coast of U.S. and Russia, 1852-2016

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.

Data Resource: Historical US Legislators

Members of the United States Congress, 1789-present

Data Resource: PGP Network

The network of users of the Pretty-Good-Privacy algorithm

Function Resource: OEISSequence

Return the list provided by the OEIS for a given OEIS sequence number

Data Resource: FDIC Institution EntityStore

A Wolfram Language EntityStore with selected data on FDIC insured institutions

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

Generate an answer to a question given an image

Function Resource: FindWolframModelProof

Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system

Function Resource: FindListProof

Try to find a proof of equivalence between lists in a given multiway system

Function Resource: FindStringProof

Try to find a proof of equivalence between strings in a given multiway system

Data Resource: Geotagged Public Tweets (Europe, April 6-8 2016)

Public Twitter statuses

Data Resource: USDA National Hunger Clearinghouse

Locations of food resources in communities, including summer meals for children

Data Resource: Linear Codes

Linear codes provide an optimal way for transmitting blocks of data over noisy channels

Function Resource: PrintDefinitionCases

Find definitions for symbols in a context using a pattern, getting highlighted occurrences of it

Function Resource: PrettyForm

Print human-readable form of complex expressions

Function Resource: PrintDefinitions

Browse a list of hyperlinked definitions associated with a symbol

Data Resource: Free Code Camp New Coder Survey 2016

Results from Free Code Camp's 2016 survey of new coders

Data Resource: US Census Mean Household Income Data

Census Bureau

Data Resource: USDA Rural Housing Active Projects

Data on the USDA's rental properties and labor housing types

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

Find the similarity score between a text and an image

Function Resource: FindCombinatorProof

Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus

Data Resource: Food Access Research Atlas

The USDA's comprehensive report on food accessibility in America

Data Resource: UFO Sightings 2015

Dataset of UFO sightings in the United States in 2015

Data Resource: U.S. Baby Names By State

A comprehensive list of frequencies of baby names in the U.S, listed by year and state, since 1910

Data Resource: U.S. Baby Name Trends By State

A comprehensive list of time series for baby names in the U.S, listed by state, since 1910

Data Resource: Dust Frequency by WMO Station

Average annual and monthly number of days with dusty weather for Iran, Jordan, and Saudi Arabia

Data Resource: SNAP Retailers

A comprehensive list of all retailers accepting SNAP payments in the U.S.

Function Resource: FindEquationalPath

Find a path that goes from one expression to another with a sequence of replacements

Function Resource: Arity

Compute the arity of a function

Data Resource: HCAHPS Patient Care Survey

Responses from a standardized survey on the quality of American hospital care

Data Resource: California Crop Mapping

Dataset of agricultural land use and irrigated acres in California

Data Resource: Fog Frequency by WMO Station

Average annual and monthly number of days with fog for 22 nations

Data Resource: Rain Frequency by WMO Station

Average annual and monthly number of days with rain for 28 nations

Data Resource: Snowfall Frequency by WMO Station

Average annual and monthly number of days with snowfall for 9 nations

Data Resource: U.S. Farmers Markets

A comprehensive directory of U.S. farmers markets

Data Resource: FAA Wildlife Strikes

All reports of birds and other wildlife striking aircraft in the U.S. since 1990

Data Resource: Free Association Norms Network

Network showing the results from a free association norm experiment

Data Resource: Thunder Frequency by WMO Station

Average annual and monthly number of days with thunder

Data Resource: Commuter-Adjusted Daytime Population by U.S. State

2006-2010 data on daytime commuting patterns in the U.S.

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

Classify β-Thalassemia severity levels based on hemoglobin variant patterns

Data Resource: Overcast Frequency by WMO Station

Average annual and monthly number of days without sunshine

Function Resource: ResourceFunctionDefinitionViewer

View the definitions of a resource function along with its dependencies

Data Resource: Stack Overflow Survey 2016

Results from Stack Overflow's 2016 Developer Survey

Data Resource: Equity in U.S. GED Programs

A report on the equity of school districts and their GED programs across the U.S. during the 2013-14 school year

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

Data Resource: New York City Elevators

List of registered elevator devices in New York City

Function Resource: InteractiveGraphics

Create an interactive version of a graphics expression with zooming, panning and tooltips

Function Resource: ShowDefinitions

Get a browsable, hyperlinked definition of a symbol

Function Resource: ImportOnce

A version of Import which uses a cache of the result unless the source file has changed

Data Resource: Commuter-Adjusted Daytime Population by U.S. County

2006-2010 data on daytime commuting patterns in the U.S.

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: FromISOTimestamp

Parse a string in ISO 8601 format to a DateObject

Example Resource: Build a Classifier to Detect the Language of a Text

Import French, English, German, and Spanish texts from the web to use to train a classifier

Example Resource: Train a Classifier on the UCILetter Dataset

Function Resource: ZassenhausTerms

Generate terms in the Zassenhaus formula

Function Resource: GellMannMatrix

Generalized Gell-Mann matrix

Function Resource: MagnusTerms

Generate terms in the Magnus expansion of a time-dependent operator

Function Resource: StratonovichProcessChangeVariables

Perform a change of state variables for a Stratonovich stochastic process

Function Resource: BakerCampbellHausdorffTerms

Generate terms in the Baker–Campbell–Hausdorff expansion

Function Resource: ItoProcessChangeVariables

Perform a state variable change for an Ito stochastic process

Function Resource: SummarizeDefinition

Generate the definition of a symbol using natural language

Function Resource: AIAssistant

Open a notebook to chat with an AI programming assistant

Function Resource: BirdChat

Open a notebook to chat with a cool bird

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Data Resource: Commuter-Adjusted Daytime Population by U.S. Place

2006-2010 data on daytime commuting patterns in the U.S.

Function Resource: ChemicalNameToSMILES

Convert a chemical name into a SMILES identifier string

Function Resource: NCBIEntrezData

Access biomedical data in the NCBI Entrez system

Function Resource: SymbolCases

Find symbols whose definition contains specified pattern

Data Resource: Sample Data: Stackloss Plant

Brownlee's stack loss plant data.

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: Obando/CAGenetics

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

Data Resource: State of the Union Addresses

Complete text of State of the Union addresses from 1790 to 2024

Data Resource: Toy Train Model

A model of a toy train

Data Resource: Common Knots, Hitches, and Bends

A dataset with common knot names, alternative names, categories, and use cases

Data Resource: Food Carbon Footprint

Greenhouse gas emissions during production of common foods

Data Resource: Opinions of John Marshall and Joseph Story

All the Supreme Court opinions of Chief Justice John Marshall and Justice Joseph Story

Data Resource: Syllabified English Words

More than 76,000 English words with syllable breaks

Data Resource: Sample Data: Fin Pines

Locations of pine trees annotated with diameter (in centimeters) and height (in meters) marks

Data Resource: Wolfram Language SoundNote Styles

Listing of styles available to SoundNote

Data Resource: LEGO Colors

Color specifications and names used for LEGO bricks

Data Resource: The Busy Beaver Competition

Current Busy Beaver Records, winning Turing Machines and references

Data Resource: 2024 Paris Olympic Games Venues

Dataset containing the names and locations of the venues of the 2024 Paris Olympic Games

Data Resource: Videos of the 2017 Solar Eclipse

Videos captured by Stephen Wolfram at the 2017 total solar eclipse

Data Resource: Whisper Models

Models to be used within the WhisperLink paclet

Data Resource: ATP Tennis Singles Matches

Details about all ATP tennis singles matches from 1968 to 2024

Data Resource: LLMBenchmarks Data

Results from the Wolfram LLM Benchmarking Project

Data Resource: Steiner Systems

Sets of blocks where every possible pair or triple of symbols is in a unique block

Data Resource: Periodic Patterns

A list of binary and ternary periodic pattern generators grouped by colors and periodicity

Data Resource: Yearly Sunspot Data

Yearly (1700-2008) data on sunspots from the National Geophysical Data Center

Data Resource: Federal Lands of the United States

Lands owned or administered by the Federal government

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: Executions in the United States

A dataset about executions (the death penalty) in the United States since the 1976 Supreme Court decision in Gregg v. Georgia (428 U.S. 153)

Data Resource: Mammals in MZNA-VERT

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

Function Resource: TranscendentalRange

Generate ranges of transcendental numbers

Function Resource: WolframMark

Run the standard Wolfram Language benchmark

Function Resource: DensityMatrixToStateMultipole

Represent matrix elements via density state multipoles (statistical tensors)

Function Resource: StateMultipoleToDensityMatrix

Represent state multipoles (statistical tensors) via density matrix elements

Function Resource: GetPubMedIdentifiers

Find the PubMed entries corresponding to a given identifying NCBI succession for a biological sequence

Function Resource: NCBIVirusGenomeData

Retrieve virus genome data, including the associated sequence and metadata

Function Resource: DefinitionData

Store full definitions for a symbol in a compact object

Function Resource: LommelR

Evaluate the Lommel polynomial

Function Resource: HyperellipticODE

Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves

Function Resource: MakeEllipticFunction

Build an elliptic function with given periods, zeros and poles

Function Resource: SchlaefliS

Evaluate the Schläfli polynomial

Function Resource: Biorhythm

Show your biorhythms

Function Resource: PseudoConjugatePartition

Compute the pseudo-conjugate of an integer partition

Function Resource: ScorerGiZero

Find zeros of the ScorerGi function

Function Resource: MotzkinM

Evaluate the Motzkin number

Function Resource: Exspheres

Find the exspheres of a triangle or tetrahedron

Data Resource: Zachary's Karate Club Network

Social network of friendships

Prompt Resource: CodeDocAnnotator

Generate markup documentation annotations

Example Resource: Distinguish Daytime from Nighttime Pictures

Train a simple classifier to distinguish daytime photos from nighttime ones

Data Resource: Irish-Viking Networks in 'Cogadh Gaedhel re Gallaibh'

Graph datasets for Irish and Viking character relationships in the medieval Irish text 'Cogadh Gaedhel re Gallaibh' ('The War of the Gaedhil with the Gaill')

Function Resource: DihedralODE

Find the ordinary differential equation constraining periods of certain symmetrical curves

Function Resource: TensorPureFunction

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

Function Resource: PointGroupSymbol

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

Data Resource: Kyoto Free Translation Task Data

A parallel corpus for the evaluation and development of Japanese-English machine translation systems

Data Resource: Online Social Network

Social network of an online community

Function Resource: CreateSortableUniqueID

Create a K-Sortable Unique Identifiers hexadecimal string

Function Resource: LogarithmicNorm

Evaluate the logarithmic norm of a square matrix

Function Resource: NeumannO

Evaluate the Neumann polynomial

Data Resource: U.S. State Fairgrounds

Locations for United States State and Regional Fairs

Function Resource: ImportSheetData

Interactively import data from a spreadsheet

Function Resource: ContextDependencies

Determine how symbols in a first context depend on symbols in a second context

Paclet Resource: AntonAntonov/SalvoCombatModeling

Heterogeneous salvo combat modeling

Function Resource: OpticalFieldModeling

Model non-paraxial optical field interference and diffraction experiments under arbitrary spatial coherence

Function Resource: TripleGamma

Evaluate the triple gamma function

Data Resource: US State Fairgrounds

The National Geospatial-Intelligence Agency (NGA) delivers geospatial intelligence that provides a decisive advantage to policymakers, warfighters, intelligence professionals and first responders.

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

Function Resource: WolframHausdorffDimension

Compute the Wolfram–Hausdorff dimension of a graph and its associated properties

Function Resource: WolframRicciCurvatureTensor

Compute projections of the Wolfram–Ricci curvature tensor of a graph and many associated properties

Function Resource: TuringMachineGlocalBranchialGraph

Generate a graph of branch pair ancestry for a nondeterministic Turing machine "glocal" (hybrid of global and local) multiway system

Function Resource: TuringMachineGlocalMultiwaySystem

Simulate the evolution of a nondeterministic Turing machine as a "glocal" (hybrid of global and local) multiway system

Function Resource: ListGlocalMultiwaySystem

Simulate the evolution of a list substitution system as a "glocal" (hybrid of global and local) multiway system

Function Resource: WolframModelGlocalMultiwaySystem

Simulate the evolution of a Wolfram model system as a "glocal" (hybrid of global and local) multiway system

Function Resource: CombinatorGlocalBranchialGraph

Generate a graph of branch pair ancestry for a combinator evaluation "glocal" (hybrid of global and local) multiway system

Function Resource: CrossNodeGridGraph

Create cross-linked grid graphs

Function Resource: IntrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function

Function Resource: FlatManifoldToGraph

Produce random spatial graphs by sprinkling points into a flat (Euclidean) Riemannian manifold

Function Resource: ExtrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature

Function Resource: WolframRicciCurvatureScalar

Compute the Wolfram–Ricci scalar curvature of a graph and its associated properties

Function Resource: WolframModelGlocalBranchialGraph

Generate a graph of branch pair ancestry for a Wolfram model "glocal" (hybrid of global and local) multiway system

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

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

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

Function Resource: PetriNetMultiwayEvolution

Evolve a Petri net configuration by applying all possible transition firings

Function Resource: MultiwayPetriNet

Simulate the evolution of a Petri net configuration as a multiway system

Function Resource: PetriNetNondeterministicEvolution

Evolve a Petri net configuration nondeterministically by randomly selecting one possible transition firing at each step

Function Resource: MakePetriNet

Make an abstract representation of a Petri net configuration

Function Resource: MultiplicativePersistence

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

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: RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

Function Resource: MultiwaySystem

Compute the evolution of a multiway system and many associated properties

Function Resource: MultiwayCombinator

Simulate the evaluation of a combinator expression as a multiway system

Function Resource: ListGlocalBranchialGraph

Generate a graph of branch pair ancestry for a list substitution "glocal" (hybrid of global and local) multiway system

Function Resource: CombinatorGlocalMultiwaySystem

Simulate the evaluation of a combinator expression as a "glocal" (hybrid of global and local) multiway system

Function Resource: StringGlocalBranchialGraph

Generate a graph of branch pair ancestry for a string substitution "glocal" (hybrid of global and local) multiway system

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

Function Resource: StringGlocalMultiwaySystem

Simulate the evolution of a string substitution system as a "glocal" (hybrid of global and local) multiway system

Data Resource: SQuAD v1.1

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

Data Resource: Mauna Loa Weekly Atmospheric CO2 Concentration

Atmospheric CO2 concentration from continuous air samples at Mauna Loa Observatory

Data Resource: Babe Ruth Home Runs

Details about every regular-season major league home run hit by Babe Ruth

Function Resource: StressEnergyTensor

Represent a stress-energy tensor (field) over a Riemannian or pseudo-Riemannian manifold

Function Resource: ExtrinsicCurvatureTensor

Represent the extrinsic curvature tensor field for a Riemannian submanifold

Function Resource: RicciTensor

Represent the Ricci curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource: ADMDecomposition

Represent a canonical decomposition of the metric for a Riemannian or pseudo-Riemannian manifold via the ADM formalism

Function Resource: ChristoffelSymbols

Represent the Christoffel symbols for (the Levi-Civita connection over) a Riemannian or pseudo-Riemannian manifold

Function Resource: SolveVacuumADMEquations

Determine whether a given ADM decomposition is a solution to the vacuum ADM equations

Function Resource: RiemannTensor

Represent the Riemann curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource: MetricTensor

Represent a metric tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource: SolveEinsteinEquations

Determine whether a given stress-energy tensor (field) is a solution to the Einstein field equations

Function Resource: SolveVacuumEinsteinEquations

Determine whether a given Riemannian or pseudo-Riemannian manifold is a solution to the vacuum Einstein field equations

Function Resource: EinsteinTensor

Represent the Einstein curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource: DiscreteHypersurfaceDecomposition

Decompose a Riemannian or pseudo-Riemannian manifold into a union of discrete hypersurfaces

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Function Resource: AxisAngle

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

Function Resource: BranchPairs

Compute branch pairs for a given multiway system

Function Resource: BranchPairResolutions

Compute branch pair resolutions for a given multiway system

Function Resource: MultiwayEvolutionPlot

Plot the evolution of a multiway system

Function Resource: CanonicalBranchPairs

Compute canonical branch pairs for a given multiway system

Function Resource: CurvedSpacetimeTriangulation

Produce causal graphs by dynamically triangulating a specified region of a (potentially curved) spacetime

Function Resource: CausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: TotalCausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: CanonicalKnuthBendixCompletion

Compute the canonical Knuth-Bendix completion for a given multiway system

Function Resource: KnuthBendixCompletion

Compute the Knuth-Bendix completion for a given multiway system

Function Resource: FlatSpacetimeTriangulation

Produce causal graphs by dynamically triangulating a flat (Minkowski) spacetime

Function Resource: GenerationalMultiwaySystem

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

Function Resource: NewtonCompanionMatrix

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

Function Resource: RuledSurfacePlot

Plot a ruled surface

Data Resource: SQuAD v2.0

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

Data Resource: Gridded World Population Density

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

Function Resource: TakagiT

Evaluate the Takagi function

Function Resource: EpidemicModel

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

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Function Resource: PaduaPoints

Generate Padua points for bivariate interpolation and cubature

Function Resource: KrawtchoukMatrix

Generate a Krawtchouk matrix

Function Resource: PaduaInterpolation

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

Data Resource: United States Supreme Court Decisions 1946-present

Datasets relating to Supreme Court cases from 1946 to present

Function Resource: ScalarPureFunction

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

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Data Resource: Solid Waste Landfill Facilities

Oak Ridge National Laboratory is the largest US Department of Energy science and energy laboratory, conducting basic and applied research to deliver transformative solutions to compelling problems in energy and security.

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 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

Data Resource: Sample Data: Satellite

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

Data Resource: Sample Data: UCI Letter

Letter recognition dataset

Function Resource: IteratedMap2D

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