Wolfram Resource System

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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/QuantumFramework

Perform analytic and numeric quantum computations

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/ErrorTools

Prototype implementation of next-generation error handling for Wolfram Language, from the Error Handling Working Group (EHWG)

Paclet Resource: Wolfram/CommandLineParser

Parser for command line arguments

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: TheRealCStover/Trigonometry

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

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/LinearAlgebraPaclet

A paclet for linear algebra and its applications

Paclet Resource: PeterBurbery/DimensionalAnalysis

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

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

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: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: JaneShenGunther/TCGADataTool

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

Paclet Resource: FaizonZaman/LexicalCases

Extract lexical patterns from text

Paclet Resource: DanielS/Wireworld

Explore the Wireworld Turing-complete cellular automaton

Paclet Resource: ConnorGray/Organizer

Notebook interface application for organizing notes and to-dos

Paclet Resource: ChristopherWolfram/OpenAILink

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

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/TileStats

Tilling over 2D data and related statistics

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Paclet Resource: AntonAntonov/PaLMLink

PaLM API linking functions

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/MermaidJS

Graphics and images corresponding to mermaid-js specifications

Paclet Resource: AntonAntonov/FunctionalParsers

Functional parsers

Paclet Resource: AntonAntonov/DSLTranslation

Translation of natural language commands to code

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Paclet Resource: AntonAntonov/AssociationRuleLearning

Functions for association rule learning

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

Function Resource: TriangularSets

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

Function Resource: DobbleSets

Generate a set of integers that can create Dobble cards

Function Resource: FlatSpacetimeSprinkling

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

Function Resource: CurvedSpacetimeSprinkling

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

Function Resource: CurvedSpacetimeRegionSprinkling

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

Function Resource: SetTo

Use as an operator form of Set

Function Resource: CausalConnectionGraph

Generate a graph giving the relations between regions of causally equivalent events in a causal graph

Function Resource: TraceCausalGraph

Build a causal graph from an expression evaluation trace

Function Resource: CausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: EchoSet

Set a value to a symbol and print them

Function Resource: SetUnless

Initialize a value unless it already satisfies a given condition

Function Resource: TuringMachineCausalGraph

Generate a causal graph of the Turing machine evolution

Function Resource: SetPartitions

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

Function Resource: SetByRules

Use rules to make assignments

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: FocalSet

Compute the focal set of a surface

Function Resource: TotalCausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: SetAlarm

Set an alarm

Function Resource: SubstitutionSystemCausalEvolution

Generate a representation of causal structure in substitution system evolution

Function Resource: SubstitutionSystemCausalPlot

Generate a plot illustrating causal features of substitution system evolution

Function Resource: SubstitutionSystemCausalGraph

Generate a causal graph from a substitution system using standard updating order

Function Resource: SimpleCausalGraphCoordinates

Generate Cartesian-like coordinates for a simple two-dimensional causal graph

Function Resource: TableSet

Create a lightweight, named column store of tabular data that is compatible with Query, Select and other SQL-like functions

Function Resource: SetPartitionRefinement

Refine a partition of a set

Function Resource: MergeFindSet

Provide a merge-find set data structure with standard operations

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: KSetPartitions

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

Function Resource: MandelbrotSetRemap

Apply functions to remap the Mandelbrot set

Function Resource: SetQuestionPermissions

Set permissions for a deployed QuestionObject

Function Resource: DivisorHasseDiagram

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

Function Resource: SetSymbolsContext

Set the context for all symbols in an expression

Function Resource: SetContextStyle

Set the auto-style options for a given context

Function Resource: UpSetChart

Visualize the intersections and aggregates of intersections of tuples of intersecting sets

Function Resource: FoliationClass

Generate the foliation set from a causal graph

Function Resource: SetDisplayStyle

Change the output style for any kind of expression

Function Resource: SetFunctionEcho

See all evaluations of a given function

Function Resource: TableToTrainingSet

Prepare rectangular data for use in the machine learning functions Classify, Predict and NetTrain

Paclet Resource: KlausSutner/Automata

Automata theory package

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

Function Resource: SetDockedCells

Specify cells to be docked at the top of a notebook window

Function Resource: SetComplementMap

Apply a function to elements at certain positions and another function to the rest of the elements

Paclet Resource: LieART/LieART

Tools for Lie Algebras and Representation Theory

Neural Net Resource: Wolfram AudioIdentify V1 Trained on AudioSet Data

Identify sounds in an audio signal

Function Resource: SetLanguageCellSession

Set the default external session used by external language cells

Paclet Resource: GSberveglieri/Phi4tools

A collection of tools for Feynman diagrams in scalar field theories

Function Resource: Sumset

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

Paclet Resource: Taggar/MGroups

Mathematica package that implements some parts of finite group theory

Function Resource: SetIdleEventHandler

Create an event handler for a cell that evaluates whenever editing has stopped

Function Resource: SetDefaultPublisherID

Change your default publisher ID for Wolfram repositories

Function Resource: LinearCombination

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

Function Resource: SetNotebookAutoSaveTime

Set a notebook to auto-save periodically

Function Resource: SetOutputFormCellLabels

Set up custom cell labels for a formatting function

Function Resource: VertexStratify

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

Function Resource: Win32HotkeyHandlerSet

Set up system hotkey handlers

Paclet Resource: DRalgo/DRalgo

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

Paclet Resource: WallGo/WallGoMatrix

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

Function Resource: VennDiagram

Generate the Venn diagram associated to a logical expression or collection of sets

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

Example Resource: Discovering Prime Numbers

Function Resource: RandomComposite

Find a random composite number or set of random composite numbers

Function Resource: VennGraphPlot

Visualize the intersections of overlapping sets

Function Resource: OrderlessCombinations

Generate all possible orderless lists of a given length with a given set of elements

Function Resource: VerifyMTP

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

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Function Resource: UnsortedMultisetComplement

Perform the complement operation on multisets without sorting

Function Resource: DiscreteHausdorffDistance

Find the Hausdorff distance between two sets of elements

Function Resource: StringVenn

Return a Venn set for the letters in two strings

Function Resource: NthSubset

Get the subset of a list for a given index

Example Resource: Speed of Factoring

Function Resource: FubiniNumber

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

Example Resource: Identify and Label Parts of an Image

Use a pre-trained neural net to segment an image into semantic concepts

Function Resource: FlatSpacetimeTriangulation

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

Function Resource: SimultaneousRationalize

Approximately rationalize a set of numbers to give a common denominator

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: ExpressionBag

A data structure meant for accumulating items efficiently

Function Resource: PosetQ

Determine if a set of coordinates is partially ordered

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)

Function Resource: CombinatorEvolutionGraph

Visualize the state transformations and causal structure of a combinator evolution

Function Resource: PosetToTableau

Convert a partially ordered set of coordinates to a Young tableau

Function Resource: TableauToPoset

Convert a Young tableau to a partially ordered set of coordinates

Function Resource: SymmetricDifference

The complement of the union and intersection of lists, with duplicates deleted

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

Function Resource: ParityPairings

List all possible partitions of a list into disjoint pairs

Function Resource: CurvedSpacetimeTriangulation

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

Function Resource: AbstractFunctor

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

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: OptimalRotate

Rotate a 3D object to best display its shape and features

Function Resource: TimeSeriesToDataset

Convert a TimeSeries object to a Dataset

Function Resource: MultisetSymmetricDifference

Get the symmetric difference of the given lists

Function Resource: CombinatorEncode

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

Function Resource: SubgroupQ

Test if a group is a subgroup of another

Neural Net Resource: VGGish Feature Extractor Trained on YouTube Data

Represent sounds as a sequence of vectors

Function Resource: GroupToCombinator

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

Function Resource: MolienSeries

Compute the Molien series of a group

Function Resource: EnumerateHypergraphs

Enumerate possible ordered hypergraphs with a given signature

Paclet Resource: Obando/CAGenetics

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

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: CanonicalBranchPairs

Compute canonical branch pairs for a given multiway system

Function Resource: HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

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

Function Resource: AllComplements

Find elements of lists that are not in other lists

Function Resource: WolframModelLorentzFactor

Calculate the Lorentz factor of a Lorentz-transformed Wolfram Model causal graph

Function Resource: LorentzCoordinate2D

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

Paclet Resource: BradleyAshby/NotebookWorkspaces

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

Function Resource: AbstractStrictMonoidalCategory

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

Example Resource: Recognize Keywords in Speech

Compute the probabilities and locations of a set of words in a recording

Function Resource: Primorial

Evaluate the primorial

Function Resource: WordGraph

Create a word graph

Function Resource: IntegerSpectralDecomposition

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

Function Resource: ConditionedMultinormalDistribution

Calculate conditional and marginal distributions of the multivariate normal distribution

Function Resource: PolyhedralGraphFaces

Get the faces corresponding to a polyhedral graph

Function Resource: JordanTotient

Evaluate Jordan's totient function

Function Resource: ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

Function Resource: IntegerSpectralBasis

Obtain a spectral basis of a modular number system

Function Resource: GraphicsOptionQ

Test if an expression is a graphics option

Function Resource: IntervalComplement

Calculate the complement of intervals

Function Resource: HasseDiagram

Construct a Hasse diagram of a poset

Function Resource: DVectorField

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

Function Resource: ZXDiagramToQuantumDiscreteState

Convert a ZX-diagram into a pure quantum discrete state

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: QuantumDiscreteStateToZXDiagram

Convert a pure quantum discrete state into a ZX-diagram

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: PseudoQuotientRemainder

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

Prompt Resource: StandardizedTestVocabularyQuiz

Create a set of standardized test questions on vocabulary for a given test

Function Resource: TilingPatternPlot

Visualize a set of tiles

Function Resource: TimeSetter

A control to set a time

Function Resource: FractionMod

Get a congruent integer for a given fraction and modulus

Function Resource: FactorIntegerFermat

Factor an integer using Fermat's factorization algorithm

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: 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

Function Resource: RamanujanC

Evaluate Ramanujan's sum

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: GallaiEdmondsDecomposition

The Gallai–Edmonds decomposition of a graph

Example Resource: Face Analysis from Star Trek Video

Identify the faces of a set of of characters in a Star Trek promotional video

Function Resource: MakeZXDiagram

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

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)

Function Resource: KnuthBendixCompletion

Compute the Knuth-Bendix completion for a given multiway system

Function Resource: CanonicalKnuthBendixCompletion

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

Function Resource: GenerateSmoothNumbers

Generate smooth numbers up to some maximum

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Function Resource: DeficientNumber

Compute the nth deficient number

Function Resource: FermatPrime

Find the nth Fermat number that is also a prime number

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

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Function Resource: Totatives

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

Function Resource: SuperperfectNumberQ

Check whether a number is a superperfect number

Function Resource: AbundantNumber

Compute the nth abundant number

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: AdjacencyHypergraph

Compute the hypergraph with a specified adjacency tensor

Function Resource: AdjacencyTensor

Compute the adjacency tensor of an arbitrary hypergraph

Function Resource: UlamMatrix

Generate the Ulam matrix

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

Example Resource: Create a Maze from an Image

Create a maze image by computing a shortest tour through a set of image points

Function Resource: TrainTestSplit

Split data into training and testing sets

Function Resource: PowerTriangulation

Generate the power triangulation of a set of circles

Function Resource: PowerDiagram

Generate the power diagram of a set of circles

Function Resource: LexicographicSubsets

List the subsets of a set in lexicographic order

Function Resource: PopulationVariance

Compute the population variance for a set of data

Function Resource: GeometricProgression

Produce a set of values in geometric progression

Function Resource: TrendLine

Trend line of a given set of data

Function Resource: SchmidtArrangements

Generate Schmidt arrangements of circles

Function Resource: ResistanceMatrix

Get the resistance matrix of a graph

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: FibonacciQ

Check if a given number is a Fibonacci number

Function Resource: RationalUnivariateRepresentation

Get a rational univariate representation for a general polynomial system

Function Resource: LuckyNumbers

Get a list of lucky numbers

Function Resource: DeficientNumberQ

Check whether an input is a deficient number

Function Resource: AbundantNumberQ

Check whether an input is an abundant number

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

Function Resource: ChebyshevNodes

Produce Chebyshev nodes

Function Resource: DistinctCompactBinaryHuffmanCode

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

Example Resource: Conformations of Cyclohexane

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

Function Resource: CoplanarQ

Determine whether a set of points lies in a plane

Function Resource: PlaneOfBestFit

Get the hyperplane that best fits a set of points

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: PrimitiveRootOfUnityList

Get the set of primitive nth roots of unity

Function Resource: CurveFitReport

Display information related to fitting of a set of data

Function Resource: CollinearQ

Determine whether a set of points lie on a line

Function Resource: PolynomialHomogenize

Homogenize a polynomial with respect to a given set of variables

Function Resource: LinearlyIndependent

Determine whether a set of vectors is linearly independent

Function Resource: PopulationStandardDeviation

Compute the population standard deviation for a set of data

Function Resource: ElevateGeoPosition

Set the elevation of one or multiple geodetic positions

Function Resource: GenerateQuestionsFromSentence

Generate a set of questions from the given sentence

Function Resource: NoiseSphere

Visualize the noise sphere of a set of random numbers

Function Resource: BlockSubmatrices

Decompose a matrix into a comprehensive set of smaller matrices

Function Resource: SphereFit

Find the best-fit sphere for a set of points

Function Resource: SentenceComplexityMeasures

Obtain a set of complexity measures for an English sentence

Function Resource: StringsToVectors

Convert a set of text strings to numeric vectors

Function Resource: FindFiniteModels

Find finite models consistent with the set of relations

Function Resource: DihedralCanonicalization

Return a canonical rotation/reflection for a point set

Function Resource: ComputationalSystemRules

Find explicit sets of rules for computational systems

Function Resource: CircleFit

Find the best-fit circle for a set of points

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: Track the Altitude of a Drone

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

Function Resource: HurwitzMatrix

Generate the Hurwitz matrix of a univariate polynomial

Function Resource: SchurMatrix

Generate the Schur matrix of a univariate polynomial

Function Resource: XuIndex

Compute the Xu index of an undirected graph or a molecule

Function Resource: HarshadNumberQ

Test if a number is a harshad number

Function Resource: ButcherTreeData

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

Function Resource: PandasObject

Use the Python package pandas for data science in Wolfram Language

Function Resource: RandomFractalArt

Make a random fractal image based on the Mandelbrot set

Function Resource: PerfectGraphQ

Test whether a graph is perfect

Function Resource: MixedEulerianGraphQ

Test if a strongly connected mixed graph is Eulerian or unicursal

Function Resource: SchultzMTI

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

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Function Resource: EulerizeGraph

Add edges to a graph to make it Eulerian

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer

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: NewtonCompanionMatrix

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

Function Resource: BalabanJ

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

Function Resource: DixonResultant

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

Function Resource: GrayCodeSubsets

Get subsets of a given set in minimum change order

Function Resource: NextSubset

Get the next subset of a given set in canonical order

Function Resource: SphericalVoronoiDiagram

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

Function Resource: MinimumVolumeEllipsoid

Find the minimum-volume enclosing ellipsoid of a set of points

Function Resource: CellEvaluationButton

Make a button that evaluates a set of cells when clicked

Function Resource: FormatDataset

Format a dataset using a given set of option values

Function Resource: CurveFitOverview

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

Function Resource: GenerateWangTiling

Generate a tiling pattern from a set of Wang tiles

Function Resource: ParetoListMinima

Find the Pareto-minimal points in a set of numeric vectors

Function Resource: BitTest

Determine whether a given bit in an integer is set to one

Function Resource: FindMinimalTilings

Find minimal sets of templates for constructing tiling patterns

Function Resource: ConvexLayers2D

Calculate the convex layers of a set of 2D points

Function Resource: NextLexicographicSubset

Get the next subset of a given set in lexicographic order

Function Resource: JacobiShufflePermutations

Generate a set of permutations for Jacobi identities of arbitrary order

Function Resource: ThroughOperator

An operator that applies multiple functions to one set of arguments

Function Resource: WorldTravellerSignpostSolve

Find the location of a signpost with given distances to a set of cities

Function Resource: EvaluateBenchmark

Measure the evaluation timings of a function on a given set of inputs

Function Resource: InequalityPlot

Plot a set of inequalities distinguishing between different regions

Function Resource: FindEquationalCounterexample

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

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

Detect molecular point groups describing the symmetry of a molecule

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: MandelbrotMatrix

Construct a matrix whose eigenvalues lie on the Mandelbrot set boundary

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

Function Resource: IntegerRadical

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

Function Resource: RadialDistributionFunction

Compute the radial distribution function of a set of n-dimensional points

Function Resource: LongestCommonPrefix

Find the longest common contiguous prefix of a set of strings or lists

Function Resource: GraphMerge

Merge two graphs, linking them at a desired set of vertices

Function Resource: BinaryCompositions

List all possible binary compositions for a set of chosen symbols

Function Resource: ChessVoxels

Graphics3D primitives for a set of voxelated chess pieces

Function Resource: MatrixPencilSolve

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

Function Resource: GrayCodeKSubsets

Get k-subsets of a given set in minimum change order

Function Resource: GenerateTiling

Generate a tiling pattern from a set of local template constraints

Function Resource: KeySortLike

Sort keys of an Association in the same order as another set of keys

Function Resource: DotPlot

Create a dot plot for a set of real-valued univariate data

Function Resource: PolynomialFitCurve

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

Function Resource: FindBooleanAlternative

Find alternative Boolean expressions using a given set of operators

Function Resource: EquivalenceClasses

Compute the equivalence classes associated with a given set of elementwise identifications

Function Resource: FiniteDifferenceStencil

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

Function Resource: LassoPoints

Create Graphics primitives of a closed curve that encloses a set of points

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

Function Resource: HardSphereSimulation

Simulate hard spheres moving in an n-dimensional box

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

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: Fibbinary

Get the fibbinary sequence

Function Resource: QuadraticFunctionQ

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

Function Resource: RationalFunctionQ

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

Function Resource: ReflectPoints

Reflect a set of points over a line, plane or hyperplane defined by points

Function Resource: LinearFunctionQ

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

Function Resource: NearestNeighborGraphEntropy

Compute the Shannon entropy of a set of points connected by a nearest neighbor graph

Function Resource: KruskalAlgorithm

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

Function Resource: ContextModule

Temporarily set $Context and $ContextPath to a unique empty context for an evaluation

Function Resource: LookupKeys

Look up a set of keys applying a function when a key is missing

Function Resource: RunOnQuit

Set an evaluation to run when the Wolfram Language kernel session is terminated

Function Resource: BezierInterpolatingControlPoints

Compute the control points of a Bézier curve that interpolates a given set of points

Function Resource: GenerateHexagonalWangTiling

Generate a hexagonal tiling pattern from a set of hexagonal Wang tiles

Function Resource: TheilSenLine

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

Function Resource: SupportSizeEstimate

Estimate the full size of a set given the number of distinct results in a sample

Function Resource: PointsetDerivativeRoots

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

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

Function Resource: MultiwayTuringMachine

Simulate a nondeterministic Turing machine evolution as a multiway system

Function Resource: QuantumToMultiwaySystem

Simulate a quantum evolution as a multiway system

Function Resource: MultiwayFunctionSystem

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

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Paclet Resource: WolframInstitute/PiMachine

Universal Reversible Machine

Function Resource: MessageReplace

Modify any messages generated during an evaluation using a set of replacement rules

Function Resource: UpToBinaryCompositions

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

Function Resource: ImportMTL

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

Function Resource: FindExtraordinaryLines

Return the lines passing through three or more points, given a set of points

Function Resource: GaussianIntegerQ

Determine if a number is a Gaussian integer

Function Resource: DyckWords

Give all possible ways to form proper brackets

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: PartitionRank

The largest part minus the number of parts of a partition

Function Resource: SmallestPartsFunction

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

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: ToNegabinary

Get the negabinary representation of an integer

Function Resource: UlamSequence

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

Function Resource: FindStableMatching

Find a stable matching between two sets of elements with expressed preferences for each other

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: Cyclide

Compute expressions for Dupin cyclide surfaces

Function Resource: NestedLookup

Look up a set of keys in order to get deeper parts of an association or list of rules

Function Resource: CombinePlots

Combine plots, enabling the creation of plots with two sets of axes and the merging of prologs and epilogs

Function Resource: IrreducibleBinaryCompositions

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

Function Resource: DeclareArgumentCount

Set up a symbol to give an error message when called with an unexpected number of arguments

Function Resource: RibbonPolyhedron

Display the set of polygons obtained by extending polyhedron edges perpendicularly inward by a given distance

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: IntegerPartitionQ

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

Function Resource: BinomialMod

Efficient computation of a binomial coefficient modulo a given number

Function Resource: ProvablePrimeQ

Certify a number as provably prime

Function Resource: FactorialMod

Fast factorial modulo a given number

Function Resource: FareyRange

Generate a list of fractions with a bounded denominator

Function Resource: CrossValidateModel

Check the quality of a data fitting model by splitting the data into test and validation sets multiple times

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

Function Resource: ValueMapIndexed

Create an association from a set of values, using a map-indexed function on those values to form the keys

Function Resource: FromNumberExpansion

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

Function Resource: IntegerCompositions

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

Function Resource: Mediant

Compute the mediant of a list of non-negative rationals

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: NextIntegerComposition

Get the next composition of an integer in canonical order

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: GenerateOrderingConditions

Generate the conditions under which a list of symbolic expressions has a particular ordering or set of orderings with respect to an operation

Function Resource: ValueMap

Similar to AssociationMap but maps over a given set of values to obtain keys rather than vice versa

Function Resource: ChiSquareRandomnessTest

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

Function Resource: Excess01Ruler

Find a near-minimal set of integer marks so that all integers up to a given length are represented as differences

Function Resource: WinLossChart

Create a simple bar chart that shows the number of items in a list that fit set criteria compared to those that do not

Neural Net Resource: GPT Transformer Trained on BookCorpus Data

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

Function Resource: FaurePoint

Get a point belonging to the Faure sequence

Function Resource: PolygonalDiagram

Show an array of polygonal numbers

Function Resource: EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource: Tetration

Compute the order-k tetration of a number

Function Resource: QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

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: SmallIntegerLinearSolve

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

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: Collatz

Get the Collatz sequence starting with a given value

Function Resource: ItemCounts

A two-argument form of Counts that gives an association between a set of provided keys and the number of times those keys appear in a list

Function Resource: EisensteinE

Evaluate the Eisenstein series

Function Resource: RandomSafePrime

Compute one or more safe primes in a requested range

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

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

Neural Net Resource: Pose-Aware Face Recognition in the Wild Nets Trained on CASIA WebFace Data

Represent a facial image as a vector

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

Paclet Resource: DanieleGregori/ArXivExplore

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

Function Resource: OEISSequence

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

Neural Net Resource: DBNet Text Detector Trained on ICDAR-2015 and Total-Text Data

Detect and localize text in an image

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

Generate a textual description of an image

Function Resource: MultiwayOperatorSystem

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

Function Resource: FindEquationalPath

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

Function Resource: CompoundScope

Scope with compounding expressions

Function Resource: BitFlip

Flip an individual bit in an integer (0 to 1 and 1 to 0)

Function Resource: PaduaInterpolation

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

Function Resource: PaduaPoints

Generate Padua points for bivariate interpolation and cubature

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Function Resource: 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

Function Resource: DecimalRound

Round a machine number to a prescribed number of significant digits using conventional rounding rules

Function Resource: DistributeResourceFunctions

Distribute resource function definitions to parallel kernels

Function Resource: DedicatedPermissionsKey

Add user-specific permissions keys to a cloud object

Function Resource: LInfinitySolve

Solve the linear minimax problem

Function Resource: GetUnboundSymbols

Get all the non-local symbols that appear in an expression

Function Resource: DirectoryBlock

Temporarily change the current directory for an evaluation and ensure that it is restored when evaluation is completed

Function Resource: FindCombinatorProof

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

Function Resource: ShowGitStatus

Display the status of a git repository

Function Resource: AlphaChannelSetter

Interactively add alpha transparency to an image

Function Resource: Spotlight

Access the Spotlight feature in macOS from within the Wolfram Language

Function Resource: ResetDirectoryStack

Reset the value of Directory[] and DirectoryStack[]

Function Resource: ColorGraphEdges

Color the edges of a graph so no edges incident to each other have the same color

Function Resource: DensityMatrixToStateMultipole

Represent matrix elements via density state multipoles (statistical tensors)

Function Resource: StateMultipoleToDensityMatrix

Represent state multipoles (statistical tensors) via density matrix elements

Data Resource: Steiner Triple System A45 Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: L1Solve

Solve the linear least absolute value problem

Function Resource: ApproximateVertexCover

Find a vertex cover not much larger than the minimal cover

Function Resource: IvyTheme

Restyle a notebook to use an Ivy theme

Function Resource: BlockProtected

Modify definitions of protected symbols and ensure that their attributes are restored

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: PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

Function Resource: DraculaTheme

Restyle notebooks to use the Dracula theme

Function Resource: ColorGraphVertices

Color the vertices in a graph with no adjacent vertices sharing a color

Example Resource: Replace a Daytime Background with a Nighttime Image

Use color-based segmentation to find a uniform color background

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: FindInOpenNotebooks

Search for words in all open notebooks

Function Resource: MotzkinM

Evaluate the Motzkin number

Function Resource: ScorerGiZero

Find zeros of the ScorerGi function

Function Resource: Exspheres

Find the exspheres of a triangle or tetrahedron

Example Resource: Multiscale Feature Detection

Apply gradient filtering or saliency filtering to images

Function Resource: MoveMouse

Move the mouse cursor to a specified location

Function Resource: DihedralODE

Find the ordinary differential equation constraining periods of certain symmetrical curves

Example Resource: 3D Facial Reconstruction from 2D Images

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

Example Resource: Colorize Electron Microscopy Images

Train a neural network to automatically colorize monochrome electron microscopy images

Function Resource: ImportVCF

Import files in the VCF format, a bioinformatics standard for storing gene sequence variations

Function Resource: WignerMatrix

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

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

Example Resource: Stitching of Microscope Images

Obtain the entire image of a larger specimen by stitching images together

Function Resource: LogarithmicNorm

Evaluate the logarithmic norm of a square matrix

Function Resource: NeumannO

Evaluate the Neumann polynomial

Function Resource: HolderDoubleSine

Calculate the numerical value of the Hölder double sine function

Example Resource: Measure the Performance of a Predictor

Train a predictor that predicts the median value of properties in a neighborhood of Boston

Example Resource: Find Which Author Wrote a Text

Train a classifier on the writings of Shakespeare, Oscar Wilde and Victor Hugo

Example Resource: Determine if a Text Is Prose or Poetry

Gather examples of Shakespearean poetry and prose to train a classifier

Function Resource: TripleGamma

Evaluate the triple gamma function

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

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

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Function Resource: MultiplicativePersistence

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

Function Resource: RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

Function Resource: AxisAngle

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

Function Resource: RuledSurfacePlot

Plot a ruled surface

Function Resource: TakagiT

Evaluate the Takagi function

Function Resource: KrawtchoukMatrix

Generate a Krawtchouk matrix

Function Resource: NSolveByMonodromy

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

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: IteratedMap2D

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