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/SamplePaclet

A sample paclet used to demonstrate basic CI/CD workflows at the 2022 Wolfram Technology Conference

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/Lazy

Lazy computation

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: Wolfram/CodeEquivalenceUtilities

Utilities for testing code equivalence

Paclet Resource: WolframChemistry/Selfies

SELF-referencIng Embedded Strings

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

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: Wolfram/AdvancedSamplePaclet

A sample paclet used to demonstrate more complex CI/CD workflows at the 2022 Wolfram Technology Conference

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: SamplePublisher/SamplePaclet

A complete sample Paclet

Paclet Resource: RohanMehta/OpenChemicalSystems

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Paclet Resource: PeterBurbery/LinearAlgebraPaclet

A paclet for linear algebra and its applications

Paclet Resource: PeterBurbery/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: KlausSutner/Automata

Automata theory package

Paclet Resource: KirillBelov/TelegramBot

Telegram Bot API client for the Wolfram Language

Paclet Resource: KirillBelov/Objects

Simple objects implementation

Paclet Resource: KirillBelov/ExchangeLink

Rest API and WebSocket clients for different crypto currency exchanges

Paclet Resource: 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: ChristopherWolfram/OpenAILink

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

Paclet Resource: ChristopherWolfram/CuneiformTools

[EXPERIMENTAL] Tools for cuneiform data retrieval

Paclet Resource: BradleyAshby/NotebookWorkspaces

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

Paclet Resource: Bob/BaseballReferenceData

Import data from baseball-reference.com

Paclet Resource: ArmandoCruz/ZeroKnowledgeProofs

Implementation of Zero Knowledge proof interactive and non-interactive protocols

Paclet Resource: AntonAntonov/VariableImportanceByClassifiers

Variables importance determination using classifiers

Paclet Resource: AntonAntonov/TileStats

Tilling over 2D data and related statistics

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Paclet Resource: AntonAntonov/PaLMMode

Notebook style with cells for execution of PaLM commands

Paclet Resource: AntonAntonov/OpenAIMode

Notebook style with cells for execution of OpenAI commands

Paclet Resource: AntonAntonov/NLPTemplateEngine

Code generation by filling in templates using NLP techniques

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/MermaidJS

Graphics and images corresponding to mermaid-js specifications

Paclet Resource: AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Paclet Resource: AntonAntonov/FunctionalParsers

Functional parsers

Paclet Resource: AntonAntonov/DSLTranslation

Translation of natural language commands to code

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Function Resource: MultiFactorial

Evaluate the multifactorial function

Function Resource: CIEColorMatchingFunctionValues

Evaluate the CIE color matching functions for a given wavelength

Function Resource: MultiReplace

Perform replacements and give the positions at which they occur

Function Resource: SplitVectorValuedPiecewise

Split a vector-valued piecewise function into a list of piecewise functions

Function Resource: RecursiveFunction

Obtain function values for an arbitrary recursive function

Data Resource: VertexShapeFunction

The collection of named vertex shape functions in the Wolfram Language

Data Resource: EdgeShapeFunction

The collection of named edge shape functions in the Wolfram Language

Function Resource: WithCachedValues

Evaluate an expression while temporarily caching results from specified functions

Data Resource: Mock Theta Functions

Definitions of the mock theta functions

Function Resource: FunctionOverview

Get information about a real-valued univariate function

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: MultiColumnSort

Sort by multiple columns at the same time

Function Resource: MultiPerspectiveEmbedding

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

Function Resource: MultiPerspectiveEmbeddingViewer

Visualize a MultiPerspectiveEmbedding

Function Resource: FunctionAudiolize

Illustrate the behavior of a real-valued function in the form of sound

Function Resource: ValueMap

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

Function Resource: FunctionDifferentiability

Find the conditions for which a single-variable, real-valued function is differentiable

Function Resource: GraphFunctionPlot

Plot the values of a function at the vertices of a graph

Function Resource: SwapSymbolValues

Swap values of symbols using a temporary variable

Function Resource: RiemannSurfacePlot3D

Plot Riemann surfaces of compositions of elementary functions

Function Resource: MatrixFieldOfValues

Evaluate the boundary curve of the field of values of a matrix

Function Resource: NFunction

Allow a function to perform pure numeric computation by silently ignoring non-numeric values

Function Resource: SelectByCurrentValue

Efficiently select from a list of front end objects

Function Resource: MultiNonlinearModelFit

Fit multiple datasets with multiple expressions that share parameters

Paclet Resource: Wolfram/Multicomputation

Various functions for multicomputation

Example Resource: Compute the Expectation Value of a Quantum Operator

Function Resource: ExtractDownValues

Extract all DownValues that match the input

Function Resource: ValuesReduceOperator

Group data according to the positionally corresponding values of other data

Function Resource: MoleculeValuePlot

Get a molecule plot with atoms or bonds colored according to property values

Function Resource: GetKeyValuePattern

Create a suitable KeyValuePattern from an example association

Function Resource: FirstMatchingValue

Evaluate expressions in turn until a given form is returned

Function Resource: NameValuePattern

Define a pattern expression for matching optional arguments with defaults

Prompt Resource: FunctionNameSuggest

Suggest an alternative name for a given function

Function Resource: TwoSidedPValue

Find the probability of the absolute value of the test statistic being at least as extreme as the given value

Function Resource: HasDefinitionsQ

Check if a symbol has definitions associated with it

Example Resource: Estimating Liver Function

A model-based approach to contrast agent transport

Function Resource: MeanValueTheoremQuiz

Generate a quiz to assess understanding of the mean value theorem for derivatives

Function Resource: StudentTValue

Calculate the Student's t-value that corrects for the bias of the unknown standard deviation in the statistical uncertainty of a measurement

Function Resource: ConfusionMatrixTrajectoryFunction

Construct a function that, when given a threshold probability value, produces a confusion matrix

Function Resource: LinguaStopwords

Stopwords for multiple languages

Function Resource: FunctionParity

Determine the parity of a function, even or odd, with respect to one or more variables

Function Resource: SymbolCases

Find symbols whose definition contains specified pattern

Function Resource: NVariationalBound

Search numerically for the values of parameters of a trial function that extremize a functional

Function Resource: EasingFunction

Get a named easing function, representing rate of change of a parameter over time

Data Resource: Semantic Index of Wolfram Function Repository Documentation

SemanticSearchIndex of the documentation for Wolfram Function Repository submissions

Function Resource: ExpressionToFunction

Convert an expression to a pure function by specifying which symbols should be used as input arguments

Function Resource: FunctionSigns

Determine the intervals on which a function is positive, negative or zero

Function Resource: FunctionJectivity

Determine the injectivity and surjectivity of a function

Function Resource: FlipFunction

Reverse the order of two arguments of a function

Function Resource: ResourceFunctionPattern

Generate a pattern that matches a resource function

Function Resource: PersistResourceFunction

Install a resource function persistently so that it can be used like a built-in function

Function Resource: StringFunction

Use functions meant for lists on strings

Function Resource: AttentionBlock

Build a multi-head attention net

Function Resource: RosenbrockFunction

A non-convex mathematical function that is commonly used as a benchmark problem in optimization

Function Resource: ChirpFunction

Generate a swept-frequency sinusoidal function

Function Resource: FunctionDiscontinuities

Compute the discontinuities of a function of a single variable

Function Resource: MoleculeValuePlot3D

Get a 3D molecule plot with atoms or bonds colored according to property values

Example Resource: Extrema Values of the Earth's Magnetic Field in a Region

Function Resource: MakeEllipticFunction

Build an elliptic function with given periods, zeros and poles

Function Resource: ToPythonFunction

Convert a Wolfram Language function to a Python function

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: CloudResourceFunction

Access functions deployed to your own or another user’s Wolfram Cloud account that are not in the official Function Repository

Function Resource: EvenFunctionQ

Determine whether an expression is an even function of the given variable or variables

Function Resource: FunctionCusps

Find the cusps of a curve

Function Resource: FunctionCorners

Find the corners of a curve

Function Resource: OddFunctionQ

Determine whether an expression is an odd function of the given variable or variables

Function Resource: FunctionConcavity

Compute the regions on which an expression is concave up or down

Function Resource: ScalarPureFunction

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

Function Resource: InterpolatingFunctionData

Extract data from an InterpolatingFunction object

Function Resource: InterpolatingFunctionDomain

Obtain the domain of an InterpolatingFunction object

Function Resource: ResourceFunctionSearch

Search the Wolfram Resource System for specified resource functions

Function Resource: FunctionMonotonicity

Compute the regions on which an expression is monotonic

Function Resource: IsContinuousFunction

Determine whether a function is continuous

Function Resource: CategoryResourceFunctions

List all of the Wolfram Function Repository resources in a category

Function Resource: RecentResourceFunctions

Get information about the most recently-released resource functions

Function Resource: RationalFunctionQ

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

Function Resource: LinearFunctionQuiz

Generate a quiz to assess understanding of linear functions

Function Resource: FullSimplifyFunction

Convert a pure function into a simpler form

Function Resource: QuadraticFunctionQ

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

Function Resource: InterpolatingFunctionToPiecewise

Convert an InterpolatingFunction to a Piecewise representation

Function Resource: TensorPureFunction

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

Function Resource: BitBooleanFunction

Apply a Boolean function to corresponding bits in integers

Function Resource: TopolyFunction

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

Function Resource: NLimit

Find the limiting value of an expression numerically

Function Resource: ExpressionToFunctionOperator

An operator form of ExpressionToFunction that can be applied to expressions

Function Resource: SampleUnivariateFunctions

Get one or more functions of a single complex variable

Function Resource: DistributeResourceFunctions

Distribute resource function definitions to parallel kernels

Function Resource: CosColorFunction

Define color functions based on the cosine function

Function Resource: LinearFunctionQ

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

Function Resource: PacletizeResourceFunction

Convert a resource function into a paclet with local documentation

Function Resource: PersistentCloudForm

Create forms with persistent values for cloud deployment

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Function Resource: SolutionRulesToFunctions

Convert a rule between expressions that depend on one or more variables to a pure function rule

Function Resource: ComputeMatrixFunction

Compute a function of a square matrix

Function Resource: FormatAsResourceFunction

Format a symbol as a ResourceFunction in outputs

Function Resource: ResourceFunctionInput

Add a way to interactively input ResourceFunction symbols inline

Function Resource: BlockProtected

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

Function Resource: VariationalBound

Find the values of parameters of a trial function that extremize a functional

Function Resource: ResourceFunctionSymbols

Get a list of the symbols used in the definition of a resource function

Function Resource: CreateResourceFunctionSymbols

Create a symbol for each named resource function

Function Resource: IfSatisfies

Pass a value to a function if the value satisfies a condition

Function Resource: DivergentColorFunction

Create a diverging color map with a neutral central color

Function Resource: CompileColorFunction

Compile a color function for improved performance in colorizing images

Data Resource: Sample Data: Boston Homes

Housing values in suburbs of Boston

Function Resource: MultiwayFunctionSystem

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

Function Resource: AssociationPermutations

Get permutations of the key-value pairs in an Association

Function Resource: SetFunctionEcho

See all evaluations of a given function

Function Resource: CubehelixColorFunction

Generate color functions using the "cubehelix" method

Function Resource: ChernoffFace

Make Chernoff face diagrams

Function Resource: FunctionPeriodPlot

Plot a given number of periods of a periodic function

Function Resource: ColorFunctionRipple

Give a color function a periodic perturbation

Function Resource: MonotonicFunctionQ

Check if a function is monotonic

Function Resource: ImageColorFunction

Create a color function from colors in an image

Function Resource: EvolutionViewFunction

Generate a function that displays graphical objects at successive times

Function Resource: RadialDistributionFunction

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

Function Resource: FunctionHyperlinkPalette

Open a palette for quickly creating hyperlinks for built-in or repository functions

Function Resource: TakeLarger

Take values larger than a threshold in a list or association

Function Resource: TakeSmaller

Take values smaller than a threshold in a list or association

Function Resource: ResourceFunctionMessage

Print a labeled message from ResourceFunction with contexts hidden

Function Resource: HolderDoubleSine

Calculate the numerical value of the Hölder double sine function

Function Resource: InverseFactorial

Compute the inverse factorial of a strictly positive integer by solving the gamma function for a specific value

Neural Net Resource: CLIP Multi-domain Feature Extractor

Represent words and images as vectors

Function Resource: WithDatedResourceFunctions

ResourceFunction time machine

Function Resource: RecursiveFunctionCallGraph

Obtain a graph whose vertices and edges trace the evaluation of a recursive function

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Function Resource: ParallelCoordinatesPlot

Plots high-dimensional datasets across parallel axes

Function Resource: SmallestPartsFunction

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

Example Resource: Create a Neural Network Layer from Commonly Used Distance Functions

Function Resource: TemplateDefaults

Retrieve the default values from a template

Function Resource: ConstantAssociation

Create an association whose values are all a constant

Function Resource: RadialDistributionFunctionList

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

Function Resource: FunctionRootMeanSquare

Compute the root mean square of a function

Function Resource: StrictlyMonotonicFunctionQ

Check if a function is strictly monotonic

Function Resource: CurveToBSplineFunction

Create a smooth parametrized function from a list of points with flexible control over smoothing

Function Resource: ResourceFunctionDefinitionViewer

View the definitions of a resource function along with its dependencies

Data Resource: Combinator Birds

Information about 50 combinator functions

Function Resource: PlayTouchTone

Generate a sound representing the dialing of a touch-tone phone

Function Resource: ContainsMissing

Test if an expression contains a Missing value

Data Resource: UI Color Gradients

Community contributed collection of beautiful multi-color gradients from uiGradients

Neural Net Resource: Multi-scale Context Aggregation Net Trained on Cityscapes Data

Segment an image of a driving scenario into semantic component classes

Function Resource: SetTo

Use as an operator form of Set

Function Resource: Interleave

Combine multiple lists into a single list by interleaving their elements in sequence

Function Resource: DeBruijnNewmanH

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

Paclet Resource: Wolfram/LLMFunctions

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

Data Resource: Repetition Periods for Elementary Cellular Automata

A collection of rules and their repetition periods as a function of size

Neural Net Resource: Multi-scale Context Aggregation Net Trained on CamVid Data

Segment an image of a driving scenario into semantic component classes

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: AssociationEditor

Create an interface for editing an Association

Function Resource: AssociationReference

Create an association with self references

Paclet Resource: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Example Resource: Workings of the Deutsch-Jozsa Algorithm

Paclet Resource: ArnoudBuzing/ExternalFunctions

Encapsulated External Functions

Function Resource: SignChart

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

Function Resource: UnevaluatedAssociation

Construct an association without evaluating any of the keys or values

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: SelectPositions

A function like Select that returns positions instead of values

Function Resource: DropLargestBy

Drop the largest values from a list based on a function

Function Resource: DropSmallestBy

Drop the smallest values from a list based on a function

Paclet Resource: PeterBurbery/AssociationFunctions

Functions for modifying associations

Function Resource: LommelS

Evaluate the Lommel function

Neural Net Resource: Multi-scale Context Aggregation Net Trained on PASCAL VOC2012 Data

Segment an image into various semantic component classes

Function Resource: GraphWeights

Return the weights of a graph

Function Resource: InheritedBlock

Similar to Block, except values of local symbols are not cleared when entering the block

Function Resource: BickleyKi

Evaluate the Bickley function

Function Resource: JacobiEpsilon

Evaluate the Jacobi epsilon function

Function Resource: EchoSet

Set a value to a symbol and print them

Function Resource: AngerWeberA

Evaluate the associated Anger–Weber function

Function Resource: PossiblyDifferentiableQ

Determine whether a single-variable, real-valued function is differentiable

Paclet Resource: WolframExternalFunctions/YAML

A package for reading and writing YAML files

Function Resource: FaddeevaW

Evaluate the Faddeeva function

Function Resource: ParetoListMinima

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

Function Resource: ImportCSVToDataset

Import CSV and TSV files to datasets

Function Resource: TallyBy

Tally items that give the same value when a function is applied

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Paclet Resource: WolframExternalFunctions/NetworkCollection

Collection of network related functions for the Wolfram Language

Example Resource: Model an Aircraft's Longitudinal Dynamics

Use a transfer-function model of an aircraft's longitudinal dynamics to assess its frequency response to an elevator deflection

Paclet Resource: LambdaFeedback/EvaluationFunctionToolkit

A collection of utilities for creating Lambda Feedback evaluation functions for the Wolfram Language

Paclet Resource: AndreasPfurtscheller/EvaluationFunctionToolkit

A collection of utilities for creating Lambda Feedback evaluation functions for the Wolfram Language

Function Resource: TrigDataset

Get trigonometric datasets including closed-form values

Function Resource: TakagiT

Evaluate the Takagi function

Paclet Resource: ZigangPan/SmoothTransitionFunctions

Smooth transition functions for control design

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

Represent words and images as vectors

Function Resource: StruveKelvinStei

Evaluate the Struve–Kelvin stei function

Function Resource: TripleGamma

Evaluate the triple gamma function

Function Resource: ClausenCl

Evaluate the Clausen function

Function Resource: EchoGroup

Echo a label and make any echoes that occur within a body indented

Function Resource: KeyIndex

Create an association indexed by a given key from a list of associations

Function Resource: L1Solve

Solve the linear least absolute value problem

Example Resource: Structural Complexity of Proteins

Find proteins by median feature count for various molecular functions

Data Resource: Sample Tabular Data: Los Angeles Ozone

Monthly averages of hourly readings of ozone in downtown Los Angeles with values in pphm

Function Resource: ShowDefinitions

Get a browsable, hyperlinked definition of a symbol

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

Represent words and images as vectors

Function Resource: ActuarialCommutation

Creates an Association containing values for the six standard commutation functions used in actuarial mathematics

Function Resource: ScorerGiZero

Find zeros of the ScorerGi function

Function Resource: ParabolicCylinderU

Evaluate the Weber parabolic cylinder function U

Paclet Resource: WolframExternalFunctions/GSLLink

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

Function Resource: GammaSimplify

Simplify gamma functions in expression

Function Resource: BesselSimplify

Simplify Bessel functions in expression

Function Resource: StruveKelvinSter

Evaluate the Struve–Kelvin ster function

Function Resource: PolyGammaSimplify

Simplify polygamma functions in an expression

Function Resource: HadamardGamma

Evaluate the Hadamard gamma function

Function Resource: ZetaSimplify

Simplify zeta functions in expressions

Function Resource: DefinedSymbols

Return a list of strings for all symbols in the given context that have values associated with them

Paclet Resource: WolframAlphaMath/SpecialFunctionsAndCalculus

Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more

Function Resource: NutritionLabelData

Retrieve the nutrient content and daily value percentages of foods

Function Resource: Mediant

Compute the mediant of a list of non-negative rationals

Function Resource: EllipticExpand

Expand elliptic functions in an expression

Paclet Resource: WolframExternalFunctions/GeoHashLink

Provides geo-hashing functions, enabling the encoding and decoding of coordinates into hierarchical strings.

Function Resource: UnionTo

Equivalent to Union but redefines the first argument to the result

Function Resource: RealEuclideanDistance

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

Function Resource: Erfci

Evaluate the integral of the complementary error function

Function Resource: KeySortLike

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

Function Resource: HeumanLambda

Evaluate the Heuman lambda function

Data Resource: The 192 Solutions of the Heun Equation

A compilation of the 192 solutions to the Heun differential equation

Function Resource: BinarySearchBy

Find the position of a target value within an array sorted after applying a function

Function Resource: AllSameBy

Check if all the elements of a list give the same value after applying a function

Function Resource: ParabolicCylinderV

Evaluate the Weber parabolic cylinder function V

Function Resource: NeumannO

Evaluate the Neumann polynomial

Function Resource: SetComplementMap

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

Example Resource: Temperature Variability at a Given Location

Explore a time series of quantity-valued data

Function Resource: MeijerGToHypergeometricPFQ

Express MeijerG expressions in terms of HypergeometricPFQ

Function Resource: EisensteinE

Evaluate the Eisenstein series

Prompt Resource: CSV

Convert text to a comma-separated-value formatted table

Prompt Resource: TSV

Convert text to a tab-separated-value formatted table

Paclet Resource: WolframExternalFunctions/NetworkXLink

Use the functionality of the Python package NetworkX,without any knowledge of Python

Prompt Resource: Fictionalize

Replace personally identifiable information in text with fictionalized versions

Prompt Resource: Modernize

Rephrase text to modernize it

Function Resource: PrintDefinitionCases

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

Function Resource: FoxHToMeijerG

Express FoxH in terms of MeijerG whenever applicable

Function Resource: AssociatePairs

Convert a list of pairs into an association

Function Resource: PolygonInterpolation

Interpolate over values given at the vertices of a polygon

Example Resource: Smooth Image Assembly using Multiscale Blending

Split and merge two images at different scales using image pyramids

Function Resource: SubspaceAngle

Compute the angle between two subspaces

Function Resource: KeyCombine

Map a function over the keys of an association, and collect or combine values in the event of key collisions

Function Resource: LommelR

Evaluate the Lommel polynomial

Function Resource: InverseEllipticE

Evaluate the inverse function of EllipticE

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: ListD

Find the numerical derivative of a list of values or pairs of values

Function Resource: CoulombF

Evaluate the regular Coulomb wavefunction

Function Resource: ArgumentCount

Count the number of arguments a pure function or compiled function takes

Function Resource: SchlaefliS

Evaluate the Schläfli polynomial

Function Resource: KurepaK

Evaluate the Kurepa function

Function Resource: PolarDecomposition

Compute the polar decomposition of a matrix

Function Resource: GraphElementData

Get information about named functions used in VertexShapeFunction and EdgeShapeFunction

Function Resource: InheritOptions

Pass options down from one function into the next when the default option values are different

Function Resource: Kurvendiskussion

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

Function Resource: EchoTiming

Print the timing for an evaluation and return the result

Function Resource: KeplerE

Evaluate the solution of the standard Kepler equation

Function Resource: NestWhileGraph

Iteratively construct graphs up to a termination condition

Function Resource: TheodorusT

Evaluate the Theodorus function

Function Resource: NielsenF

Evaluate the Nielsen function F

Function Resource: AssociationNormalize

Normalizes the values of an Association

Function Resource: MockTheta

Implement the Ramanujan mock theta functions

Function Resource: CarlemanMatrix

Evaluate the Carleman matrix of a function

Paclet Resource: Wolfram/Mockingbird

Utilities for locally overriding function behavior, useful in software testing and much more

Function Resource: MatrixSign

Evaluate the matrix sign function

Example Resource: Measure the Performance of a Predictor

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

Function Resource: CurveAnalysis

Get a dynamic plot of a univariate function along with supplemental algebraic and calculus-based properties of the function

Function Resource: NielsenG

Evaluate the Nielsen function G

Function Resource: PivotTable

A spreadsheet-like operation to collate data by values common to specified columns, summarizing corresponding values in a specified column

Example Resource: Confusion Matrix of a Classifier

Classify the land surface in a satellite image

Function Resource: MathieuEllipticSin

Evaluate the sine-elliptic Mathieu function

Function Resource: MathieuEllipticCos

Evaluate the cosine-elliptic Mathieu function

Function Resource: DienesBlock

Create a Dienes block visualization of an integer in any base

Example Resource: Design a Lowpass Butterworth Filter

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

Function Resource: FabiusF

Evaluate the Fabius function

Function Resource: EchoEvaluate

Debug applications of a function more easily by printing its arguments and the result

Function Resource: NestedAssociate

Append a value in a nested association

Example Resource: Relationships between Particle Detectors

Visualize links between families of measurement devices

Example Resource: Salinity of Seawater at Different Depths

Visualize deviations from the standard average value

Function Resource: KeyReset

Reset the keys of an Association as values

Paclet Resource: JanM/Dixon

The Dixon elliptic functions in Mathematica

Data Resource: Sample Data: Chicken Weight

Biometrika is primarily a journal of statistics in which emphasis is placed on papers containing original theoretical contributions of direct or potential value in applications.

Function Resource: SymbolDependencies

Get a list of symbols that an expression depends on

Function Resource: Totatives

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

Function Resource: BaseballWOBA

Calculate a batter's weighted on-base average (wOBA)

Example Resource: Grover's Search Algorithm

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

Function Resource: CobwebPlot

Visualize one-dimensional iterated functions

Function Resource: PhraseRiffle

Convert a list of strings into a phrase

Prompt Resource: TechJargonize

Add Tech Industry jargon to standard text

Function Resource: FrobeniusPiecewiseDSolveFormula

An auxiliary function for the resource function FrobeniusPiecewiseDSolve

Function Resource: FullRankDecomposition

Compute a full rank decomposition of a matrix

Function Resource: ToFullString

Create a string of the FullForm of an expression with fully qualified symbol names

Function Resource: ColorWheelSelector

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

Function Resource: BidiagonalDecomposition

Compute the bidiagonal decomposition of a numerical matrix

Function Resource: LineFit

Fit a line to data points in n-dimensional space

Function Resource: JacobianMatrix

Compute the Jacobian matrix of a vector function with respect to a list of variables

Function Resource: JacobianDeterminant

Compute the Jacobian determinant of a vector function with respect to a list of variables

Function Resource: ConfirmedMapping

Map functions over data, stopping when an error is generated

Function Resource: OverflowBarChart

A version of BarChart that accommodates large outlier values

Function Resource: MeijerGForm

Convert a mathematical expression into an equivalent expression with head MeijerG

Function Resource: FoxHForm

Convert a mathematical expression into an equivalent expression with head FoxH

Data Resource: Orbital Variations and Insolation Database

Dataset of insolation values at different latitudes from 5000000 cal yr BP (-4998050 CE) to 0 cal yr BP (1950 CE)

Example Resource: Similarity of Instrument Recordings

Use distance metric functions on audio features extracted from audio signals to compute similarity

Function Resource: EllipticRationalR

Evaluate the elliptic rational function

Function Resource: LongFormDataset

Converts tabular data into a long-form dataset

Function Resource: PolynomialApproximation

Approximate a function with a polynomial

Function Resource: TuckerDecomposition

Compute the Tucker decomposition of a tensor

Function Resource: TreemapPlot

Plot a nested list of values as a treemap

Function Resource: GeometricProgression

Produce a set of values in geometric progression

Function Resource: NibbleArray

An array of nibbles (four-bit values)

Function Resource: FractionIndicator

Visualize fractional values with minimal styling

Function Resource: ResetDirectoryStack

Reset the value of Directory[] and DirectoryStack[]

Function Resource: Decile

Get the decile values of a list of data

Function Resource: SequenceLimit

Numerically estimate the limit of a sequence of values

Function Resource: Tetartoid

Get a tetartoid given three values

Function Resource: DropLargest

Drop the largest values from a list

Function Resource: DropSmallest

Drop the smallest values from a list

Function Resource: CanonicalListRotation

Return a canonical rotation for a list of values

Function Resource: IntegerChop

Round near-integer values to integers

Function Resource: InterpretedTrueQ

Determine if a value should be interpreted as True

Function Resource: PairMap

Map a function to pairs formed from a list and another function

Function Resource: IntegrateAlgebraic

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

Function Resource: RationalInterpolation

Find a rational interpolation of a function

Function Resource: Fusc

Evaluate the fusc function

Prompt Resource: CommentSuggest

Suggest a comment to describe a given block of code

Function Resource: EvaluateDefinitionNotebookSection

Evaluate code in a resource function definition notebook

Function Resource: BiasedRescale

Bias a value in the unit interval either lower or higher

Function Resource: AssociationThrough

Generate an association from applying different operations to an expression

Function Resource: RationalSmoothStep

A sigmoidal interpolating rational function

Function Resource: GeneralRationalInterpolation

Find a rational interpolation of a function defined parametrically

Function Resource: AkimaSpline

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

Function Resource: BulirschCEL

Evaluate Bulirsch's general complete elliptic integral

Prompt Resource: TechDejargonize

Convert Tech Industry jargon into plain speak

Function Resource: UpToBinaryCompositions

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

Function Resource: DLMFHue

Get a color based on the Digital Library of Mathematical Functions (DLMF) color wheel

Function Resource: GeneralMiniMaxApproximation

Find a mini-max approximation of a function defined parametrically

Function Resource: UniqueContext

Provide a new context that contains no symbols

Function Resource: FullSymbolName

Return a fully qualified name of a symbol regardless of current context settings

Example Resource: Forecast the Weather

Compare weather forecast data to historical values and visualize the results

Function Resource: FindNestedTransientRepeat

Decompose a nested iteration into its transient and repeating parts

Function Resource: IrreducibleBinaryCompositions

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

Function Resource: RandomBSplineSurface

Generate a random surface with B-splines

Function Resource: PeriodicBoxDisplacement

Get the shortest displacement between two points in a box with periodic boundary conditions

Example Resource: Spiralling Around a Molecule

Use a piecewise function to create a helical path around a molecule for animation

Example Resource: Quantum Circuit Noise Parameter Estimation

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

Function Resource: MissingDataLogLikelihood

Compute a log-likelihood for data with missing values

Function Resource: ComplexBubblePlot

Visualize a complex function as an array of bubbles

Function Resource: SmoothStep

A sigmoidal interpolation function

Function Resource: ArrayCropPad

Crop uniform values from the edges of an array

Function Resource: NumericalIntegralApproximation

Determine the value of an integral using a numerical method

Function Resource: TimeSeriesSelect

Filter values out of a time series object

Function Resource: TetrationMod

Get the mod value of large exponential towers

Function Resource: Inline

Insert the values of symbols into an expression before evaluation

Function Resource: IncreasingFilter

Filter a list, keeping only increasing values

Function Resource: DottedArrayPlot

Plot an array of values, with dots at specified positions

Function Resource: AllSameAs

Check if all elements of a list are the same as a value

Function Resource: ListBuilder

Generate a list with values satisfying a given condition

Function Resource: TableauQ

Determine if a list of values forms a Young tableau

Function Resource: AggregateSmallest

Group small values in an association into a single category

Function Resource: Collatz

Get the Collatz sequence starting with a given value

Example Resource: Distinguish Daytime from Nighttime Pictures

Train a simple classifier to distinguish daytime photos from nighttime ones

Function Resource: SchurS

Evaluate the Schur polynomial corresponding to an integer partition

Function Resource: MatrixPolynomial

Evaluate a matrix polynomial

Function Resource: ArcTanIntegral

Evaluate the inverse tangent integral

Function Resource: BooleanCompose

Functionally compose a Boolean expression

Function Resource: InverseBoole

Inverse of the Boole function

Function Resource: PolynomialRatioSeriesCoefficient

Calculate the coefficient of series P(x)/Q(x) in front of x^n, where P(x) and Q(x) are polynomials in x

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

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

Function Resource: BernoulliBTree

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

Paclet Resource: PeterBurbery/GeographyData

Functions for geography

Function Resource: BinaryCompositions

List all possible binary compositions for a set of chosen symbols

Function Resource: PrintDefinitions

Browse a list of hyperlinked definitions associated with a symbol

Function Resource: CopyDefinitions

Copy the definitions of one symbol to another

Function Resource: ReplaceContext

Transform an expression by replacing all symbols in one context with symbols of the same name in another context

Function Resource: PeriodicBoxDistance

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

Function Resource: TraversalOrderSelect

Choose positions of an expression by certain traversal-ordering criteria

Function Resource: EpsteinHubbellOmega

Evaluate the Epstein–Hubbell integral

Function Resource: FowlerNollVoHash

Hash an expression using Fowler-Noll-Vo hashing

Paclet Resource: KirillBelov/Internal

Internal

Function Resource: IntegrateRational

Compute the indefinite integral of a rational function

Function Resource: ParameterizePolygon

Find the parameterization of a curve that linearly connects a list of points

Function Resource: SetUnless

Initialize a value unless it already satisfies a given condition

Function Resource: MiniMaxApproximation

Find a mini-max approximation of a function

Function Resource: InverseFibonacci

Compute the inverse Fibonacci function

Paclet Resource: WolframChemistry/ProteinVisualization

Functions for protein visualizations

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: WTC/Utilities

General Utility Functions

Paclet Resource: ZigangPan/Examples

A few functions for $Assumptions

Paclet Resource: AntonAntonov/NotebookModifiers

Notebook modification functions

Paclet Resource: AntonAntonov/OutlierIdentifiers

Outlier identifier functions

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Function Resource: DefinitionData

Store full definitions for a symbol in a compact object

Function Resource: PercusYevickRDF

Evaluate the radial distribution function for a fluid of hard spheres

Function Resource: RamanujanC

Evaluate Ramanujan's sum

Function Resource: PositionedCases

Find positions and values within an expression matching a pattern

Function Resource: BinarySearch

Find the position of a target value within a sorted array

Function Resource: TableWhile

Create tables of values while given criteria hold

Function Resource: LookupCases

Look up all values of a key in a nested association

Function Resource: FormatDataset

Format a dataset using a given set of option values

Function Resource: SkipListStructure

A values-sorted data structure with fast insertion and deletion

Function Resource: InformationAssociation

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

Function Resource: NaNQ

Test if a numeric value is an IEEE 754 NaN

Function Resource: PseudonymizeData

Consistently replace sensitive data values with UUIDs

Function Resource: SolidHarmonicR

Evaluate the regular solid harmonic function

Function Resource: SchettPolynomial

Compute the Schett polynomial

Function Resource: RamanujanPrimes

Compute Ramanujan primes

Function Resource: ArgHue

Map the argument of a complex number to a color

Function Resource: SmootherStep

An improved sigmoidal interpolation function

Paclet Resource: ChristopherWolfram/WebServer

Easily create a local web server for hosting APIFunctions, FormFunctions, URLDispatchers, etc.

Function Resource: HoldArguments

Construct a function from another function that holds certain arguments

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: SaundersDigitPlot

Make a Saunders plot of a function

Function Resource: ContextModule

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

Function Resource: Arity

Compute the arity of a function

Function Resource: BinarySerializeWithDefinitions

Serialize an expression along with any dependent definitions

Function Resource: GeneralizedChaosGame

Create fractals with random partial jumps toward reference points

Function Resource: JordanTotient

Evaluate Jordan's totient function

Paclet Resource: PeterBurbery/FileSystem

Functions for manipulating files and directories

Paclet Resource: FaizonZaman/MacroTools

Convenience and Experimental function implementations

Paclet Resource: AntonAntonov/EpidemiologicalModeling

Functions for creation of epidemiological models

Paclet Resource: AntonAntonov/MonadMakers

Functions for making software monads

Paclet Resource: AntonAntonov/AssociationRuleLearning

Functions for association rule learning

Function Resource: InflectionPoints

Find the inflection points of a function of one variable

Function Resource: ZolotarevZ

Evaluate the Zolotarev polynomial

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: Uncurry

Reverse a Curry operation

Function Resource: PiecewiseD

The derivative of a piecewise function with Indeterminate for points or regions where the function is not defined

Function Resource: RYBColor

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

Function Resource: LimitedCache

Cache computations like Once but with a maximum number of cached values

Function Resource: PreviousNextElement

Get the elements that appear before and after a given value in a list

Function Resource: SystemModelManipulate

Manipulate parameters or initial values in plots of model simulation results

Function Resource: MatrixPencilSolve

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

Function Resource: DeleteFrom

Delete an element from the value of a symbol and reset the symbol to the result

Function Resource: DotPlot

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

Paclet Resource: AntonAntonov/PaLMLink

PaLM API linking functions

Paclet Resource: PeterBurbery/DateTime

A paclet that contains functions for date and time

Paclet Resource: ZigangPan/CalculateInverse

This paclet is some basic utility functions

Paclet Resource: PeterBurbery/Combinatorics

Combinatorics functions for subsets, tuples, and permutations

Paclet Resource: PeterBurbery/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Paclet Resource: Wolfram/DiffTools

Functions for discovering, viewing, and managing diffs

Paclet Resource: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

Function Resource: CPDecomposition

Compute the canonical polyadic (CP) decomposition of a tensor

Function Resource: ReverseAccumulate

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

Function Resource: PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

Function Resource: HarmonicConjugate

Compute the harmonic conjugate of a function

Function Resource: StationaryPoints

Compute the stationary points of a function of one or more variables

Function Resource: SymbolicSort

Sort symbolic expressions using assumptions

Function Resource: SolidHarmonicI

Evaluate the irregular solid harmonic function

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

Paclet Resource: LukasLang/PlotGridDoc

Extra examples for the resource function PlotGrid

Paclet Resource: ZigangPan/DifferentialGeometricNonlinearControl

Some function implementations of differential geometric operators

Function Resource: SectionPlot3D

Plot a surface together with various types of sections of the surface

Function Resource: DirectionParametricPlot

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

Function Resource: DirectionParametricPlot3D

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

Function Resource: MaximizeOverPermutations

Find the permutation that maximizes a function

Function Resource: FileNameEdit

A convenience function for renaming files

Function Resource: ProductIntegrate

Evaluate the product integral of a function

Function Resource: Logit

The logit function from probability

Function Resource: DirectionalD

Compute the directional derivative of a function

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Function Resource: QuantileOperator

An operator form of the Quantile function

Function Resource: ChainD

Get the derivative with respect to a function

Function Resource: ProductD

Evaluate the product derivative of a function

Function Resource: FactorialSeriesExpansion

Expand a function into a factorial series

Function Resource: BindToLocalSymbol

Bind a symbol to a LocalSymbol so its value will automatically persist

Function Resource: AddDocumentationTools

Add a toolbar for formatting function documentation to a notebook

Function Resource: BulirschEL

Evaluate Bulirsch's general incomplete elliptic integral

Function Resource: PublisherResources

Retrieve data on the published resource objects for a publisher

Function Resource: NecklaceCount

Count the number of distinct necklaces made with beads of different colors

Function Resource: ColorWinding

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

Function Resource: DateListPlotRanged

Plot a time series that includes shading to indicate ranges in the plotted value

Function Resource: RoundedPercentageAllocation

Split a value into list of rounded numbers according to a list of target proportions

Function Resource: PopupMenuOther

A version of PopupMenu that provides an InputField to enter "other" values

Function Resource: AspectRatioImagePad

Pad an image so its aspect ratio approximates a specified value

Function Resource: QuadraticResidueAcousticDiffuser

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

Function Resource: LookupPart

Get part of an expression or return a default value if it doesn’t exist

Function Resource: IntegratePFD

Integrate a rational function using partial fraction decomposition

Function Resource: CoordinateVector

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

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Paclet Resource: AntonAntonov/TriesWithFrequencies

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

Paclet Resource: Obando/CAGenetics

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

Paclet Resource: KirillBelov/MaterialsProjectLink

Wolfram functions for calling Materials Project Rest API

Function Resource: FocalLossLayer

A NetGraph layer implementing focal loss

Function Resource: CosDiceLossLayer

A NetGraph layer implementing cos-dice loss

Function Resource: GeneralizedSmoothStep

A generalized sigmoidal interpolating polynomial

Function Resource: MapCases

Map a function at parts of an expression that match a given pattern

Example Resource: Fine Structure Conjectures

Obtain a list of numeric expressions that have been proposed as possible exact values for the fine structure constant

Function Resource: BulirschEL1

Evaluate Bulirsch's incomplete elliptic integral of the first kind

Function Resource: PolyLogSimplify

Simplify polylogarithms in an expression

Prompt Resource: WolframSampleCode

Create an example of Wolfram Language code using a specific symbol

Function Resource: GainRescale

Apply a flatter or steeper variation in the middle of an interval

Function Resource: RecognizeSeries

Recognize functions by their power series expansions

Function Resource: PolyharmonicSplineInterpolation

Interpolate data using polyharmonic splines

Function Resource: TraceTree

Generate a tree of all expressions in an evaluation chain

Function Resource: TraceGraph

Generate a graph of all expressions in an evaluation chain

Function Resource: BulirschEL2

Evaluate Bulirsch's incomplete elliptic integral of the second kind

Function Resource: BulirschEL3

Evaluate Bulirsch's incomplete elliptic integral of the third kind

Paclet Resource: TheRealCStover/Trigonometry

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

Function Resource: IntegralApproximationPlot

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

Function Resource: AreaBetweenCurves

Find the area between two plane curves

Function Resource: NSeries

Find a numerical approximation of a series expansion of a function

Function Resource: InverseFourierCoefficient

Find a function with a given Fourier exponential series

Function Resource: FindMinimumPlot

Visualize the function evaluations done by FindMinimum

Function Resource: TurboColor

Implementation of the Turbo color map

Function Resource: ReplaceNaN

Replace all IEEE 754 NaN values in an array with custom representations

Function Resource: NonNegativeExcessDistribution

Compute the distribution of the amount in excess of a specific value drawn from an underlying distribution

Function Resource: GroupMerge

Group rows in data by key values and summarize the remaining keys with a merging operator

Function Resource: CommandLineParse

Parse a command, returning a Dataset of all flags present and their associated parameter values

Function Resource: ParameterizedStarData

Compute the typical properties of a star of known type given another property value

Function Resource: Intercepts

Compute the intercepts of a function with the coordinate axes

Function Resource: InsideOutsidePlot

Make an inside-outside plot of a function

Function Resource: DirectionalDerivative

Compute the directional derivative of a function at a point

Function Resource: MapAtPart

Map different functions at particular positions

Function Resource: ThieleExpansion

Expand a function into a Thiele continued fraction

Function Resource: CoefficientMap

Map a function over the coefficients of a polynomial

Function Resource: CriticalPoints

Find the critical points of a univariate function

Function Resource: SubimageApply

Apply a function to specific subregions of an image

Function Resource: TangentPlane

Find the tangent plane of a function at a point

Function Resource: MapAtKey

Apply functions to specific keys in an association

Function Resource: DifferencesBy

Apply a function to neighboring pairs in a list

Function Resource: MandelbrotSetRemap

Apply functions to remap the Mandelbrot set

Function Resource: EconomizedRationalApproximation

Find an economized rational approximation to a function

Function Resource: MultidimensionalScaling

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

Paclet Resource: Wolfram/Lambda

Tools for the lambda calculus

Function Resource: FoldRight

Compute a right-associated fold

Function Resource: PossibleNameQ

Test if an expression corresponds to a valid symbol name

Function Resource: EnhancedPlot

Plot with several enhancements added for singularities, asymptotes, surd values and non-interval domains

Function Resource: MetropolisHastingsSequence

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

Function Resource: DeleteCasesFrom

Remove all elements from the value of a symbol that match a pattern and reset the symbol to the result

Function Resource: AssociationTemplate

Define a data structure that can refer to its own values to compute new ones

Function Resource: LogContract

Contracts sums of logarithms into a single logarithm

Function Resource: MultiplicationTable

Generate a multiplication table for a range of integers, optionally using modular arithmetic

Function Resource: DiscreteDolphChebyshevWindow

Return a discrete Dolph-Chebyshev window sequence

Function Resource: ColumnMap

Map functions over columns instead of rows

Function Resource: FindNestPeriod

Try to find the repetition period for nesting of a function

Function Resource: MathToMusicTransform

Transform a mathematical function into its musical representation

Function Resource: RightComposeIndexedList

Nest an indexed list of functions to apply to an argument

Function Resource: KeyMapIf

Map a function conditionally over keys in an association

Function Resource: FractionalIteration

Get the flow of an iterated function at a fixed point

Function Resource: NewtonMethod

Approximate the root of a function using Newton’s method

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Function Resource: JoinMap

Map a function over a list and join the result

Function Resource: ReadScan

Evaluate a function applied to each record in a file

Function Resource: ExponentialSmoothStep

Evaluate a smooth step function based on exponentials

Function Resource: FindRootPlot

Visualize the function evaluations done by FindRoot

Function Resource: AddCodeCompletion

Adds code completion to your function’s arguments

Function Resource: CloudResourceObjects

Get a list of cloud-stored resource objects

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Function Resource: FractionalDPolynomialRoots

Compute and visualize the roots of fractional (noninteger) derivatives of polynomials

Function Resource: NDerivative

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

Function Resource: NInverseFourierCoefficient

Find a numerical approximation for a function with a given Fourier exponential series

Function Resource: EigenvectorPlot

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

Function Resource: DecimalRound

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

Function Resource: FileDownloadResponse

Generate an HTTP response that prompts the browser to download as a given file name

Function Resource: NearestKroneckerProductSum

Approximate a numerical matrix as sum of Kronecker products

Function Resource: OrthogonalPolynomialCoefficientConvert

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

Paclet Resource: RobertNachbar/MoleculeComplex

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

Function Resource: HessianDeterminant

Compute the Hessian determinant of a function with respect to a list of variables

Function Resource: LinearDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of linear functions

Function Resource: HessianMatrix

Compute the Hessian matrix of a function with respect to a list of variables

Function Resource: CubicDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of cubic functions

Function Resource: AccumulateApply

Apply a function to progressively longer sequences from a list

Function Resource: SelectFirstBy

Apply a function to a list and select the first that satisfies a test

Function Resource: SetOutputFormCellLabels

Set up custom cell labels for a formatting function

Function Resource: NFourierSinCoefficient

Find a numerical approximation for a Fourier sine coefficient of a function

Function Resource: GaussianQuadratureError

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

Function Resource: QuadraticDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of quadratic functions

Function Resource: TransfiniteInterpolation

Transfinite interpolation of functions representing boundary curves of a surface

Function Resource: CanonicalBasis

Obtain the canonical bases for selected spaces of matrices and functions

Function Resource: MatplotlibObject

Supplement Wolfram Language plotting functions with Python's Matplotlib

Function Resource: VerificationTestCoverage

Count VerificationTest definitions for each function in a package

Function Resource: PositionLargestBy

The position of the elements in a list that are largest according to a given function

Function Resource: IncompletePFD

Give the incomplete partial fraction decomposition of a rational function

Function Resource: InversionTransform

Generate a geometric transformation function for inversion about a point

Function Resource: NFourierCosCoefficient

Find a numerical approximation for a Fourier cosine coefficient of a function

Function Resource: QuietCheck

Use Check and Quiet, conveniently combined into one function

Function Resource: ThroughOperator

An operator that applies multiple functions to one set of arguments

Function Resource: FailIfUnevaluated

Test if a function doesn't evaluate for given arguments

Function Resource: EvaluateBenchmark

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

Function Resource: StirlingsFormula

Compute an approximation to a factorial with Stirling's formula

Function Resource: CalkinWilfTree

Generate a complete binary tree of positive fractions

Paclet Resource: AntonAntonov/ClassifierEnsembles

Creation of- and classification with ensembles of classifiers

Function Resource: UseRealRoots

Convert all nth roots in an expression, where n is an odd integer, to their real-valued nth roots

Function Resource: IntegralApproximationPlot3D

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

Function Resource: QuadricSurfacePlot

Classify and plot any polynomial of degree two or less in three or fewer variables

Function Resource: EnlargeBoundingBox

Increase a bounding box by a fractional amount

Function Resource: RegularPolygonAngleRadius

Compute the polar radius of a regular polygon

Function Resource: MinMaxRounded

Get the minimum and maximum of a list rounded to a multiple

Function Resource: AssessmentTree

Create a tree of AssessmentFunction expressions to traverse during assessment

Function Resource: PaduaInterpolation

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

Function Resource: ProbNumObject

PythonObject configuration for the Python package ProbNum

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: OptionNames

Get the names of options for a function, possibly filtered according to a pattern

Function Resource: ChoquetIntegral

Compute numerically the Choquet integral of a function with respect to a probability distribution

Function Resource: SinusoidPlotQuiz

Generate a quiz to assess understanding of the graphs of sine and cosine functions

Function Resource: MapLevel

Create an operator that maps a function over data at a specified level

Function Resource: DynamicMap

Map functions over lists while showing dynamic progress

Function Resource: SuggestPlotRange

Get a variable range against which to plot a given function

Function Resource: WordCloudFromNames

Make a word cloud from strings of names for symbols and functions

Function Resource: NFourierCoefficient

Find a numerical approximation for a Fourier exponential series coefficient of a function

Function Resource: BinListsBy

Bin data into lists based on applying a function to each item

Function Resource: KeyGroupBy

Apply a function to keys of an Association and group results by modified keys

Function Resource: DirectedAcyclicEvaluate

Evaluate functions locally over any directed acyclic graph

Function Resource: RightComposeIndexed

Get the final result of nested application of an indexed list of functions

Function Resource: NFourierSeries

Find a numerical approximation for an exponential Fourier series expansion of a function

Function Resource: NFourierTrigSeries

Find a numerical approximation for a trigonometric Fourier series expansion of a function

Function Resource: EvaluationTiming

Get a full timing report for functions evaluated during an evaluation

Function Resource: MapIf

Map a function for elements in a list when a test gives True

Function Resource: NoEntry

Hold an expression and make its content inaccessible to other functions

Function Resource: FoldRotate

Nest a list of functions around a seed, folding in a list of elements

Function Resource: ApplyLevel

Create an operator that applies a function over data at a specified level

Function Resource: DVectorField

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

Function Resource: EpicyclePlot

Plot the composition of cycles having different radii, frequencies and phases

Function Resource: PolynomialToBSplineCurve

Make a B-spline representation of a polynomial over an interval

Function Resource: BinetFibonacci

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

Function Resource: QuadricPlot3D

Plot a quadric surface, automatically determining the regions of interest, view direction and scaling

Function Resource: EulerianNumber

Get the number of permutations with a given number of ascents

Function Resource: DisplayPowersTogether

Display multiplication and/or division of factors with the form x^y as one factor

Function Resource: CloudObjectBase

Get the cloud base for a cloud object

Function Resource: MonotonicInterpolation

Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data

Function Resource: CalkinWilf

Get the position of a fraction or vice-versa within the Calkin–Wilf sequence

Function Resource: LSystemPlot

Display an L-system

Function Resource: SternBrocot

Get the position of a fraction or vice-versa in the Stern–Brocot sequence

Paclet Resource: AntonAntonov/MonadicContextualClassification

A monad for machine learning classification workflows

Function Resource: ExpectedClassifierMeasurements

Computes an expectation of classifier measurements over a probability distribution of utility functions

Function Resource: WLMinVersion

Find what version of Wolfram Language you need to define a function

Function Resource: LookupKeys

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

Function Resource: TaylorPolynomial

Compute the Taylor polynomial of a given order of a function of one or several variables

Function Resource: DerivativeSignCharts

Get a grid of sign charts for a function and its first and second derivatives

Function Resource: NInverseFourierSequenceTransform

Find a numerical approximation to the inverse Fourier sequence transform of a periodic function

Function Resource: MergeByKey

Merge a list of associations using different merge functions for different keys

Function Resource: AsynchronousDynamicModule

A wrapper function for dynamic modules that causes a placeholder to be shown during initialization

Function Resource: SplitByIndexed

A function like SplitBy, but with added support for using the indices of the elements in the list

Function Resource: MappedTransformedDistribution

Transform a statistical distribution by applying the same function to all of its arguments

Function Resource: RandomPseudoSymbolName

Generate a new symbol name in the spirit of the Wolfram Language

Function Resource: DelannoyD

Evaluate the Delannoy number

Function Resource: HydrogenWavefunction

The position-space wavefunction of the hydrogen atom

Function Resource: RiemannSphereComplexPlot

A 3D rotatable Riemann sphere version of ComplexPlot

Function Resource: FussCatalanNumber

Evaluate the Fuss–Catalan number

Function Resource: Primorial

Evaluate the primorial

Function Resource: CurvaturePlot

Plot a curve defined by its curvature

Data Resource: A Billion Bits of the Center Column of the Rule 30 Cellular Automaton

The center column of the rule 30 cellular automaton over a billion steps of evolution

Function Resource: SymbolExamples

Create a notebook of all documentation examples for a symbol

Function Resource: GetDefinitions

Use Get without modifying the $ContextPath

Paclet Resource: WolframInstitute/PiMachine

Universal Reversible Machine

Function Resource: TimeShiftedDistribution

A derived distribution useful in actuarial science

Function Resource: QuantumWignerTransform

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

Function Resource: ManipulatePlot

Generate a plot in which the plot ranges and function parameters can be manipulated dynamically

Function Resource: ImplicitD

Compute the derivative y' as a function of x from an implicit equation in those variables

Function Resource: MapSlice

Provide the part specifications to a mapped function as a sequence of arguments after the first one

Function Resource: NewtonMethodPlot

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

Neural Net Resource: Sentiment Language Model Trained on Amazon Product Review Data

Generate text in English and analyze sentiment

Neural Net Resource: StarGAN Trained on CelebA Data

Translate an image from one domain to another

Function Resource: CUSUMMaxRandomnessTest

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

Data Resource: Seven Year Microwave Sky

The detailed, all-sky picture of the infant universe created from seven years of WMAP data

Function Resource: NResidue

Find a numerical approximation of a residue of an expression around the specified point

Function Resource: CreateResourceObjectGallery

Deploy a gallery of resource objects to the cloud

Function Resource: FrenetSerretPlot

Plot the Frenet–Serret frame of a curve

Function Resource: NInverseFourierCosTransform

Find a numerical approximation for an inverse Fourier cosine transform

Function Resource: ScheduleCloudObjectExpiration

Deploy a task to delete or replace a CloudObject after a delay

Function Resource: EulerFalseLog

Evaluate Euler's false logarithmic series

Function Resource: Tetration

Compute the order-k tetration of a number

Function Resource: CurvatureTorsionPlot3D

Plot a curve defined by its curvature and torsion

Function Resource: OrthogonalPolynomialDividedDifference

Evaluate the divided difference of a finite orthogonal polynomial series

Function Resource: JacobiMatrix

Generate the Jacobi matrix corresponding to an orthogonal polynomial

Function Resource: NEigenvalueSumGradient

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

Function Resource: GetQuestionAssessments

Retrieve stored results from a deployed QuestionObject

Function Resource: QuestionDeploy

Deploy a question object to the cloud

Function Resource: UnwindingNumber

Evaluate the unwinding number

Function Resource: StandardDragCurve

One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion

Function Resource: TableToTrainingSet

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

Function Resource: MapSelectCounted

Map a function over selected elements of a list, also passing in a running count of such elements

Function Resource: MapReduceOperator

Like an operator form of GroupBy, but where one also specifies a reducer function to be applied

Function Resource: OnFailure

Apply a function on an expression when FailureQ gives True on it; otherwise, return the expression

Function Resource: CurvedSpacetimeSprinkling

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

Function Resource: NestGraphTagged

Create a graph by successively applying a function and differently tagging edges corresponding to different outputs

Function Resource: SteganographyExtract

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

Function Resource: OrthogonalPolynomialVandermondeMatrix

Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector

Function Resource: GraphicsMetricGraph

Create a mesh representing a metric from a graphic

Function Resource: Spirograph

Plot a spirograph

Function Resource: SecuritiesTracker

Create a webpage to track prices of publicly traded securities

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

Generate a portrait sketch from a photo

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

Estimate the depth map of an image

Function Resource: OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

Function Resource: ROCPoints3D

Extract the false positive rate, true positive rate and threshold values from the receiver operating characteristic (ROC) curve generated by a ClassifierMeasurementsObject

Function Resource: ModularTessellation

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

Function Resource: ProportionsBy

Get the proportion of times that each distinct element appears in a list when evaluated with a given function

Function Resource: MonteCarloSample

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

Function Resource: SectionContourPlot

Give a contour plot of a function together with the projections onto the xy-plane of the given sections of the plot

Function Resource: Triangle3DTo2D

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

Function Resource: InverseSigmaConfidenceLevel

Calculate the number of standard deviations of a normal distribution that correspond to a confidence level

Function Resource: RuledSurfacePlot

Plot a ruled surface

Function Resource: StieltjesJacobiE

Evaluate the Stieltjes-Jacobi polynomial

Function Resource: GeneOntologyData

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

Function Resource: ComradeMatrix

Generate the comrade matrix corresponding to an orthogonal polynomial series

Function Resource: CreateRandomFile

Create a file filled with random bytes for testing

Function Resource: Monus

Truncate negative numbers in the result of subtraction

Function Resource: IntrinsicCurvedManifoldToGraph

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

Function Resource: DuplicatesBy

Select all the elements from a list for which a given function returns the same answer twice or more

Neural Net Resource: Vanilla CNN for Facial Landmark Regression

Determine the locations of the eyes, nose and mouth from a facial image

Function Resource: OrthogonalPolynomialVandermondeSolve

Solve an orthogonal polynomial Vandermonde linear system

Data Resource: US Public Housing Authorities 2016

2016 HUD public housing authority data

Data Resource: MycoDB

Data on plant response to mycorrhizal fungi

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: LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

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: WignerMatrix

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

Function Resource: PowerMean

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

Function Resource: PowerTotal

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

Data Resource: HUD Location Affordability Index

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

Function Resource: ConicSectionPlot

Classifies and plots any polynomial of degree two or less in two or fewer variables

Function Resource: ParametricManifoldToGraph

Generate the graph associated with a parametric description of a manifold

Function Resource: GeneralizedGaussianQuadratureWeights

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

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: World Atlas of Language Structures

Dataset of structural properties of languages

Paclet Resource: Wolfram/Patterns

Utilities for working with patterns

Data Resource: Bipartite Diseasome Network

A bipartite network of diseasome linked by known disorder-gene associations

Neural Net Resource: Wolfram AudioIdentify V1 Trained on AudioSet Data

Identify sounds in an audio signal

Function Resource: OEISSequence

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

Neural Net Resource: MobileNet V3 Trained on ImageNet Competition Data

Identify the main object in an image

Neural Net Resource: Wolfram ImageIdentify Net V1

Identify the main object in an image

Function Resource: MutualInformation

Compute the mutual information of data samples or a multivariate distribution

Function Resource: SkyViewImage

Get images from SkyView

Neural Net Resource: Self-Normalizing Net for Numeric Data

Perform classification or regression on numeric data

Data Resource: Periodic Groundwater Level Measurements

Dataset of seasonal and long-term groundwater level measurements in groundwater basins in California

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

Generate a satellite photo from a street map

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

Generate a street map from a satellite photo

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

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

Neural Net Resource: CycleGAN Monet-to-Photo Translation

Turn a Monet-style painting into a photo

Neural Net Resource: CycleGAN Photo-to-Van Gogh Translation

Turn a photo into a Van Gogh-style painting

Neural Net Resource: CycleGAN Photo-to-Monet Translation

Turn a photo into a Monet-style painting

Neural Net Resource: CycleGAN Horse-to-Zebra Translation Trained on ImageNet Competition Data

Turn horses into zebras in a photo

Neural Net Resource: CycleGAN Zebra-to-Horse Translation Trained on ImageNet Competition Data

Turn zebras into horses in a photo

Neural Net Resource: CycleGAN Winter-to-Summer Translation

Turn a wintertime photo into a summertime photo

Neural Net Resource: CycleGAN Summer-to-Winter Translation

Turn a summertime photo into a wintertime photo

Neural Net Resource: CycleGAN Orange-to-Apple Translation Trained on ImageNet Competition Data

Turn oranges into apples in a photo

Neural Net Resource: CycleGAN Photo-to-Cezanne Translation

Turn a photo into a Cezanne-style painting

Neural Net Resource: CycleGAN Apple-to-Orange Translation Trained on ImageNet Competition Data

Turn apples into oranges in a photo

Neural Net Resource: RetinaNet-101 Feature Pyramid Net Trained on MS-COCO Data

Detect and localize objects in an image

Data Resource: Sample Data: Hyytiala Trees

Locations of trees recorded at Hyytiala, Finland, annotated with species (pine/birch/rowan/aspen) marks

Paclet Resource: ZigangPan/NonlinearCholeskyFactorization

Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement

Paclet Resource: ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Paclet Resource: Wolfram/PacletCICD

Continuous integration and deployment for Wolfram Language paclets

Paclet Resource: ZigangPan/RobustBackSteppingCancellation

A few robust backstepping tools

Paclet Resource: Bob/ContentBrowser

Create notebook-based browsers for content

Paclet Resource: ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Paclet Resource: Wolfram/Chatbook

Wolfram Notebooks + LLMs

Paclet Resource: ZigangPan/SystemofSystems

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

Data Resource: United States Supreme Court Decisions 1946-present

Datasets relating to Supreme Court cases from 1946 to present

Function Resource: NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

Function Resource: FailWhenUndefined

Append a definition rule to a symbol so that it will fail when given undefined arguments

Function Resource: StatisticalExampleData

Retrieve datasets for statistical analysis and modeling

Function Resource: RandomItem

Create a random item of the specified type

Function Resource: StartPythonSession

Simplify launching of a new Python session

Function Resource: ImportHEALPix

Import a file that contains HEALPix encoded data

Example Resource: Biological Sequences of Insulin across Species

Visualize and analyze biomolecular sequences including DNA and peptide sequences

Function Resource: BresenhamPoints

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

Function Resource: InheritDefinitions

Inherit a symbol's definitions

Function Resource: ModifiedGaussianQuadratureWeights

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

Function Resource: AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

Function Resource: DeclareArgumentCount

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

Function Resource: GoldbergGraph

Create a graph corresponding to a Goldberg polyhedron

Function Resource: BlendSpices

Create complementary spice blends interactively

Data Resource: U.S. State Fairgrounds

Locations for United States State and Regional Fairs

Example Resource: Solve PDEs with Events over Regions

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

Paclet Resource: AntonAntonov/MonadicSystemDynamics

Software monad for System Dynamics workflows

Function Resource: MortalityConvert

Convert vector descriptions of mortality into another representation

Function Resource: QueryCodeCompletion

Query the autocompletion system

Function Resource: LeeInterpolatingNodes

Generate interpolating nodes from points on a curve

Example Resource: Compare the Shape of Different Countries

Calculate shape distances between countries using canonical time warping

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.

Paclet Resource: PeterBurbery/NewLinearAlgebraPaclet

A paclet for linear algebra

Function Resource: MolecularComplexity

Compute the molecular complexity of a given molecule

Function Resource: RandomSmilesString

Get a random SMILES string for a molecule

Function Resource: FiveThirtyEightPresidentialPollingAverages

Import polling data on presidential elections from the website FiveThirtyEight

Function Resource: IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

Function Resource: JobackEstimate

Estimate physical properties of chemicals using Joback fragmentation

Function Resource: SmilesString

Get a SMILES string for a molecule

Paclet Resource: PeterBurbery/NewProgrammingUtilitiesPaclet

A new paclet for programming utilities

Neural Net Resource: YOLO V5 Trained on MS-COCO Data

Detect and localize objects in an image

Function Resource: IUPACName

Find the systematic IUPAC name for a molecule

Function Resource: BlockDiagonalMatrix

Create a block-diagonal matrix from submatrices

Data Resource: Repurposing Therapeutics for COVID-19

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

Function Resource: BKKRootBound

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

Example Resource: Create a Periodic Table of Spectral Lines

Access built-in data from the NIST Atomic Spectra Database for each element

Function Resource: MacSystemProfiler

Get macOS system profiler information

Function Resource: StyleInheritanceSummary

View the style inheritance of a named style

Function Resource: CubicSplineInterpolation

Interpolate data with a cubic spline

Function Resource: SphericalLinearInterpolation

Evaluate the piecewise spherical linear interpolant of given data

Function Resource: CubicMonotonicInterpolation

Interpolate data with a monotonic piecewise cubic Hermite interpolant

Function Resource: ArcInterpolation

Create an interpolation augmented with first derivatives of circles through consecutive point triples

Function Resource: GeneralizedAkimaInterpolation

Interpolate data using Akima's method or modifications of it

Function Resource: AutocompleteSearchQuery

Generate suggested text for autocompletion of a search query

Function Resource: OEISSequenceData

Access sequences and metadata from The On-Line Encyclopedia of Integer Sequences

Data Resource: Job Training Efficacy

Data examining the efficacy of job training programs on increasing earnings

Function Resource: TakagiDecomposition

Compute the Takagi decomposition of a complex-symmetric matrix

Function Resource: ConvertLegacyPresenterStylesheet

Update presenter stylesheet styles that dynamically depend on WindowSize and StyleHints

Data Resource: SQuAD v1.1

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

Data Resource: GDB-9 Database

Database of molecular quantum calculations

Function Resource: SymbolQ

Check whether an expression is a symbol

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Function Resource: CommonChemistrySearch

Search the CAS Common Chemistry database for a substance

Function Resource: SolarSystemPlot3D

Plot the positions of solar system objects in 3D

Function Resource: CommonChemistryLookup

Look up a substance's CAS Registry Number in the CAS Common Chemistry database

Function Resource: MoleculeBuriedResiduesIndex

Approximate the surface area of a molecule

Function Resource: MACCSKeys

Compute the 166-bit MACCS (Molecular ACCess System) key

Function Resource: AddMatplotlibColors

Add Matplotlib colormaps to ColorData

Function Resource: KleinBottleGraph

Create a grid graph in the shape of a Klein bottle

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

Data Resource: Mauna Loa Weekly Atmospheric CO2 Concentration

Atmospheric CO2 concentration from continuous air samples at Mauna Loa Observatory

Data Resource: Yearly Sunspot Data

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

Example Resource: Build a Recipe Timeline

Plot a timeline of the steps in recipes

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Data Resource: SQuAD v2.0

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

Function Resource: KernelStatusGrid

Display status information and controls for named kernels

Function Resource: NutritionReport

Generate a nutrition report about foods specified in text

Function Resource: FrobeniusDSolve

Compute an approximate Frobenius or power series solution to an ODE

Function Resource: NotebookCellData

Get structured data about a notebook's cells

Function Resource: PositionCases

Cases for matching subexpressions together with their positions

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

Function Resource: EchoIf

A curried form of Echo that can be useful in certain debugging situations

Function Resource: DiscreteHausdorffDistance

Find the Hausdorff distance between two sets of elements

Function Resource: ColorBrewerData

Get access to the ColorBrewer's colors

Example Resource: Compare Different Versions of a Recipe

Generate a nutrition report for a recipe or any list of ingredients

Function Resource: StatisticsSummary

Create summary statistics for numeric data

Function Resource: ValidSymbolIdentifierQ

Check whether a string is a valid symbol name

Function Resource: MoleculeSymmetryPlot3D

Show a molecule in 3D together with its symmetry elements

Function Resource: CellObjectStyle

Get the style of given CellObject

Function Resource: MoleculePrincipalMomentPlot

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

Function Resource: SparseAssociation

Create a rectangular data structure that behaves like a SparseArray indexed by string keys

Function Resource: BoundaryElementMeshTranslate

Translate a boundary element mesh

Function Resource: FEMAddOnsInstall

Install or update the finite element FEMAddOns paclet

Function Resource: PythonObject

Create a Wolfram Language representation of a Python object

Function Resource: FlattenAmbiguityList

Restructure an expression with nested AmbiguityList expressions into a single flat AmbiguityList

Function Resource: PlaceholderImage

Create a placeholder image of a specified dimension

Function Resource: CharacterInteractionGraph

Create a graph representing the interactions among characters in a story

Function Resource: OllamaSynthesize

Interact with local AI/LLM models via an Ollama server

Function Resource: WebPoll

Create simple web polls

Data Resource: Gridded World Population Density

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

Function Resource: BioMoleculeFluctuationPlot3D

Show the fluctuations of residues in a biomolecule

Example Resource: SARS-CoV-2 Protein Ribbon Diagrams

Function Resource: NPseudoVoigt

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

Function Resource: SetDockedCells

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

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: SystemInformationInputs

Get inputs for extracting individual pieces of information about your system

Function Resource: WolframKnowledgebaseExplorer

Explore the Wolfram Knowledgebase via a graphical user interface

Function Resource: NDSolveAround

Propagate Gaussian uncertainty through NDSolve

Function Resource: FrobeniusPiecewiseDSolve

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

Function Resource: PhysicalActivityCalculator

Compute energy expenditure and other properties of various physical activities

Function Resource: GetBoxPositions

Get positions of all boxes in a notebook

Example Resource: Calculate Cocktail Alcohol Content

Visualize the alcohol content of mixed drinks

Function Resource: CubicSplineCurve

Generate a cubic B-spline curve that passes through given points

Function Resource: PersianImmortals

Simulate the self-organizing system of the Persian Immortals as described by Herodotus

Function Resource: LimitEcho

Limit the number of Echo outputs per evaluation

Function Resource: TrainingStateLayer

Create a NetGraph that returns the current NetEvalutionMode as 0 or 1

Function Resource: LLMTextualAnswer

Find textual answers via an LLM

Function Resource: SimpleCausalGraphCoordinates

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

Function Resource: ContextDependencies

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

Function Resource: PairwiseMultidimensionalScaling

Multidimensional scaling algorithm for embedding pairwise distances into a Cartesian space

Function Resource: BalabanJ

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

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: SchultzMTI

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

Function Resource: XuIndex

Compute the Xu index of an undirected graph or a molecule

Function Resource: TimeSetter

A control to set a time

Function Resource: FindImageSubset

Find an image contained within an image

Function Resource: SameResourceQ

Determine if resource objects are the same

Function Resource: GetUnboundSymbols

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

Function Resource: GenerateRelatedTopics

Generate a list of related topics from a starting topic

Function Resource: LocalResourceObjects

Get a list of locally stored resource objects

Function Resource: SetQuestionPermissions

Set permissions for a deployed QuestionObject

Function Resource: DecodeHTMLCharacterEntities

Decode HTML character entities in a string with their regular Unicode characters

Function Resource: FindBooleanAlternative

Find alternative Boolean expressions using a given set of operators

Function Resource: SampleColors

Sample colors from named color schemes

Data Resource: Sample Data: Waka Trees

Locations of trees recorded at Waka National Park, Gabon, annotated with diameter (in centimeters) marks

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

Function Resource: DihedralODE

Find the ordinary differential equation constraining periods of certain symmetrical curves

Function Resource: FractalCellularTexture

Generate Worley's cellular texture

Function Resource: FullQRDecomposition

Compute the full QR decomposition of a matrix

Function Resource: PlaneOfBestFit

Get the hyperplane that best fits a set of points

Function Resource: MexicoCOVID19Data

Import data from the Dirección General de Epidemiología website

Function Resource: NetworkXObject

Use graph algorithms from the Python package NetworkX without any Python programming

Prompt Resource: QuestionAnswerAssess

Determine the correctness of an answer to a question

Function Resource: RandomEntityQuestion

Generate a random quiz question from the Wolfram Knowledgebase

Function Resource: ToggleEcho

Globally toggle echos on and off

Prompt Resource: LLMPromptAssessment

Use an LLM to assess the quality of another LLM's response for a given prompt

Function Resource: PhysicalQuantityData

Calculate data related to physical quantities

Function Resource: DigitalCirclism

Generate circle packings covering a picture

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

Function Resource: BioMoleculeResidueFluctuations

Calculate the fluctuations of residues in a biomolecule

Function Resource: Immanant

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

Function Resource: RoundedCuboid

Represent a cuboid with rounded edges

Function Resource: VideoColorMap

Create a "color map" image from a video

Function Resource: TruthTable

Generate a truth table for a Boolean expression

Prompt Resource: ToneDown

Rewrite over-the-top text with less-exaggerated wording

Prompt Resource: CharacterList

Create a list of characters from a block of text

Prompt Resource: GradeLevelRephrase

Rephrase text to be written at the specified grade level

Prompt Resource: DefineAntonyms

Gives antonyms for words and words with an opposite meaning

Prompt Resource: InformalRephrase

Rephrase text in an informal way

Prompt Resource: FictionalNameSuggest

Suggest a name from a genre or work of fiction

Prompt Resource: HypeUp

Punch up a block of text with exciting, over-the-top wording

Prompt Resource: GlossaryGenerate

Generate a glossary for a given piece of text

Prompt Resource: LyricsSuggest

Create songs with given topics or texts based on a particular style

Prompt Resource: DomainSuggest

Generate a website domain name based on a description

Prompt Resource: TitleSuggest

Suggest a title for a given text

Prompt Resource: MovieSuggest

List movies matching a description

Prompt Resource: NarrativeToScript

Rewrite a block of prose as a screenplay or stage play

Prompt Resource: ScriptToNarrative

Generate narrative text from a formatted screenplay or stage play

Prompt Resource: ResumeToNarrative

Rewrite a resume as narrative text

Prompt Resource: NarrativeToResume

Rewrite narrative text as a resume

Prompt Resource: TriviaQuizGenerate

Question and answer generation on any topic

Prompt Resource: BizJargonize

Rewrite text to incorporate more business jargon

Prompt Resource: MedicalJargonize

Translate everyday language into medical jargon

Prompt Resource: LegalDejargonize

Rewrite text removing legal jargon

Prompt Resource: SensitivityAnalyze

Review text for sensitive content

Prompt Resource: LinkedInConvert

Rewrite text in the style of a LinkedIn post

Prompt Resource: SloganGenerate

Create a motto for a company, product, campaign, or group

Prompt Resource: Moodify

Rewrite text with a specific mood

Prompt Resource: ScientificDejargonize

Translate scientific jargon to plain language

Prompt Resource: PresentTenseRephrase

Rewrite text into the present tense

Prompt Resource: LegalJargonize

Rewrite text using legal jargon

Prompt Resource: JokeSuggest

Create a joke about based on a list of subjects

Prompt Resource: HumanNetworkConnection

Find the connection between two people

Prompt Resource: HaikuVersion

Summarize text as a haiku

Prompt Resource: GenerateRPGScenario

Create a one-shot scenario for an RPG

Prompt Resource: AbstractConvert

Convert text into an abstract

Prompt Resource: CodeCommentInsert

Add comments to code

Prompt Resource: PromptImprove

Make prompts more easily read by LLMs

Prompt Resource: GrammarReport

Generate a list of grammatical errors in a given text

Prompt Resource: OnlineAdConvert

Rewrite text to sound like an online ad

Prompt Resource: CompanyNameSuggest

Suggest a company name

Prompt Resource: FTFY

Use Fixed That For You to quickly correct spelling and grammar mistakes

Prompt Resource: AphorismConvert

Create a concise statement that presents a moral or philosophical idea based on the provided text

Prompt Resource: VerbTense

Find the tenses of verbs and verb phrases in a given text

Prompt Resource: QuizAbout

Create quiz questions based on a given text or topic

Prompt Resource: Anonymize

Replace personally identifiable information in text with placeholders

Prompt Resource: SlideDeckConvert

Convert text to a form suitable for a slide deck

Prompt Resource: SEOMetaDescription

Generate an SEO Meta description from text or URL

Prompt Resource: IndexTermsSuggest

Generate index terms based on the text provided

Prompt Resource: Disclaimerize​

Add disclaimer language to text

Prompt Resource: TweetConvert

Rewrite text to post on twitter

Prompt Resource: TranscriptionCleanUp

Remove ums, uhs, and other filler words to make sentences flow better

Prompt Resource: EmojiTranslate

Translate text into an emoji representation

Prompt Resource: PlaylistSuggest

Playlist generation for any mood

Prompt Resource: WordOrigin

Finds the etymology of a given word

Prompt Resource: SentimentAnalyze

Analyze the sentiment across a text

Prompt Resource: RandomText

Let the LLM decide what to write in order to express its creative side

Prompt Resource: FilenameSuggest

Write an easy filename to use

Prompt Resource: CallToActionSuggest

Generate a catchy CTA to grab the attention of your audience

Prompt Resource: TaglineSuggest

Generate various tag lines given a piece of text

Prompt Resource: LOCTopicSuggest

Suggest a Library of Congress topic classification for the subject matter of a piece of text

Prompt Resource: LinkSuggest

Suggest links that could be added to a piece of text

Prompt Resource: HistoricalRephrase

Rephrase text in the voice of a historical era

Prompt Resource: ConceptNameSuggest​

Suggest a name for a possible concept

Prompt Resource: Translate

Translate provided text into a specified language

Prompt Resource: GradeLevelEstimate

Estimate the grade level difficulty of a piece of text

Prompt Resource: SpeciesNameSuggest

Describe a fake animal, get a fake species name

Prompt Resource: CodeImport

Import code from other languages to Wolfram Language

Prompt Resource: HeadlineSuggest

Suggest a headline for a text

Prompt Resource: AddDetails

Fill in the details

Prompt Resource: DSolveFromText

Convert text describing a differential equation to a DSolve expression

Prompt Resource: ThemeTableJSON

Tabulates in JSON themes found in text

Prompt Resource: SummarizeContent

Summarize the contents of a file or URL

Prompt Resource: Summarize

Summarize provided text

Prompt Resource: StandardizedTestVocabularyQuiz

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

Prompt Resource: ShorterSentencesRephrase

Rephrase text with shorter sentences

Prompt Resource: ShorterRephrase

Rephrase the text in a shorter way

Prompt Resource: RecipeSuggest

Create a recipe while controlling ingredients and more

Prompt Resource: ProductNameSuggest

Create a product name

Prompt Resource: Memeify

Convert text into meme-worthy material

Prompt Resource: FormalRephrase

Rephrase text in a formal way

Prompt Resource: FacebookConvert

Rewrite text in the style of a Facebook post

Prompt Resource: Emojify

Replace key words in text with emojis

Prompt Resource: DeduplicateText

Remove duplicate words and phrases

Prompt Resource: ClickBaitTitle

Rewrite text as a clickbait style headline

Prompt Resource: ActiveVoiceRephrase

Rephrase text from passive into active voice

Prompt Resource: WordChain

Construct a sentence from a list of words

Prompt Resource: Thesaurize

Gives synonyms for words

Prompt Resource: Rephrase

Rewrite text

Prompt Resource: DocumentCompare

Compare two documents

Prompt Resource: Pitchify

Convert text into a pitch

Prompt Resource: InstagramConvert

Rewrite text in the style of an Instagram post

Prompt Resource: InvitationGenerate

Generate an invitation to an event from a description

Prompt Resource: LimerickVersion

Summarize text as a limerick

Prompt Resource: SlantReport

Detect the "slant" of a block of text

Prompt Resource: IPA

Convert text into phonetic form based on the International Phonetic Alphabet

Prompt Resource: BizDejargonize

Rewrite text to remove business jargon

Prompt Resource: CopyEdit

Edit text for grammar, spelling, punctuation and clarity

Prompt Resource: MarketingDejargonize

Rewrite by removing Marketing Jargon

Prompt Resource: MedicalDejargonize

Translate medical jargon into non-technical terms

Prompt Resource: VariableNameSuggest

Suggest a alternative name for a variable in a given block of code

Prompt Resource: ThirdPersonRephrase

Rewrite text into a third-person point of view

Prompt Resource: MarketingJargonize

Rewrite text in market-speak

Prompt Resource: PoemVersion

Rewrite text as a poem

Prompt Resource: LongerRephrase

Rephrase the text in a longer way

Prompt Resource: PassiveVoiceRephrase

Rephrase text from active into passive voice

Prompt Resource: CasualRephrase

Rephrase provided text to be more casual

Prompt Resource: CodeReformat

Reformat code so that is more human readable

Prompt Resource: BreakGrammar

Put grammatical errors into a piece of text

Prompt Resource: TLDR

One sentence summary

Prompt Resource: GradeEssay

Get a mock grade for submitted essay

Prompt Resource: PunAbout

Generates a pun given a subject matter

Prompt Resource: SEOOptimize

Find the most searched SEO keywords within any given text

Prompt Resource: ExportingNations

Find a list of countries known for a certain export

Prompt Resource: CoverLetterSuggest

Create a cover letter from job description text

Prompt Resource: ScientificJargonize

Add scientific jargon to plain text

Function Resource: LogSymmetricPolynomial

Calculate the log of an elementary symmetric polynomial

Function Resource: COVID19EpidemicData

Access COVID-19 epidemic data

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource: OrthogonalLineFit

Find the best fitting line with respect to orthogonal distance

Function Resource: Cartogram

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

Function Resource: InspectNotebook

Launch a dynamic display showing the selected notebook content

Function Resource: FejerQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Fejér quadrature

Function Resource: BezierInterpolatingControlPoints

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

Example Resource: Visualize Mutations in DNA Sequences

Function Resource: EntityClassDimensions

Produce a list with the number of entities in an entity class and the number of properties possessed by each entity therein

Function Resource: TraceView

Interactively explore execution traces

Function Resource: DPSSWindow

Generate the zero-order discrete prolate spheroidal sequence window

Function Resource: ScatteredInterpolation

Perform interpolation in n-dimensional space for irregularly spaced data

Function Resource: MoveMouse

Move the mouse cursor to a specified location

Example Resource: Animate a Map of the Fall of the Roman Empire

Function Resource: SequenceToProduct

Turn a sequence of expressions into a symbolic product

Function Resource: SequenceToSum

Turn a sequence of expressions into a symbolic sum

Function Resource: RoundedAnnulus3D

Represent a 3D annulus with rounded edges

Data Resource: Western Europe Grape Harvest

Western Europe 650 year Grape Harvest Data from 1354 to 2007

Function Resource: NestedKeyDrop

Drop keys from a nested association

Function Resource: FoodEntityCommonName

Transform a food entity to its common name

Function Resource: FindPythonExecutable

Automatically attempt to find a Python executable on the current machine

Example Resource: Distribution of Endangered Mammals

Analyze habitats of endangered mammalian species and compare with anthropogenic biomes

Function Resource: LinearSolveMod

Solve a linear system with multiple moduli

Function Resource: ClenshawCurtisQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Clenshaw-Curtis quadrature

Function Resource: FoliationClass

Generate the foliation set from a causal graph

Function Resource: ApproximatePolynomialGCD

Compute an approximate GCD to a pair of polynomials with approximate coefficients

Prompt Resource: POVSpeak

Character perspective oriented response

Example Resource: Compare Weather in Chicago and European Capitals

Find the city in the European Union with the closest temperatures to Chicago

Function Resource: DistinctCompactBinaryHuffmanCode

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

Function Resource: EchoPerformance

Print the timing and memory used to evaluate an expression

Example Resource: Terms for Food from the LanguaL International Food Thesaurus

Visualize terms for food from the LanguaL International Food Thesaurus

Example Resource: Find Kirkwood Gaps in the Asteroid Belt

Kirkwood gaps result from strong orbital resonances with Jupiter

Example Resource: Neuronal Network of a Human Brain

Compute and visualize neuronal connectivity across different brain regions

Example Resource: GC Content in Bacteria Phyla

Analyze the proportion of guanine and cytosine bases in various bacteria genomes

Function Resource: Nullity

Compute the nullity of a matrix

Function Resource: VitaminData

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

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: DateSetter

Create a control for choosing a date

Example Resource: Numeric Cyclic Voltammetry

Solve a coupled reaction model

Function Resource: CRVZSum

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

Example Resource: Analyze a Color-Based Diet

Obtain a list of foods with the same common outside color

Example Resource: PDE over a 3D Space Shuttle Region

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

Example Resource: Search for the Hilda Family of Asteroids

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

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

Example Resource: Range of Pulsar Spin Rates

Plot the rotation period versus the period derivative of pulsars

Example Resource: Analyze a Molecule's Internal Coordinates

Explore the bond lengths and torsion angles present in disaccharide maltose

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

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

Example Resource: Train an Age Estimation Network

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

Function Resource: SampleEntropy

Compute the sample entropy of a time series

Example Resource: Model Forest Fires on a Grid

Simulate a forest fire as a probabilistic cellular automaton

Example Resource: Generate Nutrition Labels by Scanning PLU Codes

Get price look-up codes from images of barcodes

Example Resource: Fokker–Planck Mass Transport Model

Example Resource: Solute Diffusion under Centrifugation

Model the Lamm equation in a sector of a disk

Example Resource: Smoluchowski Diffusion Equation

Model diffusion with a conservative mass transport equation

Example Resource: Construct Mollier Diagrams

Visualize constant pressure and constant temperature on an enthalpy vs entropy plot

Example Resource: Magnetic Potential inside an Electric Motor

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

Example Resource: Model Energy Transport Dynamics

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

Example Resource: Molecular Shape Analysis

Classify and visualize molecular shape using the principal moments of inertia

Example Resource: Visual Comparison of Human, Dog and Horse Feet

Example Resource: Transient Gray–Scott Model

Animate a solution to reaction diffusion equations over a disk

Example Resource: Transient Landau–Ginzburg Model

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

Example Resource: Build a Network of Ingredient Substitutions

Find substitutes for different ingredients and create a graph of weakly connected components

Example Resource: Visualize Rents Across a Region

Use public data to map fair market rent in the Midwest

Function Resource: MultisetDiceDissimilarity

Compute the Dice dissimilarity of two multisets

Example Resource: Build a Word Cloud of Food Groups

Create a word cloud of basic food groups inspired by the USDA's MyPlate logo

Example Resource: Dynamics of Simple Harmonic Motion in a Mass-Spring System

Explore the mass-spring system from equations to animations

Example Resource: Population Density of G10 Countries

Function Resource: PoincarePolynomial

Compute the Poincaré polynomial for a simplicial complex

Example Resource: Explore Symmetries of Crystal Systems

Get symmetry, edge and angle properties of crystal systems using the Entity framework

Example Resource: Solve a Nonlinear Model of Fluid Flow

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

Example Resource: Laser Wavelengths and Types

Access and visualize data about different lasers

Example Resource: Supported Ranges of Different Pressure-Measuring Devices

Example Resource: Galactic Structure of Star Clusters

Create a map of open and globular star clusters

Example Resource: Find the Lowest-Energy Structure Among Randomly Generated Molecular Conformations

Example Resource: Find the Heat Flow of a Dehumidifier

Calculate the heat flow of an ideal dehumidifier using psychrometric charts

Example Resource: Earthquake Frequency by Country

Map what country had the most earthquakes with a magnitude of 6 or more in 2021

Function Resource: AstroAngularDistance

Compute the angular distance between astronomical entities

Function Resource: PrintAsCellObject

Print an expression and get the corresponding CellObject

Function Resource: HyperellipticODE

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

Example Resource: Uncertainty in Physical Constants

Analyze the very different uncertainties of physical constants

Example Resource: Radius and Mass of Exoplanets

Explore the uncertainty in exoplanet mass and radius data

Example Resource: Create a Timeline of Rembrandt's Paintings

Example Resource: Helium Transitions within the Visible Spectrum

Obtain and visualize the transition in terms of the energy levels for neutral helium

Example Resource: Conformations of Cyclohexane

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

Example Resource: Torsional Potential Energy Surface of Butane

Explore the conformational energy of butane by systematically varying the torsion angle around the central carbon-carbon bond

Example Resource: Map the States with the Highest Magnitude Earthquakes

Visualize the location and magnitude of earthquakes across the United States

Example Resource: Recognize Molecules from Images

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

Example Resource: Create a Weather Map

Display local temperature icons

Example Resource: Bar Charts of Food High in Vitamin C or Iron

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: ObjectExistsQ

Check if an object exists

Data Resource: Wood-Berry Distillation Model

Wood-Berry model of a distillation column

Data Resource: Gantry Crane Model

Model of a gantry crane

Data Resource: RLC Series Model

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

Data Resource: Two-Stage Reactor Model

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

Data Resource: WinoGrande

A large-scale dataset of 44k natural language processing problems, inspired by the original Winograd Schema Challenge design

Data Resource: Toy Train Model

A model of a toy train

Data Resource: Webserver Load Model

Model of a webserver's CPU and memory loads

Data Resource: PMMA Synthesis Model

A model of a Polymethyl methacrylate (PMMA) synthesis reactor

Data Resource: Lead-Lag Op-amp Model

Model of a lead-lag controller op-amp circuit

Data Resource: Simple Pendulum Model

Model of a simple pendulum

Data Resource: Fed-Batch Reactor Model

Model of a fed-batch reactor

Data Resource: Coupled Pendulums Model

Model of two pendulums coupled by a spring

Data Resource: Lead/Lag Op-amp Model

Model of a lead or lag controller op-amp circuit

Data Resource: Proportional Op-amp Model

Model of a Proportional (P) controller op-amp circuit

Data Resource: Proportional-Derivative Op-amp Model

Model of a Proportional-Derivative (PD) controller op-amp circuit

Data Resource: Integral Op-amp Model

Model of an Integral (I) controller op-amp circuit

Data Resource: Harrier Jet Model

Model of a hovering Harrier VTOL jet

Data Resource: Flexible Joint Model

Model of a torque-driven flexible joint

Data Resource: Elastic Pendulum Model

Model of an elastic pendulum

Data Resource: Double Pendulum Model

Model of a double pendulum

Data Resource: Two-Compartment Alcohol Model

Two-compartment model of alcohol concentration in the body

Data Resource: Satellite Attitude Model

Model of a satellite's attitude dynamics

Data Resource: Ball and Beam Model

Model of a ball and beam system

Data Resource: Segway Pendulum Model

An inverted pendulum model of a Segway personal transport

Data Resource: Inverted Pendulum Model

A model of an inverted pendulum on a cart

Data Resource: PMSM Model

A model of a permanent magnet synchronous motor (PMSM)

Data Resource: Quadcopter Drone Model

Model of a quadcopter drone

Data Resource: Proportional-Integral-Derivative Op-amp Model

Model of a Proportional-Integral-Derivative (PID) controller op-amp circuit

Data Resource: Blood Glucose Model

Model of the blood glucose level in the human body

Data Resource: 2 DOF Helicopter Model

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

Data Resource: HIV Infection Model

A model of an HIV infection

Data Resource: Two-link Robot Model

A model of a two-link robot

Data Resource: Fuel Slosh Model

A model of the fluid slosh dynamics in a spacecraft

Data Resource: Rotary Pendulum Model

Model of a rotary pendulum

Data Resource: Lathe Cutting Model

Model of a lathe cutting process

Data Resource: 747 Longitudinal Model

Model of the longitudinal dynamics of a Boeing 747

Data Resource: Satellite Halo Model

Model of a satellite's motion in a halo orbit

Data Resource: Satellite Roll and Yaw Model

Model of a satellite's roll and yaw dynamics

Data Resource: Quarter-Car Suspension Model

Model of a quarter-car suspension

Data Resource: Mass-Spring-Damper Model

Model of a mass-spring-damper system

Data Resource: Submarine Longitudinal Model

Model of the longitudinal dynamics of a submarine

Data Resource: Yeast Fermentation Model

Model of a yeast fermentation process

Data Resource: 747 Lateral Model

Model of the lateral dynamics of a Boeing 747

Data Resource: Vibration Absorber Model

Model of a vibration absorber

Data Resource: Two-Compartment Pharmacokinetic Model

Two-compartment model of a pharmacokinetic process

Data Resource: Helicopter Pitch Model

Model of a helicopter's pitch dynamics

Data Resource: Tank Turret Model

Model of a tank's turret

Data Resource: Satellite Orbital Model

Model of a satellite's orbital dynamics

Data Resource: Wilberforce Pendulum Model

Model of a Wilberforce pendulum

Data Resource: Samuelson Economic Model

Samuelson economic model