Wolfram Resource System

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Paclet Resource: Wolfram/StylesheetTools

Utilities for creating and editing stylesheet notebooks

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/Patterns

Utilities for working with patterns

Paclet Resource: Wolfram/Lazy

Lazy computation

Paclet Resource: WolframExternalFunctions/GSLLink

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

Paclet Resource: WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

Paclet Resource: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

Paclet Resource: Strangeworks/Strangeworks

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

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Paclet Resource: KlausSutner/Automata

Automata theory package

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/ImageFilterAnalysis

Explore repeated application of image filters

Paclet Resource: ConnorGray/Organizer

Notebook interface application for organizing notes and to-dos

Paclet Resource: Bob/Games

A collection of games

Paclet Resource: Bob/BaseballReferenceData

Import data from baseball-reference.com

Paclet Resource: ArmandoCruz/ZeroKnowledgeProofs

Implementation of Zero Knowledge proof interactive and non-interactive protocols

Paclet Resource: AntonAntonov/VariableImportanceByClassifiers

Variables importance determination using classifiers

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Function Resource: PolynomialToBSplineCurve

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

Function Resource: CurveToBSplineFunction

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

Function Resource: CubicSplineCurve

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

Function Resource: StyledCurve

Create a B-spline curve along a color gradient using two colors

Function Resource: FullBSplineCurve

Modify a BSplineCurve object to have explicit settings for certain options

Function Resource: SplineCircle

Generate a BSplineCurve primitive representing a circle

Function Resource: RandomBSplineSurface

Generate a random surface with B-splines

Function Resource: AkimaSpline

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

Function Resource: PebbleStoneEffect

Perform a pebble stone–like effect on an image

Function Resource: ImageEngrave

Give an image an engraved appearance

Function Resource: PolynomialFitCurve

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

Function Resource: SmootherStep

An improved sigmoidal interpolation function

Function Resource: CubicSplineInterpolation

Interpolate data with a cubic spline

Function Resource: PolyharmonicSplineInterpolation

Interpolate data using polyharmonic splines

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Function Resource: Disk3D

Create a BSplineSurface primitive representing a disk

Function Resource: ApproximatedCurve

Get an approximation to a parametric curve

Function Resource: BernoulliBTree

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

Function Resource: AkimaInterpolation

Interpolation and smooth curve fitting based on local procedures

Data Resource: Kepler-11 Light Curve Data

Light curve data for planetary system Kepler-11

Function Resource: SmoothStep

A sigmoidal interpolation function

Function Resource: MortonCurve

Generate a Morton (z-order) curve

Function Resource: RadialCurve

Compute the radial curve of a given curve

Function Resource: InversionCurve

Compute the inversion of a curve

Function Resource: ParallelCurve

Compute parallel (offset) curves

Function Resource: ContrapedalCurve

Compute the contrapedal curve

Function Resource: RollingCurve

Compute a rolling curve

Function Resource: ConchoidCurve

Compute a conchoid curve

Function Resource: StrophoidCurve

Compute a strophoid curve

Function Resource: AberrancyCurve

Compute the curve of aberrancy of a plane curve

Function Resource: EvolutoidCurve

Compute the evolutoid of a curve

Function Resource: EvoluteCurve

Compute the evolute of a curve

Function Resource: PedalCurve

Compute the pedal of a curve

Function Resource: CurveAberrancy

Compute the aberrancy of a plane curve

Function Resource: AsymptoticCurves

Compute the asymptotic curves of a parameterized surface

Function Resource: CurveTube

Convert a 3D curve into a parametrized tube

Function Resource: SphericalCurve

Get curves defined over a sphere

Function Resource: CharacterCurves

Turn any character into a graphics object

Function Resource: CatacausticCurve

Compute the catacaustic of a curve

Function Resource: InvoluteCurve

Compute the involute of a curve

Function Resource: CurveIntersection

Find the points of intersection of two curves

Function Resource: CurveTorsion

Compute the torsion of a curve

Function Resource: NegativePedalCurve

Compute the negative pedal curve

Paclet Resource: JasonB/RectanglePacking

Pack smaller rectangles into a larger rectangle

Function Resource: MinkowskiSausageCurve

Generate the Minkowski sausage curve

Function Resource: RandomKochCurve

Generate a random Koch curve

Function Resource: GraphicsPrimitiveQ

Test if a piece of a graphic is a graphics primitive

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Function Resource: PolarCurveIdentifier

Identify which polar curves are associated with the given equations

Function Resource: KochCurvePoints

Compute the points that form a generalized Koch curve

Function Resource: PursuitCurvePlot

Plot a predator-prey pursuit curve

Function Resource: CurveAnalysis

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

Function Resource: AreaBetweenCurves

Find the area between two plane curves

Function Resource: RoseCurveProperties

Compute the properties of a specified rose curve

Function Resource: LevyCCurve

Generate the Lévy C curve

Function Resource: ExponentialSmoothStep

Evaluate a smooth step function based on exponentials

Function Resource: RoseCurveAnalysis

An interactive plot for the areas inside the rose curve

Data Resource: Cunningham Number Factorizations

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

Function Resource: InfiniteCatacausticCurve

Compute the catacaustic of a curve at infinity

Function Resource: CatacausticCurvePlot

Plot the catacaustic of a curve

Function Resource: CurveFitReport

Display information related to fitting of a set of data

Function Resource: CurveFitOverview

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

Function Resource: BezierChain

Create a chain of Bézier curves that smoothly connects a list of points

Function Resource: CurvedSpacetimeTriangulation

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

Function Resource: AAVSOLightCurveData

Import astronomical light curve data from the AAVSO International Database

Function Resource: AreaBetweenCurvesIntegral

Compute the integral describing the area between two plane curves

Function Resource: MonotonicInterpolation

Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data

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: CurvedSpacetimeSprinkling

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

Function Resource: Intrinsic3DCurve

Plot intrinsic curves in 3D

Function Resource: CurvedSpacetimeRegionSprinkling

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

Function Resource: IntrinsicCurvedManifoldToGraph

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

Function Resource: ExtrinsicCurvedManifoldToGraph

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

Function Resource: ASSTriangles

Create a list of all triangles with side lengths a and b and angle β opposite the side with length b

Function Resource: NinePointCubic

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

Function Resource: QuadraticRegressionDataQuiz

Generate an interactive quiz on matching data to a quadratic regression curve

Function Resource: ExponentialRegressionDataQuiz

Generate an interactive quiz for matching data to an exponential regression curve

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

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

Data Resource: Medicare Drug Spending

Detailed data on prescription drugs for Medicare Part B and Part D

Function Resource: LinearRegressionDataQuiz

Generate an interactive quiz on matching data to a regression line

Function Resource: LeeInterpolatingNodes

Generate interpolating nodes from points on a curve

Function Resource: TangentAndNormalLine

Compute properties of the tangent and normal lines to a curve at a given point

Function Resource: PositionsByFirstAppearance

Replace elements with their position of first appearance when flattened

Function Resource: DirectionParametricPlot

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

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

Represent words and images as vectors

Function Resource: Orthotomic

Compute the orthotomic of a curve

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

Represent words and images as vectors

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

Represent words as contextual word-embedding vectors

Example Resource: Train a Classifier on the UCILetter Dataset

Function Resource: DarbouxVector

Compute the Darboux vector field of a curve

Function Resource: PointGroupSymbol

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

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

Represent words and images as vectors

Function Resource: CurvaturePlot

Plot a curve defined by its curvature

Function Resource: CurvatureTorsionPlot3D

Plot a curve defined by its curvature and torsion

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: UpSetChart

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

Function Resource: InvertAtom

Invert the geometry of selected atoms in a molecule

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: SymmetricSort

Symmetrically reorder the rows and columns of a square matrix

Function Resource: FileNameWithDate

Add a date stamp to a file name or replace an existing one

Function Resource: AnnotatedExpression

Represent an expression in an unevaluated form with a callout annotation

Function Resource: RotateBonds3D

Interactively manipulate the conformation of a flexible molecule and paste results along the way

Function Resource: InversionSurface

Compute the inversion surface

Function Resource: EpicyclePlot

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

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

Represent words as vectors

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

Represent words as vectors

Function Resource: TwistedSurface

Generate a surface twisting a curve

Function Resource: RadiusOfAberrancy

Compute the radius of aberrancy of a plane curve

Function Resource: GeneralizedHelicoid

Compute the generalized helicoid of a curve

Example Resource: Stirling Cycle with Real-World Materials

Explore the properties of a Stirling cycle, from expansion curves to efficiency

Function Resource: NaturalEquations

Compute the natural equations of a curve

Function Resource: TangentLine

Compute properties of the tangent line to a curve at a given point

Example Resource: RMS Amplitude of Audio Signals

Compute and visualize local measurements of audio signals

Function Resource: Intercepts

Compute the intercepts of a function with the coordinate axes

Data Resource: Alfred Gray's Surfaces Properties

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

Function Resource: CesaroEquation

Compute the Cesàro equation for a planar curve

Function Resource: OsculatingParabola

Get the osculating parabola of a plane curve

Function Resource: OsculatingConic

Get the osculating conic of a plane curve

Paclet Resource: JanM/Dixon

The Dixon elliptic functions in Mathematica

Function Resource: Curvature

Compute the curvature of a curve

Function Resource: FunctionCusps

Find the cusps of a curve

Function Resource: FunctionCorners

Find the corners of a curve

Function Resource: WiggleLine

Make a line that wiggles

Function Resource: ConfusionMatrixTrajectoryFunction

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

Function Resource: NormalLine

Compute properties of the normal line to a curve at a given point

Function Resource: DihedralODE

Find the ordinary differential equation constraining periods of certain symmetrical curves

Function Resource: Bjorling

Compute the Björling formula

Function Resource: PedalSurface

Compute a pedal surface

Function Resource: MonotonicFunctionQ

Check if a function is monotonic

Function Resource: PerpendicularSurface

Compute the perpendicular surface of a curve

Function Resource: ImplicitCurvature

Compute the implicit curvature of a curve

Function Resource: StrictlyMonotonicFunctionQ

Check if a function is strictly monotonic

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: TangentialAngle

Compute the tangential angle of a curve

Function Resource: NormalSurface

Compute the normal surface of a curve

Function Resource: NormalVector

Compute the normal vector of a curve

Function Resource: BinormalSurface

Compute the binormal surface to a curve

Function Resource: BinormalVector

Compute the binormal vector of a curve

Function Resource: RegularPolygonAngleRadius

Compute the polar radius of a regular polygon

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

Function Resource: TangentVector

Compute the tangent vector of a curve

Function Resource: OsculatingCircle

Get the osculating circle of a curve

Function Resource: BezierInterpolatingControlPoints

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

Function Resource: TranslationSurface

Compute a translation surface parametrization

Function Resource: MultisetSokalSneathDissimilarity

Compute the Sokal-Sneath dissimilarity of two multisets

Function Resource: LeastSquaresPlot

Plot data together with a visualization of the squared errors compared to a fit

Function Resource: RuledSurfacePlot

Plot a ruled surface

Function Resource: InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

Function Resource: FunctionMonotonicity

Compute the regions on which an expression is monotonic

Function Resource: MultisetSum

Perform the sum operation on multisets

Function Resource: MultisetInclusionQ

Test whether or not one multiset is included in another multiset

Function Resource: MultisetProduct

Perform the product operation on multisets

Function Resource: MultisetJaccardDissimilarity

Compute the Jaccard dissimilarity of two multisets

Function Resource: MultisetCardinality

Determine the cardinality for a multiset

Function Resource: MultisetComplement

Perform the complement operation on multisets

Function Resource: MultisetUnion

Perform the union operation on multisets

Function Resource: MultisetIntersection

Perform the intersection operation on multisets

Function Resource: MultisetDiceDissimilarity

Compute the Dice dissimilarity of two multisets

Function Resource: MultisetSupport

Determine the support for a multiset

Function Resource: NormalCurvature

Compute the normal curvature of a curve on a surface

Data Resource: Selected CIE Colorimetric Tables

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

Function Resource: WhewellEquation

Compute the Whewell equation for a plane curve

Function Resource: OsculatingPlane

Compute the osculating plane of a space curve

Function Resource: TangentDevelopableSurface

Compute the tangent developable surface of a curve

Function Resource: RectifyingPlane

Compute the rectifying plane of a space curve

Function Resource: NormalPlane

Compute the normal plane of a space curve

Function Resource: TotalSignedCurvature

Compute the total signed curvature of a curve

Data Resource: Alfred Gray's Surfaces Plots

Plots of Alfred Gray’s Surfaces collection

Function Resource: LucasCubic

Get the Lucas cubic curve of a triangle

Function Resource: FrenetSerretPlot

Plot the Frenet–Serret frame of a curve

Function Resource: ArcLine

A curved line between two points

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: SeaShellSurface

Get the parametrization of a seashell surface

Function Resource: GeoHash

Geohash encoding and decoding

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: MatrixFieldOfValues

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

Function Resource: Asymptotes

Compute the asymptotes to a given curve in two dimensions

Function Resource: IntersectionPlot

Plot two curves and highlight their points of intersection

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: FractionalBrownianMotion2D

Generate a fractional Brownian surface

Function Resource: OsculatingCircleProperties

Compute the defining properties of the osculating circle for a curve at a point

Function Resource: ParameterizePolygon

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

Function Resource: TransfiniteInterpolation

Transfinite interpolation of functions representing boundary curves of a surface

Function Resource: HyperellipticODE

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

Function Resource: SecantLine

Compute properties of the secant line to a curve between two points

Function Resource: LassoPoints

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

Function Resource: ManipulateParametricPlot

Produce a dynamic interface for a curve being traced out by the tip of a vector

Function Resource: DirectionParametricPlot3D

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

Function Resource: RationalSmoothStep

A sigmoidal interpolating rational function

Function Resource: GeneralizedSmoothStep

A generalized sigmoidal interpolating polynomial

Function Resource: ManipulateParametricPlot3D

Create a dynamic interface for a three-dimensional curve being traced out by the tip of the vector

Function Resource: ReverseMidpointPolygon

Create a polygon from a list of midpoints

Function Resource: TopolyFunction

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

Data Resource: Cell Ontology Network

Network of ontology for cell types

Data Resource: Wikipedia Voting Network

Wikipedia who-votes-on-whom network

Data Resource: MathGroup Emails Network

Network of emails sent to the MathGroup list in November 2011

Data Resource: Second DIMACS P-Hat Graph 8

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 9

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 7

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 3

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 14

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 5

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 4

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 11

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 13

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 1

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 12

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 6

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 15

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 10

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Eurovision Votes Network

Network of votes in the Eurovision song contest

Function Resource: SphericalCap

Represent a spherical cap in 3D graphics

Function Resource: ApproximatedSurface

Approximate a parametric surface with different graphics primitives

Data Resource: Infectious Diseases by Country 2009-2014

Number of reported, suspected and reported, and/or newly reported cases to the World Health Organization of selected contagious or infectious diseases like mumps and rubella by country from 2009 to 2014.

Function Resource: BlockDiagonalMatrix

Create a block-diagonal matrix from submatrices

Function Resource: QuantileRegression

Compute quantile regression fits over a time series, a list of numbers or a list of numeric pairs

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

Function Resource: RandomScribble

Make a random scribble graphic

Function Resource: StandardOrderFromIndex

Get the standard ordering of the desired index

Data Resource: Sample Data: Loblolly Tree Growth

Loblolly pine tree growth measurement

Function Resource: RandomMandala

Make random mandala plots

Function Resource: Biarc

Generate a biarc through two points

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

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

Function Resource: ConicProperties

Get an association of the properties of a conic section

Neural Net Resource: EfficientNet Trained on ImageNet

Identify the main object in an image

Neural Net Resource: Stable Diffusion V1

Generate photorealistic images

Function Resource: StandardOrderIndex

Get the index of a list of integers in standard order

Function Resource: HyperbolicPoincarePolygon

Represent a hyperbolic polygon embedded in the Poincaré disk

Function Resource: HyperbolicPoincareLine

Represent a hyperbolic line segment or polyline embedded in the Poincaré disk

Function Resource: MathieuEllipticSin

Evaluate the sine-elliptic Mathieu function

Function Resource: ImageShapeMorph

Morph an image from one shape into another

Function Resource: RandomRorschach

Generate random Rorschach tests

Function Resource: FubiniNumber

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

Example Resource: Smooth the Boundary of a Region

Use the curvature flow image filter to smooth the boundary of a snowflake

Data Resource: Collisionless Periodic Orbits in the Free-fall Three-body Problem

The 315 Collisionless Periodic Orbits in the Free-fall Three-body Problem

Function Resource: ParabolaProperties

Get an association of the properties of the given parabola

Data Resource: Davis Southern Women Social Network

The network of a Southern women social club

Function Resource: FrobeniusPiecewiseDSolveFormula

An auxiliary function for the resource function FrobeniusPiecewiseDSolve

Data Resource: Timeline of Systematic Data & Computable Knowledge

Dataset of nearly 200 notable events in the history of computable knowledge

Data Resource: Sample Data: Employee Attitude Survey

Employee attitude data for 30 departments in a large financial organization

Data Resource: Sample Data: Ozarks Karst

Locations of springs and sinkholes in the Ozark Plateaus Physiographic Province (Ozarks) in Arkansas

Function Resource: KSetPartitions

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

Function Resource: SetPartitions

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

Function Resource: SolutionRulesToFunctions

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

Function Resource: FullSimplifyFunction

Convert a pure function into a simpler form

Data Resource: Sample Data: Swiss Bank Notes

Six measurements made on 100 genuine Swiss bank notes and 100 counterfeit ones.

Function Resource: MolecularComplexity

Compute the molecular complexity of a given molecule

Data Resource: Sample Data: Beta Cells

Locations of retinal ganglia cells annotated with on/off and area (in square microns) marks

Data Resource: Sample Data: Redwood Saplings

Locations of redwood saplings (young slender trees), annotated with binary indicator

Function Resource: TheilSenLine

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

Data Resource: Sample Data: Swedish Pines

Locations of pine trees without annotations

Data Resource: Sample Data: Biological Cells

Locations of biological cells

Function Resource: BootstrappedEstimate

Perform bootstrapping of an estimator on some data

Data Resource: Two-Compartment Pharmacokinetic Model

Two-compartment model of a pharmacokinetic process

Function Resource: QuadratureWeightsToJacobiMatrix

Recover a Jacobi matrix from a list of abscissa-weight pairs

Function Resource: ReactomePathways

Get pathways and additional information from the Reactome database

Function Resource: CombinatorTraditionalForm

Display a combinator expression in a default styled form

Function Resource: Sumset

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

Function Resource: EpsteinHubbellOmega

Evaluate the Epstein–Hubbell integral

Neural Net Resource: Inception V1 Trained on Places365 Data

Identify the scene type of an image

Function Resource: NewtonCotesWeights

Get the abscissa-weight pairs of the elementary Newton-Cotes formula

Function Resource: NewtonCotesError

Find the error in the Newton–Cotes quadrature formula

Function Resource: ChebyshevQuadratureAbscissas

Get a numerically sorted list of abscissas for Chebyshev equal-weight quadrature

Function Resource: EllipseFit

Fit an ellipse to a list of 2D points

Function Resource: PrincipalCurvatures

Compute the principal curvatures of a surface

Function Resource: MeanCurvature

Compute the mean curvature of a surface

Neural Net Resource: BPEmb Subword Embeddings Trained on Wikipedia Data

Represent words or subwords as vectors

Function Resource: OrthogonalPolynomialDividedDifference

Evaluate the divided difference of a finite orthogonal polynomial series

Function Resource: XuIndex

Compute the Xu index of an undirected graph or a molecule

Data Resource: Sample Data: GAG Urine Levels

Level of GAG in urine of children

Data Resource: New Orleans Slave Sales 1856-1861

Slave sales recorded by the New Orleans register of conveyance, October 1856 to August 1861

Data Resource: Sample Data: Australian AIDS

Data on patients diagnosed with AIDS in Australia before July 1, 1991

Function Resource: BusyBoxesAutomaton

Implementation of the Busy Boxes 3D reversible cellular automaton

Function Resource: TakagiDecomposition

Compute the Takagi decomposition of a complex-symmetric matrix

Function Resource: CombinatorConvert

Convert between different combinator formats

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

Function Resource: PolygonNormalVector

Compute the normal vector to a 3D polygon

Function Resource: PigpenCipher

Encipher a string using the pigpen cipher

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

Function Resource: MissingDataLogLikelihood

Compute a log-likelihood for data with missing values

Function Resource: RadialDistributionFunctionList

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

Data Resource: MycoDB

Data on plant response to mycorrhizal fungi

Function Resource: StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

Function Resource: BrioschiCurvature

Compute the Gaussian curvature for a metric

Function Resource: Cyclide

Compute expressions for Dupin cyclide surfaces

Function Resource: WeingartenMatrix

Compute the Weingarten matrix of a surface

Data Resource: Sample Data: North Derbyshire Asthma

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

Data Resource: Double Pendulum Model

Model of a double pendulum

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

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

Example Resource: Ecological Alpha Diversity

Compute common measures of ecological α-diversity on a dataset of species abundance by site

Function Resource: FaddeevaW

Evaluate the Faddeeva function

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Function Resource: WelchTest

Compare the means of two observational samples using the Welch test

Data Resource: Satellite Halo Model

Model of a satellite's motion in a halo orbit

Function Resource: MetropolisHastingsSequence

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

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

Identify the main object in an image

Function Resource: VariableSectionTube

Compute the parametrization of a tube of variable section

Function Resource: FirstFundamentalFormCoefficients

Compute the coefficients of the first fundamental form of a surface

Function Resource: ShapeOperator

Compute the shape operator on a surface

Function Resource: AreaElement

Compute the area element for a surface

Function Resource: GaussianCurvature

Compute the Gaussian curvature of a surface

Function Resource: UnitNormal

Compute the unit normal of a surface

Function Resource: SecondFundamentalFormCoefficients

Compute the coefficients of the second fundamental form

Function Resource: DirectionalD

Compute the directional derivative of a function

Function Resource: EnneperWeierstrass

Compute the Enneper-Weierstrass parametrization

Function Resource: ParametricSurfaceTangentPlane

Compute the tangent plane of a parametric surface

Function Resource: ParallelSurface

Compute the parallel surface of a surface

Function Resource: MovingOrthonormalFrame

Compute the moving orthonormal frame of a surface

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

Count the number of prominent items in an image

Example Resource: Molecular Gears

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

Data Resource: Two-Stage Reactor Model

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

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: JobackEstimate

Estimate physical properties of chemicals using Joback fragmentation

Function Resource: EfronBiasedCoin

Generate a restricted randomization between two groups, with a bias towards maintaining approximately equal allocation

Data Resource: Human Disease Network

A network of human diseases linked by known disorder-gene associations

Data Resource: Disease Gene Network

A network of disease genes linked by known disorder-gene associations

Data Resource: Bipartite Diseasome Network

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

Function Resource: ImportWavefrontRFL

Import a Wavefront RFL file

Function Resource: Geodesic

Compute the geodesics for a parametrized surface

Function Resource: FocalSet

Compute the focal set of a surface

Data Resource: Sample Data: Wheat Yield

Locations of wheat yield uniformly sampled on a 25x20 lattice annotated with yield marks

Data Resource: Vibration Absorber Model

Model of a vibration absorber

Function Resource: SkyViewImage

Get images from SkyView

Function Resource: SCombinatorHaltsQ

Test whether evolution of an S combinator expression will halt

Function Resource: EllipticRationalR

Evaluate the elliptic rational function

Data Resource: Blood Glucose Model

Model of the blood glucose level in the human body

Data Resource: Yeast Fermentation Model

Model of a yeast fermentation process

Function Resource: LogSymmetricPolynomial

Calculate the log of an elementary symmetric polynomial

Function Resource: MatrixGeometricMean

Compute the geometric mean of two matrices

Function Resource: BiasedRescale

Bias a value in the unit interval either lower or higher

Function Resource: NonMaximumSuppression

Filter regions based on their overlap

Function Resource: CanalSurface

Compute the parametrization of a canal surface

Data Resource: Sample Tabular Data: Fuel Economy

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

Function Resource: GainRescale

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

Paclet Resource: AntonAntonov/NLPTemplateEngine

Code generation by filling in templates using NLP techniques

Data Resource: FER-2013

The Facial Expression Recognition 2013 (FER-2013) Dataset

Function Resource: TurboColor

Implementation of the Turbo color map

Function Resource: NearestKroneckerProductSum

Approximate a numerical matrix as sum of Kronecker products

Data Resource: Global Landslide Catalog

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

Function Resource: DAVIDGeneEnrichmentAnalysis

Retrieve a functional enrichment analysis on a gene list from the DAVID genetic website

Data Resource: Sample Data: Bronze Gradient Filter

Locations of bronze particles in a gradient filter annotated with radii (in millimeters) marks

Data Resource: Sample Data: Amacrine Cells

Locations of amacrine cells (inhibitory interneurons in the retina) annotated with on/off marks

Data Resource: Sample Data: Childhood Leukaemia Lymphoma

Locations of childhood leukaemia and lymphoma annotated with case/control marks

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Neural Net Resource: EfficientNet Trained on ImageNet with RandAugment

Identify the main object in an image

Neural Net Resource: EfficientNet Trained on ImageNet with AutoAugment

Identify the main object in an image

Data Resource: Structure of Euclid's Elements

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

Neural Net Resource: VGGish Feature Extractor Trained on YouTube Data

Represent sounds as a sequence of vectors

Function Resource: SphericalLinearInterpolation

Evaluate the piecewise spherical linear interpolant of given data

Function Resource: GeneralizedAkimaInterpolation

Interpolate data using Akima's method or modifications of it

Data Resource: Sample Tabular Data: Diamonds

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

Function Resource: TuckerDecomposition

Compute the Tucker decomposition of a tensor

Function Resource: MannKendallZ

Compute the z-statistic for the Mann-Kendall test

Function Resource: OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

Function Resource: IntegrateRational

Compute the indefinite integral of a rational function

Function Resource: CPDecomposition

Compute the canonical polyadic (CP) decomposition of a tensor

Paclet Resource: AntonAntonov/DSLTranslation

Translation of natural language commands to code

Function Resource: AxisAngle

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

Function Resource: PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

Data Resource: Sample Data: Sea Anemones

Locations of sea anemones (marine predatory animals, often quite colourful), annotated with diameter marks

Function Resource: NSolveByMonodromy

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

Function Resource: RicciScalar

Compute the Ricci scalar for a metric

Function Resource: RicciCurvature

Compute the components of the Ricci curvature for a metric

Function Resource: TakagiT

Evaluate the Takagi function

Data Resource: DW-NOMINATE for US Congress

Data on political ideology derived from roll-call voting behavior in the US Congress

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Function Resource: AcentricFactor

Estimate the acentric factor of a substance

Data Resource: Star Clusters

A catalog of star clusters in the Milky Way

Data Resource: Sample Data: Airplane Glass

Time to failure for airplane glass

Data Resource: Sample Data: Abalone Measurements

Predict the age of abalone from physical measurements

Function Resource: ZolotarevZ

Evaluate the Zolotarev polynomial

Function Resource: MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: PaduaInterpolation

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

Function Resource: PaduaPoints

Generate Padua points for bivariate interpolation and cubature

Function Resource: PaduaIntegrate

Numerically integrate a function using the Padua points

Data Resource: Sample Data: Breakdown Spots R423

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

Data Resource: Sample Data: Breakdown Spots R282

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

Data Resource: Sample Data: Breakdown Spots R169

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

Function Resource: ResistanceMatrix

Get the resistance matrix of a graph

Function Resource: EllipticExpand

Expand elliptic functions in an expression

Function Resource: ChiSquareMarkovChainStatistics

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

Paclet Resource: RobertNachbar/ConsistentForceField

Ermer-Lifson CFF for alkanes, alkenes, and alkylbenzenes

Paclet Resource: AntonAntonov/SoftwareDesignMethodsWithWLBook

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

Data Resource: Sample Data: Yellowstone Geothermal Features

Locations of some geothermal features and geysers in Yellowstone National Park

Function Resource: HorizonsEphemerisData

Import ephemeris data from the Jet Propulsion Laboratory Horizons System

Data Resource: Sample Tabular Data: US Wind Turbines

Data on 75,633 wind turbines covering 45 US states plus Guam and Puerto Rico

Function Resource: IntegrateAlgebraic

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

Function Resource: EpidemicModel

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

Function Resource: FromNumberExpansion

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

Function Resource: BLASTSearch

Analyze biological sequence similarity using Basic Local Alignment Search Tool

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: CalkinWilfTree

Generate a complete binary tree of positive fractions

Function Resource: SternBrocotTree

Generate a complete binary search tree of positive fractions

Function Resource: DVectorField

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

Data Resource: Anthropogenic Biome

Illustrating anthropogenic biomes of the world