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/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: WolframExternalFunctions/GSLLink

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

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: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource: TheRealCStover/Trigonometry

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

Paclet Resource: Strangeworks/Strangeworks

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

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RohanMehta/OpenChemicalSystems

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Paclet Resource: PeterBurbery/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

Paclet Resource: Obando/CAGenetics

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

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: JanM/Dixon

The Dixon elliptic functions in Mathematica

Paclet Resource: JaneShenGunther/TCGADataTool

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

Paclet Resource: FaizonZaman/LexicalCases

Extract lexical patterns from text

Paclet Resource: DanielS/Wireworld

Explore the Wireworld Turing-complete cellular automaton

Paclet Resource: Bob/BaseballReferenceData

Import data from baseball-reference.com

Paclet Resource: AntonAntonov/TileStats

Tilling over 2D data and related statistics

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/OutlierIdentifiers

Outlier identifier functions

Paclet Resource: AntonAntonov/MonadMakers

Functions for making software monads

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Function Resource: RotatedEllipseMatrix

Create a binary matrix with a rotated, ellipse-shaped region of 1s

Function Resource: PairwiseScatterPlot

Construct a scatter plot matrix

Data Resource: Alfred Gray's Surfaces Plots

Plots of Alfred Gray’s Surfaces collection

Example Resource: Confusion Matrix of a Classifier

Classify the land surface in a satellite image

Example Resource: Plotting Moon Phases

Find and plot the phase of the Moon for specific dates

Function Resource: EigenvectorPlot

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

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

Function Resource: MatrixPolynomial

Evaluate a matrix polynomial

Function Resource: DiagonalizeMatrix

Get the diagonalized matrix of a given matrix

Function Resource: MandelbrotMatrix

Construct a matrix whose eigenvalues lie on the Mandelbrot set boundary

Function Resource: MercerMatrix

Generate a Mercer matrix

Function Resource: AntidiagonalMatrix

Creates an antidiagonal matrix by given the antidiagonal

Function Resource: CirculantMatrix

Construct a circulant matrix from a vector

Function Resource: ResistanceMatrix

Get the resistance matrix of a graph

Function Resource: RandomMatrix

Get a pseudorandom matrix of a given kind, type and size

Function Resource: CofactorMatrix

Give the matrix of cofactors for a given input matrix

Function Resource: FiedlerMatrix

Construct a Fiedler matrix from a vector

Function Resource: KrawtchoukMatrix

Generate a Krawtchouk matrix

Function Resource: MatrixSign

Evaluate the matrix sign function

Function Resource: MatrixNorm

Estimate the Hölder p-norm of a numerical matrix

Function Resource: HartleyMatrix

Generate a Hartley matrix

Function Resource: SylvesterMatrix

Generate the Sylvester matrix of two univariate polynomials

Function Resource: CarlemanMatrix

Evaluate the Carleman matrix of a function

Function Resource: CommutationMatrix

Generate a commutation matrix

Function Resource: BezoutMatrix

Generate the Bézout matrix of two univariate polynomials

Function Resource: CompanionMatrix

Compute the Frobenius companion matrix of a polynomial

Function Resource: ComradeMatrix

Generate the comrade matrix corresponding to an orthogonal polynomial series

Paclet Resource: LukasLang/PlotGridDoc

Extra examples for the resource function PlotGrid

Function Resource: AugmentedMatrix

Get the augmented matrix of the system of linear equations

Function Resource: SzegedMatrix

Compute the Szeged matrix of an undirected graph or a molecule

Function Resource: SchurMatrix

Generate the Schur matrix of a univariate polynomial

Function Resource: HurwitzMatrix

Generate the Hurwitz matrix of a univariate polynomial

Function Resource: CenteringMatrix

Generate an n-sized centering matrix

Function Resource: WeingartenMatrix

Compute the Weingarten matrix of a surface

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

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource: SuggestPlotRange

Get a variable range against which to plot a given function

Function Resource: JacobiMatrix

Generate the Jacobi matrix corresponding to an orthogonal polynomial

Function Resource: CoefficientMatrix

Returns the coefficient matrix of a system of equations

Function Resource: UnitMatrix

Get a matrix with a 1 in a selected position and 0s elsewhere

Function Resource: UlamMatrix

Generate the Ulam matrix

Function Resource: WignerMatrix

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

Function Resource: JacobianMatrix

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

Function Resource: HessianMatrix

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

Function Resource: EnhancedPlot

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

Function Resource: TridiagonalCompanionMatrix

Generate the tridiagonal companion matrix of a univariate polynomial

Function Resource: SuiteSparseMatrix

Import a sparse matrix from the SuiteSparse matrix collection

Function Resource: GeneralizedFiedlerMatrix

Generate the generalized Fiedler companion matrix of a univariate polynomial

Function Resource: HypergraphAdjacencyMatrix

Find the adjacency matrix for vertices in a hypergraph

Function Resource: RotationMatrixToQuaternion

Convert a rotation matrix to an equivalent unit quaternion

Function Resource: QuaternionToRotationMatrix

Convert a unit quaternion to an equivalent rotation matrix

Function Resource: DiracMatrix

Evaluate Dirac matrices in any dimension

Function Resource: MatrixFormDivided

Add row and column dividing lines to MatrixForm

Function Resource: BlockDiagonalMatrix

Create a block-diagonal matrix from submatrices

Function Resource: GraphPathMatrix

Find the path matrix of a graph

Function Resource: ComputeMatrixFunction

Compute a function of a square matrix

Function Resource: RandomUnimodularMatrix

Return a pseudorandom unimodular matrix

Example Resource: Feature Space Plot of Animal Sounds

Function Resource: CayleyMengerMatrix

Evaluate the Cayley-Menger matrix of a simplex

Paclet Resource: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Function Resource: MatrixPartialTrace

Calculate a partial trace of a matrix

Function Resource: MatrixFieldOfValues

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

Function Resource: NewtonCompanionMatrix

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

Function Resource: ManipulatePlot

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

Function Resource: PlotVector

Plot a list of vectors in the plane

Function Resource: MatrixMinimalPolynomial

Compute the minimal polynomial of a square matrix

Function Resource: IntersectionPlot

Plot two curves and highlight their points of intersection

Function Resource: InteractiveConicPlot

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

Function Resource: HypergraphPlot

Plot a hypergraph defined by a list of hyperedges

Function Resource: DotPlot

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

Function Resource: KeywordPlot

Plot the density of keywords in a piece of text

Paclet Resource: WallGo/WallGoMatrix

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

Function Resource: RayTransferMatrix

Calculate the ray transfer matrix of a Gaussian optical system

Function Resource: CombinePlots

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

Function Resource: BenchmarkPlot

Plot the timings of a benchmark

Function Resource: MatrixGeometricMean

Compute the geometric mean of two matrices

Function Resource: CurvaturePlot

Plot a curve defined by its curvature

Function Resource: PlotGrid

Create stacked plots and other advanced grid layouts of plots

Function Resource: MarginalPlot

Plot 2D data together with visualizations of the marginal distributions

Function Resource: TreemapPlot

Plot a nested list of values as a treemap

Function Resource: AntidiagonalMatrixQ

Tests whether a matrix is an antidiagonal matrix

Function Resource: MatrixPencilSolve

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

Function Resource: MilkyWayPlot3D

Plot the position of astronomical objects within or near the Milky Way galaxy

Function Resource: RecurrencePlot

Visualize the recurrence of a single discrete time series on a lattice

Function Resource: PolarBubblePlot

Plot data as bubbles on polar axes

Function Resource: FunctionPeriodPlot

Plot a given number of periods of a periodic function

Function Resource: SimpleHypergraphPlot

Plot a hypergraph defined by a list of hyperedges and isolated vertices

Function Resource: GaussianQuadratureMatrix

Symmetric tridiagonal matrix for Gaussian quadrature

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Function Resource: ConfusionMatrixFlip

Alter a confusion matrix by stochastically flipping classification results

Function Resource: RandomSparseSPDMatrix

Create a random sparse symmetric positive definite matrix

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Function Resource: LabelListPlot

Plot the occurrences of labels in a list

Function Resource: VennGraphPlot

Visualize the intersections of overlapping sets

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Function Resource: PolygonMarker

Create markers carefully designed for the creation of publication-quality plots

Function Resource: TessellationPlot

Generate a tessellation of the plane with specified cell shapes

Function Resource: CobwebPlot

Visualize one-dimensional iterated functions

Function Resource: ConsistentAugmentedMatrixQ

Determine if a matrix represents a consistent system of linear equations

Function Resource: PlotClusters

Cluster and plot two-dimensional points

Function Resource: PolyominoPlot

Represent an array as polyomino regions

Function Resource: InequalityPlot

Plot a set of inequalities distinguishing between different regions

Function Resource: DragZoomPlot

A version of Plot which allows you to zoom into the plot using the mouse

Function Resource: QuadratureWeightsToJacobiMatrix

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

Function Resource: DensityMatrixToStateMultipole

Represent matrix elements via density state multipoles (statistical tensors)

Function Resource: StateMultipoleToDensityMatrix

Represent state multipoles (statistical tensors) via density matrix elements

Function Resource: PolarDendrogramPlot

Plot a polar dendrogram of a clustering

Function Resource: EpicyclePlot

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

Function Resource: ConicSectionPlot

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

Function Resource: AnalemmaPlot

Plot the trajectory of the azimuth and altitude of the solar position over a year

Function Resource: ButcherPlot

Plot order condition trees for Runge-Kutta method

Function Resource: InsideOutsidePlot

Make an inside-outside plot of a function

Function Resource: DottedArrayPlot

Plot an array of values, with dots at specified positions

Function Resource: BioSequenceFoldingMatrix

Build a matrix containing which biomolecular sequence positions can bond

Function Resource: CrossRecurrencePlot

Visualize the overlap of two discrete time series

Function Resource: WeatherRegionPlot

Produce plots of weather properties over a geographic region

Function Resource: SectorTreePlot

Plot tree data in stacked angular sectors

Function Resource: FittedModelPlot

Plot fitted models together with their raw data

Function Resource: CharacterArrayPlot

Decorate an ArrayPlot with additional characters

Function Resource: FoodCompassPlot

Create a nutrition plot for a given food

Function Resource: OrthogonalPolynomialVandermondeMatrix

Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector

Function Resource: DiscreteHilbertTransformMatrix

Generate a matrix that arises in the computation of the discrete Hilbert transform

Function Resource: CombinatorPlot

Visualize a static combinator expression

Function Resource: DiscreteIntegralPlot

Plot and find the area of a region determined by a list of points, the x axis and the type of boundary

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: ParallelCoordinatesPlot

Plots high-dimensional datasets across parallel axes

Function Resource: NFAPlot

Plot a nondeterministic finite automaton

Function Resource: SaundersDigitPlot

Make a Saunders plot of a function

Function Resource: SmilesPlot

Visualize a SMILES string together with the molecule it represents

Function Resource: BiPlot

Visualize the principal components of tabular data

Function Resource: ListGrowthPlot

Plot the growth of lists and temporal data

Function Resource: DirectionParametricPlot

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

Function Resource: AndrewsPlot

Visualize multivariate data by projecting them on a Fourier basis

Function Resource: ComplexBubblePlot

Visualize a complex function as an array of bubbles

Function Resource: LinearDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of linear functions

Function Resource: CubicDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of cubic functions

Function Resource: QuadraticDescriptionPlotQuiz

Generate an interactive graphical quiz on the plotting of quadratic functions

Function Resource: ConfusionMatrixTrajectoryFunction

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

Function Resource: DirectionParametricPlot3D

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

Function Resource: ManipulateParametricPlot

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

Function Resource: ConfusionMatrixToClassifierMeasurementsObject

Convert a confusion matrix into a ClassifierMeasurementsObject from which statistics can be derived

Function Resource: SectionParametricPlot3D

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

Function Resource: DirectedGraphTransferMatrix

Obtain partial probabilities of random walks on a directed graph

Function Resource: TridiagonalInverse

Evaluate the inverse of a tridiagonal matrix

Function Resource: CatacausticCurvePlot

Plot the catacaustic of a curve

Function Resource: RuledSurfacePlot

Plot a ruled surface

Function Resource: NumberedPointPlot

Plot a list of points as numbered labels

Function Resource: DecisionBoundaryPlot

Plot the decision boundaries of a classifier

Function Resource: FrenetSerretPlot

Plot the Frenet–Serret frame of a curve

Function Resource: PursuitCurvePlot

Plot a predator-prey pursuit curve

Function Resource: MultipleAxesPlot

Display different vertical axes for two plotted expressions

Function Resource: GraphFunctionPlot

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

Function Resource: SinusoidPlotQuiz

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

Function Resource: MultiwayEvolutionPlot

Plot the evolution of a multiway system

Function Resource: ParetoPrinciplePlot

Make Pareto principle adherence plots

Function Resource: IteratedAffinePlot

Plot polygons after iteratively applying a translation, scaling and rotation

Function Resource: IntegralApproximationPlot

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

Function Resource: RaggedDigitsPlot

Plot an array of digits, allowing them to be ragged on the left

Function Resource: LeastSquaresPlot

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

Function Resource: MoleculeValuePlot

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

Function Resource: PeptideHydropathyPlot

Generate the hydropathy plot of a peptide sequence

Function Resource: QuadricSurfacePlot

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

Function Resource: NewtonMethodPlot

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

Function Resource: SectionPlot3D

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

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: MillerIndicesPlot

Plot cubic lattice crystallographic planes with h, k, l Miller indices

Function Resource: ExtractPlotImageData

Extract data from a plot image

Function Resource: CurvatureTorsionPlot3D

Plot a curve defined by its curvature and torsion

Function Resource: PolarTreemapPlot

Plot a polar tree map of a given nested list

Function Resource: RowSpace

Compute properties of the row space of a matrix

Function Resource: ColumnSpace

Compute properties of the column space of a matrix

Function Resource: GalileanSatellitesPlot

Plot the relative positions of Jupiter's four largest moons as seen from Earth

Function Resource: MoleculePrincipalMomentPlot

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

Function Resource: CombinatorEvolutionPlot

Visualize the evolution of a combinator expression

Function Resource: LDLDecomposition

Find the LDL decomposition of a Hermitian matrix

Function Resource: RandomSparseSPDMatrixProbNum

Create a random sparse symmetric positive definite matrix using the Python package ProbNum

Function Resource: WolframModelPlot

Generate a visual display of a hypergraph

Function Resource: TilingPatternPlot

Visualize a set of tiles

Function Resource: FindMinimumPlot

Visualize the function evaluations done by FindMinimum

Function Resource: ByteArrayPlot

Visualize the contents of binary data

Function Resource: SubstitutionSystemPlot

Visualize the evolution of a one-dimensional neighbor-independent substitution system

Function Resource: Pfaffian

Compute the Pfaffian of an antisymmetric (skew-symmetric) matrix

Function Resource: StemLeafPlot

Construct a stem-and-leaf diagram

Function Resource: CombinatorBracketsPlot

Visualize matched brackets of a combinator

Function Resource: DNAAlignmentPlot

Generate a visualization for DNA sequence alignment

Function Resource: MobileAutomatonPlot

Visualization of the evolution of a mobile automaton

Function Resource: FindRootPlot

Visualize the function evaluations done by FindRoot

Function Resource: GenealogyTreePlot

Generate a genealogy family tree showing the relationship between you and another relative

Function Resource: RegressionListPlot

Display the regression line of a dataset

Function Resource: LSystemPlot

Display an L-system

Function Resource: MultispacePlot3D

Plot multispace in 3D

Function Resource: DateListPlotRanged

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

Function Resource: OrderedGraphModelPlot

Plots ordered trivalent graphs

Function Resource: TabViewListPlot

Create a TabView for a ListPlot using linear and logarithmic axes

Function Resource: SkewTridiagonalDecomposition

Compute the skew-tridiagonal decomposition of an antisymmetric matrix

Function Resource: InteractiveGraphics

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

Function Resource: PlotVector3D

Plot a list of vectors in space

Function Resource: SkewLTLDecomposition

Tridiagonalize an antisymmetric (skew-symmetric) matrix using the Parlett-Reid algorithm

Function Resource: AlluvialChart

Chart changing weights over time

Function Resource: GeologicalPeriodBedrockPlot

Plot the location of bedrock for a specified geological period

Function Resource: DefinitePencilReduce

Convert a Hermitian-definite matrix pencil into a matrix with the same eigenvalues

Function Resource: QuadricPlot3D

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

Function Resource: MultipleAxesListPlot

A version of ListPlot that displays two lists of data with different y axes

Function Resource: RiemannSphereComplexPlot

A 3D rotatable Riemann sphere version of ComplexPlot

Function Resource: SatelliteGroundTrackPlot

Plot the ground track and position of artificial satellites

Function Resource: SubstitutionSystemCausalPlot

Generate a plot illustrating causal features of substitution system evolution

Function Resource: ZeroDiagonal

Replace the diagonal of an arbitrary matrix with zeros

Function Resource: AasenDecomposition

Compute the Aasen decomposition of a Hermitian matrix

Function Resource: MatplotlibObject

Supplement Wolfram Language plotting functions with Python's Matplotlib

Function Resource: CheckboxLegended

Add a legend with checkboxes to a plot that toggles individual datasets on and off dynamically

Function Resource: ManipulateParametricPlot3D

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

Function Resource: Nullity

Compute the nullity of a matrix

Function Resource: BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource: SubstitutionSystemRulePlot

Generate the rule icon for a one-dimensional neighbor-independent substitution system

Function Resource: LayeredGraphPlot3D

Generate a layered 3D plot of a graph

Function Resource: GeoCommunityGraphPlot

Create a graph on a map with communities highlighted with different colors

Function Resource: BioSequenceMoleculePlot

Visualize a biomolecular sequence with highlighted residues

Function Resource: MobileAutomatonRulePlot

Generate the rule icon for a mobile automaton

Function Resource: SequenceGraph

Create a graph from a data sequence

Function Resource: TagSystemRulePlot

Generate the rule icon for a tag system

Function Resource: AppendColumn

Append a column to the right of a matrix

Function Resource: PrependColumn

Prepend a column to the left of a matrix

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

Function Resource: SequentialSubstitutionSystemPlot

Visualization of the evolution of a sequential substitution system

Function Resource: DirectionalDerivativePlot3D

Visualize the directional derivative in a 3D plot

Function Resource: FunctionAudiolize

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

Function Resource: LinearFunctionQuiz

Generate a quiz to assess understanding of linear functions

Function Resource: TropicalStormRainContourPlot

Create a contour plot for the rain totals of a given tropical storm

Function Resource: UpperTriangularDecomposition

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

Function Resource: GramianReduce

Find a unimodular conversion matrix corresponding to a lattice Gramian matrix

Function Resource: RiemannSurfacePlot3D

Plot Riemann surfaces of compositions of elementary functions

Function Resource: IntegralApproximationPlot3D

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

Function Resource: MoleculeValuePlot3D

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

Example Resource: Humidity Distributions at Weather Stations

Plot the distributions of humidity measurements for a given day or over a year

Function Resource: SolarSystemPlot3D

Plot the positions of solar system objects in 3D

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: RationalCholeskyDecomposition

Compute the rational Cholesky decomposition of a matrix

Function Resource: NEigenvalueSumGradient

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

Function Resource: MoonPositionPlot3D

Plot the relative positions of the Moon and Earth in 3D, illuminated by the Sun

Example Resource: Map Wind Farms and Wind Strength

Visualize the locations of wind farms in the USA together with the strength of the local wind

Function Resource: SymmetricSort

Symmetrically reorder the rows and columns of a square matrix

Function Resource: RadarChart

Show numerical data in a radar-style chart

Function Resource: QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

Function Resource: FindSubmatrix

Find a submatrix in an array matching a pattern

Function Resource: Spirograph

Plot a spirograph

Function Resource: CharacterProteinPlot3D

Visualize English letters with 3D protein structures

Example Resource: Wind Flow around the World

Construct geo stream plots of wind streamlines around the world

Function Resource: Cofactor

Get a cofactor of a matrix

Function Resource: MoleculeSymmetryPlot3D

Show a molecule in 3D together with its symmetry elements

Function Resource: ClickPoincarePlot2D

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

Function Resource: SequentialSubstitutionSystemRulePlot

Generate the rule icon for a sequential substitution system

Function Resource: TapeMeasureNumberLinePlot

Show a length on a tape measure and give the closest ruler fractions

Function Resource: BarningHallTree

Generate primitive Pythagorean triples in a tree form using Fibonacci matrices

Function Resource: MoleculeView

View the two-dimensional and three-dimensional plots of a molecule side by side

Function Resource: BidiagonalDecomposition

Compute the bidiagonal decomposition of a numerical matrix

Function Resource: BuildBioSequenceBondListFromFoldingMatrix

Construct all potential bond lists from a folding matrix associated with a biomolecular sequence

Function Resource: BioMoleculePlot3D

Visualize the 3D structure of biomolecules

Function Resource: BlockEntropy

Calculate the joint information entropy of a data matrix

Function Resource: PopovDecomposition

Compute the Popov decomposition of a matrix of univariate polynomials

Function Resource: EvaluateBenchmark

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

Function Resource: ShapeOperator

Compute the shape operator on a surface

Function Resource: BranchialGraphs

Depict branch-like connections between components of a directed acyclic graph

Function Resource: GeneralizedVariance

Find the determinant of the covariance matrix

Function Resource: FindDistanceInstance

Find an instance of n-dimensional vectors that produce a specified distance matrix

Function Resource: DoyleSpiral

Plot Doyle spirals

Function Resource: IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

Function Resource: WhiteningTransform

Transform data such that its covariance matrix is the identity matrix

Function Resource: LatticeUnitCellPlot3D

Display specific unit cells in a 3D lattice

Function Resource: EnlargeBoundingBox

Increase a bounding box by a fractional amount

Function Resource: BioSequenceMoleculePlot3D

Visualize a biomolecular sequence in 3D with highlighted residues

Function Resource: BioMoleculeFluctuationPlot3D

Show the fluctuations of residues in a biomolecule

Function Resource: GaussianHessenbergDecomposition

Compute the Gaussian Hessenberg decomposition of a matrix

Function Resource: PolynomialHermiteDecomposition

Compute the Hermite decomposition of a matrix of univariate polynomials

Function Resource: LinearlyIndependent

Determine whether a set of vectors is linearly independent

Function Resource: LatticeVoronoiCellPlot3D

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

Function Resource: RandomRotationQuaternion

Return uniformly distributed random rotations in quaternion form

Example Resource: Find the Longest Path in a Molecule

Use the distance matrix and shortest path algorithm to find the longest through-bond communication path in a tRNA connector

Function Resource: Antidiagonal

Give the antidiagonal of a matrix

Function Resource: LinearlyConsistentQ

Determine if a linear system has a solution

Function Resource: FullQRDecomposition

Compute the full QR decomposition of a matrix

Paclet Resource: ZigangPan/RouthHurwitz

The true Routh Hurwitz test and more

Function Resource: FullRankDecomposition

Compute a full rank decomposition of a matrix

Function Resource: MinSumPermutation

Find a permutation that minimizes a matrix sum

Function Resource: GershgorinDisks

Show the Gershgorin disks of a square matrix

Function Resource: LifetimeChart

Visualize a lifetime in weeks or months

Function Resource: BitStringNullSpace

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

Function Resource: MeanValueTheoremQuiz

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

Function Resource: RandomMandala

Make random mandala plots

Function Resource: PenroseTile

Make plots of Penrose tiles

Function Resource: PolynomialSmithDecomposition

Compute the Smith decomposition of a matrix of univariate polynomials

Function Resource: WolframPhysicsProjectStyleData

Look up styles used in the Wolfram Physics Project

Function Resource: FirstOrderCorrelation

Compute the first order correlation matrix from an original correlation matrix

Function Resource: BialternateProduct

Calculate the bialternate product of two square matrices

Function Resource: Immanant

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

Paclet Resource: AntonAntonov/ReliabilityTools

Reliability-related algorithms and tools

Function Resource: LinearConstraints

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

Function Resource: LinearCombination

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

Function Resource: SignLogDet

Compute the sign and natural logarithm of the determinant of a matrix

Function Resource: AxisAngle

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

Function Resource: PolarDecomposition

Compute the polar decomposition of a matrix

Function Resource: TakagiDecomposition

Compute the Takagi decomposition of a complex-symmetric matrix

Function Resource: TotalVariation

Get the total variation of a matrix

Function Resource: Intrinsic3DCurve

Plot intrinsic curves in 3D

Function Resource: HofstadterButterfly

Plot successive steps of Hofstadter’s butterfly

Function Resource: GraphMouseMagnify

Dynamically magnify graphs with your mouse

Function Resource: SubmatrixReplace

Efficiently replace rectangular submatrices of an input data matrix

Function Resource: HessianDeterminant

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

Function Resource: ArrayCrop

Remove padding from an array

Function Resource: WishartDistribution

Represent the Wishart distribution

Function Resource: Kurvendiskussion

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

Function Resource: NearestKroneckerProductSum

Approximate a numerical matrix as sum of Kronecker products

Function Resource: GraphicsOptionQ

Test if an expression is a graphics option

Function Resource: UpSetChart

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

Paclet Resource: PeterBurbery/LinearAlgebraPaclet

A paclet for linear algebra and its applications

Function Resource: ExtendedGroebnerBasis

Compute a Groebner basis and a conversion matrix from the input polynomials to the basis

Function Resource: DiagonalizeQuadratic

Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares

Function Resource: AdjacencyHypergraph

Compute the hypergraph with a specified adjacency tensor

Function Resource: AdjacencyTensor

Compute the adjacency tensor of an arbitrary hypergraph

Function Resource: IdentityHypermatrix

Get the d-dimensional identity hypermatrix

Example Resource: Build a Recipe Timeline

Plot a timeline of the steps in recipes

Function Resource: RoseCurveAnalysis

An interactive plot for the areas inside the rose curve

Function Resource: TreeGrid

Display a tree with a grid

Function Resource: SimplexMedian

Get the simplex median of the elements of a matrix

Function Resource: WeyrDecomposition

Compute the Weyr decomposition of a square matrix

Function Resource: EllipsoidQuartiles

Find the ellipsoidal loci of the quartiles of matrix

Function Resource: LogarithmicNorm

Evaluate the logarithmic norm of a square matrix

Function Resource: OrderedSchurDecomposition

Compute the ordered Schur decomposition of a matrix

Function Resource: HertzsprungRussellDiagram

Plot the positions of stars in a Hertzsprung–Russell diagram

Function Resource: ChaosGame

Plot iterations for the 2D chaos game

Function Resource: PulsarPDotDiagram

Plot the positions of pulsars in a P-Ṗ diagram

Function Resource: GraphicsBounds

Get the plot range used in a piece of graphics

Function Resource: QuantumTensorAutomaton

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

Function Resource: SciPyObject

A minimal PythonObject configuration for the SciPy package

Function Resource: TaxonomyGraph

Visualize the taxonomy graph of a given species

Function Resource: ElasticData

Compute elastic properties of a material with a specified elastic tensor (stiffness matrix)

Function Resource: ExtendedLatticeReduce

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

Function Resource: ColumnSpaceBasis

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

Function Resource: RowSpaceBasis

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

Function Resource: LinearAlgebraMod

Perform matrix operations over a finite field

Example Resource: Modes of a Pentagon Drum

Compute and plot eigenmodes of a polygon drum

Function Resource: BezierInterpolatingControlPoints

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

Paclet Resource: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

Function Resource: HypergraphToGraph

Convert a hypergraph to a graph with the same distance matrix

Function Resource: PivotColumns

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

Function Resource: DisplaySudokuPuzzle

Display a square matrix in a sudoku-puzzle format

Function Resource: BlockSubmatrices

Decompose a matrix into a comprehensive set of smaller matrices

Function Resource: ExtractGraphicsPrimitives

Extract the underlying graphical primitives from plots and graphics

Function Resource: TukeyMedianPolish

Find row and column effects in a data matrix by repeatedly subtracting the median

Example Resource: Analyze the Frequency and Magnitude of Earthquakes

Explore the distribution of earthquake magnitudes recorded over a period of time

Example Resource: Transient Landau–Ginzburg Model

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

Function Resource: SystemModelManipulate

Manipulate parameters or initial values in plots of model simulation results

Function Resource: PivotedLUDecomposition

Compute the LU decomposition of a matrix with different pivoting methods

Function Resource: ContinentalPlateMaps

Plot the positions of the continental plates during various geological periods

Function Resource: AntidiagonalTotals

Give the totals of the entries on the rising diagonals of a square matrix

Function Resource: TracySinghProduct

Calculate the Tracy–Singh product of two matrices

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Function Resource: CurveAnalysis

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

Example Resource: Generate Publication-Quality Molecular Structure Diagrams

Use plot themes to control the appearance and level of detail

Function Resource: KirchhoffTensor

Compute the Kirchhoff tensor (Laplacian) of an arbitrary hypergraph

Function Resource: KirchhoffHypergraph

Compute the hypergraph with a specified Kirchhoff tensor (Laplacian)

Example Resource: Pressure Reading Drops Due to Hurricane Sandy

Compute the correlation between the air pressure and wind speed changes during a hurricane

Example Resource: Zoom in on Earthquakes

Create an interactive plot of earthquakes that occurred in the past year

Example Resource: Quantum State Visualization

Plot the Bloch vector or diagrammatic representation of a quantum state

Example Resource: Range of Pulsar Spin Rates

Plot the rotation period versus the period derivative of pulsars

Function Resource: SelectAtoms3D

Interactively select atom indices from a 3D molecule plot

Function Resource: ProbNumObject

PythonObject configuration for the Python package ProbNum

Paclet Resource: NoahH/CreateCoil

Create simple, discrete coils using current-carrying loops, saddles or ellipses to generate magnetic fields

Function Resource: MoleculeMeshRegion

Create a mesh region from a molecule

Paclet Resource: Wolfram/GeometricAlgebra

Computational tools for Geometric Algebras

Data Resource: Repetition Periods for Elementary Cellular Automata

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

Example Resource: Macronutrients in Sustainable Foods

Plot the macronutrients in vegetables, grains, legumes and other sustainable foods

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Function Resource: MultidimensionalScaling

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

Example Resource: Depth and Position of Earthquakes

Obtain and visualize a decade of earthquake data in Japan

Function Resource: QuadraticResidueAcousticDiffuser

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

Function Resource: TensorPureFunction

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

Paclet Resource: AntonAntonov/MonadicGeometricNearestNeighbors

Software monad for Geometric Nearest Neighbors workflows

Function Resource: ScaledRankChart

Display a chart of scaled counts of elements in a list

Example Resource: Construct Mollier Diagrams

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

Function Resource: TableQ

Similar to ArrayQ, except it allows for ragged collections of nested lists

Function Resource: BitStringLinearSolve

A memory efficient form of solving linear systems modulo 2

Function Resource: TaxonomyCommonAncestor

Find a common ancestor across taxa

Function Resource: FindExactCover

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

Function Resource: LatinSquare

Generate a matrix from a list such that no row or column contains the same element twice

Example Resource: Pepper Pungency on the Scoville Scale

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

Example Resource: Molecular Vibrations

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

Function Resource: NiceGrid

Nicely format data in various structures into a grid format

Function Resource: DixonResultant

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

Example Resource: Chart the Northwest Passage

Use geomagnetic modeling to plot differences between magnetic and true north at high latitudes

Data Resource: Paul Revere's Social Network in Colonial Boston

Dataset of associations among political groups in colonial Boston 1762 - 1775

Example Resource: Find Clusters in a Set of Molecules

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

Paclet Resource: WolframChemistry/ProteinVisualization

Functions for protein visualizations

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: ChiSquareMarkovChainStatistics

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

Function Resource: OrthogonalPolynomialVandermondeSolve

Solve an orthogonal polynomial Vandermonde linear system

Function Resource: ToTensor

Convert an expression involving ArrayDot, Dot, Transpose, Tr or MatrixPower into an equivalent expression using TensorContract

Function Resource: ApproximatedSurface

Approximate a parametric surface with different graphics primitives

Data Resource: Path of the Total Solar Eclipse of August 21st, 2017

Dataset of the Path of the Total Solar Eclipse of August 21st, 2017

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Paclet Resource: PeterBurbery/NewLinearAlgebraPaclet

A paclet for linear algebra

Function Resource: BresenhamPoints

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

Function Resource: CrossTabulate

Compute the contingency table for a two- or three- column dataset or array

Paclet Resource: AntonAntonov/NLPTemplateEngine

Code generation by filling in templates using NLP techniques

Function Resource: VisualizeDigitPath

Get a graph of the sequential digit path of a number

Data Resource: Sample Data: Water Boiling Points in the Alps

17 observations on the boiling point of water and barometric pressure in inches of mercury.

Example Resource: Recognize Keywords in Speech

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

Example Resource: Compare the Shape of Different Countries

Calculate shape distances between countries using canonical time warping

Paclet Resource: AntonAntonov/SoftwareDesignMethodsWithWLBook

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

Paclet Resource: AntonAntonov/MonadicContextualClassification

A monad for machine learning classification workflows

Paclet Resource: AntonAntonov/MonadicSystemDynamics

Software monad for System Dynamics workflows

Paclet Resource: AntonAntonov/AssociationRuleLearning

Functions for association rule learning

Paclet Resource: AntonAntonov/DSLTranslation

Translation of natural language commands to code

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Function Resource: FastFourierGraph

Create a fast Fourier transform calculation in graphical form

Function Resource: CoplanarQ

Determine whether a set of points lies in a plane

Function Resource: CollinearQ

Determine whether a set of points lie on a line

Example Resource: Similarity of Instrument Recordings

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

Paclet Resource: WolframInstitute/Hypergraph

Hypergraph tools

Paclet Resource: AntonAntonov/TriesWithFrequencies

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

Paclet Resource: AntonAntonov/VariableImportanceByClassifiers

Variables importance determination using classifiers

Paclet Resource: AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Function Resource: GraphCoordinationSequence

Find the number of vertices at each distance in a symmetric graph

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: VectorSubspaceQ

Determine if the span of one list of vectors is contained in the span of a second list of vectors

Function Resource: SameSpanQ

Determine whether two lists of vectors span the same subspace

Function Resource: LaguerreGaussianBeam

Represent a Laguerre–Gaussian beam and its properties

Function Resource: GaussianBeam

Represent a Gaussian beam and its parameters

Function Resource: Triangle3DTo2D

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

Function Resource: Visualize3DView

Interactively visualize the camera setup relative to the scene and lighting of 3D graphics

Function Resource: ReflectPoints

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

Function Resource: GramP

Evaluate the Gram polynomial

Function Resource: PermutationSkewSum

Compute the skew sum of permutation lists

Function Resource: PermutationDirectSum

Compute the direct sum of permutation lists

Function Resource: WienerIndex

Compute the Wiener index of a graph

Function Resource: SymbolicFourier

A symbolic version of the Fourier function

Function Resource: NormalTexture

Generate a normal texture from height data

Function Resource: RoseCurveProperties

Compute the properties of a specified rose curve

Function Resource: LagrangePointData

Compute properties for the Lagrange points of two orbiting astronomical bodies

Function Resource: ParameterizePolygon

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

Function Resource: ArgHue

Map the argument of a complex number to a color

Data Resource: HumanMethylation450 BeadChip

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

Data Resource: Human Protein Protein Interaction Network

The human protein protein interaction network from The Human Protein Atlas

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: SlopeFieldQuiz

Generate a quiz to assess understanding of slope fields

Function Resource: DerivativeSignCharts

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

Data Resource: Human Protein Protein Interaction Network Genes

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

Data Resource: Food Carbon Footprint

Greenhouse gas emissions during production of common foods

Data Resource: The Busy Beaver Competition

Current Busy Beaver Records, winning Turing Machines and references

Function Resource: PedalCurve

Compute the pedal of a curve

Function Resource: RollingCurve

Compute a rolling curve

Function Resource: InfiniteCatacausticCurve

Compute the catacaustic of a curve at infinity

Function Resource: NinePointCubic

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

Function Resource: StrophoidCurve

Compute a strophoid curve

Function Resource: GenerateWangTiling

Generate a tiling pattern from a set of Wang tiles

Function Resource: CATransducerGraph

Obtain an annotated state transition graph for any CellularAutomaton rule

Function Resource: CanonicalTilingMask

Get a canonical form for an overlap tiling mask

Function Resource: ProjectDataGanttChart

Create Gantt charts for datasets with project data

Function Resource: GeologicalPeriodChronologyChart

Create a chart that places geological time periods within the context of parent divisions and subdivisions

Function Resource: ImplicitCurvature

Compute the implicit curvature of a curve

Function Resource: EvolutoidCurve

Compute the evolutoid of a curve

Function Resource: FindMinimalTilings

Find minimal sets of templates for constructing tiling patterns

Function Resource: GenerateTiling

Generate a tiling pattern from a set of local template constraints

Function Resource: CombinatorEncode

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

Function Resource: RankChart

Create a ranking chart

Function Resource: ConchoidCurve

Compute a conchoid curve

Function Resource: FourPointParabolas

Get the parabolas that go through four points

Function Resource: DLMFHue

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

Function Resource: PersistentHomology

Perform persistent homology on a point cloud dataset

Function Resource: VariableSectionTube

Compute the parametrization of a tube of variable section

Function Resource: LayeredLayoutGraph

Render a graph with vertices arranged in the specified layers

Function Resource: PointArrayToPolygons

Make polygons from an array of points

Function Resource: Biorhythm

Show your biorhythms

Function Resource: RandomFractalArt

Make a random fractal image based on the Mandelbrot set

Function Resource: GraphFoliations

Enumerate possible foliations of a directed acyclic graph

Function Resource: InversionCurve

Compute the inversion of a curve

Function Resource: MandelbrotSetRemap

Apply functions to remap the Mandelbrot set

Function Resource: SignChart

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

Function Resource: MixedNumberForm

Represent an improper fraction in mixed form

Function Resource: NetworkXObject

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

Function Resource: RadialDistributionFunctionList

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

Function Resource: TranslationSurface

Compute a translation surface parametrization

Function Resource: NestedBranching

Generate a nested branching model

Function Resource: ComplexMapVisualization

Visualize the behavior of conformal mappings in the complex plane

Example Resource: Compare Weather in Chicago and European Capitals

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

Function Resource: MexicoCOVID19Data

Import data from the Dirección General de Epidemiología website

Function Resource: ChordDiagram

Make a weighted connectivity graph using circular embedding

Function Resource: PairwiseMultidimensionalScaling

Multidimensional scaling algorithm for embedding pairwise distances into a Cartesian space

Function Resource: MultinormalKLDivergence

Compute the Kullback–Leibler divergence between two multinormal distributions

Function Resource: Bjorling

Compute the Björling formula

Function Resource: FiniteStateIndicatorIcon

Give graphics to indicate the state of a finite-state system such as the head of a Turing machine

Function Resource: ImageRayTraceBump

Add ray traced bump and highlights to an image

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: TuringMachineToNumber

Convert an explicit list of rules into an enumerated Turing machine specification

Function Resource: EpidemicModel

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

Function Resource: TwistedSurface

Generate a surface twisting a curve

Function Resource: DynamicCellularAutomaton

Generate a cellular automaton evolution with initial conditions chosen by a click

Function Resource: COVIDTrackingData

Obsolete. Import data about COVID-19 in the US from the COVID Tracking Project

Function Resource: TangentDevelopableSurface

Compute the tangent developable surface of a curve

Function Resource: DynamicCASelector

Dynamically select between cellular automata

Function Resource: RadialCurve

Compute the radial curve of a given curve

Function Resource: SphericalCurve

Get curves defined over a sphere

Function Resource: PerpendicularSurface

Compute the perpendicular surface of a curve

Function Resource: NaturalEquations

Compute the natural equations of a curve

Function Resource: UnitNormal

Compute the unit normal of a surface

Function Resource: InvoluteCurve

Compute the involute of a curve

Function Resource: RandomCellularAutomatonRule

Randomly sample different cellular automaton rule spaces

Function Resource: EnneperWeierstrass

Compute the Enneper-Weierstrass parametrization

Function Resource: GraphReconstructedSurface

Embed a hypergraph into a surface

Function Resource: TuringMachineImport

Import standard Turing machine formats

Function Resource: ParallelSurface

Compute the parallel surface of a surface

Function Resource: NormalCurvature

Compute the normal curvature of a curve on a surface

Function Resource: GraphicsInformation

Get information about the rendered form of a Graphics object

Function Resource: RidgeLineMap

Generate a ridge line map from elevation data

Function Resource: COVID19EpidemicData

Access COVID-19 epidemic data

Function Resource: TapeDiagram

Visualize fractions, integers and multiplication using tape diagrams

Function Resource: ProteinImageString

Visualize text with letters represented by protein structures

Function Resource: ESMFoldProteinSequence

Fold a protein using the ESMFold API

Function Resource: QueryTreeForm

Present a query as a tree

Function Resource: Cyclide

Compute expressions for Dupin cyclide surfaces

Function Resource: HumanProteinInteractionNetwork

Generate a graph of a specific portion of the human protein-protein interaction network for a gene

Function Resource: ExpressionViewer

A dynamic tool that helps visualize the structure of an expression

Function Resource: RandomSierpinskiMaze

Generate a maze based on the Sierpinski carpet

Function Resource: DistanceLayeredGraph

Render a graph with vertices at heights based on their distance from the root

Function Resource: DirectionalD

Compute the directional derivative of a function

Function Resource: RNAFoldingMaximumBasePairing

Fold a single RNA strand for maximum base pairing

Function Resource: MACCSKeys

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

Function Resource: AssociationOuter

Compute the generalized outer product of lists and get an association keyed by arguments

Function Resource: TuckerDecomposition

Compute the Tucker decomposition of a tensor

Function Resource: CaliforniaCOVID19Data

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

Function Resource: RegionInputField

User interface for drawing 2D mesh regions

Function Resource: Asymptotes

Compute the asymptotes to a given curve in two dimensions

Function Resource: CharacterInteractionGraph

Create a graph representing the interactions among characters in a story

Function Resource: FocalSet

Compute the focal set of a surface

Function Resource: GeoGraphics3D

A 3D rotatable sphere version of GeoGraphics

Function Resource: GoldbergGraph

Create a graph corresponding to a Goldberg polyhedron

Function Resource: ComputationalSystemRules

Find explicit sets of rules for computational systems

Function Resource: NinePointQuadric

Find a quadric surface that passes through nine given 3D points

Function Resource: Graphics3DSketch

Convert an ordinary Graphics3D object to a sketch-styled raster image

Function Resource: KhatriRaoProduct

Evaluate the Khatri-Rao product of matrices

Function Resource: GraphCount

Find the number of fundamentally different graphs of a specified size

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Function Resource: PolynomialToBSplineCurve

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

Function Resource: LeibnizHarmonicTriangle

Display a given number of rows in the Leibniz harmonic triangle

Function Resource: RiemannSum

Compute information related to a Riemann sum

Function Resource: UnitedStatesCoalProduction

Retrieve coal production data for regions in the United States

Function Resource: MoleculeManipulate3D

Interactively change bond lengths, bond angles and torsion angles

Function Resource: NoiseSphere

Visualize the noise sphere of a set of random numbers

Function Resource: PolarCurveIdentifier

Identify which polar curves are associated with the given equations

Function Resource: ModifiedAllanDeviation

Measure the bandwidth-modified two-sample phase/frequency stability

Function Resource: VitaminData

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

Function Resource: OpticalFieldModeling

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

Function Resource: RungeKuttaDSolve

Solve differential equations using one of the Runge–Kutta or related methods

Function Resource: ApproximatedCurve

Get an approximation to a parametric curve

Function Resource: UCSCGenomeSequenceData

Retrieve DNA sequences from the UCSC Genome Browser database

Function Resource: ParabolaProperties

Get an association of the properties of the given parabola

Function Resource: CircleInversion

Compute the inversion of an object with respect to a reference circle in the Euclidean plane

Function Resource: BusyBoxesAutomaton

Implementation of the Busy Boxes 3D reversible cellular automaton

Function Resource: ProjectGraphics3D

Project 3D graphics onto a plane

Function Resource: GeoElevationGraphics3D

Visualize 3D geographics with elevation

Function Resource: ComplexRange

Generate a range of complex numbers

Function Resource: LInfinitySolve

Solve the linear minimax problem

Function Resource: L1Solve

Solve the linear least absolute value problem

Function Resource: HistoricalCountryAnimate

Show an animation of the full history of a historical country's territory, along with borders of any modern country it intersected during a given year

Function Resource: RandomDate

Sample random date lists

Function Resource: GeoElevationRegion

Generate a 3D mesh region for geographic locations with accurate elevation data

Function Resource: DVectorField

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

Function Resource: ClickRecurrenceMap2D

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

Function Resource: Cartogram

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

Function Resource: SphericalImage

Map an image onto a sphere to view it from the inside as a VR surrounding or from the outside as a globe

Function Resource: KeywordsGraph

A weighted graph visualizing the flow and clustering of ideas in the text

Function Resource: ExportRotatingGIF

Export 3D graphic objects as spinning animations in GIF format

Function Resource: ImageColorFunction

Create a color function from colors in an image

Function Resource: Stereogram3D

Create a stereoscopic image with a 3D effect

Example Resource: Properties of the Planck Radiation Law

Explore properties of electromagnetic radiation emitted by bodies at given temperatures

Example Resource: Compare Frying Pan Thermal Properties

Compare the thermal properties of frying pans made from different materials

Example Resource: Create Molecules from SMILES Strings

Function Resource: StringsToVectors

Convert a set of text strings to numeric vectors

Function Resource: CountPolynomialSolutions

Count the roots to a system of polynomials

Example Resource: Model Forest Fires on a Grid

Simulate a forest fire as a probabilistic cellular automaton

Example Resource: Mass Accretion in Cataclysmic Variable Stars

Compute and visualize the impact point of stellar mass transfer streams onto accretion disks using event detection

Example Resource: Stereochemistry Elements of Molecules

Detect, depict and modify the arrangement of atoms in a molecule with respect to chiral centers and non-rotatable double bonds

Example Resource: Random Chain Molecule

Construct a molecule from a random sequence of atoms

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

Detect molecular point groups describing the symmetry of a molecule

Example Resource: Compare Rent and Mortgage Payments

Compare the monthly cost of various size apartments to the mortgage for a median priced home

Function Resource: TensorCoordinateTransform

Transform components of tensors with arbitrary rank with regard to their transformation behavior under any given mapping

Example Resource: Analyze Components and Connectivity of Molecule Graphs

Create the graph underpinning a molecule and visualize cycles, partitions and communities in the graph

Example Resource: Chirp Z Transform of a Moving-Average Filter

Compute and visualize the magnitude and path of a chirp Z transform of a moving-average filter

Example Resource: Train LeNet to Classify Images of FashionMNIST

Classify images of a dataset of labeled fashion images

Example Resource: Enumerating Stereoisomers

List all the possible stereoisomers of a sugar molecule with four stereogenic centers

Example Resource: Molecular Gears

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

Example Resource: Highlight Patterns in Molecules

Define and visualize patterns for atoms, bonds and arbitrary substructures in a molecule

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

Function Resource: IteratedMap2D

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

Example Resource: Compare Median Income and Fair Market Rent

Find and visualize the Illinois counties where the rent is a higher proportion of income by combining Wolfram Knowledgebase data with public data

Example Resource: Dose Selection for Drug Trials

A model-based approach to identify appropriate starting doses

Example Resource: Find Ketones That Are Also Diaryl Ethers

Use substructure matching and highlight the functional group

Example Resource: Modify Molecule Properties and Structures

Change atomic properties like charge and mass number or add and remove entire substructures

Example Resource: Visualize Rents Across a Region

Use public data to map fair market rent in the Midwest

Example Resource: Detect Rotating Objects in a Video

Apply vector field analysis on image displacements to capture video dynamics

Example Resource: Estimating Liver Function

A model-based approach to contrast agent transport

Example Resource: Phosphorylation of Insulin Receptors

Model, simulate and analyze biochemical pathways involved in insulin signaling

Example Resource: Fooling Neural Networks

Construct illusions for image classification networks

Example Resource: Molecule Substructure Replacement

Replace molecular patterns in cyclopentane

Example Resource: Generate the Isomers of Decane

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

Example Resource: Distribution of Endangered Mammals

Analyze habitats of endangered mammalian species and compare with anthropogenic biomes

Example Resource: Population Density of G10 Countries

Example Resource: Ecological Alpha Diversity

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

Example Resource: Model the Composition of the Universe over Time

Explore changes in the composition of the universe according to the standard ΛCDM (Lambda cold dark matter) model

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

Example Resource: Earthquake Frequency by Country

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

Example Resource: Möbius Carbon Nanobelts

3D structures and properties of twisted carbon nanobelts and their precursors

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

Visualize terms for food from the LanguaL International Food Thesaurus

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

Example Resource: Visualize a Time Series of Temperature Data

Example Resource: Daily Change of Worldwide Tides

Simulate the effect of the Moon's gravitational pull

Example Resource: Create a Timeline of Rembrandt's Paintings

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: Analyze Speech Formants

Compute speech formants of original and modified signals

Example Resource: Stirling Cycle with Real-World Materials

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

Example Resource: Visualize Earth's Gravitational Field

Calculate and visualize the magnitude of the gravitational field across the entire planet

Example Resource: Recognize Molecules from Images

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

Example Resource: Compare Two ECG Signals Using DTW

Use the dynamic time warping distance to compare two heartbeat signals

Example Resource: Visualize Ocean Maximal Tides

Show high tides and Moon phases for a specified city

Example Resource: Temperature Variability at a Given Location

Explore a time series of quantity-valued data

Example Resource: Relationships between Particle Detectors

Visualize links between families of measurement devices

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

Example Resource: Classify Spoken Digits

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

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

Example Resource: Symbolic Bio Sequence Representations

Explore several data structures for representing chemical species at different levels of granularity

Example Resource: Train a Custom Image Classifier

Retrain an image classifier network to automatically distinguish dromedaries from camels

Example Resource: Build a Network of Ingredient Substitutions

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

Example Resource: Design a Lowpass Butterworth Filter

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

Example Resource: Classify Pollen Images Using Neural Nets

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

Example Resource: Forecast the Weather

Compare weather forecast data to historical values and visualize the results