Wolfram Resource System

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Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: WolframChemistry/Selfies

SELF-referencIng Embedded Strings

Paclet Resource: WolframChemistry/QuantumChemistry

Quantum Chemistry and Electronic Structure Functions

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

Paclet Resource: TheRealCStover/MATrixLinearAlgeBra

A collection of WL implementations of Matlab functions

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: Obando/CAGenetics

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

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: ChristopherWolfram/OpenAILink

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

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/PaLMLink

PaLM API linking functions

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Function Resource: BinormalVector

Compute the binormal vector of a curve

Function Resource: NormalVector

Compute the normal vector of a curve

Function Resource: DarbouxVector

Compute the Darboux vector field of a curve

Function Resource: BinormalSurface

Compute the binormal surface to a curve

Function Resource: TangentVector

Compute the tangent vector of a curve

Function Resource: PlotVector

Plot a list of vectors in the plane

Function Resource: RandomVector

Return a pseudorandom vector of a given type and size

Function Resource: CoordinateVector

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

Example Resource: Image Vectorization

Apply smoothing and quantization to a raster image to make it more suitable for vectorization

Function Resource: RectifyingPlane

Compute the rectifying plane of a space curve

Function Resource: NormalPlane

Compute the normal plane of a space curve

Function Resource: StringsToVectors

Convert a set of text strings to numeric vectors

Function Resource: SignedVectorAngle

A version of VectorAngle for 2D vectors that can return negative angles

Function Resource: InversionVectorQ

Check if a list is the inversion vector of a permutation written as a list

Function Resource: BasisFromVector

Generate an orthonormal basis from a given 3D vector

Function Resource: ToInversionVector

Get the inversion vector of a permutation written as a list

Function Resource: RandomUnitVector

Generate random vectors in any dimension of unit length

Function Resource: FromInversionVector

Construct the permutation list corresponding to the given inversion vector

Function Resource: PolygonNormalVector

Compute the normal vector to a 3D polygon

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: PlotVector3D

Plot a list of vectors in space

Function Resource: DVectorField

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

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

Function Resource: SplitVectorValuedPiecewise

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

Function Resource: NormalSurface

Compute the normal surface of a curve

Data Resource: Galton Parent and Child Height Data

Height of father and mother, child gender and child height as adult for 205 families

Function Resource: UnitNormal

Compute the unit normal of a surface

Example Resource: Model Data to Diagnose Heart Disease

Clean, transform and visualize data to predict diagnoses

Function Resource: CanonicalBasis

Obtain the canonical bases for selected spaces of matrices and functions

Function Resource: Curvature

Compute the curvature of a curve

Function Resource: LinearCombination

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

Function Resource: BoolEval

Fast vectorized evaluation of array inequalities

Function Resource: BinetCauchyIdentity

Verifies the Binet–Cauchy algebraic identity in a given dimension

Function Resource: PerpendicularSurface

Compute the perpendicular surface of a curve

Function Resource: CurveTube

Convert a 3D curve into a parametrized tube

Function Resource: OsculatingPlane

Compute the osculating plane of a space curve

Function Resource: SeaShellSurface

Get the parametrization of a seashell surface

Function Resource: DirectionalDerivativePlot3D

Visualize the directional derivative in a 3D plot

Function Resource: IntersectionBasis

Find a basis for the intersection of subspaces

Function Resource: CurveToBSplineFunction

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

Function Resource: ColumnSpaceBasis

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

Function Resource: SVGImport

Import an SVG file as a graphics object

Neural Net Resource: GloVe 200-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: GloVe 25-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Neural Net Resource: GloVe 100-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Function Resource: BlochSpherePlot

Plot the Bloch sphere

Neural Net Resource: GloVe 50-Dimensional Word Vectors Trained on Tweets

Represent words as vectors

Function Resource: ManipulateParametricPlot3D

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

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06

Represent words as vectors

Function Resource: ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource: FlatTable

A flattened version of Table

Example Resource: Detect Rotating Objects in a Video

Apply vector field analysis on image displacements to capture video dynamics

Example Resource: Quantum State Visualization

Plot the Bloch vector or diagrammatic representation of a quantum state

Function Resource: PermutationExcedances

Get the indices of a permutation where the value of the element is larger than its index

Data Resource: Sample Image: Giraffe Graphic

Sample CMYK Image of a Giraffe

Function Resource: PermutationCountByInversions

Get the number of permutations having a specified length and number of inversions

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06 (Raw Model)

Represent words as vectors

Function Resource: ParetoListMinima

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

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: MultinormalKLDivergence

Compute the Kullback–Leibler divergence between two multinormal distributions

Neural Net Resource: GloVe 50-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Neural Net Resource: GloVe 100-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Neural Net Resource: GloVe 300-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data

Represent words as vectors

Function Resource: CirculantMatrix

Construct a circulant matrix from a vector

Function Resource: FiedlerMatrix

Construct a Fiedler matrix from a vector

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: AngleBetweenPlanes

Compute the angle between two planes in R^3

Function Resource: FirstFundamentalFormCoefficients

Compute the coefficients of the first fundamental form of a surface

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: InversionCount

Count the number of pairs of out-of-order elements in a permutation

Function Resource: RowSpaceBasis

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

Function Resource: MortalityConvert

Convert vector descriptions of mortality into another representation

Function Resource: LinearlyIndependent

Determine whether a set of vectors is linearly independent

Function Resource: SubspaceBasis

Find a basis for the subspace spanned by a list of vectors

Example Resource: Video Motion Field and Divergence Analysis

Compute and visualize the divergence of a motion field extracted from a video sequence

Paclet Resource: PeterBurbery/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

Function Resource: SameSpanQ

Determine whether two lists of vectors span the same subspace

Function Resource: JacobianMatrix

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

Function Resource: JacobianDeterminant

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

Function Resource: OrthogonalPolynomialVandermondeMatrix

Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector

Function Resource: MatrixPencilSolve

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

Function Resource: TensorPureFunction

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

Function Resource: SentenceBERTEmbedding

Compute a sentence embedding for a piece of text

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Function Resource: ManipulateParametricPlot

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

Function Resource: FindDistanceInstance

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

Function Resource: KernelSimilarity

Calculate the pairwise similarity between vectors or matrices using kernel functions

Paclet Resource: ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

Function Resource: ScalarPureFunction

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

Example Resource: Smooth the Boundary of a Region

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

Data Resource: Semantic Index of Wolfram Function Repository Documentation

SemanticSearchIndex of the documentation for Wolfram Function Repository submissions

Data Resource: Semantic Index of Stephen Wolfram's Writings Website

SemanticSearchIndex based on the full text from writings.stephenwolfram.com

Data Resource: Semantic Index of Wolfram Language Documentation

SemanticSearchIndex constructed from the complete text of the Wolfram Language documentation

Function Resource: KernelMatrixAlignment

Compute the alignment similarity between two matrices

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: RealEuclideanDistance

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

Paclet Resource: ZigangPan/DifferentialGeometricNonlinearControl

Some function implementations of differential geometric operators

Function Resource: ODEViewer

Dynamically visualize an ordinary differential equation (ODE) or system of ODEs

Example Resource: Axisymmetric Flow Driven by a Pressure Gradient in a Constricted Pipe

Compute and visualize transient axisymmetric viscous flow in a pipe with a narrowed middle section under a time-dependent pressure gradient

Paclet Resource: ZigangPan/NonlinearSystems

This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems

Example Resource: Listen to Pulsars

Generate audio that approximates the signal from a pulsar

Paclet Resource: ZigangPan/SystemofSystems

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

Neural Net Resource: Sketch-RNN Trained on QuickDraw Data

Generate hand-drawn sketches

Neural Net Resource: BERT Trained on BookCorpus and Wikipedia Data

Represent text as a sequence of vectors

Neural Net Resource: MiniLM V2 Text Feature Extractor

Represent text as a sequence of vectors

Neural Net Resource: NuNER-V2 Text Feature Extractor

Represent text as a sequence of vectors

Data Resource: H(8,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(10,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(6,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(10,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(6,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(8,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: ExtrudePolygon

Create 3D shapes from 2D polygons via extrusion along the z axis, or create 3D extrusions of 3D polygons along a 3D vector

Neural Net Resource: DistilBERT Trained on BookCorpus and English Wikipedia Data

Represent text as a sequence of vectors

Neural Net Resource: CLIP Multi-domain Feature Extractor

Represent words and images as vectors

Neural Net Resource: Clinical Concept Embeddings Trained on Health Insurance Claims, Clinical Narratives from Stanford and PubMed Journal Articles

Represent a clinical concept as a vector

Neural Net Resource: RoBERTa Trained on BookCorpus, English Wikipedia, CC-News, OpenWebText and Stories Datasets

Represent text as a sequence of vectors

Paclet Resource: ZigangPan/LinearSystems

This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems

Neural Net Resource: Pre-trained Distilled BERT Trained on BookCorpus and English Wikipedia Data

Represent text as a sequence of vectors

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

Represent words and images as vectors

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

Represent words and images as vectors

Neural Net Resource: CoCa Image Captioning Nets 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

Neural Net Resource: ResNet-101 for 3D Morphable Model Regression Trained on Casia WebFace Data

Represent a facial image as a vector

Neural Net Resource: OpenFace Face Recognition Net Trained on CASIA-WebFace and FaceScrub Data

Represent a facial image as a vector

Neural Net Resource: BPEmb Subword Embeddings Trained on Wikipedia Data

Represent words or subwords as vectors

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

Represent a facial image as a vector

Neural Net Resource: VGGish Feature Extractor Trained on YouTube Data

Represent sounds as a sequence of vectors

Neural Net Resource: ResNet-101 Trained on Augmented CASIA-WebFace Data

Represent a facial image as a vector

Neural Net Resource: BioBERT Trained on PubMed and PMC Data

Represent text as a sequence of vectors

Neural Net Resource: SciBERT Trained on Semantic Scholar Data

Represent text as a sequence of vectors

Neural Net Resource: D2-Net Trained on MegaDepth Data

Find generic keypoints and their feature vectors in an image

Data Resource: J(32,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(16,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(8,4,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(8,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Neural Net Resource: GPT Transformer Trained on BookCorpus Data

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

Neural Net Resource: GPT2 Transformer Trained on WebText Data

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

Neural Net Resource: CREPE Pitch Detection Net Trained on Monophonic Signal Data

Track the pitch of a monophonic signal

Function Resource: UnitMatrix

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

Neural Net Resource: CapsNet Trained on MNIST Data

Identify the handwritten digit in an image

Function Resource: SaturnView3D

3D graphic of Saturn oriented to match the tilt of the ring plane as seen from Earth

Neural Net Resource: PANet Text Detector Trained on ICDAR-2015 and CTW1500 Data

Detect and localize text in an image

Function Resource: CompassPoint

Returns a string with the closest (inter)cardinal direction

Function Resource: SubspaceAngle

Compute the angle between two subspaces

Function Resource: DirectionalD

Compute the directional derivative of a function

Function Resource: Protractor

Generate a graphical representation of a protractor

Function Resource: SlopeFieldQuiz

Generate a quiz to assess understanding of slope fields

Function Resource: RegularPolygonAngleRadius

Compute the polar radius of a regular polygon

Example Resource: Modeling Connectivity in Clustered Spatial Graphs

Simulate a clustered lily-pond network and estimate the size of the largest connected component

Function Resource: TensorDiagram

Display symbolic tensor expressions as a diagram

Example Resource: Manifold Learning from Numeric Data

Train a nonlinear dimension reducer to project the space defined by 3D numerical data to an approximating manifold

Example Resource: Visualize Distortions in the Mercator Projection

Use a grid of disks to illustrate size and shape distortions in the Mercator projection

Function Resource: EinsteinSummation

Given tensors and their indices, sum over repeated indices

Function Resource: ErikssonCornerAngle

Evaluate the multidimensional corner angle

Function Resource: GreatRedSpotData

Compute positional and observational timing data for the Great Red Spot on Jupiter

Function Resource: TrigDataset

Get trigonometric datasets including closed-form values

Example Resource: Planar Elastica Under a Concentrated End Load

Compute and visualize the large-deflection shape of a planar elastic rod subjected to a concentrated load using elliptic integrals

Example Resource: Deformation and Stress Fields in Pure Bending

Visualize the displacement, normal stress, and stored elastic energy produced by pure bending of an elastic bar

Function Resource: GalileanSatellitesPlot

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

Function Resource: TableQ

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

Example Resource: Wind Flow around the World

Construct geo stream plots of wind streamlines around the world

Function Resource: CurrentWeatherData

Get the current weather for a location

Function Resource: WeatherRegionPlot

Produce plots of weather properties over a geographic region

Example Resource: Stress and Displacement Analysis of an L-Shaped Elastic Body

Solve a plane strain elasticity problem and visualize the resulting displacements and stresses in an L-shaped domain

Example Resource: Finite Element Analysis of a Curved Elastic Arch under Traction

Model a curved elastic structure in plane stress and use shear strain to color the deformed configuration across load levels

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: Visualize3DView

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

Example Resource: Stress and Strain in a Fiber-Reinforced Rubber Block

Compute and visualize the strain and von Mises stress in a block of fiber-reinforced rubber under load