Wolfram/StylesheetTools
Utilities for creating and editing stylesheet notebooks
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844 items
WolframExternalFunctions/GSLLink
GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language
TheRealCStover/Trigonometry
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Strangeworks/Strangeworks
Allows Wolfram Mathematica users to submit quantum circuits to quantum hardware through the Strangeworks platform
RohanMehta/OpenChemicalSystems
Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework
JaneShenGunther/TCGADataTool
TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals
ArmandoCruz/ZeroKnowledgeProofs
Implementation of Zero Knowledge proof interactive and non-interactive protocols
AntonAntonov/TriesWithFrequencies
Functions for creation and manipulation of tries (prefix trees) with frequencies
FindLinearRecurrenceEquations
Find equations describing a linear recurrence corresponding to an input sequence
LinearConstraints
Determine the consistency equations required for a system of linear equations to have a solution
Linear Codes
Linear codes provide an optimal way for transmitting blocks of data over noisy channels
Schrödinger Equation for the Linear Harmonic Oscillator
Find the first few eigenvalues and eigenfunctions
The 192 Solutions of the Heun Equation
A compilation of the 192 solutions to the Heun differential equation
LinearFunctionQ
Determine whether an expression represents a linear function of a given set of variables
SolveEinsteinEquations
Determine whether a given stress-energy tensor (field) is a solution to the Einstein field equations
FindEquationalCounterexample
Try to find a counterexample to an equational hypothesis in a given system of axioms
FindEquationalPath
Find a path that goes from one expression to another with a sequence of replacements
Harrow–Hassidim–Lloyd (HHL) Algorithm
Numerically solve a system of linear equations using a quantum algorithm
SolveVacuumEinsteinEquations
Determine whether a given Riemannian or pseudo-Riemannian manifold is a solution to the vacuum Einstein field equations
SolveVacuumADMEquations
Determine whether a given ADM decomposition is a solution to the vacuum ADM equations
LorentzCoordinate2D
Generate the spatial and temporal coordinate information of a Lorentz-boosted causal graph
LinearDescriptionPlotQuiz
Generate an interactive graphical quiz on the plotting of linear functions
Triangle3DTo2D
Given a 3D triangle, return an equivalent 2D triangle along with a transformation function
ZigangPan/NonlinearSystems
This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems
ClickPoincarePlot2D
Create an interactive view of Poincaré sections of a two-degree-of-freedom Hamiltonian system
Cos2PiOverFermatPrime
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
ZigangPan/LinearSystems
This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems
Solve Poisson's Equation Over an Interactively Changing Region
Manipulate the boundary conditions interactively for a solution to Poisson's equation over a rectangle
Control a 2-DOF Helicopter Model
Model the pitch and yaw dynamics of a helicopter and stabilize them with respect to disturbances
Mauna Loa Weekly Atmospheric CO2 Concentration
Atmospheric CO2 concentration from continuous air samples at Mauna Loa Observatory
Famous 2D Cellular Automata
Well-known 2D cellular automata are listed, such as Conway’s Game of Life
UI Color Gradients
Community contributed collection of beautiful multi-color gradients from uiGradients
CaliforniaCOVID19Data
Generate datasets from California COVID-19 data released by the State of California
Wolfram/ConvertArXivTeXSource
Convert equations in an arXiv preprint from TeX to Wolfram Language expressions using LLM
Genetic Sequences for the SARS-CoV-2 Coronavirus
Nucleotide sequences of the SARS-CoV-2 virus (the virus associated with the COVID-19 disease, formerly known as 2019-nCoV) including location, collection time and similar supporting data
Protein Sequences for the SARS-CoV-2 Coronavirus
Protein sequences of the SARS-CoV-2 virus (the virus associated with the COVID-19 disease, formerly known as 2019-nCoV) including location, collection time and similar supporting data
CDC Primers for SARS-CoV-2 Research
Primers provided by the US Centers for Disease Control and Prevention (CDC) for identifying SARS-CoV-2 for research purposes, including the names, sequences, working concentration, and related information
Simulate Control of a Toy Train
Model the position of a toy train and use a tracking controller to stop at stations
SQuAD v2.0
A dataset for question answering and reading comprehension from a set of Wikipedia articles
Solve PDEs with Events over Regions
Model thermostat-controlled heat generation in a room with three insulated walls and a glass front
3D Facial Reconstruction from 2D Images
Use neural networks to estimate the shape of a face with unguided volumetric regression
VectorSubspaceQ
Determine if the span of one list of vectors is contained in the span of a second list of vectors
ZeckendorfRepresentation
Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input
Persistent Structures in the Code 20 Cellular Automaton
The known persistent structures in the k=2, r=2 totalistic code 20 cellular automaton
ButcherPrincipalError
Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods
GPTTokenizer
Tokenize an input string into a list of integers from a vocabulary that was originally used to train GPT nets
Model Energy Transport Dynamics
Solve Navier-Stokes equations coupled with a heat transfer equation over a rectangular region with cutout
Repurposing Therapeutics for COVID-19
Vina Docking scores for drug molecules with the S-protein of SARS-CoV-2 and human human ACE2 receptor
SQuAD v2.0 Tokens Generated with WL
A list of isolated words and symbols from the SQuAD dataset, which consists of a set of Wikipedia articles labeled for question answering and reading comprehension
ColorWinding
Find the number of times the domain coloring of a function wraps around the color wheel along a given curve
Cooling Effect of a Duct with a Cooling Liquid
Neumann heat flux values prescribe the flux over the boundary edge of an axisymmetric cross section of a pipe
Global and National Annual CO2 Emissions from Fossil Fuel Burning 1751-2014
Global and national annual CO2 emissions from fossil-fuel burning, cement manufacturing and gas flaring: 1751–2014 (in thousands of metric tons of carbon)
ButcherTreeData
Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings
DihedralODE
Find the ordinary differential equation constraining periods of certain symmetrical curves
NSolveByMonodromy
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
FrobeniusPiecewiseDSolve
Obtain an approximate solution to an ODE using the piecewise Frobenius method
Arbitrary Single Qubit Gate using L(4) Cluster State
Perform three equatorial measurements to a linear cluster state to obtain a general one qubit transformation
The 20-Task bAbI Question-Answering Dataset v1.2
A dataset for question answering and text understanding in both Hindi and English
ZigangPan/NonlinearCholeskyFactorization
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
Enhanced Super-Resolution GAN Trained on DIV2K, Flickr2K and OST Data
Increase the resoution of an image
Magnetic Potential inside an Electric Motor
Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem
GeometricAssertionForm
Print a human-readable form of a hypothesis in an abstract 2D geometric scene
ZigangPan/NonlinearCholeskyFactorizationMIMO
Nonlinear Cholesky Factorization for MIMO nonlinear systems
Atlantic Hurricane Data 1851-2017
A modification of the NOAA "Hurdat2" Dataset on Atlantic Hurricanes to facilitate use with the Wolfram Language
WallGo/WallGoMatrix
Computes 2-to-2 scattering matrix amplitudes for arbitrary quantum field theories
Solve a Nonlinear Model of Fluid Flow
Model the time-dependent flow around a cylinder with the transient Navier–Stokes equation
Discrete-Time Fourier Transform of a Moving-Average Filter
Obtain and visualize the frequency response of a 2D moving-average filter
NPseudoVoigt
Fast numerical approximation to the PDF of the Voigt distribution with around 1.2% of maximum deviation
CNOT Gate using Measurement-Based Quantum Computing
Implement a widely used 2 qubit gate with an alternative approach to quantum computation
Dynamics of Simple Harmonic Motion in a Mass-Spring System
Explore the mass-spring system from equations to animations
Search for the Hilda Family of Asteroids
The Hilda family of asteroids share an orbital period that is nearly 2/3 that of Jupiter
GPT2 Transformer Trained on WebText Data
Generate text in English and represent text as a sequence of vectors
SteenrodReduce
Evaluate products and sums of monomials in the Steenrod algebra for the prime 2 written in the Serre–Cartan basis
AggregationSystem
Evolve a 2D array of cells by randomly adding new cells at positions with certain neighborhood configurations
FindFanoPlaneIsomorphism
Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane
Standardize Audio Training Inputs
Transform audio signals into 2D power spectra for net training inputs using a custom audio encoder
Galactooligosaccharide Conformations
Generate and cluster conformations of galactooligosaccharides for 2D NMR or enzyme active site docking studies
Paleoclimate Data Records Derived from the Vostok Ice Core
Datasets of CO2 concentration and temperature historical records derived from the air and isotopes trapped in the ice core
Air Pollution and Mortality in the United States
Long-term average exposure to fine particulate matter PM2.5 correlated to US census data
GaltonBoardModel
Model ball trajectories in a 2D Galton board using Hertzian force laws between the ball and the pegs
PDE over a 3D Space Shuttle Region
Apply Finite Element method to solve PDEs over a 3D space shuttle region and visualize solutions
DefinitePencilReduce
Convert a Hermitian-definite matrix pencil into a matrix with the same eigenvalues
PeterBurbery/DimensionalAnalysis
A paclet for applications of dimensional analysis in physics and the engineering sciences
3D Face Alignment Net Trained on 300W Large Pose Data
Determine the 2D projection of 3D keypoints from a facial image
Coronavirus COVID-19 Pandemic Government Measures
Measures taken by governments from different countries to fight the coronavirus COVID-19 pandemic caused by the SARS-CoV-2
ELMo Contextual Word Representations Trained on 1B Word Benchmark
Represent words as contextual word-embedding vectors
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}
Unguided Volumetric Regression Net for 3D Face Reconstruction
Reconstruct a 3D facial image from a 2D facial image
2D Face Alignment Net Trained on 300W Large Pose Data
Determine the locations of keypoints from a facial image
MultiPerspectiveEmbedding
Compute a 3D embedding for multiple graphs so that all pairwise distances are preserved simultaneously along various 2D projections
MultiwayAggregationSystem
Simulate an aggregation system (a 2D array of cells in which new cells are added at positions with certain neighborhood configurations) as a multiway system
OpenCLIP Multi-domain Feature Extractor Trained on LAION-2B Data
Represent words and images as vectors
Single-Image Depth Perception Net Trained on NYU Depth V2 and Depth in the Wild Data
Estimate the depth map of an image
Primitive Polynomials
Primitive polynomials for Galois field generation up to GF(2^1200), GF(3^660), GF(5^430), and GF(7^358)
GeneralizedFiedlerMatrix
Generate the generalized Fiedler companion matrix of a univariate polynomial
Sample Data: Fisher's Cats
The heart and body weights of samples of male and female cats used for digitalis experiments. The cats were all adult, over 2 kg body weight.
ADMDecomposition
Represent a canonical decomposition of the metric for a Riemannian or pseudo-Riemannian manifold via the ADM formalism
StressEnergyTensor
Represent a stress-energy tensor (field) over a Riemannian or pseudo-Riemannian manifold
Sample Data: Pacific Walrus Haulouts
Congregations of Pacific walruses off the coast of U.S. and Russia, 1852-2016
WolframAlphaMath/SpecialFunctionsAndCalculus
Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more
DiagonalizeQuadratic
Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares
PolynomialHermiteDecomposition
Compute the Hermite decomposition of a matrix of univariate polynomials
AntonAntonov/MonadicSparseMatrixRecommender
A software monad for Sparse Matrix Recommender (SMR) workflows
NEigenvalueSumGradient
Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters
LatinSquare
Generate a matrix from a list such that no row or column contains the same element twice
ExtrudePolygon
Create 3D shapes from 2D polygons via extrusion along the z axis, or create 3D extrusions of 3D polygons along a 3D vector
ExtendedLatticeReduce
Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis
ExtrinsicCurvatureTensor
Represent the extrinsic curvature tensor field for a Riemannian submanifold
ExtendedGroebnerBasis
Compute a Groebner basis and a conversion matrix from the input polynomials to the basis
FirstOrderCorrelation
Compute the first order correlation matrix from an original correlation matrix
TensorIndexJuggling
Given a metric, convert between covariant and contravariant components of a tensor
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
FindDistanceInstance
Find an instance of n-dimensional vectors that produce a specified distance matrix
BezierInterpolatingControlPoints
Compute the control points of a Bézier curve that interpolates a given set of points
BuildBioSequenceBondListFromFoldingMatrix
Construct all potential bond lists from a folding matrix associated with a biomolecular sequence
GloVe 50-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data
Represent words as vectors
GloVe 100-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data
Represent words as vectors
GloVe 300-Dimensional Word Vectors Trained on Wikipedia and Gigaword 5 Data
Represent words as vectors
Clinical Concept Embeddings Trained on Health Insurance Claims, Clinical Narratives from Stanford and PubMed Journal Articles
Represent a clinical concept as a vector
ZigangPan/SystemofSystems
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
Japanese-English Subtitle Corpus
A parallel corpus for machine translation systems, information extraction and other language processing techniques
Languoid EntityStore
Entity store with information about languages, dialects and families of the world (‘languoids’) and their genealogical classification
Raw Data For The Long Term Selection Experiment For Oil And Protein In Corn
Raw data from each ear analyzed each year of the Illinois long-term selection experiment for oil and protein in corn (1896-2004)
Europarl English-French Machine Translation Dataset V7
A parallel corpus for machine translation from the proceedings of the European Parliament
OrthogonalPolynomialVandermondeMatrix
Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector
Hadley Center Central England Temperature (HadCET) Dataset
The CET dataset is the longest instrumental record of temperature in the world.
Inception V1 Trained on Extended Salient Object Subitizing Data
Count the number of prominent items in an image
HUD Location Affordability Index
The Location Affordability Index gives estimates of the percentage of a family's income dedicated to the combined cost of housing and transportion in a given location.
Nocturnal Jet Wind Profiles Measured with WiPPR
Measurements of vertical wind profiles measured at night in the Arizona desert using a high dynamic range, Ka band radar
KSetPartitions
Give all possible ways to partition a set into a given number of subsets, ignoring order of blocks and within blocks
SetPartitions
Give all possible ways to partition a set into blocks, ignoring the order of blocks and order within blocks
HumanMethylation450 BeadChip
Genomic coordinates relative to the CpG loci identifiers for Infinium HumanMethylation450 BeadChip
GenerationalMultiwaySystem
Compute the evolution of a generational multiway system and many associated properties
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
Channel-Separated Video Action Classification Net Trained on Kinetics-400 Data
Identify the main action in a video
AbstractQuiver
Make an abstract model of a quiver (i.e. a directed multigraph) that forms the basis of an abstract category
AbstractCategory
Make an abstract model of a category (i.e. a collection of objects and morphisms obeying associativity and identity axioms)
QuantileRegression
Compute quantile regression fits over a time series, a list of numbers or a list of numeric pairs
OpenCLIP Multi-domain Feature Extractor Trained on DataComp-1B Data
Represent words and images as vectors
ListGlocalBranchialGraph
Generate a graph of branch pair ancestry for a list substitution "glocal" (hybrid of global and local) multiway system
ListGlocalMultiwaySystem
Simulate the evolution of a list substitution system as a "glocal" (hybrid of global and local) multiway system
WolframModelGlocalMultiwaySystem
Simulate the evolution of a Wolfram model system as a "glocal" (hybrid of global and local) multiway system
GroupToCombinator
Create combinator expressions for each element of a specified group, as well as the group's operation
WolframModelGlocalBranchialGraph
Generate a graph of branch pair ancestry for a Wolfram model "glocal" (hybrid of global and local) multiway system
StringGlocalBranchialGraph
Generate a graph of branch pair ancestry for a string substitution "glocal" (hybrid of global and local) multiway system
CanonicalKnuthBendixCompletion
Compute the canonical Knuth-Bendix completion for a given multiway system
StringGlocalMultiwaySystem
Simulate the evolution of a string substitution system as a "glocal" (hybrid of global and local) multiway system
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
FindWolframModelProof
Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system
TuringMachineGlocalBranchialGraph
Generate a graph of branch pair ancestry for a nondeterministic Turing machine "glocal" (hybrid of global and local) multiway system
TuringMachineGlocalMultiwaySystem
Simulate the evolution of a nondeterministic Turing machine as a "glocal" (hybrid of global and local) multiway system
AbstractPullback
Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category
AbstractStrictMonoidalCategory
Make an abstract model of a category equipped with a strictly associative and unital tensor product structure
AbstractFunctor
Make an abstract model of a functor (i.e. a homomorphism between abstract categories)
AbstractProduct
Represent the abstract product of an arbitrary collection of objects in an abstract category
AbstractCoproduct
Represent the abstract coproduct of an arbitrary collection of objects in an abstract category
AbstractPushout
Represent the abstract pushout of a collection of morphisms with common domain in an abstract category
HyperDet
Compute the hyperdeterminant for a given hypermatrix (a multidimensional array of complex numbers)
Sample Tabular Data: Diamonds
A dataset containing the prices and other attributes of almost 54,000 diamonds
BLIP Visual Question Answering Nets Trained on VQA Data
Generate an answer to a question given an image
The Birth of Tragedy Out of the Spirit of Music
Plaintext for Friedrich Nietzsche's "The Birth of Tragedy Out of the Spirit of Music"
FiniteDifferenceStencil
Compute the finite difference stencil for a specified set of variables and their derivatives
US City Trees 2022
A dataset of 5 million city trees from 63 US cities: species, location, nativity status, health, and more
CombinatorGlocalMultiwaySystem
Simulate the evaluation of a combinator expression as a "glocal" (hybrid of global and local) multiway system
CombinatorGlocalBranchialGraph
Generate a graph of branch pair ancestry for a combinator evaluation "glocal" (hybrid of global and local) multiway system
MultiwayFunctionSystem
Compute the evolution of a multiway system based on function evaluation over the integers
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"
CenterNet Pose Estimation Nets Trained on MS-COCO Data
Detect and localize human joints and objects in an image
BLIP Image-Text Matching Nets Trained on Captioning Datasets
Find the similarity score between a text and an image
LawrenceWinkler/MatrixDecomposition
Various simple matrix decompositions algorithms and support functions
Sample Tabular Data: Fuel Economy
Fuel economy data for years 1999 and 2008 for 38 popular models of cars
FindCombinatorProof
Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus
Distinguish Daytime from Nighttime Pictures
Train a simple classifier to distinguish daytime photos from nighttime ones
Train an Age Estimation Network
Use surgery functionality to train a net from the Wolfram Neural Net Repository
NewtonCompanionMatrix
Generate the companion matrix for the Newton interpolating polynomial of a given set of points
Classify Pollen Images Using Neural Nets
Use image feature extraction and neural networks to classify pollen samples of different flowers
CrossValidateModel
Check the quality of a data fitting model by splitting the data into test and validation sets multiple times
The 2016 Atomic Mass Evaluation (AME2016)
Atomic mass list for analysis which contains the elements, mass excess, binding energy, beta-decay energy, atomic mass and more
TransversalHypergraph
Compute the transversal hypergraph of a hypergraph defined by a list of hyperedges and isolated vertices
Sample Data: Employee Attitude Survey
Employee attitude data for 30 departments in a large financial organization
NuIDDecode
Generate the oligonucleotide sequence corresponding to a given nucleotide universal identifier (nuID)
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
Sample Data: Paracou Kimboto Trees
Locations of Kimboto trees at Paracou in French Guiana, annotated with adult/juvenile marks
FirstFundamentalFormCoefficients
Compute the coefficients of the first fundamental form of a surface
CircularWaveguideProperties
Compute the propagation mode properties of a circular electromagnetic waveguide
PointsetDerivativeRoots
Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points
ToAlBhedString
Translate a string from Latin or Hiragana to Al Bhed, the cipher language from the game “Final Fantasy X”
FromAlBhedString
Translate a string from Al Bhed, the cipher language from the game Final Fantasy X, to Latin or hiragana
Sample Data: Breakdown Spots R423
Locations of electrical breakdown spots on a circular electrode of radii 423 microns in a microelectronic capacitor
Sample Data: Breakdown Spots R282
Locations of electrical breakdown spots on a circular electrode of radii 282 microns in a microelectronic capacitor
Sample Data: Breakdown Spots R169
Locations of electrical breakdown spots on a circular electrode of radii 169 microns in a microelectronic capacitor
United States Supreme Court Decisions 1946-present
Datasets relating to Supreme Court cases from 1946 to present
WelchSpectralEstimate
Fast numerical estimation of the power spectral density or the cross spectral density
PaduaInterpolation
Construct an interpolating polynomial approximation of a function using the Padua points
MonotonicInterpolation
Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data
BanzhafPowerIndex
Compute the strength of a voter by reference to the frequency with which their vote could change the outcome of an election
ScalarPureFunction
Get a pure function whose argument is a vector for a given multivariable scalar function
ModifiedGaussianQuadratureWeights
Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature
Machine Learning-Based Classification of β-Thalassemia Severity Levels
Classify β-Thalassemia severity levels based on hemoglobin variant patterns
DistinctCompactBinaryHuffmanCode
Generate a tree or an association with properties for non-equivalent compact binary Huffman codes
MonteCarloSample
Sample from a probability density function using the Markov chain Monte Carlo (MCMC) method
RadialDistributionFunctionList
Compute the relative probability of finding a point at a given distance from another point
EpidemicModel
Generate an interactive tool for visualizing various compartment-based epidemiological models
SubstitutionSystemCausalPlot
Generate a plot illustrating causal features of substitution system evolution