Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

  Wolfram/CommandLineParser

Parser for command line arguments

  WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

  WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

  Taggar/GERF

GERF expansion technique in Mathematica

  StianRamsnes/MaXrd

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

  Obando/CAGenetics

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

  KlausSutner/Automata

Automata theory package

  JanM/Dixon

The Dixon elliptic functions in Mathematica

  ArmandoCruz/ZeroKnowledgeProofs

Implementation of Zero Knowledge proof interactive and non-interactive protocols

  AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

  AntonAntonov/FunctionalParsers

Functional parsers

  AntonAntonov/DSLTranslation

Translation of natural language commands to code

  GeometricTransformationQuiz

Generate a quiz to assess understanding of geometric transformations

  QuadraticTransformationQuiz

Generate a quiz to assess understanding of geometrical transformations of quadratics

  CubicTransformationQuiz

Generate a quiz to assess understanding of geometrical transformations of cubics

  LinearTransformationQuiz

Generate a quiz to assess understanding of linear transformations

  GeometricTranslationQuiz

Generate a quiz to assess understanding of geometric translations

  GeometricRotationQuiz

Generate a quiz to assess understanding of geometric rotations

  GeometricReflectionQuiz

Generate a quiz to assess understanding of geometric reflections

  Keypoints for a Projective Transformation

Use ORB keypoint descriptors to compute an image transformation

  InversionTransform

Generate a geometric transformation function for inversion about a point

  Triangle3DTo2D

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

  GeometricProgression

Produce a set of values in geometric progression

  GeometricSolve

Solve for a given quantity in a geometric scene

  ReflectPoints

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

  MatrixGeometricMean

Compute the geometric mean of two matrices

  GeometricSceneConstructor

Create an interface for constructing a GeometricScene

  GeometricAssertionForm

Print a human-readable form of a hypothesis in an abstract 2D geometric scene

  Jlaragonvera/CGAlgebra

Calculations on conformal geometric algebra

  Wolfram/GeometricAlgebra

Computational tools for Geometric Algebras

  ImageShapeMorph

Morph an image from one shape into another

  AntonAntonov/MonadicGeometricNearestNeighbors

Software monad for Geometric Nearest Neighbors workflows

  ZigangPan/DifferentialGeometricNonlinearControl

Some function implementations of differential geometric operators

  AntonAntonov/MonadicEventRecordsTransformations

A software monad for transformation of event records

  Keypoint-Based Video Stabilization

Use keypoints and estimate geometric transformations between video frames to stabilize a video

  ChristopherWolfram/GEOSGeometry

Fast geometric computation with GEOS

  Fisheye Effect for Audio Signals via STFT Transformation

Use the short-time Fourier transform to apply fisheye effects

  Hermitian into Unitary Transformation

Use the parameter-shift rule to implement a unitary gate corresponding to an operator

  Wolfram/GeometricModels

Collection of parameterized solid models for CAD applications

  TensorCoordinateTransform

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

  Basis Transformation of Quantum States

  ComplexTransformImage

Add a complex transformation to an image

  Build a Vocoder Using STFT Transformations

Impose the spectral envelope of a modulator signal onto a carrier

  ModularTessellation

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

  SchmidtArrangements

Generate Schmidt arrangements of circles

  TensorIndexJuggling

Given a metric, convert between covariant and contravariant components of a tensor

  SequenceLimit

Numerically estimate the limit of a sequence of values

  Symbolic Computation for Quantum States

Compute measurements, transformations and more symbolically

  Pack Circles in the Smallest Square

Find circles that fit inside a square without overlap and visualize the resulting layout

  LevinSum

Evaluate an infinite sum using the Levin transformation

  WenigerSum

Evaluate an infinite sum using the Weniger transformation

  LensManipulate

Generate a graphic in which the thin-lens parameters can be manipulated dynamically

  MirrorManipulate

Generate a graphic of a ray diagram in which the circular mirror parameters can be manipulated dynamically

  RuleReverse

Reverse a Rule or RuleDelayed expression

  FoliationClass

Generate the foliation set from a causal graph

  LorentzCoordinate2D

Generate the spatial and temporal coordinate information of a Lorentz-boosted causal graph

  SimpleCausalGraphCoordinates

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

  ComplementaryAngle

Compute the geometric complement to a given angle

  SupplementaryAngle

Compute the geometric supplement to a given angle

  GridSampleLayer

Define a neural net layer for image transformation based on input and index grids

  GeothmeticMeandian

Calculate the geothmetic meandian of a list of numbers

  ProductD

Evaluate the product derivative of a function

  CombinatorEvolutionGraph

Visualize the state transformations and causal structure of a combinator evolution

  TransformTabular

Transform simultaneously all columns of a tabular or a selection of them

  FoataTransform

Convert a permutation into one whose number of descents equals the number of excedances in the original

  InverseFoataTransform

Convert a permutation into one whose number of excedances equals the number of descents in the original

  ProductIntegrate

Evaluate the product integral of a function

  ExtractGraphicsPrimitives

Extract the underlying graphical primitives from plots and graphics

  CoordinationMoleculeStereochemistry

Determine the configuration of stereoisomers

  SupplementaryAngleDegree

Compute the geometric supplement to a given angle using degrees

  ComplementaryAngleDegree

Compute the geometric complement to a given angle using degrees

  ThickLensManipulate

Generate a graphic in which the thick-lens parameters can be manipulated dynamically

  StratonovichProcessChangeVariables

Perform a change of state variables for a Stratonovich stochastic process

  Find the Gap in a CT Scan of a Spine

Use the image processing and geometric computation frameworks to find the gap in an image

  FractionalBrownianMotion2D

Generate a fractional Brownian surface

  MultiwayDeletionsGraph

Explore graph traversals while deleting visited components

  Jlaragonvera/BasicCliffordAlgebra

Paclet to resolve operations with basic Clifford Algebra operations

  NucleicAcidBasePairParameters

Compute the rigid-body geometric parameters for a pair of nucleic acid residues in a biomolecule

  Interleave

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

  ColorWinding

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

  RayTransferMatrix

Calculate the ray transfer matrix of a Gaussian optical system

  Analyzing Coin Toss Experiments with Discrete Distributions

Simulate fair and biased coin tosses to study different discrete distributions

  MatrixAugmentRight

Augment a matrix on the right by extending each row with a corresponding entry from a list or with a constant

  MatrixAugmentLeft

Augment a matrix on the left by prepending each row with a corresponding entry from a list or with a constant

  ODENormalForm

Transform a differential equation into normal form

  SphericAnamorphosisMap

Convert a point reflected in a spherical mirror to its spherical anamorphosis map in a plane parallel to the xy-plane

  ExtrudePolygon

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

  Cartogram

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

  ItoProcessChangeVariables

Perform a state variable change for an Ito stochastic process

  SequenceToSum

Turn a sequence of expressions into a symbolic sum

  CoordinateMappingData

Calculate characteristic properties for a generalized mapping between two coordinate systems

  LinearlyIndependent

Determine whether a set of vectors is linearly independent

  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

  PolyhedronCanonicalForm

Generate the canonical form of a convex polyhedron

  SequenceToProduct

Turn a sequence of expressions into a symbolic product

  TetrahedronEdgeAngles

Given edge lengths of a tetrahedron, return the dihedral angles opposite those edges

  ApproximatedSurface

Approximate a parametric surface with different graphics primitives

  GergonnePoint

Return the Gergonne point of a triangle

  TriangleEdgeAngles

Given edge lengths of a triangle, return the angles opposite those edges

  Monge

Return the Monge point and six midplanes of a tetrahedron

  Steiner Surfaces

Classification of Steiner Surfaces

  IteratedAffinePlot

Plot polygons after iteratively applying a translation, scaling and rotation

  LatticeUnitCellPlot3D

Display specific unit cells in a 3D lattice

  ProjectGraphics3D

Project 3D graphics onto a plane

  RibbonPolyhedron

Display the set of polygons obtained by extending polyhedron edges perpendicularly inward by a given distance

  GaussianHessenbergDecomposition

Compute the Gaussian Hessenberg decomposition of a matrix

  FerrersVennDiagram

Generate a Venn-like diagram to compare the Ferrers diagrams of two integer partitions

  PseudoConjugatePartition

Compute the pseudo-conjugate of an integer partition

  Wolfram/CodeEquivalenceUtilities

Utilities for testing code equivalence

  Nullity

Compute the nullity of a matrix

  CoordinateVector

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

  LucasCircles

Get the three Lucas circles of a given triangle

  PolyhedronFaceReflect

Reflect a polyhedron over a given face

  MoleculePrincipalMomentPlot

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

  SignedArea

Compute the signed area of a polygon

  RealEuclideanDistance

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

  QuadricPlot3D

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

  InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

  RelativisticInertialDeformedRegion

Compute the apparent visual shape of an object or region traveling with constant velocity

  PeriodicBoxDistance

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

  DiscreteHausdorffDistance

Find the Hausdorff distance between two sets of elements

  TriangleEdgesQ

Test if three given lengths make a triangle

  FromTensor

Convert TensorContract expressions into an equivalent form using Dot and Tr

  EinsteinSummation

Given tensors and their indices, sum over repeated indices

  AxisAngle

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

  BoundaryElementMeshTranslate

Translate a boundary element mesh

  DigitalSpiral

Arrange a number into a spiral

  ExpressionTransform

Construct and aggregate subexpressions with descending and ascending operators

  ProjectionMatrix

Compute the projection matrix for a given vector space

  CayleyMengerMatrix

Evaluate the Cayley-Menger matrix of a simplex

  TraceTree

Generate a tree of all expressions in an evaluation chain

  TraceGraph

Generate a graph of all expressions in an evaluation chain

  LSystem

Generate an L-system

  ConicSectionPlot

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

  RandomRotationQuaternion

Return uniformly distributed random rotations in quaternion form

  RandomRorschach

Generate random Rorschach tests

  ZigangPan/NonlinearCholeskyFactorization

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

  AntonAntonov/ReliabilityTools

Reliability-related algorithms and tools

  AntonAntonov/SoftwareDesignMethodsWithWLBook

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

  ZigangPan/NonlinearSystems

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

  AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

  ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

  ZigangPan/SystemofSystems

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

  ZigangPan/MRRACLinearFullOrder

Model reference robust adaptive control design for MIMO LTI systems

  ComplexMapVisualization

Visualize the behavior of conformal mappings in the complex plane

  IntegerSpectralBasis

Obtain a spectral basis of a modular number system

  IntegerSpectralDecomposition

Determine the spectral decomposition of an integer in a modular number system

  Sample Data: Water Boiling Points in the Alps

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

  HarmonicQuadrilaterals

Generate three cyclic harmonic quadrangles from a reference triangle

  VertexArc

Graphics primitive for the arc of a polygon vertex

  SqrtSpace

Move back and forth from the squared space or square root space of an algebraic number field

  RotationMatrixToQuaternion

Convert a rotation matrix to an equivalent unit quaternion

  PrincipalCurvatures

Compute the principal curvatures of a surface

  MeanCurvature

Compute the mean curvature of a surface

  BulirschCEL

Evaluate Bulirsch's general complete elliptic integral

  CubicSplineCurve

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

  Brouwer's Fixed Point Theorem on a Square

Find fixed points in topological mappings

  FactorialSeriesExpansion

Expand a function into a factorial series

  BulirschEL3

Evaluate Bulirsch's incomplete elliptic integral of the third kind

  DixonResultant

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

  Transform a Region Using Image Processing Filters

Convert a 3D region into a 3D image, deform and transform it back to the mesh region

  Mediant

Compute the mediant of a list of non-negative rationals

  Stitching of Microscope Images

Obtain the entire image of a larger specimen by stitching images together

  RicciScalar

Compute the Ricci scalar for a metric

  RicciCurvature

Compute the components of the Ricci curvature for a metric

  Biarc

Generate a biarc through two points

  BulirschEL

Evaluate Bulirsch's general incomplete elliptic integral

  Create a Slow Motion Video with Optical Flow

Interpolate between existing image frames to create a slow motion sequence

  AntonAntonov/DataReshapers

Data reshaping functions

  Anthropogenic Biome

Illustrating anthropogenic biomes of the world