Wolfram Resource System

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158 items

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/IsomerGeneration

Generate Isomers from Chemical Formulas

Paclet Resource:   WolframAlphaMath/AreaMethod

A Wolfram Language implementation of the area method for geometry

Paclet Resource:   TheRealCStover/Trigonometry

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

Paclet Resource:   StianRamsnes/MaXrd

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

Paclet Resource:   PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource:   KlausSutner/Automata

Automata theory package

Function Resource:   ProductIntegrate

Evaluate the product integral of a function

Function Resource:   GeometricProgression

Produce a set of values in geometric progression

Function Resource:   ChoquetIntegral

Compute numerically the Choquet integral of a function with respect to a probability distribution

Function Resource:   GeometricSolve

Solve for a given quantity in a geometric scene

Function Resource:   MatrixGeometricMean

Compute the geometric mean of two matrices

Function Resource:   ArcLengthIntegral

Generate an inactive integral or sum of integrals used for computing the arc length of an expression with given bounds

Function Resource:   GeometricTranslationQuiz

Generate a quiz to assess understanding of geometric translations

Function Resource:   GeometricRotationQuiz

Generate a quiz to assess understanding of geometric rotations

Function Resource:   GeometricReflectionQuiz

Generate a quiz to assess understanding of geometric reflections

Function Resource:   GeometricSceneConstructor

Create an interface for constructing a GeometricScene

Function Resource:   ArcTanIntegral

Evaluate the inverse tangent integral

Function Resource:   GeometricAssertionForm

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

Function Resource:   GeometricTransformationQuiz

Generate a quiz to assess understanding of geometric transformations

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

Paclet Resource:   Wolfram/GeometricAlgebra

Computational tools for Geometric Algebras

Function Resource:   IntegralApproximationPlot

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

Function Resource:   NumericalIntegralApproximation

Determine the value of an integral using a numerical method

Function Resource:   InactiveRiemannSumToIntegral

Determine an integral corresponding to a Riemann sum

Function Resource:   AreaBetweenCurvesIntegral

Compute the integral describing the area between two plane curves

Paclet Resource:   AntonAntonov/MonadicGeometricNearestNeighbors

Software monad for Geometric Nearest Neighbors workflows

Paclet Resource:   ZigangPan/DifferentialGeometricNonlinearControl

Some function implementations of differential geometric operators

Function Resource:   IntegralApproximationPlot3D

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

Paclet Resource:   WolframAlphaMath/SpecialFunctionsAndCalculus

Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more

Paclet Resource:   Wolfram/GeometricModels

Collection of parameterized solid models for CAD applications

Example Resource:   Keypoints for a Projective Transformation

Use ORB keypoint descriptors to compute an image transformation

Function Resource:   EpsteinHubbellOmega

Evaluate the Epstein–Hubbell integral

Function Resource:   FractionalIntegrate

Calculate fractional integrals

Function Resource:   InversionTransform

Generate a geometric transformation function for inversion about a point

Function Resource:   NielsenG

Evaluate the Nielsen function G

Function Resource:   NielsenF

Evaluate the Nielsen function F

Function Resource:   Triangle3DTo2D

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

Function Resource:   BulirschEL

Evaluate Bulirsch's general incomplete elliptic integral

Function Resource:   BulirschEL1

Evaluate Bulirsch's incomplete elliptic integral of the first kind

Function Resource:   BulirschEL3

Evaluate Bulirsch's incomplete elliptic integral of the third kind

Function Resource:   BulirschEL2

Evaluate Bulirsch's incomplete elliptic integral of the second kind

Function Resource:   ReflectPoints

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

Function Resource:   BulirschCEL

Evaluate Bulirsch's general complete elliptic integral

Function Resource:   LogSymmetricPolynomial

Calculate the log of an elementary symmetric polynomial

Function Resource:   LensManipulate

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

Function Resource:   MirrorManipulate

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

Function Resource:   QuadraticTransformationQuiz

Generate a quiz to assess understanding of geometrical transformations of quadratics

Function Resource:   CubicTransformationQuiz

Generate a quiz to assess understanding of geometrical transformations of cubics

Function Resource:   RiemannSum

Compute information related to a Riemann sum

Function Resource:   ComplementaryAngle

Compute the geometric complement to a given angle

Function Resource:   SupplementaryAngle

Compute the geometric supplement to a given angle

Function Resource:   LinearTransformationQuiz

Generate a quiz to assess understanding of linear transformations

Function Resource:   IntegrateRational

Compute the indefinite integral of a rational function

Function Resource:   Erfci

Evaluate the integral of the complementary error function

Function Resource:   GeothmeticMeandian

Calculate the geothmetic meandian of a list of numbers

Function Resource:   NewtonCotesWeights

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

Function Resource:   FejerQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Fejér quadrature

Function Resource:   ProductD

Evaluate the product derivative of a function

Function Resource:   HeumanLambda

Evaluate the Heuman lambda function

Function Resource:   ImageShapeMorph

Morph an image from one shape into another

Function Resource:   ExtractGraphicsPrimitives

Extract the underlying graphical primitives from plots and graphics

Function Resource:   CoordinationMoleculeStereochemistry

Determine the configuration of stereoisomers

Function Resource:   SupplementaryAngleDegree

Compute the geometric supplement to a given angle using degrees

Function Resource:   ComplementaryAngleDegree

Compute the geometric complement to a given angle using degrees

Function Resource:   ThickLensManipulate

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

Function Resource:   GaussianQuadratureError

Find the error in the Gaussian quadrature approximation of a function’s integral

Function Resource:   GaussianQuadratureMatrix

Symmetric tridiagonal matrix for Gaussian quadrature

Function Resource:   NInverseLaplaceTransform

Find the numerical approximation for the inverse Laplace transform

Function Resource:   ClenshawCurtisQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Clenshaw-Curtis quadrature

Function Resource:   InverseEllipticE

Evaluate the inverse function of EllipticE

Function Resource:   IntegrateAlgebraic

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

Function Resource:   FractionalBrownianMotion2D

Generate a fractional Brownian surface

Function Resource:   NewtonCotesError

Find the error in the Newton–Cotes quadrature formula

Function Resource:   GaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for Gaussian quadrature

Function Resource:   FaddeevaW

Evaluate the Faddeeva function

Example Resource:   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

Function Resource:   DirectedAcyclicEvaluate

Evaluate functions locally over any directed acyclic graph

Example Resource:   Keypoint-Based Video Stabilization

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

Function Resource:   RayTransferMatrix

Calculate the ray transfer matrix of a Gaussian optical system

Function Resource:   NDerivative

Find a numerical approximation to a function derivative near the specified point

Function Resource:   Cartogram

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

Function Resource:   ClausenCl

Evaluate the Clausen function

Function Resource:   SequenceToSum

Turn a sequence of expressions into a symbolic sum

Function Resource:   PolyhedronCanonicalForm

Generate the canonical form of a convex polyhedron

Function Resource:   SequenceToProduct

Turn a sequence of expressions into a symbolic product

Function Resource:   ModifiedGaussianQuadratureWeights

Get a numerically sorted list of abscissa-weight pairs for various modifications of Gaussian quadrature

Function Resource:   TetrahedronEdgeAngles

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

Function Resource:   ApproximatedSurface

Approximate a parametric surface with different graphics primitives

Function Resource:   GergonnePoint

Return the Gergonne point of a triangle

Function Resource:   TriangleEdgeAngles

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

Function Resource:   Monge

Return the Monge point and six midplanes of a tetrahedron

Function Resource:   MeijerGForm

Convert a mathematical expression into an equivalent expression with head MeijerG

Function Resource:   FoxHForm

Convert a mathematical expression into an equivalent expression with head FoxH

Function Resource:   LatticeUnitCellPlot3D

Display specific unit cells in a 3D lattice

Function Resource:   ProjectGraphics3D

Project 3D graphics onto a plane

Function Resource:   RibbonPolyhedron

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

Function Resource:   CoordinateVector

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

Function Resource:   LucasCircles

Get the three Lucas circles of a given triangle

Function Resource:   PolyhedronFaceReflect

Reflect a polyhedron over a given face

Function Resource:   FractionalOrderD

Compute the fractional derivative of an expression

Function Resource:   MoleculePrincipalMomentPlot

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

Function Resource:   SignedArea

Compute the signed area of a polygon

Function Resource:   BarycentricCoordinates

Find the barycentric coordinates of a point

Function Resource:   RealEuclideanDistance

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

Function Resource:   QuadricPlot3D

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

Function Resource:   InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

Function Resource:   SphericAnamorphosisMap

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

Function Resource:   RelativisticInertialDeformedRegion

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

Function Resource:   PeriodicBoxDistance

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

Function Resource:   DiscreteHausdorffDistance

Find the Hausdorff distance between two sets of elements

Function Resource:   TriangleEdgesQ

Test if three given lengths make a triangle

Function Resource:   QuaternionToRotationMatrix

Convert a unit quaternion to an equivalent rotation matrix

Function Resource:   IteratedAffinePlot

Plot polygons after iteratively applying a translation, scaling and rotation

Function Resource:   FromTensor

Convert TensorContract expressions into an equivalent form using Dot and Tr

Function Resource:   EinsteinSummation

Given tensors and their indices, sum over repeated indices

Function Resource:   AxisAngle

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

Function Resource:   TensorIndexJuggling

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

Function Resource:   BoundaryElementMeshTranslate

Translate a boundary element mesh

Function Resource:   ProjectionMatrix

Compute the projection matrix for a given vector space

Function Resource:   SchmidtArrangements

Generate Schmidt arrangements of circles

Function Resource:   CayleyMengerMatrix

Evaluate the Cayley-Menger matrix of a simplex

Function Resource:   TensorCoordinateTransform

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

Function Resource:   LSystem

Generate an L-system

Function Resource:   ConicSectionPlot

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

Function Resource:   RandomRotationQuaternion

Return uniformly distributed random rotations in quaternion form

Function Resource:   ModularTessellation

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

Paclet Resource:   ZigangPan/NonlinearCholeskyFactorization

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

Paclet Resource:   AntonAntonov/ReliabilityTools

Reliability-related algorithms and tools

Paclet Resource:   ZigangPan/NonlinearSystems

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

Paclet Resource:   AntonAntonov/SoftwareDesignMethodsWithWLBook

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

Paclet Resource:   AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource:   ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Function Resource:   DigitalSpiral

Arrange a number into a spiral

Function Resource:   IntegerSpectralBasis

Obtain a spectral basis of a modular number system

Function Resource:   IntegerSpectralDecomposition

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

Function Resource:   RandomRorschach

Generate random Rorschach tests

Function Resource:   HarmonicQuadrilaterals

Generate three cyclic harmonic quadrangles from a reference triangle

Function Resource:   VertexArc

Graphics primitive for the arc of a polygon vertex

Function Resource:   KurepaK

Evaluate the Kurepa function

Function Resource:   SqrtSpace

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

Data Resource:   Steiner Surfaces

Classification of Steiner Surfaces

Function Resource:   RotationMatrixToQuaternion

Convert a rotation matrix to an equivalent unit quaternion

Function Resource:   PrincipalCurvatures

Compute the principal curvatures of a surface

Function Resource:   MeanCurvature

Compute the mean curvature of a surface

Function Resource:   CubicSplineCurve

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

Function Resource:   Mediant

Compute the mediant of a list of non-negative rationals

Function Resource:   DixonResultant

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

Example Resource:   Transform a Region Using Image Processing Filters

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

Function Resource:   WeightedDistanceGraph

Given vertices, get a complete graph with edge weights equal to edge lengths

Function Resource:   PercusYevickRDF

Evaluate the radial distribution function for a fluid of hard spheres

Function Resource:   BickleyKi

Evaluate the Bickley function

Function Resource:   SalzerPiessensInversionWeights

Get a list of abscissas and weights for the numerical inverse Laplace transform

Function Resource:   RicciScalar

Compute the Ricci scalar for a metric

Function Resource:   RicciCurvature

Compute the components of the Ricci curvature for a metric

Function Resource:   Biarc

Generate a biarc through two points

Function Resource:   EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Function Resource:   RadicalInverse

Compute the radical inverse of an integer to a given base