Wolfram Resource System

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65 items

Paclet Resource:   WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource:   AntonAntonov/DimensionReducers

Dimension reduction algorithms

Function Resource:   PrincipalCurvatures

Compute the principal curvatures of a surface

Function Resource:   ImplicitCurvature

Compute the implicit curvature of a curve

Function Resource:   NormalCurvature

Compute the normal curvature of a curve on a surface

Function Resource:   MeanCurvature

Compute the mean curvature of a surface

Function Resource:   Curvature

Compute the curvature of a curve

Function Resource:   GaussianCurvature

Compute the Gaussian curvature of a surface

Function Resource:   CurvaturePlot

Plot a curve defined by its curvature

Function Resource:   BrioschiCurvature

Compute the Gaussian curvature for a metric

Function Resource:   RicciCurvature

Compute the components of the Ricci curvature for a metric

Function Resource:   PrincipalAxisClustering

Quickly cluster a point cloud by recursive separation

Function Resource:   ButcherPrincipalError

Get a list of terms in the Taylor series expansion of the error for Runge–Kutta methods

Function Resource:   MoleculePrincipalMomentPlot

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

Function Resource:   TotalSignedCurvature

Compute the total signed curvature of a curve

Function Resource:   ExtrinsicCurvatureTensor

Represent the extrinsic curvature tensor field for a Riemannian submanifold

Function Resource:   FocalSet

Compute the focal set of a surface

Function Resource:   CurvatureTorsionPlot3D

Plot a curve defined by its curvature and torsion

Function Resource:   WolframRicciCurvatureScalar

Compute the Wolfram–Ricci scalar curvature of a graph and its associated properties

Function Resource:   WolframRicciCurvatureTensor

Compute projections of the Wolfram–Ricci curvature tensor of a graph and many associated properties

Function Resource:   BiPlot

Visualize the principal components of tabular data

Function Resource:   GeneralizedVariance

Find the determinant of the covariance matrix

Function Resource:   MultidimensionalScaling

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

Example Resource:   Molecular Shape Analysis

Classify and visualize molecular shape using the principal moments of inertia

Function Resource:   OsculatingCircle

Get the osculating circle of a curve

Function Resource:   OsculatingCircleProperties

Compute the defining properties of the osculating circle for a curve at a point

Example Resource:   Daily Change of Worldwide Tides

Simulate the effect of the Moon's gravitational pull

Function Resource:   TangentialAngle

Compute the tangential angle of a curve

Function Resource:   Gnomon

Produce a gnomon to be used in 3D graphics to indicate the origin and the principal axes

Example Resource:   Smooth the Boundary of a Region

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

Function Resource:   CesaroEquation

Compute the Cesàro equation for a planar curve

Function Resource:   ComplexRoots

Get the full list of complex nth roots of a number

Function Resource:   EinsteinTensor

Represent the Einstein curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource:   RicciTensor

Represent the Ricci curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource:   TuckerDecomposition

Compute the Tucker decomposition of a tensor

Function Resource:   RiemannTensor

Represent the Riemann curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

Function Resource:   BinormalVector

Compute the binormal vector of a curve

Function Resource:   CurveTorsion

Compute the torsion of a curve

Function Resource:   AsymptoticCurves

Compute the asymptotic curves of a parameterized surface

Function Resource:   EvolutoidCurve

Compute the evolutoid of a curve

Function Resource:   IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

Function Resource:   EvoluteCurve

Compute the evolute of a curve

Function Resource:   GeneralizedHelicoid

Compute the generalized helicoid of a curve

Function Resource:   Intrinsic3DCurve

Plot intrinsic curves in 3D

Function Resource:   RicciScalar

Compute the Ricci scalar for a metric

Function Resource:   NaturalEquations

Compute the natural equations of a curve

Function Resource:   ExtrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature

Function Resource:   CurvedSpacetimeSprinkling

Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function

Function Resource:   IntrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function

Function Resource:   ADMDecomposition

Represent a canonical decomposition of the metric for a Riemannian or pseudo-Riemannian manifold via the ADM formalism

Function Resource:   SolveVacuumEinsteinEquations

Determine whether a given Riemannian or pseudo-Riemannian manifold is a solution to the vacuum Einstein field equations

Function Resource:   StressEnergyTensor

Represent a stress-energy tensor (field) over a Riemannian or pseudo-Riemannian manifold

Function Resource:   SolveEinsteinEquations

Determine whether a given stress-energy tensor (field) is a solution to the Einstein field equations

Function Resource:   ChristoffelSymbols

Represent the Christoffel symbols for (the Levi-Civita connection over) a Riemannian or pseudo-Riemannian manifold

Function Resource:   SolveVacuumADMEquations

Determine whether a given ADM decomposition is a solution to the vacuum ADM equations

Function Resource:   OsculatingParabola

Get the osculating parabola of a plane curve

Function Resource:   OsculatingConic

Get the osculating conic of a plane curve

Function Resource:   RadiusOfAberrancy

Compute the radius of aberrancy of a plane curve

Function Resource:   Geodesic

Compute the geodesics for a parametrized surface

Function Resource:   CurveAberrancy

Compute the aberrancy of a plane curve

Function Resource:   AberrancyCurve

Compute the curve of aberrancy of a plane curve

Function Resource:   WhiteningTransform

Transform data such that its covariance matrix is the identity matrix

Function Resource:   SubspaceAngle

Compute the angle between two subspaces

Function Resource:   CPDecomposition

Compute the canonical polyadic (CP) decomposition of a tensor

Example Resource:   Image Vectorization

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