Wolfram Resource System

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Function Resource: EinsteinSummation

Given tensors and their indices, sum over repeated indices

Function Resource: EinsteinTensor

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

Function Resource: EinsteinSolid

Make a simulation of the Einstein solid

Function Resource: SolveEinsteinEquations

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

Function Resource: TensorIndexJuggling

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

Function Resource: SolveVacuumEinsteinEquations

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

Example Resource: Generate Constants of Integration & Summation

Function Resource: HatHexagonalTiling

Generate the hexagonal tiling pattern of the hat and its supertiles

Function Resource: WenigerSum

Evaluate an infinite sum using the Weniger transformation

Function Resource: CRVZSum

Evaluate an alternating sum using the Cohen-Rodriguez Villegas-Zagier method

Function Resource: SequenceToSum

Turn a sequence of expressions into a symbolic sum

Function Resource: LevinSum

Evaluate an infinite sum using the Levin transformation

Function Resource: OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

Function Resource: ADMDecomposition

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

Function Resource: StressEnergyTensor

Represent a stress-energy tensor (field) 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: ExtrinsicCurvatureTensor

Represent the extrinsic curvature tensor field for a Riemannian submanifold

Function Resource: FactorialSeriesExpansion

Expand a function into a factorial series

Example Resource: See How a Neural Net Works

Visualize the inner working of a trained image classification network

Function Resource: SequenceLimit

Numerically estimate the limit of a sequence of values