Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Vectors and Matrices (Mathematica Tutorial)

Vectors and matrices in Mathematica are simply represented by lists and by lists of lists, respectively. The representation of vectors and matrices by lists. This is a 2×2 ...

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

UniformSumDistribution (Built-in Mathematica Symbol)

UniformSumDistribution[n] represents the distribution of a sum of n random variables uniformly distributed from 0 to 1.UniformSumDistribution[n, {min, max}] represents the ...

MixtureDistribution (Built-in Mathematica Symbol)

MixtureDistribution[{w_1, ..., w_n}, {dist_1, ..., dist_n}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions dist_i, ...

DSolve (Built-in Mathematica Symbol)

DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...

Multivariate Statistics Package (Multivariate Statistics Package Tutorial)

This package contains descriptive statistics for multivariate data and distributions derived from the multivariate normal distribution. Distributions are represented in the ...

Graphlet (Mathematica Import/Export Format)

Graphlet GML graph data format. Used for the storage and exchange of graphs. GML is an acronym derived from Graph Modelling Language. Native format of the Graphlet graph ...

HTML (Mathematica Import/Export Format)

Registered MIME type: text/html HTML markup language and file format. Predominant language for the creation of web pages. HTML is an acronym derived from Hypertext Markup ...