PermutationCycles[perm] gives a disjoint cycle representation of permutation perm.

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

DegreesOf2Neighborhood[g, v] returns the sorted list of degrees of vertices of graph g within a distance of 2 from v.

Mathematica automatically handles all standard compression and archive formats.

There are many types of distributions that are relevant for communication systems. In telecom, for instance, exponential and Erlang distributions modeling talk lengths are ...

Just as normal and stable distributions are natural limit distributions when considering linear combinations such as means of independent variables, extreme value ...

Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica unprecedented strength in the transformation and simplification of hypergeometric ...

Mathematica provides a core set of functions for performing block-diagram reduction and various model manipulations. Building on Mathematica's unique symbolic architecture, ...

Building on Mathematica's extensive data manipulation capabilities, Mathematica 8 adds a wide range of new import and export features, advanced image processing algorithms, ...

These "How tos" give step-by-step instructions for common tasks related to image processing in Mathematica .