If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

The Experimental Functions Package contains functions that are being considered for official inclusion in future versions of Mathematica.

HammingDistance[u, v] gives the Hamming distance between strings or vectors u and v.

UnionSet[a, b, s] merges the sets containing a and b in union-find data structure s.

Mathematica has a built-in high-level interface to all standard SQL databases that allows immediate searching, reading, and writing of arbitrary data and expressions, as well ...

Linear programming problems are optimization problems where the objective function and constraints are all linear. Mathematica has a collection of algorithms for solving ...

A "How to" describes how to carry out particular tasks with Mathematica, giving step-by-step instructions for common cases.

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...