Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

Ordinary mathematical functions in Mathematica are always "listable", so that they are immediately applied in parallel across lists. Mathematica provides a wide variety of ...

LinkPatterns[link] gives a list of the patterns for which definitions were set up when the external program associated with the specified MathLink connection was installed.

In Mathematica's unified symbolic architecture, every Mathematica notebook you see is represented as a symbolic expression that can be manipulated and controlled ...

FindSequenceFunction[{a_1, a_2, a_3, ...}] attempts to find a simple function that yields the sequence a_n when given successive integer arguments.FindSequenceFunction[{{n_1, ...

Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

FoldList[f, x, {a, b, ...}] gives {x, f[x, a], f[f[x, a], b], ...}.

Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...