Widely recognized as the world's most powerful list manipulation language, Mathematica added in Version 6.0 a number of important new functions. Each function was carefully ...

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

Variables[poly] gives a list of all independent variables in a polynomial.

This document describes how to compile and run MathLink programs written in the C language on computers running a Microsoft Windows operating system. ("MathLink and External ...

The Graph Utilities Package contains a number of functions useful for graph theory applications. Functions in the Graph Utilities Package. This loads the package.

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

BrayCurtisDistance[u, v] gives the Bray\[Dash]Curtis distance between vectors u and v.

TrigExpand[expr] expands out trigonometric functions in expr.

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...