Mathematica's symbolic architecture and dynamic interface make possible a uniquely flexible and convenient approach to charting and information visualization. With ...

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...

NotebookApply[notebook, data] writes data into a notebook at the current selection, replacing the first selection placeholder in data by the current selection, and then ...

BeginPackage["context`"] makes context` and System` the only active contexts. BeginPackage["context`", {"need_1`", "need_2`", ...}] calls Needs on the need_i.

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

EndPackage[] restores $Context and $ContextPath to their values before the preceding BeginPackage, and prepends the current context to the list $ContextPath.

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

Particularly when you write procedural programs in Mathematica, you will often need to modify the value of a particular variable repeatedly. You can always do this by ...

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Just as Mathematica allows you to define how expressions should be evaluated, so also it allows you to define how expressions should be formatted for output. The basic idea ...