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, ...

The following is the sequence of steps that Mathematica follows in evaluating an expression like h[e_1,e_2…]. Every time the expression changes, Mathematica effectively ...

Timing[expr] evaluates expr, and returns a list of the time in seconds used, together with the result obtained.

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

$ParentLink is the MathLink LinkObject currently used for input and output by the Mathematica kernel in a particular session.

$CompilationTarget gives the default value for the option CompilationTarget of Compile.

DivisorSigma[k, n] gives the divisor function \[Sigma]_k (n).

LengthWhile[list, crit] gives the number of continuous elements e_i starting at the beginning of list for which crit[e_i] is True.

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

Welcome to J/Link, a product that integrates Mathematica and Java. J/Link lets you call Java from Mathematica in a completely transparent way, and it also lets you use and ...