Install["name"] starts a MathLink-compatible external program and installs Mathematica definitions to call functions in it.

Clear[symbol_1, symbol_2, ...] clears values and definitions for the symbol_i. Clear["form_1", "form_2", ...] clears values and definitions for all symbols whose names match ...

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

Stack[] shows the current evaluation stack, giving a list of the tags associated with evaluations that are currently being done. Stack[pattern] gives a list of expressions ...

Mathematica provides a general mechanism for specifying constraints on patterns. All you need to do is to put /;condition at the end of a pattern to signify that it applies ...

Parallelization is an option for Compile that specifies whether it should create a compiled function that could run in parallel.

Mathematica allows any front end command to be executed programmatically from within the kernel by sending an appropriate front end token. There are tokens for all standard ...

Re[z] gives the real part of the complex number z.

You will find the Documentation Center, Function Navigator, and Virtual Book essential in learning Mathematica's vast programming language and functionality.

MapThread[f, {{a_1, a_2, ...}, {b_1, b_2, ...}, ...}] gives {f[a_1, b_1, ...], f[a_2, b_2, ...], ...}. MapThread[f, {expr_1, expr_2, ...}, n] applies f to the parts of the ...