Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...

Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...

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, ...

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

ArcCsc[z] gives the arc cosecant csc -1 (z) of the complex number z.

ArcSec[z] gives the arc secant sec -1 (z) of the complex number z.

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...

Boole[expr] yields 1 if expr is True and 0 if it is False.

Collect[expr, x] collects together terms involving the same powers of objects matching x. Collect[expr, {x_1, x_2, ...}] collects together terms that involve the same powers ...

ComplexExpand[expr] expands expr assuming that all variables are real. ComplexExpand[expr, {x_1, x_2, ...}] expands expr assuming that variables matching any of the x_i are ...