PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

PolyhedronData[poly, " property"] gives the value of the specified property for the polyhedron named poly.PolyhedronData[poly] gives an image of the polyhedron named ...

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

Abs[z] gives the absolute value of the real or complex number z.

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].

Im[z] gives the imaginary part of the complex number z.

Max[x_1, x_2, ...] yields the numerically largest of the x_i. Max[{x_1, x_2, ...}, {y_1, ...}, ...] yields the largest element of any of the lists.

PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

Rationalize[x] converts an approximate number x to a nearby rational with small denominator. Rationalize[x, dx] yields the rational number with smallest denominator that lies ...