PiecewiseExpand

Usage

• PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function.
• PiecewiseExpand[expr, assum] expands piecewise functions using assumptions.
• PiecewiseExpand[expr, assum, dom] does the expansion over the domain dom.

Notes

• The result from PiecewiseExpand[expr] is normally Piecewise[{

, ... }] where none of the

contain Piecewise.

• PiecewiseExpand converts such functions as If, Which, Abs, Max, UnitStep and Floor to Piecewise.

• PiecewiseExpand[expr, assum, dom] assumes that both the input and output of every function appearing in expr is in the domain dom.

• Common choices for dom are Reals and Complexes.

• PiecewiseExpand attempts to simplify combinations of conditions that appear in Piecewise.

• The following options can be given:

Assumptions	$Assumptions	default assumptions to append to assum
TimeConstraint	30	for how many seconds to try simplifying each set of conditions

• See Section 3.3.9.

• See also: Piecewise, Expand, $MaxPiecewiseCases, Simplify, LogicalExpand.

• New in Version 5.1.