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Piecewise Functions in Mathematica

Adam Strzebonski
Organization: Wolfram Research, Inc.
Department: Kernel Technology

2004 Wolfram Technology Conference
Conference location

Champaign IL

The development version of Mathematica contains extensive support for piecewise functions throughout the system. An arbitrary piecewise function (with a finite number of pieces) can be represented using the new piecewise construct. The function PiecewiseExpand allows users to transform an arbitrary composition of piecewise functions into a single piecewise function. These tools, as well as Mathematica’s condition solving capabilities, allow for efficient handling of piecewise functions in many contexts, including equation and inequality solving, optimization, computation of limits, derivatives, series, indefinite and definite integrals, solving of differential equations, and graphics.

*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Special Functions
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PiecewiseTalk.nb (4.3 MB) - Presentation notebook [for Mathematica 5.1]