Representing Piecewise Functions in Mathematica ©
نویسنده
چکیده
There are many ways of representing piecewise functions inMathematica c . We study three different methods. One is by using the function Piecewise. Another is by using a difference of two HeavisideTheta functions for each piece. And a third way is by using product to two HeavisideTheta functions for each piece. If efficiency in integration is a criterion, which of these is the best way to do so? Another issue is the limits one should use for integration. Assuming one wishes to integrate over the entire domain, is it better to use (−∞,∞) as the limits or is it better to use more specific limits such as (−3, 3) if the piecewise functions are non-zero over (−3, 3)? We examine the answers to these questions by doing some experiments and speculate on the reasons for the results.
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