Re: piecewise definition of a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg43905] Re: piecewise definition of a function*From*: Bill Rowe <readnewscix at mail.earthlink.net>*Date*: Fri, 10 Oct 2003 03:06:31 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

On 10/9/03 at 1:55 AM, nmoore at physics.umn.edu (Nathan Moore) wrote: > I'd like to define a function in a piecewise manner. As of yet I've > been unsuccessful with even the simplest example. Consider the > following: > first define a 1-d bump, > f[x_] = If[x < 0, 0,If[x > 1, 0, 1]] > Mathematica doesn't seem to mind this, as f[0.1] evaluates 1 and > f[-23] evaluates 0. > The problem comes when I try to integrate the function. The > following command which should evaluate to 1 doesn't work AT ALL! Try defining piecewise functions using UnitStep, i.e. f[x_]:= UnitStep@x - UnitStep[x-1] Integrate[f[x], {x, -10, 10}] -- To reply via email subtract one hundred and nine