Re: piecewise definition of a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg43876] Re: piecewise definition of a function*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Fri, 10 Oct 2003 03:05:45 -0400 (EDT)*Organization*: Universitaet Leipzig*References*: <bm2ub8$6s1$1@smc.vnet.net>*Reply-to*: kuska at informatik.uni-leipzig.de*Sender*: owner-wri-mathgroup at wolfram.com

Hi, Integrate[UnitStep[x] - UnitStep[x - 1], {x, -1, 1}] Regards Jens 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! > > Integrate[f[x], {x, -50, 50}] > > What is the proper technique here? > > Nathan Moore > University of Minnesota Physics