Re: piecewise definition of a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg43888] Re: piecewise definition of a function*From*: bobhanlon at aol.com (Bob Hanlon)*Date*: Fri, 10 Oct 2003 03:05:56 -0400 (EDT)*References*: <bm2ub8$6s1$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

f[x_] := UnitStep[x]-UnitStep[x-1]; Plot[f[x], {x,-1,2}]; Integrate[f[x], {x,-50, 50}] 1 Bob Hanlon In article <bm2ub8$6s1$1 at smc.vnet.net>, Nathan Moore <nmoore at physics.umn.edu> 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?