Re: piecewise definition of a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg43884] Re: [mg43870] piecewise definition of a function*From*: "Peter Pein" <petsie at arcor.de>*Date*: Fri, 10 Oct 2003 03:05:52 -0400 (EDT)*References*: <200310090555.BAA06768@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

In[1]:= g[x_] := UnitStep[x, 1 - x]; Integrate[g[x], {x, -50, 50}] Out[2]= 1 Peter Pein, Berlin petsie at arcAND.de replace && by || to write to me ----- Original Message ----- From: "Nathan Moore" <nmoore at physics.umn.edu> To: mathgroup at smc.vnet.net Subject: [mg43884] [mg43870] piecewise definition of a function > 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 >

**References**:**piecewise definition of a function***From:*Nathan Moore <nmoore@physics.umn.edu>