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Re: Picewise Function

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  • Subject: [mg82090] Re: Picewise Function
  • From: Girish Kulkarni <geeree at>
  • Date: Fri, 12 Oct 2007 02:48:21 -0400 (EDT)
  • References: <fek98d$lae$>

Frank Hechtner wrote:
> Now i want mathematica to tell that this function uses a specific
> domain. The function should only be defined if the result of the
> evaluation is <= 0.25.

This sounds like you want to restrict the *range* of the function and
not its domain. In that case simply discard the value that the
function returns if it is greater than 0.25.

OTH, if you have to restrict the *domain*, you can use Condition
( /; ). See `Condition' in Mathematica help. For example:

  q[x_] := x^2 /; x > 0
  q[x_] := -x^2 /; x <= 0

defines a function piecewise. It evaluates to x^2 if x is positive and
to -x^2 if it is not.

Girish Kulkarni - Allahabad, India -

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