Re: Assuming odd/even functions
- To: mathgroup at smc.vnet.net
- Subject: [mg98674] Re: Assuming odd/even functions
- From: dh <dh at metrohm.com>
- Date: Thu, 16 Apr 2009 04:12:50 -0400 (EDT)
- References: <gs47hn$7l1$1@smc.vnet.net>
Hi Martin,
there is an options of Simplify: TransformationFunctions, that tells
Simplify what to try. You may e.g. specify a function that transforms
f[-x] into -f[x] for an odd function. Here is an example:
t[e_] := e /. f[-x] -> -f[x];
Simplify[f[x] + f[-x], TransformationFunctions -> {Automatic, t}]
hope this helps, Daniel
Martin Schönecker wrote:
> How can we give Mathematica the information of a function being odd or even, and have it applied automatically or in a Simplify[]?
>
> Such that, if e.g. f[y] is odd, the sum f(a)+f(-a) yields zero, the
> integral Integrate[f[y], {y, -a, a}] vanishes?
>
> --Martin
>