Re: A Problem with Simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg87486] Re: [mg87419] A Problem with Simplify
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Fri, 11 Apr 2008 01:48:02 -0400 (EDT)
• References: <200804100612.CAA10423@smc.vnet.net>

```Simplify does not return conditional answers (in the form If[..]) and
I don't think it would be reasonable to expect it to do so. The reason
is that unlike definite Integration (which does) Simplify is
frequently used as part of code for other functions (including built
in functions) and returning conditional answers could have a dramatic
impact on complexity and what's worse, would only make sense if other
functions also returned conditional answers (and accepted conditional
input). It just does not seem practical now or in any foreseeable
future.

Andrzej Kozlowski

On 10 Apr 2008, at 15:12, Kevin J. McCann wrote:
> I have the following rather simple integral of two sines, which should
> evaluate to zero if m is not equal to n and to L/2 if they are the
> same.
>
> The following is just fine
>
> Imn = Simplify[Integrate[
>        Sin[(m*Pi*x)/L]*
>          Sin[(n*Pi*x)/L],
>        {x, 0, L}]]
>
>
> However, if I specify that m and n are integers, I only get the
> "general" solution of zero, i.e. when m and n are not equal.
>
> Imn = Simplify[Integrate[
>        Sin[(m*Pi*x)/L]*
>          Sin[(n*Pi*x)/L],
>        {x, 0, L}],
>      Element[m, Integers] &&
>        Element[n, Integers]]
>
> The workaround is obvious in this case, but shouldn't Mathematica give
> multiple
> answers? Perhaps something similar to what it already does with
> Integrate?
>
> Kevin
> --
>
> Kevin J. McCann
> Research Associate Professor
> JCET/Physics
> Physics Building
> University of Maryland, Baltimore County
> 1000 Hilltop Circle
> Baltimore, MD 21250
>

```

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