Re: Why can't Mathematica simplify this?
- To: mathgroup at smc.vnet.net
- Subject: [mg85015] Re: Why can't Mathematica simplify this?
- From: Bill Rowe <readnewsciv at sbcglobal.net>
- Date: Thu, 24 Jan 2008 04:40:30 -0500 (EST)
On 1/22/08 at 5:40 AM, dudesinmexico at gmail.com wrote:
>I think that Mathematica should be able to simplify this, since N
>and and l are constrained to be Integers:
>Simplify[Sin[2 Pi l (N - 1) /N], {N, l} \[Element] Integers]
>Instead, I get the same expression
>Sin[(2 l (-1 + N) Pi)/N]
>Does anyone know why?
First, it is not a good idea to use N as a variable name as this
conflicts with the name of the built-in function N. In this
particular instance, this isn't the issue. But in general, the
practice of using N as a variable can lead to strange results.
But what is it you expect this expression to be simplified to?
if l = 1 and N = 2, this reduces to Sin[Pi] which is 0
if 1 = 1 and N = 3, this reduces to Sin[4 Pi/3] which is -Sqrt[3]/2
So, what is it you expect Mathematica to return?
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