Re: Simplify (-1)^((-1)^n)
- To: mathgroup at smc.vnet.net
- Subject: [mg76436] Re: [mg76401] Simplify (-1)^((-1)^n)
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Tue, 22 May 2007 02:50:16 -0400 (EDT)
- References: <200705211005.GAA10167@smc.vnet.net>
On 21 May 2007, at 19:05, peter.clave at gmail.com wrote:
> Hi,
>
> I am using Mathematica 5.2.
>
> How can I urge Mathematica on evaluate
> In[x] := Simplify[ (-1)^((-1)^n), Element[n, Integers] ]
> to
> Out[x] := -1
> ?
>
> Many thanks for any help,
> Peter
>
>
Well, you can't really (without adding this simplification as a
TransformationFunction or doing something essentially equivalent).
However, it can do this:
Simplify[(-1)^((-1)^n), Element[n, Integers] && Mod[n, 2] == #] & /
@ {0, 1}
{-1, -1}
which in practice ought to be enough.
Andrzej Kozlowski
- References:
- Simplify (-1)^((-1)^n)
- From: peter.clave@gmail.com
- Simplify (-1)^((-1)^n)