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MathGroup Archive 2004

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Re: Simplify[ {Re[Sqrt[-1 + eta^2]], Im[Sqrt[-1 + eta^2]]}, eta<1]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg50631] Re: Simplify[ {Re[Sqrt[-1 + eta^2]], Im[Sqrt[-1 + eta^2]]}, eta<1]
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 15 Sep 2004 01:49:25 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <ci3ele$e41$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,


FullSimplify[test, eta < 1 && eta > -1]

??

Regards
  Jens

peteraptaker wrote:
> 
> Have I missed something - my apologies if this is answered in a FAQ
> I want to make the simple Re and Im parts simplify properly?
> 
> test =
>   {Re[Sqrt[-1 + eta^2]], Im[Sqrt[-1 + eta^2]]}
> 
> FullSimplify[test, eta > 1]
> gives*{Sqrt[-1 + eta^2], 0}
> 
> But
> FullSimplify[test, eta < 1]
> gives
> {Re[Sqrt[-1 + eta^2]], Im[Sqrt[-1 + eta^2]]}
> 
> Needs["Algebra`ReIm`"] does not seem to help
> 
> Real numbers demonstrate what should happen:
> test) /. {{eta -> 0.1}, {eta -> 2}}
> {{0., 0.99498743710662}, {Sqrt[3], 0}}


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