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Re: Simple questions with Complex Numbers

• To: mathgroup at smc.vnet.net
• Subject: [mg50902] Re: Simple questions with Complex Numbers
• From: Karl_boehme_9 at msn.com (Klaus G)
• Date: Mon, 27 Sep 2004 00:42:08 -0400 (EDT)
• References: <cj322j$542$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

"Sunil Pinnamaneni" <pinnama at cims.nyu.edu> wrote in message news:<cj322j$542$1 at smc.vnet.net>...
> I'm having difficulty getting mathematica to do simplifications with Complex
> Numbers. For instance,
> 
> z = s+ I t;
> zbar = s- I t;
> FullSimplify[Re[1/(z zbar)]]
> yields
> Re[1/(s^2 +t^2)]
> Is there any way to get Mathematica to yield the result 1/(s^2 +t^2) without
> the Re? It seems like Mathematica should have been programmed to do easy
> simplifications using Complex Numbers.
> [...]
> Thanks,
> Sunil

???
z = s + I t;
zbar = s - I t;
Simplify[1/(z zbar)] 

yields
1/(s^2 + t^2)

Klaus G.