Simple questions with Complex Numbers

*To*: mathgroup at smc.vnet.net*Subject*: [mg50876] Simple questions with Complex Numbers*From*: "Sunil Pinnamaneni" <pinnama at cims.nyu.edu>*Date*: Sat, 25 Sep 2004 01:55:19 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

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. I'm interested in finding the Real part of expressions like 1/z^5, but Mathematica doesn't seem to want to multiply the denominator by the conjugate, and carry out the simpification. Can Mathematica do such things, or does one have to specifically program it to handle these simplifications. Thanks, Sunil