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Re: symbolic complex expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg53681] Re: [mg53637] symbolic complex expressions
• From: Hugh Walker <hwalker at gvtc.com>
• Date: Sat, 22 Jan 2005 03:52:27 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hello Frank:

Abs[x+I y]//ComplexExpand
x/(x+I y)//ComplexExpand

On Friday, January 21, 2005, at 05:35 AM, Frank wrote:

> Hi,
>
> I've 2 question with mathematica using symbolic complex expressions.
>
> - Is there a possibility to make from i.e. |x + I y| -> sprt(x^2+y^2)
> if x and y are Real. Abs[] doesn't work?
>
>
> - You've a fraction like this x/(x + I y) and you want to eliminate
> the complex expression in the denominator.
> i.e. doing something like this: x/(x + Iy)*(x - I y)/(x - I y) -> (x^2
> - I x y)/(x^2+y^2)
>
> How do you do this with mathematica?
>
> Thanks,
>
> Frank
>
>
>
==========
Hugh Walker
Gnarly Oaks