Re: symbolic complex expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg53667] Re: [mg53637] symbolic complex expressions
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Sat, 22 Jan 2005 03:51:49 -0500 (EST)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <200501211135.GAA01324@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```ComplexExpand[Abs[x + I y]]

ComplexExpand[x/(x + I y)]

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
>
>

--
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

```

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