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Re: Forcing Re[]'s to be Real
*To*: mathgroup at smc.vnet.net
*Subject*: [mg18234] Re: [mg18223] Forcing Re[]'s to be Real
*From*: Haiduke Sarafian <has2 at psu.edu>
*Date*: Thu, 24 Jun 1999 14:24:17 -0400
*Sender*: owner-wri-mathgroup at wolfram.com
At 08:41 PM 6/22/99 -0400, Anthony Foglia wrote:
> I seem to have found an interesting problem involving computing the
>real part of complex numbers. (Interesting, in that it wasn't there a few
>weeks ago when I ran the (as-far-as-i-can-remember) exact same code.)
>
>I have a complex function:
>
>k[w] := Sqrt[w^2 (1 + (2 / (1 + I w)))]
>
>I want to graph the real and imaginary parts, but Mathematica doesn't want
>to express the Re[k[w]] as a real number. What do I mean? Well, if I
>type:
>
>Re[Sqrt[1+I]]
>
>I get out
>
>Re[Sqrt[1+I]]
>
>Same if I do Re[ComplexExpand[Sqrt[1+I]]], or Re[(1+I)^(1/2)]. But if I
>enter:
>
>Re[ComplexExpand[(1+I)^(1/2)]
>
>Mathematica is kind enough to respond with:
>
>2^(1/4) Cos[Pi/8]
>
>I'm certain that this is the root of my problem, but I'll be damned if I
>know why Mathematica doesn't like it now, but did a few weeks ago. Any
>help?
>
>--Anthony
>
Anthony; the source of the problem is the argument of k[w] function - It
should read k[w_]:=...
As you suggested, to extract the Re and Im components of k[w] apply
Re[ComplexExpand[k[w]] and Im[ComplexExpand[k[w]] - then you can graph the
outputs. Cheers
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