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Topic: Real and Imaginary Parts of complex functions
Replies: 3   Last Post: Feb 27, 2013 3:04 AM

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Sseziwa Mukasa

Posts: 108
Registered: 8/26/07
Re: Real and Imaginary Parts of complex functions
Posted: Feb 27, 2013 3:04 AM
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On Feb 26, 2013, at 1:09 AM, Brentt <brenttnewman@gmail.com> wrote:

>
> Hello,
>
> I was wondering why this works
>
> IN[]:= Refine[Re[x + y I], Element[x , Reals] && Element[y , Reals]]
>
> Out[]:= x
>
> But this does not
>
> In[]:= Refine[Re[1/(x + y I)], Element[x , Reals] && Element[y , Reals]]
>
> Out[]:= Re[1/(x + y I)]
>
>
>
> Is there a nice built in way to get the real and imaginary parts of a
> complex function?


(Debug) In[1]:= ComplexExpand[Re[1/(x+I y)]]
(Debug) Out[1]= x/(x^2+y^2)




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