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Re: Real and Imaginary Parts of complex functions


On Feb 26, 2013, at 1:09 AM, Brentt <brenttnewman at 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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