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Re: confused about asserting variable is element of

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103124] Re: [mg103084] confused about asserting variable is element of
  • From: Patrick Scheibe <pscheibe at trm.uni-leipzig.de>
  • Date: Tue, 8 Sep 2009 06:01:10 -0400 (EDT)
  • References: <200909070636.CAA04019@smc.vnet.net>

Hi,

you have to state that Mathematica should use your assumption

Assuming[a \[Element] Reals, Simplify[Im[a]]]

Maybe you should have a look at the help of the global variable
$Assumptions

Cheers
Patrick

On Mon, 2009-09-07 at 02:36 -0400, dushan wrote:
> I'm still learning Mathematica (using 7.0.1) and don't understand
> Mathematica's response.  After finally finding out how to assert that a
> variable is real, I tried to verify this by asking Mathematica to show me that
> it knew the imaginary part of the variable is zero.  But I couldn't
> find a way to do that..  Here're my instructions:
> 
>     In[1]:=   a (ESC)el(ESC) Reals
>     Out[1]:= a (the element-of symbol) Reals
> 
>     In[2]:=   ##Im[a]
>     Out[2]:= Im[a]
> 
> where '##' is any of {null, Refine[, Simplify[, FullSimplify[}.  I
> also tried some other combinations, such as 'a^2 - Re[a]^2', but these
> didn't help either.
> 
> What am I doing wrong?  How do I verify such things?
> 
> Thanks.
> 
> - Dushan Mitrovich
> 



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