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April 6th, 2014, 06:27 PM   #11
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Originally Posted by Olinguito View Post
...the interior of unit circle can be described by $\displaystyle z\overline z<1$. If this inequality makes sense, despite the presence of complex variables, I don’t see why we should not try to make sense of the OP’s inequality.
But $z \overline{z} \equiv |z|$ which is by definition real.

I'll concede that my initial reaction was a little extreme, although I still think the question could do with more detail.
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