The set B is defined by { z is a complex number : Im(z^2) > 0 and |z| > 1 }.

Sketch the set and state whether B is open and whether B is a domain.

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- Feb 12th 2008, 07:13 AMUnoticedSketching Complex Sets
The set B is defined by { z is a complex number : Im(z^2) > 0 and |z| > 1 }.

Sketch the set and state whether B is open and whether B is a domain. - Feb 12th 2008, 07:54 AMPlato
Noting that $\displaystyle \mbox{Im} \left( {z^2 } \right) = 2xy > 0\,\& \,\left| z \right| > 1 \Rightarrow \quad x^2 + y^2 > 1$;

Can you do the graph? - Feb 12th 2008, 08:23 AMUnoticed
Ye, thanks, I've got it now.