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Thread: Sketching Complex Sets

  1. February 12th 2008, 07:13 AM #1
    Unoticed
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    Sketching 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.
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  2. February 12th 2008, 07:54 AM #2
    Plato
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    Noting that \mbox{Im} \left( {z^2 } \right) = 2xy > 0\,\& \,\left| z \right| > 1 \Rightarrow \quad x^2 + y^2 > 1;
    Can you do the graph?
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  3. February 12th 2008, 08:23 AM #3
    Unoticed
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    Ye, thanks, I've got it now.
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