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Complex Inequality

  1. May 9, 2005 #1

    I have the inequality

    t > (1/2) + a / |w|^2

    where w is a complex number, w = a + bi. So the a in the inequality is the
    real part.

    So I need to find t such that all w are in a sector around the negative real
    axis. Note t in [0, 1].

    I am having trouble figuring out the condition to impose.

    For example, before I wanted to find t such that the entire negative half of the complex plane satisfied the above inequality. t > 1/2 clearly satisfied this. Now I want to find t such that a sector around the negative real
    axis satisfies the above inequality.
  2. jcsd
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