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If y_(1)=max||z-omega|-|z-omega^(2)||, where |z|=2 and y_(2)=max||z-omega|-|z-omega^(2)||, where |z|=(1)/(2) and omega and omega^(2) are complex cube roots of unity, then |
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Answer» `y_(1)=SQRT(3)`, `y_(2)=sqrt(3)` `implies||Z-w|-|z-w^(2)|| le |w^(2)-w| le sqrt(3)` and equality canhold only when `|z|=2` and not when `|z|=(1)/(2)` |
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