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MAT334--2020F
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Quiz 3
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Quiz3-5E
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Topic: Quiz3-5E (Read 3033 times)
Qiaoyi Zhang
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Quiz3-5E
«
on:
October 09, 2020, 01:31:41 PM »
Show that the function $w=g(z)=e^{z^2}$ maps the lines ${x=y}$ and ${x=-y}$ onto the circle ${|w|}=1$. Show further that g maps each of the two pieces of the region $\{x+iy: x^2>y^2\}$ onto ${|w|}>1$ and $\{x+iy: x^2<y^2\}$ onto ${|w|}<1$
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Toronto Math Forum
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MAT334--2020F
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MAT334--Tests and Quizzes
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Quiz 3
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Quiz3-5E