Toronto Math Forum
MAT334-2018F => MAT334--Tests => Term Test 1 => Topic started by: Victor Ivrii on October 19, 2018, 03:57:01 AM
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$\renewcommand{\Re}{\operatorname{Re}}
\renewcommand{\Im}{\operatorname{Im}}$
Find any region that is mapped bijectively to $\{w\colon \Re w\ge |\Im w |, \ 0< |w|\le 2\}$ by the map $w=e^z$. Draw both of them.
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Please see the solution below.
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Corrections done above.
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Corrections done above.
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You can modify your post and remove unwanted attachments. What are domains (you draw several), which one is correct? You need to state it explicitly rather than leaving to guesses.
Also, use LaTeX/MathJax instead of pitiful html math (or mess)
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You need to say that domains in both cases are intersections of the "painted" domains.