Author Topic: TT1 Problem 5 (morning)  (Read 781 times)

Victor Ivrii

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TT1 Problem 5 (morning)
« on: October 19, 2018, 03:57:01 AM »
$\renewcommand{\Re}{\operatorname{Re}}
\renewcommand{\Im}{\operatorname{Im}}$
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.

Xiting Kuang

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Re: TT1 Problem 5 (morning)
« Reply #1 on: October 19, 2018, 11:02:51 AM »
Please see the solution below.
« Last Edit: October 20, 2018, 10:32:36 PM by Xiting Kuang »

Xiting Kuang

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Re: TT1 Problem 5 (morning)
« Reply #2 on: October 19, 2018, 11:11:17 AM »
Corrections done above.
« Last Edit: October 20, 2018, 10:29:42 PM by Xiting Kuang »

Xiting Kuang

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Re: TT1 Problem 5 (morning)
« Reply #3 on: October 19, 2018, 11:14:51 AM »
Corrections done above.
« Last Edit: October 20, 2018, 10:29:58 PM by Xiting Kuang »

Victor Ivrii

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Re: TT1 Problem 5 (morning)
« Reply #4 on: October 20, 2018, 03:18:14 PM »
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)

Victor Ivrii

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Re: TT1 Problem 5 (morning)
« Reply #5 on: October 21, 2018, 01:53:09 AM »
You need to say that domains in both cases are intersections of the "painted" domains.