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 [SOLVED] Complex analysis

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Mohammad
Descartes
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Mohammad

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[SOLVED] Complex analysis Empty
PostSubject: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptySun Nov 08, 2009 11:01 pm

Here is a nice problem from 33th math competition in Iran. I totally went crazy, 15$ for prize if you solve it by next week Basketball .
uploading.com Complex.pdf/ bounce


Last edited by Mohammad on Mon Nov 16, 2009 10:05 pm; edited 1 time in total
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Mohammad
Descartes
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Mohammad

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[SOLVED] Complex analysis Empty
PostSubject: no prize   [SOLVED] Complex analysis EmptySun Nov 08, 2009 11:48 pm

I guess i was drunk, but i am sure milk hasn't any alcohol or maybe does Very Happy . the problem is easy so no prize Embarassed
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Mohammad
Descartes
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Mohammad

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PostSubject: Re: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptySat Nov 14, 2009 7:40 pm

Hint: Arrow
Try using Zorn's lemma bounce
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Mohammad
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PostSubject: Sol   [SOLVED] Complex analysis EmptySun Nov 15, 2009 11:17 pm

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Bruno
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PostSubject: Re: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptyMon Nov 16, 2009 11:07 pm

I would have never thought of anything even remotely related to that. I tip my hat to whoever came up with this solution. affraid
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Mohammad
Descartes
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Mohammad

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Age : 35
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PostSubject: Re: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptyMon Nov 16, 2009 11:12 pm

But it is very natural idea. Suppose A is just one point so you can get rid of it's point since f is bounded. Now what would happen if you continue this process when A has more points, you just need to justify that this process will be terminated, so you need something equivalent to axiom choice Very Happy
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Bruno
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PostSubject: Re: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptyMon Nov 16, 2009 11:16 pm

Yes it's true. Maybe I'm not familiar enough with this type of proof just yet to feel that it's very natural. I just really wouldn't have thought about it... but I'll keep an eye out in the future Very Happy

Thanks for sharing this nice problem.

I like your avatar by the way. Is that how you feel these days? Laughing
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PostSubject: Re: [SOLVED] Complex analysis   [SOLVED] Complex analysis EmptyTue Nov 17, 2009 5:40 pm

The thread had gotten off-topic, so I put the other half in the Suggestions forum so others can find it.
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