| | [SOLVED] Complex analysis |  |
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Mohammad
Descartes
Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you
| | Subject: [SOLVED] Complex analysis Sun 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  . uploading.com Complex.pdf/ 
Last edited by Mohammad on Mon Nov 16, 2009 10:05 pm; edited 1 time in total |
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Mohammad
Descartes
Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you
| | Subject: no prize Sun Nov 08, 2009 11:48 pm | |
| I guess i was drunk, but i am sure milk hasn't any alcohol or maybe does  . the problem is easy so no prize  |
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Mohammad
Descartes
Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you
| | Subject: Re: [SOLVED] Complex analysis Sat Nov 14, 2009 7:40 pm | |
| Hint:  Try using Zorn's lemma |
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Mohammad
Descartes
Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you
| | Subject: Sol Sun Nov 15, 2009 11:17 pm | |
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Bruno
Admin
Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density
| | Subject: Re: [SOLVED] Complex analysis Mon 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.  |
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Mohammad
Descartes
Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you
| | Subject: Re: [SOLVED] Complex analysis Mon 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 |
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Bruno
Admin
Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density
| | Subject: Re: [SOLVED] Complex analysis Mon 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 Thanks for sharing this nice problem. I like your avatar by the way. Is that how you feel these days?  |
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Bruno
Admin
Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density
| | Subject: Re: [SOLVED] Complex analysis Tue 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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| | [SOLVED] Complex analysis | |
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