Comments for Andy Soffer
https://soffer801.wordpress.com
UCLA Mathematics Ph.D StudentMon, 07 Jul 2014 21:27:51 +0000
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Comment on Global choice and algebraic closures by Steve Butcher
https://soffer801.wordpress.com/2011/12/28/global-choice-and-algebraic-closures/#comment-574
Mon, 07 Jul 2014 21:27:51 +0000http://soffer801.wordpress.com/?p=1146#comment-574The class of all extensions is, in fact, a proper class. If it weren’t, then your proof would be correct, but in fact, there is no such thing as a maximal field. Any field is a proper subfield of the field of rational functions over that field.
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Comment on More Pedantry by Yoneda’s Lemma (part 2) « Andy Soffer
https://soffer801.wordpress.com/2012/01/17/more-pedantry/#comment-503
Fri, 24 Aug 2012 07:24:19 +0000http://soffer801.wordpress.com/?p=1134#comment-503[…] be a locally small category. Let be an object in , and let . […]
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Comment on Rouche’s Theorem by Open mapping theorem « Andy Soffer
https://soffer801.wordpress.com/2012/08/15/rouches-theorem/#comment-489
Tue, 21 Aug 2012 16:06:06 +0000http://soffer801.wordpress.com/?p=2631#comment-489[…] Topology ← Rouche’s Theorem […]
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Comment on Two fun facts by Open mapping theorem « Andy Soffer
https://soffer801.wordpress.com/2012/07/31/two-fun-facts/#comment-488
Tue, 21 Aug 2012 16:06:03 +0000http://soffer801.wordpress.com/?p=2638#comment-488[…] if not, we would have a convergent sequence of roots, contradiction one of the theorems we proved here. So we can choose to be even smaller so that the only root of in is . Since the boundary of is […]
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Comment on Argument Principle by soffer801
https://soffer801.wordpress.com/2012/08/14/argument-principle/#comment-473
Thu, 16 Aug 2012 02:11:27 +0000http://soffer801.wordpress.com/?p=2629#comment-473In reply to Winston.

Yup. Thanks. Fixed it.

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Comment on Argument Principle by Winston
https://soffer801.wordpress.com/2012/08/14/argument-principle/#comment-472
Thu, 16 Aug 2012 00:03:00 +0000http://soffer801.wordpress.com/?p=2629#comment-472Awesome stuff. Complex analysis is my favorite. Thanks for writing this. It’s quite refreshing looking back on all this again.

Also, just an fyi: you probably mean m and not k in that first equation you have there.

Also,

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Comment on Meromorphic functions and residues by Argument Principle « Andy Soffer
https://soffer801.wordpress.com/2012/08/07/meromorphic-functions-and-residues/#comment-468
Tue, 14 Aug 2012 16:32:55 +0000http://soffer801.wordpress.com/?p=2625#comment-468[…] be a zero of a meromorphicÂ with multiplicity . Then we can write where . Taking derivatives […]
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Comment on Meromorphic functions and residues by A joke « Andy Soffer
https://soffer801.wordpress.com/2012/08/07/meromorphic-functions-and-residues/#comment-463
Mon, 13 Aug 2012 16:36:29 +0000http://soffer801.wordpress.com/?p=2625#comment-463[…] defined poles of meromorphic functions, but we can be a bit more descriptive. Suppose we have a meromorphic function which is is […]
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Comment on Cauchy integral formula by Meromorphic functions and residues « Andy Soffer
https://soffer801.wordpress.com/2012/07/16/cauchy-integral-formula/#comment-442
Tue, 07 Aug 2012 16:03:11 +0000http://soffer801.wordpress.com/?p=2376#comment-442[…] zero. This is the Cauchy integral theorem. What if it does have a pole? We can use the generalized Cauchy integral formula we saw last time: Theorem 1 (Residue theorem) Let and let be a pole of in . Expand as a Laurent […]
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Comment on Cauchy Integral Theorem by Meromorphic functions and residues « Andy Soffer
https://soffer801.wordpress.com/2012/07/13/cauchy-integral-theorem/#comment-441
Tue, 07 Aug 2012 16:03:08 +0000http://soffer801.wordpress.com/?p=2369#comment-441[…] in , and integrate, if has no poles on the interior of , then the integral is zero. This is the Cauchy integral theorem. What if it does have a pole? We can use the generalized Cauchy integral formula we saw last time: […]
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