Comments for The Unapologetic Mathematician
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Mathematics for the interested outsiderTue, 16 Jun 2015 21:42:09 +0000hourly1http://wordpress.com/Comment on The Inclusion-Exclusion Principle by Benjamin
https://unapologetic.wordpress.com/2008/07/24/the-inclusion-exclusion-principle/#comment-28228
Tue, 16 Jun 2015 21:42:09 +0000http://unapologetic.wordpress.com/?p=898#comment-28228I’m working on a research project where I want to use cycles in the homology of this kind of chain complex to show that two finite families of subspaces of vector spaces are not the same. I cannot find a name for this chain complex construction or a reference for its construction. Can you tell me a reference, or at least a name that I can type into google?
]]>Comment on The Unit and Counit of an Adjunction by isomorphismes
https://unapologetic.wordpress.com/2007/07/17/the-unit-and-counit-of-an-adjunction/#comment-28166
Mon, 18 May 2015 07:22:40 +0000http://unapologetic.wordpress.com/2007/07/17/the-unit-and-counit-of-an-adjunction/#comment-28166Reblogged this on Human Mathematics.
]]>Comment on Root Systems by isomorphismes
https://unapologetic.wordpress.com/2010/01/20/root-systems/#comment-28156
Fri, 15 May 2015 21:32:52 +0000http://unapologetic.wordpress.com/?p=4942#comment-28156Reblogged this on Human Mathematics.
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https://unapologetic.wordpress.com/2011/04/13/cotangent-vectors-differentials-and-the-cotangent-bundle/#comment-28155
Fri, 15 May 2015 19:11:38 +0000http://unapologetic.wordpress.com/?p=8866#comment-28155Great posts!
]]>Comment on Diagram Chases Done Right by John Armstrong
https://unapologetic.wordpress.com/2007/09/28/diagram-chases-done-right/#comment-28106
Fri, 01 May 2015 20:49:33 +0000http://unapologetic.wordpress.com/2007/09/28/diagram-chases-done-right/#comment-28106I mean to form the pullback square just like in the proof of the third rule.
]]>Comment on Diagram Chases Done Right by RicPed
https://unapologetic.wordpress.com/2007/09/28/diagram-chases-done-right/#comment-28104
Fri, 01 May 2015 13:29:25 +0000http://unapologetic.wordpress.com/2007/09/28/diagram-chases-done-right/#comment-28104Hi! what do you mean, in the proof of the 5th point of the rule for diagram chasing, by “pulling back y’ along e to get e'” ? thanks in advance!
]]>Comment on An Example (part 3) by Alice
https://unapologetic.wordpress.com/2011/08/24/an-example-part-3/#comment-28094
Mon, 27 Apr 2015 05:06:51 +0000http://unapologetic.wordpress.com/?p=9606#comment-28094You were right. This example was really illustrative. Thank-you. You have no idea how much your input has helped me, so keep posting. Tchuss!
]]>Comment on Tensor products of abelian groups by isomorphismes
https://unapologetic.wordpress.com/2007/04/06/tensor-products-of-abelian-groups/#comment-28042
Fri, 10 Apr 2015 04:56:18 +0000http://unapologetic.wordpress.com/2007/04/06/tensor-products-of-abelian-groups/#comment-28042So maybe the “easiest example” would be 11×11 = ×(10+1,10+1) = ×(10,10) + ×(10,1) + ×(1,10) + ×(1,1) = 100 + 10 + 10 + 1 = 121.
]]>Comment on Conservation of Electromagnetic Energy by The Electromagnetic Geon and spherical harmonics | Kugelblitz
https://unapologetic.wordpress.com/2012/02/17/conservation-of-electromagnetic-energy/#comment-28025
Fri, 03 Apr 2015 21:08:06 +0000http://unapologetic.wordpress.com/?p=10414#comment-28025[…] Conservation of Electromagnetic Energy […]
]]>Comment on The Radon-Nikodym Chain Rule by John Armstrong
https://unapologetic.wordpress.com/2010/07/12/the-radon-nikodym-chain-rule/#comment-28018
Thu, 02 Apr 2015 19:18:21 +0000http://unapologetic.wordpress.com/?p=6427#comment-28018Because is the Radon-Nikodym derivative of with respect to . To put it another way, you know that there has to be one, since (because is transitive), so we can call it , and it’s uniquely defined (-a.e.). But the product satisfies the same condition as : you can get the -measure of any set by integrating either or with respect to over . So they’re equal -a.e. and must be integrable, and so it’s as good a representative for the Radon-Nikodym derivative as any.
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