Comments for The Unapologetic Mathematician
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Mathematics for the interested outsiderMon, 27 Apr 2015 05:06:51 +0000hourly1http://wordpress.com/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.
]]>Comment on The Radon-Nikodym Chain Rule by egfdgfg
https://unapologetic.wordpress.com/2010/07/12/the-radon-nikodym-chain-rule/#comment-28017
Thu, 02 Apr 2015 17:52:30 +0000http://unapologetic.wordpress.com/?p=6427#comment-28017how do we know fg is lamda-integrable?
]]>Comment on Root Systems Recap by isomorphismes
https://unapologetic.wordpress.com/2010/03/12/root-systems-recap/#comment-27914
Wed, 11 Mar 2015 21:26:46 +0000http://unapologetic.wordpress.com/?p=5495#comment-27914Reblogged this on Human Mathematics.
]]>Comment on Root Systems by John Armstrong
https://unapologetic.wordpress.com/2010/01/20/root-systems/#comment-27913
Wed, 11 Mar 2015 13:16:58 +0000http://unapologetic.wordpress.com/?p=4942#comment-27913“program and data”, on the other hand, keeps it closer to the topics in Gödel Escher Bach, which a lot of math people are also fans of.
]]>Comment on Root Systems by isomorphismes
https://unapologetic.wordpress.com/2010/01/20/root-systems/#comment-27912
Wed, 11 Mar 2015 11:02:19 +0000http://unapologetic.wordpress.com/?p=4942#comment-27912

both program and data

I like to say “both verb and noun” — keep it closer to elementary school level when possible ;)

]]>Comment on Orders by isomorphismes
https://unapologetic.wordpress.com/2007/03/11/orders/#comment-27825
Thu, 19 Feb 2015 15:32:08 +0000http://unapologetic.wordpress.com/2007/03/11/orders/#comment-27825Thanks!
]]>Comment on Orthogonal and Symplectic Lie Algebras by thomas leow
https://unapologetic.wordpress.com/2012/08/09/orthogonal-and-symplectic-lie-algebras/#comment-27464
Fri, 16 Jan 2015 09:52:57 +0000http://unapologetic.wordpress.com/?p=10599#comment-27464Thank you for sharing.

I calculated 2 l square + l basis elements for symplectic algebra.