Comments for Felix' Math Place http://math.fontein.de Focussed on, but not limited to Computational Number Theory Tue, 27 Jul 2010 09:58:50 +0200 http://wordpress.org/?v=2.8.4 hourly 1 Comment on Rigorous Arithmetic in the Arakelov Divisor Class Group of a Number Field. by spielwiese. » blog archive » nancy. http://math.fontein.de/2010/07/27/rigorous-arithmetic-in-the-arakelov-divisor-class-group-of-a-number-field/comment-page-1/#comment-117 spielwiese. » blog archive » nancy. Tue, 27 Jul 2010 09:58:50 +0000 http://math.fontein.de/?p=778#comment-117 [...] which was held in nancy this time (two years ago, it was in banff). this year i also presented a poster. here are some impressions from the [...] [...] which was held in nancy this time (two years ago, it was in banff). this year i also presented a poster. here are some impressions from the [...]

]]> Comment on Homomorphisms, Tensor Products and Certain Canonical Maps. by Felix Fontein http://math.fontein.de/2010/01/29/homomorphisms-tensor-products-and-certain-canonical-maps/comment-page-1/#comment-113 Felix Fontein Tue, 09 Mar 2010 06:26:42 +0000 http://math.fontein.de/?p=560#comment-113 Dear Shane, I took the standard <a href="http://wordpress.org/extend/plugins/wp-latex/" rel="nofollow">Wordpress LaTeX plugin</a> and modified it for my purposes. I mainly added support for the align environment and for pstricks though, using XYpic is already possible with the default version in case you use your own server for LaTeX formula generation and not the Wordpress server (i.e. you need latex installed and accessible on your server). In case you can use your own server you can specify additions to the preamble (like \usepackage{xypic} and \usepackage{amsmath}) in the wp-latex options. (I'm not sure if amsmath is included by default, i.e. you can already use the cases environment without further changes; but it might just be that you can't.) With these, you can use any XYpic commands inside the wp-latex math environments. Dear Shane,
I took the standard Wordpress LaTeX plugin and modified it for my purposes. I mainly added support for the align environment and for pstricks though, using XYpic is already possible with the default version in case you use your own server for LaTeX formula generation and not the Wordpress server (i.e. you need latex installed and accessible on your server). In case you can use your own server you can specify additions to the preamble (like \usepackage{xypic} and \usepackage{amsmath}) in the wp-latex options. (I’m not sure if amsmath is included by default, i.e. you can already use the cases environment without further changes; but it might just be that you can’t.) With these, you can use any XYpic commands inside the wp-latex math environments.

]]> Comment on Homomorphisms, Tensor Products and Certain Canonical Maps. by Shane Steinert-Threlkeld http://math.fontein.de/2010/01/29/homomorphisms-tensor-products-and-certain-canonical-maps/comment-page-1/#comment-112 Shane Steinert-Threlkeld Tue, 09 Mar 2010 04:41:55 +0000 http://math.fontein.de/?p=560#comment-112 How do you publish your commutative diagrams, I assume using XY-pic syntax, (and other complex LaTeX, e.g. the cases environment) in Wordpress? None of the plugins / blogs I've seen handle such complex use-cases. How do you publish your commutative diagrams, I assume using XY-pic syntax, (and other complex LaTeX, e.g. the cases environment) in Wordpress?

None of the plugins / blogs I’ve seen handle such complex use-cases.

]]> Comment on The Hasse derivative, part II: Multivariate partial Hasse derivatives. by Felix Fontein http://math.fontein.de/2009/10/02/the-hasse-derivative-part-ii-multivariate-partial-hasse-derivatives/comment-page-1/#comment-61 Felix Fontein Mon, 05 Oct 2009 17:02:52 +0000 http://math.fontein.de/?p=474#comment-61 Ah, I think this is just a problem with notation. When I wrote, “<i>homomorphism of unitary commutative rings</i>”, I assumed that the homomorphism satisfies $\varphi(1_R) = 1_{R'}$. :-) I think I have to make it a bit more clearly, to make it less confusing... Thanks for the hint! Ah, I think this is just a problem with notation. When I wrote, “homomorphism of unitary commutative rings”, I assumed that the homomorphism satisfies \varphi(1_R) = 1_{R'}. :-) I think I have to make it a bit more clearly, to make it less confusing… Thanks for the hint!

]]> Comment on The Hasse derivative, part II: Multivariate partial Hasse derivatives. by Alexey Maevskiy http://math.fontein.de/2009/10/02/the-hasse-derivative-part-ii-multivariate-partial-hasse-derivatives/comment-page-1/#comment-60 Alexey Maevskiy Mon, 05 Oct 2009 14:19:34 +0000 http://math.fontein.de/?p=474#comment-60 Hello! Thank you for this excellent article! I think it will be useful for many peoples. But I note that in the first proposition it is necessary to add one of the following constraints on the ring homomorphism: $\varphi(1_R)=1_{R'}$ or $\varphi^*(x) = \varphi(1_R)x$. If both requirements does not hold its easy to make a counterexample for situation when proposition is false ($\varphi:Z_{10}\rightarrow Z_{10}$, $\varphi(a)=6a$). Hello! Thank you for this excellent article! I think it will be useful for many peoples.
But I note that in the first proposition it is necessary to add one of the following constraints on the ring homomorphism: \varphi(1_R)=1_{R'} or \varphi^*(x) = \varphi(1_R)x. If both requirements does not hold its easy to make a counterexample for situation when proposition is false (\varphi:Z_{10}\rightarrow Z_{10}, \varphi(a)=6a).

]]> Comment on The Hasse derivative. by Felix Fontein http://math.fontein.de/2009/08/12/the-hasse-derivative/comment-page-1/#comment-59 Felix Fontein Fri, 02 Oct 2009 21:29:30 +0000 http://math.fontein.de/?p=277#comment-59 I wrote a first article on partial Hasse derivatives, which can be found <a href="http://math.fontein.de/2009/10/02/the-hasse-derivative-part-ii-multivariate-partial-hasse-derivatives/" rel="nofollow">here</a>. I wrote a first article on partial Hasse derivatives, which can be found here.

]]> Comment on The Hasse derivative. by Felix Fontein http://math.fontein.de/2009/08/12/the-hasse-derivative/comment-page-1/#comment-58 Felix Fontein Fri, 02 Oct 2009 18:05:28 +0000 http://math.fontein.de/?p=277#comment-58 Hi, sorry for not replying earlier, I was not available the last weeks. This sounds interesting, and I will write up something about that. Thanks for the suggestion! Maybe a question for you: are there other facts about (mixed partial) Hasse derivatives which you think are worth showing here? Hi, sorry for not replying earlier, I was not available the last weeks. This sounds interesting, and I will write up something about that. Thanks for the suggestion!
Maybe a question for you: are there other facts about (mixed partial) Hasse derivatives which you think are worth showing here?

]]> Comment on The Hasse derivative. by Alexey Maevskiy http://math.fontein.de/2009/08/12/the-hasse-derivative/comment-page-1/#comment-57 Alexey Maevskiy Tue, 22 Sep 2009 16:01:54 +0000 http://math.fontein.de/?p=277#comment-57 Hi! Perhaps it may be useful to place here some facts about mixed partial Hasse derivatives of polynomials from $R[x_1,\ldots,x_n]$. As for me I worked with polynomials from $R[x_1,x_2,x_3]$ and had to spend a lot of time proving some needed results on its Hasse derivatives. In particular, one of the popular fact is Taylor Formula. Hi! Perhaps it may be useful to place here some facts about mixed partial Hasse derivatives of polynomials from R[x_1,\ldots,x_n]. As for me I worked with polynomials from R[x_1,x_2,x_3] and had to spend a lot of time proving some needed results on its Hasse derivatives. In particular, one of the popular fact is Taylor Formula.

]]> Comment on Infrastructures and Global Fields. by spielwiese. » Blog Archive » wikipedia – pro and contra. and some related ranting. http://math.fontein.de/infrastructures/comment-page-1/#comment-27 spielwiese. » Blog Archive » wikipedia – pro and contra. and some related ranting. Tue, 11 Aug 2009 05:29:11 +0000 http://math.fontein.de/?page_id=259#comment-27 [...] i thought it would be time to add something to the web. i’ve started a series of posts on my math blog on infrastructures, but as google usually ranks wikipedia articles higher, i decided to also add [...] [...] i thought it would be time to add something to the web. i’ve started a series of posts on my math blog on infrastructures, but as google usually ranks wikipedia articles higher, i decided to also add [...]

]]> Comment on Welcome! by Kornel http://math.fontein.de/2009/05/04/hello-world/comment-page-1/#comment-9 Kornel Fri, 22 May 2009 08:08:39 +0000 http://math.fontein.de/?p=1#comment-9 Of course I am interested! :-) There are only not too many mathematical blog posts on my blog in the moment. But perhaps because writing them was so hard up to now. ;-) Of course I am interested! :-)
There are only not too many mathematical blog posts on my blog in the moment.
But perhaps because writing them was so hard up to now. ;-)

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