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This listing is not rated yet.   Rate it!  |  Report it! ChapterZero http://www.tangentspace.net/cz/ Category: Blog Directory » Science Blogs » Math Hits: 2 Date added: 2006-03-30 21:51:18 Alexa traffic rank: 4,505,592 Site language: EN Site encoding: US-ASCII

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ChapterZero Latest Posts

A buddy system
My officemate and I have decided to take 30 minutes or so a week to inform each other about various mathematical topics�" on the theory that teaching helps you to cement your own knowledge. I’ll be teaching him something relating to my research, and vice versa: he’ll probably be teaching me... Read more...
Published 6 days ago

A little (combinatorial) graph problem
For what is it possible to have a -regular graph on vertices? I thought about this a little while last night: it’s equivalent to asking how many hollow (the diagonal is zero) symmetric binary matrices satisfy for all . I haven’t seen a way to exploit this equivalence, so maybe there is... Read more...
Published 6 days ago

A Sobolev inequality
It turns out that if is in , , where depend on the dimension. I have no idea how to prove this in general, and don’t really care. BUT, it makes for a nice problem in the one-dimensional case. Show that if (i.e. its second derivative exists and both it and its first and second derivatives are... Read more...
Published a week ago

C[0,1] is not a metric space
Show that there is no metric on such that pointwise convergence and convergence in the metric coincide. Read more...
Published 2 weeks ago

The Gelfand representation theorem
I finally read up to the Gelfand representation theorem in Murphy’s book. This is such a beautiful mathematical result that I couldn’t resist the urge to share it. I tried to write this synopsis so anyone who understands the Banach-Alaoglu theorem should have no problem following the gist of... Read more...
Published 2 weeks ago

A Rademacher comparison theorem?
Given Rademacher variables , what can we say about versus ? Anything? Read more...
Published 3 weeks ago

Ideals in Banach algebras
I came across the following statement while reading Murphy’s book (Theorem 1.3.1): “If is a proper ideal in a Banach algebra, then is also proper.” Quick recap: a Banach algebra is a Banach space with a multiplication operation, such that the norm is submultiplicative (). A prototypical... Read more...
Published 3 weeks ago

Pharell?
Tonight’s been an insomniac night, just checking out a bunch of blogs. Feeding the addiction Anyhoo, in the background, I’ve been youtubing various people. For the first time I listened to some of Pharell’s stuff: I’ve been a fan of his forever, because he demonstrably doesn’t think... Read more...
Published 3 weeks ago

In which a feminist confuses transsexuals with transgendered and hates them both
Occasionally I come across so-called feminist blog entries that strike me as particularly vile. Today, one of the articles in the latest Carnival of the Feminists linked directly into the blindered underworld of ‘feminists’ who ascribe everything to twisted male sexuality and the desire for... Read more...
Published 4 weeks ago

Rihanna
Shhh! Don’t tell anyone … I’m a Rihanna fan. I used to think she can’t sing, but I’m steadily losing that conviction�" her voice still isn’t the greatest, but maybe she’s been taking lessons, or I’m being brainwashed by the media saturation. At any rate, my stanness is not... Read more...
Published 4 weeks ago