Print Story I am an orthonormal eigenbasis.
By gzt (Thu Dec 08, 2011 at 02:05:50 PM EST) gzt, ants, chess, mail, tao, measure theory, zoidberg (all tags)
End-of-year oblom is setting in. Need more moneys, too.

At the office Christmas party, I accidentally backed into a waitress carrying a lot of glassware with predictable results. Still, a good time was had by all.

I'm flipping through Terry Tao's draft of his measure theory book, I like its approach and might work through some things to remember what real analysis is like. I've only looked at the first chapter so far, though. I'm going to buy a copy of Royden because there's a new edition, which means the old edition I am used to is cheap.

Dr. Zoidberg is one of my favorite characters ever. I empathize. I feel like Zoidberg at work, except people like me and I don't quite smell as bad.

The wifing unit and I watched Ghostbusters last night because she had never seen it. She also has been sick, so she has not done much.

I'm not terribly productive at the moment. Or for the past couple weeks.

Do not like new gmail layout. Other layout was adequate. Unsure if new one is bad or if I am just grumpy.

Annoyed: I'm going to be at my parents' for Christmas and the church there hasn't posted the Christmas service schedule. They've sometimes had midnight services for Christmas, sometimes just doing it in the morning. I don't care either way, but I want to know so I can let other people know.

I read a little bit about the Argentinian megacolony. It's mildly spooky until you realize that the technical sense of "colony" is different from what one would usually expect. It essentially means the ants recognize each other and play nice. I think the mental model we have which makes it disconcerting is that it involves interconnecting tunnels or communication or something. Argentinian ants are apt to form megacolonies in this way because, unlike most other species of ant, they have a high tolerance for each other. With most other species, anthill A will attack the members of anthill B across the yard because they recognize that, although they're the same species, they're in different hills. Essentially. Exact details may vary. The Argentinian ants play cool.

The next two matches we're supposed to play in chess are against university teams, and it's been a struggle to schedule them because of the end of the semester. So we're bumping them all the January and seeing if we can get one of our January matches out of the way before Christmas. Should be good.

< continuing the riddle week (weak) | last of the riddle weak (and a nice easy one) >
I am an orthonormal eigenbasis. | 7 comments (7 topical, 0 hidden)
Ants by sasquatchan (2.00 / 0) #1 Thu Dec 08, 2011 at 02:38:01 PM EST
Phase IV..  It was a warning.

Ah, eigenvalues/vectors/etc. Never quite figured out the "so what" part of it .. Hated computing them by hand, but linera algebra was my rude intro to college level maths (vs high school).

computing by hand sucks by gzt (2.00 / 0) #3 Thu Dec 08, 2011 at 05:00:54 PM EST
they're really handy - about the only thing i might care about in half of the applications i have for linear algebra. but they're completely mysterious when you're just fiddling around with matrices themselves.

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i never understood by the mariner (4.00 / 1) #4 Sat Dec 10, 2011 at 08:15:03 PM EST
how students could say they don't understand eigenvalues and eigenvectors. you have some complicated object that doesn't even commute with other objects like it multiplicatively, but it acts on some bunch of one dimensional subspaces by ordinary scalar multiplication. how can you say "so what?" to that? this seems like it would obviously be useful.

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Part 2 by gzt (2.00 / 0) #2 Thu Dec 08, 2011 at 04:40:23 PM EST
Starting on nominal page 210 (226 of the PDF) of the Terry Tao book is a discussion of some very nice problem solving tips for real analysis. Of course, having passed a real analysis class, I worked a lot of these out the hard way. I think I would've had an easier time if I knew had this document coming in.

For some reason 2.1.18 (A real limit can be viewed as a meeting of the lim sup and lim inf.) sticks out in my memory from class. Our professor seemed to use it a lot. Or it could just be that he liked Fatou a lot. Or everybody likes Fatou a lot and he wasn't unique. Or something, I don't know.

hm, i'd like to take a look at that, by the mariner (2.00 / 0) #5 Tue Dec 13, 2011 at 12:12:19 AM EST
but being in china atm, i can't seem to access his site :<


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most places I could think of to drop it... by gzt (2.00 / 0) #6 Tue Dec 13, 2011 at 09:37:17 AM EST
...are probably also banninated in China.

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no worries. by the mariner (2.00 / 0) #7 Wed Dec 14, 2011 at 06:16:28 AM EST
i'm sure if i look around i can find it. 

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I am an orthonormal eigenbasis. | 7 comments (7 topical, 0 hidden)