April 15th, 2005

beartato phd

(no subject)

Lately I have been staying up relaly late either reading about math on Wikipedia, or discussing it with my housemate Andreas. Neal mentioned "Differential Forms" earlier today while giving me a ride home from the weekly hotdog outing.

From the wikipedia article on them, there occurs the pair of sentences:
In differential geometry, a differential form of degree k is a smooth section of the kth exterior power of the cotangent bundle of a manifold. At any point p on a manifold, a k-form gives a multilinear map from the k-th cartesian power of the tangent space at p to R.
I astonished myself by (after some poking around for definitions and contemplation) understanding both sentences' content, though I'm still not sure why the second is true. I guess I would expect the domain to be the k-th exterior power of the tangent bundle at p, not the cartesian power. Anyway, I've still got the definition of integration over k-forms to understand before I can really know what the über-general form of Stokes Theorem is saying. Although it looks a fuckton like an adjunction to my late-night- and category-theory-addled brain. Like, boundary is (left/right) adjoint to derivative, assuming integration can be thought of as, er, hom-set formation. If you squint really hard, see.
beartato phd

(no subject)

I tried doing the random distance run this year. The idea, for those of you not familiar with it, is they roll one die, and you have to run that many laps (i.e. that many quarter miles) and then they roll another die once the first few among the crowd get close to finishing that much, and you run that many laps. The first roll was a 4, and I was like, okay, maybe I can run a mile without collapsing, and I did. And then the second roll was a 5, and I bailed. I'm really impressed that everyone else I knew there actually finished at all, and some of them even placed pretty well.

Before that, did some music again, and although there were some rough spots on songs I was less familiar with, "angel eyes" and "such great heights" are sounding very good.
beartato phd

(no subject)

Had a scare that I lost my (only very recently purchased) only non-expired Epi-Pen, but I retraced my steps and found it on the floor in Doherty.

Now clicking on a page in firefox and hitting the spacebar no longer pages down a page. Even after I restart! Eloi, Eloi, lama sabachthani?

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Answer to firefox problem: went to about:config, set accessibility.browsewithcaret to false. How the hell did it get turned on in the first place? I have no clue.
beartato phd

(no subject)

I'm sitting in the UC listening to some college-age kids speaking French. It is pretty fucking beautiful. The last thing I heard this good was a couple very quietly speaking swiss german in front of Starbucks.