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Archive for the “Mathematics” Category

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Ergodic hypothesis

By Hal Canary

“All accessible microstates are equally probable.”

In other words, don’t be surprised at your cards. It’s as likely as anything else that could have happened.

Hal Canary | Mathematics | 2004-03-17 11:58:07 UTC
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Platonism.

By Hal Canary

Mark said some things the other day that I didn’t respond to because I was drunk. Here we go:

General Platonism is the belief that there exist transcendent truths. That’s it. Nothing more here. One of these truths is “(ZFC)=>(1+2=3)”. I won’t even comment on whether or not ZFC is true.

So, to conclude, General Platonism is a belief, yes, but it cannot be considered a religion.

Hal Canary | Mathematics | 2003-10-12 13:15:27 UTC
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Applets for SSL

By Hal Canary

[rotor model] Been doing some Java programing for math. I’m getting paid to do this too! I’ve written two applets that deal with a rotor-based sandpile model.

Hal Canary | Mathematics | 2003-09-25 21:17:51 UTC
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My paper

By Hal Canary

toad

My paper, Aztec Diamonds and Baxter Permutations can now be found at arXiv:math.CO/0309135.

Hal Canary | Mathematics | 2003-09-07 17:40:34 UTC
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The Fall

By Hal Canary

This fall I’ll probably be taking math 741 (Abstract Algebra – finite groups and noncommutative rings) and 744 (Algebraic Graph Theory). These classes will kick my ass.

Hal Canary | Mathematics | 2003-08-12 13:04:08 UTC
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the n Queens problem

By Hal Canary

Learned a new sequence today: 1, 0, 0, 2, 10, 4, 40, 92, 352, 724, 2680, 14200, 73712, 365596, 2279184, 14772512, 95815104, 666090624, 4968057848, 39029188884, 314666222712, 2691008701644, 24233937684440… There doesn’t seem to be a closed form solution to this one.

Hal Canary | Mathematics | 2003-08-03 21:55:51 UTC
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ALGEBRA!

By Hal Canary

Worked most of the night on algebra. Took exam this morning. I think I got three out of four problems right. Am happy with that.

I need to work harder in this class. I think it’s important. Abe suggests I check out this book.

Hal Canary | Mathematics | 2003-03-13 17:06:51 UTC
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From Today’s Algebra Class

By Hal Canary

You can define a natural isomorphism from HomR(R(Λ1), R(Λ2)) to (R(Λ2))Λ1. (Where HomR(R(Λ1), R(Λ2)) is the R-linear homomorphisms from R(Λ1) to R(Λ2).)

HomR(R(Λ1), R(Λ2)) —> R(Λ2) , Λ1

If f is an element of HomR(R(Λ1), R(Λ2)) then that map sends f to [f], a (Λ2) , Λ1 matrix.

Isn’t that the most beautiful thing you’ve ever seen?

Hal Canary | Mathematics | 2003-03-11 12:18:01 UTC
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