Wednesday, September 23, 2009

Update from Budapest...

Erdélyi-Szabó (Logic):
* "Now we are ready to define truth" writes Def. Truth on the board. Steps away from it, looks at the board, looks at the class for about 5 seconds, and continues the lecture.
* (On Tuesday) "If it is Thursday, I am an idiot. If it is Thursday, I am a f... genius."

Komjáth (Set Theory):
* "The whole word is a directed graph... sort of."
* (About once a week) "Set theory must eat up everything."
* "We have reduced the problem to a more complicated one."
* "You should not confuse infinitely many steps in a proof with infinitely many steps."
* "We already know from kindergarten that aleph_null plus aleph_null equals aleph_null."
* "If you need free will, you can't do it infinitely many times."

Hermann (Group Theory):
* "Look at 12. If I am not mistaken, it is (2^2)*3."
* "After you believe these things, it is easy to prove."
* "Notice that this h is different from the earlier one. That had a double index, this has a single index. Quite a difference."

Küronya (Topology)
*"Everything I wrote was correct. But it had nothing to do with the task at hand."
*"It often happens, I say one thing and write another. Typically one is correct."
*"All this fancy formalism tends to obscure things at first, but later on, that's all you'll have."

Stipsitz (Analysis)
* "These are the properties we will never question. Until we do... which I'll probably do in a week or two"

Monday, January 12, 2009

Eigenraptors

The Eigenraptors of Asia correspond to extinct Eigensaurs. The Eigensaurs -- called L1, L2, ..., Lk until species names are announced -- were separated by orthogonality of the mountains in which they lived. This independence of lines of Eigensaurs shows that the Eigenraptors -- V1, V2, ..., Vk, again until species names are announced -- are also linearly independent.

Based on these Eigenraptor findings, paleontologists conjecture that Asia is diagonalizable into k "extinct zones" (sometimes called the "null zones" due to the local mass extinctions that took place in them). These zones follow mountain ranges and the sum of the numbers of species in each zone adds up to the total number of species in Asia. That is, none of the species in a given zone exist in any other zone.