Yeah Artin! Thats the book! Best book on AA I've seen. He uses matrices to demonstrate the AA. And we all know how useful and applicable matrices are. Not much on number theory though. But, there are Lots of proofs, Lots of problems, and lots of clear explanations. I do not know much...
This is like...
a^2+b^2 >= ab, right?
take (a-b)^2 >= 0.
(a-b)^2=a^2+b^2-2ab.
so a^2+b^2 >= 2ab >=ab.
so now u want a^2+b^2+c^2,
so take (a-b-c)^2, and (a+b-c)^2, etc...
and do the same sort of thing, a bit trickier though.
Does anyone know anything concrete about the application of nonlinear chaotic dyamical systems to psychology? I have come to find out that there is a substantial amount of research being done on this. I read some articles today where people were trying to apply this to dysfunctional families...
Thanks fourier, that's the kinda thing I wanted to hear :smile:
Ive never heard of Graham, but i will certainly look into it.
hehe perhaps his inspiration was alaska itself :smile:
I watched on Sagans Cosmos once that Einstein probably developed some of his ideas while riding his bike...
hmmm. that doenst really help me any. what's wrong with alaska? do you know something I dont? as far as i can tell its a place of stunning natural beauty. but all that is beside the point. that wasnt my question, and I don't think going there is going to help me find it out.
Am I asking a...
Hello everyone, I am looking for some advice about a decision I am about to make.
I am just finishing up degress in math and physics at U of MN and am starting to look at grad schools for fall 2005. My problem is that I want to incorporate aesthetic beauty into the whole operation.
Heres...
not quite 50/50
Did you know that getting H or T on a coin flip is not actually 50/50? Its more like 51/49 in favor of the side facing up when u flip it. So, next time yer playin games for money, remember that!