Recent content by mathlete

Bad notation on my part. It's shorthand for the inner product, yes: ai*bk_1+ai*bk_2 + ... + ai*bk_p where the bk are chosen as stated above.

Sorry, you're right -- I fixed the example. And yes, each b vector has the same number of preferences listed, but we don't necessarily know how many (though we can assume it's > p and < n).

I have two sets of vectors: A: a1, a2, a3... an B: b1, b2, b3... bm n > m and n/m is an integer, p. Each vector bi has ranked, in order of preference, a set of vectors from A. For example, b1 may "prefer" a1, a9, and a10. The only constraint on this set is that each vector ai from A appears...

Never. Also, humans will never do the following things: - Harness fire - Understand gravity - Make a heavier than air object fly - Put a man on the moon - Cure diseases These things are way too complicated. Never going to happen. Sorry. But seriously, I can't believe people are voting never...

edit: Take the numbers with numerator 1. They clearly form the sub-sequence 1/(k+1) k=1...∞ Now, these occur at: 1/2 -> position 1 1/3 -> position 2 1/4 -> position 4 1/5 -> position 7 1/6 -> position 11 1/n -> position ?? Hint: the distance between positions increases by one every time...

My analysis professor said one similar to this. "Let epsilon be large and negative..."

Try this? Applied Analysis by J. Hunter http://www.math.ucdavis.edu/~hunter/book/pdfbook.html It's free at least

I used Bransden's book, and to be honest I didn't really like it. It seems more like a graduate/reference text. I just don't like books that are too pedagogical and have a very scant number of problems/examples (as introductory texts).

Does anyone know of any good books (preferably not introductory textbooks, otherwise I'll never get through them) geared towards or recommended for physicists who are learning biology for the first time? Something like the equivalent of Feynman's Lectures would be perfect, but I'm open to any...

They have universities there? I thought the education went up to like high school in those countries

So far I've gotten back: Carnegie Mellon Rutgers Johns Hopkins I did a lot worse than I thought I would on the subject GRE (to the point where I think I misbubbled somewhere since I did a lot worse than I did on the harder practice tests). I just don't know if I want to go to any of those...

Am I the only one who hates that damn E&M Griffiths book?

Homework Statement I'm given a relativistic Boltzmann gas and told to find the entropyHomework Equations \epsilon = pc p = 3d momentum c = speed of light The Attempt at a Solution I tried to start by finding the partition function, from which I can just take the derivative, but I don't know...

Women and minorities (not Asians) definitely have unfair advantages in the hiring process; some professors even told us when the physics department here was hiring that they gave extra consideration to applicants in those groups because they are underrepresented in the field.

I grace them with a new puzzle to decode every week in the form of my homework :D