Recent content by deathprog23

Nice hint! I got it now, thanks very much :)

I have been stumped by a simplification problem - well, I can solve it, but I'm not sure how to do it axiomatically! The expression is A(B+C)+B'D+C'D' I can see that the (B+C) is redundant in the first term - if A is true, the whole is true regardless of (B+C)'s value. So it reduces to...

I'm trying to find the papers where a rather dramatic result on billiard systems was proved: for 'typical' perturbations away from an integrable billiard, the system becomes ergodic. Even a paper mentioning such a result would be good start - all I have to go on at the moment are names given...

Ah, sorry - I should have explicitly pointed out that f(x)=f(b-a,x). In fact, what I'm looking at is the average slope of a function g(x), which has range [0,1] and domain [a,b]. Thus f(x)=\frac{dg(x)}{dx} and its integral over the domain must give 1. The asymptotic properties must...

Hello, I am interested in the average behaviour of the log of a function. I know the average of the function over the range of interest: F = \frac{1}{(b-a)} \int_a^b f(x) dx. I also know that f(x) is convex and bounded from below by 1. I want to know the average \frac{1}{(b-a)}...