Hello, it may look long but if written down-
is really quite short, I have only included a detailed explanation to try and be more clear.
My question is; I am doing a change of variable which doesn't seem to 'fit' the theory of finding the jacobian to make
the transformation. It seems to me...
I refer you to the bibliography item in my thesis:
1. B.F. Logan and L.A. Shepp. A Variational Problem for Random Young Tableaux. Ad-
vances in Mathematics, 26, 1977, 206-222.
The problem is solved now using lebesgue measure...
Hello, I tried this in analysis but maybe it is a more topological question. If given a function f on R such that \int_R f(x)dx = 1 and is decreasing and 1-lipschitz, show that
the function g(y) = min{x,f(x)} where y = x-f(x) and x>=0, also satisfies \int_Y g(y)dy=1.
I really would...
Hello, I have a tricky integral to show positivity of. Here are the knowns: f is piecewise linear continuous, f' <= abs{2}, H(s) = 0
between -1 and 1, and s[ln(s)+- sqrt{s^2 -1}] +- sqrt{s^2 -1} otherwise.
I wish to show that int [f'(s)H(s)]ds outside interval [-1,1] is positive. One...