Hi, Everyone, I have a question related to normal distribution. 1. If X conforms to normal distribution, then the square root of X conforms ? distribution? 2. If X...

Suppose we take the complete bipartite graph K_{m,n}, choose one of the two partite sets, and then add an edge between every pair of vertices belonging to this partite set....

Certainly some people talk about "integers" in an algebraic function field in the ring-theoretic sense -- algebraic functions that satisfy a monic polynomial over the field...

Let A be a nonnegative, symmetric, positive semidefinite matrix. Then A^k is positive semidefinite for all natural numbers k=1,2,... Is it true that A^k is positive...

Dear sci.math.research I am investigating a phenomenon in control dynamics and am stuck on what seems to be an embarassingly simple piece of linear algebra. I want to show...

About a year ago there was a thread on fractional iterations on this newsgroup. I had a go myself at finding a dynamical system in 1 complex variable z(t), such that ...

Hi, let f: E - F be a differentiable mapping of Banach spaces, then it is known that the surjectivity of the total differential Df(a) in one point a in E implies the...

Let L_1 and L_2 be algebraically closed fields of characteristic 0, say of finite transcendence degree, placed algebrically independently (i.e. such that L_1 is linearly...

This message is to add the following three pieces of information to my postings of June 14, 2006 and August 9, 2006. I recall the two addresses where they are posted in...

Kim and Roush posted a paper on ArXiv on friday claiming a counterexample to both the Tate conjecture and the Hodge conjecture. It smells a little bit of a crank article, but...

My current work is on the subject of enumerative combinatorics (in connection with constrained coding theory). My work requires me to consider linear combinations of...

Also available at http://math.ucr.edu/home/baez/week236.html July 26, 2006 This Week's Finds in Mathematical Physics (Week 236) John Baez This week I'd like to catch you...

I ran accross this elegant definition of trace from old usenet archives : Here is one definition. Let V be a finite dimensional vector space, and let End(V) be its ring...

Their photographs, short description of their work, and links to their papers: http://motls.blogspot.com/2006/08/fields-medal-okounkov-perelman-tao.html Sorry for avoiding...

Hi, I consider the function of a complex variable z=x+iy, f(z) = exp + exp + ...+ exp where w_n(z) are the N roots of the characteristic polynomial of the matrix R+zS,...

Suppose given a group Z_n with n numbers, order n, How to find the generator for a given order? for example: I have group Z_11 = { 0,1,2,3,4,5,6,7,8,9,10 } , ...

Hi, I seek a demonstration owing to the fact that the only parallelizable spheres are $S^1$, $S^3$ and $S^7$; and that the only Lie group spheres are $S^1$ and $S^3$. I don't...

Dear all, We have released the hard copy of July issue of Statistica Sinica in which there are articles on multiresolution methods, sensitivity analysis and genetic linkage....

Let F denote a smooth increasing positive function such that \int_0^\infty \frac{dt}{\sqrt{F(t)}}\infty Is it always true that \liminf_{a\to\infty}...

Hi all, someone told me that there exists a theorem of the following kind, supposedly due to Karpelevich and Mostov and from the early 1960s: Let G be a Lie group with Lie...