Dear all, All I have in my life is a smooth function f: R^n - R. This function is equivalent to a n-dimensional manifold M embedded into R^{n+1}. The ambient space R^{n+1}...

Let M be a real analytic (C^w) manifold. Suppose each of f : M - M and g : M - M is a C^w self-diffeomorphism of M, such that f and g are not C^w conjugate. Is it...

1. Sagan's Identity For Carl Sagan (1934-1996), an astronomer, science popularizer, novelist, and humanist: 1 + 5^k + (3+2y)^k + (3-2y)^k + (-3+3y)^k + (-3-3y)^k = (-2+x)^k...

Hi, Let beta0. For any square-integrable function g:R\to C, let F(g) = max_{x0} e^{-beta x}/(|\hat{g}(x)|^2). I'd like to know: what is the minimum of F(g) over all...

Hi, I want to start to research in GGT, but I want to know a base texts: books and main research articles. I want something that teach the basics of the topic and something...

Hello, Perhaps you may be interested to check out the conjecture, which I have made lately ? NO "n" exist, such that ( n! + prime(n) ) yields integral m^k where k1

One month ago I received a response from a referee, which included the following: "In 1928, I.J. Schoenberg proved that the asymptotic density D(u) of the integers n with...

New free electronic high quality journal: Abstract Analysis http://www.aanalysis.net sherman

Dear NG, So here's a conjecture I'm trying to work out. Let A be a reduced commutative unitary ring and T(A) its total quoitent ring. If T(A) is regular (in the sense of...

Also available at http://math.ucr.edu/home/baez/week269.html August 30, 2008 This Week's Finds in Mathematical Physics (Week 269) John Baez No fancy math today. I've been...

Consider the matrix A = (1/(i b + lambda_r - lambda_s))_{r,s} where b is a non-zero real the lambda_r's are reals such that | lambda_r - lambda_s|=1 for all r,s...

A set X in Rd is said to be m-convex , m.$(A!](B 2 , iff for every m distinct points in X at least one of the line segments determined by those points lies in X. ...

I have read the proof of the H-L theorem (a global version of the inverse function theorem) in Abraham, Marsden & Ratiu, Manifolds, tensor analysis, and applications, 2nd ed....

I had proved recently that between any two consecutive multiples of any natural number n1 exists at least one integer k such that (k, i)=1 for all i in the interval (I...

Do you think everything about Fibonacci numbers is easy? I thought so too until I came across this: Write P=(1+sqrt(5))/2. Assume that the interval contains an integer....

Hi! I developed an unbreakable encryption method that will replace the One Time Pad. I know that sounds unlikely, as so many people have attempted this and failed. I have...

Pondering operator algebras and their relation to measure theory, I've blundered into this question: Are second-countable locally compact Hausdorff spaces Polish? A Polish...

Consider the matrix A = (1/(i*beta+r-s))_{r,s} where I am indexing things by r,s rather than i,j just so as to avoid conflicts with the imaginary unit i. (Here beta is...

Dear all, I hope this is the right group to ask for help---else feel free to point me right, as I do not wish to upset anyone by cross-posting. I am looking for a way to...

I don't really read French, but this is evidently an announcement of the death of one of the premier mathematicians of the 20th century. This just off the ALGTOP-L Digest: ...