Hi, Is there any known sequence such that the sum of a combination of one subsequence never equals another subsequence sum. The subsequences should have elements only from the …

Hi, In the case where we are dealing with an infinite random graph (RG with infinite nodes). How do we model/work with notions like degrees, degree distribution ? How are they de …

Consider an infinite set $S$, of positive integers. If all the finite subsets of $S$ have GCD $>$ $1$, is it necessary that the GCD of $S$ is greater than $1$ as well?

Given the complex variable $x$, complex constant $c$, and integer number $r$. I want to solve the equation: $\sum_{k=1}^{\infty}\frac{e^{kx}}{k^r}=c$. I was thinking that if there …

It is not difficult to show (even without Weyl criterion) that the sequence $\sqrt{n}$, $n=1,2,\ldots$ is equidistributed mod 1. However, I need a reference to this result. Can you …

This one is an unanswered question in Math.SE. I've posted it here because I think it deserves more attention. How many sequences $\{a_n\}$ exist satisfying: a) $a_1=0$ b) …

I am creating a circular neural network with N nodes. Each node is connected via a send pathway to every other node, and the connection between two nodes has a weight. Any number s …

I have this sequence of form 1, 1.1,1.2,1.3,...., 2, 2.1, 2.2, 2.3,....., 3, 3.1, 3.2, 3.3, ..., 4, and so on

The problem: How to find this sum? $$\sum_{a=0}^{\infty}\frac{1}{(\frac{(a(p-1)+b)!}{p^{q_a}} \mod p) \times p^q}$$ where: $p \in Primes$ $b \in \mathbb{N}\quad$, $0 \leq …

How do I output an interval that is of the form I_1 = [a_1,b_1]? If I have more intervals, say I_2, the interval [a_2,b_2] should be different than I_1. if I want to print these o …

I made a journal on the behaviour of functions such as Infinite series of 1.sin(sin(sin(........(x))) 2.cos(cos(cos(........(x))) 3.tan(tan(tan(........(x))) 4.cos(sin(sin(..... …

Quoting from http://en.wikipedia.org/wiki/End_(topology): "Let X be a topological space, and suppose that K1 ⊂ K2 ⊂ K3 ⊂ · · · is an ascending s …

This question came to me while reading the discussion of http://mathoverflow.net/questions/53352/ "magic square in the complex plane with equal integrals along every horizontal, ve …