Iaroslav Karkunov

5 Questions 11 Answers 0 Followers

Questions related from Iaroslav Karkunov

Let R - be some relation. Generate the smallest equivalence relation that contains R. Do this relation have the next property? (see below)

R generates the equivalence relation a ~ b if and only if there exist elements x1, x2, ..., xn in X such that a = x1, b = xn, and (xi,xi+ 1)∈R or (xi+1,xi)∈R, for i = 1, ..., n-1.

02 February 2015 1,638 5 View

Is it true that group is the product of two trivially intersecting normal subgroups?

Let K - group with normal subgroups N1 and N2. Intersection of which is trivial N1 \cap N2 = {e_k} and quotient groups of K by those normal groups are isomorphic to: K/N1 = N2, K/N2 = N1. Is it...

02 February 2015 3,209 9 View

Is group K = Im (\gamma) Im(\delta)?

K, G, H are groups. Please see the 'Task 1' file for the description of the question and 'Task 2' for the description of the direct product of groups.Question is connected...

02 February 2015 6,488 1 View

What is the expectation of the minimum number of coin tosses to get heads and tails in a sequence? Generalizing problem to n-states.

Does anyone know the distributions of those in the general case? We will need them to calculate, for example 'how many time in average do we need to roll a dice to get all six states'? I've...

03 March 2014 7,626 9 View

In what way do Poisson measures describe population?

In the paper below (see attached URL) the author states that Poisson measures "can be used to describe a population of random size living in a zero-dimensional space" (page 17). I have several...

02 February 2014 8,303 5 View