Igor Germanovich Korepanov

5 Questions 19 Answers 0 Followers

Questions related from Igor Germanovich Korepanov

Independent copies of random variables and some specific probabilities: how are they interrelated?

Let A and B be two random variables, let indices i and j take finite numbers of values, and let Ai and Bj be mutually independent copies of A and B. That is, all Ai and Bj together are mutually...

03 March 2018 7,940 3 View

Can a complicated algebraic function be proved to be identical zero, based on a reasonable number of its zero values for some tuples of arguments?

Suppose there is a polynomial P(x) of degree ≤ n (and in characteristic zero). Then, if P(x) takes value 0 for n+1 different values of x, then all its coefficients are actually zeros. Let,...

12 December 2016 316 19 View

Factorization in a coordinate ring?

Suppose I have an affine algebraic variety, and I suspect that a certain element of its coordinate ring can be represented as a product of two elements having some nice form. Are there computer...

11 November 2014 2,910 4 View

Also, integrable models?

Also, "integrable models" in mathematical physics -- with much the same algebraic structures -- are well understood in dimension 2, not well in dimension 3, and virtually nothing above that!...

01 January 1970 9,483 3 View

If only one-cycle terms are left in a determinant - what is it called?

The determinant of an n*n square matrix consists of n! terms that correspond to all permutations of the set of n elements. Each permutation can then be decomposed in a product of cyclic ones. And...

01 January 1970 6,611 11 View