Proceedings of the American Mathematical Society, Vol. 140, No. 11 (NOVEMBER 2012), pp. 3749-3760 (12 pages) In this paper, we will give a recursion formula for double Hurwitz numbers by the cut-join ...

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...

This study presents recursive relations on the permanents of k – tridiagonal Toeplitz matrices which are obtained by the reduction of the matrices to the other matrices whose permanents are easily ...

What if machines could not only learn but also teach themselves to become better with each iteration? This isn’t the plot of a sci-fi movie—it’s the reality unfolding in artificial intelligence ...

In this issue of The Journal of Credit Risk we present two research papers and two technical reports. The first research paper is "Recursive formulas for the default probability distribution with ...