The more ideas and possible mixes and matches a law department manager has available to choose from, the more permutations there are. Obvious, yes, but what are the mathematics? Let's consider an ...

Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

Permutation codes are mathematical constructs that utilise the properties of permutations to encode and protect information, with applications spanning powerline communications, flash memory storage ...

Size-biased permutation (SBP) is a random arrangement of frequencies of distinct categories in the order in which the categories appear for the first time in the sampling process. We study the ...

Given how little algebra, arithmetic and Euclidean geometry have changed in the past century, the perpetual debates about how we should teach math are more than a bit puzzling. The discontent with ...