Using word duration as a representative of pronunciation variation, the objective of this research was to delineate a set of variables known to affect word duration and determine the total amount of variation in duration accounted for by them in a multiple linear regression model. More importantly, computing the amount of variation each variable contributes (independently of the others) is cruc...

Let f be a normalized eigenform of level N` for some positive integer α and some odd prime ` satisfying gcd(`, n) = 1. A construction of Deligne, Shimura, et. al., attaches an `-adic continuous two-dimensional Galois representation to f . The Refined Conjecture of Serre states that such a representation should in fact arise from a normalized eigenform of level prime to `. In this thesis we pres...

We determine the Smith normal forms of the incidence matrices of points and projective (r − 1)-dimensional subspaces of PG(n, q) and of the incidence matrices of points and r-dimensional affine subspaces of AG(n, q) for all n, r, and arbitrary prime power q.

The paper is devoted to solution of some problems in nuclear power station generating unit intellectual control systems using genetic algorithms on the basis of control system model development, optimizations methods of their direct quality indices and improved integral quadratic estimates. Some mathematical vector models were obtained for control system multicriterion quality indices with due ...