Several topics concerned with multivariate polynomial matrices like unimodular matrix completion, matrix determinantal or primitive factorization, matrix greatest common factor existence and subsequent extraction along with relevant primeness and coprimeness issues are related to a conjecture...

In this paper we extend the the notions of characteristic set and characteristic value of a prefilter (cf. [13]) to the setting of T–filters and –filter bases (cf. [8]) in the lattice valued context of complete -algebras. This notion allows us to reinterpret the κ–condition and...

This paper presents the use of ordered logit and probit models to bring light on the most significance factors that considerably change the severity of vehicle damages in bus accidents in 2002 in Turkey. Data recorded by The Department of Traffic Training and Research of General Directorate of...

In 1999, J.C. Mattingly and Ya. G. Sinai used elementary methods to prove the existence and uniqueness of smooth solutions to the 2D Navier-Stokes equations with periodic boundary conditions. And they were almost successful in proving the existence and uniqueness of smooth solutions to the 3D...

In the presented study the new variance-free test for heteroscedastic normality is suggested and its power reported. The test is illustrated on the example of the empirically observed financial return time series. The results of the testing are consistent with the key theoretical concepts that...

In medical, biological and social science, three dimensional contingency tables with ordered categories usually arise and one expects a monotone association yet one may prefer not to assume a particular parametric model. One of its key roles is how to estimate its parameters under monotonic...

This paper studies a model of delayed bang-bang control under periodic sawtooth forcing. Solutions with the same period as the forcing are constructed analytically. A simple two-parameter diagram showing the domain of existence of such solutions is derived

Let be any -type Lie algebra with l ≥ 2 over an algebraically closed field F of characteristic 5. Let V be an irreducible L-module corresponding to some points and let p : () ⇾ (V) be its corresponding representation. In this paper, in order to prove that the equality about the versus...