Named sets is a basic mathematical structure, providing a unified foundations for mathematics and encompassing different generalizations of sets that are studied in mathematics and used in applications. The most important and popular of these generalizations are multisets and fuzzy sets. An...

Let be a smooth compact surface, orientable or not, with boundary or without it, either the real line R or the circle , and () the group of diffeomorphisms of acting on C∞(M, P) by the rule , for ∈ () and ∈ (, ).Let : → be a Morse function and () be the orbit of f under this action. We...

This is an article about foundation of paralogical nonstandard analysis and its applications to the continuous function without a derivative presented by absolutely convergent trigonometrical series and another famous problems of trigonometrical and orthogonal series. In part 1 of the present...

The Archimax copula, which generalizes the Archimedian and the bivariate extreme value copulas, is considered. It is shown that the stochastic increasing property of an Archimax copula is inherited from its associated Archimedian copula. The calculation of Kendall's tau and Spearman's rho for...

In this work we prove a shape theorem for a growing set of simple random walks on ℤ, known as frog model. The dynamics of this process is described as follows: There are active particles, which perform independent discrete time SRWs, and sleeping particles, which do not move. When a sleeping...

We study a system of simple random walks on graphs, known as . This model can be described as follows: There are active and sleeping particles living on some graph . Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1 − ....

The problem of unidentifiability of regression coefficients due to truncation has been studied by Hidoshima (1988) under the assumptions that the error term has a strongly unimodal density and that the supports of the pdf's under complete and truncated data do not depend on unknown parameters....

A complete analysis of Shannon's telegraph channel is given, making use of matrices with elements from a division ring. A notation is developed for representing the set of signals of a communication channel

We analyze the equation coming from the Eulerian–Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin. We show that this description can only work for short times,...