For any lacunary sequence θ = (kr), the aim of the present work is to introduce strong θ-statistical limit and strong θ-statistical cluster points of sequences on probabilistic normed spaces (briefly PN-spaces). Some relations among the sets of ordinary limit points, strong θ-statistical limit and strong θ-statistical cluster points of sequences on PN-spaces are obtained.

The rough-strips energy dissipator (R-SED) is applied to the bottom of spillway bend and can play role dissipation flow stabilization. In this study, based on 18 sets orthogonal tests principle dimensional analysis, a multifactor influence model R-SED’s rate was proposed. A dimensionless factor k introduced, which reflect comprehensive characteristics geometric dimensions R-SEDs. considered nin...

The dependence on the topological θ angle term in quantum field theory is usually discussed in the context of instanton calculus. There the observables are 2π periodic, analytic functions of θ. However, in strongly coupled theories, the semi-classical instanton approximation can break down due to infrared divergences. Instances are indeed known where analyticity in θ can be lost, while the 2π p...

Abstract It is proved that for an extremally disconnected S -paracompact- T 2 spaces the properties semi-Menger, Menger, strongly star star-Menger, almost star-Menger are equivalent. We show a weakly semi-continuous (strongly θ -semi-continuous) image of semi-Menger (almost semi-Menger) (semi-Menger), respectively. The characterizations and also provided.

In the ideal topological spaces (X, ?, I) and (Y, J, ?), we define (I, J)-irresolute function, weakly-(I, J)-irresolute, strongly-(I, functions, semi-I-open sets quasi-H-closed modulo I. We discuss properties of function mapping connected, closed, compact I semi-I-isolated points. J)-Homeomorphisim on presemi-I-open closure subsets are explored in this paper.

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...