for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets  $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [...

we describe a variational problem on a surface under a constraintof geometrical character. necessary and sufficient conditions for the existence ofbifurcation points are provided. in local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. the problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.

Skyline queries represent a dataset by the points on its pareto frontier, but can become very large. To alleviate this problem, representative skylines select exactly k skyline points. However, existing approaches are not scaleinvariant, not stable, or must materialise the entire skyline. We introduce the maximum coverage representative skyline, which returns the k points collectively dominatin...

This study examined how using Likert-type scales with either 5-point, 7-point or 10-point format affects the resultant data in terms of mean scores, and measures of dispersion and shape. Three groups of respondents were administered a series of eight questions (group n’s = 300, 250, 185). Respondents were randomly selected members of the general public. A different scale format was administered...

An advanced current measure probe is described for biological applications. Singular points on the body skin emit a semi-constant current that could be potentially useful for a medical diagnosis of the body organs to which any singular point is connected. In order to achieve an accurate and reliable analysis of the emitted current, all the error sources have been studied in order to design a re...

This paper proposes an automated method for extracting 39 feature point$ from 3D facial iniage, and shows that 3D facial caricaturing can be realized by such these smaller number of feature point. and that these 39 feature points could be extmcted automatically. As a result, it was clarified by comparing 3D caricature of 3D PICASSO system with that of a famous caricaturist Mr. Yoshida that 3D f...

The research described in this paper was motivated by an enigmatic entry in Ramanujan’s lost notebook [11, p. 45] in which he claimed, in an unorthodox fashion, that a certain q-continued fraction possesses three limit points. More precisely, he claimed that as n tends to ∞ in the three residue classes modulo 3, the nth partial quotients tend, respectively, to three distinct limits, which he ex...