The paper extends the investigations of limit theorems for numbers satisfying a class triangular arrays. We obtain analytical expressions semiexponential generating function numbers, associated with Hermite polynomials. apply results to prove asymptotic normality and specify convergence rate limiting distribution.
 

in this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(cmps) and then, the angels between the cmps and the horizontal axis is calculated. the total angle is determined by averaging the computed angles and finally, the novel method is compa...

This article analyses the push and pull factors that bring visitors to the Iranian national parks. The study used a structured questionnaire to collect data on these factors and the socio-demographic profile of the visitors. Survey conducted in Boujagh National Park, an area of 3177 hectares located in the north of the Iran, produced 400 questionnaires. The factor analysis identified four push ...

let $pi_e(g)$ be the set of element orders of a finite group $g$‎. ‎let $nse(g)={m_nmid ninpi_e(g)}$‎, ‎where $m_n$ be the number of elements of order $n$ in $g$‎. ‎in this paper‎, ‎we prove that if $nse(g)=nse(l_2(81))$‎, ‎then $gcong l_2(81)$‎.

In today’s mechanized world, the need for a patient-friendly attitude in the hospitals and its psychological effects on the recovery time of patients has been proven. Considering the special pre and post-partum conditions of a pregnant woman, together with the fact that the mother and child cannot be treated as a patient case, makes these psychological effects more critical in this resear...

Memory for numbers improves with age and experience. One potential source of improvement is a logarithmic-to-linear shift in children's representations of magnitude. To test this, Kindergartners and second graders estimated the location of numbers on number lines and recalled numbers presented in vignettes (Study 1). Accuracy at number-line estimation predicted memory accuracy on a numerical re...

We show that the limiting distributions of the coefficients of the qCatalan numbers and the generalized q-Catalan numbers are normal. Despite the fact that these coefficients are not unimodal for small n, we conjecture that for sufficiently large n, the coefficients are unimodal and even log-concave except for a few terms of the head and tail. Introduction The main objective of this paper is to...

We define the limiting density of a minor-closed family of simple graphs F to be the smallest number k such that every n-vertex graph in F has at most kn(1+o(1)) edges, and we investigate the set of numbers that can be limiting densities. This set of numbers is countable, well-ordered, and closed; its order type is at least ωω. It is the closure of the set of densities of density-minimal graphs...