Let G∞ = (C d m)∞ denote the graph whose set of vertices is {1, . . . ,m}d, where two distinct vertices are adjacent iff they are either equal or adjacent in Cm in each coordinate. Let G1 = (C d m)1 denote the graph on the same set of vertices in which two vertices are adjacent iff they are adjacent in one coordinate in Cm and equal in all others. Both graphs can be viewed as graphs of the d-di...

The object of this research was  to study and explain feminist tendencies and its relationship with economical, social, and cultural motives in the female students of the Islamic Azad University of Garmsar. It was used compilation of theoretic viewpoints of Ritzer, Castells, Giddens, and  Parsons in feminist discussion and a framework and theoretic model was formulated. By using surveyor method...

This article explores the sources of self-rated health status inequalities among South Africans. We propose a decomposition of observed health disparities between racial groups using a procedure based on an extended version of Oaxaca-Blinder decomposition methods which addresses explicitly the specificities associated with the analysis of subjective measures. This method allows for a decomposit...

Men's discourse about the paternal role is changing significantly. Despite the fact that men still perceive themselves as being responsible for the family's economical protection and the children's discipline, they face increasing demands for more involvement in childcare. From this perspective, this work analyzes the traditional view of gender roles and the perception of inequality in a sample...

It is well known that variational inequalities are systematically used in the theory of many practical problems related to ”equilibrium”. The equilibrium is an important state considered in Physics, Engineering, Sciences and Economics and even in Biology, [5], [37], [38], [24], [56]. When a variational inequality is defined on a closed convex set, which is in particular a closed convex cone, in...

Abstract A central problem in economics and statistics is the assessment of income or wealth inequality starting from empirical data. Here we focus on behavior Gini index, one most used measures, presence Zipf’s law, a situation which occurs many complex financial economical systems. First, show that application asymptotic formulas to finite size systems always leads an overestimation inequalit...

A number n is said to be economical if the prime power factori-sation of n can be written with no more digits than n itself. We show that under a plausible hypothesis, related to the twin prime conjecture, there are arbitrarily long sequences of consecutive economial numbers, and exhibit such a sequence of length 9.