In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequality for the case −∞ < q p < 0 and 0 < p q < 1 are derived. Furthermore, some special cases are considered.

We apply the hypergeometric method of Thue and Siegel to prove, if a and b are positive integers, that the inequality 0 < |a − b | < 1 4 max{a, b} has at most a single solution in positive integers x and y. This essentially sharpens a classic result of LeVeque.

Social power, regardless of its pervasiveness and acknowledged impact in a multitude of human social processes remains little explored in virtual agents. To address this gap in social intelligence and consequently virtual agent believability, we introduce the cognitive processes that underlie social power intelligence. In conceptualizing these we identify three core social power components requ...

the aim of this study was to investigate the relationship between leadership style and power source of coaches in iranian super league volleyball teams from players’ point of view as well as to prioritize leadership styles and power sources in coaches of all teams. for this purpose, all iranian super league volleyball team players in season 2008-2009 completed the leadership scale for sport (ch...