in this note we are going to survey several invariants of finite groups related either to their orders or to generating sets or to lattices of subgroups. some relations among these invariants will be exhibited. special attention will be paid to monotonicity of them.

Reasoning about uncertainty is one of the main cornerstones Knowledge Representation. Formal representations are numerous and highly varied due to different types intended be modeled such as vagueness, imprecision incompleteness. There a rich body theoretical results that has been generated for many these approaches. It often case though, pragmatic tools reasoning with lag behind this results. ...

this paper investigates the asymmetry in volatility of returns for the iranian stock market using the daily closing values of the tehran exchange price index (tepix) covering the period from march 25, 2001 to july 25, 2012, with a total of 2743 observations. to this end, two sets of tests have been employed: the first set is based on the residuals derived from a symmetric garch (1,1) model. the...