In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge- bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where b c denotes the integral part and d is the minimal number of generators of L.

This paper investigate Iranian tourism demand to Malaysia using the recently developed autoregressive distributed lag (ARDL) ‘Bound test’ approach to cointegration for 2000:Q1 to 2013:Q4. The demand for tourism has been explained by macroeconomic variables, including income in Iran, tourism prices in Malaysia, tourism price substitute, travel cost and trade value between Iran and Malaysia. In a...

this paper deals with three-dimensional evaluation of the slopes on the basis of limit analysis. an upper-bound technique of limit analysis is used in this paper to determine either the bearing capacity of a shallow foundation near a slope or the safety factor of the slope. the theorems of limit analysis (upper and lower bound) provide a powerful tool for solving problems in which limit loads n...

Consider a situation with n agents or players where some of the players form a coalition with a certain collective objective. Simple games are used to model systems that can decide whether coalitions are successful (winning) or not (losing). A simple game can be viewed as a monotone boolean function. The dimension of a simple game is the smallest positive integer d such that the simple game can...

Synopsis: This paper provides a framework of lower bounds on the minimum distance of cyclic codes. Root bounds depends solely on the den-ing set and the length of a cyclic code, and the BCH Bound, the Hartmann-Tzeng Bound, Bound A and several Boston Bounds are sown to belong to this family. Border bounds furthermore depends on the dening set of cyclic subcodes as well. The Schaub Bound, the Sin...

in this paper we give sharp upper bounds on the zagreb indices and characterize all trees achieving equality in these bounds. also, we give lower bound on first zagreb coindex of trees.

this paper investigate iranian tourism demand to malaysia using the recently developed autoregressive distributed lag (ardl) ‘bound test’ approach to cointegration for 2000:q1 to 2013:q4. the demand for tourism has been explained by macroeconomic variables, including income in iran, tourism prices in malaysia, tourism price substitute, travel cost and trade value between iran and malaysia. in a...