Noncentral chi-square distributions play an important role in statistics. They occur for instance as exact or limiting distributions of test statistics under alternatives. To examine the power functions of such tests we come across the problem of comparing distribution functions of noncentral chi-square variables. In this section inequalities are presented, which make such a comparison possible...

the need for simulation of human foot mechanism has made researchers and engineers move towards different patterns to describe this movement. in this regard, optimal solutions such as energy consumption, accuracy, etc. are of utmost importance. in this paper, efforts have been made to present a new solution by designing a fully two-dimensional six-bar mechanism with one degree of freedom so tha...