abstract: in this thesis, we focus to class of convex optimization problem whose objective function is given as a linear function and a convex function of a linear transformation of the decision variables and whose feasible region is a polytope. we show that there exists an optimal solution to this class of problems on a face of the constraint polytope of feasible region. based on this, we dev...

in chapter one we will describe definitions and preliminary results to provide the global context of our own results to be presented in detail in the subsequent chapters in chapter two we consider degree-one maps of the circle and we study their rotation set. our main result in this chapter says that if the map is topologically mixing then its rotation interval is nontrivial (that is, not reduc...

in iran we already use laminate tubes only in cosmetics industry. laminate tube manufacturers via using the most modern technology of the world, faced with the laminate tube market being saturated in cosmetics industry for packaging the cosmetic creams and toothpaste. but considering the great food market and therefore laminate tube features such as beautiful packaging, ease of use for the fina...