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...

there are two major theories of measurement in psychometrics: classical test theory (ctt) and item-response theory (irt). despite its widespread and long use, ctt has a number of shortcomings, which make it problematic to be used for practical and theoretical purposes. irt tries to solve these shortcomings, and provide better and more dependable answers. one of the applications of irt is the as...

educational researchers have provided evidence that teachers’ emotional intelligence has strong effects on various aspects of teaching and learning. yet, in the field of teaching english to speakers of other languages (tesol), inquiry into teachers’ emotional intelligence is nearly limited. given its documented powerful impact on teaching practices and student learning, it is critical to pursue...