Constraint qualifications (CQ) are assumptions on the algebraic description of the feasible set of an optimization problem that ensure that the KKT conditions hold at any local minimum. In this work ...

Abstract: In this paper, we investigate how to topologically and geometrically characterize the intersection relations between a movable convex polygon A and a set /spl Xi/ of possibly overlapping ...

Abstract: In this paper we have developed a family of shape measures. All the measures from the family evaluate the degree to which a shape looks like a predefined convex polygon. A quite new approach ...

"In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary ...