The position of the trunk can be negatively influenced by many diseases. Several methods can be used for identifying defects in balance and coordination as a result of pathology of the musculoskeletal or nervous system. The aim of this article is to examine the relationship between the three methods used for analysis of trunk sway and compare two fundamentally different MoCap systems. We used a...

In this paper, we focus on lower bounds and algorithms for some basic geometric problems in the one-pass (insertion only) streaming model. The problems considered are grouped into three categories — (i) Klee’s measure (ii) Convex body approximation, geometric query, and (iii) Discrepancy Klee’s measure is the problem of finding the area of the union of hyperrectangles. Under convex body approxi...

Lifts/extended formulations/cone representations of convex sets currently form an active area of research in optimization, computer science, real algebraic geometry and convex geometry. We invite high quality papers on all optimization related aspects of this topic for a special issue of Mathematical Programming, Series B. All submitted papers will be refereed according to the standards of Math...

In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.

In this paper, we have focused to study convex $L$-subgroups of an $L$-ordered group. First, we introduce the concept of a convex $L$-subgroup and a convex $L$-lattice subgroup of an $L$-ordered group and give some examples. Then we find some properties and use them to construct convex $L$-subgroup generated by a subset $S$ of an $L$-ordered group $G$ . Also, we generalize a well known result a...