In this paper, we discuss the usual stochastic‎, ‎likelihood ratio, ‎dispersive and convex transform order between two parallel systems with independent heterogeneous extended generalized exponential components. ‎We also establish the usual stochastic order between series systems from two independent heterogeneous extended generalized exponential samples. ‎Finally, ‎we f...

Abstract Background Identifying the precise location of lower ureter is crucial in not only ureteral surgeries but also other that may cause injury. Although a variety approaches have been applied to detect ureter, majority them had an association with several complications or be difficult perform perfectly time-consuming. Case presentation Seven patients distal ureteric stones size ranged from...

If M is the complement of a hyperplane arrangement, and A = H(M, k) is the cohomology ring of M over a field of characteristic 0, then the ranks, φk, of the lower central series quotients of π1(M) can be computed from the Betti numbers, bii = dimTor A i (k, k)i, of the linear strand in a minimal free resolution of k over A. We use the Cartan-Eilenberg change of rings spectral sequence to relate...

We show that there exist series-parallel graphs requiring Ω(n2 √ ) area in any straight-line or poly-line grid drawing. Such a result is achieved in two steps. First, we show that, in any straight-line or poly-line drawing of K2,n, one side of the bounding box has length Ω(n), thus answering two questions posed by Biedl et al. Second, we show a family of series-parallel graphs requiring Ω(2 √ )...