We propose a fully-dynamic distributed algorithm for the all-pairs shortest paths problem on general networks with positive real edge weights. If ∆σ is the number of pairs of nodes changing the distance after a single edge modification σ (insert, delete, weight decrease, or weight increase) then the message complexity of the proposed algorithm is O(n∆σ) in the worst case, where n is the number ...

mangrove sediments were collected during wet and dry seasons from nine stations in khamir,laft and natural reservoir mangrove-dense areas of hormozgan province in the south of iran. σ pcbs ranged from 5.33 to 15.5 ng/g dry weight and the dominant congener was no.153. average σ ddts for khamir and laft mangroves were 16.58 ± 1.51 and 18.8 ± 9.98 ng/g dry weight. ddt was more abundant than dde an...

A standard finite dimensional nonlinear control system is considered, along with a state constraint set S and a target set Σ. It is proven that open loop S-constrained controllability to Σ implies closed loop Sconstrained controllability to the closed δ-neighborhood of Σ, for any specified δ > 0. When the target set Σ satisfies a small time S-constrained controllability condition, conclusions o...

In this paper, given a knot K , for any integer m we construct a new surface ΣK(m) from a smoothly embedded surface Σ in a smooth 4–manifold X by performing a surgery on Σ . This surgery is based on a modification of the ‘rim surgery’ which was introduced by Fintushel and Stern, by doing additional twist spinning. We investigate the diffeomorphism type and the homeomorphism type of (X,Σ) after ...

The fundamental laws of physics are described from the modern point of view by gauge theories with continuous gauge groups. With some modification the gauge principle can (and should) be applied to discrete dynamical systems with nontrivial symmetries also. We consider specifics of introduction of gauge invariance into W -equivariant discrete dynamical systems with finite sets of states Σ, wher...

The LBL factorization of Bunch for solving linear systems involving a symmetric indefinite tridiagonal matrix T is a stable, efficient method. It computes a unit lower triangular matrix L and a block 1×1 and 2×2 matrix B such that T = LBL . Choosing the pivot size requires knowing a priori the largest element σ of T in magnitude. In some applications, it is required to factor T as it is formed ...

in this study, the role of interaction of pi electrons on the strength of simultaneous σ-hole interactions (pnicogen, chalcogen and halogen bonds) is investigated using the quantum chemical calculations. x-ben||taz∙∙∙y1,y2,y3 complexes (x = cn, f, cl, br, ch3 , oh and nh2, taz= s-triazine and y1,y2 and y3 denotes ph2f, hsf, and clf molecules) is introduced as a model. the results show that inte...

For the interval linear system Ax = b, we consider the linear tolerance problem, requiring inner evaluation of the tolerable solution set Σ∀∃(A,b) = {x∈ R|(∀A∈A)(Ax∈b)} formed by all point vectors x such that the product Ax remains within b for all possible A∈A. We develop solvability theory for the linear tolerance problem that not only settles whether Σ∀∃ is empty or not, but also enables mod...

Flight control systems designed using linear control theory do not perform adequately over the entire operating range of aircraft. Furthermore flight control systems developed for unmanned areil vehicles are expected to meet performance specifications in the presence of nonlinearities and/or failures. Adaptive controllers are ideal candidates for flight control sytem design due to their inheren...