The problem of recovering the asymptotics of a short range perturbation of the Euclidean Laplacian on R n from xed energy scattering data is studied. It is shown that for n 3 that a magnetic potential is determined, modulo Gauge invariance, by its scattering matrix at a xed non-zero energy. This result also holds for a wide class of scattering manifolds.

let $a = (a_{i,j})_{1 leq i,j leq n}$ be an $n times n$ matrixwhere $n geq 2$. let $dt(a)$, its second immanant be the immanant corresponding to the partition $lambda_2 = 2,1^{n-2}$. let $g$ be a connected graph with blocks $b_1, b_2, ldots b_p$ and with$q$-exponential distance matrix $ed_g$. we given an explicitformula for $dt(ed_g)$ which shows that $dt(ed_g)$ is independent of the manner in ...

In this paper, we present a method for characterizing the evolution of time-varying complex networks by adopting a thermodynamic representation of network structure computed from a polynomial (or algebraic) characterization of graph structure. Commencing from a representation of graph structure based on a characteristic polynomial computed from the normalized Laplacian matrix, we show how the p...

A two-dimensional transient axi-symmetric model was developed to study the effects of various thermal and geometric parameters on cyclic heating and cooling modes of a phase-change thermal energy storage system. The high-temperature thermal energy storage device utilizes LiH for heat sink applications to store the waste heat generated during power-burst periods. The stored heat is then discharg...

The objective of this paper is to analyse the application of the Half-Sweep Gauss-Seidel (HSGS) method by using the Half-sweep approximation equation based on central difference (CD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and HalfSweep Gauss-Seidel (HS...

: In this retrospective study 48 humeral shaft fractures in 48 patients were operated on using the Seidel interlocking nail. The length of follow-up ranged from 6 to 60 months (median, 26 months). The treatment of fractures was satisfactory with the Seidel nail, but we emphasize the importance of countersinking the tip of the nail into the humeral head to avoid impingement. In 5 of 12 patients ...