This paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (CLSRCN) subjected to mechanical shock loading.Application of meshless local integral equations based on meshless local Petrov-Galerkin(MLPG) method is developed for dynamic stress analysis in this article. Analysis is carriedout in frequency domain by applying the Laplace...

We study spectrum inclusion regions for complex Jacobi matrices that are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matrices is given.

Neural networks, especially in nonlinear system identi£cation and control applications, are typically considered to be blackboxes which are dif£cult to analyze and understand mathematically. Due to this reason, an indepth mathematical analysis offering insight into the different neural network transformation layers based on a theoretical transformation scheme is desired, but up to now neither a...

Diffusion processes capture information about the geometry of an object such as its curvature, symmetries and particular points. The evolution of the diffusion is governed by the Laplace-Beltrami operator which presides to the diffusion on the manifold. In this paper, we define a new discrete adaptive Laplacian for digital objects, generalizing the operator defined on meshes. We study its eigen...

We prove the Anderson localization near the bottom of the spectrum for two dimensional discrete Schrödinger operators with a class of random vector potentials and no scalar potentials. Main lemmas are the Lifshitz tail and the Wegner estimate on the integrated density of states. Then, the Anderson localization, i.e., the pure point spectrum with exponentially decreasing eigenfunctions, is prove...

In this paper we provide a new approach for constructing non–reflecting boundary conditions. The boundary conditions are based on summation– by–parts operators and derived without Laplace transformation in time. We prove that the new non–reflecting boundary conditions yield a well-posed problem and that the corresponding numerical approximation is unconditionally stable. The analysis is demonst...

2 Neural information processing is noisy 6 2.1 Poisson Processes . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1.1 Interval distribution . . . . . . . . . . . . . . . . . . . . . 10 2.1.2 Integration reduces CV . . . . . . . . . . . . . . . . . . . 12 2.1.3 Refractoriness . . . . . . . . . . . . . . . . . . . . . . . 12 2.2 ISI distributions . . . . . . . . . . . . . . . . . . . . . ....

By using Laplace transformation we developed an approximate solution to describe neutrino oscillation probabilities in arbitrary density matter. We show that this approximation solution is valid when matter potential V satisfy V < ∆m/2E and ∫ V L < 1, where L is the length of the neutrino oscillation . Thus, the formula is useful for propagation of the solar or supernova neutrinos with terrestr...

The mirror of a projective toric manifold XΣ is given by a LandauGinzburg model (Y,W). We introduce a class of Lagrangian submanifolds in (Y,W) and show that, under the SYZ mirror transformation, they can be transformed to torus-invariant hermitian metrics on holomorphic line bundles over XΣ. Through this geometric correspondence, we also identify the mirrors of Hermitian-Einstein metrics, whic...