The rock masses in a construction site of underground cavern are generally not continuous, due to the presence of discontinuities, such as bedding, joints, faults, and fractures. The performance of an underground cavern is principally ruled by the mechanical behaviors of the discontinuities in the vicinity of the cavern. During underground excavation, many surrounding rock failures have close r...

We study the scalability of several recent graph kernel-based collaborative recommendation algorithms. We compare the performance of several graph kernel-based recommendation algorithms, focussing on runtime and recommendation accuracy with respect to the reduced rank of the subspace. We inspect the exponential and Laplacian exponential kernels, the resistance distance kernel, the regularized L...

There have been many analyses made of models for equipment inspection, i. e ., where a system may suffer a bre.akdowfl, ~ut such an event is only discovered by an inspection. Most analyses as· ~ume t~at the tIme to failure follows a negative exponential law which implies that only periodic mspectlOn programs need b~ considered. Another model which has been analyzed by Barlow, Hunter, and Prosch...

Consider a model of a financial market with a stock driven by a Lévy process and constant interest rate. A closed formula for prices of perpetual American call options in terms of the overall supremum of the Lévy process, and a corresponding closed formula for perpetual American put options involving the infimum of the after-mentioned process are obtained. As a direct application of the previou...

In wireless communication Free Space Optical (FSO) communication is an emerging technology to provide high bandwidth and high quality communication. In this work we have evaluated the capacity of the Free Space Optical communication system with Multiple Input Multiple Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM) technique under strong atmospheric turbulence conditions. The ca...

‎In this paper‎, ‎the numerical solutions of linear and nonlinear Volterra integral‎ ‎equations with nonvanishing delay are considered by two methods‎. ‎The methods are developed by means of‎ ‎the sinc approximation with the single exponential (SE) and double exponential (DE)‎ ‎transformations‎. ‎The existence and uniqueness of sinc-collocation solutions for these equations are provided‎. ‎Thes...

The method of spectral analysis is employed to research the spatial dynamics of urban population distribution. First of all, the negative exponential model is derived in a new way by using an entropy-maximizing idea. Then an approximate scaling relation between wave number and spectral density is derived by Fourier transform of the negative exponential model. The theoretical results suggest the...

We study the symmetry in short intervals of arithmetic functions with non-negative exponential sums. 1. Introduction and statement of the results. We pursue the study of the symmetry in (almost all) short intervals of arithmetical functions f (see [C1]), where this time we give (non-trivial) results for a new class of such (real) f ; the key-property they have is a non-negative exponential sum ...

Consider a system _ x = f(x; t; t) with a time-varying vectorreld which contains a regular and a slow time scale (large). Assume there exists () such that kx (t; t 0 ; x 0)k K()kx 0 ke ()(t?t0) where x (t; t 0 ; x 0) is the solution of the system _ x = f(x; t;) with initial state x 0 at t 0. We show that for suuciently large, _ x = f(x; t; t) is exponentially stable when the average of () is ne...