root rot and vine decline caused by monosporascus cannonballus is a major challenge for melon production world-wide. in recent years, a disease suggested to be related to this pathogen was observed 1-2 weeks prior to harvest in many melon production areas across iran. in this study, melon plants with symptoms of chlorosis, wilting, decline and/or sudden death were collected from melon growing a...

T exact distribution of the nth customer’s sojourn time in an M/M/s queue with k customers initially present is derived. Algorithms for computing the covariance between sojourn times for an M/M/1 queue with k customers present at time 0 are also developed. Maple computer code is developed for practical application of transient queue analysis for many system measures of performance without regar...

Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n±a(m), where m = 1, 2, 3, ... and a(m) is an integer-valued function. Exponential type functions a(m) = b, where b = 2, 3, .., are discussed. The correspondent pseudodifferential equations of chain oscillations are obtained. Dispersio...

The characteristic vibrational modes of a physical system are determined by the potential energy term of the system’s Hamiltonian. These vibrations are of interest because of their properties govern thermal transport in semiconductors,The second order derivatives of the potential energy with respect to displacements about the equilibrium position of the atoms, colloquially referred to as the se...

To approximate all roots (zeros) of a univariate polynomial, we develop two effective algorithms and combine them in a single recursive process. One algorithm computes a basic well isolated zero-free annulus on the complex plane, whereas another algorithm numerically splits the input polynomial of the nth degree into two factors balanced in the degrees and with the zero sets separated by the ba...

We consider two models of M=G=1 and G=M=1 type queueing systems with restricted accessibility. Let (V (t))t¿0 be the virtual waiting time process, let Sn be the time required for a full service of the nth customer and let n be his arrival time. In both models there is a capacity bound v∗ ∈ (0;∞): In Model I the amount of service given to the nth customer is equal to min[Sn; v∗ − V ( n−)], i.e. ...

This work reviews from a unified viewpoint the concepts underlying “nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems” (nth-CASAM-L) and Nonlinear (nth-CASAM-N) methodologies. The practical application of nth-CASAM-L methodology is illustrated an OECD/NEA reactor physics benchmark, while nth-CASAM-N nonlinear model dynamics that...

We study the kth largest value, M (k) n , among the oospring of particles in the nth generation of a branching process with immigration. In particular, M (1) n gives the oospring of the most proliic particle in that generation. Limit theorems for M (k) n and EM (k) n are proved. The results are obtained by combining the extreme value theory methods and known results for the behavior of the popu...