How close are Galerkin eigenvectors to the best approximation available out of the trial subspace ? Under a variety of conditions the Galerkin method gives an approximate eigenvector that approaches asymptotically the projection of the exact eigenvector onto the trial subspace – and this occurs more rapidly than the underlying rate of convergence of the approximate eigenvectors. Both orthogonal...

This paper analyses a multiple class single server M/M/1/K queue with finite capacity under preemptive service priority discipline. The Poisson process has been used to model the multiple classes of arrival streams. The service times have exponential distribution. Analytical expressions for the flow balanced equations have been derived using Markov chain. This paper presents an analytical solut...

Let K be a symmetric convex body in R. It is well-known that for every θ ∈ (0, 1) there exists a subspace F of R with dimF = [(1− θ)n] such that (∗) PF (K) ⊇ c √ θ MK Dn ∩ F, where PF denotes the orthogonal projection onto F . Consider a fixed coordinate system in R. We study the question whether an analogue of (∗) can be obtained when one is restricted to choose F among the coordinate subspace...

Numbers of the form (6m+1)(12m+1)(18m+1) where all three factors are simultaneously prime are the best known examples of Carmichael numbers. In this paper we tabulate the counts of such numbers up to 10 for each n ≤ 42. We also derive a function for estimating these counts that is remarkably accurate.

We present ISOCAM images (1.5 ′′ px −1) in the LW2 (6.75 µm) and LW3 (15 µm) broad band filters of the circumnuclear starburst of NGC 4321 (M 100). A detailed comparison with the emission at other wavelengths (U , B, Hα, and CO) is also presented. The nature and intensity of the mid-infrared emission is shown to be remarkably different from one star forming region to the next. For instance, sta...

The purpose of this study was to evaluate the interrater and test-retest reliability of 4-m and 6-m walking speed tests in elderly people with cognitive impairment. 50 subjects aged 65 and over with cognitive impairment were selected from an adult day-care centre and a nursing home. To examine interrater reliability, 21 people were evaluated independently by two researchers who administered the...

In this paper, we consider a multi-server queuing system in which additional servers are allowed for a longer queue to reduce the customer’s balking and reneging behavior. The customers are assumed to arrive in Poisson fashion and their service- times follow exponential distribution. The number of servers in long run depends on the queue-length. We obtain equilibrium queue size distribution. Th...