We have considered one parametric generalization of the nonsymmetric relative J-divergence measure. The generalized measure is shown belonging to the Csiszár’s f-divergence class. Further, we have derived bounds for the generalized measure in terms of well known divergence measures.

This paper gives necessary and sufficient conditions for the (n-dimensional) generalized free rigid body to be in a state of relative equilibrium. The conditions generalize those for the case of the three-dimensional free rigid body, namely that the body is in relative equilibrium if and only if its angular velocity and angular momentum align, that is, if the body rotates about one of its princ...

We have space here to give only the briefest outline of the processes we are trying to model; the interested reader should consult one of the standard textS2. The heart consists of four chambers: two atria and two ventricles . Electrically, however, the two atria can be considered as one, and we shall refer only to the atrium ; likewise for the two ventricles. In essence the function of the car...

We give a new generalization of the spt-function of G.E. Andrews, namely Sptj(n), and give its combinatorial interpretation in terms of successive lower-Durfee squares. We then generalize the higher order spt-function sptk(n), due to F.G. Garvan, to jsptk(n), thus providing a two-fold generalization of spt(n), and give its combinatorial interpretation.

A modification of the Balanced Stoc1insiti.c Truncation method fqr relative error model reduction is introduced. The method is based on replac~ng the truncat~on step w ~ t h a generalized s~iigular pertmbat~on approxlmatlon. The new method is shown to satisfy an infinity norm bound on the relative error between the full order and the reduced order models. The discrete time balaiiced stochastic ...

In this communication, we consider and study a generalized two parameters entropy of order statistics and derive bounds for it. The generalized residual entropy using order statistics has also been discussed.

In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...