air defense is a crucial area for all naval combat systems. in this study, we consider a warship equipped with an air-defense weapon that targets incoming threats using surface-to-air missiles. we define the weapon scheduling problem as the optimal scheduling of a set of surface-to-air missiles of a warship to a set of attacking air threats. the optimal scheduling of the weapon results in an in...

‎In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings‎. ‎In particular‎, ‎we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.

In $1994,$ degree distance  of a graph was introduced by Dobrynin, Kochetova and Gutman. And Gutman proposed the Gutman index of a graph in $1994.$ In this paper, we introduce the concepts of  multiplicative version of degree distance and the multiplicative version of Gutman index of a graph. We find the sharp upper bound for the  multiplicative version of degree distance and multiplicative ver...

We give further results on the question of code optimality for linear codes over finite Frobenius rings for the homogeneous weight. This article improves on the existing Plotkin bound derived in an earlier paper [6], and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.

This study was carried out to examine aflatoxin B1 (AFB1) removal ability of four strains of lactic acidbacteria (LAB). Three indigenous (Lactobacillus rhamnosus TMU094, Lactobacillus fermentum TMU121and Pedioccus pentosaceus TMU457) and a non-indigenous (Labacillus rhamnosus PTCC1637) isolateswere studied. The strains were incubated with (AFB1) at different time. The toxin residual in the supe...