We consider the Vannimenus model on a Cayley tree of arbitrary order k with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions J2 and J3 in the presence of an external magnetic field h. In this paper we study the phase diagram of the model using an iterative scheme for a renormalized effective nearest-neighbour coup

A class of Arens algebras of vector Banach algebra valued functions is considered. It is shown that Arens algebra of vector-valued functions is complete locally convex metrizable algebra.HindawiPublishingCorporation JournalofFunctionSpacesandApplications Volume2013,ArticleID248925, 4pages http://dx.doi.org/10.1155/2013/248925 ResearchArticle The Ar

Automata act as classical models for recognition devices. From the previous researches, the classical models of automata have been used to scan strings and to determine the types of languages a string belongs to. In the study of automata and group theory, it has been found that the properties of a group can be recognized by the automata using the a

In the present paper we introduce the notion Bochner integral for measurable sections and study some properties such integrals. Given necessary and successfully condition for integrability of a measurable section. Dominated convergence theorem and analogue of Hille's theorem are proved.Ann. Funct. Anal. 4 (2013), no. 1, 1{10 Annals of Functiona

We study the phase diagram of the Blume-Emery-Griffiths-Vannimenus model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical methods. In addition to the expected paramagnetic

General genetic algebras are the product of interaction between biology and mathematics. The study of these algebras reveals the algebraic structure of Mendelian and non-Mendelian genetics, which always simplifies and shortens the way to understand the genetic and evolutionary phenomena in real world. Mathematically, the algebras that arise in gene

In the design of the satellite system, space radiation is among the important factors that need to be taken care of as it may contribute to system failure. This research aims to design and implement an intelligent read-out circuit to detect the level of radiation. It has the capability to measure the level of radiation. The capability of the design

This paper surveys recently proposed works on Intrusion Detection Systems (IDS) in WSNs, and presents a comprehensive classification of various IDS approaches according to their employed detection techniques. The three main categories explored in this paper are anomaly detection, misuse detection, and specification-based detection protocols. We giv

This article undertakes an in-depth study of the foreign exchange exposure of Malaysian listed firms. We examine several issues related to firm-specific and overall exposure, including an evaluation of the efficacy of adopting a hard-peg on such exposure. Our sample consists of 158 listed firms and spans the 16 year period, 1990-2005. A multivariat

Abstract—The preliminary analysis involving comparison between radar derived attenuation using an S-band meteorological radar and measured signal of RazakSAT’s X-band satellite link is presented. The radar data employed was attained from the Malaysian Meteorological Department’s (MMD) terminal Doppler weather radar installed strategically in