Volume 8, Issue 2 (2012) | Journal of Mathematics and Statistics

Ant Colony Optimization for Container Loading Problem

C. N. Yap — 2012-03-20

Journal of Mathematics and Statistics, Published online: 20 March 2012; doi:10.3844/jmssp.2012.169.175

Problem statement: The Container Loading Problem (CLP) considers packing a subset of given rectangular boxes into a rectangular container of fixed dimensions in the most optimum way. This was very imp...

On the Successive Overrelaxation Method

I. K. Youssef — 2012-02-22

Journal of Mathematics and Statistics, Published online: 22 February 2012; doi:10.3844/jmssp.2012.176.184

Problem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the cu...

An Integral Two Space-Variables Condition for Parabolic Equations

A. L. Marhoune — 2012-03-12

Journal of Mathematics and Statistics, Published online: 12 March 2012; doi:10.3844/jmssp.2012.185.190

In this study, an integral two space-variables condition for a class of parabolic equations. The existence and uniqueness of the solution in the functional weighted Sobolev space were proved. The proo...

Mathematics Teachers' Beliefs and Teaching Practices

Effandi Zakaria — 2012-03-05

Journal of Mathematics and Statistics, Published online: 5 March 2012; doi:10.3844/jmssp.2012.191.194

Problem statement: The connection between teachers’ beliefs and their practices were inconsistent among researchers. Previous experiences had become one of the factors involved in the fundamental pr...

Existence of a Total Order in Every Set

Abdelmadjid Boudaoud — 2012-03-16

Journal of Mathematics and Statistics, Published online: 16 March 2012; doi:10.3844/jmssp.2012.195.197

Problem statement: The axiom of choice, guarantees that all set could be well-ordered, in particular linearly ordered. But the proof in this case was not effective, that was to say, non constructive. ...

On the Theory of Intuitionistic Fuzzy N-Inner Product Spaces with Applications

Renu Chugh — 2012-03-19

Journal of Mathematics and Statistics, Published online: 19 March 2012; doi:10.3844/jmssp.2012.198.210

Problem statement: The purpose of this study was to introduce the notion of Intuitionistic fuzzy n-inner product space and to prove a fixed point theorem in complete intuitionistic fuzzy ninner produc...

Fuzzy Orders in the Real Line

Lemnaouar Zedam — 2012-04-23

Journal of Mathematics and Statistics, Published online: 23 April 2012; doi:10.3844/jmssp.2012.211.215

Problem statement: In this study, we characterize a subcategory of fuzzy orders which were compatible with the usual addition and the multiplication by scalar on the real line R. Results and Conclusio...

Mixed Formulation for a Signorini Problem

Tedjani Hadj Ammar — 2012-04-23

Journal of Mathematics and Statistics, Published online: 23 April 2012; doi:10.3844/jmssp.2012.216.220

Problem statement: This study deals with the study of a Signorini Problem (SP) of unilateral contact between two a linear or non linear elastic bodies. Approach: We present two variational formulation...

A Measure of Monotonicity of two Random Variables

Farida Kachapova — 2012-05-26

Journal of Mathematics and Statistics, Published online: 26 May 2012; doi:10.3844/jmssp.2012.221.228

Problem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing co...

Modeling the Dynamics of Tuberculosis Transmission in Children and Adults

F. Nyabadza — 2012-06-05

Journal of Mathematics and Statistics, Published online: 5 June 2012; doi:10.3844/jmssp.2012.229.240

Problem statement: The fight Against Tuberculosis (TB) has mainly focused on the adult population because children were perceived to pose a very low risk in TB transmission. This assumption ignores th...

Foldings and Deformation Retract of Hyperhelix

E. AL-Hesiny — 2012-06-05

Journal of Mathematics and Statistics, Published online: 5 June 2012; doi:10.3844/jmssp.2012.241.247

Our aim in the present study is to introduce and study new types of retractions of hyperhelix in Minkowski space. Types of the deformation retracts of hyperhelix in Minkowski space were discussed. The...

Application of Optimal Control to the Epidemiology of Fowl Pox Transmission Dynamics in Poultry

Udofia Ekere Sunday — 2012-06-13

Journal of Mathematics and Statistics, Published online: 13 June 2012; doi:10.3844/jmssp.2012.248.252

Problem statement: In this study, we present the mathematical model of the transmission dynamics of fowl pox infection in poultry. Approach: It describes the interaction between the susceptible and th...

Teachers’ Perceptions toward the use of GeoGebra in the Teaching and Learning of Mathematics

Lo Sooth Lee — 2012-06-16

Journal of Mathematics and Statistics, Published online: 16 June 2012; doi:10.3844/jmssp.2012.253.257

Problem statement: In a study by TIMSS, approximately 20% of Malaysian students failed to achieve the minimum benchmarks in mathematics. In addition, students do not understand mathematical concepts a...

Mathematical Analysis of the Non Linear Epidemic Model

Laid Chahrazed-Rahmani Fouad Lazhar — 2012-06-19

Journal of Mathematics and Statistics, Published online: 19 June 2012; doi:10.3844/jmssp.2012.258.263

Classical epidemic models assume that the size of the total population is constant. More recent models consider a population size variable to take into account a longer period with death and disease c...

OR/MS Applications in Mt. Merapi Disaster Management

Amril Aman — 2012-06-19

Journal of Mathematics and Statistics, Published online: 19 June 2012; doi:10.3844/jmssp.2012.264.273

Problem statement: Much of researches on the management of disaster deal with their social aspects such as sociological and psychological effects on communities. Recently there had been a growing cred...

One-Sided Multivariate Tests for High Dimensional Data

Samruam Chongcharoen — 2012-06-20

Journal of Mathematics and Statistics, Published online: 20 June 2012; doi:10.3844/jmssp.2012.274.282

Problem statement: For a multivariate normal population with size smaller than dimension, n

Toward a Hierarchical Bayesian Framework for Modelling the Effect of Regional Diversity on Household Expenditure

Pudji Ismartini — 2012-06-25

Journal of Mathematics and Statistics, Published online: 25 June 2012; doi:10.3844/jmssp.2012.283.291

Problem statement: Household expenditure analysis was highly demanding for government in order to formulate its policy. Since household data was viewed as hierarchical structure with household nested ...

Quadratic Approximation for Singular Integrals

Mostefa Nadir — 2012-07-04

Journal of Mathematics and Statistics, Published online: 4 July 2012; doi:10.3844/jmssp.2012.292.295

In this study we present a new approach based on a quadratic approximation for singular integrals of Cauchy type, by using a small technical we arrive to eliminate completely the singularity of this i...

Bayesian and Maximum Likelihood Solutions: An Asymptotic Comparison Related to Cost Function

Mechakra Hadda — 2012-07-04

Journal of Mathematics and Statistics, Published online: 4 July 2012; doi:10.3844/jmssp.2012.296.310

Problem statement: Wald showed that the minimax solution is the Bayesian solution with respect to the law a priori the worst. We try to establish a similar result by comparing the Bayesian solution an...

On Nonlinear Age- and Stage-Structured Population Models

Arild Wikan — 2012-07-06

Journal of Mathematics and Statistics, Published online: 6 July 2012; doi:10.3844/jmssp.2012.311.322

The scope of this review article is to present and discuss various aspects of discrete nonlinear age- and stage-structured population models. We show that such models cover species which exhibit a wid...