Malaysian Journal of Mathematical Sciences

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ISSN 1823-8343

Publications in this journal

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    ABSTRACT: Nowadays, elliptic curve based cryptosystem is an efficient public key cryptosystem, The very expensive operation in this cryptographic protocol is the elliptic curve scalar multiplication (elliptic curve point multiplication). Efforts have been mainly focused on developing efficient algorithms for representing the scalar which is involved of elliptic curve scalar multiplication. One of these is using the window- w non adjacent form method. In the present work, the accelerating elliptic curve scalar multiplication using the window-w non adjacent form method is proposed, where the number of operations in the elliptic curve scalar multiplication has been reduced. The expected gain is about 20%, 14% and 7.6% comparing with using the anther methods to compute the elliptic curve scalar multiplication. 20%.
    No preview · Article · Nov 2015 · Malaysian Journal of Mathematical Sciences

  • No preview · Article · Sep 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: A group ring code is a code that can be constructed using group rings. Linear codes have been associated to group rings since 1967. Many existing codes such as cyclic codes and abelian codes are specific examples of group ring codes. This study aims to answer whether there exists a group ring code that can never be a group ring code over a cyclic group. It is conceivable that it has a positive answer. However, our results on group ring codes over the dihedral group D_6 and D_8 do not support our belief. We found that every binary group ring code over D_6 (D_8 respectively) is equivalent to some binary group ring code over the cyclic group C_6 (C_8 respectively).
    No preview · Article · Jun 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: In this paper, we obtain an analytical expression of the structural tensor, brought additional identities curvature of special generalized manifolds Kenmotsu type II and based on them are highlighted in some of the classes of this class of manifolds and obtain a local characterization of the selected classes.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: Body weight has long been used as a parameter for calculation in many medical procedures. But when body weight is not available and its visual weight is inaccurate a body weight equation for both genders from anthropometric measurements is developed. This is the main aim of the study besides identifying the significance of interaction variables in hierarchically multiple regression analysis. The interaction variables involved here are up to the fifth-order (product of 6 independent variables). Here, the equation is developed using hierarchically multiple regression analysis. A modified method on the Zainodin-Noraini multicollinearity remedial method is proposed in this work to remedy the multicollinearity problem. Then, coefficient test is carried out on these models to eliminate insignificant variables from models that are free from multicollinearity problem. Ultimately, the equation developed in this work is free from multicollinearity problem and insignificant variables. The proposed modified method is found to be easier, time-saving more accurate and less prone to errors. An important finding in this work is that the interaction variables are significant and is best included in statistical analysis in order to yield a better prediction.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: In this paper, we study second-order differential operators on the half-line having jump condition in an interior point. We obtain properties of the spectral characteristics, present a formulation of the inverse problem and prove the uniqueness theorem.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: Conventional statistical data analysis techniques largely depend on assumptions like randomness, normality, independence and similarity of the data. But in reality we often observe that these assumptions do not hold. Among them the randomness is considered as the most important one because if the data are not random the entire inferential procedure breaks down. Faulty sampling technique is mostly responsible for nonrandom samples but in environmental studies often we observe data no matter how carefully we design the sampling technique the data become biased either in length or size. Normality is another very important issue in statistical inference because all conventional sampling distributions and test statistics heavily rely on normality of the data. If we knew the appropriate distribution of the data we can analyze those in different ways, but we often observe data which may not match with the well-known distributions and nonparametric statistics is the only alternative there. In this paper we develop a procedure of analyzing data sets which are length or size biased. For this type of data we have developed a biased correction technique first and then apply bootstrap method on corrected data for the inferential purpose. We present a very interesting example in this paper which clearly shows the merit of employing our proposed procedure in analyzing this type of data.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: In this paper, we establish integral inequalities of Hermite-Hadamard type involving Riemann-Liouville fractional integrals for ϕ -convex functions and some new inequalities of right-hand side of Hermite-Hadamard type are given for functions whose first derivatives absolute values ϕ -convex functions via Riemann-Liouville fractional integrals.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: This study is placed in the framework of Internal Set Theory (Nelson, 1977). Real numbers (ξi) i=1,2,...,k are called simultaneously approximable in the infinitesimal sense, if for every positive infinitesimal ε, there exist rational numbers (pi/q) i=1,2,...,k such that where (£i) i=1,2,...,k are limited numbers. Let (ξ0,ξ1,...,ξε) be a system of reals, with ε unlimited. In this paper, we will give a necessary condition for which (ξi) i=1,2,...,k are simultaneously approximable in the infinitesimal sense. The converse of this condition is also discussed.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: In this article, a numerical approach for solving a class of nonlinear optimal control problems is presented. This approach is a combination of a spectral collocation method and the parametric iteration method. As will be shown, the proposed indirect strategy provides good approximations of all variables i.e. control, state and costate as opposed to the many direct methods. Several examples are considered to assess the accuracy and features of the presented method.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences
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    ABSTRACT: Urysohn integral equations appear in many applications, for example it occurs in solving problems arising in economics, engineering and physics. Equations of this type have been used to model many thermostatic devices. In this paper the Galerkin and the Petrov-Galerkin methods have been used to solve the nonlinear integral equation of the Urysohn type. Alpert (1993) constructed a class of wavele bases and applied it to approximate solutions of the Fredholm second kind integral equations by the Galerkin method. We use Alpert multiwavelet bases with orthonormal Legendre polynomials to approximate the solution of nonlinear integral equation of the Urysohn type. The numerical examples show the good accuracy of the method.
    No preview · Article · Jan 2015 · Malaysian Journal of Mathematical Sciences