Institute for Mathematical Research

Serdang, Malaysia

Institute for Mathematical Research

Serdang, Malaysia
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Ali N.A.,Institute for Mathematical Research | Yunos F.,Institute for Mathematical Research | Yunos F.,Technical University of Madrid
AIP Conference Proceedings | Year: 2017

In this paper, we give an alternative formula of total norms for τ-Adic Non-adjacent Forms (τ-NAF) expansion for an integer n element of (τ) in Koblitz curve. We apply the geometric series formula to simplify some series involving floor functions in total norms formula. With this approach, we can evaluate the total norm by using the length of τ-NAF expansion. © 2017 Author(s).


Ahmed H.,Institute for Mathematical Research | Ahmed H.,Taiz University | Bekbaev U.,Deparment of Science in Engineering | Rakhimov I.,Institute for Mathematical Research
AIP Conference Proceedings | Year: 2017

A complete classification of two-dimensional algebras over algebraically closed fields is provided. © 2017 Author(s).


Maheri M.,Institute for Mathematical Research
AIP Conference Proceedings | Year: 2015

In this paper we investigate on the synchronization problem between two different chaotic dynamical system based on the Lyapunov stability theorem by using nonlinear control functions. Active control schemes are used for synchronization Liu system as drive and Rossler system as response. Numerical simulation by using Maple software are used to show effectiveness of the proposed schemes. © 2015 AIP Publishing LLC.


Zainuddin H.,Institute for Mathematical Research
Procedia Engineering | Year: 2013

Homogeneous cosmologies described by four-parameter transitive groups of isometries G4 with an additional dimension of four-manifolds were obtained by extending Type-V and Type-IX cosmologies which involve isometry groups G3 with transitive actions on three-manifolds. The group G4 was specified via a translational symmetry over the extra dimension in order to extend a three-manifold metric which admits Bianchi Type-N (N=V, IX) to that of four-manifold. The extended metric of Types V and IX are solved explicitly. © 2013 The Authors.


Ghanbari S.,Institute For Mathematical Research | Othman M.,University Putra Malaysia | Leong W.J.,Institute For Mathematical Research | Abu Bakar M.R.,Institute For Mathematical Research
Lecture Notes in Electrical Engineering | Year: 2014

Divisible load theory has become a popular area of research during the past two decades. Based on divisible load theory the computations and communications can be divided into some arbitrarily independent parts and each part can be processed independently by a processor. Existing divisible load scheduling algorithms do not consider any priority for allocating fraction of load. In some situation the fractions of load must be allocated based on some priorities. In this paper we propose a multi criteria divisible load scheduling algorithm. The proposed model considers several criteria with different priorities for allocating fractions of load to processors. Experimental result indicates the proposed algorithm can handle the priority of processors. © Springer Science+Business Media Singapore 2014.


Alguraibawi M.,Institute for Mathematical Research | Alguraibawi M.,Al Dewanyia Technical Institute | Midi H.,Institute for Mathematical Research | Imon A.H.M.R.,Ball State University
Mathematical Problems in Engineering | Year: 2015

Identification of high leverage point is crucial because it is responsible for inaccurate prediction and invalid inferential statement as it has a larger impact on the computed values of various estimates. It is essential to classify the high leverage points into good and bad leverage points because only the bad leverage points have an undue effect on the parameter estimates. It is now evident that when a group of high leverage points is present in a data set, the existing robust diagnostic plot fails to classify them correctly. This problem is due to the masking and swamping effects. In this paper, we propose a new robust diagnostic plot to correctly classify the good and bad leverage points by reducing both masking and swamping effects. The formulation of the proposed plot is based on the Modified Generalized Studentized Residuals. We investigate the performance of our proposed method by employing a Monte Carlo simulation study and some well-known data sets. The results indicate that the proposed method is able to improve the rate of detection of bad leverage points and also to reduce swamping and masking effects. © 2015 Mohammed Alguraibawi et al.


Kargar M.,Institute for Mathematical Research | Tarmizi R.A.,Institute for Mathematical Research | Tarmizi R.A.,University Putra Malaysia | Bayat S.,Institute for Mathematical Research
Procedia - Social and Behavioral Sciences | Year: 2010

This study investigates the relationships between mathematics anxiety, attitudes toward mathematics and mathematical thinking among university students. A 60-item questionnaire included mathematical thinking rating scale, mathematics anxiety rating scale and mathematics attitudes rating scale completed by 203 university students from the Faculty of Science, Engineering, Food Science, and Human Ecology in one of the public university in Malaysia. The correlation analysis was used to establish relationship between mathematical thinking, mathematics attitude, and mathematics anxiety and independent t-test was used to investigate differences between the two gender groups and two race groups on their mathematics anxiety, attitudes toward mathematics and mathematical thinking. The results indicated that a significant high positive correlation exists between mathematical thinking and mathematics attitude (r=.856, p<0.05). Also there was negative moderate correlation between mathematical thinking and mathematics anxiety (r=.-576, p<0.05). There was also negative correlation between mathematics anxiety and mathematics attitude (r=.509, p<0.05). In conclusion, these findings indicated that level of mathematics anxiety is related to mathematical thinking and mathematics attitude. On the other hand, students' backgrounds in terms of their majors have no effect on the three constructs. © 2010 Published by Elsevier Ltd.


Muminov Z.,University Putra Malaysia | Muminov Z.,Samarkand State University | Ismail F.,University Putra Malaysia | Ismail F.,Institute for Mathematical Research | And 2 more authors.
Journal of Physics: Conference Series | Year: 2013

We consider a model describing a truncated operator H (truncated with respect to the number of particles) acting in the direct sum of zero-, one-, and two-particle subspaces of a fermionic Fock space fa(L 2(T3)) over L2(T3). We admit a general form for the "kinetic" part of the hamiltonian H, which contains a parameter γ to distinguish the two identical particles from the third one. In this note: (i) We find a critical value γ* for the parameter γ that allows or forbids the Efimov effect (infinite number of bound states if the associated generalized Friedrichs model has a threshold resonance) and we prove that only for γ < γ* the Efimov effect is absent, while this effect exists for any γ > γ*. (ii) In the case γ > γ* we also establish the following asymptotics for the number N(z) of eigenvalues z below Emin, the lower limit of the essential spectrum of H: lim z → E- min N(z)/| log |Emin - z|| = u0(γ) (u|0 (γ) > 0), ∀γ > γ*. © Published under licence by IOP Publishing Ltd.


Jafari S.A.,University Putra Malaysia | Mashohor S.,University Putra Malaysia | Varnamkhasti M.J.,Institute for Mathematical Research
Journal of Petroleum Science and Engineering | Year: 2011

Combining numerous appropriate experts can improve the generalization performance of the group when compared to a single network alone. There are different ways of combining the intelligent systems' outputs in the combiner in the committee neural network, such as simple averaging, gating network, stacking, support vector machine, and genetic algorithm. Premature convergence is a classical problem in finding optimal solution in genetic algorithms. In this paper, we propose a new technique for choosing the female chromosome during sexual selection to avoid the premature convergence in a genetic algorithm. A bi-linear allocation lifetime approach is used to label the chromosomes based on their fitness value, which will then be used to characterize the diversity of the population. The label of the selected male chromosome and the population diversity of the previous generation are then applied within a set of fuzzy rules to select a suitable female chromosome for recombination. Finally, we use fuzzy genetic algorithm methods for combining the output of experts to predict a reservoir parameter in petroleum industry. The results show that the proposed method (fuzzy genetic algorithm) gives the smallest error and highest correlation coefficient compared to five members and genetic algorithm and produces significant information on the reliability of the permeability predictions. © 2011 Elsevier B.V.


Mondal M.N.I.,Institute for Mathematical Research | Mondal M.N.I.,University of Rajshahi | Shitan M.,Institute for Mathematical Research | Shitan M.,University Putra Malaysia
Japanese Journal of Infectious Diseases | Year: 2013

Human immunodeficiency virus (HIV)/acquired immunodeficiency syndrome (AIDS) presents a serious healthcare threat to young individuals in Malaysia and worldwide. This study aimed to identify trends in HIV-related risk behaviors among recognized high-risk groups and to estimate HIV transmission up to the year 2015. Data and necessary information were obtained from the Ministry of Health Malaysia, published reports from the World Health Organization and United Nations Program on HIV/AIDS, and other articles. The Estimation and Projection Package was used to estimate HIV transmission. The results of the present study revealed that within the high-risk groups, intravenous drug users (IDUs) had the highest prevalence rate of HIV transmission, followed by patients with sexually transmitted infections (STIs), female sex workers (SWs), and men who have sex with men (MSM). Within these at-risk populations, patients with STIs have the highest prevalence of HIV, followed by IDUs, MSM, and SWs. If the transmission rate continues to increase, the situation will worsen; therefore, there is an urgent need for a comprehensive prevention program to control HIV transmission in Malaysia.

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