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Husain S.K.S.,Institute for Mathematical Research INSPEM | Hassan M.A.,Institute for Mathematical Research INSPEM | Rakhimov I.S.,Institute for Mathematical Research INSPEM
AIP Conference Proceedings | Year: 2010

The paper aims to investigate the classification problem of 5 th dimensional complex filiform Leibniz algebras. There are two sources to get classification of filiform Leibniz algebras. The first of them is the naturally graded non-Lie filiform Leibniz algebras and another one is the naturally graded filiform Lie algebras. Here we consider Leibniz algebras appearing both sources. It is known that this class in its turn can be split into three subclasses, first and second classes are non-Lie filiform Leibniz algebras while the third class include the filiform Lie algebra. However, isomorphisms within each class were not investigated there. In this paper we propose an approach to the isomorphism problem in terms of invariants. Using this approach we give the complete classification of one of the above mentioned of complex filiform Leibniz algebras in 5 th dimension. © 2010 American Institute of Physics.


Mohammed M.J.,University Putra Malaysia | Rakhimov I.S.,University Putra Malaysia | Shitan M.,Institute for Mathematical Research INSPEM | Ibrahim R.W.,University of Malaya | Mohammed N.F.,University Putra Malaysia
Saudi Journal of Biological Sciences | Year: 2015

Smoking problem is considered as one of the hot topics for many years. In spite of overpowering facts about the dangers, smoking is still a bad habit widely spread and socially accepted. Many people start smoking during their gymnasium period. The discovery of the dangers of smoking gave a warning sign of danger for individuals. There are different statistical methods used to analyze the dangers of smoking. In this study, we apply an algebraic statistical method to analyze and classify real data using Markov basis for the independent model on the contingency table. Results show that the Markov basis based classification is able to distinguish different date elements. Moreover, we check our proposed method via information theory by utilizing the Shannon formula to illustrate which one of these alternative tables is the best in term of independent. © 2015 The Authors.


Djauhari M.A.,Institute for Mathematical Research INSPEM | Lee G.S.,University of Technology Malaysia
ICACSIS 2015 - 2015 International Conference on Advanced Computer Science and Information Systems, Proceedings | Year: 2015

Stocks market is a complex system. To understand its behavior, random matrix theory and/or graph theory are/is usually used. In this paper, the latter is used to analyze the dynamics of correlations network at New York Stock Exchange (NYSE) during global crisis in 2008. For that purpose, first, correlations network stability is tested. Second, complex network representation is provided to study the correlations network dynamics and their minimal spanning tree (MST) is constructed to study the evolution of network topological properties. Some changes of these properties in terms of stock's degree and graph diameter will be highlighted to demonstrate the advantages of complex network approach. © 2015 IEEE.


Alsaih M.A.,University of Jordan | Alsaih M.A.,Sana'a University | Latip R.,Institute for Mathematical Research INSPEM | Latip R.,University Putra Malaysia | And 4 more authors.
International Review on Computers and Software | Year: 2013

Nowadays cloud computing is considered as the latest network infrastructure that supports large-scale decentralized computing. Its components rely on different design aspect of multiple mature networks structures (cluster commodity, utility computing, virtualization, Datacenters, and grid structure). The ultimate goal of cloud technology is to efficiently afford services to the users using the concept (Pay-for- Use) which implies cutting down the infrastructure costs when setting up a new business. It also makes the data that users need available and accessible in a way that does not require any kind of knowledge of the underlying infrastructure and meets the Service Level Agreement (SLA) requirements. One of the key problems in cloud computing is load balancing since it should ensure fair and dynamic distribution of loads among all computation nodes and harnesses the minimum power consumption. Load balancing facilitates resources utilization, sustains the minimum response time and guarantees data availability. This paper first, discusses and criticizes the strategies and policies of load balancing in cloud computing environment, then it compares them using different parameters such as throughput, availability, resources utilization, scalability etc. It also illustrates the multiple tools that have been used to implement and simulate these techniques under various experiments and environments. © 2013 Praise Worthy Prize S.r.l. - All rights reserved.


PubMed | University Putra Malaysia, Institute for Mathematical Research INSPEM and University of Malaya
Type: Journal Article | Journal: Saudi journal of biological sciences | Year: 2016

Smoking problem is considered as one of the hot topics for many years. In spite of overpowering facts about the dangers, smoking is still a bad habit widely spread and socially accepted. Many people start smoking during their gymnasium period. The discovery of the dangers of smoking gave a warning sign of danger for individuals. There are different statistical methods used to analyze the dangers of smoking. In this study, we apply an algebraic statistical method to analyze and classify real data using Markov basis for the independent model on the contingency table. Results show that the Markov basis based classification is able to distinguish different date elements. Moreover, we check our proposed method via information theory by utilizing the Shannon formula to illustrate which one of these alternative tables is the best in term of independent.

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