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2nd conference of ICMSA was held in 2006 at Penang, Malaysia.
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Articles 49 Documents
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ON NEWTON-LIKE GUMMEL ITERATIVE SOLUTIONS TO DRIFT- DIFFUSION EQUATIONS Ithnin Abdul Jalil et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The one-dimensional carrier transport equations as they apply to thesemiconductor devices are governed by the one-dimensional drift diffusionmodel. It is defined by the Poisson's equation, the electroncontinuity equation and finally the hole continuity equation.
NEWTON POLYHEDRA AND ESTIMATION TO EXPONENTIAL SUMS Atan, Kamel Arifin Mohd
Journal of ICMSA Vol 1, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Journal of ICMSA

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Abstract

The classical Newton polygon is a device for computing the fractional power series expansions of algebraic functions. Newton gave a number of examples of this process in his ”Method of Fluxions” which amount to a general method. However, it was not till much later that Puiseux proved that every branch of a plane algebraic curve defined by a polynomial equation f(x, y) = 0 has an expansionin a neighbourhood of a point (x0, y0) on the curve. In practice, the integers a, b and q can be read off from the Newton polygon and the coefficients cj can be determined successively with ever-increasing labour.
REEVALUATING TEACHING STRATEGIES IN MATHEMATICS AND STATISTICS !N SECONDARY SCHOOLS Mohd Sahar Sauian
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

Numerous studies had shown that rural students are lagged behind inmathematical subjects compared to their urban counterparts,particularly in developing countries. This argument is normallycharacterized and expounded by exposing the negative factors such asstudents' attitude, cultural background, poor environment andfacilities, command of language, lack of graduate teachers as well aspoor mode of teaching methodologies. It has also been known thatthe single factor of "attitudinal problem" has chain-effects in their poorperformance in schools.This paper attempts to highlight some of the ways to arouse students'interest in leaming Mathematics and Statistics. Various teachingmethodologies suitable for rural students are discussed. Furthermore,the application of "contextual-based" teaching approach rather than the"content-based' teaching approach is found to be more beneficial forrural students in the teaching of mathematical subjects.Keywords: attitudinal problems, arxiety cycle, good mathematicslessorl contextual based teaching, content-based teachingexamination-oriented teaching, proactive modeling group tessellation.
NEWTON POLYHEDRA AND ESTIMATION TO EXPONENTIAL SUMS Kamen Ariffin Mohd Atan; J.H Loxton
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

The classical Newton polygon is a device for computing the fractional power series expansions of algebraic functions. Newton gave a number of examples of this process in his ”Method of Fluxions” which amount to a generalmethod.
SIMULATION OF REDUCTION ORDER MODEL LTNEAR PARAMETER VARYING (LPV) SYSTEMS USING MATLAB SOFTWARE Rahma Zuhra
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The use of optimal control techniques on high-order systems producehigh-order controller. Therefore, an approximation from high-ordersystem to low-order system is needed. The approximation is known asreduction model. In this paper we study one of reduction model ofLinear Parameter Varying (LPV) i.e. method balanced truncation. Theprocedure of this method can be stated as follows:First, the quadraticstable (Q-stable) is shown for given a high-order of LPV. Second, thestate space realization ofthe high-order LPV plant is transformed to thebalanced realization. Third, the balanced realizations are truncated toobtain the reduced-order plant. Fourth, the reduced-order plant isshown similar properties with the high-order plant. Finally, thesimulation is carried out for a missile autopilot by using LMI Controltoolbox and Robust Control toolbox in MATLAB software. From thesimulation results we obtain that the reduction system has similarproperties with the high-order system, i.e. Q-stable and balanced.Keywords: LPV system, Q-stable, LPV Balanced Truncation, LMIControl toolbox and Robust Control toolbox.
SLOWLY ROTATING WORMHOLE SOLUTION Anuar Alias et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The ideas introduced by Einstein General Relativity theory toward thedevelopment of wormhole research field are reviewed namely, theconcept of spacetime, Riemarxrian geometry, cosmological constantand the pioneering work of Einstein and Rosen on the subject.Spherically symmetric spacetime metric that provides the wormholespacetime metric by the revival works of Morris and Thorne arediscussed. Concerning recent works on the subject a generalizedwormhole solution with cosmological constant introduced by the worksof Lemos, Lobo and Oliveira are also discussed. Finally, the rotatingwormhole solution as introduced by Khatsynovsky and Teo hasprovided a more generalized solution compared with the Morris-Thornestafic solution. Based on these ideas, we proposed the spacetime metricof a slowly rotating spherically s)rynmetric wormhole where weconstructed set ofEinstein equalions in term ofpressure and the energydensity of the wormhole.Keywords; General Relatfuity; Cosmological constant; Einstein-RosenBridge; Wormhole
-BACKBONE COLORING NUMBERS OF SPLIT GRAPHS WITH TREE BACKBONES A.N.M. Salman
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

In the application area of frequency assignment graphs are used to model the topology and mutual interference between transmitters. The problem in practice is to assign a limited number of frequency channels in aneconomical way to the transmitter in such a way that interference is kept at an acceptable level. This has led to various different types of coloring problem in graphs. One of them is a -backbone coloring. Given an integer 2, a graph G = (V,E) and a spanning subgraph H of G (the backbone of G), a -backbone coloring of (G,H) is a proper vertex coloring V ! {1, 2, . . .} of G in which the colors assigned to adjacent vertices in H differ by at least . The -backbone coloring number BBC(G,H) of (G,H) is the smallest integer ` for which there exists a -backbone coloring f : V - {1, 2, . . . , l}. In this paper we consider the -backbone coloring of split graphs. A split graph is a graph whose vertex set can be partitioned into a clique (i.e. a set of mutually adjacent vertices) and an independent set (i.e. a set of mutually non adjacent vertices), with possibly edges in between. We determine sharp upper bounds for -backbone coloring numbers of split graphs with tree backbones.
ON EXPONENTS OF PRIMITIVE GRAPHS Saib Suwilo
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

A connected gaph G is primitive provided there exists a positive integerk such that for each pair of vertices u and v in G there is a walk of lengtht that connects u and v. The smallest of such positive integers k is calledthe exponent of G and is denoted by exp(G). In this paper, we give a newbound on exponent of primitive graphs G in terms of the length of thesmallest cycle of G. We show that the new bound is sharp andgeneralizes the bounds given by Shao and Liu et. al.Keywords: primitive graphs; exponents.
AN IMPROVED SEARCH ALGORITHM FOR SOLVING MIXED-INTEGER NON LINEAR PROGRAMMING PROBLEM Pengarapen bangun et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The special nonlinear mathematical programming problem which isaddressed in this paper has a structure characterized by a subset ofvariables restricted to assume discrete values, which are linear andseperable from the continuous variables. The strategy of releasingnonbasic variables from their bounds, combined with the "activeconshaint" method and the notion of superbasics, has been developedfor efficiently tackling such a problem by ignoring the integralityrequirements, this strategy is used to force the appropriate non-integerbasic variables to move to their neighbourhood integer points. A studyof criteria for choosing a nonbasic variable to work with in theintegerizing shategy has also been made. Successful implementation ofthese algorithms was achieved on various test problems. The resultshow that the proposed integerizing strategy is promosing in tacklingcertain classes of mixed integer programming problems.
DESIGN OF REDUCED-ORDER u-CONTROLLER FOR FLEXIBLE STRUCTURES Roberd Saragih et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

In this paper, u-controller based on a structured singular value is usedto reduce the vibration of the flexible structures having the transverseand torsion vibrations. Meanwhile, in designing conffol system usingu -controller yields a controller with the order at least equal to the plantorder. Such controller often can not be used in practical application, thusthe order of controller is reduced by using the weighting balancedrealization.Keywords: u-controller; flexible structures, weighting balancedrealization.

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