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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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RIGID MOTIONS, REFLECTIONS AND GROUPS Rita Desfitri
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

Rigid motion is a transformation consisting of some rotations andtranslations operation which leave a given shape or arrangementunchanged. In other words, a rigid motion of a shape is a way of movingthe shape without bending tearing or distorting it, so that it looks thesame. Reflectiorl on the other hand, is the operation ofexchanging allpoints of a mathematical object with their mirror images (i.e., reflectionsin a minor).This paper is aimed to discuss the set of rigid motion and reflection ofsome shapes, together with the operation of compositions which form agroup, called the group of s;rmmetries, of the shape. The operation ofcompositions is commonly written in usual order, (for example, if rmeans rotation, and ft reflects about horizontal axis-ft, then the operationur o h" means we do rigid motion Ir first, followed by r). This paper alsoshows that the rigid motion can be wrifien as permutation, but not allpermutations are rigid motion.Keywords: rigid motion.
MODELLING THE AIDS EPIDEMIC IN MALAYSIA Ong Hong Choon
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

There are generally three methods of modelling the acquired immunodeficiency syndrome (AIDS) epidemic. At one extreme is the attempt tofit a function of calendar time such as a polynomial or othermathematically convenient curves to the AIDS incidence curve while theother extreme attempts to model the full dynamics of the transmission ofthe epidemic in the population providing much insight, into thequalitative evolution of the epidemic and identifying the key variablesthat determine the future number of cases.The method of backcalculation which is intermediate between the firsttwo methods, estimates the past HIV infection rate from the AIDSincidence data and an estimate ofthe incubation period distribution. Thismethod is used on the Malaysian data to model the AIDS epidemicbecause it makes use of the Malaysian AIDS incidence which is fairlyreliable and is more reflective of the trend of the epidemic as comparedto the HIV infection rate recorded. An application is made in this studyon the AIDS incidence data in Malaysia released by the Ministry ofHealth, Malaysia using a backcalculation program and an approximateincubation period distribution to generate the current HIV infection ratefor Malaysia.Keywords: Backcalculation, AIDS modeling, HIV infection
A SPATIALLY-STRUCTURED THREE-SPECIES MODEL SYSTEM FOR BENTHIC COMMUNITY M. Saleem et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

Recently Donalson et al [3] gave a one-prey (mussel) and one-predator(sea star) model-system representing the spatially-structured dynamics ofbenthic community. We generalize this model in this paper and extend itsscope to the dynamics of three species of benthic community namely:mussel, sea star and spiny lobster.Keywords: Spatially-structured; Benthic species; Predator preyinteractions
NEWTON POLYHEDRA AND ESTIMATION TO EXPONENTIAL SUMS Kamel Arifin Mohd Atan
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 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.
THE EXPONENT SET OF COMPLETE ASYMMETRIC 2-DIGRAPHS Saib Suwilo
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

A 2-digraph is a digraph whose each ofits arcs is colored by either redor blue. The exponent ofa 2-digraphD is the smallest positive integerh + k over all possible nonnegative integers h and k such that for eachpair of vertices u and v in D there is a walk from u to v consisting of hred arcs and k blue arcs. In this paper, we show that for n 5 theexponent set of complete asymmetic 2-digraphs on n vertices is Eo :{2,3,4}.Keywords: 2-digraphs, primitive, exponent.
STUDY OF NONLINEAR PROGRAM MODELS FOR SOLVING REVENUE MANAGEMENT IN AIRLINE TNDUSTRY Siti Rusdiana et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

It is a common practice for Airline Industries have bargaining discountprices of tickets are sold to seat in cabin on the same flight. That callsRevenue Management. The yield management has focused mainly on theairline industries. Bathia, Parekh and Richter have developed some simpledecision rules to determine optimal booking limits in nested fare inventorysystem. To maximize the expected revenue, management needs todetermine the optimal times to switch between prices based on theremaining season and inventory.Keyword: Mathematical modeling, Nonlinear programming, InventoryControl
THE DOWNSIDE RISK OPTIMAL PORTFOLIO SELECTION PROBLEM Anton Abdulbasah kamil et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

One of the basic problems of applied finance is the optimal selection ofstocks, with the aim of maximizing future returns and minimizing therisk using a specified risk aversion factor. Variance is used as the riskmeasure in classical Markowitz model, thus resulting in a quadraticprograrnming. As an altemative, mean absolute deviation was proposedas a risk measure to replace the original risk measure, variance. Thisproblem is a straight-forward extension of the classic Markowitz mean-varianceapproach and the optimal portfolio problem can be formulatedas a linear programming problem. Taking the downside risk as the riskleads to different optimal portfolio. The effect of using only downsiderisk on optimal portfolio is analyzed in this paper by taking the meanabsolute negative deviation as the risk measure. This method isapplied to the opimal selection of stocks listed in Bursa Malaysia andthe return of the optimal portfolio is compared to the classicalMarkowitz model and mean absolute deviation model. The result showthat the optimal portfolios using downside risk measure outperforms theother two models.Keywords;-Portfolio optimizatiorr, Linear Programming, Downside risk.
COMBUSTION MODELING OF GASOLINE TWO-STROKE LINEAR ENGINE BY THE MODIFIED WEIBE FUNCTION Tulus et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

This paper presents the mathematical modeling of combustion in a two-strokelinear combustion engine incorporating combustion and kickbackchambers. A thermodynamics simulation is performed using a Weibeflrnction that applied to linear engine. The computer program isdeveloped to compute the instantaneous velocity and temperature in thecombustion chamber. The fuel is gasoline and the cylinder bore sizes tobe considered are of 50mm and 76mm. From the computation, theresults show that the peak temperatures are 870 K and 995 K, the meanvelocities during expansion are 3.8m/s and 5m/s, the mean velocitiesduring compression 2.9m/s and 4.4m/s, respectively.Keywords: mathematical modeling combustiorl linear engine
A VISUAL MODEL FOR COMPUTING SOME PROPERTIES OF U(n) AND Zn Nor Muhainiah Mohd Ali
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

A computer program is developed using Microsoft Visual C++ in theWindows environment. This program focuses on two specific finite Abelian groups, which are the group Zn under addition modulo n and the group U(n) under multiplication modulo n, where n is any positive integer less than or equal to 120. Computations of the properties of the two groups get more tedious and time consuming as the value of n increases. Therefore a program that couldassist in the computation would indeed be of great help. This program in C++ is written relating to some properties of Zn and U(n). It enables the user to enter any positive integer n (n · 120) to generate answers to some properties of these two groups. A lattice diagram can be obtained for any groups of Zn and, for groups of U(n) which are cyclic.
ALGEBRAIC ON MAGIC SQUARE OF ODD ORDER n Mahyuddin .
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

In this paper we described the relation betrreen a magic square of oddorder n and a group, and their properties. By the modulo number n, weconstruct entries for each table from initial table of magic square withlarge number n2. Generalization of the underlying ideas are presented, we have unique group, and we also prove variants of the main result formagic cubes.Keywords: entry, anay, algorithm, magic cubes, group.

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