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Published by Universitas Syiah Kuala
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2nd conference of ICMSA was held in 2006 at Penang, Malaysia.
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Articles 31 Documents
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Search results for , issue "Vol 1, No 1 (2005): ICMSA 2005" : 31 Documents clear
New Holder - Type Inequalities for the Tracy-Singh and Khatri-Rao Products of Positive Matrices Zeyad Abdel Al Ziz Al Zhour
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

Recently, the authors establised a number of inequalities involving Khatri-Rao product of two positives matrices. Here, in this paper, the result are establised in three ways. First, we find new Holder-type inequalities for Tracy-Singh and Khatri-Rao products products of positive semi-devinite matrices. Second, the result are extended to provide estimates of sums of the Khatri-Rao and Tracy-Singh products of any finite number of positive semi-definite matrices. Three, the result lead to inequalities involving the Hadamard and Kronecker, as a special case.
STABILITY IN TWO-STAGE STOCHASTIC INTEGER PROGRAMMING Esther Nababan
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

There is a large number of different approaches for formulating andsolving optimization problems under uncertainty. In applications, one isusually faces incomplete information on probability measure u.Numerical attemps has been made mostly rely on approximating u by"simpler" measures. This paper presents overview of stability of twostageStochastic Integer Programming model under perturbations of theintegrating probability measure u.Keywords : stochastic programming, complete integer recourse,Simple integer recourse, stability, probability measure.
A FOURTH-ORDER FINITE DIFFERENCE SOLVER FOR POISSON'S EQUATION VIA THE HALF-SWEEP ARITHMETIC MEAN (HSAM) METHOD J. Sulaiman et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The main purpose ofthis paper is to validate the efficiency and accuracyof the Half-Sweep Arithmetic Mean (HSAM) method using the fourth orderfinite difference approximation equation to solve one-dimensionalPoisson's equation. In this paper, we formulate the Full-Sweep andHalf-Sweep Arithmetic Mean methods, namely FSAM and HSAMrespectively. Finally some computational experiments were conductedto prove that the fourth-order solver using the HSAM methods issuperior to the FSAM method.Keywords: Half-Sweep Iterative, Arithmetic Mean Algorithm, Fourth-Order Finite Difference, Poisson's equation
LINEAR EQUATIONS OVER COMMUTATIVE RINGS AND DETERMINANTAL IDEALS Elvina Herawaty
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

This paper discusses about necessary and sufficient condition for linierequations over commuktive rings and relation to determinantal ideals.Keywords: system, vector, Crame's rule.
OPTIMIZATION MODELS FOR COMMUNICATION NETWORK DESIGN Iryanto et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The use of both Genetic Algorithms and Linier programming to solvethe general problem of communication system design is considered.The network synthesis problem is known to be NP-complete and thecombinatorial nature of it lends itself to genetic algorithms rather thanconventional mathematical programming approaches. Once a networktopology is established, linier programming can be used to optimizenetwork flows to satisfy specified origin-destination demands.Keywords: Network Design, Genetic Algorithms
THE DYNAMIC BEHAVIORS OF RBC, EPO AND OXYGEN WITH TIME DELAY Kancana Kumnungkit et al.
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

The process by which the red blood cells are developed is known aserythropoiesis. It is depicted that while the process involves manycomponents, the ones are the erthrocytes themselves ant theerythropoietin hormone (EPO). The hemoglobin in the RBC absorbs theoxygen when it is flowing in the lung. The production and feedback loopin eryttropoiesis consist of RBC coming from the bone marrow. Amathematical model for this process which connecting the of erythrocytes(or RBC), the EPO and The oxygen is proposed together with time delay.A bifurcation analysis is carried out to determine the ranges of parametervalues that would lead to state productions of RBC. We have also shownthe computer simulations of the behaviors.Keywords: erythropoiesis, erythrocyte, bifurcation analysis, time delay
TECHNOLOGY IN MATHEMATICS: STUDENTS PERSPECTIVE Mohd Sulhi bin Azman
Proceedings of ICMSA Vol 1, No 1 (2005): ICMSA 2005
Publisher : Proceedings of ICMSA

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Abstract

Technology is one of the current advances utilized in the learning andteaching of Mathematics. Recently, technology plays a vital role invarious fields and aspects - particularly in mathematics. Technology isan advance paradigm of human civilization since it is one of the newinventions required in the modem world. We view that technology is acatalyst for critical thinking, a vehicle for integralion and a tool forexpediancy. In recent years, mathematics educator employedtechnology and use it as part of teaching aids. The pedagogical notionof "pencil-paper" method has now been replaced by advancetechnological tool such as graphics calculator (GC). This suggests thattechnolory enhance students' performance in Mathematics. This paperexamines the role and use of technology in enhancing students'performance in Mathematics. Various examples including computeralgebra system (CAS) and graphic calculator (GC) are discussed inorder to support the idea of integration of technology in mathematics.In this paper, we will also identify the benefit of these current advances(i.e. technology) from many perspectives. Inter-dependent andcollaborative leaming are achieved by integrating conceptualmathematics with technology.
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

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