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Published by Universitas Syiah Kuala
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Core Subject : Education,
Mathematics
2nd conference of ICMSA was held in 2006 at Penang, Malaysia.
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Articles 49 Documents
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ON THE CARDINALITY OF THE SET OF SOLUTIONS TO CONGRUENCE EQUATION ASSOCIATED WITH QUINTIC FORM Siti Hasana Sapar
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

The exponential sum associated with f is defined aswhere the sum is taken over a complete set of residues modulo q and let x = (x1, x2, ... , xn) be a vector in the space Zn with Z ring of integers and q be a positive integer, f a polynomial in x with coefficients in Z. The value of S(f; q)has been shown to depend on the estimate of the cardinality |jV|, the number of elements contained in the setwhere fx is the partial derivative of f with respect to x = (x1, x2, ..., xn). This paper will give an explicit estimate of |V| for polynomial f(x; y) in Zp[x; y] of degree five. Earlier authors have investigated similar polynomials of lowerdegrees. The polynomial that we consider in this paper is as follows:The approach is by using p-adic Newton Polyhedron technique associated with this polynomial.
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
EXPONENTS OF PRIMITIVE GRAPHS CONTAINING TWO DISJOINT ODD CYCLES Indra Syahputra
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

A connected graph G is primitive provided there exists a positive integer k such that for each pair of vertices u and v in G there is a walk of length k connecting u and v. The smallest of such positive integer k is the exponent of G. A primitive graph is said to be odd primitive graph if it has an odd exponent. It is known that if G is an odd primitive graph then G contains two disjoint odd cycles. This paper discusses exponents of a class of primitivegraphs containing of exactly two disjoint odd cycles. For such graphs we characterize the odd and even primitive graphs.
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.
AN ALTERNATIVE CONSTRUCTION OF THE MOUFANG LOOP M(G, 2) Andrew Rajah
Proceedings of ICMSA Vol 2, No 1 (2006): Pure Maths : ICMSA 2006
Publisher : Proceedings of ICMSA

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Abstract

In [3], Orin Chein defined and constructed a class of Moufang loops called the M(G, 2) with a product rule which is rather complicated. We provide an alternative definition ofM(G, 2) with a much simpler product rule.

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