Volume 4, Issue 4 (2008) | Journal of Mathematics and Statistics

The Use of Taguchi Method to Determine Factors Affecting the Performance of Destination Sequence Distance Vector Routing Protocol in Mobile Ad Hoc Networks

Hazura. Mohamed — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.194.198

In this study, Taguchi method was used to identify the several factors that may affect the performance of Destination Sequence Distance Vector (DSDV) routing protocol. The performance of DSDV routing ...

Characterization of Chain as a Regular Semi Group

R. Kehinde — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.199.200

Problem Statement: There are some special classes of semi group namely: regular and eventually regular, abundant, orthodox, quasi-adequate. The objective of this study were to: (i) Define a new class ...

On the Stability and Ultimate Boundedness of Solutions for Certain Third Order Differential Equations

A.T. Ademola — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.201.207

Problem Statement: With respect to our observation in the relevant literature, work on stability and boundedness of solution for certain third order nonlinear differential equations where the nonlinea...

A Study on the Increase of Numerical Stability and Accuracy of the Transfer Matrix Method

Ioannis S. Zotos — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.208.212

Problem Statement: The transfer matrix method is a very useful tool for the static and dynamic analysis of structures. There are a number of issues though that worsens the numerical stability and the ...

Complex Specializations of Krammer's Representation of the Braid Group, B₃

Mohammad N. Abdulrahim — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.213.216

Problem statement: Classifying irreducible complex representations of an abstract group has been always a problem of interest in the field of group representations. In our study, we considered a linea...

Quadratic Interpolation Algorithm for Minimizing Tabulated Function

E.A. Youness — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.217.221

Problem statement: The problem of finding the minimum value of objective function, when we know only some values of it, is needed in more practical fields. Quadratic interpolation algorithms are the f...

A New Digital Signature Scheme Based on Factoring and Discrete Logarithms

E.S. Ismail — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.222.225

Problem statement: A digital signature scheme allows one to sign an electronic message and later the produced signature can be validated by the owner of the message or by any verifier. Most of the exi...

A New Weighted Rank Correlation

Tahani A. Maturi — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.226.230

Problem Statement: There have been many cases in real life where two independent sources have ranked n objects, with the interest focused on agreement in the top rankings. Spearman's rho and Kendall's...

Almost Graded Prime Ideals

Ameer Jaber — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.231.235

Problem Statement: Graded commutative ring with unity over an abelian group were introduced by many authors such as T. Y. Lam and C. T. C. Wall, and almost prime ideals over commutative rings with u...

On Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane Distortion

I.K. Youssef — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.236.244

Problem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the fini...

Fundamental Properties of the Galois Correspondence

Ayinde S. Olukayode — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.245.249

Problem Statement: Let K is the splitting field of a polynomial f(x) over a field F and αn be the roots of f in K. Let G be embedded as a subgroup of the symmetric group ς. We determined the Galois ...

Numerical Solution of Linear Integro-Differential Equations

Husein Jaradat — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.250.254

Problem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equatio...

Application of MultiScale Hidden Markov Modeling Wavelet Coefficients to fMRI Activation Detection

Fangyuan Nan — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.255.263

Problem Statement: The problem of detection of functional magnetic resonance images (fMRIs), that is, to decide active and nonactive regions of human brain from fMRIs is studied in this paper. fMRI re...

Numerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau Method

O.A. Taiwo — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.264.268

Problem Statement: Many boundary value problems that arise in real life situations defy analytical solution; hence numerical techniques are desirable to find the solution of such equations. New numeri...

A Stochastic Knapsack Problem with Continuous Random Capacity

Suwitchporn Witchakul — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.269.276

Problem Statement: The problem of allocating a set of items in order to maximize the toal linear profit under uncertain capacity referred as a stochastic knapsack problem with continuous random capaci...

A Robust Modification of the Goldfeld-Quandt Test for the Detection of Heteroscedasticity in the Presence of Outliers

Md. Sohel Rana — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.277.283

Problem statement: The problem of heteroscedasticity occurs in regression analysis for many practical reasons. It is now evident that the heteroscedastic problem affects both the estimation and test p...

Estimation of the Mean of Truncated Exponential Distribution

Faris Muslim Al-Athari — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.284.288

Problem statement: In this study, the researcher considers the problem of estimation of the mean of the truncated exponential distribution. Approach: This study contracted with maximum likelihood and ...