Volume 3, Issue 4 (2007) | Journal of Mathematics and Statistics

Mathematical Sophistication and Differentiated Emotions during Mathematical Problem Solving

Bradford D. Allen — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.163.167

George Polya, author of Mathematical Discovery and the enduring best seller How to Solve It: A New Aspect of Mathematical Method, claims that more sophisticated people experience more differentiated e...

The Extended Laplace Transform

Sabra Ramadan — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.168.171

The space of new generalized functions has been constructed. The operation of associative multiplication has been defined on this space. The Extended Laplace Transform has been defined.

Numerical Treatment of the Mathematical Models for Water Pollution

F. B. Agusto — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.172.180

To evaluate the environmental impact of pollution, mathematical models play a major role in predicting the pollution level in the regions under consideration. This paper examines the various mathemati...

Nonparametric Analysis on System Availability: Confidence Bound and Power Function

Jau-Chuan Ke — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.181.187

In this study we consider the steady-state availability, denoted A, of a system with distribution-free failure and repair time. In particular, we are interested in constructing a lower confidence boun...

Measures on the Quotient Spaces of the Integers

Norris Sookoo — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.188.195

SK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These dis...

A Comparative Study of the Performances of the OLS and some GLS Estimators when Stochastic Regressors are both Collinear and Correlated with Error Terms

Kayode Ayinde — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.196.200

The Classical Linear Regression Model assumes that regressors are non – stochastic, independent and uncorrelated with the error terms. These assumptions are not always tenable especially where regre...

A New Approach to Solve Nonlinear Partial Differential Equations

Abdoul R. Ghotbi — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.201.206

Nonlinear phenomena play a crucial role in applied mathematics and physics. Explicit solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining explicit solution...

On a Class of Nonhomogeneous Fields in Hilbert Space

Raéd Hatamleh — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.207.210

Two-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, whe...

Reliability Parameters of a Power Generating System with Shared Load

Ritu Gupta — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.211.219

This study presents a model, based on power generating system with shared load. The whole generating system consists of three subsystems viz: subsystem A , subsystem B and subsystem C. The subsystem A...

On Characteristic Functions of Fırst Order Theta Function

İsmet Yıldız — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.220.221

In thıs study, a relation on the coefficients periods of first order theta function according to the period pair using the theta characteristic values is established.

On Discrete Least Squares Polynomial Fit, Linear Spaces and Data Classification

François Dubeau — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.222.227

The best discrete least squares polynomial fit to a data set is revisited. We point out some properties related to the best polynomial and precise the dimension of vector spaces encountered to solve t...

Variable Velocity Influence on the Vibration of Simply Supported Bernoulli - Euler Beam Under Exponentially Varying Magnitude Moving Load

T. O. Awodola — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.228.232

The variable velocity influence on the vibration of a simply supported Bernoulli-Euler beam, resting on a uniform foundation, under the action of an exponentially varying magnitude load moving with va...

Numerical Solution For Frank-Kamenetskii And Activation Energy Parameters in Reactive-Diffusive Equation with Variable One-Exponential Factor

O. K. Koriko — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.233.236

In this study, we considered a steady state, exothermic chemical reaction, taking the diffusion of the reactant into account and assuming an Arrhenius temperature dependence with variable pre-exponent...

On the Discretized Algorithm for Optimal Problems Constrained by Differential Equation with Real Coefficients

O. Olotu — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.237.242

A discretized scheme, Discretized Continuous Algorithm (DCA), for solving constrained quadratic optimal control problems was developed to ease the computational cumbersomeness inherent in some existin...

On the Transformation T_+m Due Gray and Clark

Kacem Belghaba — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.243.248

We determine the values of the integer m for which the parametric transformation T+m due Gray and Clark is well conditionned. This process of acceleration being quasilinear transformation, we use an ...

Numerical Study on the Effect of Linear Friction of Long-Wave Propagation and Breaking with Sloping Bottom

Agustinus Ribal — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.263.267

In this study, we investigate the breaking of long-waves propagating on shallow water with linear friction on the sloping bottom. A complete set of equations is presented and a numerical method is dev...

Some Algorithms to Identify Rational Structures in Stochastic Processes with Expectations

Concepción González-Concepción — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2007.268.276

This research was concerned with the identification of rational models in stochastic processes and we use the Padé-Laurent Approximation to identify a Transfer-Function Model with Expectations. We me...