Mathematical Theory and Modeling
http://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></p>en-USMathematical Theory and Modeling2224-5804DeltaBeta-Rough Probability In Topological Spaces
http://www.iiste.org/Journals/index.php/MTM/article/view/22984
The main aim of the rough set is reducing the boundary region by increasing the lower approximation and decreasing the upper approximation, since..........<strong></strong>Mostafa A. ElgendyGalal. ElkobrosyAmr M. Amin5Full Details of Solving Initial Value Problems by Reproducing Kernel Hilbert Space Method
http://www.iiste.org/Journals/index.php/MTM/article/view/22985
<p>In this paper we solve in full details an initial value problem by reproducing kernel Hilbert space method and we notice that this solution is close to the exact solution.<strong> </strong></p> <p><strong><span style="text-decoration: underline;">Key words:</span></strong> Reproducing kernel Hilbert space method, Differential Equation, Initial value problem.<strong></strong></p>Saad N. AL- AzzawiShaher MomaniHuda Emad AL-Deen Jameel5Generalized Auto-regressive Conditional Heteroscedastic Modeling of the Volatility of Stock Returns in the Nairobi Securities Exchange
http://www.iiste.org/Journals/index.php/MTM/article/view/22986
<p>The most important characteristic of a stock or bond is its return or profit. This return is volatile and tomorrow’s price is uncertain and must be described by a probability distribution. The purpose of this study was to develop a model of stock returns in the Nairobi Securities Exchange (NSE) using the Generalized Autoregressive Conditional Heteroscedastic (GARCH) model. Closing prices of Safaricom and Kenya Commercial Bank (KCB) were obtained from the NSE for the period January 2011 to October 2014 which formed 1000 observations excluding weekends and holidays. Test for normality and stationarity was done using the Shapiro–Wilk test and Augmented Dickey Fuller (ADF) respectively. All the return series exhibited, leptokurtosis, volatility clustering and negative skewness. The estimation results reveal that GARCH (1, 1) best fits both return series over the period of study.</p> <p><strong>Keywords: </strong>Heteroscedasticity. Stock Returns, Volatility</p>Mutai Noah CheruiyotSinino Zipporah Kinyanjui5An Application of Spline and Piecewise Interpolation to Heat Transfer (Cubic Case)
http://www.iiste.org/Journals/index.php/MTM/article/view/22987
An Application of Cubic spline and piecewise interpolation formula was applied to compute heat transfer across the thermocline depth of three lakes in the study area of Auchi in Edo State of Nigeria. Eight temperature values each for depths 1m to 8m were collected from the lakes. Graphs of these temperatures against the depths were plotted. Cubic spline interpolation equation was modelled. MAPLE 15 software was used to simulate the modelled equation using the values of temperatures and depths in order to obtain the unknown coefficients of the variables in the 21 new equations. Three optimal equations were found to represent the thermocline depth for the three lakes. These equations were used to obtain the thermocline gradients......Chikwendu, C. R.Oduwole, H. K.Okoro S. I.5Micromodels For Numerical Analysis Topics Via Simi-Neural Net Between Matlab & MuPad
http://www.iiste.org/Journals/index.php/MTM/article/view/22988
<p>The aim of this paper is to create micro models for specific topics in numerical analysis, when by certain types of combined non-linear equations including trigonometric and/or exponential functions look likes impassive against elaboration while to portrait or determine their roots, also it will offer somewhat modified approach for treatment of these as well as other cases via semi-neural net between MAT LAB & MUPAD, Moreover it includes certain comparison between the proposed approach and the classical ones, those separately depends on Newton-Raphson, False position, Secant, Muller or others methods, While these methods already embedded & act individually, dually, or triply through by built-in Mat lab &Mupad Functions designed to seeking for polynomials or other roots, also there is mutual verification between FTA theorem & the micro models results, except that the author tried to produce elegant & unique of its kind image cal models through by Mat lab integrating within Mupad to enhance his thesis.</p> <p><strong>Keywords: </strong>infinite roots, dancing roots, complex roots, real roots, polynomial's roots, algebraic</p> <p>roots, combined equationroots,Newton-Raphson,Falsi-Regula,Secant,Bisection,Muller</p> <p>classical approximation, Mat lab & Mupad approximation, FTA Theorem.</p>Faisal Abdulateef Shaghati5Minimizing Multiple Objective Function for Scheduling Machine Problems
http://www.iiste.org/Journals/index.php/MTM/article/view/22989
<p>The multi-criteria problem of scheduling n jobs on a single machine was considered in this paper. The criteria belong to minimize total completion times, total tardiness and total late work and minimize total completion times, total tardiness and maximum late work by using some exact and local search methods. The proposed methods for solving these minimization problems were seemed to be helpful in finding the set of all efficient solutions. This set of all efficient solutions is not easy to find, therefore, it could be preferable to have an approximation to that set in a reasonable amount of time. Therefore branch and bound (BAB) technique was proposed as an exact approach, while the Genetic algorithm (GA) and Particle Swarm Optimization (PSO) methods were also proposed as local search methods.</p> <p><strong>Keywords</strong>: Multiple objective Scheduling, Branch and Bound, Pareto Optimal Solutions, Genetic Algorithm, Particle Swarm Optimization.</p>Saad Talib HassonShahbaa Mohammed Yousif5Multiple Logistic Regression Modeling On Risk Factors of Diabetes. Case Study of Gitwe Hospital (2011-2013)
http://www.iiste.org/Journals/index.php/MTM/article/view/22990
<p>The number of people with diabetes is increasing all over the world. A misconception that diabetes is a disease for urban areas while rural areas are also concerned, this is the motivation of the study. In this paper, a multiple logistic model is used to fit the risk factors of diabetes.</p> <p>A three year period (2011 to 2013) data from Gitwe Hospital are used. The software package that is used to process the data is SPSS 15.0.</p> <p>The test of independence between the dependent variable (diabetes) and the independent variables is performed. It is found that older age, alcohol consumption, cholesterol level, occupation status and hypertension were associated with the outcome of having diabetes. The predictors like gender; smoking, family history of diabetes had negligible association with having diabetes.</p> <p>A<strong> </strong>multiple logistic regression model containing all the predictor variables is fitted and a test of significance on coefficients is performed. The Wald test reveals that on one hand, the significant predictors are: older age, Occupation status, Alcohol consumption, Cholesterol level and Hypertension. On the other hand, the predictors which are not statistically significant are: Gender, smoking and family history of diabetes.</p> <p>From the odds ratio results, older age persons, patients who consume alcohol, patients with high cholesterol level and hypertensive persons are highly susceptible for diabetes occurrence.</p> <p> </p> <p>Finally, a multiple logistic regression with only significant parameters was fitted. Based on their respective Receiver Operator Characteristic (ROC) curve and their overall explanatory strength the conclusion is that the reduced model fits better the data than the model with all predictor variables.</p> <p><strong>Keywords</strong>: Logistic regression, Diabetes.</p>Niyikora SylvereJoseph K. Mung'atuMarcel Ndengo5Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces
http://www.iiste.org/Journals/index.php/MTM/article/view/22991
<p>The purpose of this paper is to give some new fixed point theorems for contractive type mappings in fuzzy metric spaces. The results presented improve and generalize some recent result<strong>. </strong>The result is a genuine generalization of the corresponding result of S.Sedghi et al. (2010).</p> <p> </p> <p><strong>Keywords:</strong> Fuzzy metric space, t-norm, g-convergent, coupled common fixed point.<strong> </strong></p> <p>2010 MSC: Primary 54E70; Secondary 54H25.</p>V.K. AgrawalGeeta ModiAjay Soni5On Comparison of Some Imputation Techniques in Multivariate Data Analysis
http://www.iiste.org/Journals/index.php/MTM/article/view/22992
<p>Listwise or pairwise deletion as the method of handling missing data in multivariate data leads to loss of statistical power, biased results and underestimation of standard errors and P-values.Four imputation techniques namely Regression, Stochastic, Expectation-Maximization (EM) and Multiple Imputation (MI) were considered and compared in terms of preserving the original distribution of the (multivariate) data and the relationships among the variables before the techniques were applied. Results show that none of the techniques performed absolutely better than the rest leaving the choice of imputation techniques in any dataset on the objectives of the researcher.</p> <p><em>Keyword:</em> Imputation, missing data, Expectation Maximization, Multiple Imputation, Root Mean Square Error.</p>Chukwu, A. UEzichi, O. NDike A. O5Transitivity Action of An on (n=4,5,6,7) on Unordered and Ordered Quadrupples
http://www.iiste.org/Journals/index.php/MTM/article/view/22993
In this paper, we study some transitivity action properties of the alternating group ..............Gachago j.kimaniKinyanjui J.NRimberia j,Patrick kimaniJacob kiboi muchemi5Trend of Foreign Currency Earnings by the Garment Sectors in Bangladesh
http://www.iiste.org/Journals/index.php/MTM/article/view/22994
<div class="WordSection1"><p>This study was an attempt to know the trend of foreign exchange earnings on garment sectors in Bangladesh. Secondary data was used for the period 1983-20013 to estimate this trend. Different statistical methods and trend models were used to perform the analysis. An upward trend of exchange earning has been observed over the study period. The semi-log trend model was found to be the best fitted model for the foreign exchange earnings on garment sector in Bangladesh. The results showed significantly upward trend with a growth rate 30.918 percent in this sector. Thus it is gratifying that the garment industry of the country is expanding day by day and to increase the growth rate, Bangladesh government need to take proper action for better economy.</p> <p><strong>Key Words:</strong><strong> </strong>Trend, Foreign currency, Economy, Garment sector, Bangladesh</p></div> <br />Abdur RahmanMd. Jibanul Haque Jiban5Bilateral generating relations for modified Konhauser polynomial with discrete variable
http://www.iiste.org/Journals/index.php/MTM/article/view/22995
<p>In [10], we introduced a modified Konhauser polynomial with discrete variable. In this paper an attempt has been made to obtain some bilateral generating relations for modified Konhauser polynomial with discrete variable. Each result is followed by its applications to the classical orthogonal polynomials.</p> <p><strong>Key words</strong>: Konhauser polynomial, modified Jacobi polynomial, Laguerre polynomial.</p>B. SatyanarayanaN. SrimannarayanaY. Pragathi Kumar5Common Unique Fixed Point Theorem for Random Operators in Hilbert Space
http://www.iiste.org/Journals/index.php/MTM/article/view/22996
<p>The object of this paper is to obtain a common fixed point theorem for four continuous random operators by considering a sequence of measurable functions satisfying certain contractive condition in separable Hilbert space.</p> <p><strong>Keywords:</strong> Separable Hilbert space, random operators, common random fixed point, rational inequality.</p> <p> </p>Anupama Gupta . BUIT (BU) BHOPAL5Dufour Effect On MHD Free Convection Flow of Chemically Reactive and Radiation Absorption Fluid Past a Vertical Permeable Moving Plate with Variable Suction
http://www.iiste.org/Journals/index.php/MTM/article/view/22997
<p>Electrically conducting, chemically reacting and heat generation/absorbing fluid flow through a porous medium is examined over a semi-infinite vertical permeable surface in the presence of a radiation absorption and diffusion-thermo effects. The plate is assumed to move with a constant velocity in the direction of fluid flow. A uniform magnetic field of strength is applied perpendicular to the porous surface, which absorbs the fluid with a variable suction velocity. The dimensionless governing equations are solved analytically using two term harmonic and non-harmonic functions. The effect of velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number for different flow parameters are shown in graphical and tabular forms.</p> <p><strong>Keywords</strong>: Chemical reaction; Mass diffusion; Radiation absorption; Diffusion-thermo (Dufour number).</p>R.V.M.S.S Kiran Kumar A.G.Vijaya KumarM.C.Raju S.V.K. Varma5A Unique Common Fixed Point Theorems in generalized D*- Metric Spaces
http://www.iiste.org/Journals/index.php/MTM/article/view/22998
<p>In this paper we establish some common fixed point theorem for contractive type mapping in cone metric spaces and prove some generalized complete <em>D*</em>- metric spaces.</p> <p>Keywords: <em>D*-</em> metric space, common fixed points, normal cones.</p>Salih Yousuf Mohammed SalihNuraddeen Gafai Sayyadi5Modified Homotopy Perturbation Method (MHPM) for Dynamics Gas Equation
http://www.iiste.org/Journals/index.php/MTM/article/view/22999
<p>In this paper, Modified Homotopy Perturbation Method (MHPM) is applied to solve the nonlinear homogeneous dynamics gas equation and analytic solution is found. The proposed method proves to be a powerful scheme for solving the strictly nonlinear partial differential equations as it reduces the computational work and the solution converges rapidly to the exact solution.</p>Ghulam Mohiuddin5Modified Artificial Neural Networks For Solving Fuzzy Differential Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/23000
<p>In this paper, we introduce a novel approach based on modified neural networks to solve fuzzy differential equations. Using modified neural network makes that training points should be selected over an open interval without training the network in the range of first and end points. Therefore, the calculating volume involving computational error is reduced. In fact, the training points depending on the distance selected for training neural network are converted to similar points in the open interval by using a new approach, then the network is trained in these similar areas. In comparison with existing similar neural networks proposed model provides solutions with high accuracy. The proposed method is illustrated by three numerical examples.</p> <p><strong>Keywords:</strong> Fuzzy differential equation, Modified neural network,</p> <p>Feed-forward neural network, BFGS Teqnique, Hyperbolic tangent function.</p>Eman A.HussianMazin H. Suhhiem5The Product of Finite Numbers of Automorphic Composition Operators on Hardy Space H2
http://www.iiste.org/Journals/index.php/MTM/article/view/23001
Throughout this paper we study the properties of the composition operator..........Eiman H. AboodSamira N. KadhimSarah M. Khalil5MIXED POISSON DISTRIBUTIONS ASSOCIATED WITH HAZARD FUNCTIONS OF EXPONENTIAL MIXTURES
http://www.iiste.org/Journals/index.php/MTM/article/view/23002
The hazard function of an exponential mixture characterizes an in- nitely divisible mixed Poisson distribution which is also a compound Poisson distribution. Given the hazard function, the probability generating functions (pgf) of the compound Poisson distribution and its independent and identically distributed (iid) random variables are derived.The recursive forms of the distributions are also given. Hofmann hazard function has been discussed and re-parameterized. The recursive form of the distribution of the iid random variables for the Hofmann distribution follows Panjer's model. Key words: Mixed Poisson distributions, Laplace transform, expo- nential mixtures, complete monotocity, in nite divisibility, compound Poisson distribution, Hofmann distributions, Panjer's model.Moses W. WakoliJoseph A. M. Ottieno5Mixed Poisson Distributions in terms of Special Functions
http://www.iiste.org/Journals/index.php/MTM/article/view/23003
Mixed Poisson distributions can be expressed in explicit, recursive and expectation forms. It can also be expressed in terms of special functions. This paper expresses mixed Poisson distributions and their proba- bility generating functions in terms of Con uent Hypergeometric func- tions and modi ed Bessel function of the third kind. Keywords: Mixed Poisson; Con uent Hypergeometric; Bessel fun- tion; Probability generating functioR. J. SargutaJ. A. M. Ottieno5