Hidden Markov Models (HMMs) has become increasingly popular in the last few decades due to its very rich mathematical structure and therefore forming the theoretical basis for use in a wide range of real-life applications such as in speech and image recognition, motion analysis in videos, bio-informatics among others. However, an effective optimization of the parameters of these Models for enhanced performance has remained computationally challenging and there is no generally agreed method th...

In this thesis, a number of solutions are proposed to enhancing and improving the security and confidentiality of Cloud Enterprise Resource Planning (ERP) Data. Firstly, the Asmuth-Bloom, Blakley, Mignote and other Secret Sharing Schemes (SSS) are reviewed, adopted and modified in order to present a relatively improved secret sharing scheme. Conditions for the scheme is also presented as well as algorithms for implementation of the scheme presented by this research. Secondly, a hybrid of two ...

The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point flow involv...

In this thesis, the notion of quasiconvex functions on time scales and some properties are established. The subdifferential for quasiconvex function on time scales is presented as well as some properties regarding quasiconvex function. Some Jensen’s inequalities for quasiconvex functions on time scales are also given with some applications. The study again proves that Jensen’s inequality holds for quasiconcave monetary utility function in conjunction with convex, concave, quasiconvex and ...

Unsteady heat and mass transfers are important transport phenomena that are found in many engineering and industrial applications. In such systems, the variations in the fluid flow result in variations in the heat flux for fluid-solid temperature difference. In this study, analytical and theoretical investigations of some non-linear problems arising from unsteady heat and mass transfer through porous media are considered. Analytical models are developed. These are non-linear mathematical mode...

There is high demand by content providers of multimedia services such as Pay-TV News, Pay-per-View (PPV) video and Video-on-Demand (VoD) to expand their customer based through advertisement. However, the threats of unauthorized access, reproduction and re-distribution of the high quality product by illegal users’ remains high thereby affecting the returns of the content providers/producers. In this regard, perceptual video cryptosystems have become a highly active research area; developing ...

Abstract This study set out to examine and map the spatial variation of infant mortality in Kenya. We used data from Demographic and Health Survey (DHS) database to explore spatial variation. Generalized linear mixed inodel(GLMM) with Enumeration Areas (EA) specific random effects was used to assess the effects of geographical heterogeneity and other covariates. The model based Geostatistical methods were used to quantify the spatial variations of the observations using the variograms and fi...

Introduction In Mathematics class in every discussion or lesson to be tackled, there is a part where students or learners tend to be exposed to problem-solving. An activity that stimulates those learners to understand today's topic or access their mastery of the lesson that the teacher teaches. The ability to solve problems is a basic life skill and is essential to our day-to-day lives, at home, at school, at home, and at work. We solve problems every day with or without thinking about how we...

ABSTRACT We have modelled an open channel flow through a porous media (River). In the model, we considered water as an incompressible fluid; the flow as steady and uniform; the system is assumed to be isothermal and the flow, also a laminar flow. We have solved the resulting equation using analytical method. By some mathematical operations, the momentum partial differential equation (PDE) was reduced to ordinary differential equation (ODE) and the resulting equations are solved analytically u...

TABLE OF CONTENT Title Page - - - - - - - - - i Approval Page- - - - - - - - - ii Certification - - - - - - - - - iii Dedication - - - - - - - - - iv Acknowledgement - - - - - - - - v Table of Content - - - - - - - - vi Abstract - - - - - - - - - vii Chapter One : Introduction - - - - - - 1 1.1 Background of the Study - - - - - - - 1 1.2 Aims and Objective of the Study - - - - - - 5 1.3 Limitations - - - - - - - - 6 1.4 Scope of the study - - - - - - - 6 1.5 The Study- - - - - - - - - 6 1.6 D...

ABSTRACT We considered the evolutional problems in two-dimensional autonomous system. We showed that the bifurcating steady solutions are obtained from the points of intersection of the two conic sections and we used the implicit function theorem to justify their existence, and also we applied the Lyapunov theorem to establish their stability. CONTENTS Title Page i Certification ii Dedication iii Acknowledgement iv Contents v Abstract vi Chapter One INTRODUCTION 1 Chapter Two LITERATURE REVIE...

ABSTRACT A mathematical model consisting of a set of two coupled non-linear reaction diffusion equations has been developed. The model is based on the chemical kinetics of transesterification for biodiesel production using irreversible and non-catalytic conditions. Employing the hyperbolic tangent approach, an exact analytical solution for the travelling-waves of a finite series form was found. The wave number and the speed of the wave were determined. Furthermore,physical interpretations wer...

ABSTRACT In this work, we propose mathematical models for the processes that take place in the human eye and how they contribute to the development of pathological states. We considered and studied two related dynamics processes that take place in the eye. Firstly, a generalized mathematical model of aqueous humour flow driven by temperature gradient in the anterior chamber is presented. This predicts the flow behavior when the ambient temperature is higher than the core body temperature. The...

ABSTRACT Let H be a real Hilbert space and K a nonempty, closed convex subset of H.Let T : K → K be Lipschitz pseudo-contractive map with a nonempty fixed points set. We introduce a modified Ishikawa iterative algorithm for Lipschitz pseudo-contractive maps and prove that our new iterative algorithm converges strongly to a fixed point of T in real Hilbert space. Contents Certification ii Dedication iii Acknowledgement iv Abstract viii 1 Introduction 1 1.1 General Introduction . . . . . . . ...

ABSTRACT A mathematical model, describing glucose, insulin and β-cells mass dynamics of a type 2 diabetic patient was developed in the form of a system of ordinary differential equation, considering insulin resistance, the body inability to overcome the resistance and the fact that glucose production from food intake is not constant. Numerical solution of the model using RungeKutta code in MATLAB, graphically shows rise in blood glucose concentration and further decline over time in glucose ...