Browsing Theses (Master's and Ph.D) – Mathematics by Title

EMU I-REP

Browsing Theses (Master's and Ph.D) – Mathematics by Title

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  • Generalized Bernstein Polynomials 
    Ustaoğlu, Ceren (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-09)
    ABSTRACT: This thesis consisting of three chapters is concerned with Bernstein polynomials. In the first chapter, an introduction to Bernstein polynomials is given. Then, basic properties of Bernstein polynomials are studied ...
  • Generalized Bezier Curves Based on Lupaş q-Analogue of the Bernstein Operator 
    Atamert, Mehmet Salih (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)
    In this thesis, we study the Bezier curves and their properties. Bezier curves are one of the most important curves in Computer-Aided Geometric Design (CAGD). Bernstein functions are the basis of the Bezier curves. ...
  • The Generalized Incomplete Gamma Functions 
    Aşçıoğlu, Didem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-09)
    Engineering and physics demand a through knowledge of applied mathematics and a good understanding of special functions. These functions commonly arise in such areas of applications as heat conduction, communication ...
  • Graph Indices on Grids 
    Mujahed, Hamzeh Abdel Hamid (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    The Wiener index of a graph, known as the “sum of distances” of a connected graph, is the first topological index used in chemistry to sum the distances between all unordered pairs of vertices of a graph. Wiener index, ...
  • Grid Approximation of Derivatives of the Solution of Heat Conduction Equation 
    Farinola, Lawrence Adedayo (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019-06)
    In this study we propose special difference problems of the four point scheme and six point symmetric implicit scheme (Crank and Nicolson) for the approximation of first and second partial derivatives of the solution ( ...
  • Grover Algorithm 
    Gazioğlu, Ersan (Eastern Mediterranean University (EMU), 2011)
    Although, the past years brought many exciting and pathfinder achievements in computer science, computer engineers still agreed on a point that the computers of the next generation should be the quantum computers. These ...
  • Hebb Rule Method in Neural Network for Pattern Association 
    Hama, Hello Ali (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-05)
    ABSTRACT: In the process of the development of intelligent systems the artificial neural network plays an important role as a paradigm for pattern recognition, pattern association, optimization, prediction, and decision ...
  • Hexagonal Grid Approximation of the Solution of Two Dimensional Heat Equation 
    Arshad, Nouman (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    We consider the first type boundary value problem of heat equation ¶u ¶t = w ¶2u ¶x2 1 + ¶2u ¶x2 2 + f (x1;x2; t) in two space dimensions on special polygons with interior angles ajp, j = 1;2; :::;M, where ...
  • High Order Accurate Approximation of the First and Pure Second Derivatives of the Laplace Equation on a Rectangle and a Rectangular Parallelepiped 
    Sadeghi, Hamid Mir Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    In thisthesis,wediscusstheapproximationofthefirstandpuresecondorderderiva- tivesforthesolutionoftheDirichletproblemforLaplace’sequationonarectangular domain andinarectangularparallelepiped.Inthecasewhenthedomainisarect ...
  • Implementation of Strategies for Solving Constraint Satisfaction Problems 
    Hasan, Zewar Fadhlulddin (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-07)
    This thesis investigates the different strategies for solving constraint satisfaction problems. The basic properties of constraint satisfaction problems are discussed. The different types of constraints are given. The ...
  • Implementing Petri Nets for Modelling and Simulation in Biosciences 
    Dolma, Fatma (Eastern Mediterranean University (EMU), 2012)
    ABSTRACT: It was in 1993 that Petri nets were introduced for modelling of biochemical reactions. Since that time Petri nets are increasingly used to dive deep into the details of functioning of cumbersome biological ...
  • Important Relations of Classical Orthogonal Polynomials 
    Akacan, Ertan (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    In this thesis, the theory of classical orthogonal polynomials which are Hermite, Laguerre and Jacobi polynomials will be studied. To begin with, we will supply an outline regarding the special functions. Followed by ...
  • Imputing Missing Values Using Support Variables with Application to Barley Grain Yield 
    Erbilen, Mustafa (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)
    In any data collection process, regardless of the sampling method, missing data values are encountered due to many different reasons. Depending on the amount of missing data the results to be obtained from the analysis of ...
  • Incomplete Pochhammer Ratios and Related Special Functions 
    Ustaoğlu, Ceren (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    This thesis includes five chapters. In the first chapter, general information and some preliminaries that used throughout the thesis are given. In Chapter 2, the incomplete Pochhammer ratios are defined in terms of the ...
  • Integral Type Fractional Gronwall Inequalities 
    Jangeer, Abdullah Hasan (Eastern Mediterranean University EMU, 2015-09)
    The current research involves the ideas and principles about integral inequalities of Gronwall type. It deals with the possibilities that we mathematicians use in order to solve equations in various ways. The first case ...
  • The Interplay between Fractional Calculus and Complex Analysis 
    Bouzouina, Chaima (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    The usual definitions of fractional derivatives and integrals are very well-suited for a fractional generalisation of real analysis. But the basic building blocks of complex analysis are different: although fractional ...
  • Invariants and Bestvina-Brady Groups 
    Emin, Sedef Sultan (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-02)
    ABSTRACT: The aim of this thesis is to compute the Euler Characteristic of the Bestvina-Brady groups. First, the analytical topology, the point-set topology is introduced. Then, the main purpose of the use of algebraic ...
  • Investigation of Basic Concepts of Fuzzy Arithmetic 
    Musa, Isma`il Muhammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-02)
    ABSTRACT: Fuzzy arithmetic is an extensively used instrument for dealing with uncertainty in a computationally competent method, recently and much better in the upcoming years. This thesis aims to investigate the basic ...
  • Irreducible Representations of Some Finite Groups 
    Avkan, Aydın (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-08)
    In this thesis we compute the irreducible representations and the characters of some certain finite groups. We first provide the necessary overview on linear algebra, group theory and the representations theory. Then, we ...
  • Kalman Filtering under Wide Band Noises 
    Abuassba, Kanda Jamal (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Kalman filtering is a powerful estimation method. One of its weaknesses is related to the white or colored nature of the disturbing noises in the Kalman filtering model. At the same time, real noises are rarely white or ...