Browsing Matematik Bölümü Tez Koleksiyonu by Title
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Reidemeister Torsiyon ve Yönlendirilmiş Yüzeylerin Pantolon Parçalanışı
(Fen Bilimleri Enstitüsü, 2015)In this thesis, we consider pants decomposition of orientable Riemann surfaces. First, using the notion symplectic chain complex, we prove a new formula Reidemeister torsion of a pair of pants. By using this, we establish ... 
Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler
(Fen Bilimleri Enstitüsü, 20200828)Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ... 
Serbest veya Yüzey Grubunun Temsil Uzayları ve Reidemeister Torsiyon
(Fen Bilimleri Enstitüsü, 2019)In this thesis, by using the algebraic topological instrument symplectic chain complex and the toplogical invariant Reidemeister torsion, which has also many applications in several branches of mathematics and theoretical ... 
Simitli Bir Çeşitlemin Genişlemeleri Üzerinde Hesaplama Kodları
(Fen Bilimleri Enstitüsü, 201709)In this thesis, evaluation codes defined on special subsets of projective toric varieties are studied. Two methods are presented in detail for finding generators of vanishing ideals which are used to compute parameters of ... 
Simitli Çeşitlem Üzerinde Üzerinde Parametrik Kodlar Ve Sıfırlayan İdealler
(Fen Bilimleri Enstitüsü, 2021)Let X be a complete simplicial toric variety over a finite field with a split torus T_X. This thesis is on parameterized codes obtained from the subgroups of the torus T_X parameterized by matrices. It is very important ... 
Solutıon of Dıfferentıal Equatıons Usıng Nonstandard Fınıte Dıfference Methods
(Fen Bilimleri Enstitüsü, 2015)Differential equations are mostly used to model real life problems. However, it is known that in general, these equations do not have complete solutions. For that reason, researchers have tried to solve these problems by ... 
Some Families of Combinatorial Matrices and Their Algebraic Properties
(Fen Bilimleri Enstitüsü, 201809)In this thesis, we will study some properties of certain families of combinatorial matrices. While some of the families will be examined throughout this thesis are new and firstly investigated, the others are the generalizations ... 
Some Generalizations of QuasiProjective Modules
(Fen Bilimleri Enstitüsü, 2014)Our main goal in this dissertation is to investigate semiprojective modules, direct projective modules and SGQprojective modules, which are generalizations of quasiprojective modules and to discover new properties and ... 
Some Results on Operator Theory Based on Unbounded Convergence
(Fen Bilimleri Enstitüsü, 20200831)Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ... 
Bir Sınıf Doğrusal Olmayan Difüzyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)This work is devoted to the existence and uniqueness of the solution of 3. typeinitialboundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our ... 
Bir Sınıf Doğrusal Olmayan DifüzyonKonveksiyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)In this dissertation, the solvability, uniqueness and longtime behavior of solution of the nonlinear diffusionconvection equation with 3. type boundary condition have been investigated. Firstly, when the initial condition ... 
Bir Sınıf Doğrusal Olmayan DifüzyonReaksiyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)In this dissertation, the study of longtime behavior and solvability of the reactiondiffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition on the bounded domain ... 
Sıralı Banach Uzayları Üzerinde Tanımlı Homojen Markov Zincirlerinin Cesaro Ortalamalarının Pertürbasyon Sınırları
(Fen Bilimleri Enstitüsü, 20171220)Dobrushin’s ergodicity coefficient is one of the effective tools for the investigations of limiting behaviours on the Markov process theory. Several interesting properties of the ergodicity of positive operators defined ... 
T0metrikimsi Uzayların Simetrisizliğine Yaklaşım Teorileri
(Fen Bilimleri Enstitüsü, 20211228)The aim of this thesis is to construct various original metric approach theories speci c to the asymmetric environment for the asymmetry of T0quasimetrics, nonmetrics and also known as asymmetric distance functions, ... 
The Injective Profile of a Ring and its Effect on the Structure of Rings
(Fen Bilimleri Enstitüsü, 2020)This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ... 
Topolojik Uzaylarda Yakınlık
(Fen Bilimleri Enstitüsü, 2017)This paper consists of four chapters. The fi rst chapter is an introduction which contains the basic motivation of nearness theory. The second section is devoted to nearness in metric spaces. Here, the nearness of two sets ... 
Torus Knots and Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)A closed curve homeomorphic to the unit circle in a 3manifold is called a knot. In particularly, a knot that can be drawn on a torus without intersecting itself is called a torus knot. In this thesis, we study torus knots ... 
Universal Modules of Differantial Operators
(Fen Bilimleri Enstitüsü, 2015)This thesis is concerned with universal differential operator modules of order n. Let R be a commutative kalgebra where k is an algebraically closed field of characteristic zero. Let m and n be positive integers such that ... 
Variations of Star Coloring on Graphs
(Fen Bilimleri Enstitüsü, 20210625)This thesis is constructed on a variety of coloring types in five chapters. Following the Introduction chapter, elementary definitions and methods used throughout the work are presented in Chapter 2. Chapter 3 presents ... 
Zayıf Disipatif CamassaHolm Denkleminin Patlaması Olayı Üzerine
(Fen Bilimleri Enstitüsü, 2015)This study is devoted to the blow up solutions of the Cauchy problem for the weakly dissipative CamassaHolm equation. In introductory chapter, the problem we studied has been introduced and other authors' studies done on ...