Matematik Bölümü
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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 ... -
A Study On Direct Summand Submodules Over Noncommutative Rings
(Fen Bilimleri Enstitüsü, 2018)A natural problem to consider in ring and module theory is to investigate the cancellation property of a given object. This problem was first considered by Jónsson and Tarski for any algebraic system and then gave rise ... -
Torus Knots and Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)A closed curve homeomorphic to the unit circle in a 3-manifold 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 ... -
Open Book Decompositions And Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3-manifold. In this thesis, the importance of open book decompositions in terms of contact 3-manifolds will be studied by ... -
Some Families of Combinatorial Matrices and Their Algebraic Properties
(Fen Bilimleri Enstitüsü, 2018-09)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 ... -
Diçatılara Genelleştirilmiş Bazı Topolojik Kavramlar
(Fen Bilimleri Enstitüsü, 2018)The aim of this thesis is to define the notion of diframe as a generalization of ditopological texture spaces and to study the topological concepts such as separation axioms and compactness in diframe setting. This work ... -
Lineer Olmayan Kısmi Diferansiyel Denklemlerin Backlund Dönüşümleri
(Fen Bilimleri Enstitüsü, 2018)In this thesis, it is studied how the B¨acklund transformations of nonlinear partial differential equations are obtained and deriving new solutions from the known solutions by using these transformations with the ... -
Legendre Düğümlerinin Sınıflandırılması
(Fen Bilimleri Enstitüsü, 2017)A contact structure on a 3-manifold is a maximally non-integrable 2-plane field distributed all over the 3-manifold. There are two types of contact structures on 3-manifolds: tight and overtwisted. Knots that are everywhere ... -
Kuasilineer Dalga Denkleminin Uzun Zaman Davranışı
(Fen Bilimleri Enstitüsü, 2018)In this thesis, we concern the long time behaviours of the one dimensional strongly damped nonlinear wave equation u_tt-u_txx-∂/∂x (|u_x |^(p-2) u_x )+f(u)=g(x) (1) in bounded domain and the one dimensional strongly ... -
Derivations and Automorphisms of Certain Subrings of Matrix Rings
(Fen Bilimleri Enstitüsü, 2018)Let K be an arbitrary associative ring with identity. We denote by Mn(K) the ring of all nxn matrices over K. Say K=F for some field F. Then it is a consequence of Skolem-Noether theorem that every automorphism of Mn(F) ... -
Hareket Veri Tabanlarında Fizik Tabanlı Benzerlik Arama
(Fen Bilimleri Enstitüsü, 2018)Human motion capture data is a digital representation of the complex spatio temporal structure of three dimensional human motion. With the rapid development of motion capturing technologies and the more common use of motion ... -
Sıralı Banach Uzayları Üzerinde Tanımlı Homojen Markov Zincirlerinin Cesaro Ortalamalarının Pertürbasyon Sınırları
(Fen Bilimleri Enstitüsü, 2017-12-20)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 ... -
GEÇİŞLİ DÜZGÜNÜMSÜ UZAYLARIN TEORİSİ
(Fen Bilimleri Enstitüsü, 2017)In this thesis, a detailed compilation study about the theory of transitive quasi-uniform spaces constructed in peculiar to asymmetric topology as well as the various results, together with the fundamental properties ... -
Simitli Bir Çeşitlemin Genişlemeleri Üzerinde Hesaplama Kodları
(Fen Bilimleri Enstitüsü, 2017-09)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 ... -
DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ
(Fen Bilimleri Enstitüsü, 2017-08)In commutative setting, prime ideals are very important tools to determine the structure of a ring. In this thesis, some structure theorems will be discussed which belong to Cohen and Kaplansky. The aim of this thesis ... -
γ-BUTSON-HADAMARD MATRICES AND THEIR CRYPTOGRAPHIC APPLICATIONS
(Fen Bilimleri Enstitüsü, 2017)A Hadamard matrix is a square matrix with entries ±1 whose rows are orthogonal to each other. Hadamard matrices appear in various fields including cryptography, coding theory, combinatorics etc. This thesis takes an interest ... -
İDEAL VE MODÜL İNDİRGEMELERİ
(Fen Bilimleri Enstitüsü, 2017)In Commutative Algebra, there have been numerous significant contributions for understanding growth of ideals. Research in this direction is mostly based on the concept of Hilbert-Samuel polynomials. In fact, given an ... -
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 ... -
Kademeli Halkalar, Modüller ve Çokkatlılık
(Fen Bilimleri Enstitüsü, 2017-04-14)This thesis is based on a research over graded rings and graded modules as well as some related ideas which are of particular importance especially to the areas Algebra and Geometry. An important concept related to graded ... -
Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi
(Fen Bilimleri Enstitüsü, 2017-03)In this study a new iterative method is introduced, aims to find all roots of complex polynomials with help of Newton’s method. There are methods similar to this one, their degrees are introduced by Sutherland in 1989 ...
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