Browsing Matematik Bölümü Tez Koleksiyonu by Issue Date
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Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi
(Fen Bilimleri Enstitüsü, 201703)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 ... 
Kademeli Halkalar, Modüller ve Çokkatlılık
(Fen Bilimleri Enstitüsü, 20170414)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 ... 
DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ
(Fen Bilimleri Enstitüsü, 201708)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 ... 
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 ... 
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 ... 
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 SkolemNoether theorem that every automorphism of Mn(F) ... 
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 3manifold. In this thesis, the importance of open book decompositions in terms of contact 3manifolds will be studied by ... 
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 ... 
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 ... 
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 ... 
Helson Beurling Teoremi ve Uygulamaları
(Fen Bilimleri Enstitüsü, 2018)In thesis we treat the celebrated HelsonBeurling Theorem which charac terizes the closed subspaces of L2 which are invariant under the shift operator. We also treat the characterization of invariant subspaces of the ... 
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 ... 
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_ttu_txx∂/∂x (u_x ^(p2) u_x )+f(u)=g(x) (1) in bounded domain and the one dimensional strongly ... 
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 ... 
Alternative Digital Signature Schemes In Blockchain
(Fen Bilimleri Enstitüsü, 2019)This thesis is a study on authentication methods of Bitcoin ecosystem which is an application of blockchain. Firstly, the facilities given by Bitcoin along with its security requirements are examined from a perspective ... 
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 ... 
Almost PAry Perfect Sequences And Their Applications To Cryptography
(Fen Bilimleri Enstitüsü, 2019)In this thesis we study almost pary sequences and their autocorrelation coefficients. We first study the number L of distinct outofphase autocorrelation coefficients for an almost pary sequence of period n + s with s ... 
Ağırlıklı Projektif Uzaylardaki Parametrik Kodlar
(Fen Bilimleri Enstitüsü, 2019)In this thesis we study parametric codes defined by any subset of a weighted projective space which is parameterized by monomials. The methods and notions used to study these codes are presented in detail. This work ... 
Algebraic Structure of Generalized Splines
(Fen Bilimleri Enstitüsü, 2019)Given a fnite graph G=(V,E), a commutative ring R with unity and an edge labeling function α that assigns the ideals of R to the edges of G, the pair (G,α) is called an edge labeled graph. A vertex labeling F ⊂ R V  is ...