• Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi 

      Yüceer, Abdüsselam (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 ...
    • Kademeli Halkalar, Modüller ve Çokkatlılık 

      Acar, Damla (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 ...
    • DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ 

      Kayıkçı, Burcu (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 ...
    • Simitli Bir Çeşitlemin Genişlemeleri Üzerinde Hesaplama Kodları 

      Yakut, Yeliz (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 ...
    • Sıralı Banach Uzayları Üzerinde Tanımlı Homojen Markov Zincirlerinin Cesaro Ortalamalarının Pertürbasyon Sınırları 

      Özbay, Fatma (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 ...
    • Open Book Decompositions and Contact Surgeries 

      Yıldırım, Yasemin (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 ...
    • A Study On Direct Summand Submodules Over Noncommutative Rings 

      Altun Özarslan , Meltem (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 ...
    • Derivations and Automorphisms of Certain Subrings of Matrix Rings 

      Sayın, Umut (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) ...
    • Torus Knots and Contact Surgeries 

      Saraç, İrem Özge (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 ...
    • Lineer Olmayan Kısmi Diferansiyel Denklemlerin Backlund Dönüşümleri 

      Kar, Nurdan (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 ...
    • Diçatılara Genelleştirilmiş Bazı Topolojik Kavramlar 

      Korkmaz, Esra (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 ...
    • Hareket Veri Tabanlarında Fizik Tabanlı Benzerlik Arama 

      İlhan, Hacer (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 

      Şen, Zehra (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 ...
    • Some Families of Combinatorial Matrices and Their Algebraic Properties 

      Arıkan, Talha (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 ...
    • Ağırlıklı Projektif Uzaylardaki Parametrik Kodlar 

      Çakıroğlu, Yağmur (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 ...
    • Almost P-Ary Perfect Sequences And Their Applications To Cryptography 

      Özden, Büşra (Fen Bilimleri Enstitüsü, 2019)
      In this thesis we study almost p-ary sequences and their autocorrelation coefficients. We first study the number L of distinct out-of-phase autocorrelation coefficients for an almost p-ary sequence of period n + s with s ...
    • Alternative Digital Signature Schemes In Blockchain 

      Yavuzyiğit , Fahrettin (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 

      Hezenci, Fatih (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 ...
    • Algebraic Structure of Generalized Splines 

      Sarıoğlan, Samet (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 ...
    • Bazı Seçme Özelliklerinin Zayıf ve Göreceli Formları 

      Eysen , Ali Emre (Fen Bilimleri Enstitüsü, 2019-06-24)
      The aim of this thesis is to introduce the weak forms of some classical selection properties in bitopological spaces, investigate the relationships between them and characterize these properties with topological games. ...