Browsing Matematik by Title

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  • On the geometric objects of same type as christoffel symbols of Ehresmann Ë-connections 
    Abadoğlu, Ender. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1995., 1995.)
    In this thesis the higher order Ehresmann a-connections are studied as geometric objects. We prove that, any two Lie subgroups of the rth order jet group G~ which are isomorphic to G~ are conjugate. It follows from this ...
  • On the hypersurfaces in toric varieties 
    Barış, İlayda. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Theory of toric varieties provides fruitful interactions between algebraic geom etry and combinatorics. It is remarkably fertile in terms of connections with many areas of mathematics and has plentiful applications to other ...
  • On the integrability of the generalized Davey-Stewartson system 
    Çolak, İlker Evrim. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    A method developed by V. E. Zakharov and E. I. Shul'man for understanding the integrable cases of a given system of di erential equations having some certain Hamiltonian structure is represented. Then an application of ...
  • On the role of diagonalization in Gödel's incompleteness and Tarski's theorems 
    Budak, Mehmet. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    Three major theorems of arithmetics from early 1930s delineate the enterprise of formalization in mathematics: Gödel's First Incompleteness Theorem, Diagonalization Lemma and Tarski's Theorem. We begin the thesis with a ...
  • p-değerli kuvazimeromorf fonksiyonlar hakkında 
    Göktürk, Zerrin. (Thesis (Assoc. Prof.) - Boğaziçi University. Institute of Social Sciences, 1979., 1979.)
  • Path algebras 
    Adanalı, Pınar. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    In this thesis, we investigate path algebras and Leavitt path algebras. Some properties of path and Leavitt path algebras are given. Our aim is to see what conditions on the graph E makes Leavitt path algebras simple. We ...
  • Positive definite functions on spheres 
    Yılmaz, Fatma. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    Positive de nite functions play a central role in approximation theory as in many other areas of mathematical research. The methods for data interpolation on spheres can be e ectively used for analysis of large data sets ...
  • Projective characters of finite groups 
    Yılmaz, Said. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The purpose of this thesis to analyze the basic facts about projective characters of finite groups and compare them to the facts about ordinary characters of finite groups. We start with review of basic facts about the ...
  • Proof of the weinstein conjecture for overtwisted closed contact 3-manifolds 
    Sağlam, Murat. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, we study the proof of the Weinstein conjecture for 3-dimensional closed manifolds equipped with an overtwisted contact structure. The method of filling by pseudoholomorphic disks and the bubbling-off analysis ...
  • Propp-Wilson algorithm and beyond 
    Işlak, Ümit. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010., 2010.)
    Propp-Wilson algorithm is a Markov chain Monte Carlo method that produces samples that are drawn exactly from the stationary distribution of a given Markov chain. The aim of this master thesis is to unify the underlying ...
  • Pseudo-Anosov diffeomorphisms and the monodromy of an open book 
    Eden, Sinan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    In this thesis, we study the proof of the fact that any mapping class on a compact oriented surface with non-empty boundary can be made pseudo-Anosov after a sequence of positive stabilizations. In the language of contact ...
  • Quotients of Hom-functors 
    Bilgin, Zehra. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    Quotients of Hom-functors are functors of the form HomR(P;{u100000})=HomR(P;{u100000})J where P is a projective R-module and J is a certain ideal of the endomorphism ring of P. These functors were used by R. Dipper in the ...
  • Radicals of incidence algebras 
    Çanakçı, İlke. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    The incidence algebra of a locally finite partially ordered set X; with the partial ordering "≤", over a ring with identity T is defined as the set of all mappings f : X x X ---T where f(x; y) = 0 for all x; y 2 X with x ...
  • Reciprocity law of quadratic extensions 
    Tümel, Filiz. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006., 2006.)
    In the first chapter, basic definitions and results which will be used in the following chapters of this thesis are presented. In the following chapter, ideal classes and classes of quadratic forms are reviewed. Then the ...
  • Relative endo-trivial modules 
    Budak, Doğa Ulaş. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    We first develop the necessary tools from the theory of G-algebras and endomorphism rings. Then the basic results of Green's theory of vertices and sources for kG-modules is given. Building on these, we retrace the steps ...
  • Schubert varieties of Grassmannians 
    Altuğ, Kutsev Bengisu. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this endeavor, studying Grassmannians in a ne and projective space is essential. We rstly present Grassmannians as varieties then divide Grassmannians into disjoint Schubert cells and apply Plucker embedding to realize ...
  • Self - adjoint extension theory of singular interactions 
    Türköz, Mustafa. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, we study two-dimensional finite singular point interactions and three-dimensional finite singular interactions supported by curves on a compact Riemannian manifold. Our aim is to show that finite rank perturbations ...
  • Simple section biset functors 
    Muslumov, Ruslan. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Let G and H be finite groups and k be a commutative unitary ring. The Burnside group B(G,H) is the Grothendieck group of the category of finite (G,H)-bisets. The biset category kC of finite groups is the category defined ...
  • Sismik dalga hızlarının değişiminden deprem olasığının saptanması 
    Çekirge, H. Murat. (Thesis (Assoc. Prof.) - Bogazici University. Institute of Sciences and Engineering, 1979., 1979.)
  • Smoothing estimates for the periodic KdV equation 
    Kuzgun, Şefika. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    In this thesis we aim at understanding an article of M. B. Erdo gan and N. Tzirakis on the famous KdV (Korteweg-de Vries) equation, entitled \Global smoothing for the periodic KdV", which appeared in International Mathematics ...

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