Browsing Matematik by Title

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  • The question of model companionability : positive and negative answers 
    Berksoy, Feyza Nur. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Model companion ofa universal theory T is the axiomatization of the existentially closed models of T. This thesis studies the concept of model companionability of theories. We present examples of model companions of certain ...
  • Theory of generating functions and their applications 
    Bağrıaçık, A. İlker. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1999., 1999.)
    The generating functions are important instruments for solving the enumerative problems in combinatorial analysis and in number theory. Enumerative problems arise when we need to be explicit about the number of ways of ...
  • Theory of noncommutative motives 
    Üze, Berkan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The theory of motives was originally conceived by Alexander Grothendieck as a universal cohomology theory for algebraic varieties. In the decades since it was first introduced, it has become a vast and profoundly sophisticated ...
  • Topologies on families of closed subsets 
    Karan, Alperen. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In 1914, Felix Hausdor introduced a metric, called the Hausdor metric on the set of closed subspaces, Hausdor space, of a metric space. This metric and the corresponding topology are the main objects of the study. In ...
  • Traces of operators with integrable kernels 
    Başakoğlu, Engin. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Trace class operators are compact operators whose singular values are absolutely summable. C. Brislawn proved in [1] and [2] that a trace formula for trace class operator on L2(X) is determined by it's corresponding kernel ...
  • Variational methods for nonlinear elliptic partial differential equations with nonlocal terms 
    Topaloğlu, İhsan Ata. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007., 2007.)
    In this thesis, existence of standing waves for the DaveyStewartson (DS) and generalized DaveyStewartson (GDS) systems are established using variational methods. Since both the DS system and the GDS system reduce to a ...
  • Vertical distribution problems in Zeta-Function theory 
    Karabulut, Yunus. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    In this thesis, we focus on the vertical distribution problems of the zeros of the Riemann zeta-function and other related functions. In the rst half of our study we modify Montgomery's argument [1] in such a way that we ...
  • Zeros of orthogonal polinomials and universality limits 
    Çamlıyurt, Güher. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    It has been discovered that "old style" techniques from orthogonal polynomials have been very useful in establishing universality results for quite general measures. The main goal of this master thesis is to present some ...

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