Browsing Dept. of Mathematics  Master's degree by Title
Now showing items 6180 of 119

Mackey group categories and their simple functors
(Bilkent University, 2012)Constructing the Mackey group category M using axioms which are reminiscent of fusion systems, the simple RMfunctors (the simple functors from the Rlinear extension of M to Rmodules, where R is a commutative ring) can ... 
Management skills training needs analysis of company and battalion commanders in the Turkish army
(Bilkent University, 2001)The Turkish Army like other organizations tries to keep up with the change in all areas and uses some methods of change. One of the areas is management and the method of change used by The Army is training and development ... 
A measure disintegration approach to spectral multiplicity for normal operators
(Bilkent University, 2012)In this thesis we studied the notion of direct integral Hilbert spaces, first introduced by J. von Neumann, and the closely related notion of decomposable operators, as defined in Kadison and Ringrose [1997] and Abrahamse ... 
Minimal surfaces on threedimensional Walker manifolds
(Bilkent University, 201706)Lorentzian Geometry has shown to be very useful in a wide range of studies including many diverse research elds, especially in the theory of general relativity and mathematical cosmology. A Walker manifold descends from ... 
Modular representations and monomial burnside rings
(Bilkent University, 2004)We introduce canonical induction formulae for some character rings of a finite group, some of which follows from the formula for the complex character ring constructed by Boltje. The rings we will investigate are the ... 
The MongeKantorovich mass transportation problem
(Bilkent University, 201709)The Monge mass transportation problem was stated by French Mathematician, G. Monge [6]. After that Soviet Mathematician Leonid Kantorovich [4] published a relaxed version of the problem, namely the MongeKantorovich ... 
The monomial Burnside functor
(Bilkent University, 2009)Given a finite group G, we can realize the permutation modules by the linearization map defined from the Burnside ring B(G) to the character ring of G, denoted AK(G). But not all KGmodules are permutation modules. To ... 
Monomial Gotzmann sets
(Bilkent University, 2011)A homogeneous set of monomials in a quotient of the polynomial ring S := F[x1, . . . , xn] is called Gotzmann if the size of this set grows minimally when multiplied with the variables. We note that Gotzmann sets in the ... 
Ntangle Kanenobu knots with the same Jones polynomials
(Bilkent University, 2010)It is still an open question if there exists a nontrivial knot whose Jones polynomial is trivial. One way of attacking this problem is to develop a mutation on knots which keeps the Jones polynomial unchanged yet alters ... 
Nonstationary Markov chains
(Bilkent University, 1996)In thi.s work, we studierl the Ergodicilv of NonStationary .Markov chains. We gave several e.xainples with different cases. We proved that given a sec[uence of Markov chains such that the limit of this secuence is an ... 
Numerical study of orthogonal polynomials for fractal measures
(Bilkent University, 201607)In recent years, potential theory has an essential effect on approximation theory and orthogonal polynomials. Basic concepts of the modern theory of general orthogonal polynomials are described in terms of Potential Theory. ... 
On Arf rings
(Bilkent University, 1994)In this thesis, we worked with curves which have cusp type singularities. We described the Arf theory, which solves the problem of understanding and finding the multiplicity sequence of a curve branch algebraically. We ... 
On complete intersections and connectedness
(Bilkent University, 2002)In this thesis, we study the relation between connectedness and complete intersections. We describe the concept of connectedness in codimension k. We also study the basic facts about CohenMacaulay rings, and give ... 
On Gambler's ruin problem in some models
(Bilkent University, 2005)2player probability games is an important subject of probability theory. In this thesis, we considered four different twoplayer probability games. We calculated the expected value of stopping times of the games. Since ... 
On lower bounds of character sums
(Bilkent University, 1995)111 ilii.s work wo oxlomlod llio ic.sult.s of S.A. Slc)aiiov [3], [i] about lower bouiid.s for incomplete clia.ra.cter .suiiks over a prime finite Held to the ea..se of arbitrar}^ linite field Moreover we atso a.pplied ... 
On lower degree bounds for vector invariants over finite fields
(Bilkent University, 2000)The purpose of this thesis is to obtain a lower degree bound in modular invariant theory for a special case. More precisely, let G be any group and k be a finite field of positive characteristic p such that p divides G ... 
On monomial Burnside rings
(Bilkent University, 2003)This thesis is concerned with some different aspects of the monomial Burnside rings, including an extensive, self contained introduction of the A−fibred G−sets, and the monomial Burnside rings. However, this work has two ... 
On possible deterioration of smoothness under the operation of convolution
(Bilkent University, 1996)We show that the convolution of two probability densities which are restrictions to R of entire functions can possess infinite essential supremuin on each interval. We also present several sufficient conditions of ... 
On power series with one singular point at circumference of convergence
(Bilkent University, 2002)We obtain two refinements of Faber’s theorem related to power series with one singular point at circumference of convergence. The first one characterizes growth at the singular point in more precise scale of growth. The ... 
On real Enriques surfaces
(Bilkent University, 1997)