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 General Seminars of 
 Department of Mathematics 
 General Seminars of 
 Department of Mathematics 


Announcements

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This site is to announce General Seminars of our department in this academic year. Below is a list of speakers in reverse chronological order. Our seminars are open to anyone interested to listen and/or give a talk. If you need any assistance, please get in touch with the organizer.



  • April 25, 2012
    • Poster: As a pdf document.
    • Speaker: Saber N. Elaydi (Trinity University, USA)
    • Title: Discrete Dynamical Systems II
    • Place: M307
    • Time: 16:30-17:30
    • Abstract:
      This talk analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that determine the local and global stability of discrete dynamical systems in the elementary context of a one dimensional, first-order, autonomous, systems. These propositions are subsequently generalized to account for stability analysis in a multi-dimensional, higher-order, non-autonomous, nonlinear, dynamical systems.
  • April 18, 2012
    • Poster: As a pdf document.
    • Speaker: Saber N. Elaydi (Trinity University, USA)
    • Title: Discrete Dynamical Systems I
    • Place: M307
    • Time: 16:30-17:30
    • Abstract:
      This talk analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that determine the local and global stability of discrete dynamical systems in the elementary context of a one dimensional, first-order, autonomous, systems. These propositions are subsequently generalized to account for stability analysis in a multi-dimensional, higher-order, non-autonomous, nonlinear, dynamical systems.
  • April 12, 2012
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: G.Yazgı Tütüncü
    • Title: Quantitative Methods in Health Care Service Management
    • Place: M302
    • Time: 15:30-16:30
    • Abstract:
      Health Care Management is the implementation of local, regional and national health policy and affects a variety of health care organisations. Management of health care establishments requires reasoned inquiry and judgement. Therefore, in health care management, proven scientific methods must be used drawn from such disciplines as: management science, statistics, and operations management and information systems. In this talk, some quantitative methods and their applications in Health Care service Management will be presented.
  • March 28, 2012
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Baruch Schneider
    • Title: Some Remarks About Cauchy Type Integrals - The Quaternionic Analysis Approach
    • Place: M309
    • Time: 16:30-17:30
    • Abstract:
      The aims of the talk are:

      1. To present a survey of basic results on the continuous boundary behavior of Cauchy type integrals in domains in the complex plane.

      2. To describe the ideas of a non-smooth formalism for Cauchy type integrals in the framework of Quaternionic Analysis.
  • March 14, 2012
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Aslı Güldürdek
    • Title: Continuously Urysohn Spaces
    • Place: M405
    • Time: 16:30-17:30
    • Abstract:
      In this work some properties of (weakly) continuously Urysohn spaces are examined. Note that a space is called continuously Urysohn (cU) if there exists a continuous function φ:X2ΔC(X) such that φ(x,y)(x)(x,y)(y), where C(X) is the space of all bounded real functions on X endowed with the norm topology. Also a space is said to be weakly continuously Urysohn (wcU) if there is a continuous function θ:(X2Δ)×XR such that θ(x,y,x)θ(x,y,y). It is shown that "being a cU space" is a property which is not preserved in the product spaces, and the perfect images of cU spaces are not always cU. We also show that protometrizable spaces are cU.
  • March 5, 2012
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Sevin Gümgüm
    • Title: Natural convection flow of micropolar fluids in a square cavity by DRBEM
    • Place: M302
    • Time: 15:30-16:20
    • Abstract:
      The main purpose of this study is to present the use of the Dual Reciprocity Boundary Element Method (DRBEM) in the analysis of the unsteady natural convection flow of micropolar fluids in a differentially heated square cavity. For the resulting system of ordinary differential equations in time, the finite difference method (FDM) is made use of. The results are reported for the configuration in which the cavity is heated from the vertical walls while the horizontal walls are insulated. Solutions are obtained for several values of microstructure parameter and Rayleigh number (Ra). The heat transfer rate (average Nusselt number) of micropolar fluids is found to be smaller than that of the Newtonian fluid. Numerical results are given in terms of streamlines, isotherms, vorticity contours as well as a table containing Nusselt number values for several Ra.
  • February 6, 2012
    • Poster: As a document (pdf) or as a poster (jpg) file.
    • Speaker: Ceki Franko
    • Title: Theory of Elementary Landscapes
    • Place: M301
    • Time: 13:30-14:20
    • Abstract:
      In this talk the theory of elementary landscapes is discussed. Some important properties, types of elementary landscapes and their areas of usage in some combinatorial optimization problems are presented. Finally an example is given and further work that can be made in this area is discussed.
  • December 23, 2011
    • Poster: As a document (pdf) or as a poster (jpg) file.
    • Speaker: Güvenç Arslan
    • Title: Choquet-Deny Theorem and Some Characterizations
    • Place: M302
    • Time: 16:30-17:30
    • Abstract:
      In this talk the the Choquet-Deny Theorem and its application to some characterization problems is discussed. After a brief introduction to characterization results in general, some special types of characterizations, which are related to products of ordered random variables, are presented.
  • December 9, 2011
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Burak Ordin (Ege University)
    • Title: Nonsmooth optimization algorithm for data clustering large data sets
    • Place: M302
    • Time: 16:30-17:30
    • Abstract:
      The cluster analysis deals with the problems of organization of a collection of patterns into clusters based on similarity. It is also known as the unsupervised classification of patterns and has found many applications in different areas. Clustering problem can be formulated as a global optimization problem which is challenging for all conventional global optimization techniques even in medium size datasets. Therefore different heuristics were developed to solve this problem. The global k-means and modifed global k-means are such heuristics. Both these heuristics build clusters incrementally and their most important part is the computation of initial solutions. Incremental nature of these algorithms and special procedures for finding initial solutions allow them to find global or near global solutions to clustering problems.

      In this talk, it will be presented the mathematical models of clustering problem and the recent approaches for solving of the clustering problem.
  • November 25, 2011
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Erdal Karapınar (Atılım University)
    • Title: An application of fixed point theory in Domain Theory
    • Place: M302
    • Time: 16:30-17:30
    • Abstract:
      In this talk, following a brief historical development of the fixed point theory, the recent approaches in this theory will be presented. The main aim of this talk is to convey the recent results and their applications.
  • October 21, 2011
    • Poster: As a document (pdf) or as a poster (png) file.
    • Speaker: Serkan Eryılmaz (Atılım University)
    • Title: Reliability Engineering: From Conventional Problems to New Challenges
    • Place: M302
    • Time: 16:30-17:30
    • Abstract:
      Reliability engineering perform a wide variety of special management and engineering tasks such as optimal system design and development of appropriate quality control procedures. In this talk, some considerations are shared with respect to a number of problems and challenges in reliability engineering. The issues include the reliability evaluation of binary and multi-state systems from both static and dynamic perspectives and various reliability optimization problems.

Previous Seminars: