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Fixed Points and Periodic Points of Orientation Reversing Planar Homeomorphisms
(2010-07-20)
Topological dynamics on surfaces is studied. The primary objects of study are orientation reversing homeomorphisms of the plane, but most of the results apply also to the orientation reversing homeomorphisms of the 2-sphere. ...
Nonparametric Methods for Classification and Related Feature Selection Procedures
(2011-07-18)
One important application of gene expression microarray data is
classification of samples into categories, such as types of tumor.
Gene selection procedures become crucial since gene expression
data from DNA microarrays ...
Efficient Rank Regression with Wavelet Estimated Scores
(2011-07-07)
Wavelets have been widely used lately in many areas such as physics, astronomy, biological
sciences and recently to statistics. The main goal of this dissertation is to provide
a new contribution to an important problem ...
Gradient Flows, Convexity, and Adjoint Orbits
(2012-06-19)
This dissertation studies some matrix results and gives their Generalizations in the context of semisimple Lie groups. The adjoint orbit is the primary object in our study.
The dissertation consists of four chapters. ...
Cycle Systems
(2012-01-18)
In this dissertation the author has found the necessary and sufficient conditions for obtaining a 6-cycle system of the Cartesian product of two complete graphs covering 2-paths in the corresponding bipartite graph. She ...
A Robust Version of Hotelling's T2 Control Chart for Retrospective Location Analysis of Individuals Using BACON Estimators
(2012-02-13)
Hotelling's T2 chart is commonly used for Phase I analysis of individual multivariate normally distributed data. However, the presence of only a few outliers can significantly distort classical estimates of location and ...
Simple Techniques for Detecting Decomposability or Indecomposability of Generalized Inverse Limits
(2012-05-01)
A continuum X is said to be decomposable if it can be written as a union of two proper subcontinua; otherwise, X is said to be indecomposable. For years, topologists have used inverse limits with continuous bonding functions ...
An Implementation of the Finite Element Method for the Velocity-Current Magnetohydrodynamics Equations
(2014-05-15)
The aim of this research is to extend the numerical results in [78] of a velocity-current
magnetohydrodynamics formulation proposed by A.J. Meir and Paul G. Schmidt in [74]
for a stationary flow that models a conductive ...
Efficient Numerical Algorithms for Solving Nonlinear Filtering Problems
(2014-06-18)
Examples of nonlinear filtering problems arise in biology, mathematical finance, signal processing, image processing, target tracking and many engineering applications. Commonly used numerical simulation methods are the ...
Linear Topological Spaces
(2014-04-25)
In this thesis several topics from Topology, Linear Algebra, and Real Analysis are combined in the study of linear topological spaces. We begin with a brief look at linear spaces before moving on to study some basic ...