Browsing Dissertations and Theses by Author "Ratcliff, Gail Dawn Loraine"
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Markov Chains, Random Walks, and Card Shuffling
Outlaw, Nolan (East Carolina University, 2016)A common question in the study of random processes pertains to card shuffling. Whether or not a deck of cards is random can have huge implications on any game being played with those particular cards. This thesis explores ... -
Mathematical Aspects of Image Processing
Kirk, Samantha (East Carolina University, 2014)In this thesis, image processing is explored from a mathematical point of view. After defining a digitized image, techniques for adjusting resolution are discussed. Image transformations defined on a neighborhood centered ... -
Mathematical Techniques for the Analysis of Partial Differential Equations
Tran, Kevin K (East Carolina University, 2018-04-25)This thesis explores various solution methods for partial differential equations. The heat equation, wave equation and Laplace equation are analyzed using techniques from functional analysis, Fourier series, and Fourier ... -
The Spectral Theorem for Self-Adjoint Operators
Chilcoat, Kenneth (East Carolina University, 2016-04-25)The Spectral Theorem for Self-Adjoint Operators allows one to define what it means to evaluate a function on the operator for a large class of functions defined on the spectrum of the operator. This is done by developing ...