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Creating The Perfect Nba Team: A Look At Per And How It Affects Wins, Gregory Hamalian
Creating The Perfect Nba Team: A Look At Per And How It Affects Wins, Gregory Hamalian
Honors Program Theses and Projects
Ever since Oakland Athletics’ general manager Billy Beane began applying analytical tools to compose a baseball team, professional sports teams have used advanced metrics to build competitive rosters. We use an exploratory data analysis strategy to find what statistics best predict team wins. Finding that the Player Efficiency Rating (PER) statistic best correlate with wins, we investigate the statistic to find its strengths and weaknesses. We look for ways to improve the statistic and adjust it to better evaluate player effectiveness. We also look for methods to best predict how the PER will change from one season to the next …
Characterizations Of Four Interval Wavelet Sets And Algorithms, Christopher Mcdonald
Characterizations Of Four Interval Wavelet Sets And Algorithms, Christopher Mcdonald
Honors Program Theses and Projects
Wavelets are mathematical tools used to represent signals such as audio files, pictures, videos, and various other types of data. The theory of wavelets has recently attracted attention in Mathematics because of potential in applications. At this point, the field of wavelet theory is fairly mature, and the literature contains a body of techniques which are exploited to design wavelets. One of these techniques relies on the construction of wavelet sets. A wavelet set is a set whose successive translations and dilations partition a line. In practice, wavelet sets are tricky to construct. In fact, there is no known classification …
(Knight)3: A Graphical Perspective Of The Knight's Tour On A Multi-Layered Chess Board, Frederick Scott Neilan
(Knight)3: A Graphical Perspective Of The Knight's Tour On A Multi-Layered Chess Board, Frederick Scott Neilan
Honors Program Theses and Projects
The Knight’s Tour is an interesting question related to the game of chess. In chess, the Knight must move two squares in one direction (forward, backward, left, right) followed by one square in a perpendicular direction. The question of the Knight’s Tour follows: Does there exist a tour for the Knight that encompasses every single square on the chess board without revisiting any squares? The existence of Knight’s Tours has been proven for the standard 8x8 chess board. Furthermore, the Knight’s Tour can also exist on boards with different sizes and shapes. There has been a lot of research into …
Modeling Consequences Of Reduced Vaccination Levels On The Spread Of Measles, Guillermo Ortiz
Modeling Consequences Of Reduced Vaccination Levels On The Spread Of Measles, Guillermo Ortiz
Honors Program Theses and Projects
Introduction: In this thesis we propose a mathematical model for the spread of measles in a closed population. In section 1 we offer a motivation for the project, describe the measles virus as well as its history in the U.S., and provide a brief summary of three epidemiological models from the literature. In section 2.1 we introduce some probabilistic tools used in our model. Section 2.2.1 outlines our stochastic model used for the spread of measles in a population, which is refined in section 2.2.2 to include health interventions from the CDC. We conclude the thesis by presenting in section …