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We utilize the setting of Universal Algebra to introduce a new class of objects called logics, with the aim of generalizing the structure of familiar binary logic to a fa [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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This study examined the behavior of a bullying epidemic on different social network structures using ideas from network theory, graph theory, and stochastic epidemic mode [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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In this paper, we describe a method for computing the dimension of linear systems on a graph, which are related to linear systems of divisors on tropical curves. Tropical [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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This paper details the design and implementation of my web-application, "Globehub". The application was made with the intention of being a comprehensive, visual aid for [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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Persistent data structures allow large and complex data structures to be copied and manipulated inexpensively. The persistent way of representing data offers opportunitie [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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Topological Data Analysis (TDA) is a growing field in applied mathematics. TDA encompasses a wide variety of topological methods which can be applied to the problem of an [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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This thesis discusses the context and an overview of modern public key cryptography. RSA encryption, the most common modern cryptosystem, relies on the difficulty of the [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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This paper will undertake an investigation into attitudes towards mathematics. Data from $27$ Denver Public High Schools reports that all students in the DPS high schools [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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This paper examines the propagation of rumors over various social network structures. We create two modified compartmental SIR models by bridging concepts from graph theo [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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We investigate thread-level concurrency in several common desktop applications. We find that the majority of active periods (periods of uninterrupted CPU activity for a s [...]
05/2016 |
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Mathematics and Computer Science Department Student Theses 2015-16 |
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