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Physical Sciences and Mathematics Commons

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Applied Mathematics

University of Tennessee, Knoxville

Masters Theses

2016

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Full-Text Articles in Physical Sciences and Mathematics

Preliminary Investigation For The Development Of Surrogate Debris From Nuclear Detonations In Marine-Urban Environments, Adam G. Seybert Dec 2016

Preliminary Investigation For The Development Of Surrogate Debris From Nuclear Detonations In Marine-Urban Environments, Adam G. Seybert

Masters Theses

No nuclear weapon has ever been detonated in a United States city. However, this also means the nuclear forensic community has no actual debris from which to develop analytical methods for source attribution, making the development of surrogate nuclear debris a vital undertaking. Moreover, the development of marine-urban debris presents an unusual challenge because unlike soil and urban structures, which remain compositionally consistent, the elemental composition of harbor and port waters fluctuates considerably due to natural phenomenon and human activity. Additionally, marine vessel composition and cargo can vary dramatically. While early US nuclear tests were carried out in shallow-water coastal …


A Computational Geometric And Graph Theoretic Approach To Reducing Dimensionality On Raster Data Problems, Matthew James Robert Bachstein Aug 2016

A Computational Geometric And Graph Theoretic Approach To Reducing Dimensionality On Raster Data Problems, Matthew James Robert Bachstein

Masters Theses

Large scale mathematical models often involve a trade off between computational length and detail. In general, the more detailed the data, the more time it takes for the model to process. Models that use geographic scale data are particularly susceptible to this inflation; fine resolution data (on the order of m2 [meters squared]) brings great benefits, but demolishes the computation time. This thesis presents a method for reducing the dimensionality of large scale data in a systematic manner to maximize the benefits of fine resolution data while minimizing the computational time increase, then applying the method to a simulated invasive …