Honors Theses Open Access
 
Filters: Department: "Mathematics" Collection: "ir_htoa"
1 - 25 of 11
Number of results to display per page
CreatorTitleDescriptionSubjectDate
1 Verhaaren, MollyDouble-checking: a statistical analysis of twenty-first century U.S. election recountsElection recounts are an integral part of voting history in the United States. Initiated by the political jurisdiction or by the candidate, they have the power to overturn previously decided election results and have done so on more than one occasion. However, that power may not be worth its price a...2021
2 Kroll, TylerNumerical floating-point code: precision-independence, base-independence, and other programming considerationsThe knowledge and skills of the floating-point-literate mathematician are seldom lauded, though central to the art of translating the world of mathematics into the language of computers. This thesis highlights the importance of floatingpoint literacy through various high-utility techniques relevant ...2020
3 Zheng, KennethDyck Paths and Random TreesWe give an expository survey of random trees, focusing on the interplay between plane trees and Dyck paths. The material explained here summarizes what can be found in Aldous [1], Le Gall [10], and Drmota [6]. The bijection between plane trees and Dyck paths serves as motivation for the connection b...2017
4 Youatt, Catherine C.Mathematics in Visual Art and BalletCultures all over the globe utilize both mathematics and ballet to understand the world and to express their distinct realities. In this way, mathematics and art interact, both with math creating new visual art fields, like fractal artworks, and with art influencing mathematics, as with Renaissance ...2019
5 Tse, JustinThe Linear Algebra of the Last Passage Percolation ModelWe study the linear algebra of the last passage percolation model. In this model, we want to find the statistics of maximal paths through a randomly weighted grid. Specifically we focus on bases of the set of path lengths made from paths. The maximum path length is a deterministic function of a much...2017
6 Thomas, J PaytonStability of genetic oscillators with distributed delayed feedbackGenetic oscillators govern periodic phenomena in biology including circadian rhythms and are also the basis of biological clocks used in the design of synthetic genetic circuits. Models of genetic oscillators tend to neglect biological detail, however, because biological systems tend to be too compl...2023
7 Baker, JustinDesigned Swarming Behavior Using Optimal Transportation NewworksModels of swarming behavior aid in disaster planning, direct the actions of ware- house robots, and can map the foraging characteristics of insects. These mod- els use the optimal behavior of individual agents to determine the behavior of the larger population. Optimal transportation is one such mod...2019
8 Halberg, CharlesOn causality in machine learningAlthough the studies of causal inference and machine learning arose independently, there are emerging intersections which are proving fruitful for both fields. One of the major modern challenges in AI is to develop robust, generalizable models which can perform across a number of different tasks wit...Developing; suggests; generalizable2022
9 Bowen, BradyFractal geometry of melt ponds: Modeling the fractal geometry of arctic melt ponds using the level sets of random surfacesDuring the late spring, most of the Arctic Ocean is covered by sea ice with a layer of snow on top. As the snow and sea ice begin to melt, water collects on the surface to form melt ponds. As melting progresses, sparse, disconnected ponds coalesce to form complex, self-similar structures which are c...Melt pond geometry2016-04
10 Fischer, PaulHigh-Performance Computing Performance Metric AnalysisAt present, a signi#12;cant amount of ongoing scienti#12;c research relies on computational models. High-performance computing (HPC) resources are often required to obtain results in a reasonable amount of time. However, as physical and practical limitations constrain the performance progression of ...2019
11 Tang, AnnaMathematical model of drug resistance in ER+ breast Cancer: the role of the microenvironmentOne of the main obstacles to treating cancer is its ability to evolve and resist treatment. In this project, we are primarily interested mathematically modeling how the cancer microenvironment interacts with cancer cells and affects cancer's response to therapy. We aim to develop the mathematical mo...2023
1 - 25 of 11