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| Creator | Title | Description | Subject | Date | ||
|---|---|---|---|---|---|---|
| 1 |
 | Ellingson, Drew | Bitangent lines to planar quartic curves in algebraic and tropical geometry | Bitangents are lines which are tangent to a curve at two points. The bitangents of a classical quartic are well understood, and a result originally due to Cayley tells us that there are always precisely 28 bitangents to a generic quartic plane curve. When looking at Tropical Geometry, the situation ... | Tropical geometry; curves, quartic; curves, algebraic; bitangents | 2015-04 |
| 2 |
 | Turner, Jackson | Expansion method for eigenvalue problems: theories, algorithms, and applications | The Laplacian operator plays a ubiquitous role in the differential equations that describe many physical systems. These include, for example, vibrating membranes, fluid flow, heat flow, and solutions to the Schrödinger equation. In this paper, we investigate a method to find the eigenfunctions of t... | example; computation | 2021 |
| 3 |
 | Colter, Zane | An invitation to quaternions before complex numbers | Quaternions are often introduced as an extension of the complex numbers, but this choice is arbitrary. This thesis explores the world of quaternions, H, and their application without the language or context of complex numbers. This choice has the benefit of preventing intuitions that work in C from ... | 2024 | |
| 4 |
 | Wang, Wenyi | Imaging in a homogeneous aluminum plate by using ultrasonic waves | This project is about detecting and imaging damage (such as cracks) in a plate by using ultrasonic waves. The waves are generated by a source (an ultrasonic transducer) that is part of a robot that can move on the plate. The waves traveling in the plate are recorded at a receiver (another ultrasonic... | Ultrasonic transducer - Mathematics; Kirchoff migration - Research | 2014-12 |
| 5 |
 | Stucki, Alexis | Exploring graph theory: algorithms and modern applications | Algorithmic graph theory provides an interface between applied mathematics and computer science, with widespread applications that can be found throughout the sciences as well as in real-world systems and technologies. It concerns the study of relationships between objects, representing them with ve... | relationships | 2024 |
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