College of Science
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- Creator(s):
- Jonathan Hauenstein, Margaret Regan
- Description:
Polynomials which arise via elimination can be difficult to compute explicitly. By using a pseudo-witness set, we develop an algorithm to explicitly compute the restriction of a polynomial to a given line. The resulting polynomial can then be used to evaluate the original polynomial and directional derivatives along the line at any point on the given line. Several examples are used to demonstrate this new algorithm including examples of computing the critical points of the discriminant locu…
- Date Created:
- 2020-03-27
- Record Visibility:
- Public
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- Creator(s):
- Jonathan Hauenstein, Martin Helmer
- Description:
Alt’s problem, formulated in 1923, is to count the number of four-bar linkages whose coupler curve interpolates nine general points in the plane. This problem can be phrased as counting the number of solutions to a system of polynomial equations which was first solved numerically using homotopy continuation by Wampler, Morgan, and Sommese in 1992. Since there is still not a proof that all solutions were obtained, we consider upper bounds for Alt’s problem by counting the number of sol…
- Date Created:
- 2020-03-03
- Record Visibility:
- Public
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3
Dataset
- Creator(s):
- Jonathan Hauenstein
- Description:
Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on semi-algebraic sets use symbolic quantifier elimination tools. In this paper, we present a simple algorithm based on computing the critical points of some well-chosen function that guarantees the computation of smooth points in each connected compact component of a real (semi)-algebraic set. Our technique is intuitive …
- Date Created:
- 2020-01-18
- Record Visibility:
- Public
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4
Doctoral Dissertation
- Author:
- Weiping Gan
- Advisory Committee:
- Haifeng Gao, Bradley D. Smith, Olaf Wiest
- Degree Area:
- Chemistry and Biochemistry
- Degree:
- Doctor of Philosophy
- Record Visibility:
- Public
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5
Report
- Author(s):
- Michael Hildreth, Natalie Meyers
- Abstract:
The FAIR Hackathon Workshop for Mathematics and the Physical Sciences (MPS) February 27-28, 2019 in Alexandria, Virginia brought together forty-four stakeholders in the physical sciences community to share skills, tools and techniques to FAIRify research data. As one of the first efforts of its kind in the US, the workshop offered participants a way to engage with FAIR principles (Findable, Accessible, Interoperable and Reusable) Data and metrics in the context of a hackathon. The workshop wa…
- Date Created:
- 2020-01-05
- Record Visibility:
- Public
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6
Doctoral Dissertation
- Author:
- Meredith M. Doellman
- Advisory Committee:
- Michael Pfrender, Stewart Berlocher, Jeffrey L. Feder, Michael Ferdig
- Degree Area:
- Biological Sciences
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-09-13
- Record Visibility:
- Public
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7
Doctoral Dissertation
- Author:
- Jeremy Mann
- Advisory Committee:
- Stephan A. Stolz
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-11-18
- Record Visibility:
- Public
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8
Doctoral Dissertation
- Author:
- Cunjia Qiu
- Advisory Committee:
- Paul W. Huber, Holly V. Goodson, Francis J. Castellino, Shaun W. Lee
- Degree Area:
- Chemistry and Biochemistry
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-11-21
- Record Visibility:
- Public
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9
Doctoral Dissertation
- Author:
- Andrew J. Bechter
- Advisory Committee:
- Justin R. Crepp
- Degree Area:
- Physics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-10-07
- Record Visibility:
- Public
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10
Doctoral Dissertation
- Author:
- Morgan E. Smith
- Advisory Committee:
- Edwin Michael
- Degree Area:
- Biological Sciences
- Degree:
- Doctor of Philosophy
- Record Visibility:
- Public
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11
Doctoral Dissertation
- Author:
- Kevin Siegl
- Advisory Committee:
- Ani Aprahamian
- Degree Area:
- Physics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-11-15
- Record Visibility:
- Public
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12
Doctoral Dissertation
- Author:
- Ricardo Romero-Moreno
- Advisory Committee:
- Sharon Stack, Glen Niebur, Laurie E. Littlepage, Siyuan Zhang
- Degree Area:
- Integrated Biomedical Sciences
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2019-06-24
- Record Visibility:
- Public