1
15
2
-
https://d1y502jg6fpugt.cloudfront.net/17269/archive/files/9fb17aedd22269cd389abdfb0e213f07.pdf?Expires=1712793600&Signature=rP1Cx5VzRpJBesXb7D0xExzSg0nc3mGEcmMjdWuqZWzFRAHO53TA-UOU2M9gEGvEtaMzfsa8dsQ-ylpk%7EClt-nr4KioWehYL1ZJJh3Ejd6pvDjr011aLrtoxfJBCpzyDAiEEj3c9bzPTNYTFFIEQTS0njwMvCUUViqqxr0xrEpT1RT33gttMs%7Eu2w%7EcEvUKIBmaRdMr1aepajNXiqDrT80e9VDmxG6-5pGdh77sYhaP%7EencyL0wjsbiqKxzRYzAO5ZUELcCOHeWg8fpCr6BQ9AKRIPm4q5iTWKyXM0bvUhWE%7Eq%7E%7EBcXnLx8Chc5d5zuEbVpvUmLCRbInGz08XvjH%7EQ__&Key-Pair-Id=K6UGZS9ZTDSZM
83717b9f3ee21510975fdf0d95f3e494
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Senior Showcase 2017
Description
An account of the resource
Oral and poster presentations from Senior Showcase held on April 18, 2017 at Ripon College.
Publisher
An entity responsible for making the resource available
Ripon College Lane Library
Contributor
An entity responsible for making contributions to the resource
Ripon College Seniors 2017
Text
A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text.
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Go With the Flow: Classifying the Asymptotic Behaviors of Semidiscrete Curve-Shortening Flows by Mitchell Eithun
Subject
The topic of the resource
Mathematics
Creator
An entity primarily responsible for making the resource
Mitchell Eithun
Source
A related resource from which the described resource is derived
Senior Showcase Oral Presentation
Publisher
An entity responsible for making the resource available
Ripon College
Date
A point or period of time associated with an event in the lifecycle of the resource
April 18, 2017
Rights
Information about rights held in and over the resource
The author reserves all rights.
Identifier
An unambiguous reference to the resource within a given context
Majors: Mathematics and Computer Science
Minor: Music
New London, Wisconsin
Description
An account of the resource
A semidiscrete curve-shortening flow continuously deforms a polygon in the direction of an inward normal until it shrinks to a point. We are interested in the long-time behavior of polygons under such flows. Is there a semidiscrete flow under which all polygons become asymptotically regular? This is an open question, but we provide numerical evidence to suggest that the recent β-polygon flow of Glickenstein and Liang produces regular polygons. It is known that triangles become regular under the β-polygon flow. Using a rescaled flow in which a regular polygon is a fixed point, we note how side lengths and angles evolve under the β-polygon flow and conjecture that all quadrilaterals become rhombic and polygons with more than 5 vertices become regular.
circulant matrices
curve-shortening
Discrete Differential Geometry
Euler’s Method
Mathematics
rescaled geometric flows
-
https://d1y502jg6fpugt.cloudfront.net/17269/archive/files/4db293db8061ff9f761e38af71cb89c4.pdf?Expires=1712793600&Signature=cf6GIbnwE7yYX6EmlFQYVR-wQdvqq4XHZeHo0kP7y90ngsALqwLec0YfvEycPx9GLNbs66jSwfa01DaaV14B9A9NRfVPekn7CT5hYVfjhtLwArcOeYq9UpzMgPyhLwnw4L2mfoOnZmdTmOlEUGgWGBOkLSXzMxvDz8O8QgMU4l077W56tFK4HmViL90jndmiwEd-beirewm7v3dp8n3PjTGCrRvnla8sa7lpj-1HjiHvGoTWq-KTMs85NxXCxmZqX2kfr-rkeg0BUWgtkV13-I8lFJ-NLmqDvy3YwaO4YSBODzkK5yOmKxAeBw%7EKKJ166gm4bcMZQKWZ4rNe3Zqmwg__&Key-Pair-Id=K6UGZS9ZTDSZM
e44c8016e9a4b5e19e90ea8e3692a31a
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Senior Showcase 2017
Description
An account of the resource
Oral and poster presentations from Senior Showcase held on April 18, 2017 at Ripon College.
Publisher
An entity responsible for making the resource available
Ripon College Lane Library
Contributor
An entity responsible for making contributions to the resource
Ripon College Seniors 2017
Text
A resource consisting primarily of words for reading. Examples include books, letters, dissertations, poems, newspapers, articles, archives of mailing lists. Note that facsimiles or images of texts are still of the genre Text.
Dublin Core
The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.
Title
A name given to the resource
Pondering Polyhelical Proteins: Mathematically Modeling Helical Repeat Proteins by Lincoln Wurtz
Subject
The topic of the resource
Mathematics
Creator
An entity primarily responsible for making the resource
Lincoln Wurtz
Source
A related resource from which the described resource is derived
Senior Showcase Oral Presentation
Publisher
An entity responsible for making the resource available
Ripon College
Date
A point or period of time associated with an event in the lifecycle of the resource
April 18, 2017
Rights
Information about rights held in and over the resource
The author reserves all rights.
Identifier
An unambiguous reference to the resource within a given context
Majors: Mathematics and Chemistry-Biology
Description
An account of the resource
Proteins are the most abundant biological macromolecules and, based on their
three-dimensional shape, perform life-sustaining functions. The process by which a
protein assumes its folded shape remains an open question and has intrigued biologist and chemists for decades. Mathematicians have joined forces with the natural scientists and brought with them the tools of differential geometry, which prove powerful for modeling proteins. We explore the method of [3] to model a small subset of proteins using polyhelical space curves. We successfully modeled three alpha-helical repeat proteins. The developed model has demonstrated possible uses in predicting theoretical tertiary structures of proteins given a set of secondary structures--a step in the right direction of solving the protein folding problem. Additionally, we provide insight into the relationship between clashes and the model's stability calculator, which may improve the viability of their model.
Chemistry-Biology
differential geometry
Mathematics
Protein