{"id":{"repo_id":"duquesne","oai_identifier":"oai:dsc.duq.edu:etd-2398"},"canonical_url":"https://search.dev.ndltd.org/etd/duquesne/oai:dsc.duq.edu:etd-2398","repository":{"repo_id":"duquesne","name":"Duquesne","base_url":"https://dsc.duq.edu/do/oai/"},"display":{"title":"Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot","abstract":"This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way.","abstract_html":"This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way.","abstract_has_math":false,"creators":["Worthington, Joseph"],"institution":null,"degree_name":"MS","degree_level":"Immediate Access","degree_discipline":"Computational Mathematics","degree_department":null,"school":null,"contributors":["Eric Rawdon","Kathleen Taylor","Stacey Levine"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2005,"date_issued":"2005-01-01T08:00:00Z","date_published":"2005-01-01T08:00:00Z","updated_at":"2026-07-24T02:10:43Z","subjects":["Energy Functions","Knot Energies","Knot Theory","Topology"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dsc.duq.edu/etd/1382","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Eric Rawdon","Kathleen Taylor","Stacey Levine"]},{"key":"dc:creator","label":"Author","values":["Worthington, Joseph"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computational Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Immediate Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Energy Functions","Knot Energies","Knot Theory","Topology"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dsc.duq.edu/etd/1382"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way."]},{"key":"dc:title","label":"Title","values":["Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot"]}]}],"canonical_facts":{"dc:contributor":["Eric Rawdon","Kathleen Taylor","Stacey Levine"],"dc:creator":["Worthington, Joseph"],"dc:date.available":["2018-08-03T07:00:00Z"],"dc:description.abstract":["This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way."],"dc:identifier":["https://dsc.duq.edu/etd/1382"],"dc:language":["English"],"dc:subject":["Energy Functions","Knot Energies","Knot Theory","Topology"],"dc:title":["Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot"],"thesis:degree_discipline":["Computational Mathematics"],"thesis:degree_level":["Immediate Access"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T02:10:43Z"}