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dc.contributor.advisorRiener, Cordian
dc.contributor.authorSchena, Alessandro
dc.date.accessioned2022-06-22T09:57:38Z
dc.date.available2022-06-22T09:57:38Z
dc.date.issued2022-05-15en
dc.description.abstractThis thesis discusses Wachpress conjecture restricted to arrangements of three conics. Wachpress conjectured the existence of a set of barycentric coordinates, namely Wachpress coordinates, on all polycons. Barycentric coordinates are very useful in many different fields as they can be used to define a finite element approximation scheme with linear precision. This thesis focuses on the conjecture on the real projective plane. The polycons of lowest degree for which the conjecture has not been proven completely yet are those which arise from arrangements of three conics. We state the current knowledge on the veracity of the conjecture on the polycons of this family. Throughout the thesis we view real rational polycons as positive geometries which encode both differential and algebraic properties in their unique canonical form.en_US
dc.identifier.urihttps://hdl.handle.net/10037/25535
dc.language.isoengen_US
dc.publisherUiT Norges arktiske universitetno
dc.publisherUiT The Arctic University of Norwayen
dc.rights.holderCopyright 2022 The Author(s)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0en_US
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)en_US
dc.subject.courseIDMAT-3900
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414en_US
dc.titleWachpress Conjecture Restricted To Arrangements Of Three Conicsen_US
dc.typeMastergradsoppgavenor
dc.typeMaster thesiseng


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Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)