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dc.contributor.authorMcGonagle, Annmarie
dc.date.accessioned2018-04-11T18:22:24Z
dc.date.accessioned2020-07-22T15:26:15Z
dc.date.available2018-04-11T18:22:24Z
dc.date.available2020-07-22T15:26:15Z
dc.date.issued2011
dc.identifier.urihttp://hdl.handle.net/20.500.12648/1272
dc.descriptionPublished in SUNY Plattsburgh's Scientia Discipulorum Journal of Undergraduate Research. Volume 5, issue 1, pages 34-44. 2011.
dc.description.abstractLester Ford introduced Ford circles in 1938 in order to geometrically understand the approximation of an irrational number by rational numbers. We shall construct Ford circles by a recursive geometric procedure. The Ford circles also turn out to be parameterized by the rational numbers. We introduce a new parameterization of the set of Ford circles in terms of triples of relatively prime integers that satisfy a certain equation. This is interesting because we have developed a better approximation for irrational numbers between 0 and 1 and because our new parameterization generalizes to a higher dimension.
dc.language.isoen_US
dc.publisherScientia Discipulorum: SUNY Plattsburgh
dc.subjectFord circle
dc.subjectDiophantine approximation
dc.titleA New Parameterization for Ford Circles
dc.typeArticle
refterms.dateFOA2020-07-22T15:38:13Z
dc.description.institutionSUNY Plattsburgh
dc.description.contributorAnnmarie McGonagle, Student, Department of Mathematics at SUNY Plattsburgh


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