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Title:Parabolas infiltrating the Ford circles
Author(s):Hutchinson, Suzanne C
Advisor(s):Zaharescu, Alexandru
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(s):none
Abstract:After briefly discussing classical results of Farey fractions and Ford circles, we define and study a new family of parabolas in connection with Ford circles and discover some interesting properties that they have. Using these properties, we provide an application of such a family.
Issue Date:2015-05-28
Type:Thesis
URI:http://hdl.handle.net/2142/87952
Rights Information:Copyright 2015 Suzanne Hutchinson
Date Available in IDEALS:2015-09-29
Date Deposited:August 201


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