Senior Theses 20182019
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Infinite Snowman
(20190517)In this research paper we explore how to create an infinite snowman within an isosceles triangle to find the sum of its total area. Our main objective was to find the sum of the areas of the circles inscribed within the ... 
Minimizing Transpositions in Permutations with Indistinct Variables
(20190517)In any permutation within a symmetric group, the minimum number of transpositions required to return the permutation to the identity can be algorithmically determined. In fact, this algorithm determines this required number ... 
Mathematically Modeling the Josephson Junction
(20190517)Josephson junctions are widely used in applications where a very precise voltage source is required, one example being metrology, where they are used to help define the values of several fundamental constants of nature. ... 
ReactionDiffusion Equations and Biochemical Pattern Formation
(20190517)Many biochemical reactions can be modeled using reactiondiffusion equations, some of which form patterns. Reactiondiffusion equations are partial differential equations that describe how the concentrations of two species ...