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Mathematically Modeling the Josephson Junction

Fiege, Nathan (2019-05-17)

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. ...

Reaction-Diffusion Equations and Biochemical Pattern Formation

Bresnahan, Brady (2019-05-17)

Many biochemical reactions can be modeled using reaction-diffusion equations, some of which form patterns. Reaction-diffusion equations are partial differential equations that describe how the concentrations of two species ...

The Fair Mathematics of Fair Isle Knitting: A Study of Knitting Patterns

Sifuentes, Aly (2018-05-17)

Fair Isle knitting is a unique knitting style that follows a set of general rules. These rules include its use of only two colors within a knit row, its simple color changes, its repeats in pattern structure, and its ...

Analysis and Manipulation of the Kruskal Card Trick

Schrei, Danielle (2018-05-17)

In the Kruskal card trick, an audience member has a full suit of cards, ordered ace to King, and the magician has the rest of the deck. The audience member then picks out a card from the magician’s deck of his or her ...

Has Polarization in the Senate Grown?

Morris, Nathan (2018-05-17)

There is reporting far and wide on all sides of the political spectrum that there is a rise in polarization in the nation and our politicians. The study by Andris et. al. proved this for the House of Representatives. ...

The Optimal Path through the Crowd

Hobbs, Ethan (2018-05-17)

Have you ever arrived late at a concert and not been able to get a good view? Had the crowd already formed and there looked to be no good way to the front? Using collective motion models, we seek the optimal path to ...

How Important is Putting the Ball in Play in Baseball?

Hernandez, Marcelo (2018-05-20)

Baseball is a game in which the goal is to score more runs than your opponent. However, with the 2017 Major League Baseball season breaking home run and strikeout records, does putting the ball in play make a difference? ...

Apportionment the 2016 Election

Bucolt, Ashley (2018-05-17)

The 2016 election between Hillary Clinton and Donald Trump was one of five cases where the winner of the popular vote was not the winner of the election. In this project, we examine the 2016 election to determine the ...