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Physical Sciences and Mathematics Commons™
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Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
The Effects Of The Melting Arctic Ice Cap On Florida's Coast, Anthony Atkinson, Nicholas Joseph, Louw Scheepers
The Effects Of The Melting Arctic Ice Cap On Florida's Coast, Anthony Atkinson, Nicholas Joseph, Louw Scheepers
CLAS: Colby Liberal Arts Symposium
We've set out to determine the effect of arctic ice melt on the coastline of Florida, more specifically its major cities and tourist attractions. To do this, we created multiple mathematical models on different bases to ensure that our models are behaving in an appropriate manner. We constructed one statistical model based on past sea level rise data, and one theoretical model based on our interpretations of different components that add to the total sea level rise. Our data and analysis showed firm indications of extreme effects on the coastline of Florida and some of its major tourist attractions by …
Modeling The Optimization Of A Toll Booth Plaza, Liam Connell, Zachary Schutzman, Erin Hoover
Modeling The Optimization Of A Toll Booth Plaza, Liam Connell, Zachary Schutzman, Erin Hoover
CLAS: Colby Liberal Arts Symposium
When designing a toll plaza, many factors have to be considered, especially the number of toll booths to build. In this paper, we try to determine the optimal number of toll booths by creating a model for car movement at a toll plaza. We define optimal as the number of toll booths that minimizes the waiting time, particularly at a high congestion time (i.e. rush hour). To model the movement of cars through a toll booth plaza, we break the problem into two parts: time spent waiting in line and then time spent merging back into traffic. Because each of …
Mathematical Analysis Of A Nim-Like Matrix Game, Edward Chuang, Stephen Morse
Mathematical Analysis Of A Nim-Like Matrix Game, Edward Chuang, Stephen Morse
CLAS: Colby Liberal Arts Symposium
This poster presentation covers our research on a mathematical game that is somewhat similar to the popular game Nim. In this game, Players play a variation of Nim where the number of piles must be a perfect square and where the piles are actually situated within a matrix. In addition, players are only allowed to subtract one from an entry on their turn, where as in Nim there are typically more options. The game is over either when a player does not have a move to make (because all entries have been reduced to zero) or the when the game …
The Highway Game: Optimizing The Number Of Tollbooths, Meaghan Lewia, Tara Chizinski, Megan Lasher
The Highway Game: Optimizing The Number Of Tollbooths, Meaghan Lewia, Tara Chizinski, Megan Lasher
CLAS: Colby Liberal Arts Symposium
One of the biggest woes of highway drivers is the amount of tolls along the road that require each vehicle to not only slow down significantly, but also pay sometimes up to -8 to the State. This inconvenience is protested on various levels, but since its clear that the government must institute some type of toll system, we have decided to find a model that will at least optimize the time for each driver while still saving the State as much money as possible. Our report constructs a model of the ideal amount of tollbooths for any number of highway …