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Physical Sciences and Mathematics Commons

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Mathematics

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Full-Text Articles in Physical Sciences and Mathematics

The Mathematical And Historical Significance Of The Four-Color Theorem, Brock Bivens Apr 2024

The Mathematical And Historical Significance Of The Four-Color Theorem, Brock Bivens

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Computers becoming more readily used in mathematics.


A Fractal Geometry For Hydrodynamics, Jonah Mears Apr 2022

A Fractal Geometry For Hydrodynamics, Jonah Mears

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Experiments have shown that objects with uneven surfaces, such as golf balls, can have less drag than those with smooth surfaces. Since fractal surfaces appear naturally in other areas, it must be asked if they can produce less drag than a traditional surface and save energy. Little or no research as been conducted so far on this question. The purpose of this project is to see if fractal geometry can improve boat hull design by producing a hull with low friction.


A Paradox Solved (Or 3), Lee Grisham May 2020

A Paradox Solved (Or 3), Lee Grisham

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I gained an interest in paradoxes when I was introduced to the Grandfather paradox as a child, and began studying time travel, along with all the effects and thought experiments it could lead to. This, in turn, led to my researching many more paradoxes and having something to do in my free time that didn’t require anything outside my own thoughts. Several paradoxes I found stumped me then, and still do to this day. However, there are some that I have recently begun to feel like I am understanding much more clearly. One day this past semester, I was thinking …