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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

An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith Apr 2019

An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith

Student Scholar Showcase

Blood flow to the tissue of the hands and digits is efficiently regulated by vasoconstriction and vasodilation. Through a series of cadaveric dissection, we examined arteries in the hands and digits, including ulnar artery, radial artery, palmar arteries, and digital arteries, for their distribution (branching) patterns and morphological parameters (e.g., thickness, length between branches, external and internal diameters). Using data directly collected from three female cadavers as input variables to our mathematical model, we simulated vasoconstriction (-20% and -10% diameter) and vasodilation (+10% and +20 diameter) to evaluate the extent of changes in blood volume and flow within the arteries. …


Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman Apr 2019

Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman

Student Scholar Showcase

In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results


Creating A Predictive Model For Flowering Of Virginia Orchid, Cypripedium Pubescens, Emily Horton Apr 2018

Creating A Predictive Model For Flowering Of Virginia Orchid, Cypripedium Pubescens, Emily Horton

Student Scholar Showcase

No abstract provided.


A Game Of Monovariants On A Checkerboard, Linwood Reynolds Apr 2017

A Game Of Monovariants On A Checkerboard, Linwood Reynolds

Student Scholar Showcase

Abstract: Assume there is a game that takes place on a 20x20 checkerboard in which each of the 400 squares are filled with either a penny, nickel, dime, or quarter. The coins are placed randomly onto the squares, and there are to be 100 of each of the coins on the board. To begin the game, 59 coins are removed at random. The goal of the game is to remove each remaining coin from the board according to the following rules: 1. A penny can only be removed if all 4 adjacent squares are empty. That is, a penny cannot …