Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 6 of 6

Full-Text Articles in Physical Sciences and Mathematics

Modeling Distances Between Various Attractions And Nearest City Parks Using Exponential Distribution, Ashley Hall May 2019

Modeling Distances Between Various Attractions And Nearest City Parks Using Exponential Distribution, Ashley Hall

Scholars Week

We examine the park data in Twin Cities Metropolitan Area (TCMA) to understand the distances between various attractions (water features, transit stops, bike paths, sport fields, etc.) and nearest city parks. We verify our research hypothesis that these distance variables are exponentially distributed using histograms and chi-squared goodness-of-fit test. Our findings suggest that most of the distance variables are indeed exponentially distributed except the one that measures the distance between the metropolitan area and the nearest city parks. Based on that, we further hypothesize that the locations of the various attractions relative to the nearest city parks follow the spatial …


A Comparative Study Of Incidence Of Domestic Violence Between Immigrant And Non-Immigrant Women In The United States Of America, Nadia A. Gordon, Urmi Ghosh-Dastidar, Janet Liou-Mark, Shamita Dasgupta May 2019

A Comparative Study Of Incidence Of Domestic Violence Between Immigrant And Non-Immigrant Women In The United States Of America, Nadia A. Gordon, Urmi Ghosh-Dastidar, Janet Liou-Mark, Shamita Dasgupta

Publications and Research

Immigrant women in the USA come from various socio-economic, cultural, and religious backgrounds. Some of these women suffer from domestic violence; however, due to their strict cultural or social structure, they often stay quiet and rarely report these incidents to the authorities. Additionally, since these immigrant women face more challenges than their non-immigrant peers, they are more reluctant or unlikely to leave their abusive partners. An analysis was completed using published data as an attempt to establish if any statistically significant differences exist between reported incidences among immigrant women and non-immigrant women. A chi-square analysis (χ2 = 14.53; p-value …


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


Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh Mar 2019

Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh

UNO Student Research and Creative Activity Fair

Boolean Networks are being used to analyze models in biology, economics, social sciences, and many other areas. These models simplify the reality by assuming that each element in the network can take on only two possible values, such as ON and OFF. The node evolution is governed by its interaction with other nodes in its neighborhood, which is described mathematically by a Boolean function or rule. For simplicity reasons, many models assume that all nodes follow the same Boolean rule. However, real networks often use more than one Boolean rule and therefore are heterogeneous networks. Heterogeneous networks have not yet …


Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller Mar 2019

Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller

UNO Student Research and Creative Activity Fair

Description: The Fourier series expansion method is an invaluable approach to solving partial differential equations, including the heat and wave equations. For homogeneous heat and wave equations, the solution can readily be found through separation of variables and then expansion of the solution in terms of the eigenfunctions. Solutions to inhomogeneous heat and wave equations through Fourier series expansion methods were not readily available in the literature for two- and three-dimensional cases. In my previous paper, I developed an approach for solving inhomogeneous heat and wave equations on cubic domains using Fourier series expansion methods. I shall extend my …