Physical Sciences and Mathematics Commons^™

Rsa Algorithm, Evalisbeth Garcia Diazbarriga

ATU Research Symposium

I will be presenting about the RSA method in cryptology which is the coding and decoding of messages. My research will focus on proving that the method works and how it is used to communicate secretly.

Sentiment Analysis Before And During The Covid-19 Pandemic, Emily Musgrove

Mathematics Summer Fellows

This study examines the change in connotative language use before and during the Covid-19 pandemic. By analyzing news articles from several major US newspapers, we found that there is a statistically significant correlation between the sentiment of the text and the publication period. Specifically, we document a large, systematic, and statistically significant decline in the overall sentiment of articles published in major news outlets. While our results do not directly gauge the sentiment of the population, our findings have important implications regarding the social responsibility of journalists and media outlets especially in times of crisis.

Analysis Of The Discrete Cosine Transform Coefficients, Dillon C. Mckinley

ATU Research Symposium

No abstract provided.

Nviz: Unraveling Neural Networks Through Visualization, Kevin Hoffman

Mathematics and Computer Science Presentations

The growing utility of artificial intelligence (AI) is attributed to the development of neural networks. These networks are a class of models that make predictions based on previously observed data. While the inferential power of neural networks is great, the ability to explain their results is difficult because the underlying model is automatically generated. The AI community commonly refers to neural networks as black boxes because the patterns they learn from the data are not easily understood. This project aims to improve the visibility of patterns that neural networks identify in data. Through an interactive web application, NVIZ affords the …

Cie Text Analysis: Narrative Of The Life Of Frederick Douglass, The Declaration Of Independence, And The Declaration Of Sentiments, Arianna Knipe

Mathematics and Computer Science Presentations

Our STAT-451 class has worked with analyzing the words from CIE texts and assigning them to a sentiment or feeling and comparing them with one another using RStudio. This project analyzes texts from three sources: The Narrative of the Life of Frederick Douglass, The Declaration of Independence and the Declaration of Sentiments.

Studies Of Subvarieties Of Classical Complex Algebraic Geometry, Wenzhe Wang

Undergraduate Student Research Internships Conference

My project in this USRI program is to study subvariety of classical complex algebraic geometry. I observed the orbit of elements in the unit sphere in space ℂ² ⊗ ℂ², the structure of unit sphere of ℂ² ⊗ ℂ². After this, I tried to generalize the result to ℂ^n ⊗ ℂ^n.

How Risk-Related Statistics, As Reported In News And Social Media, Are Linked To The Use Of The Public Transit System, Prashiddhi Pokhrel

Thinking Matters Symposium

Due to the pandemic, people have started relying more on televisions, news, social media, and other news outlets for guidance. Moreover, with the increasing amount of news, data, and information there is also an increase in the amount of misleading statistics. People’s opinions and decisions significantly depend on the data, statistics, and information that they are exposed to, as well as their sources. For this project, we want to look at how information and its sources are affecting the decision made by the general public for the usage of the Portland Transit System. It is very important to know why …

Preliminary Results On The Use Of Machine Learning For Advance Controls Of A Dielectric Elastomer Actuator, Nathanael Gentry, Carson Farmer, Hector Medina

Liberty University Research Week

Undergraduate

Applied

Potential Connections Between Graph Theory And Materials Modeling, Rachel Drake, Hector Medina

Liberty University Research Week

Undergraduate

Applied

Women In Stem, Dyandra M. Johnson

Arkansas Women in STEM Conference

My poster is about the life of Katherine Johnson, its a summary of her achievements, educational background, and her family life. The purpose of my poster is to provide information about this amazing woman that was apart of STEM. I've found that she had accomplished a lot through using Mathematics, and how she contributed so much to NASA.

Geometry Aided Sonification, Michael Tecce

Mathematics and Computer Science Presentations

Sonification is the process of deriving an audio representation of a time series which conveys important information about that time series. Otology and vision science have established that humans process audio information more quickly than visual information, and sonification can convey data to the visually impaired. In our work, we implement pipelines using Python/Numpy, and we handle both ordinary 1D time series and multivariate time series. For 1D time series, we find that using data to modulate the pitch or timing of preselected sounds (such as sine waves) simply and effectively captures repeating patterns and anomalies/outliers within the data. To …

An Investigation Of The Relationship Between Math Curricula And Students' College Readiness, Nancy A. Deluca

Scholar Week 2016 - present

State learning standards with increased rigor have required higher levels of achievement from students on standardized tests, high-school grades, and national percentile ranks which are used for collegiate acceptance and course placement. As a result, preparation of students for standardized tests such as the ACT and SAT have become increasingly more challenging. The current quantitative, quasi-experimental study examined the relationship between the tangible math curricula used for instruction and students’ readiness for collegiate coursework. From sample sizes of 128 and 169 high-school students in two consecutive school years, there were several statistically significant relationship differences. Analysis of test results indicated …

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

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

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

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

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

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 …

Catalytic Deoxygenation Of Model And Realistic Feeds To Fuel-Like Hydrocarbons Over Supported Nickel-Copper Catalysts, Deyshon Ward, Kazi Javed

Posters-at-the-Capitol

The goal was to make a renewable fuel by using catalysts to remove oxygen molecules from fats. This is a current issue that society faces today because nonrenewable fossil fuels hurt the environment more than they help it. There are two components that make up a heterogeneous catalyst, a support and a reduced metal active phase. The active metal phases Nickel, Palladium, Platinum have been studied in the past on an alumina and carbon supports. We were investigating other supports using Nickel as the active phase component to determine the effect the support has on the catalyst removing oxygen of …

Percent On & Off, Johannes Familton

Open Educational Resources

This PowerPoint was made for a Quantitative Reasoning, Liberal arts math course. This is an example of what one can do using only OER resources. This PowerPoint with the use of animation, animated gifs and a nice background keeps students engaged in the lesson. The contents of this lesson is taken from Math in Society, by David Lippman, Pierce College Ft Steilacoom. The text is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License. PPT Background: http://www.MyFreePPT.com Animated gifs: http://www.zingerbug.com

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

Student Scholar Showcase

No abstract provided.

An Operational Drought Prediction Framework With Application Of Vine Copula Functions, Mahkameh Zarekarizi

Student Research Symposium

Early and accurate drought predictions can benefit water resources and emergency managers by enhancing drought preparedness. Soil moisture memory is shown to contain helpful information for prediction of future values. This study uses the soil moisture memory to predict their future states via multivariate statistical modeling. We present a drought forecasting framework which issues monthly and seasonal drought forecasts. This framework estimates droughts with different lead times and updates the forecasts when more data become available. Forecasts are generated by conditioning future soil moisture values on antecedent drought status. The statistical model is initialized by soil moisture simulations retrieved from …

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 …

Teaching And Learning Mathematics In The Ar/Vr Environment, Alexander Vaninsky

Publications and Research

This presentation discusses teaching and learning mathematics in augmented (AR) or virtual (VR) reality created by a combination of goggles and earphones. It claims that interactive learning in such an environment is more attractive and efficient. It increases motivation and interest in the subject matter. The approach is underlain by the findings of educational neuroscience considering the learning process as the formation of domains in the brain forming mathematics knowledge centers. The teaching process provides sensory excitation and establishes connections among these and other domains. Hardware and software are available in the market. The suggested approach allows for practical implementation …

Making The Journey From A Traditional Model To An Online Model, Jenny Shrensker, Nazire Koc

Jenny Shrensker

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

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

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

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 …

Leslie Matrices For Logistic Population Modeling, Bruce Kessler

Bruce Kessler

Leslie matrices are taught as a method of modeling populations in a discrete-time fashion with more detail in the tracking of age groups within the population. Leslie matrices have limited use in the actual modeling of populations, since when the age groups are summed, it is basically equivalent to discrete-time modeling assuming exponential population growth. The logistic model of population growth is more realistic, since it takes into account a carrying capacity for the environment of the population. This talk will describe an adjustment to the Leslie matrix approach for population modeling that is both takes into account the carrying …