Physical Sciences and Mathematics Commons^™

Analyzing The Efficacy Of Covid-19 Travel Bans: A Regression Analysis Approach, Mallory Kochanek

Honors Projects

Some might associate the term ‘public health’ with the pandemic that occurred in 2020. COVID-19 spread like most have never seen in their lifetime. It is useful to look at the effectiveness of the travel re- strictions in mitigating the spread of the global pandemic. Using linear regression and network regression, we obtain parameter estimates to determine the relation of predictors, such as network effect, percentage of urban population and GDP, on the COVID-19 incidence rate for the months January to April of 2020. Linear regression does not ac- count for the correlation structure of the data. Network regression, on …

Understanding The Beauty Of Mathematics By Composing Claude Debussy's Syrinx Into Mathematical Equations, Mackenzi Mehlberg

Honors Projects

Mesmerizing melodies and narrative storytelling are exemplified in Claude Debussy's Syrinx. As a well-known piece of solo flute literature, it is considered beautiful. Conversely, mathematics is seen as logical, and by implication not beautiful. Using Fourier Analysis, Syrinx can be represented in a different context: a series of mathematical equations. These mathematical equations can then be played as a different interpretation of Syrinx. With this interpretation, we see that mathematics is beautiful.

Creating Project Contrast: A Video Game Exploring Consciousness And Qualia, Pierce Papke

Honors Projects

Project Contrast is a video game that explores how the unique traits inherent to video games might engage reflective player responses to qualitative experience. Project Contrast does this through suspension of disbelief, avatar projection, presence, player agency in storytelling, visual perception, functional gameplay, and art. Considering the difficulty in researching qualitative experience due to its subjectivity and circular explanations, I created Project Contrast not to analyze qualia, though that was my original hope. I instead created Project Contrast as an avenue for player self-reflection and learning about qualitative experience. While video games might be just code and art on a …

Using Deep Neural Networks To Classify Astronomical Images, Andrew D. Macpherson

Honors Projects

As the quantity of astronomical data available continues to exceed the resources available for analysis, recent advances in artificial intelligence encourage the development of automated classification tools. This paper lays out a framework for constructing a deep neural network capable of classifying individual astronomical images by describing techniques to extract and label these objects from large images.

Baseball’S Evolution In The 21st Century, And How It Exemplifies Human Response To Change, Jonathan Sharpe

Honors Projects

The game of baseball has changed a lot in the past twenty years. It can be primarily attributed to the explosion in data analytics and how they are used to evaluate baseball players. This led to different player profiles being preferred and eventually led to the development of players changing. As a result, the strategies employed have also evolved and turned into a different game than seen only a couple of decades ago. This paper will explore the changes that the game has seen. On the other hand, Major League Baseball has also implemented its own changes to try and …

The Theatre Of Math: The Stage As A Tool For Abstract Math Education, Blaine Hudak

Honors Projects

So often in the education of Mathematics does instruction solely consist of the lecture. While this can be an effective method of communicating the ideas of math, it leaves much to be desired in gathering the interest and intrigue of those who have not dedicated their lives to the study of the subject. Theatre, by contrast, is a tool that has been used in the past as means of teaching complicated and difficult to understand moral and emotional subjects. While Theatre and Mathematics have been used in combination many times in the past, it is most often done in the …

Teaching About The Global Refugee Crisis, Melissa Kafer

Honors Projects

Around the world, there are more than 30 million refugees (UNHCR, 2023) facing language barriers, cultural differences, prejudice, racism, and xenophobia. The number of admitted refugees in 2022 has more than doubled since 2021 (Duffin, 2022), and yet, many Americans do not know or understand the global refugee crisis. There are misconceptions in America that cause lack of empathy, bias, and prejudice towards refugees. Through the creation of four lesson plans, this research project aims to discover Americans’ misunderstandings regarding refugees and teach them about the crisis to remedy the misconceptions. This study includes a literature review detailing appropriate teaching …

The History And Significance Of Taxidermy Bird Collections In North America: Bgsu's Own Undervalued Collection And Its Future, Kristin Burnside

Honors Projects

Taxidermy, despite its association with the bizarre and outlandish, has a rich history and culture that helped to define post-Civil War America and its pursuit of knowledge and reconnection with nature. With the widespread publication and availability of how-to guides, natural history collecting and taxidermy became accessible to any individual regardless of age, gender, or class. The hobby required physicality and courage to collect unique and interesting specimens, and intellect and creativity to conserve and display them, all of which inherently connected the avocation with respect. With varying levels of success, hobbyists experimented with different chemicals, such as arsenic, in …

Testing Pedagogical Approaches To Online Lecture: Effects Of Background Music And Interactive Video Series On Student Retention Of Prior Conception-Correcting Information On Climate Change, Roya Franseth

Honors Projects

Climate change is a pervasive element in our modern lives, yet many harbor ideas about climate change and associated climate mechanisms that are misinformed or incorrect. Ideas like these – prior conceptions (ideas that people carry with them into learning experiences about a subject) – are studied in varying degrees across fields. The geosciences do not have a particularly robust collection of research on the subject of geoscience-specific prior conceptions. At the same time, due to the COVID-19 pandemic, alternatives to in-person lecture such as online lecture have become normalized. The original aim of this paper was to determine if …

Glass: The Material That Defines Us, Madisyn Rex

Honors Projects

This Honors Project is an exploration of the intersections between glass science, geology, glass art, and my own personal experience with glass.

Power Play: The President's Role In Shaping Renewable Energy Regulation And Policy, Luke Bartol

Honors Projects

With the impacts of climate change becoming more and more apparent every day, finding means of effective action to mitigate its effects become increasingly critical. While localized work can play an important role, federal action is necessary to have the most widespread and effective impact, especially on interconnected issues such as clean energy. Congressional action is the avenue of change at this level, however in an increasingly partisan and divided environment, progress on this front is far short of what is needed.

Looking to the president is logical here, both as a single actor more insulated from partisan fights, but …

Diatom Blooms In Harpswell Sound: Seasonality, Succession, And Origin, Charlie Francis O'Brien

Honors Projects

Harpswell Sound (HS) is an inlet in northeastern Casco Bay that exerts control on Gulf of Maine ecosystem health, yet its complex phytoplankton community dynamics have not been characterized with sufficiently detailed analyses. In this research, high-resolution automated microscopy and current velocity observations were used to test the seasonality, ecological succession, bloom origin location, and potential toxicity of populations in HS between 2020 and 2022. Winter months could exhibit slow accumulation of diatom biovolume. Cold, salty surface water has net outflow in winter as nutrients from depth are replenished during net upwelling conditions, and populations could be exported from the …

The Current Support Theorem In Context, Ethan Winters

Honors Projects

This work builds up the theory surrounding a recent result of Erlandsson, Leininger, and Sadanand: the Current Support Theorem. This theorem states precisely when a hyperbolic cone metric on a surface is determined by the support of its Liouville current. To provide background for this theorem, we will cover hyperbolic geometry and hyperbolic surfaces more generally, cone surfaces, covering spaces of surfaces, the notion of an orbifold, and geodesic currents. A corollary to this theorem found in the original paper is discussed which asserts that a surface with more than $32(g-1)$ cone points must be rigid. We extend this result …

An Analysis Of Tidal Mixing Front Dynamics And Frontal Biophysical Interaction In The Harpswell Sound Shelf Sea, Lemona Yingzhuo Niu

Honors Projects

Tidal Mixing Fronts (TMFs) are prominent hydrographic features of tidally energetic shallow shelf seas, representing the transition from mixed to stratified waters. These frontal boundaries often host enhanced phytoplankton primary productivity, as complete vertical mixing exhumes nutrients from depth to the light-lit surface. Existing observational programs for locating TMFs include infra-red satellite imagery of sea surface temperature (SST) and vertical profiling of temperature and density. However, challenges in observationally distinguishing mixed from mixing using only conservatively mixed hydrographic properties persist. A novel approach based on phytoplankton in-situ oxygen production response to light is proposed in this paper to distinguish stable …

Modeling Uv Light Through N95 Filters, Lorenzo Hess

Honors Projects

Reuse of N95 FFRs helps mitigate the effects of shortages. UV-C exposure is an ideal method for the decontamination necessary for FFR reuse. Recent research quantifies the transmittance of UV-C through the 3M1870+ and 3M9210+ FFRs [1]. Other research measures the reduction in viral load in relation to UV-C exposure time [11]. We design and program a ray tracing simulator in MATLAB to characterize the distribution of scattered photons in N95 FFRs. We implement an object-oriented FFR with configurable physical characteristics. We use the simulator to record the number of photons available for decontamination in each sub-layer of the filtering …

Modeling Oyster Growth Dynamics In Flupsy Systems To Develop A Decision Support Tool For Seed Management, Gretchen Clauss

Honors Projects

As the Gulf of Maine warms and lobsters move north to colder waters, Maine’s working water front has begun to diversify. There is a thriving new ecosystem of aquaculturists looking to keep Maine’s waterfront traditions alive in a lasting, sustainable way. One of the most popular aquaculture industries is oyster farming. With an increasing number of oyster farms developing in Midcoast Maine each year, we seek to develop a decision support tool to aid farmers in seed management. Oyster farmers can choose weather or not to use an upweller on their farm, and our goal is to provide guidance on …

Properties Of Slicing Conditions For Charged Black Holes, Sean E. Li

Honors Projects

We consider an earlier analysis by Baumgarte and de Oliveira (2022) of static Bona-Massó slices of stationary, nonrotating, uncharged black holes, represented by Schwarzschild spacetimes, and generalize that approach to Reissner-Nordström (RN) spacetimes, representing stationary, nonrotating black holes that carry a nonzero charge. This charge is parametrized by the charge-to-mass ratio λ ≡ Q/M, where M is the black-hole mass and the charge Q may represent electrical charge or act as a placeholder for extensions of general relativity. We use a height-function approach to construct time-independent, spherically symmetric slices that satisfy a so-called Bona-Massó slicing condition. We …

A Machine Learning Approach To Sector Based Market Efficiency, Angus Zuklie

Honors Projects

In economic circles, there is an idea that the increasing prevalence of algorithmic trading is improving the information efficiency of electronic stock markets. This project sought to test the above theory computationally. If an algorithm can accurately forecast near-term equity prices using historical data, there must be predictive information present in the data. Changes in the predictive accuracy of such algorithms should correlate with increasing or decreasing market efficiency.

By using advanced machine learning approaches, including dense neural networks, LSTM, and CNN models, I modified intra day predictive precision to act as a proxy for market efficiency. Allowing for the …

On L-Functions And The 1-Level Density, Arav Agarwal

Honors Projects

We begin with the classical study of the Riemann zeta function and Dirichlet L-functions. This includes a full exposition on one of the most useful ways of exploiting their connection with primes, namely, explicit formulae. We then proceed to introduce statistics of low-lying zeros of Dirichlet L-functions, discussing prior results of Fiorilli and Miller (2015) on the 1-level density of Dirichlet L-functions and their achievement in surpassing the prediction of the powerful Ratios Conjecture. Finally, we present our original work partially generalizing these results to the case of Hecke L-functions over imaginary quadratic fields.