Digital Commons Network^™

Studies In Number Theory: Reciprocity Laws And Fundamental Domains, C. Xavier Parent

All Graduate Theses and Dissertations, Fall 2023 to Present

This thesis consists of two sections. The first section is an introductory survey of number theory discussing the reciprocity laws with a focus on accessibility. Number Theory has always been a fundamental area of mathematical study, with Gauss calling it “the queen of mathematics”. The reciprocity laws are a classical set of results from number theory which have driven number theory for quite a long time. Unfortunately, these results, while important, have always been very inaccessible to undergraduate students, making it hard to start studying the field. This survey attempts to help bridge that gap, giving a resource for novices …

Gender-Diverse Individuals' Mathematics Self-Efficacy, Aliya Halterman

All Graduate Theses and Dissertations, Fall 2023 to Present

Many factors influence how well someone learns and achieve in school and daily living, with motivation being especially important. One key part of motivation is something called self-efficacy, which refers to how much someone believes they can successfully do a specific task (Bandura, 1986; 1997). Research has shown that self-efficacy plays a major role in how well people do, and the quality of their efforts (Pintrich & Schrauben, 1992; Weinstein & Mayer, 1986; Zimmermann, 2000). Additionally, mathematics skills are tied to better outcomes in school, careers, and in daily life. Mathematics also has also had a complex history when it …

Exploring Methods For Quantifying Uncertainty In Neural Network-Based Turbulence Closures, Cody Grogan

All Graduate Theses and Dissertations, Fall 2023 to Present

Machine Learning (ML) is a very promising field for data-driven modeling of different phenomena. In the field of Computational Fluid Dynamics (CFD), ML is an enticing alternative to traditional methods to improve the accuracy and computational efficiency of simulations. However, many ML models, like Neural Networks, don’t quantify their uncertainty or indicate their confidence in a prediction to those who wish to use them. This is especially important because the use of inaccurate ML predictions in a CFD simulation can greatly impact the validity of a simulation. However, with uncertainty quantification, an ML model can indicate to a modeler the …

An Evaluation Of Interactive Computerized Training To Teach Preservice Speech Language Pathologists To Implement Brief Multiple Stimulus Without Replacement Preference Assessments, Mattie L. Mecham

All Graduate Theses and Dissertations, Fall 2023 to Present

Positive reinforcement is often used when teaching new skills. When working with individuals with developmental disabilities, it can be difficult to determine reinforcing items. Preference assessments can be used to identify items that may function as reinforcers. A multiple stimulus without replacement preference assessment (MSWO) produces a ranking of preferred items and can be conducted quickly. Researchers have utilized interactive computerized training (ICT) to teach behavior analytic skills and procedures. The present investigation aimed to extend previous MSWO training and ICT research by developing and evaluating the effects of an MSWO ICT implemented with speech language pathology graduate students. The …

Evaluating The Impact Of Maximum Aero-Thermal Heating On A High-Speed Fixed-Wing Atmospheric Aircraft Optimum Trajectory, Benjamin M. Ford

All Graduate Theses and Dissertations, Fall 2023 to Present

This study explores how extreme heating affects the flight paths of hypersonic aircraft—vehicles that travel at speeds many times faster than sound. Analyzing how to fly a high-speed aircraft without overheating it can prevent structural failure while operating at maximum possible performance. The results shown in this section indicate that it is possible to operate at very high speeds in an aircraft while keeping peak vehicle temperature below our limits while saving fuel.

A Provable Semi-Infinite Programming Approach For Solving Dynamic Nash Games, Tyler C. Gardner

All Graduate Theses and Dissertations, Fall 2023 to Present

Many engineering problems must account for the non-cooperative decisions and actions of multiple players. These problems can be modeled within a game-theoretic framework. The approach herein is to model problems as Nash games, convert them to semi-infinite programs, and leverage provable semi-infinite algorithms to solve the original problem. A particular algorithm that leverages off-the-shelf solvers is used to solve four low-dimensional benchmark problems successfully. Two types of linear quadratic dynamic games are then investigated: ones where each player’s problem is convex and ones where at least one player’s problem is nonconvex. Within each type, variations based on information structure, communication …

Evaluating Cyanotoxins In Surface Water And Aerosols Near Utah Lake, Dylan R. Mcpeake

All Graduate Theses and Dissertations, Fall 2023 to Present

Utah Lake is a freshwater lake in Utah County near Provo, Utah. It is the third- largest lake in Utah and is important for recreation and local businesses. However, from June to October, the lake often has cyanobacteria harmful algal blooms (cHABs), which contain a toxin called cyanotoxin. These toxins can be dangerous to people who come into contact with the water. Government agencies regularly check for cHABs and warn people when the water is unsafe for activities like swimming. Collecting water samples to test for cHABs can be risky because it can possibly result in direct contact with the …

Adapting To Change In Amenity-Oriented Communities: Innovative Strategies For Shifting Social And Environmental Needs, Emma L. R. Epperson

All Graduate Theses and Dissertations, Fall 2023 to Present

Amenity-oriented communities are places with significant and desirable natural amenities that are highly visited and plentiful within the Intermountain West. These high rates of visitation create complex challenges such as congestion in recreation spaces and in towns and increase costs of living. These communities are typically rural and often do not have the resources, funding, or infrastructure to combat these challenges. Although tourists provide financial stability and other amenities to these towns, local wellbeing is highly impacted. Outdoor recreation and the nature connections derived from outdoor experiences are major contributors to wellbeing in amenity communities. This research investigates the changes …

Cutting Propagation And Out-Planting Of White-Margined Beardtongue (Penstemon Albomarginatus M.E. Jones), A Vulnerable Herbaceous Perennial Of The Mojave Desert), Alexander Stosich

All Graduate Theses and Dissertations, Fall 2023 to Present

Plant biodiversity is crucial for the proper functioning of ecosystems, with many species needed to maintain the variety of functions provided, especially with increasing environmental change. However, plant biodiversity is threatened in many different ecosystems, primarily through habitat loss. Species can be conserved by protecting their original habitat and mitigating for threats such as invasive species or altered disturbance regimes (plant conservation); however, with declining population numbers and continued habitat loss and/or disturbance, it may be necessary to actively move plants (plant restoration). Plant restoration is dependent on developing the capacity to a) reliably propagate plants in a nursery and …

An Investigation Into The Principle Of Symmetric Criticality, Guillermo Frausto

All Graduate Theses and Dissertations, Fall 2023 to Present

In physics, symmetries help us understand complex systems by revealing conserved quantities and simplifying equations. In the context of general relativity, where spacetime is curved and dynamic, these symmetries become especially important when trying to reduce or solve the equations that govern gravitational and matter fields.

This dissertation investigates a mathematical principle known as the Principle of Symmetric Criticality (PSC), which helps determine when symmetries can be used to simplify physical theories without losing essential information. While often assumed to be valid, PSC does not always hold, and understanding when it does is critical for the reliable use of symmetry …

Analysis Of Thrust Performance And Noise Generation Of Uam Composite Propellers Fabricated Using Composite-Based Additive Manufacturing, Samiul Alam

All Graduate Theses and Dissertations, Fall 2023 to Present

Urban air mobility (UAM) is an emerging transportation concept that uses lightweight, efficient aircraft for transporting goods and passengers and performing other logistical activities. One of the biggest challenges in developing UAM from a structural perspective is manufacturing strong and reliable propellers that are lightweight and durable. Traditional manufacturing methods for composite propellers are expensive, time-consuming, and difficult to scale. This study explores a new approach using Composite-Based Additive Manufacturing (CBAM) to produce high-performance propellers more efficiently. CBAM allows for the fabrication of strong, lightweight composite propellers using short manufacturing lead times. However, one challenge with this technique is that …

Effects Of Elevation, Fire Age, Burn Severity, And Pre-Fire Vegetation On Post-Fire Sagebrush Songbird Communities, William D. Harrod

All Graduate Theses and Dissertations, Fall 2023 to Present

The Sagebrush Biome of western North America has been threatened by a combination of interconnected threats. In the Great and Columbian Basins, a large portion of sagebrush loss has been due to an increase in higher-severity wildfires, caused by invasive annual grasses. As sagebrush declines, numerous wildlife species that rely on the biome have experienced similar trends. Sagebrush-adapted songbirds such as sage thrasher, Brewer's sparrow, and sagebrush sparrow as well as steppe-songbirds, have all experienced population declines. Currently, limited information exists as to how fire severity or recovery affect these songbirds or what resource managers can do to improve their …

Examining The Predictive Validity Of Adolescent Complete Mental Health On High School Academic Performance, Nai-Jiin Yang

All Graduate Theses and Dissertations, Fall 2023 to Present

This multiple-paper dissertation examines how adolescent complete mental health, based on the Dual-Factor Model, predicts high school academic performance. The Dual-Factor Model considers both psychological distress (such as internalizing and externalizing symptoms) and subjective wellbeing (such as life satisfaction and positive affect). The main research objective is to determine whether this comprehensive framework offers stronger predictive power for academic success than symptom-based approaches alone.

Two studies were conducted using self-report mental health data collected at three time points during an academic year. These data were analyzed alongside end-of-quarter grade point averages in English Language Arts, math, and overall GPA using …

From Marriage To Migration: Analyzing Return Migration, Gender Inequalities And Household Resource Allocation Patterns, Saeed Ahmad

All Graduate Theses and Dissertations, Fall 2023 to Present

In Kyrgyzstan, a country shaped by deep-rooted traditions and high rates of migration, women's lives are often influenced by powerful cultural expectations, economic pressures, and limited choices. My research explores how these forces intersect—particularly through the lens of bride kidnapping, migration, and how families use money and resources. Together, these issues reveal how gender inequality operates in everyday life, and how women navigate both constraint and resilience.

This dissertation includes three connected studies. The first examines how the COVID-19 pandemic disrupted international labor migration, especially for Kyrgyz migrants working in Russia. Many returnees lost their jobs and faced hostility or …

Conceptions Of Climate Change Skepticism: A Phenomenographic Investigation On Perspectives From Climate Scientists And Climate Activists, Candace L. Penrod

All Graduate Theses and Dissertations, Fall 2023 to Present

This study addresses how climate change denial is understood by climate scientists and climate activists. This research also investigates what communication strategies addressing climate change denial are used by climate scientists and climate activists. Phenomenography was selected as a methodology to address the qualitative and quantitative aspects of this inquiry. Pre-recorded data from interviews with six climate scientists and six climate activists living in the Intermountain West were used as the data source. Interview transcripts were read, marked, and coded to identify how climate scientists and climate activists understood climate change denial. Five conceptions of climate change skepticism were identified …

Enabling Sustainability Transitions For Great Salt Lake: Framing Of Public Opinion, Boundary Work, And Policy, Anna Mcentire

All Graduate Theses and Dissertations, Fall 2023 to Present

This dissertation explores how people think about, talk about, and take action to save Great Salt Lake, which reached historic low levels in 2021. Using surveys, public records, and legislative documents primarily from 2022 to 2024, the research examines public opinions, collaborative efforts, and policy changes related to the lake. The first chapter looks at what people value about the lake and what actions they want to see taken. It finds that people are very concerned and want significant efforts to stop the lake's decline. The second chapter investigates how different groups work together publicly to negotiate new understandings, create …

Linking Variation In Mule Deer Nutritional Condition And Age To Population Performance In A Temperate Environment, Kent R. Hersey

All Graduate Theses and Dissertations, Fall 2023 to Present

The amount of body fat animals have as they enter and exit winter can have major impacts on how well they survive and reproduce. Mule deer are widely distributed herbivores whose survival and reproduction are strongly tied to weather patterns and the quality of vegetation they consume, which in turn impacts nutritional condition. The objective of this study was to identify and quantify the factors (animal specific, climatic, or habitat) influencing mule deer body fat during both summer and winter in Utah and examine how nutritional condition influences survival. We found December body fat was most affected by December lactation …

Aquatic Habitat Representation For Robust Water Resources Management And Fish Conservation Decision-Making, Gregory C. Goodrum

All Graduate Theses and Dissertations, Fall 2023 to Present

We rely on rivers to provide water supply, flood control, and hydroelectricity for people and to sustain aquatic ecosystems. The development of dams and reservoirs to provide water for people did not consider environmental impacts to rivers, leading to widespread decline of freshwater species and habitat. Improving environmental outcomes of water management is needed to protect and restore aquatic ecosystems. However, rivers are complex and variable, making them difficult to represent as objectives for water management. This dissertation explores approaches to improve aquatic habitat representation and environmental objectives for water resources management and river conservation and restoration.

Chapter 2 uses …

Evaluating The Effects Of Two Key Temporal Intervals During Pavlovian Training On Conditioned Reinforcement, Gabrielle M. Sutton

All Graduate Theses and Dissertations, Fall 2023 to Present

Reinforcers are anything that increases or maintains the frequency of a behavior that precedes their occurrence. Reinforcers can be separated into two types, primary and secondary. Primary reinforcers are biologically relevant stimuli like food, water, or drugs that can influence behavior without any prior training. Secondary reinforcers are those that impact behavior through their trained relationship with a primary reinforcer, like money and tokens. For this reason, they are also known as conditioned reinforcers. Conditioned reinforcers are used in therapies and training designed to increase desirable behaviors, but they are also involved in the development and maintenance of maladaptive behaviors …

Framing Conflict: How Social Media Influences Voter Opinions, May Smith

All Graduate Theses and Dissertations, Fall 2023 to Present

Social media has changed the way we learn about global events. With just a few clicks, people can see powerful images of war and humanitarian crises from around the world. But how do these images, and the way they are presented, affect how people think about political candidates? This study looks at how different kinds of social media content influence voter opinions. Using a survey experiment designed to mimic real Instagram posts, participants were shown content related to the Israel-Palestine conflict. Some posts included only text. Others added data through charts and statistics. A third group saw emotional images of …

An Ant-Colony Approach To Scheduling Charging Sessions Of Electric Vehicle Fleets With Heterogeneous Scheduling Constraints, Derek D. Redmond

All Graduate Theses and Dissertations, Fall 2023 to Present

Electric vehicles and electric-vehicle fleets are gaining widespread usage. A major challenge of managing an electric-vehicle fleet is scheduling when the vehicles can charge and when the vehicles can complete their tasks. Finding smart ways to schedule electric-vehicle charging reduces both the cost of charging vehicles and increases the health of the grid and the environment. This best-of-both-worlds outcome is because of the pricing structure that electric utility companies use. When minimizing the cost of charging the vehicles, it is important to consider that vehicle fleets have constraints on when they can charge. Vehicles are usually limited by the tasks …

From Supercomputers To Desktops: An Interactive And Portable System For Particle In Cell Simulation And Visualization Using Commodity Hardware, Kim Peterson

All Graduate Theses and Dissertations, Fall 2023 to Present

Generating and analyzing visual representations of simulation data in real time (i.e., during execution), has become increasingly important for handling the complexity and scale of modern computational models. Traditionally, this approach has been limited to High-Performance Computing (HPC) environments, leaving some researchers, students and educators without resources to explore cutting-edge simulations and analyses. This work attempts to show that powerful scientific simulations and real-time analysis can be made available by using more easily obtained commodity hardware. This approach may enable a broader participation in the scientific computing discovery process.

In this paper, we explore how advanced simulation and visualization frameworks …

Ecology And Management Of Forest Grouse: Breeding Acoustic Monitoring, Spatial Behavior, And Harvest, Logan Clark

All Graduate Theses and Dissertations, Fall 2023 to Present

Forest grouse are difficult to study and manage in the Intermountain West because they live in remote, rugged areas and do not gather at predictable display sites like other grouse species. From 2023 to 2025, I studied two species, dusky grouse (Dendragapus obscurus) and ruffed grouse (Bonasa umbellus), to test new survey tools, track their seasonal movements, and evaluate hunting impacts.

First, I tested whether small audio recording devices placed in the forest could minimize labor needed for spring breeding surveys. To do this, I conducted traditional surveys with human observers at the same time and …

Using Disposition-Based Tools To Identify Highly Effective Teachers For School Hiring, Matthew W. Dias

All Graduate Theses and Dissertations, Fall 2023 to Present

A principal can impact student learning by hiring great teachers, but identifying great teachers is difficult. The goal of this study was to determine whether using a survey of teacher dispositions would be a useful tool to find effective teachers, in other words, teachers who help students grow academically at high rates. The study included a survey of teachers and a review of their students' academic performance on a reading assessment to see whether there was a correlation between self-reported surveys and student results.

A Focus On Student Education: Determining Student Attitudes Towards Transparent Autograding And Developing Artificially Intelligent Tools To Help Students Succeed, Andra Rice

All Graduate Theses and Dissertations, Fall 2023 to Present

This thesis is composed of two parts both relating to helping students succeed. First, the focus is on determining how we can help students feel more comfortable using an AI tool that can provide them immediate feedback. Second, machine learning algorithms are explored in relation to tracking student tasks to encourage healthy study habits.

The development of effective autograders is key for scaling assessment and feedback. While AI based autograding systems for open-ended response questions have been found to be beneficial for providing immediate feedback, autograders are not always liked, understood, or trusted by students. Our research tested the effect …

Impacts Of 4r Nitrogen Management And Water Optimization On Soil Health, Kamaldeep Kamaldeep

All Graduate Theses and Dissertations, Fall 2023 to Present

Farmers in Utah and Idaho are facing growing challenges due to high fertilizer costs, limited irrigation water, and pressure to improve long-term soil health. To better understand current practices and grower attitudes, a survey was conducted in 2020 targeting 5,000 producers of small grains, corn, and potatoes. Although the response rate was low, 146 growers representing over 25,000 hectares of cropland participated. Survey results showed that most growers are open to improving nitrogen and irrigation practices and care about their soil health, even if not all are fully using 4R or precision agriculture methods.

This thesis includes two field studies …

Temperature Effects On Fruit Doubling And Bloom Prediction In Tart Cherry, Josette M. Moon

All Graduate Theses and Dissertations, Fall 2023 to Present

Tart cherry (Prunus cerasus) is a key horticultural crop in Utah. Extreme summer heat and cold weather in late spring are challenges to tart cherry production causing economic losses. These problematic weather conditions are influenced by the local landscape and are exacerbated by changing climate. This research explores (1) the impact of summer heat stress on fruit deformities, and (2) the accuracy of temperature-based predictions of spring bud development. High temperatures and water stress after harvest are known to cause a deformity known as twin or double fruits, resulting in unmarketable fruit. This disorder has been studied in …

Understanding Hydroclimate In The Contiguous United States: Roles Of Temperature Vs Precipitation And Subtropical Pacific Warming, Grace Esenam Affram

All Graduate Theses and Dissertations, Fall 2023 to Present

This study investigates the physical drivers and mechanisms of hydroclimate variability across the Contiguous United States (U.S.), using a combination of observable data, reanalysis data, land modeling, and coupled climate model experiments. One of the major findings is that the historic 2021 drought event across the Western U.S. was primarily driven by a severe lack of precipitation rather than increased temperatures. The study further finds that anthropogenic forcing has substantially increased the risk of this extreme drought by approximately 26 times relative to a world without the influence.

Additionally, the study reveals that the Pacific Meridional Mode (PMM) characterized by …

Optimization And Utilization Of Microbial Electrolysis Cells In Waste To Product Applications, Hayden Harrison

All Graduate Theses and Dissertations, Fall 2023 to Present

As the world searches for cleaner and more sustainable energy solutions, turning waste into fuel is an increasingly attractive strategy. This research focuses on microbial electrolysis cells, a new technology that uses bacteria and a small amount of electricity to convert organic waste—like food scraps or wastewater—into useful gases such as hydrogen and methane. These gases can be used as energy sources to reduce dependency on more traditional fuels.

This thesis tackles two key challenges that limit the real-world use of microbial electrolysis systems. First, it introduces a simpler and more effective method to stop hydrogen losses in single-chamber cells. …

The Pharmacology Of Gpr171 Ligands In The Treatment Of Pain: An In Vitro And In Vivo Preclinical Characterization, Max V. Mcdermott

All Graduate Theses and Dissertations, Fall 2023 to Present

Opioids are addictive, ineffective for long-term treatment, readily produce withdrawal and tolerance, and can cause overdose and death. These properties have contributed to an epidemic of addiction and overdose, which continues unabated in the United States. Therefore, new drugs to treat acute and chronic pain are needed. Opioids bind to receptors belonging to a superfamily of proteins called G protein-coupled receptors (GPCRs). GPCRs are the most commonly targeted proteins among FDA-approved drugs. As such, under-researched GPCRs are a viable source of new targets in the field of drug development. One such underexplored GPCR is GPR171. Studies have demonstrated that a …