Physical Sciences and Mathematics Commons^™

Bayesian Inference For A 12-Level Galton Board Using Terminal Bin Counts, Ace Frieders

Graduate Research Theses & Dissertations

A Galton board is a physical device in which a ball passes through a triangular array of pegs and is deflected left or right before landing in one of several bins. Under an idealized model, deflections are independent with probability 0.5 of moving right, implying a binomial distribution for the terminal bin location. Physical boards may deviate from this ideal due to asymmetries and other sources of bias. This thesis develops a Bayesian model for a 12-level Galton board in which each peg has its own right-move probability. Independent Beta priors are assigned to peg probabilities, and terminal bin counts …

Hallucination Detection In Scientific Writing: Quantification, Trend Analysis And Benchmarking, Adiba Ibnat Hossain

Graduate Research Theses & Dissertations

The landscape of scientific communication has undergone a significant transformation with the emergence and widespread adoption of Large Language Models (LLMs). LLMs have enhanced productivity and creativity in scientific writing, raising serious questions about the faithfulness and reliability of the generated content. A common problem in LLMs is hallucination, which occurs when models generate fluent but inaccurate or inconsistent content. When hallucinations enter scientific writing, the intended meaning may be distorted, coherence disrupted, and the study’s overall integrity threatened.

This thesis investigates hallucinations in scientific writing from both an analytical and dataset-driven approach. First, it offers a comprehensive analysis of …

Simulation And Experiment Of Two-Bunch Wakefield Dynamics And Energy Recovery In Dielectric-Lined Thz Structures, Calcifer Phillips

Graduate Research Theses & Dissertations

Beam-driven structure wakefield acceleration (SWFA) is a proposed method of particle acceleration that produces higher acceleration gradients. This technique could lead to the development of smaller and more efficient particle accelerators. In SWFA, a charged "drive" bunch passing through a dielectric or metallic structure created an electromagnetic "wake" field which can then be used to accelerate a following "witness" bunch. This work studies the effects of structure geometry on wake excitation, presents simulation results of wakefield dynamics in various geometries, and explores how SWFA could be used to achieve higher energy gradients. The use of a circular cross-section structure was …

High-Throughput Strip Clustering On Fpgas For The Hl-Lhc, Hayden Shaddix

Graduate Research Theses & Dissertations

With the advent of the High-Luminosity Large Hadron Collider (HL-LHC), the demand for modern approaches to high-throughput data processing has increased substantially. The HL-LHC will deliver far higher collision rates (pile-up reaching ⟨μ⟩ ∼200), producing a dramatic rise in detector activity and placing significant pressure on real-time reconstruction algorithms. One strategy for meeting this challenge is to leverage commodity hardware such as field-programmable gate arrays (FPGAs) and graphics processing units (GPUs), which can accelerate bandwidth-intensive portions of the reconstruction chain. In particular, FPGAs programmed through high-level synthesis (HLS) offer a promising balance between flexibility and performance, allowing physicists to design …

Beam Dynamics Of Non-Relativistic Proton Bunch Compression In Extreme Space Charge: Setting The Stage For Next Generation Intensity-Frontier Machines, Benjamin Simons

Graduate Research Theses & Dissertations

Next-generation intensity-frontier particle accelerators, such as the proposed Muon Collider and Neutrino Factories, require proton drivers capable of delivering high-intensity, short-pulse bunches. Achieving the required peak currents demands aggressive longitudinal compression, a process fundamentally limited by the extreme repulsive space-charge forces inherent to high-intensity, tightly compressed bunches.

Through the development and use of the FAST/IOTA Bunch Rotation Experiment (FI- BRE) at Fermilab as a dedicated testbed, this dissertation establishes a comprehensive physical design and simulation framework to probe these fundamental intensity limits. By isolating the dynamics of a 2.5 MeV non-relativistic proton beam (β ≈ 0.073) circulating in the Integrable …

Development And Characterization Of Flat And Flexible Rebco Cables For High-Field Accelerator Magnets, Emily Romancew

Graduate Research Theses & Dissertations

High-Temperature Superconducting (HTS) materials are at the forefront of innovation for fundamental particle physics. The next generation of particle accelerators aims to explore higher mass particles and is dependent on the ability to achieve higher fields in the 20–30 T range to keep machine size within a practical footprint. Current magnet technology relies on low-temperature superconductors (LTS) such as NbTi and Nb₃Sn, which are limited to fields of approximately 8–16 T, while high-temperature superconductors (HTS), particularly Rare-Earth Barium Copper Oxide (REBCO), offer a promising pathway toward higher-field magnets due to their ability to carry large currents at elevated magnetic fields. …

A Transmission Electron Microscopy Study Of Structural Design And Modifications Of Li And Na – Ion Battery Cathodes For Performance Optimization, Maksim Andreyevich Sultanov

Graduate Research Theses & Dissertations

The importance of Li ion batteries as an energy storage device cannot be understated. The industry around energy storage has been steadily growing over the last few decades and continues to grow. However, the design of these devices has run into a bottleneck as both academics and industry specialists try to achieve even higher performance parameters, as well as trying to supplement critical materials such as Co, Li and Ni while maintaining cost and energy density. In particular, energy density, capacity retention, thermal and mechanical stability have become very important to improve. These critical parameters within the device are dominated …

Dynamic Aperture Maximization Methods, Kevin J. Hamilton

Graduate Research Theses & Dissertations

Particle accelerators consist of some of the most prolific machines for achieving a long-standing history of successful experiments that have progressed fields such as particle physics, nuclear physics, solid state physics, and medical physics. In recent years, multiple studies have been conducted on how further progress in these fields can be made and the beams physics community has concluded that developing new accelerators to minimize the loss of particles, induce high intensity beams, and remain stable under perturbations is essential to the continued success of physics research. Each of these qualities correspond to finding methods to increase the so-called dynamic …

Rntuple For Atlas Analysis Workflow, Fatima Ariana Rodriguez

Graduate Research Theses & Dissertations

RNTuple is the new data storage format set to replace TTree at the start of the High-Luminosity LHC. An investigation was conducted to evaluate how analysis workflows for ATLAS researchers will change with RNTuple, using reading speed, writing speed, disk space, and memory consumption as metrics. In this study, all metrics were measured using converted RNTuple inputs from ATLAS Open Data, compared to their TTree equivalents. Additionally, RNTuples produced with the LZ4 compression algorithm were generated and compared with those produced using ZSTD. Finally, two new versions of the Analysis Grand Challenge (AGC) using ATLAS Open Data were completed for …

The Effects Of Problem-Based Learning On Mathematical Creativity And Self-Efficacy Of High School Students, Margaret Remus

Graduate Research Theses & Dissertations

Mathematical creativity is recognized as an important component of mathematics education; however, there is limited understanding of how instructional approaches can effectively support this skill among high school students, particularly through problem-based learning (PBL). This study examined the effects of problem-based learning on mathematical creativity among high school students.

This study employed a mixed-methods approach using an alternating treatment design with two groups of participants. Group 1 received the PBL intervention followed by a control condition, while Group 2 received the control condition followed by the PBL intervention. Quantitative data were collected through a mathematical creativity test measuring flexibility, fluency, …

Evaluating Planting Methods For Native Seed Production And Exploring Granivory In The Northern Great Plains, Allison Dollen

Electronic Theses and Dissertations

Temperate grasslands have faced immense losses due to land use change in the last 150 years and less than half of the overall grasslands that once covered North America remain today. A portion of historic and remaining U.S. grasslands are located within the northern Great Plains (NGP) region which is home to over 1,600 species of native plants and provides many ecosystem services and economic benefits. Initiatives to restore grasslands and their ecosystem services are currently underway, but barriers such as limited native seed supply and granivory hinder restoration efforts. My first chapter addresses knowledge gaps in planting methods for …

Quantum Mechanics As A Framework For Data Assimilation And Its Application To Atmospheric Parameterization, David Freeman

Dartmouth College Ph.D Dissertations

Quantum mechanics, as a mathematical system, can be understood as a generalization of classical probability theory. Quantum Mechanical Data Assimilation (QMDA) is a method in which classical dynamical systems are embedded into a quantum mechanical setting, with an associated data assimilation scheme leveraging the operator algebraic setting. In this dissertation, the algebraic structure underlying the operator theoretic formulation of QMDA is discussed. A procedure for closure of dynamical systems based on QMDA, known as Quantum Mechanical Closure (QMCl), is then constructed, and the procedures for constructing the quantum embeddings and implementing QMCl in practice are laid out and implemented for …

Fifty Years Of Research In The Commonwealth Of The Bahamas: A Quantitative Thematic Analysis Of Scholarly Output, Amina Moss, Krista D. Sherman, Williamson Gustave, Kathleen Sullivan Sealey, Charlotte Dunn, Nicola Simone Smith, Lindy Knowles, Christy Gibson

Gulf and Caribbean Research

This study presents the first longitudinal bibliometric mapping of peer—reviewed research on The Bahamas, analyzing 12,113 Web of Science records (1975–2025) using CiteSpace v.6.4.R2. We identified 36 co—citation clusters (modularity Q = 0.7967; silhouette = 0.9231) and 28 keyword clusters (Q = 0.7523; silhouette = 0.8695), revealing 8 thematic trajectories over 5 decades. Early research (prior to 1990) focused on carbonate geology and sea—level dynamics across the northwestern Bahama Platform and Blake—Bahama Basin (Cluster#0, silhouette = 0.939). From the 1990s–mid—2000s, attention shifted to marine fisheries, Aliger gigas, coral reefs, and ecological resilience (Cluster #1, n = 203). In the …

Cybercrime, Vulnerability And Digital Guardianship: Opportunity Structures And Prevention In A Changing Online Landscape, Mike Toro-Alvarez, Amy Lim

International Journal of Cybersecurity Intelligence & Cybercrime

No abstract provided.

Analyzing Modern Scam Typologies: From Pig-Butchering And Nigerian Advance-Fee Fraud To Crypto Airdrop Schemes, Katalin Parti, Sinyong Choi, Thomas Dearden

International Journal of Cybersecurity Intelligence & Cybercrime

Rapid advancements in digital infrastructure and decentralized networks have fundamentally altered the nature of contemporary cybercrime, making comprehensive empirical and technical analysis more crucial than ever. To address these challenges, this editorial summarizes the research contributions featured in this issue of the International Jour nal of Cybersecurity Intelligence and Cybercrime. The included papers examine the structural on-chain dynamics of sanctioned pig-butchering operations, the representational production and AI-driven evolution of the “Nigerian scam” label, the critical transaction-authorization factors driving losses in crypto airdrop schemes, and the optimization of sentence-transformer models for automated Host Intrusion Detection System (HIDS) alert enrichment. Together, these …

Three-Tier On-Chain Transaction Architecture In A Sanctions-Linked Pig-Butchering Network: A Blockchain-Forensics Case Study, Matthew Stern, Kyung-Shick Choi

International Journal of Cybersecurity Intelligence & Cybercrime

n October 2025, the U.S. Department of the Treasury’s Office of Foreign Assets Control (OFAC) sanctioned 29 Bitcoin addresses asso ciated with the Prince Group and Chen Zhi, providing an opportunity to examine the internal on-chain structure of a sanctions-linked pig-butchering network. This blockchain-forensics case study analyzes the group of 29 addresses using blockchain tracing, cross-plat form attribution checks across multiple commercial analytics platforms, exposure screening, and thematic analysis of transaction be havior. Because the case rests on OFAC designations and DOJ allegations, the traced flows are interpreted as patterns consistent with suspected laundering rather than adjudicated crimes; no fiat …

Attribution Post ‘Aura’ Loss: A Qualitative Discourse Analysis Of The Nigerian Scam Label And Fraud Attribution, Emaediong Akpan

International Journal of Cybersecurity Intelligence & Cybercrime

In this essay, I employ qualitative discourse analysis of eleven purposively selected literature to examine how “Nigerian scam” became an established yet detached signifier of advance-fee fraud in global discourse. I do not treat this association as a reflection of offender identity or national inclination. Instead, the analysis traces how attribution is produced through representational repetition, institu tional uptake, and the circulation of familiar narrative cues. Using qualitative discourse analysis and an interpretive approach, this paper distinguishes among the socio-technical conditions that enable fraud, the institutional processes that stabilize attribution, and the semiotic dynamics through which national categories acquire durability. …

Improving The Quality Of Physics Practice, Wyatt W. Thompson

All Graduate Theses, Dissertations, and Other Capstone Projects

This case study started with personal observations and experiences. As a lab teaching assistant, I observed on many occasions that students do not like their current homework platforms, often venting to me about their frustrations during lab time. As a student, I shared similar sentiments with them. To develop a possible solution to these observations, a theory of reasoning was chosen as the foundation. The heuristic-analytic theory of reasoning (HATR) suggests that people present an epistemic model (beliefs and ideas about a phenomenon) through a heuristic process (generation from memory) and engage in an analytic process to validate the epistemic …

An Analysis Of Slms For Machine Translation Of Healthcare Documents, Wyatt Clausen

All Graduate Theses, Dissertations, and Other Capstone Projects

The language barrier creates significant healthcare challenges for patients who struggle with English. While large language models (LLMs) have advanced machine translation, their high computational costs, environmental impact, and risk of data breaches have raised concerns. Small language models (SLMs) can address these concerns and be further adapted to specific tasks through parameter-efficient fine-tuning (PEFT) methods, including Quantized Low-Rank Adaptation (QLoRA). This study compares the Spanish-to-English translation quality of two 7-billion-parameter SLMs, Mistral and Llama 2 7B, in the medical domain, using BLEU, chrF, and COMET as evaluation metrics. It further investigates whether QLoRA fine-tuning and Retrieval-Augmented Generation (RAG) on …

A Comparative Analysis Of The Ecophysiology Between The Invasive Macroalgae Starry Stonewort And The Native Macroalgae Chara To Predict Invasion Potential, Thomas J. Zellmer

All Graduate Theses, Dissertations, and Other Capstone Projects

Starry stonewort (Nitellopsis obtusa) is an invasive macroalga from Eurasia. Currently, starry stonewort’s invasive range consists of the upper Midwest and Great Lakes region, including the Mississippi River. Starry stonewort poses recreational and ecological problems by forming dense canopies that extend through the water column. Starry stonewort occupies a late-season niche space with dense biomass occurring in late July and persisting well into autumn. There is a lack of information on the ecophysiology of starry stonewort. In this study, two populations of starry stonewort, Minnesota and New York, were analyzed to compare regional differences in ecophysiology, along with chara (native …

Statistics 103a Instructor Guide, Elizabeth R. Wentworth

Open Educational Resources

This set of slides contains reading, original videos, activities and instructions for instructors to run a complete 12 week course in any modality. These resources can be used to supplement in-person instruction or can be used for either a hybrid or asynchronous course.

A Sustainable & Universal Redesign Of Hickory Hill Park In Richmond, Virginia, Ren Hollis, Cynthia Lin, Kira Miller, Jackson Nivera, Patrick O’Shea, Corinne Tsou, Hayston Wines

UROP Posters

Urban green spaces provide essential environmental, psychological, and physical benefits, yet access to these resources is often inequitable. Cities are increasingly vulnerable to climate change, highlighting the need for adaptive design. This study focuses on the redesign of Hickory Hill Park in Southside Richmond, selected through a combination of site suitability analysis and qualitative survey. The guiding research question is: How can a park in Richmond be designed to optimize environmental resilience, accessibility, and community benefits?

The selection of a research location and scope used a mixed-methods approach integrating spatial analysis, environmental assessment, and community engagement. A site suitability analysis …

A Mixed-Methods Study Of K–12 Educators’ Perceptions And Use Of Artificial Intelligence Across Multiple Settings: Personal, Professional, And Classroom, Christopher M. Casal

Selected Full Text Dissertations, 2011-

How U.S. K-12 educators perceive and use artificial intelligence (AI) is an emerging field of research as most existing research originates from Europe and Asia, often focused on higher education. This mixed-methods study examines U.S. K-12 educators’ perceptions of AI across three settings; personal, professional, and direct instruction, along with factors influencing acceptance, or resistance, and strategies to support integration. An anonymous survey, administered in the Spring of 2026, yielded 79 responses, primarily from suburban public school educators in the New York City vicinity. Quantitative data were analyzed, and open-ended responses were thematically coded. One of the most notable findings …

Delaying Cancer Progression By Integrating Toxicity Constraints In A Model Of Adaptive Therapy, Jana L. Gevertz, Harsh Vardhan Jain, Irina Kareva, Kathleen P. Wilkie, Joel Brown, Yitong Pepper Huang, Eduardo Sontag, Vladimir Vinogradov, Mark Davies

Mathematics Sciences: Faculty Publications

Cancer therapies often fail when intolerable toxicity or drug-resistant cancer cells undermine otherwise effective treatment strategies. Over the past decade, adaptive therapy has emerged as a promising approach to postpone emergence of resistance by altering dose timing based on tumor burden thresholds. Despite encouraging results, these protocols often overlook the crucial role of toxicity-induced treatment breaks, which may permit tumor regrowth. Herein, we explore the following question: would incorporating toxicity feedback improve or hinder the efficacy of adaptive therapy? To address this question, we propose a mathematical framework for incorporating toxic feedback into treatment design. We and that the degree …

A Systems Analysis Of Long-Term Community Recovery Following The 2023 Lāhainā Wildfire: Understanding Recovery As A Complex Adaptive Social-Ecological System, Christy Shaver

Antioch University Dissertations & Theses

No abstract provided.

Summer Research Fellowship Project Descriptions 2026, Clark Science Center's Summer Research Fellows Program

SURF Abstracts (Women in Science)

A summary of research done by Smith College’s 2026 Summer Research Fellowship (SURF) Program participants. Ever since its 1967 start, SURF has been a cornerstone of Smith’s science education. Supervised by faculty mentor-advisors drawn from the Clark Science Center and connected to its eighteen science, mathematics, and engineering departments and programs and associated centers and units. At summer’s end, SURF participants were asked to summarize their research experiences for this publication.

The Future Of Monetary Federalism: Rethinking Supremacy In The Stablecoin Era, Richard H. Fair

American University Business Law Review

[INTRODUCTION] In the summer of 2023, the State of Wyoming enacted a law authorizing its state treasurer to issue a blockchain-based, state-backed digital stablecoin known as the Wyoming Stable Token (“WYST”). Two years later, Congress passed the Guiding and Establishing National Innovation for U.S. Stablecoins Act (GENIUS Act, GENIUS, or the Act), moving to establish a comprehensive federal regulatory regime for stablecoins. These dueling initiatives have sparked more than regulatory confusion; they have set the stage for a structural clash between state financial innovation and federal monetary supremacy. At the heart of this confrontation lies a question that the Constitution …

A Proposed Tort To Address The Negligent Enablement Of Cloud Data Breaches, Michael L. Rustad

American University Business Law Review

[INTRODUCTION] The term “cloud computing” means the remote storage of software applications, tools, and data accessed through the internet. Cloud customers enter into subscription agreements with providers who give 24/7, on-demand, as-needed access to software, storage, and networking services owned and managed by providers through a web browser. “Many businesses are transitioning to the cloud for data storage, remote work, and collaboration.” Cloud providers operate their software as a software-as-a-service (“SaaS”) model, under which customers pay a subscription fee to access the software. Netflix and Amazon Prime Video are examples of subscription services that deliver television programs and videos through …

Financial Literacy And Inclusion Of Philippine Jeepney And Tricycle Drivers, Bryan N. Bernabe, Jyro B. Triviño

Leadership and Strategy Faculty Publications

The study investigated how the different elements of financial literacy influence the financial inclusion of jeepney and tricycle drivers in Caloocan, Metro Manila. Pearson correlation analysis revealed a positive correlation between financial inclusion and attitude, behavior, knowledge, and skills. Additionally, analysis of variance highlighted that education and age play significant roles in enhancing financial literacy. The linear regression findings also supported the idea that income acts as a positive moderator, augmenting the impact of financial literacy on financial inclusion. The study attempted to disaggregate its financial literacy components to understand their impact on financial inclusion, but its interrelationships also require …

Machine Learning Prediction Of Federal Appellate Court Outcomes: A Multi-Circuit Analysis With Administrative Law Implications, Nicky Nuertey Apenahier

Dissertations and Theses

Federal appellate courts are the final arbiters in many cases, yet systematic machine learning analysis across all twelve circuits remains largely absent from the computational law literature. With courts of appeals deciding tens of thousands of cases annually and the Supreme Court reviewing only a fraction, understanding what predicts reversal outcomes has both theoretical importance and practical consequences for litigants, attorneys, and judicial administrators. This study addresses that gap using eleven years of federal appellate decisions from the Federal Judicial Center’s Integrated Database. A systematic comparison of twenty-five machine learning models, spanning five algorithms and five class-imbalance correction strategies, identifies …