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Mathematical Model Of Graphene, Douglas M. Sanor Jan 2026

Mathematical Model Of Graphene, Douglas M. Sanor

Williams Honors College, Honors Research Projects

Graphene, a single-atom-thick layer of carbon arranged in a hexagonal lattice, exhibits exceptional mechanical, electrical, and thermal properties that make it a promising material for a wide range of engineering applications. This paper presents a mathematical framework for modeling the mechanical behavior of graphene, with a focus on atomistic-to-continuum approaches. We begin with a onedimensional Frenkel-Kontorova model that represents graphene as a discrete chain of particles interacting with both their nearest neighbors through harmonic spring potentials and an underlying substrate through van der Waals forces. Numerical simulations of this discrete model demonstrate the commensurate-toincommensurate phase transition, revealing how geometric mismatch …


Digging Deep: Food Sovereignty, Belonging & Community- A Systemic Approach, Julie Lynn Gullett Jan 2026

Digging Deep: Food Sovereignty, Belonging & Community- A Systemic Approach, Julie Lynn Gullett

Doctor of Ministry

Set in the rural, agrarian context of Lewis County, Washington, one of the poorest counties in Washington State, this project explores the following NPO: Addressing the concerns of marginalized populations by fostering care of Creation, offers an innovative path to meaningful reciprocal community connections, and a future filled with hope. Drawing on the wisdom and methodologies of Seedpod Farm, my vocational context, a key insight of the Project centered on three interrelated outcomes that my research identified as critical for success: Sovereignty through the development of food skills, belonging through mentoring and cohort relationships, and fostering community connections through service. …


Pressure Field Estimation From 2d-Piv Measurements: A Case Study Of Fish Suction-Feeding, Jensine C. Coggin, Duvall Dickerson-Evans, Erin E. Hackett, Roi Gurka Jan 2026

Pressure Field Estimation From 2d-Piv Measurements: A Case Study Of Fish Suction-Feeding, Jensine C. Coggin, Duvall Dickerson-Evans, Erin E. Hackett, Roi Gurka

Marine Science

Particle image velocimetry (PIV) flow measurements are common practice in laboratory settings in a wide variety of fields involving fluid dynamics, including biology, physics, engineering, and medicine. Dynamic fluid pressure is a notoriously difficult property to measure non-intrusively, yet its variation is a driving flow force and critical to model correctly. Techniques have been developed to estimate the pressure from velocity and velocity gradient measurements. Here, we highlight a novel application of boundary conditions when applying such pressure estimation techniques based on two-dimensional PIV data; the novel method is especially relevant to problems with complex boundary conditions. As such, it …


Gone But Not Forgotten: Collaborative Telemetry Network Provides Insight Into Out-Of-System Movements Of Common Snook, Victoria S. Goldner, Mack White, Cody W. Eggenberger, Alia A. Jones, Cameron C. Atkinson, Jonathan R. Rodemann, W. Ryan James, Jordan A. Massie, Andrea M. Kroetz, Patrick M. O’Donnell, Ross E. Boucek, Rolando O. Santos, Jennifer S. Rehage Jan 2026

Gone But Not Forgotten: Collaborative Telemetry Network Provides Insight Into Out-Of-System Movements Of Common Snook, Victoria S. Goldner, Mack White, Cody W. Eggenberger, Alia A. Jones, Cameron C. Atkinson, Jonathan R. Rodemann, W. Ryan James, Jordan A. Massie, Andrea M. Kroetz, Patrick M. O’Donnell, Ross E. Boucek, Rolando O. Santos, Jennifer S. Rehage

Marine Science

Objective The objective of this study was to examine the movements of Common Snook Centropomus undecimalis, a tropical euryhaline species, out of the Shark River, Everglades National Park, Florida, USA, and gain a better understanding of their long-distance regional movements. Methods This study used 7 years (2017–2023) of acoustic telemetry data from the Shark River Florida Coastal Everglades Array and from five other collaborative telemetry arrays in southwestern Florida to assess out-of-system movements for 119 Common Snook. Generalized linear models were used to assess the relationships between out-of-system movements and biological and environmental variables. Results Most Common Snook departures took …


Investigating The Connection Between Als Through The Mutation R522s In The Rna Binding Protein, Dennia Estrella-Vargas, Lydia Uptain Jan 2026

Investigating The Connection Between Als Through The Mutation R522s In The Rna Binding Protein, Dennia Estrella-Vargas, Lydia Uptain

Mathematics

Amyotrophic lateral sclerosis (ALS) is a fatal disease that causes the deterioration of motor neurons , death is usually due to respiratory paralysis. The variant R522S was chosen because it is near a hot spot of pathogenic variants. It is an arginine-to-serine swap, this swap is present in pathogenic variants near the 522 position, such as R514S, R521S, R524S. Recent evidence suggests that arginine-deficiency can influence disease progression.


Agriculture And Commodities: Commodities Outside The Jurisdiction And Expertise Of The House And Senate Agriculture Committees, Helena Rowe Jan 2026

Agriculture And Commodities: Commodities Outside The Jurisdiction And Expertise Of The House And Senate Agriculture Committees, Helena Rowe

Student Works

No abstract provided.


The Scattering Algebra Of Physical Space: Squared Massive Constructive Amplitudes, Moab Croft, Neil Christensen Jan 2026

The Scattering Algebra Of Physical Space: Squared Massive Constructive Amplitudes, Moab Croft, Neil Christensen

Faculty publications – Physics

The Algebra of Physical Space (APS) is used to explore the Constructive Standard Model (CSM) of particle physics. Namely, this paper connects the spinor formalism of the APS to massive amplitudes in the CSM. A novel equivalency between traditional CSM and APS-CSM formalisms is introduced, called the Scattering Algebra (SA), with example calculations confirming the consistency of results between both frameworks. Through this all, two significant insights are revealed: The identification of traditional CSM spin spinors with Lorentz rotors in the APS, and the connection of the CSM to various formalisms through ray spinor structure. The CSM’s results are …


Classifying Mathieu-Zhao Subspaces In Products Of Cyclic Rings, Sarah A. Huber Jan 2026

Classifying Mathieu-Zhao Subspaces In Products Of Cyclic Rings, Sarah A. Huber

Theses and Dissertations

Mathieu-Zhao subspaces are a generalization of ideals in an algebra and were introduced by Wenhua Zhao in connection to the Jacobian conjecture and its variants. These subspaces have interesting properties, and often the problem of classification is hard. In this thesis, we investigate the structure of Mathieu-Zhao subspaces of the cartesian product of integers modulo powers of a prime p, Zpr × Zps . We will give a complete classification of the subgroups, maximal subgroups, Mathieu-Zhao subspaces, and maximal Mathieu-Zhao subspaces in these rings.


Fuchs' Problem For Quasi-Cyclic Groups, Dalen F. Elliott Jan 2026

Fuchs' Problem For Quasi-Cyclic Groups, Dalen F. Elliott

Theses and Dissertations

Fuchs’ problem asks which groups can arise as the group of units of a ring. Although the finite cyclic case has been completely classified, much less is known in the infinite setting. This thesis contributes to this problem by investigating quasi-cyclic. (Pr¨ufer) groups and their finite direct products. We show that for every odd prime p, there is no commutative ring R such that R×∼= Cp∞. This obstruction arises from characteristic restrictions and the algebraic structure of finite fields. More generally, we prove that any group in which every element has order a power of an odd prime p and …


Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev Jan 2026

Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev

Theses and Dissertations

Multi-drug resistance is an evolutionary process in which treatment eliminates sensitive cells, allowing resistant clones to dominate. This thesis investigates this process using a framework integrating population dynamics, evolutionary game theory, and optimal control theory. We develop a two-population logistic growth model describing competition between drug-sensitive and drug-resistant cells under treatment, construct dose-dependent payoff matrices and replicator dynamics to characterize evolutionary competition, and derive a critical drug level Dcrit = (rS - rR)/(dS - dR) at which resistant cells gain a fitness advantage. An optimal control problem is formulated via Pontryagin's Maximum Principle to identify schedules …


Data-Driven Partitioning In Distributed Optimization For Networked Systems, Prosper Azameti Jan 2026

Data-Driven Partitioning In Distributed Optimization For Networked Systems, Prosper Azameti

Theses and Dissertations

The convergence behavior of distributed optimal power flow (OPF) depends strongly on how the power network is partitioned into regions. Classical graph-based methods such as METIS are widely used, but they rely mainly on static topological criteria and do not explicitly incorporate operating-point-dependent information that may affect distributed optimization performance. This thesis develops a data-driven partitioning framework for distributed OPF using graph neural networks (GNNs). Each OPF scenario is represented as a graph in which buses are nodes and transmission lines are edges. Node and edge features capture both structural and operational characteristics of the network. Partition prediction is formulated …


Summer Seminars General Index The Center For Catholic Studies 1998-2026, Center For Catholic Studies, Seton Hall University Jan 2026

Summer Seminars General Index The Center For Catholic Studies 1998-2026, Center For Catholic Studies, Seton Hall University

Center for Catholic Studies Faculty Seminars and Core Curriculum Seminars

No abstract provided.


Learning Design To Advance Human-Ai Collaboration In K-12 Education, Wing Sha Chan, Jinhee Kim, Seongryeong Yu, Rita Kay Detrick Jan 2026

Learning Design To Advance Human-Ai Collaboration In K-12 Education, Wing Sha Chan, Jinhee Kim, Seongryeong Yu, Rita Kay Detrick

STEMPS Faculty Publications

This chapter explores key components for designing effective Human-AI Collaboration (HAC) in K–12 education, addressing the current lack of theoretical and conceptual frameworks for structuring and implementing HAC in teaching and learning. It examines four essential areas: curriculum design, student and teacher–AI interaction, learning environments, and the evolution of HAC over time. The chapter introduces the concept of HAC in K–12 contexts, highlighting how humans and AI can leverage each other's strengths through co-evolutionary processes that foster mutual learning and collaboration. It reviews current HAC practices in schools and discusses their contributions to both teaching and learning. Finally, it presents …


Utilizing Emergency Management Audio Messages For Traffic Incident Management Performance Measures, Christopher Gartner, Vihaan Vajpayee, Jairaj Desai, Darcy M. Bullock Jan 2026

Utilizing Emergency Management Audio Messages For Traffic Incident Management Performance Measures, Christopher Gartner, Vihaan Vajpayee, Jairaj Desai, Darcy M. Bullock

JTRP Technical Reports

Timely and accurate information regarding roadway incidents is critical for Traffic Management Centers (TMCs) to maintain safety and mobility. While Intelligent Transportation Systems (ITS) cameras and crowdsourced data provide significant visibility, rural interstate corridors often suffer from coverage gaps, or "blind spots," where incidents go undetected until significant queuing occurs. Public safety radio communications serve as the primary coordination method for first responders, creating a "verbal infrastructure" that contains vital information regarding incident location and severity. This study evaluates the feasibility of using Automatic Speech Recognition (ASR) to bridge these gaps by monitoring and analyzing radio traffic. The project developed …


Cit 4833 : Applied Artificial Intelligence Technologies - Llm, Technology Jan 2026

Cit 4833 : Applied Artificial Intelligence Technologies - Llm, Technology

Approved Course Proposals

No abstract provided.


Sed 4335 : Effective Teaching Environments In Secondary Schools, Teaching, Learning, And Foundations Jan 2026

Sed 4335 : Effective Teaching Environments In Secondary Schools, Teaching, Learning, And Foundations

Approved Course Proposals

No abstract provided.


Decomposing Shadow Prices Under Climate-Driven Growth Scenarios: Insights From An Elk Herd Case Study, Ranjit Bawa, Drew Bennett, Wai Yan Siu, Bailey Kirkland, David Finnoff, Jacob Hochard Jan 2026

Decomposing Shadow Prices Under Climate-Driven Growth Scenarios: Insights From An Elk Herd Case Study, Ranjit Bawa, Drew Bennett, Wai Yan Siu, Bailey Kirkland, David Finnoff, Jacob Hochard

ODU Articles

Natural capital accounting provides a framework for integrating ecological processes with economic valuation, but the mechanics of shadow price formation often remain opaque to resource managers and policymakers. Using the Clarks Fork elk herd in northwestern Wyoming as a case study, we decompose the shadow price of natural capital into its ecological, economic, and institutional components. Population dynamics are estimated using a linearized Ricker model and projected forward using a logistic projection, incorporating climate-driven reductions in intrinsic growth rates. These ecological scenarios are linked to a shadow pricing formulation that explicitly accounts for marginal benefits, harvest policy responses, discounting, and …


Agricultural Productivity Under Energy Development: Insights From California, Wai Yan Siu, Sherzod B. Akhundjanov Jan 2026

Agricultural Productivity Under Energy Development: Insights From California, Wai Yan Siu, Sherzod B. Akhundjanov

ODU Articles

This paper examines how agricultural productivity patterns in Kern County, California, a leading region for both agricultural production and oil and gas development, co-vary with the spatial and temporal expansion of hydraulic fracturing and associated energy infrastructure. Using parcel- and county-level analyses, we characterize how agricultural productivity differs across proximity to energy development and across spatial scales. The results reveal spatially heterogeneous and scale-dependent patterns: parcel-level evidence indicates lower Enhanced Vegetation Index-based vegetation productivity within the 20-mile proximity zone around fracking wells, while county-level results show heterogeneous crop-specific yield changes during the post-expansion period. Together, these findings highlight the importance …


Mission Critical: A Mixed-Methods Study On Strengthening The Ninthgrade Trajectory For At-Risk Students, Jennifer A. Skitromo Jan 2026

Mission Critical: A Mixed-Methods Study On Strengthening The Ninthgrade Trajectory For At-Risk Students, Jennifer A. Skitromo

Doctor of Education (Ed.D.)

Many adolescents experience difficulties during the transition to high school, which increases the risk of lower academic achievement, higher absenteeism, and behavioral challenges. This mixed-methods Improvement Science Dissertation in Practice examined how educators at the HSI, a Grade 6–12 magnet school in the Northeastern United States, addressed adult practices that hinder students’ transition to ninth grade. Nine educators participated in an eight-week student-centered meeting protocol designed to strengthen collaboration and support ninth-grade students at risk of falling off track toward on-time graduation. Quantitative data included partial-interval observations of participant engagement, pre- and post-test results from the adapted Teacher Collaboration Assessment, …


Developing Teacher Leaders: The Impact Of Instructional Coaching On Middle School Math Teachers’ Mindsets, Instructional Strategies, And Student Outcomes, Odena Lafreniere Jan 2026

Developing Teacher Leaders: The Impact Of Instructional Coaching On Middle School Math Teachers’ Mindsets, Instructional Strategies, And Student Outcomes, Odena Lafreniere

Doctor of Education (Ed.D.)

This mixed-methods Improvement Science Dissertation in Practice examined the impact of a six-week mathematics-focused instructional coaching intervention on student achievement, teacher practice, and teacher mindset in the middle schools of a small urban district. Guided by the Tennessee Coaching Project and Institute for Learning (TN-IFL) coaching model and the Mathematical Quality of Instruction (MQI) rubric, the intervention supported three mathematics teachers across six cycles, including pre-lesson planning, classroom observation, and postintervention feedback conferences. The researcher compared student achievement and instructional practices of coached teachers with those of eight non-coached peers across Grades 6–8. Quantitative data included weekly district quizzes, mindset …


Rise: Renew, Inspire, Strengthen, And Empower: A Healing-Centered Affinity Space, Elba Llantin-Cruz Jan 2026

Rise: Renew, Inspire, Strengthen, And Empower: A Healing-Centered Affinity Space, Elba Llantin-Cruz

Doctor of Education (Ed.D.)

This Improvement Science Dissertation in Practice (ISDiP) examined the benefits of a healing-centered affinity community for educators from racially and culturally underrepresented groups in Connecticut. A low rate of educators of color (EOC) impact student achievement and engagement outcomes. Higher attrition rates due to toxic working conditions, microaggressions, and invisible labor negatively impact EOC’s sense of belonging and professional growth. Using the Improvement Science Dissertation in Practice (ISDiP) and a qualitative case study methodology, the researcher implemented a six-week healing-centered professional learning affinity space with four educators who identified as Black or Latina to foster belonging, connections, and well-being while …


Completing The Circle: Consultee-Centered Group Consultation As Professional Development To Improve Restorative Practices Implementation In A Middle School, Sara A. Tennyson Jan 2026

Completing The Circle: Consultee-Centered Group Consultation As Professional Development To Improve Restorative Practices Implementation In A Middle School, Sara A. Tennyson

Doctor of Education (Ed.D.)

This mixed-methods Improvement Science Dissertation in Practice (ISDiP) examined the impact of consultee-centered group consultation on educators' knowledge and the frequency of implementation of Restorative Practices (RP) in a middle school setting. Participants included 17 educators with various roles at a suburban middle school in the mid-Atlantic United States: Nine participated in the consultee-centered group consultation, and eight did not. The researcher administered pre- and post-surveys to both groups and examined the results using descriptive statistics. The researcher conducted participant surveys, recorded group consultation sessions, and analyzed journal entries to form qualitative themes. Quantitative findings indicated that the participant group …


Characterizing A Low-Gradient Stream In Central Illinois As Gaining Or Losing And Observing Seasonal Changes In This Behavior, Eric Timothy Brunner Jan 2026

Characterizing A Low-Gradient Stream In Central Illinois As Gaining Or Losing And Observing Seasonal Changes In This Behavior, Eric Timothy Brunner

Theses and Dissertations

While the seasonal behaviors of low-gradient streams have been studied, the behavior of surface water and groundwater interactions within low-gradient streams in glaciated terrain is not fully understood. A third order, low-gradient glacial stream with a saturated riparian buffer in central Illinois was studied to determine the direction of flow between the surface water and groundwater. The goals of this study were to determine 1) whether the stream was gaining or losing water, and 2) whether the gaining or losing nature of the stream-aquifer system changes seasonally. At both an upgradient and downgradient location, two wells were installed: one in …


Symmetry In Latin Hypercubes, Levi Neiburger Jan 2026

Symmetry In Latin Hypercubes, Levi Neiburger

Theses and Dissertations

Let [n] = {1, ..., n}. A hypercube H of order n and dimension d is a d-dimensional array whose nᵈ cells are indexed by [n]ᵈ. A hyperplane in H is obtained by fixing one coordinate, while allowing the remaining d–1 coordinates to vary. We wish to color each cell of H from a palette of nd-1 colors such that each hyperplane is polychromatic.

Our main result is the following. Let n be sufficiently large. There exists a symmetric coloring of the d-dimensional hypercubes of order n whose all hyperplanes are polychromatic if and only if: …


From Deference To Dialogue: How International Gtas From High Power Distance Cultures Adapt To U.S. Classroom Dynamics, Deborah Akua Afi Appiah Jan 2026

From Deference To Dialogue: How International Gtas From High Power Distance Cultures Adapt To U.S. Classroom Dynamics, Deborah Akua Afi Appiah

Theses and Dissertations

International graduate teaching assistants (GTAs) from high power distance cultures play a significant role in undergraduate education at U.S. universities, yet they face challenges that go well beyond language proficiency. Coming from educational backgrounds where teacher authority is unquestioned and hierarchical, these GTAs must navigate American classrooms that operate on fundamentally different assumptions, where authority is earned rather than assumed, informality is the norm, and students expect to question, negotiate, and be personally known by their instructors. The present study examined how eighteen (18) international GTAs from seven (7) high power distance countries perceived and adapted to these differences while …


Predicting Job Performance: The Incremental Validity Of Cognitive Reflection Tests Over General Cognitive Ability And Conscientiousness., Olivia Earll Jan 2026

Predicting Job Performance: The Incremental Validity Of Cognitive Reflection Tests Over General Cognitive Ability And Conscientiousness., Olivia Earll

Theses and Dissertations

Cognitive reflection is the ability to suppress intuitive thinking (Type 1) in favor of deliberative, analytical thought (Type 2). This study investigated cognitive reflection as a predictor of supervisor-rated job performance, exploring its incremental validity over general cognitive ability and conscientiousness. Results indicated that all three variables positively predicted job performance, with cognitive reflection explaining a significant, unique portion of the variance. Exploratory analyses confirmed that this predictive validity remained consistent across industry, age, and sex. Furthermore, cognitive reflection significantly moderated the relationship between general cognitive ability and job performance. These findings highlight the value of deliberative reasoning as a …


Data Defines Success: Algorithm For Dataset Quality Assessment In Deep Learning For Malware Detection, Matei Ionescu Jan 2026

Data Defines Success: Algorithm For Dataset Quality Assessment In Deep Learning For Malware Detection, Matei Ionescu

Theses and Dissertations

The field of artificial intelligence is based upon the premise of constructing architectures through which to propagate training data. However, the majority of existing research literature is focused on architecture. While necessary, the attention devoted to the architecture should not so precipitously exceed that of the data. It should be noted that this disparity is not without reasonable cause. Data quality is often exceedingly difficult to verify due to particularities of the field or subfield; LLM repositories of text are distinct from image recognition pictures of dog breeds which are distinct from EEG waveforms of human brains which are distinct …


Staff Attitudes Toward Ai Adoption At A Private Research University, Ashley C. Smith Jan 2026

Staff Attitudes Toward Ai Adoption At A Private Research University, Ashley C. Smith

Theses and Dissertations

This study addresses the limited research on university staff attitudes toward artificial intelligence use and adoption. Using the Unified Theory of Acceptance and Use of Technology (UTAUT) research framework, the General Attitudes towards Artificial Intelligence Scale (GAAIS), and quantitative survey methodology, the study examines the attitudes of higher education staff toward AI, specifically examining whether demographic or professional characteristics are factors. The findings indicate that staff had moderately negative attitudes toward AI while also expressing some concerns. The results suggest that more resources and support for AI are needed for staff to address concerns. It also suggests that construct-level analysis …


Middle School Students' Initial Ideas And Their Connections In Proportion Word Problems, Carrie Ann Lawton Jan 2026

Middle School Students' Initial Ideas And Their Connections In Proportion Word Problems, Carrie Ann Lawton

Theses and Dissertations

In this dissertation study, I sought to identify the initial ideas that middle school students had when approaching Multiple Batches and Variable Parts proportion word problems, as well as the connections they made among those initial ideas. I conducted semi-structured individual and paired interviews with 13 sixth- and seventh-grade students at the end of their school year. I then used the Knowledge-in-Pieces theoretical perspective to identify knowledge resources that the participants accessed when approaching the tasks, prior to any intervention on my part.

Through my analysis, I identified 18 initial ideas that the middle school students employed when solving the …


Semantic Discovery Of Genomic Datasets With Ai, Lawrence Allibah Jan 2026

Semantic Discovery Of Genomic Datasets With Ai, Lawrence Allibah

Electronic Theses and Dissertations

Traditional keyword-based search in genomic databases often fails to capture the latent semantic context of biological studies, leading to a ``Lexical Gap" in research discovery. This thesis presents a high-performance dual-engine discovery system built upon 10,000 studies. By utilizing 1,536-dimensional vector embeddings, with large language models (LLMs) we implement a search engine coupled with a novel Hybrid Boosting layer that integrates semantic intent with factual metadata. Furthermore, we apply a high-dimensional K-Means clustering algorithm for unsupervised topic discovery. Empirical benchmarking demonstrates that the Hybrid Boosting engine achieves a 38.1% gain in precision and a 41.2% increase in Mean Reciprocal Rank …