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Articles 3901 - 3930 of 294487

Full-Text Articles in Physical Sciences and Mathematics

Quasi-Einstein Metrics And Homogeneous Conformally Einstein Manifolds, Nazia Valiyakath May 2026

Quasi-Einstein Metrics And Homogeneous Conformally Einstein Manifolds, Nazia Valiyakath

Dissertations - ALL

This thesis investigates a classic question in Riemannian geometry: What is the best metric to put on a Riemannian manifold? It combines two projects that explore different aspects of this question. The first project studies nilpotent and unimodular solvable Lie groups that admit m-quasi-Einstein metrics (M,g,X) with X a left-invariant vector field, which we call totally left-invariant quasi-Einstein metrics. We give a complete classification of nilpotent Lie groups admitting such metrics, showing that this occurs if and only if the group is isomorphic to Heisenberg Lie group. For unimodular solvable Lie groups S, we prove that the existence of a …


Climate Impacts Apple Pollination, Yield And Economic Outcomes Of Farmers, Clémence Riva, Stella Gachoki, Noureddine Adjlane, Danilo Bevk, Yamina Haider, Fani Hatjina, Šimun Kolega, Marin Kovačić, Ioannis Manthos, Zlatko Puškadija, Thomas Sotiropoulos, Bojan Stipešević, Fabrice Requier May 2026

Climate Impacts Apple Pollination, Yield And Economic Outcomes Of Farmers, Clémence Riva, Stella Gachoki, Noureddine Adjlane, Danilo Bevk, Yamina Haider, Fani Hatjina, Šimun Kolega, Marin Kovačić, Ioannis Manthos, Zlatko Puškadija, Thomas Sotiropoulos, Bojan Stipešević, Fabrice Requier

All Peer-Reviewed Publications

Animal-mediated pollination is crucial to global food production but is increasingly threatened by environmental degradation, habitat loss and climate change. The extent to which temperature affects pollination services and crop yields is poorly understood. Using standardised monitoring in 33 apple orchards across Europe and Northern Africa over two years, this study assessed how ambient temperature affects flower visitors, fruit set, fruit quality and economic outcomes. Observation-time warm temperatures increased pollinator abundance, particularly of honey bees, while long-term mean annual temperatures enhanced pollination services for apple weight. Apple yield and the economic benefits to farmers increase with temperature, while the role …


The Role Of Gender And Salient Social Identities In Producing Vulnerability And Maladptation To Flooding In Koraso, Berekum, Ghana, Kingsley Damoah Oppong May 2026

The Role Of Gender And Salient Social Identities In Producing Vulnerability And Maladptation To Flooding In Koraso, Berekum, Ghana, Kingsley Damoah Oppong

Geography ETDs

This paper highlights how social identities like polygamy, illiteracy, and ethnicity hinder rural women farmers in Ghana from adapting to climate change. It advocates for an intersectional approach to address these challenges, moving beyond simplistic gender binaries. Using qualitative interviews (n=49) in a flood-prone village in Berekum, Ghana, the study reveals how these identities intersect with gender roles and colonial legacies, exacerbating vulnerability. It bridges Black feminist thought with climate change, an underexplored area, offering insights into climate change and environmental studies, as well as Black feminist scholarship. This research urges a reevaluation of how we understand climate change in …


Evapotranspiration Everywhere, All The Time: Towards A Unified View From Earth Observation, Joshua B. Fisher, Martha C. Anderson, Diego G. Miralles, Kanishka Mallick, Paul C. Stoy, Youngryel Ryu, Wim G. M. Bastiaanssen May 2026

Evapotranspiration Everywhere, All The Time: Towards A Unified View From Earth Observation, Joshua B. Fisher, Martha C. Anderson, Diego G. Miralles, Kanishka Mallick, Paul C. Stoy, Youngryel Ryu, Wim G. M. Bastiaanssen

Biology, Chemistry, and Environmental Sciences Faculty Articles and Research

Scientists want to know everything, everywhere, and all the time. This is particularly true in Earth science, where we seek to understand processes that span from the molecular to the planetary scale in how the world works, how it affects us, and how we impact it—especially the water cycle. Evapotranspiration (ET) was the last component to be measured in closing the water cycle: for decades, closing the water budget meant adding up all the measurable components, then inferring ET as the residual. Early measurements relied on water loss from pans and weighing lysimeters, followed by sensors inserted into plants to …


Evidence For Environmental Stripping In The Coma Cluster, Richard T. Pomeroy, Juan P. Madrid, Conor R. O’Neill, Alexander T. Gagliano May 2026

Evidence For Environmental Stripping In The Coma Cluster, Richard T. Pomeroy, Juan P. Madrid, Conor R. O’Neill, Alexander T. Gagliano

Physics & Astronomy Faculty Publications

The stability and longevity of globular clusters (GCs) make them effective tracers of the dynamical histories of galaxies in cluster environments. We construct a catalog of 23,351 GC candidates in the Coma Cluster using imaging from the Hubble Space Telescope Advanced Camera for Surveys. We cross-match galaxy data from the SIMBAD, NASA/IPAC Extragalactic Database, and Sloan Digital Sky Survey archives to construct a galaxy sample and model their GC populations using the GC specific frequency. We find several galaxies with significantly smaller GC populations than expected from their luminosities, consistent with either tidal stripping or intrinsically low formation efficiencies. We …


The Influence Of Prosthetic Obturators On Quality Of Life In Individuals With Maxillectomy Defects, Minseok Kim May 2026

The Influence Of Prosthetic Obturators On Quality Of Life In Individuals With Maxillectomy Defects, Minseok Kim

Oral Health

Abstract

Introduction: In recent years, there has been a growing focus on understanding the impact of oral cancer on patients' quality of life. Prosthetic rehabilitation techniques, such as maxillary obturators, often in conjunction with reconstructive surgery, have emerged as interventions to address the challenges posed by post-maxillectomy abnormalities.

Objective: This study aims to systematically review and evaluate the effectiveness of maxillofacial prosthetic rehabilitation using obturators in enhancing the quality of life of patients following maxillectomy.

Methodology: Systematic review of identified literature spanning the timeframe from 2000 to 2020 was used. The comprehensive search encompassed widely recognized databases including PubMed, …


Incorporating Sustainable Strategies And Practices Into The City Improvements Plan Of Madisonville, Kentucky To Better Suit It For The Changing World, Cade R. Howell May 2026

Incorporating Sustainable Strategies And Practices Into The City Improvements Plan Of Madisonville, Kentucky To Better Suit It For The Changing World, Cade R. Howell

Honors College Theses

This project aims to make the case for city improvements in Madisonville, Kentucky by using successful strategies implemented by other cities across the region. These strategies include sidewalk improvements, the installation of roundabouts and parking garages, increased walkability and beautification, and a restructuring of the types of cars predominantly used in the area. The strategies would be implemented from least expensive to most expensive, and in a way that gets the communities involved as much as possible. By using these strategies, Madisonville can better prepare itself for a more sustainable future.


Climate Policy Uncertainty And Housing Prices: Analyzing Bidirectional Transmission Across U.S. Metropolitan Areas, Sourav Batabyal, Alper Gormus May 2026

Climate Policy Uncertainty And Housing Prices: Analyzing Bidirectional Transmission Across U.S. Metropolitan Areas, Sourav Batabyal, Alper Gormus

Finance and Economics

This study examines the relationship between climate policy uncertainty (CPU) and residential housing prices across U.S. metropolitan areas using the U.S. CPU index developed by Gavriilidis in 2021 and monthly S&P CoreLogic Case-Shiller Home Price Indices, covering January 1991 to May 2024. Employing a Fourier-augmented Toda–Yamamoto causality framework that accounts for both abrupt and gradual structural breaks, we document significant CPU → housing prices transmission in multiple metropolitan markets, with bidirectional transmission dynamics emerging in Los Angeles, New York, San Diego, and San Francisco, as well as at the U.S. national level. The results reveal substantial spatial heterogeneity across various …


Increasing Photocatalytic Activity Of Tio₂ Nanocrystals With Cobalt Dopants And Nio Heterojunctions, Lara A. Haack May 2026

Increasing Photocatalytic Activity Of Tio₂ Nanocrystals With Cobalt Dopants And Nio Heterojunctions, Lara A. Haack

Honors Thesis

Carbon emissions and fossil fuel usage has increased dramatically in recent decades, and the need for renewable energy has grown with it. Photocatalytic processes on titanium dioxide (TiO₂) nanocrystals may be used for solar energy driven production of fuel/oxidizer pairs. Many different methods have been developed to increase the effectiveness of TiO₂ in photocatalysis, including dye sensitization, quantum dot sensitization, doping with metals and non-metals, and the surface attachment of cocatalyst materials. Impurity dopants are not susceptible to photo-bleaching or degradation and judicious selection of cocatalyst materials can lead to robust all-inorganic heteronanocrystal photocatalysts: whereas, the use of molecular dye …


Labeling And Describing Objects In A Photogrammetry-Based 3d Environment Using Computer Vision And Artificial Intelligence, Colin Donald Moschella May 2026

Labeling And Describing Objects In A Photogrammetry-Based 3d Environment Using Computer Vision And Artificial Intelligence, Colin Donald Moschella

Capstone Projects

Cataloging and digitizing the objects inside a building manually is a task that is often impractical at scale. This project therefore automates the process, using a custom-made system. Using a photogrammetry-based 3D reconstruction of a room, this system is applied to sequences of 2D images used to make the 3D models. The system applies object detection, image segmentation, and image-text models to identify and describe objects, using CNN based models such as YOLO and OpenCLIP. Each analyzed object is then stored in a structured database with spatial coordinates from the 3D scanning, descriptive attributes from the image-text models, and other …


Determining Cave Presence And Diet Variation Of The Ozark Big-Eared Bat (Corynorhinus Townsendii Ingens) From Guano Dna, Lark E. Sybrant May 2026

Determining Cave Presence And Diet Variation Of The Ozark Big-Eared Bat (Corynorhinus Townsendii Ingens) From Guano Dna, Lark E. Sybrant

ATU Theses and Dissertations 2021 - Present

The Ozark big-eared bat (Corynorhinus townsendii ingens; OBEB) is federally endangered in Arkansas, where it persists in a few small, geographically restricted populations within the Ozark National Forest. Although the region contains many caves that appear suitable for OBEB, expanded survey efforts are needed to locate additional roost sites for monitoring and protection. Effective conservation also requires a clear understanding of their distribution and diet. Traditional cave surveys can be disruptive and often miss cryptic species, and earlier diet studies based on manually sorting prey remains provided only coarse taxonomic resolution and overlooked soft‑bodied insects. To address these …


Distribution, Habitat, And Fish Assemblages Associated With The Rocky Shiner In Arkansas, Savannah L. Wise May 2026

Distribution, Habitat, And Fish Assemblages Associated With The Rocky Shiner In Arkansas, Savannah L. Wise

ATU Theses and Dissertations 2021 - Present

The Rocky Shiner (Notropis suttkusi) is a minnow species endemic to the Red River and its tributaries in southern Arkansas and Oklahoma. This species is petitioned for listing under the Endangered Species Act and is a species of greatest conservation need (SGCN) in Arkansas. However, there is little information for the species’ distribution, habitat use, and ecological niche, especially within the Arkansas portion of its range. Because of this data gap, my study provides an updated description of its distribution and habitat associations using conditional occupancy modeling and explores patterns of species co-occurrence within the community. I sampled …


Development Of Water-Soluble Nanofibrous Poly(Vinyl Alcohol) Collectors For Bioaerosol Sampling And Environmental Surface Microbial Detection, Kevin Crown May 2026

Development Of Water-Soluble Nanofibrous Poly(Vinyl Alcohol) Collectors For Bioaerosol Sampling And Environmental Surface Microbial Detection, Kevin Crown

Theses & Dissertations

Environmental surveillance for pathogenic microorganisms requires sampling technologies capable of efficiently collecting biological particles from air and surfaces for downstream detection.  Current environmental sampling materials, such as fibrous aerosol filters and surface sampling swabs, are designed to capture particles effectively but often retain a portion of the collected material during extraction.  Incomplete recovery reduces the sensitivity of microbiological and molecular detection, particularly in situations where microbiological concentrations are low, such as in environmental monitoring and clearance sampling following biological contamination events.  This dissertation describes the development and evaluation of water-soluble nanofibrous sampling materials designed to improve microbial recovery while maintaining …


Replication And Extension Of Kras-Associated Gene Expression Signatures In Lung Adenocarcinoma: A Cox Proportional Hazards Analysis Of Mutation Status, Gene Expression, Multi-Gene Mutation Count, And Ras De Novo Signature, Camryn Berry May 2026

Replication And Extension Of Kras-Associated Gene Expression Signatures In Lung Adenocarcinoma: A Cox Proportional Hazards Analysis Of Mutation Status, Gene Expression, Multi-Gene Mutation Count, And Ras De Novo Signature, Camryn Berry

Theses & Dissertations

This study evaluates the robustness and reproducibility of a previously published analysis of lung adenocarcinoma gene expression data (Schabath et al.), which examined KRAS-associated biology in relation to co-occurring STK11 and TP53 mutations. The original study used Kaplan-Meier (KM) survival analysis and gene expression signatures to assess associations between driver mutations, tumor suppressor mutations, and patient outcomes. The aim of this work is to replicate these analyses and evaluate consistency across independent datasets (Wilkerson and Selamat), with extension using Cox proportional hazards (PH) models. Two hypotheses are evaluated: (1) that the number of mutated genes increases the hazard of death, …


The Influence Of Fermentation Duration And Secondary Fermentation Conditions On The Bioactive Compound Profile Of Kombucha, Jordan Vereen May 2026

The Influence Of Fermentation Duration And Secondary Fermentation Conditions On The Bioactive Compound Profile Of Kombucha, Jordan Vereen

Honors Theses

Kombucha is a fermented sweet tea produced using a symbiotic culture of bacteria and yeast (SCOBY) and has gained widespread popularity due to its proposed health benefits. Kombucha has been studied to understand these advantages in cardiovascular support, improved metabolism, increased antioxidant effects, enhanced antimicrobial properties, and even potentially slowing the progression of certain diseases. Despite its increasing popularity, the way in which the specific bioactive compounds responsible for these effects and the fermentation conditions that influence their production remain unclear. The present study, conducted in collaboration with Dr. Budner, focuses on quantifying bioactive compounds in kombucha to better understand …


The Legacy Of Lead: Lead Exposure's Harmful Effects And Its Concentration In Poc Communities, Layla Sophronia Barber May 2026

The Legacy Of Lead: Lead Exposure's Harmful Effects And Its Concentration In Poc Communities, Layla Sophronia Barber

Student Theses 2015-Present

This thesis examines the disproportionate burden of lead exposure carried by low income, POC communities. The systemic nature of this problem is a symptom of a longstanding legacy of environmental injustice in the United States. Decades of federal neglect are reflected in the higher statistics of lead exposure and poisoning in predominantly black communities. While it is understood that lead exposure poses a serious threat to physical health and early cognitive development, there is a discouraging lack of urgency to remove the toxin from non-wealthy communities. The material covered by this thesis aims to identify and correct the discriminatory social …


2026 May 7 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University May 2026

2026 May 7 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.


The Prospect Of F.E.W. Resources: How Food, Energy, And Waste Management Workforce Programs Address Global Equity And Sustainability, Quincy P. Biddle May 2026

The Prospect Of F.E.W. Resources: How Food, Energy, And Waste Management Workforce Programs Address Global Equity And Sustainability, Quincy P. Biddle

Student Theses 2015-Present

As a global society, the issues affecting a specific city or country are no longer isolated; instead, they impact other places in myriad ways. Over the past few decades, environmental degradation and economic inequality, both within and between countries, have caused shortages of necessities like food and water, inadequate access to safe energy sources, and increased pollution, impacting people’s prosperity and the well-being of the planet. It is of global interest to remediate these issues for the betterment and progress of society, and thus, an approach to addressing these complications collectively and comprehensively is of utmost importance. This paper investigates …


Secondhand Or Second-Class? Environmental Injustice In Global Textile Waste Trade, Wendy S. Escalante May 2026

Secondhand Or Second-Class? Environmental Injustice In Global Textile Waste Trade, Wendy S. Escalante

Student Theses 2015-Present

This paper addresses the issue of textile waste dumping, specifically how secondhand clothing exports from the Global North create environmental, social, and public health burdens in the Global South. The study focuses on case studies in Chile’s Atacama Desert, where shipments of used clothing overwhelm local waste infrastructures and worsen patterns of environmental injustice. Chapter 1 describes the global flows of textile waste, including trade volumes, landfill accumulation, and the impacts of discarded clothing on ecosystem services such as clean water, fertile soils, and breathable air, alongside health risks from microplastic pollution, toxic runoff, and respiratory hazards from textile fires. …


Solid Waste Management In Greater Khartoum City, Sudan, Roba Mahmoud May 2026

Solid Waste Management In Greater Khartoum City, Sudan, Roba Mahmoud

Student Theses 2015-Present

This study investigates the rising solid waste management (SWM) dilemma in Greater Khartoum City (GKC), a critical environmental and public health issue caused by fast urbanization and inadequate infrastructure, with historical linkages to Sudan's colonial and postcolonial growth. Chapter 1 describes the current problem using quantitative and qualitative data, demonstrating that GKC produces approximately 3,340 tons of waste each day, with 56% organic matter, 8% plastics, and 16% paper. Collection efficiency remains severely poor, at 31.5%. Informal recyclers known as Nakasha or Barkata collect approximately 7% of total waste, supporting roughly 3,900 people, whereas filthy open dumps and unsorted medical …


Stridevision: Automated Detection Of Running Form Deviations From 2d Pose Estimation And Machine Learning, Paulina Eguibar Ortega May 2026

Stridevision: Automated Detection Of Running Form Deviations From 2d Pose Estimation And Machine Learning, Paulina Eguibar Ortega

Honors Theses

Running gait analysis plays a critical role in injury prevention and performance optimization, however, existing approaches often rely on specialized laboratory equipment or wearable sensors with limited interpretability. Recent advances in computer vision, particularly 2D human pose estimation, enable markerless motion analysis from standard video. However, progress remains constrained by the lack of publicly available datasets designed for running form analysis.

In this work, we introduce a preliminary dataset and benchmark for stride-level running gait analysis. The dataset consists of 73 treadmill running videos from 15 participants with varying experience levels, annotated with over 4,600 stride-level labels across multiple biomechanical …


Development And Launch Of Abn: An Adventist Freelance Web Application, Abishur Moses-Pakkianathan May 2026

Development And Launch Of Abn: An Adventist Freelance Web Application, Abishur Moses-Pakkianathan

MS in Computer Science Project Reports

The Seventh-day Adventist community often relies on personal networks and word-of-mouth for Adventist business services. Many of these businesses meet and provide services to their clients primarily through church connections and community recommendations. As the community and businesses grow, traditional networking methods become increasingly difficult to maintain. General marketplaces lack the trust framework shared by Adventists, and faith-based directories are often static or outdated without booking capabilities. Our solution provides a reliable and modern platform for Adventists to create service listings, receive and manage bookings, and connect with faith-aligned clients.


Re: Comment Letter For Old Butte Silver Bow Landfill/Clark Tailings Consolidated Waste Management Area (Ctcwma) Remedy Effectiveness Evaluation Phase I (Conceptual Site Model) (Dated February 27, 2026), Emma Rott May 2026

Re: Comment Letter For Old Butte Silver Bow Landfill/Clark Tailings Consolidated Waste Management Area (Ctcwma) Remedy Effectiveness Evaluation Phase I (Conceptual Site Model) (Dated February 27, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.


Identifying The Cultural Significance Behind Local Study Sites Used By Marine Scientists, Mackenzie Anonick May 2026

Identifying The Cultural Significance Behind Local Study Sites Used By Marine Scientists, Mackenzie Anonick

Honors Theses

This project brings awareness to the cultural significance of places that scientists (specifically marine scientists associated with CCU) study and do field work at. It is important to be respectful of places you work in and understand what environment and land you are working with. It is also important to know your privilege when working in areas of less privilege. For example, CCU students travel to Bucksport on field trips, and the majority of them are not aware of the fact that Bucksport is a largely Black and lower income town that has extreme flooding issues that impact the residents …


Teacher Shortages In Arkansas Rural School Districts: Employed Teacher’S Perceptions Of The Impact On Their Effectiveness, Carloss Guess May 2026

Teacher Shortages In Arkansas Rural School Districts: Employed Teacher’S Perceptions Of The Impact On Their Effectiveness, Carloss Guess

ATU Theses and Dissertations 2021 - Present

ABSTRACT

TEACHER SHORTAGES IN ARKANSAS RURAL SCHOOL DISTRICTS: EMPLOYED TEACHERS’ PERCEPTIONS OF THE IMPACT

ON THEIR EFFECTIVENESS

Carloss Guess

Teacher shortages in rural school districts remain a persistent challenge that affects instructional quality, teacher workload, and professional sustainability. The purpose of this qualitative phenomenological study was to explore how teachers in rural Arkansas perceive the impact of staffing shortages on their instructional roles, workload, and professional well-being. Data were collected through semi-structured interviews with 10 K–12 teachers representing elementary, middle, and high schools and across varying career stages. Interview transcripts were analyzed using an inductive qualitative approach and the constant …


Debriefing In Emergency Departments And Intensive Care Units To Combat Compassion Fatigue, Madison N. Chiolino May 2026

Debriefing In Emergency Departments And Intensive Care Units To Combat Compassion Fatigue, Madison N. Chiolino

ATU Theses and Dissertations 2021 - Present

Compassion fatigue can be associated with nurses working in increased stressful environments such as the Intensive Care Unit (ICU) and Emergency Room (ER).  There is a gap in healthcare facilities, where structured interventions like debriefing tools are not implemented to address compassion fatigue. The purpose of this study was to determine if implementing a debriefing tool in areas where nurses are placed in high stress scenarios such as the intensive care unit and emergency department can aid in combating compassion fatigue. A piloted quantitative pre-and post-survey intervention design was used. Data was collected using the ProQOL 5 and PEARLS debriefing …


Impacts Of Organic Matter On Laser Particle-Size Analysis Of Marsh Sediments, Alexander Powell May 2026

Impacts Of Organic Matter On Laser Particle-Size Analysis Of Marsh Sediments, Alexander Powell

Honors Theses

Grain size analysis (GSA) is widely used in sedimentology and paleoenvironmental reconstruction; however, its utility can be constrained by the presence of organic matter. This study assesses the impact of organic matter through the analysis and comparison of untreated and hydrogen peroxide-treated samples. Organic-rich samples from the Thousand Acre marsh in Georgetown, SC, were subjected to three treatments: untreated, standard, and enhanced. Grain size distribution was measured for each of these treatments using a CILAS 1190 laser diffraction particle analyzer, and organic matter was quantified by loss-on-ignition (LOI). Results show that untreated samples are significantly coarser than treated samples, demonstrating …


Greedy Algorithms And Matroids, Kiri M. Strack May 2026

Greedy Algorithms And Matroids, Kiri M. Strack

LSU Master's Theses

In a connected graph with weights on the edges, a minimum-weight spanning tree can be obtained by repeatedly choosing minimum-weight edges while avoiding choosing the edge set of any cycle. This algorithm is known as Kruskal’s Algorithm, although it was first introduced by Boruvka in 1926. Prim introduced an alternative algorithm in which, at each step, the chosen set of edges forms a connected graph. Both of these algorithms make locally optimal choices that eventually yield a global optimum. This thesis considers how these algorithms can be extended to matroids. In particular, it is shown that matroids are exactly the …


Nutrilog: Design And Development Of A Full-Stack Web Application For Holistic Health Tracking, Jaromir J. Saloni May 2026

Nutrilog: Design And Development Of A Full-Stack Web Application For Holistic Health Tracking, Jaromir J. Saloni

Honors Theses

NutriLog is a web-based fitness and nutrition tracking application designed to help users record, organize, and interpret personal health data in one centralized platform. Many existing applications focus primarily on either nutrition tracking or exercise performance, which can make it difficult for users to understand how food intake and physical activity interact. NutriLog addresses this gap by combining food logging, exercise logging, calorie adjustment, nutrition summaries, and historical tracking into a single dashboard-based interface.

The application was developed using React and TypeScript for the frontend and Supabase for authentication, database storage, and user-specific data management. Nutrition data is supported through …


The One-Shot Ceiling: Comparing Rag And Fine-Tuning Architectures For Ai-Assisted Math Mentoring, Michael J. Cummins May 2026

The One-Shot Ceiling: Comparing Rag And Fine-Tuning Architectures For Ai-Assisted Math Mentoring, Michael J. Cummins

Computer Science Honors Papers

Providing individualized feedback to math students is a resource-intensive bottleneck in STEM education. We present Mentir-AI, a tool designed to elevate teacher capacity by generating high-quality mathematical feedback using the Mathforum's "Problem of the Week" archive. By analyzing a corpus of nearly one million interactions, we compare the efficacy of Retrieval-Augmented Generation (RAG) and Fine-Tuning (FT) architectures. This study details the development of an automated grading pipeline, the evolution of a multi-component system prompt, and the implementation of an automated mentor grading system in AI-led evaluation. While Fine-Tuning demonstrates superior instructional judgement, our results identify persistent failure modes in mathematical …