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Articles 3241 - 3270 of 292823
Full-Text Articles in Entire DC Network
A Study Of The Links Between Denudation, Lithology, And Tectonics In The Tropical Andes, Helbert Garcia-Delgado
A Study Of The Links Between Denudation, Lithology, And Tectonics In The Tropical Andes, Helbert Garcia-Delgado
Dissertations - ALL
Landscape evolution in the tropical Northern Andes is governed by complex interactions between tectonic deformation, climatic shifts, and bedrock lithology. Standard geomorphic models often struggle to capture the full spectrum of these processes, particularly in active orogens where topographic steady state is frequently challenged by variable sediment dynamics and deep weathering. Understanding how these factors dictate landscape responses over different timescales is critical for interpreting the relationship between landscape evolution and surface processes of tropical mountain belts. This dissertation utilizes a combination of cosmogenic nuclide dating, numerical modeling, and subsurface borehole analysis to examine the structural, climatic, and lithological controls …
Development Of Dual-Stimuli Responsive Polymer-Coated Gold Nanoparticles And Their Surface Engineering Via Polyelectrolyte Layer-By-Layer Assembly, Buddhini Chathurangi Nugaduwa Vithanage
Development Of Dual-Stimuli Responsive Polymer-Coated Gold Nanoparticles And Their Surface Engineering Via Polyelectrolyte Layer-By-Layer Assembly, Buddhini Chathurangi Nugaduwa Vithanage
Dissertations - ALL
The modification of nanoparticles with combinations of low critical solution temperature (LCST) polymers and polyelectrolyte (PE) layers is studied. Three n-isopropylacrylamide-co-acrylamide polymers were synthesized in which charges could be varied from neutral, to negative or positive by way of incorporating poly acrylic acid (pAAc) or poly 4-vinylpyridene (p4VP) units. Polymerization centered around a disulfide initiator, which when reduced produced two polymer chains and a convenient linkage to gold NPs (NPs). The resulting LCST-NPs conjugates possessed sharp phase changes at critical temperatures (TC), while the incorporation of pAAc or p4VP allowed for tuneable charges and pH sensitivity. Studies with 1H-NMR and …
Quasiparticle Poisoning Of Superconducting Fluxonium Qubits, Kesavan Manivannan
Quasiparticle Poisoning Of Superconducting Fluxonium Qubits, Kesavan Manivannan
Dissertations - ALL
Superconducting qubits based on Josephson junctions have emerged as a leading hardware platform in the quest to realize large-scale quantum computers. However, qubit decoherence remains a major hurdle on the path toward fault-tolerant quantum computing. In particular, excess quasiparticle (QP) excitations constitute a significant source of dissipation in superconducting quantum devices. The empirically observed QP density in these systems is orders of magnitude larger than that predicted by Bardeen-Cooper-Schrieffer (BCS) theory. Moreover, QP poisoning due to high-energy particle impacts can cause correlated errors that simultaneously affect multiple qubits, thereby impeding quantum error correction. Although QP-induced decoherence has been extensively studied …
Mapping The Rigid Landscapes Of Disordered Networks And Active Solids, Tyler Hain
Mapping The Rigid Landscapes Of Disordered Networks And Active Solids, Tyler Hain
Dissertations - ALL
Biological systems are able to exhibit remarkable and exotic mechanical properties by tuning their microscopic internal degrees of freedom in order to accomplish global functions. One of the most interesting mechanical behaviors of some such materials is the ability to transition between stiff solid-like states and soft fluid-like states in order to initiate specific flow patterns or tune their mechanical response. Not only this, but they are able to selectively cross this transition while also being optimized for other functions. In this dissertation I explore numerical and analytical methods for mapping the landscapes of states on the edge of rigidity …
Characterizing Capacitance Of Josephson Junctions For Quantum Devices, Bradley Gordon Cole
Characterizing Capacitance Of Josephson Junctions For Quantum Devices, Bradley Gordon Cole
Dissertations - ALL
The field of quantum computing is growing at a rapid rate with the promise of dramatic improvements in the ability to solve critical computational problems. A leading approach for implementing fault-tolerant quantum computers is based on superconducting circuits containing Josephson junctions to form qubits. These qubits have many attractive qualities, but predicting the device performance requires detailed knowledge of the junction properties. Thus, precise characterization is crucial for realizing different qubit designs. The coherence of superconducting qubits is limited by several sources in the circuit en- vironment. Building a quantum computer requires effort to reduce gate errors caused by decoherence. …
Quasi-Einstein Metrics And Homogeneous Conformally Einstein Manifolds, Nazia Valiyakath
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
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 …
Evidence For Environmental Stripping In The Coma Cluster, Richard T. Pomeroy, Juan P. Madrid, Conor R. O’Neill, Alexander T. Gagliano
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
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
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
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
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
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 …
Distribution, Habitat, And Fish Assemblages Associated With The Rocky Shriner In Arkansas, Savannah L. Wise
Distribution, Habitat, And Fish Assemblages Associated With The Rocky Shriner 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 …
Determining Cave Presence And Diet Variation Of The Ozark Big-Eared Bat (Corynorhinus Townsendii Ingens) From Guano Dna, Lark E. Sybrant
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 …
The Influence Of Fermentation Duration And Secondary Fermentation Conditions On The Bioactive Compound Profile Of Kombucha, Jordan Vereen
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
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
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
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
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
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 …
Emaldi Ms And Oligonucleotide Analysis, Manoj Perera, Yipeng Yin, Reed Arneson, Fakhira Razzaq, Rishabh Awasthi, William Wittstock, Yinan Yuan, Shiyue Fang
Emaldi Ms And Oligonucleotide Analysis, Manoj Perera, Yipeng Yin, Reed Arneson, Fakhira Razzaq, Rishabh Awasthi, William Wittstock, Yinan Yuan, Shiyue Fang
Michigan Tech Publications
Enhanced matrix assisted laser desorption ionization mass spectrometry (eMALDI MS) refers to MALDI MS in which the efficacy of desorption and ionization is enhanced by heat, volatile species, or both, generated from chemical decomposition of additives in the sample of analyte under MALDI conditions. MALDI MS has been widely used for oligonucleotide (ON) analysis. However, two challenges, limited ability to analyze long ONs and low tolerance to trace salts, significantly restrict its applications. We recently proposed the ion pair thermal model for the gas phase ion formation mechanism of MALDI MS. This model predicts an exponential increase in ion yield …
Development And Launch Of Abn: An Adventist Freelance Web Application, Abishur Moses-Pakkianathan
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.
Identifying The Cultural Significance Behind Local Study Sites Used By Marine Scientists, Mackenzie Anonick
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 …
Greedy Algorithms And Matroids, Kiri M. Strack
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 …
Teacher Shortages In Arkansas Rural School Districts: Employed Teacher’S Perceptions Of The Impact On Their Effectiveness, Carloss Guess
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
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
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 …
Nutrilog: Design And Development Of A Full-Stack Web Application For Holistic Health Tracking, Jaromir J. Saloni
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
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 …