Physical Sciences and Mathematics Commons^™

From Counting To Advanced Math: How Five Simple Axioms Shape The Mathematical Landscape, Joy Skaggs

ATU Scholars Symposium

In the late nineteenth and early twentieth centuries, mathematics faced a foundational crisis: Greog Cantor’s set theory led to an interesting self-referencing paradox in math and questions about the logical consistency of mathematics. From this crisis, two opposing viewpoints emerged: the Formalists and the Intuitionists. The Formalists praised Cantor’s work as a way to place math on a secure logical foundation, ensuring the discipline’s purity, however the Intuitionists despised Cantor’s work and heralded Cantor as a charlatan and corrupter of the youth. The leader of the Formalists, David Hilbert, proposed a formal system of rigorous proofs to build a complete …

Roomiq, Po Kya, Eh Paw, Nicole Holt, Riley Lindsay

ATU Scholars Symposium

1. RoomIQ is a smart room scheduling system designed to replace the current booking process for Corley Room 230 at Arkansas Tech University (ATU). The existing system presents challenges in efficiency, accessibility, and real-time coordination. Our goal is to deliver a user-friendly, real- time coordinated reservation solution that improves both functionality and overall user experience. The system will operate on an iPad Mini mounted outside the room, allowing users to instantly check availability and reserve the space on-site. This provides a convenient solution for immediate scheduling needs. In addition, a QR code displayed at the entrance will allow users to access …

Blazewatch: A Web-Based Management System For Volunteer Fire Departments, Michael J. Heinzen, Locke G. Weisler, Hunter S. King, Ryan N. Williams

ATU Scholars Symposium

BlazeWatch is a web application developed for rural volunteer fire departments. Volunteer fire departments often rely on manual processes and paper records systems to manage district fire dues, emergency call documentation, and equipment tracking. These inefficiencies can increase administrative workload and reduce efficiency. BlazeWatch is a secure full-stack web application designed to streamline administrative management for volunteer fire stations while providing a public-facing interface for general department information as well as a way for users to pay their fire dues. The system is built using an Angular frontend and a .NET backend with Identity-based authentication to ensure secure access control. …

Memorra: A Mobile-First Reminder Application For Personal And Social Event Management, Aaron Ngo, Caden Cash, Asher Wise

ATU Scholars Symposium

Memorra is a mobile-first reminder application designed to help individuals manage important dates and social commitments in a secure and reliable manner. Many users—including older adults, students, working professionals, and individuals experiencing cognitive overload—struggle to consistently remember birthdays, anniversaries, deadlines, and other significant events amid demanding schedules. To address this challenge, Memorra provides a centralized platform for managing reminders and organizing events with timely push notifications. The system architecture employs Flutter and Dart for cross-platform mobile development, supported by Firebase services—including Firestore, Authentication, Hosting, and Cloud Messaging—for backend functionality, real-time data management, and notification delivery. Secure user authentication, encrypted data …

Moneyup: A Predictive Financial Management System For College Students, Isaiah J. Adams, Malaya E. Wilburd, Dan V. Le, Joshua P. Golden

ATU Scholars Symposium

College students often lack accessible tools that combine real-time financial tracking, mobile accessibility, predictive analytics, and secure system design, leaving many without structured insight into their spending behavior. MoneyUP is a full-stack financial management platform developed to address these challenges through a secure, data-driven budgeting system deployed as both a web application and a cross-platform Flutter mobile application. The system integrates the Plaid API in its Sandbox environment to synchronize simulated banking data for secure testing without exposing live financial credentials. Transaction data is processed and stored using Supabase with a relational PostgreSQL database structured to enforce normalization, referential integrity, …

Llm-Based Stock Sentiment And Market Intelligence Platform, Joshua Thrower, Andrew Pinkerton, Ian Duggan, Wyatt Lester

ATU Scholars Symposium

Financial markets increasingly react to social media discourse, yet investors lack tools to translate this unstructured commentary into measurable indicators. Platforms such as YouTube host extensive discussions about publicly traded equities, but extracting reliable sentiment trends from high-volume, noisy comment streams remains technically challenging. This project develops a stock sentiment and market intelligence platform that transforms YouTube comment data into aggregated sentiment indicators aligned to specific equities. Comments are mapped to equities using ticker specific keyword identification combined with contextual filtering to reduce false associations from ambiguous or off-topic mentions. The system assigns numerical sentiment scores to individual comments and …

Use Of Basal Tree Cavities By Sylvilagus Aquaticus In Central Arkansas, Heath R. Williams

ATU Scholars Symposium

Basal tree cavities are hollow structures at the base of tree trunks utilized by many wildlife species, including small mammals, furbearers, and bats. Dumyahn and Zollner (2010) demonstrated that swamp rabbits (Sylvilagus aquaticus) use basal tree cavities and speculated that they may be used for thermoregulation at the northern limits of their geographic range or as alternative escape routes. To further investigate swamp rabbit use of basal tree cavities, we placed camera traps approximately 1 m from the entrance of the cavities (n = 43) in various Wildlife Management Areas in central Arkansas. Along with control sites without cavities (n=25), …

2026 April 9 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.

Comparison Of Anomaly Detection Methods On Event-Based Vision Sensor Data In A High Noise Environment, Will Johnston, Anthony L. Franz, Shannon R. Young, Rachel Oliver, Zachary Theis, Brian Mcreynolds, Michael L. Dexter

Faculty Publications

Event-based vision sensors (EVSs) provide unique frequency analysis opportunities due to their event data output and high temporal resolution. Anomaly detection methods used in hyperspectral analysis can be used on the event frequency spectra to detect targets. However, the introduction of a strong, flickering interfering source can reduce the EVS sensitivity and obscure targets of interest. Previous work presented a method showing that targets could still be detected through an overwhelming source using frequency analysis, background suppression, and statistical filtering. This paper extends that research and compares the ability of five different eigenanalysis anomaly detection methods (principal component background suppression …

Physics-Informed Neural Network Solution Of The 2d Helmholtz Equation With A Gaussian Source, Theodoros Panagiotakopoulos, Chris Velissaris, Aristotelis Nikolaos Rapsomanikis

Faculty Scholarship and Creative Works

We present a physics-informed neural network (PINN) framework for solving the complex-valued two-dimensional Helmholtz equation with a localized Gaussian source and spatially varying permittivity. Starting from Maxwell’s equations, the frequency-domain scalar Helmholtz formulation under transverse electric (TE) polarization is derived and enforced directly within the neural network loss function. The model employs a sinusoidal representation network (SIREN) architecture to capture the oscillatory nature of wave solutions and incorporates the Sommerfeld radiation condition to impose open boundary conditions. Training is performed using a hybrid collocation strategy combined with a two-stage optimization procedure consisting of Adam followed by L-BFGS. Numerical experiments in …

Aiw26s: Applied Llms, Chengjie Zheng

Paul English Applied Artificial Intelligence (AI) Institute Publications

This workshop introduces the concept of applied large language models (LLMs), focusing on how users can move from simple prompt-based interaction to building structured, repeatable AI-driven workflows. Participants explore how AI enables faster prototyping, lowers barriers to entry, and expands who can participate in building technology. Through a hands-on demonstration, attendees learn how to transform raw inputs into meaningful outputs such as summaries, key concepts, and actionable steps. The session emphasizes the importance of clear problem definition, iterative refinement, and critical evaluation when working with AI systems.

Extremal Connectivity In Graphs And Matroids, Yiwei Ge

LSU Doctoral Dissertations

Connectivity is a central theme in both graph theory and matroid theory. This dissertation investigates extremal connectivity in graphs and matroids, with emphasis on unavoidable structures and minimal connectivity phenomena.

Chapter 2 introduces cycle-contraction minors of graphs and investigates their structural properties. We establish a connection between cc-minors and induced subgraphs via graph duality. The main result gives an unavoidable-families characterization for cc-minors of sufficiently large loopless $2$-connected graphs.

Chapter 3 studies super-minimally $3$-connected graphs, namely $3$-connected graphs that have no proper $3$-connected subgraphs. We establish extremal bounds on structural parameters of these graphs, including the minimum number of degree-$3$ …

Ideals And Lattices In Number Fields, Sarah Ali Saeed Alyammahi

Thesis/ Dissertation Defenses

This thesis investigates algebraic number fields and their rings of integers, which generalize the ring of integers Z in Q. The study focuses on ideals, units, and ideal class groups, which describe the arithmetic structure of number fields and the failure of unique factorization. Key invariants such as the norm, trace, and discriminant are developed and applied, with particular emphasis on quadratic number fields and classical examples such as the Gaussian and Eisenstein integers. Some explicit computations of ideal class groups are carried out. The thesis also explores connections with lattice theory by interpreting rings of integers as lattices and …

Digital Transformation And Market Microstructure: Analyzing The Impact Of Algorithmic Trading On National Stock Exchange Of India Price Discovery Mechanisms Through Complex Systems Theory., Mukesh Bhaskar Ahirrao, Harshal Anil Salunkhe, Vishal Sunil Rana

Northeast Journal of Complex Systems (NEJCS)

Abstract

This research examines the evolution of market microstructure at the National Stock Exchange of India (NSE) from 2020 to 2024, a period characterized by substantial growth in algorithmic trading from 35% to 44% of total trading volume. Using market microstructure data and analytical techniques grounded in complex systems perspectives, the study documents temporal patterns in price discovery, liquidity, volatility, and market efficiency associated with this digital transformation.

The analysis reveals several notable changes in market characteristics. Transaction costs improved significantly, with bid-ask spreads declining by 23.4% and market depth increasing by 18.1%. Price adjustment half-life decreased by 50%, indicating …

On Topological And Algebraic K-Theories, Amar Yasser Aldakheel

Thesis/ Dissertation Defenses

This thesis explores topological K-theory, a powerful framework for studying invariants of topological spaces via algebraic structures. We investigate the construction of K-groups, with particular emphasis on the categorical formulation. The exposition is structured pedagogically, with careful development of the main concepts supported by detailed proofs and examples. The categories of vector bundles and projective modules are thoroughly defined and investigated. A central result studied in this thesis is the Serre–Swan theorem, which provides a bridge between the algebraic context of projective modules and the geometric context of vector bundles, enabling the use of algebraic techniques to solve geometric problems, …

Synthesis And Catalytic Activity Testing Of Coke-Resistant Nickel-Based Catalysts For Methane Reforming And Hydrogen Production, Abdulmuizz Adamson

Thesis/ Dissertation Defenses

Ni-based catalysts are widely used in methane reforming and hydrogen production, but their industrial application is limited by deactivation caused by carbon deposition (coking). This dissertation examines the role of iron as a dopant in improving catalytic performance and coking resistance, with emphasis on its incorporation method and impact on coke oxidation during different methane reforming reactions.

The results show that dispersing iron ions within the γ-Al₂O₃ support significantly enhances catalyst coking resistance and hence catalyst performance under partial oxidation and combined partial oxidation-dry reforming conditions. This improvement is attributed, mainly, to the redox function of Fe and the enhanced …

Fully Decentralized Hierarchical Federated Learning At The Edge With Post-Quantum Secure Communication, Tariq Qayyum

Thesis/ Dissertation Defenses

Federated learning (FL) enables collaborative model training without centralizing raw data, but deploying FL at scale in real edge environments remains challenging because iterative training and aggregation must operate over heterogeneous, resource-constrained, and often mobile devices with time-varying connectivity. Conventional hierarchical federated learning (HFL) partially mitigates communication cost by introducing fog/edge aggregation, yet many designs retain cloud-based global aggregation and cloud-centric coordination. This places wide-area network latency on the critical path of every training round, creates a single point of failure, and limits responsiveness as model sizes and federation scale grow. Moreover, moving coordination and aggregation closer to the edge …

Reday Program 2026, Bryant University

Bryant REDay (Research and Engagement Day)

Program for the 2026 Bryant REDay (Research and Engagement Day). Program includes schedule at a glance, descriptions for panels, workshops, and presentations, along with sign-up links for specific sessions in the electronic version of the program. Printed program was in color with double-sided printing on 8 1/2" x 11" paper stapled together in the upper left corner.

Optimizing Controller Speed And Torque To Reduce Drivetrain Stress, Selene J. Welch

SACAD: Scholarly Activities

This project investigates how torque delivery from the motor controller affects mechanical stress on the rear freewheel ratchet mechanism of a three-wheel electric race car. Excessive initial torque has caused accelerated wear and tear on the ratchet mechanism, reducing drivetrain reliability during Kansas ElectroRally competitions. Preliminary testing showed that slower, gradual acceleration prevented malfunction and allowed the vehicle to maintain top speed reliably. Prior research shows that torque-control strategies strongly influence electric-drive performance. Current research focuses on optimizing the controller’s torque and speed using the Alltrax Software ToolKit to reduce drivetrain tension while preserving the car’s performance capabilities.

Romance Scam Reporting And Support: Help-Seeking Timing, Trust, And Escalation, Ld Herrera

Research & Publications

Built on social engineering and identity deception, romance scams often create financial loss and distress. For victims, it can be difficult to know where to go, what information is needed, and what outcomes are realistic. This paper reports results from an anonymous survey of people who were targeted by or experienced a romance scam (completed surveys: n=386), focusing on (1) when and whether victims first reach out for help, (2) perceived difficulty and confidence in navigating support, (3) how trust relates to expectations of assistance, and (4) how loss severity relates to transfer-method complexity. When help was sought, it was …

A 4-Dimensional Rubik’S Cube You Can Hold: How It’S Possible And The Math Behind It, Eric J. Moon

SACAD: Scholarly Activities

This poster examines the physical 2x2x2x2, a hand-held realization of a 4-dimensional Rubik’s Cube invented by Melinda Green. Unlike most higher-dimensional twisty puzzles, which exist only as software simulations, this puzzle provides a physical model for exploring 4-dimensional rotation, symmetry, and solving methods. The poster introduces the structure of the puzzle, its canonical move system, and several algebraic ideas that help explain how scrambling and solving work.

From a mathematical perspective, the puzzle can be studied using group actions, commutators, conjugation, and combinatorial counting. In particular, the number of reachable states depends on corner permutations, corner orientations, parity restrictions, twist …

Ski Industry Professionals In New Hampshire Are Worried About Climate Change, Jacklyn Tracy, Elizabeth Burakowski

Carsey Publications

In this brief, authors Jacklyn Tracy and Elizabeth Burakowski report the results of an online survey conducted in June 2025 with New Hampshire ski industry professionals to gain insight into how they perceive climate change. Understanding the perspectives on climate change is an important first step in working to preserve a vital industry to the state as temperatures rise and winters shorten. The results of the survey revealed that the majority of New Hampshire ski industry professionals are concerned about the effects of global warming on the ski industry in the state and believe more should be done to address …

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2022 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2022 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.