Digital Commons Network^™

Bifurcation Exploration Of Ion Acoustic Solitons Formation Of A Nonlinear Beta Fractional Kadomtsev-Petviashvili Burger Model In Plasma State, Mst. Razia Pervin, Alrazi Abdeljabbar, Fahad Sameer Alshammari, Mst. Shekha Khatun, Harun Or-Roshid

Mathematical Modelling and Numerical Simulation with Applications

This research presents an extensive investigation of Ion acoustic soliton dynamics governed by a Beta-fractional Kadomtsev-Petviashvili-Burgurs (KPB) model. By engaging the planar dynamical system scheme in aggregation with the extended $(\phi, \psi)$ expansion, Kudryashov expansion, and the NMKM analytic schemes, we create a broad class of exact nonlinear pattern wave solutions. The local stability edifice of the fractional plasma model is explored through bifurcation theory, enabling the far-reaching classification of all admissible phase diagrams. Conforming Ion acoustic wave structures allied with every detour alignment are systematically assembled. Owing to the fractional and dissipative appearances of the model, an all-embracing assortment …

Numerical Simulations And Hyers-Ulam Stability Of A Novel Nonlocal Anthropogenic Cutaneous Leishmaniasis Mathematical Model, Khalid Fanoukh Al Oweidi, Zakirullah -, Kamal Shah, Thabet Abdeljawad

Mathematical Modelling and Numerical Simulation with Applications

In this work, the fractal-fractional Atangana-Baleanu derivative with the Mittag-Leffler kernel is employed to capture the memory and hereditary effects inherent to anthropogenic cutaneous leishmaniasis transmission dynamics. The Banach fixed-point theorem and contraction mapping principle are used to prove the existence and uniqueness of solutions, while Hyers-Ulam stability of the system is analyzed to demonstrate the robustness of solutions with respect to small perturbations. Using a nonlinear least-squares approach, model parameters and fractional order are estimated using epidemiological data from the World Health Organization. The basic reproduction number $R_0 = 0.53$ indicates that the disease is under control after adding …

Markov-Modulated Queueing Network For Mobile Traffic Aggregation With Threshold-Controlled Buffers, Anton A. Esin, Elmira Yu. Kalimulina

Mathematical Modelling and Numerical Simulation with Applications

We study the problem of data transmission from mobile platforms operating in high-speed transit between cellular base stations, under conditions of unstable and intermittent connectivity. Conventional queueing and connectivity models often fail to capture the combined effects of rapidly changing signal conditions, finite buffer capacity, and dynamic topology. We aim to develop a tractable yet expressive model that integrates stochastic link availability, queue dynamics, and buffer control. We propose a mathematical framework based on queues whose service intensities are modulated by a continuous-time Markov chain (CTMC) representing signal conditions along a high-speed trajectory. The core subsystem is a two-stage (aggregation …

Optimal Control And Bifurcation Analysis Of A Predator–Prey Model With Self-Limiting Growth And Predator Disease, Dipo Aldila, Muhammad Akmal Fasya, Bevina D. Handari, Chidozie Williams Chukwu, Olumuyiwa James Peter

Mathematical Modelling and Numerical Simulation with Applications

We propose and analyze an eco-epidemiological predator–prey model that incorporates self-limitation and disease transmission within the predator population. The model is formulated as a system of ordinary differential equations describing logistic prey growth under the interspecific interaction with the predator. On the other hand, the predator population is divided into susceptible and infected classes, whose growth is constrained by prey availability. Three biologically relevant equilibria are identified: predator extinction, disease-free coexistence, and coexistence with endemic disease. The existence and stability of these equilibria are determined by key ecological and epidemiological thresholds, including the basic reproduction number. Using numerical continuation methods, …

Measuring Market Risk Through Entropic Var, Dragomir Nedeltchev, Tsvetelin Zaevski

Mathematical Modelling and Numerical Simulation with Applications

The article aims to measure the market risk beyond the basic risk measures like the Value-at-Risk (VaR) and the Expected Shortfall (ES). The Entropic Value-at-Risk is selected among the available measures based on its advantages -- it is the coherent upper bound of the VaR and ES. This risk measure is applied to the classical Black-Scholes model as well as to some more realistic ones, such as the exponential tempered stable model (the log-returns are presented by a tempered stable L\'evy process), the stochastic volatility model of Heston, its jump extension of Bates, and another stochastic volatility model but with …

Toxicity, Chemistry, And Public Health Relevance Of Emerging Nicotine Analog Vapes, Pods, And Pouches., Rhea Raghu, Mohana Sengupta, Karen Lin, Felix Effah, Robert M. Strongin, Irfan Rahman

Chemistry Faculty Publications and Presentations

Electronic nicotine delivery system manufacturers, such as Charlie's Holdings Inc., ECBlend, Outlaw, and NicRiver, have recently introduced nicotine analogs, such as 6-methyl nicotine, 6-MN ("Metatine"), and nicotinamide, NA ("Nixamide," "Nixodine," or "Nixotin-free base and salt") in products to circumvent the U.S. FDA's premarket tobacco product application (PMTA) requirements. Marketed as "tobacco-free," "PMTA-exempt," or "FDA-approved," these compounds now appear in oral nicotine pouches and disposable bars/vapes from brands such as Outlaw Dip, Kumi-Six, SBX, Katchmi, and Spree Bar under proprietary labels including "NoNic6," "Metatine," or "NIC-SAFE." These products often mimic the appeal of conventional nicotine delivery systems, with extensive use of …

Forest Fires Increase Vulnerability To Midwinter Rain-On-Snow Snowmelt In The Western Oregon Cascades, Sage C. Ebel, Kelly Gleason

Environmental Science and Management Faculty Publications and Presentations

Forest fires and rain-on-snow events in the seasonal snow zone of the Pacific Northwest are increasing in frequency and magnitude, yet the combined impacts of these events on snowpack and water resources remain poorly understood. We show that forest fires doubled midwinter snowmelt proportions in 2023 and 2024 compared to unburned reference sites in the western Oregon Cascades. Data from snow monitoring and micrometeorological stations installed across an elevational gradient revealed increased snowpack vulnerability during midwinter rain-on-snow events, where we observed more snowmelt per rain-on-snow event in the burned forest, indicating higher vulnerability of these snowpacks to rapid melt, increasing …

Investigating The Interlanguage Fossilization Of English Writing In Foreign Language Acquisition, Ammar Abdul Fattah Habeeb

Journal of Language, Literature, and Arts

Interlanguage fossilization represents a common phenomenon in Foreign/Second language acquisition. The current study attempted to investigate the students’ writing compositions to reveal if interlanguage fossilization occurred or not. A diagnostic test has been used to collect the data. A sample of this study was chosen randomly from 20 EFL students of the sixth year preparatory schools in the academic year (2023-2024). The findings of this study displayed that two kinds of interlanguage fossilization are found and achieved by students. Morphological fossilization and syntactical fossilization. Morphological fossilization contained (85.63%) and syntactical fossilization consisted of (14.37) %.Low English proficiency led students’ writing …

Projections Of The Characteristics Of Extreme Precipitation In East Africa Using Bias-Corrected Cmip6 Models, Exavery K. Makula

Tanzania Journal of Science

In the context of ongoing global climate change, the intensification of the hydrological cycle is expected to modify the frequency, magnitude, and spatial distribution of extreme precipitation events. Understanding how precipitation extremes will evolve under climate change is critical for East Africa (EA), a region highly vulnerable to hydroclimatic hazards and strongly dependent on rainfall-driven socioeconomic systems. The region experiences two main rainfall seasons, namely the long rains (March-May, MAM) and the short rains (October-December, OND). This study investigates future projections of the characteristics of extreme precipitation across the EA using an ensemble of biascorrected CMIP6 global climate models. Extreme …

Proactive Resilience Enhancement Through Optimal Allocation Of Fast Voltage Support Devices Under Critical Multi-Bus Contingencies, Sunday O. Adetona, Habib A. Adetona, Adeola O. Balogun, Frank N. Okafor, Samson A. Alayande

Engineering and Technology Journal

In this paper, a two-stage optimization scheme of proactive resilience of the transmission system to severe multi-bus contingencies is developed. A hybrid PSO-GSA-Quantum metaheuristic is used to find the 4-bus reactive fault clusters in the IEEE 118-bus system in stage 1. The cluster identified with the performance index (PI) of 1.8875 × 10³ has the 91.6th percentile of 10000 random Monte Carlo samples and 1.78 times worse than the worst N-1 contingency. The results of the Monte Carlo analysis indicate that the PI distribution is essentially bimodal (skewness = 0.5188, kurtosis = 3.2394) and the distribution is concentrated around …

Experimental And Ai-Based Simulation Study Of Photovoltaic Thermal Collector With Cooling Techniques Integrated Into A Hybrid Solar Chimney, Ayat Ahmed, Khalid F. Sultan

Engineering and Technology Journal

As a result of increasing demands of efficient renewable energy systems as well as the hazards posed by high operating temperatures of the photovoltaic modules, advanced cooling and heat recovery solutions are now necessary. The paper involves an experimental and AI-filed research on a solar collector (photovoltaic/thermal, PV/T) with a combination of a hybrid solar chimney (HSC) to improve the electrical and thermal efficiency in hot climatic conditions, under hot weather conditions. The system was examined using three cooling configurations: air cooling, water cooling, and combined bi-fluid cooling. Energy balance equations were developed to evaluate electrical and thermal efficiencies, and …

A Systematic Review Of Mathematical Interpretations Of The Weton Marriage Tradition Within Islamic Cultural Contexts, Ratna Damayanti, Surya Sari Faradiba

Jurnal Pendidikan Sains

This study is grounded in the limited integration of mathematics, culture, and religion within academic discussions of local traditions, particularly the weton marriage calculation practice. It aims to explore the mathematical concepts embedded in weton calculations and to analyse these practices from an Islamic law perspective within an interdisciplinary framework. The study employs a Systematic Literature Review (SLR) method following the six-stage PRISMA 2020 protocol, including the formulation of research questions, development of a search strategy, application of inclusion and exclusion criteria, study selection, quality assessment, and thematic synthesis. Data were collected from Google Scholar and Garuda using the keywords …

Preferences For Mathematics And Science Education Majors Among Senior High School Students In Bataan, Zydrick L. Avelino

Jurnal Pendidikan Sains

This study examines the factors influencing Senior High School students’ preferences for Bachelor of Secondary Education (BSEd) majors in Bagac and Morong, Bataan, with particular focus on the low interest in Mathematics and Science specializations despite increasing demand for STEM educators. Using a descriptive quantitative design, data were collected from 369 students through a structured survey and analyzed using frequency and percentage distributions. The results reveal a strong preference for non-STEM majors, with Social Studies (42.12%) and English (35.04%) dominating, while Science (15.43%) and Mathematics (7.395%) received significantly lower interest. Personal interest emerged as the primary determinant (58.8%), followed by …

Applications Of Multivariable Calculus In Football, Karolina Rzeszut, Sarah Kraus, Montana Smith, Nathan Rowland, Lucas Owen, Kyler Akers, Karolina Rzeszut

Student Research Symposium (SRS)

Multivariable calculus helps explain how things work when more than one variable interacts at once, connecting with ideas such as architecture, nature, and most significantly football. In the latter, the ellipsoid equation has a significant effect on the aerodynamics of the ball, particularly the spiral motion when thrown. A football has three main dimensions: length, width, and height. Changing the ratios among these dimensions affects factors such as the stability of the spiral, the height of the throw’s parabolic path, and the overall distance the ball travels. By exploring these connections, this work shows how calculus can describe motion, efficiency, …

Experimental Validation Of Torricelli’S Law Using Dual Tank Geometries, Utkarsh Ravi, Zarif Naimul

Student Research Symposium (SRS)

This project investigates Torricelli’s Law, a fundamental principle in fluid mechanics that relates the velocity of fluid exiting an orifice to the height of the fluid above the opening. The experiment compares the drainage rates of two vertical tanks with different diameters but identical outlet sizes, isolating the influence of tank cross-sectional area on flow behavior. Each tank is filled to the same initial height, and water level versus time data are collected as the tanks drain under gravity. Using differential equation modeling and separation of variables, theoretical predictions are derived and compared to experimental results. Data analysis focuses on …

The Use Of Descent Gradients In Ai Learning Models, Alexander Wheeler

Student Research Symposium (SRS)

AI learning models use mathematical techniques to effectively minimize errors and improve prediction accuracy. Essential to these techniques is the use of the gradient descent, which outputs the correct way to adjust the model’s parameters to most effectively minimize error. The gradient descent is applied at the point of error produced by the program’s loss-function, a multi-variable function that mathematically represents the magnitude of error. This paper focuses on the implementation of the gradient descent, and its optimization of updating the models’ parameters. Multiple types of loss functions are examined, such as squared error and cross-entropy, and their influence on …

The Assessment And Valuation Gis Toolbox For Nerds, Lauren Voelker, Daniel Fasteen Phd

GIS/ValuationTechnologies Conference 2026

This hands-on workshop explores the modern geospatial toolkit for property valuation and assessment. We’ll explore how spatial analytics can enhance assessment accuracy, uncover neighborhood patterns, and support more defensible valuations. We’ll start with the essentials—bringing your data into Pro and performing exploratory spatial analysis—before moving into advanced tools for valuation modeling. Learn how to apply exploratory regression, forest-based classification and regression, geographically weighted regression (GWR), spatially constrained multivariate clustering, and territory design tools to improve accuracy and insight in your valuation workflows. We’ll also introduce the R-Bridge for extending analytical capabilities with custom scripts. If time permits, we’ll conclude with …

Creating Machine Learning Models For Valuation, Joshua Jorgensen, Luke Jorgensen, Zach Knepp

GIS/ValuationTechnologies Conference 2026

In this workshop we will walk through the entire process of creating multiple types of machine learning algorithms to predict property values and how to evaluate their performance. We will explore the necessary steps for preprocessing the data for the machine learning models and even how to create data encoders. In addition we will create multiple machine learning models, and compare the performance of these machine learning models. To follow up with we will lightly look into the effects of hyperparameters on machine learning models. Lastly we will examine other types of machine learning models and applications that can be …

Systems And Methods For Detecting Trajectory Closure And Structural Irreversibility In Ai Systems, Thom Pham

Defensive Publications Series

This disclosure describes systems and methods for characterizing when an error in an artificial intelligence trajectory remains correctable and when it becomes structurally irreversible. The disclosure introduces a temporal framework centered on closure, defined as the transition from revisable to non-revisable trajectory dynamics under active constraints. Two error regimes are distinguished: localized error, in which a deviation remains attached to an identifiable and correctable claim or state, and distributed error, in which violations are absorbed into the trajectory as a whole. The disclosure further introduces Aggregation-Induced Error (AIE) as a mechanism by which independent constraints lose separability when compressed into …

Artificial Genuine Intelligence: Why Constraint Matters More Than Values In Recursive Ai Systems, Thom Pham

Defensive Publications Series

Large language models are often described as hallucinating when they produce incorrect

or unsupported outputs. That label is useful descriptively, but it conflates several distinct

mechanisms, including local generation error, unsupported fabrication, and

interaction-driven reinforcement of an initially weak claim. This paper isolates the third

case.

We argue that a subset of hallucination-like behavior is better understood as Recursive

Narrative Amplification (RNA): a feedback dynamic in which an already introduced

claim gains authority through recursive reuse before sufficient external constraint has

refreshed or corrected the trajectory.

The paper also introduces aggregation-induced error as a distinct structural failure mode

arising from …

Optically Isolated, Current-Controlled Closed-Loop System For Magnetically-Mediated Temporal Interference Neuromodulation (M-Ttis), Olexandr Lozovyi

Defensive Publications Series

We disclose a neuromodulation system implementing closed-loop, magnetically-mediated temporal interference stimulation (m-tTIS). While inspired by traditional electric tTIS, the disclosed architecture utilizes coherent magnetic field synthesis for non-invasive tissue penetration. To suppress electromagnetic interference (EMI) below functional detection thresholds and limit hardware-induced demodulation artifacts, an "Absolute Optical Air-Gap" architecture is detailed. The device is partitioned into galvanically isolated domains, interconnected exclusively via plastic optical fiber (POF). The power stage employs a Class D amplifier with a second-order LC filter and hardware current sensing for amplitude stabilization. Control is based on adaptive optimization of physiological spectral metrics. Firmware execution provides deterministic, …

Decoupling Stylistic And Factual Context In Llms To Mitigate Conversational Tone Inertia, Viraj Doshi

Defensive Publications Series

Large language models (LLMs) engaged in extended dialogues may exhibit "tone inertia," where a model's style can become fixed and may not adapt when a conversational topic shifts, potentially leading to contextually inappropriate responses. A system can manage this behavior by algorithmically decoupling conversational context into components, such as a factual context for semantic knowledge and a stylistic context for tone and stylistic profile. A domain shift detection module can identify shifts in the conversation based on mathematical/vector detection, which may trigger a reset of the stylistic context while the factual context is preserved. This process can allow dynamic adaptation …

Ai Adoption In Research Administration At Emerging Research Institutions, Dylan Ruediger, Ruby Macdougall, Stefanie Brachfield, Douglas R. Dechow, Jonathan Parker, Jana Remy

Library Articles and Research

"With funding from the National Science Foundation’s GRANTED program (grant #2437518), Ithaka S+R, Chapman University, and Montclair State University organized two workshops to help research administrators consider how to leverage AI to build research capacity at ERIs. Our first workshop, held at Montclair State in September 2025, brought together 31 participants from 13 academic and medical institutions in the New York/New Jersey/Pennsylvania region. Our second workshop, hosted by Chapman University on December 5, 2025, included 32 participants from 13 colleges and universities in Southern California. The approximately 2,600 ERIs in the United States receive a disproportionately small amount of federal …

Multiscale Computational Modeling Of The Cardiopulmonary Consequences Of Postnatal Hyperoxia With Implications For Preterm-Born Children, Salla M. Kim, Filip Jezek, Pim J. A. Oomen, Gregory P. Barton, Feng Gu, Daniel A. Beard, Kara N. Goss, Mitchel J. Colebank, Naomi C. Chesler

Faculty Publications

Moderate to extreme preterm birth (<  32 weeks gestation) affects cardiopulmonary structure and function and is associated with increased risk of heart failure through adulthood. The rat hyperoxia (Hx) model (term born; postnatal Hx exposure) captures biventricular changes, including at the cell and organ scale, and pulmonary vascular remodeling seen in preterm humans. However, synthesizing these measures across scales and organ systems is challenging. We hypothesized that in silico modeling of biventricular mitochondrial, myofiber, and organ-scale function plus circulatory function could capture key features of cardiopulmonary abnormalities due to preterm birth. Therefore, we calibrated a multiscale model to subject-specific biventricular pressure–volume data previously obtained from Hx rats alongside normoxic (Nx) controls to investigate the abnormalities in cardiopulmonary function at multiple scales in this animal model of human preterm birth. The calibrated model demonstrates excellent agreement with the data and captures the expected pulmonary vascular changes and right ventricular dilation seen in preterm-born children. Our multiscale modeling approach captures cardiopulmonary abnormalities across spatial scales and provides an innovative approach to explore the consequences of preterm birth beyond preclinical experimental data alone. This is a foundational step in understanding the impact of preterm birth on cardiopulmonary disease in childhood as well as adulthood.

Improving Pre-Nursing Retention Through Structured Readiness Modules: Development Of The Pre-Nursing Information Hub, Amber M. Carter

Morehead State Theses and Dissertations

A capstone submitted in partial fulfillment of the requirements for the degree of Doctor of Education in the Ernst and Sara Lane Volgenau College of Education at Morehead State University by Amber M. Carter on March 30, 2026.

Who Is Presidential? Women’S Political Representation, Deflection, And The 2016 Election, Kaitlin M. Boyle, Chase B. Meyer

Faculty Publications

In 2016, Hillary Clinton was the first woman to gain the presidential nomination from a major political party in the United States, yet she was unsuccessful. The current study explores barriers to being elected as president for women generally and Hillary Clinton specifically. Using the propositions and tools of affect control theory, we demonstrate how women’s political representation shapes cultural sentiments about women and the president. In a nationwide sample of Americans surveyed shortly before the election, we find women’s representation on the state level influences voter preferences through these cultural sentiments: More women in politics makes a woman president …

Exercise Effects On Decreased Levels Of Depression In Female Breast Cancer Patients, Dorothy Y. Spencer

Walden Dissertations and Doctoral Studies

Breast cancer patients with major depressive disorder (MDD) are at a high risk of experiencing pain and fatigue, anxiety and substance use, poor quality of life, marital spouses with elevated depression, impaired sexual functioning, sleep disorders, poor immune system functioning, rapid progression of cancer, and higher mortality rates. Grounded in Fritz Heider’s attribution theory, the purpose of this quantitative quasi-experimental study was to examine the relationship between physical exercise and a decrease in MDD. The participants comprised of 15 female breast cancer patients, 18 years of age and older, who may have experienced depression. The participants completed the Beck Depression …

Temporary By Design: Why International Students Need A Real Pathway To Permanent Residence, Benedetta Palese

Cardozo Journal of Equal Rights and Social Justice (ERSJ) Blog

You grow up in a rural town abroad where English is barely taught. You teach yourself the language, travel hours to take standardized tests, and earn admission to a United States university. You stay for law school, believing that talent and persistence will bring stability. Near graduation, the question changes: what happens when the student visa expires, and life beyond campus begins?

The United States should create a meaningful, predictable pathway from F-1 student status to permanent residence. International students are welcomed as students and future workers, yet the law still structures them as temporary visitors. That instability is not …

Effectiveness Of Special Compound Exercises In Developing Speed-Strength And Explosive Power In The Long Jump Among The Students, Amjad H. Mohammed

Modern Sport

This research aims to determine the effectiveness of compound exercises in developing explosive power and force speed in the long jump among students. The research problem lies in the limited use of compound exercises that develop explosive power and force speed during training. The researcher used an experimental design with two groups (experimental and control). The sample included 24 students from Najaf Preparatory School for Mathematical Sciences, who were randomly divided into two groups (experimental and control). Each group consisted of 12 students, representing 49% of the research population. The experimental group underwent compound exercises, which were conducted over eight …

Bridging The Gap: A Mixed-Methods Study Exploring The Relationships Between Student-Teacher Demographic Mismatch And Students’ Perceptions Of Fairness, Inclusion, And Achievement, Nicholas Nahrwold

Theses and Dissertations

This study examines the relationships between student-teacher demographic mismatch and students’ perceptions of fairness, inclusion, and achievement. The purpose of this research was to determine how race, gender, and SES mismatch between students and teachers is related to their feelings of belonging and academic outcomes. A mixed-methods study was conducted involving a combination of survey data, student performance records, and student interviews. Results from the study indicated a relationship between student-teacher gender match and GPA, student-teacher racial match and GPA, and student-teacher racial match and attendance outcomes. Although not statistically significant, the data collected also highlighted trends between student-teacher SES …