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Turkish Journal of Mathematics

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Generalized Splines Over ℤ-Modules On Arbitrary Graphs, Gökçen Di̇laver, Selma Altinok

Turkish Journal of Mathematics

Let [[EQUATION]] be a commutative ring with identity and [[EQUATION]] a graph.  Fix an [[EQUATION]]-module [[EQUATION]] for each vertex [[EQUATION]] of [[EQUATION]], an extending generalized spline on [[EQUATION]] is a vertex labeling [[EQUATION]], where for each edge [[EQUATION]] there exists an [[EQUATION]]-module [[EQUATION]] together with homomorphisms [[EQUATION]] and  [[EQUATION]] such that [[EQUATION]]. Extending generalized splines are further generalizations for generalized splines. They can also be considered as generalized splines over modules.In this paper, we prove that some of the results for splines can be extended to extending generalized splines when [[EQUATION]] for each vertex [[EQUATION]], and we define a method …

Biharmonic Curves In Warped Product Manifolds I ×FMN(C), Şaban Güvenç, Ci̇han Özgür

Turkish Journal of Mathematics

We explore the geometric properties of biharmonic curves in warped product manifolds of the form I ×_f Mⁿ(c), where I is an open interval and Mⁿ(c) is a space of constant curvature. By establishing a main theorem, we analyze four distinct cases to reveal deeper curvature-related characteristics of these curves, including situations where they are slant. Finally, we construct three examples in I ×_f S²(1).

Generalized Submaximality And Paracompactness In Ideal Topological Spaces Via Δβ*-𝔍-Open Sets, Chawalit Boonpok, Areeyuth Sama-Ae

Turkish Journal of Mathematics

This paper explores the notions of δβ^*-𝔍-submaximality and δβ^*-𝔍-paracompactness within ideal topological spaces, viewing them as natural generalizations of the traditional concepts of submaximality and paracompactness. These concepts arise naturally in the context of ideal topology, where an ideal 𝔍 on a topological space provides additional structure for analyzing topological properties. It focuses on the study of submaximal spaces by employing δβ^*-𝔍-open sets, which serve as fundamental building blocks for understanding the topological behavior in ideal spaces. Furthermore, the work provides multiple characterizations of δβ^*-𝔍-paracompact spaces and examines how this property behaves …

Impulsive Hahn--Sturm--Liouville Equations, Bi̇lender Paşaoğlu Allahverdiev, Hüseyi̇n Tuna, Hati̇ce Bulut Demi̇ralay

Turkish Journal of Mathematics

In this study, we investigate the Hahn--Sturm--Liouville problems with impulsive boundary conditions. The basic spectral properties of this type of equations are investigated.

The Kinematic Relationship Between Plücker Coordinates,  Moments Of Ruled Surfaces, And Real Quaternion Algebra, Selahatti̇n Aslan

Turkish Journal of Mathematics

This paper introduces a new kinematic method for generating ruled surfaces in Euclidean 3-space. We demonstrate that the Plücker coordinate method for straight lines can be extended to ruled surfaces. We prove that the moment of a ruled surface is a unique curve, which is independent of the chosen base curve. Moreover, we introduce a novel and distinctive base curve that is defined as the set of points on the rulings of the ruled surface such that these points are closest to the origin. Thus, we prove that each ruled surface can be generated using a real quaternion and a …

Notes On The Geometry Of Electromagnetic Fields And Maxwell’S Equations Along A Nonnull Curves In Nonflat-3d Space Forms MQ3(C), Fatma Almaz, Cumali̇ Eki̇ci̇

Turkish Journal of Mathematics

In this paper, the directional derivatives in accordance with the orthonormal frame {T^→, N^→, B^→} are defined in M_q³(c), the extended Serret-Frenet relations by using Frenet formulas are expressed. Furthermore, we express the bending elastic energy function for the same particle in M_q³(c) according to curve γ(s, ξ, η) and we tried to interpret it from a geometric perspective of the energy for unit vector fields. Also, Maxwell’s equations are expressed for the electric and magnetic field vectors …

Analysis And Categorization Of Second-Order Linear Partial Dynamic Equations On Time Scales, Svetlin G. Georgiev, Jervin Zen Lobo, Sanket Tikare

Turkish Journal of Mathematics

In this paper, we obtain the canonical form of second-order linear partial dynamic equations in two independent variables on time scales, together with the identity for the characteristic quadratic form. This is then used to classify these equations as hyperbolic, elliptic, or parabolic. We deduce the characteristic equations in each case, determine their roots, and provide the corresponding characteristic curves. In one case, we derive the generalized Beltrami equations on time scales. Suitable examples involving equations of interest are explored, and the developed theory is illustrated through these examples.

The Lived Experiences Of The Flint Water Crisis And Its Psychological Effects, Joe W. Glenn

Walden Dissertations and Doctoral Studies

The Flint, Michigan, water crisis of 2014, with lead contamination of drinking water, adversely affected predominantly Black, socioeconomically disadvantaged residents. However, no research has investigated residents’ experiences, especially their trust in local and state government leaders. The purpose of this study was to explore the lived experiences of the Flint water crisis and its psychological effects. Rawls’s theory of justice provided the framework for the study. Three research questions guided this qualitative descriptive phenomenological study. Information from eight Flint residents was collected through semi-structured interviews. Data analysis followed Giorgi’s descriptive phenomenological steps. Five strong themes emerged: understanding individual perceptions, views …

Residual Effects Of Childhood Sexual Victimization On Black Caribbean Immigrants’ Adult Functionality, Sophia Elaine Profit

Walden Dissertations and Doctoral Studies

Childhood sexual victimization is associated with long-term psychological, emotional, and functional challenges that may persist into adulthood. Despite a growing body of literature on childhood trauma, limited research has explored its residual effects on adult functionality among Black Caribbean immigrants. The purpose of this qualitative phenomenological study was to explore the residual effects of childhood sexual victimization on adult functionality among Black Caribbean immigrants. Purposive and snowball sampling were used to recruit 9 participants through social media platforms. Rational choice theory served as the conceptual framework to examine how trauma-related and sociocultural factors shaped participants' decision-making processes. Data were collected …

How Female Leaders Perceive The Influence Of Gender On Career Advancement In The Indonesian Construction Industry, Jadeviput Suwanarat

Walden Dissertations and Doctoral Studies

Women who work in leadership positions in the construction industry in Indonesia face gender related challenges. Grounded in Acker’s theory of gendered organizations, this qualitative hermeneutic phenomenological study examined how women leaders experience and interpret gender-related workplace challenges. I collected data through semistructured interviews with nine women leaders in the Greater Jakarta Metropolitan Area and analyzed the data using the modified van Kaam method. Manual coding produced seven emergent themes. Key findings showed that gender inequality is embedded in organizational culture, policies, and everyday practices rather than occurring as isolated incidents. Women leaders reported heightened scrutiny, the need to continually …

Higher Education Faculty’S Perceptions On Generative Artificial Intelligence Use In Teaching And Learning Practices, Inez Mitchell

Walden Dissertations and Doctoral Studies

The problem that was addressed through this study is that higher education (HE) faculty are challenged to integrate generative artificial intelligence (GenAI) in their teaching and learning practices. Grounded in Mishra and Koehler’s technological, pedagogical and content knowledge framework and Knowles’ theory of andragogy, the purpose of this study was to explore HE faculty’s perceptions on their content, andragogical, and technological knowledge and their instructional strategies used in integrating GenAI. For this basic qualitative design, semistructured interviews were conducted with nine HE faculty who self-identified as having at least 3 years of teaching and GenAI usage experience from across the …

Administrative Discharge Strategies To Decrease Readmission Rates Of Black Patients In Acute Care Hospitals, Patricia Cummings

Walden Dissertations and Doctoral Studies

High 30-day hospital readmission rates among Black patients remain a healthcare administration problem associated with high costs and poor care quality. The purpose of this integrative review was to identify evidence-based discharge planning strategies to reduce hospital readmissions among Black patients. The review question was used to examine strategies healthcare administrators can implement to enhance discharge planning for Black patients. Donabedian’s structure-process-outcome model guided the review. A literature search yielded 87 relevant articles; 27 articles published from 2021 through 2026 were appraised using the Johns Hopkins evidence-based practice model, and 25 were used in this review. Thematic analysis resulted in …

A Detailed Characterization Of Exoplanet Host Stars And Their Planets With The Chara Array, Ashley A. Elliott

LSU Doctoral Dissertations

There exists a vastly diverse compilation of exoplanetary systems; ranging from planets the size of Earth to planets larger than Jupiter, planets with or without an atmosphere, planets with rocky compositions to planets with gaseous compositions, and more. Enough planets have been discovered and confirmed to enable statistically reliable statements about demographics, formation mechanisms, planetary properties, etc., all of which require reliable exoplanet parameters. Properly characterizing and understanding these worlds first requires accurate measurements of their host star fundamental properties as exoplanets were, at some point in time, under the direct influence of their host stars. Direct measurements of stars …

Volatility Spillovers Between Stock Prices And Exchange Rates: Insights For Risk Management And Investment Strategies: Evidence From China, India, And Pakistan Using Bekk-Garch Models, Samreen Fatima, Humera Sultana, Muhammad Najamuddin Dr., Saba Naz

The Indonesian Capital Market Review

This study investigates the dynamics of volatility and its spillover effects between the stock markets of China, India, and Pakistan, and their respective exchange rates (USD/CNY, USD/INR, and USD/ PKR). Volatility is modeled using the Symmetric and Asymmetric BEKK-GARCH (1,1) and DCCGARCH (1,1) models, based on daily return series covering the period from January 1, 2019, to January 31, 2025. The empirical results indicate that both the employed models are adequate for capturing the volatility dynamics. The findings reveal that the highest value of portfolio weights and hedging efficiency of KSE-100 Index–USD/PKR provide optimal portfolio allocation and highest hedging performance …

Depro: Understanding The Role Of Llms In Debugging Competitive Programming Code, Nabiha Parvez, Md Tanvin Sarkar Pallab, Mia Mohammad Imran, Tarannum Shaila Zaman

Computer Science Faculty Research & Creative Works

Debugging consumes a substantial portion of the software development lifecycle, yet researchers do not yet understand well the effectiveness of Large Language Models (LLMs) in this task. Competitive programming offers a rich benchmark for such evaluation, given its diverse problem domains and strict efficiency requirements. We present an empirical study of LLM-based debugging on competitive programming problems and introduce DePro, a test-case-driven approach that assists programmers by correcting existing code rather than generating new solutions. DePro combines brute-force reference generation, stress testing, and iterative LLM-guided refinement to efficiently identify and resolve errors. Experiments on 13 faulty user submissions from Codeforces …

Interstitial Fluid N-Glycans Serve As A Proxy For Serum Biomarker Discovery In A Pilot Study, Radka Saldova, Talus K. Gaymore, Caitriona Walsh, Eder Zavala, Paula M. Mendes

Student Papers, Posters & Projects

Protein glycosylation is the most prevalent post-translational modification and is known to undergo profound alterations in disease. While serum N-glycosylation has been extensively studied, interstitial fluid is gaining prominence as a minimally invasive biomarker source, underscored by the widespread clinical adoption of wearable glucose monitors in diabetic patients. However, the glycomic landscape of interstitial fluid remains largely unexplored. Here, we have performed a comparative analysis of the N-glycome from interstitial fluid and matched plasma from five healthy volunteers using liquid chromatography, mass spectrometry and exoglycosidase digestions. Strikingly, the interstitial fluid N-glycome closely shows overlapping profiles with the plasma of each …

Impact Of Asphalt Binder Chemical Composition On The Performance Of Asphalt Mixture., Sagar Parajuli

LSU Master's Theses

Asphalt binder is composed of four chemical fractions, namely, saturates, aromatics, resins, and asphaltenes (SARA). Binders with the same performance grade (PG) can exhibit different chemical compositions due to variability in crude oil sources and refining processes. The objective of this study was to evaluate how such chemical variations influence the mechanical performance of asphalt mixtures at high, intermediate and low temperatures.

Eighteen 12.5-mm nominal Maximum Aggregate Size mixtures were designed using two aggregate types (limestone and gravel), and three binder grades (PG 67-22, PG 70-22m and PG 76-22m), each from three different sources with varying chemical fractions. A suite …

Explainable Machine Learning For Biomedical Diagnostics: Optical Imaging And Eeg Signal Analysis, Fozia Rajbdad

LSU Doctoral Dissertations

The growing convenience of complex biomedical data begins new roads for better disease detection and functional identification via artificial intelligence (AI). Nevertheless, conventional analysis methods often rely on basic metrics that drop sensitive biotic differences, and various AI systems are difficult to infer, limiting their clinical reliability and practical use. There is a growing need for explainable, physiologically relevant computational models that can extract key biomarkers from diverse biomedical data sources. This dissertation addresses this problem by obtaining explainable machine learning and deep learning procedures for studying biomedical signals and optical imaging data.

This dissertation is divided into two parts; …

Llm-Enabled Open-Source Systems In The Wild: An Empirical Study Of Vulnerabilities In Github Security Advisories, Fariha Tanjim Shifat, Hariswar Baburaj, Ce Zhou, Jaydeb Sarker, Mia Mohammad Imran

Computer Science Faculty Research & Creative Works

Large language models (LLMs) are increasingly embedded in open-source software (OSS) ecosystems, creating complex interactions among natural language prompts, probabilistic model outputs, and execution-capable components. However, it remains unclear whether traditional vulnerability disclosure frameworks adequately capture these model-mediated risks. To investigate this, we analyze 295 GitHub Security Advisories published between January 2025 and January 2026 that reference LLM-related components, and we manually annotate a sample of 100 advisories using the OWASP Top 10 for LLM Applications 2025.We find no evidence of new implementation-level weakness classes specific to LLM systems. Most advisories map to established CWEs, particularly injection and deserialization weaknesses. …

“Innocent” Electrolytes Can Influence Organic Electrosynthetic Selectivity, Zachary A. Nguyen, Nhu H. Quach, Mayank Tanwar, Joshua A. Beeler, Kevin Mcfadden, Dylan G. Boucher, Matthew Neurock, Shelley D. Minteer

Chemistry Faculty Research & Creative Works

Organic electrosynthesis has emerged as a powerful strategy for leveraging electricity in organic synthesis. Despite its growing popularity, the fundamental molecular interactions governing electrochemical systems remain poorly understood. Many electrosynthetic reactions show strong dependence on the identity of the allegedly inert supporting electrolyte, which can significantly impact yields and selectivity, yet the physical origins of these effects are largely unexplored. A mechanistic understanding of electrolyte effects would enable more rational reaction design for applications. Here, we use cyclic voltammetry to investigate cobalt-based metal–carbon bond homolysis and elucidate how common supporting electrolytes influence reaction rates. Bulk electrolysis experiments further reveal how …

Understanding Structural Risk: Seismic Demand For Low-Fill Slender Fuel Tanks, David Yang, Sam Anderson

Civil and Environmental Engineering Faculty Publications and Presentations

Older fuel storage tanks, such as those in Oregon's CEI Hub, present significant seismic vulnerabilities, prompting proposals to limit storage capacity as a transitional risk mitigation measure before more permanent retrofitting actions. However, a critical knowledge gap exists regarding the applicability of standard analysis methods, like API 650, to low-fill conditions. This study utilizes the Veletsos-Yang iterative fluid-tank interaction procedure to evaluate the seismic demand of low-fill slender tanks. The analysis reveals that low-fill slender tanks exhibit slightly longer impulsive periods compared to fully-filled tanks with identical fill-height to radius ratios. Furthermore, the fixed roof mass of a low-fill tank …

Pharky, Phedro, Phractured, And Stagephright: Complete Genome Sequences Of Four Ek2 Cluster Microbacterium Phages, Susan M. R. Gurney, Medha Gupta, Deeksha Reddy, Gloria Zacharias, Aleda S. Jomy, Carly J. Smith, Matthew T. Mcdonald, Brett M. Condon

Student Papers, Posters & Projects

We report the complete genome sequence of four Microbacterium phages, Pharky, Phedro, Phractured, and StagePhright, isolated using the bacterial host Microbacterium foliorum from soil samples collected in Philadelphia. All four phages are genetically very similar and contain a gene of unknown function, which is uncommon in the EK2 cluster.

Numerical Simulation Of Centrifugal Pump Performance Under Impeller Blade And Suction Diameter Variations, Gunawan Budi Santoso, Susanto -, Akhmad Nuriyanis, Anang Budhi Nugroho, Rizka Noor Miftakhul Ulum, Suyono -

Journal of Mechanical Engineering Science and Technology (JMEST)

The objective of this study is to model variations in pump geometry to obtain optimal performance under the effects of cavitation. The resulting geometric variation models were then simulated using ANSYS Fluent software. The first geometric variation model used a standard 5-blade impeller with suction pipe diameter variations of 2, 2 ½, 2 ¾, 3, 3 ¼, 3 ½, and 4 inches. The second geometric variation model for simulation used a standard 3-inch suction pipe with impeller blade variations of 3, 4, 5, 6, 7, 8, and 9. The simulation results indicated that the number of blades without changes in …

Characterization Of Various Corrosion-Resistant Rebars Embedded In Concrete After 20 Years Of Exposure, Samantha Mavrak

Electronic Theses and Dissertations 2020 - Present

In aggressive marine environments, the deterioration of reinforced concrete structures is primarily caused by chloride-induced corrosion of embedded carbon steel reinforcement, resulting in concrete cracking, spalling, and costly maintenance or premature replacement. Corrosion-resistant reinforcement has been developed to mitigate these effects; however, long-term field performance data remain limited. This study evaluates the long-term corrosion performance of several corrosion-resistant rebars embedded in simulated deck slab concrete specimens following approximately 20 years of chloride exposure.

Concrete specimens containing 304SS, 316SS, and 2304 duplex SS, two types of clad reinforcement (316SS with carbon steel core), and an intermediate alloy with 12% Cr were …

Improving Cancer Diagnosis And Patient Outcomes With Deep Learning Models, Mariana Arriz-Jorquiera

USF Tampa Graduate Theses and Dissertations

Cancer care depends on timely and reliable decisions, from detection and diagnosis to treatment planning and patient monitoring. These decisions are often made under uncertainty because medical images and healthcare data may be noisy, incomplete, or difficult to interpret. In breast cancer imaging, ultrasound is widely used because it is safe, accessible, and complementary to other imaging modalities. However, variations in image quality, acquisition conditions, and noise can obscure lesion boundaries and texture, affecting human interpretation and artificial intelligence reliability. This dissertation develops deep learning, image-analysis, and optimization methods to improve healthcare decisions under imperfect information. Its primary focus is …

Mechanistic Basis Of Bifunctional Oxidation By A Non-Heme Fe(Ii)/2-Oxoglutarate-Dependent Enzyme Cctet Toward N6-Methyladenine And 5-Methylcytosine In Double-Stranded Dna, Bhargav Varada, Simahudeen Bathir Jaber Sathik Rifayee, Midhun George Thomas, Ethan Sommer, Carter Davis, Sodiq Waheed, Sudheesh Devadas, Surajit Kalita, Sreerag Melayikandy, Tatyana Karabencheva-Christova, Christo Christov

Michigan Tech Publications

CcTET (Coprinopsis cinerea ten-eleven translocation) is a non-heme Fe(II)/2-oxoglutarate (2OG)-dependent oxygenase that catalyzes the oxidative demethylation of both N⁶-methyladenine (6mA) and 5-methylcytosine (5mC) in double-stranded DNA, distinguishing it from other TET enzymes that act exclusively on 5mC. Despite this bifunctional activity, the molecular origins of its substrate selectivity and catalytic mechanism remain poorly understood. Here, we employed a multiscale computational approach combining classical molecular dynamics simulations and hybrid quantum mechanics/molecular mechanics calculations to characterize the conformational dynamics and reaction pathways of CcTET. Our results show that CcTET follows the canonical Fe(IV)=O-mediated mechanism, in which hydrogen atom transfer (HAT) …

Coastal Vulnerability Index Mapping Using Remote Sensing And Gis Techniques: A Comparative Study Of Oaxaca (Mexico) And Bali (Indonesia), Siti Aisyah, Mangapul Parlindungan Tambunan

Jurnal Geografi Lingkungan Tropik (Journal of Geography of Tropical Environments)

This study aims to conduct a comparative analysis of two journal articles that assess coastal vulnerability using the Coastal Vulnerability Index (CVI), focusing on the State of Oaxaca in Mexico and the Province of Bali in Indonesia. The comparison covers the research context, data inputs, methodological frameworks, findings, and conclusions, while also highlighting the respective strengths and limitations of each study. Both regions applied CVI methodologies to evaluate areas at risk from sea-level rise, utilizing remote sensing data and Geographic Information System (GIS) tools at a regional scale. The outcomes of this research emphasize key parameters that significantly affect coastal …

Ugcrm‑1.0 — Caldwell Universal Gyroid Cooling & Resilience Module A Builder‑Ready, Open‑Hardware Cooling + Stability Engine For Ai Compute, Medical Racks, And High‑Density Systems, Michael Victor Caldwell Mr.

Defensive Publications Series

ABSTRACT

UGCRM‑1.0 is a modular cooling + resilience backplane designed for:

• AI compute racks and GPU clusters

• Medical imaging and extracorporeal systems

• Edge compute in harsh environments

• Micro‑habitats and survival capsules

It uses gyroid spider‑web heat spreaders, micro‑fluidic cooling, phase‑change buffering, and smart‑skin sensing to outperform the best cooling systems in the world, while remaining 95–99% viable with current engineering tools.

Remaking The Red Death: An Interactive Fiction Post-Mortem, Kenton T. Howard

ELO (un)supervised 2026

This individual talk provides a post-mortem discussion of an interactive fiction game the author created, ReMasque of the Red Death, for the Electronic Literature Collection Volume 5. The game is a web-based interactive fiction recreation of Edgar Allan Poe’s classic short story “The Masque of the Red Death” built using ink and Inky, an interactive fiction scripting engine, with 2D art assets created in Sketchpad, a mobile-based digital drawing app. The game was produced entirely without the usage of AI tools. This talk will cover the initial ideation for the game, creating a basic prototype of the game’s core systems, …