Digital Commons Network^™

On Sequences Arising From The Action Of Modular Group, Tuncay Köroğlu, Bahadir Özgür Güler

Turkish Journal of Mathematics

This paper examines the sequences produced by the natural action of specific elements of the modular group on extended rational numbers. The polynomial sequences Pr(c) and Qr(c) are derived from the orbit of the point at infinity under a specific modular transformation. These sequences satisfy linear recurrence relations, which are analyzed using generating functions. The polynomials encode k-Fibonacci numbers, and studying their behavior modulo a fixed integer m reveals notable arithmetic and combinatorial properties. We also explore the connection between these modular actions and Farey graphs, illustrating the hyperbolic transformations as nested geodesic paths in the upper half-plane.

A Module Theoretic Approach To (B,C)-Invertibility, Tuğba Pakel, Burcu Üngör, Handan Köse, Sai̇t Halicioğlu, Abdullah Harmanci

Turkish Journal of Mathematics

In this paper, we introduce and investigate the concept of an (r, f)-inverse in the context of modules, drawing inspiration from the (b, c)-inverse, which is the analogous notion in ring theory. We demonstrate the uniqueness of (r, f)-inverses in modules whenever they exist. We provide some necessary and sufficient conditions for the existence of (r, f)-inverses in modules.

Existence Results And Uniqueness For Some Caputo-Hadamard Fractional Differential Equations Via The Measures Of Noncompactness, Manochehr Kazemi, Mohammad Esmael Samei, Hamid Reza Sahebi, Osman Tunç

Turkish Journal of Mathematics

In this paper, the existence of solutions to Caputo–Hadamard fractional differential equations is investigated using measures of noncompactness and the Petryshyn fixed point theorem. Several new results are established, recovering certain earlier results under weaker conditions. Finally, two illustrative examples are presented.

Proportion Of Nilpotent Subgroups In Finite Groups And Their Properties, João Victor Monteiros De Andrade, Leonardo Santos Da Cruz

Turkish Journal of Mathematics

​This work introduces and investigates the function J(G) = Nil(G) / L(G) , where Nil(G) denotes the number of nilpotent subgroups and L(G) the total number of subgroups of a finite group G. The function J(G), defined on the interval (0,1], represents the proportion of nilpotent subgroups relative to the total number of subgroups, including trivial ones. It serves as a tool for analyzing structural patterns in finite groups, particularly in nonnilpotent families such as supersolvable and dihedral groups. Analytical results reveal the distribution of J(G) values across products of dihedral groups, emphasizing its density over (0,1]. Additionally, a probabilistic …

Optimal Control Of An Inverse Two-Point Boundary Value Problem For A Pseudoparabolic Equation With Samarskii–Ionkin-Type Boundary Conditions, Khanlar R. Mamedov, Tursun K. Yuldashev, Zholdoshbek Zh. Shermamatov

Turkish Journal of Mathematics

This paper investigates an inverse optimal control problem for a pseudoparabolic equation governed by nonlinear control function in a two-point boundary condition. The differential equation is considered under Samarskii Ionkin-type boundary value conditions with respect to the spatial variable x. Necessary optimality conditions are derived, and the associated nonlinear functional equations are analyzed. Using the contraction mapping principle, the existence and uniqueness of the control function are established. Subsequently, the redefinition function and the state function are determined. The convergence of their respective Fourier series representations is rigorously proven.

Close-To-Convexity Properties Of Inverse Hypergeometric Functions, Ijlal Hussain, Wasim Ul Haq, Janusz Sokol

Turkish Journal of Mathematics

The normalized inverse hypergeometric function zF_ν⁻¹(d, e, f; z) = ∑_s=0^∞ A_sz^s+1 is considered, where A_s = (f)_s(ν + 1)_s / (d)_s(e)_s. We aim to provide constraints on d, e, f, and ν under which zF_ν⁻¹(d, e, f; z) belongs to various subclasses of the class of close-to-convex functions. Coefficient characterizations of these families are derived under additional conditions. Some associated operators …

Ricci Solitons On Manifolds With Norden Golden Structure, Bang-Yen Chen, Foued Aloui, Mohammed Nisar, Majid Ali Choudhary

Turkish Journal of Mathematics

​The concept of golden structure is a compelling area with wide-ranging applications. In this paper, we introduce and investigate the notion of Norden golden Ricci solitons. In particular, we investigate Ricci solitons on a Norden golden Riemannian manifold of constant sectional curvature. Furthermore, we explore Ricci solitons and Norden golden Ricci solitons on Norden golden Riemannian manifolds whose potential vector fields are killing, conformal killing, concurrent, or homothetic.

Comparisons Of Some Weighted Mixed Biased Estimators For The Linear Regression Model, Dünya Karapinar, Murat Polat, Ni̇met Özbay, Selahatti̇n Kaçiranlar

Turkish Journal of Mathematics

This paper presents comparative results on the two-parameter weighted mixed estimator, which is a distinct class of estimator defined to address the problem of multicollinearity. The two-parameter weighted mixed estimator is a general estimator that includes the weighted mixed estimator, the weighted mixed Liu estimator, and the weighted mixed ridge estimator. Detailed comparisons among the mentioned estimators are carried out based on the matrix mean square error. Theoretical findings are supported by two numerical examples in addition to a Monte Carlo simulation study.

Copyright In Film Adaptations: Protecting Moral Rights In The Age Of The Internet, Amanda Mell

UC Law SF Communications and Entertainment Journal

No abstract provided.

Mama Meant To Make You Cry: Who Protects Children From Their Parents’ Social Media Rage Bait?, Danya Hajjaji

UC Law SF Communications and Entertainment Journal

No abstract provided.

The Politics Of Rcra Criminal Enforcement, Joshua Ozymy, Melissa Jarrell Ozymy

UC Law Environmental Journal

Violations of federal environmental laws governing hazardous and solid wastes are typically remedied via civil methods, except in the case of crimes involving significant harm and culpable conduct, which can merit criminal prosecution. With historically varied commitments to environmental enforcement, we would generally expect substantive increases in prosecutions and penalties for these crimes under Democratic, as opposed to Republican presidents, but very little is known about the criminal enforcement of hazardous and solid waste crimes generally or how they vary under different partisan regimes. Through content analysis of 2,728 criminal prosecutions resulting from U.S. EPA criminal investigations, 1983-2021, we select …

Flood Education In Lewisburg, Ellie Torrisi, Emily Cook, Hanna Mozayeni

Final Reports in ENST 411: Environmental Community Projects

In partnership with Debra Sulai and Lewisburg Neighborhoods, the goal of this project is to build flood resilience and education in Lewisburg, Pennsylvania.  Lewisburg is located in a high-risk flood zone due to its proximity to the Susquehanna River, Miller Run, Buffalo Creek, and Limestone (Bull) Run. The Borough has experienced significant flooding throughout its history, most notably in 1972, when Tropical Storm Agnes devastated the town. Renters which comprise 65% of Borough residents, are less likely to be aware of flood risk. The goals of this project were to help increase awareness of flood risk, encourage residents and businesses …

The Buffalo Valley Rail Trail Extension: Community Perspectives, Connectivity, And Regional Development, Hannah Tran, Ella Grace Miller, Kenny Khanh Truong

Final Reports in ENST 411: Environmental Community Projects

This report examines community perspectives surrounding the proposed Buffalo Valley Rail Trail (BVRT) Extension, a project that seeks to transform an abandoned railroad bridge spanning the West Branch Susquehanna River into a multimodal pedestrian and bicycle connection between Lewisburg and Montandon, Pennsylvania. In addition to rehabilitating a historic piece of infrastructure, the project aims to improve regional connectivity, expand recreational access, enhance pedestrian and cyclist safety, and support long-term economic and community development across Union and Northumberland Counties. Using a community-based research framework, this study combines power mapping, semi-structured interviews, windshield surveys, and a large-scale public perception survey to better …

Updating Educational Materials For Dale's Ridge Trail, Hannah Klanderman, Ella Slayton, Hallie Mcclure, Kayleigh Long

Final Reports in ENST 411: Environmental Community Projects

We partnered with the Merrill W. Linn Land and Waterways Conservancy to produce an updated trail brochure for the Dale's Ridge Trail. Working alongside Conservation Coordinator, Rob Roberston, and volunteer graphic designer, Jessica Brothers, we were able to create a final draft of a brochure, currently in the final stages of reviewing before being sent off for printing. This brochure is a condensed version of the previous trail brochure, with more emphasis on visuals than text. Our group has also worked to set up the Conservancy to be able to produce a children's brochure, having led a group of students …

Judges’ Perceptions Of Self-Represented Litigants: Addressing A Growing Concern For The Judiciary, Thomas B. Hammond, Monica Miller

St. Mary's Law Journal

No abstract provided.

1st National University International Conference On Health Professions Education, Sultan Qaboos University

Sultan Qaboos University Medical Journal

No abstract provided.

Exploring The Experiences Of Patients Receiving Primary Care From Nurse Practitioners As A Substitute For Physicians In Community Health Centers, Brenda Eskridge

Walden Dissertations and Doctoral Studies

No abstract provided.

Predictors Of New Vaccine Introduction In Nigeria, Omotayo Giwa

Walden Dissertations and Doctoral Studies

No abstract provided.

Key Themes In Sino-American History, David J. Lorenzo, Ian Murphy

The US Army War College Quarterly: Parameters

This article examines how historical narratives shape the messaging of the Chinese Communist Party and the People’s Republic of China, particularly regarding Sino-American relations. It identifies three key historical themes—trade, discriminatory policies, and Taiwan—that are frequently invoked in China’s statements and information campaigns. By contextualizing these themes, the article argues that military and national security professionals need a deeper understanding of Sino-American history to interpret China’s messaging correctly and counter its influence effectively. The article advocates for the integration of Sino-American historical content into professional military education curricula to enhance strategic awareness and policy formulation.

A Survey Of Health Professions Learners’ Attitudes Towards Social Media In Medical Education: A Substance Use Disorders Education Case Study, Gregory A. Jaffe, Sarah Lawson, William Leach, Mallika Kodavatiganti, Erin Avanzato, Katherine Fesperman, Heather Klusaritz

Department of Family & Community Medicine Faculty Papers

BACKGROUND: Social media is a ubiquitous part of the modern world and plays a key role in the dissemination of information. While utilizing social media for educational purposes has been repeatedly demonstrated as feasible, it has been underutilized in medical education and remains a critical opportunity to integrate microlearning and stigma reduction curricula.

METHODS: A cross-sectional survey on social media usage, attitudes, and beliefs was sent to medical and nursing students at two large academic institutions within Philadelphia. Descriptive statistics are reported, and non-parametric tests were utilized for exploratory analyses.

RESULTS: Health learners were low consumers of social media, reporting …

An Overdue Message: Increasing Colorectal Cancer Screening Rates Among Black Residents Of Massachusetts, Lauren R. Ritterband

Capstones

Colorectal cancer is widely understood as a potentially devastating diagnosis. Late-stage diagnosis portends a high likelihood of morbidity and mortality, in stark contrast to survival rates for patients whose cancer is diagnosed when localized. Early detection through screening is therefore of critical importance. Black residents of Massachusetts have a higher incidence of colorectal cancer than white residents and are more likely to be diagnosed at stage four. Lower screening rates amongst Black residents represent one of multiple factors leading to worse morbidity and mortality from colorectal cancer. Despite clear recommendations from the US Preventive Services Task Force [USPSTF] that all …

Healthcare Leaders’ Information And Communication Technology Competencies Relationship To Their Information And Data Literacy Levels, Kenreka Tiwan Yeadon

Walden Dissertations and Doctoral Studies

No abstract provided.

Parameters, Usawc Press

The US Army War College Quarterly: Parameters

No abstract provided.

Rethinking Power: E. H. Carr’S Enduring Lessons For Modern Strategists, Brian J. Hasse

The US Army War College Quarterly: Parameters

This article argues E. H. Carr’s classic conception of power provides enduring lessons for national security, but these lessons are easily lost in application. Unlike much of the existing literature, this article emphasizes how modern conceptions of power convey an illusion of balance, while the national security bureaucracy constrains the effective synchronization of power. The analysis leverages both historical and contemporary case studies to identify what a balanced conception of power looks like in practice, with the hope of informing US national security strategy and policy in today’s complex security environment.

The State Of The Us Army, Richard D. Hooker Jr.

The US Army War College Quarterly: Parameters

This article argues that the US Army remains dangerously optimized for counterinsurgency, leaving it ill-equipped for a high-intensity ground war against near-peer adversaries like Russia or China. Unlike standard modernization literature that focuses solely on technology, this analysis highlights how bloated staffs and personnel policies that prioritize equity over battlefield excellence undermine combat readiness. The analysis evaluates 2026 force structure projections against current personnel metrics and acquisition timelines to identify systemic readiness gaps. The findings provide military and policy practitioners with actionable frameworks to reallocate personnel resources and address critical gaps in field artillery, electronic warfare, and short-range air defense …

The Paradox Of Ambition:Global South Leadership And Brazil's Stalled Rise To Global Power, Valentinna De Melo Ferrarini

Honors Theses

Brazil possesses the material resources, territorial size, and regional influence typically associated with global powers, yet remains excluded from recognition as one. This thesis examines how Brazil's leadership of the Global South has shaped and at times constrained its ambition to become more than a middle power. Using Wang and Chen's comprehensive national power measurements, it tracks Brazil's dramatic trajectory: a 72% increase in national power between 2005 and 2010, followed by a 43% decline by 2020. To explain this reversal, the thesis develops a delta framework identifying six key impediments: regional leadership failure, recognition deficit, military limitations, political instability, …

Composing Art For Reflexivity: Still Life Photography As A Medium For Reflexive Management Learning, Emi Makino, S. R. Aurora, Chantal Van Esch

Management Faculty Publications

Engaging in reflexive practice is crucial for both management students and professionals. Teaching the core skills of reflexivity can be difficult, however. We describe the Still Life Photo Exercise, a simple yet powerful reflexive activity grounded in art-based pedagogy. In this unconventional method for stimulating deep reflection and engaged discussion, students choose and arrange everyday objects into a work of art in line with a given theme, learning to critically reflect upon their lived experiences through creative skills, projective techniques, illustration of essence, and the physical act of making. The exercise’s versatility, its ability to draw out deep personal reflection …

Improved Oscillation Criteria For A Class Of Neutral Differential Equations In The Canonical Case, Abdulaziz Khalid Alsharidi, Ali Muhib

Turkish Journal of Mathematics

This paper develops an analytical framework based on comparison with first-order equations to derive new oscillation criteria for all solutions of a class of second-order differential equations with multiple delays. These criteria extend and improve upon previously published results. Illustrative examples are provided to validate the theoretical findings and to demonstrate the significance and applicability of the proposed criteria.

Oscillation Properties Of First-Order Difference Equations With Nonmonotone Delays: New Insights And Criteria, Emad Attia, George Chatzarakis

Turkish Journal of Mathematics

In this paper, we examine the oscillatory behavior of the first-order linear delay difference equation Δy(n) + p(n) y(τ(n)) = 0, n ∈ ℕ₀. It is known in the literature that, for any C > 0, the condition lim sup_n→∞ ∑_i=τ(n)ⁿ p(i) > C, with τ(n) nonmonotone, is not, in general, sufficient to establish the oscillation of the difference equation. We prove that, for certain classes of difference equations, the aforementioned condition is sufficient to ensure the …

On The Number Of Exact Factorization Of Finite Groups, Jesus Alonso Ochoa Arango, Maria Angelica Umbarila Martin

Turkish Journal of Mathematics

In this work, the function f2(G), which counts the number of exact factorizations of a finite group G, is studied. The value of  f2(G) is computed for several well-known families of finite groups, and an asymptotic expression is derived for the number of exact factorizations of the alternating group A2n .