Digital Commons Network^™

On The Reconstruction Of An Integro-Differential Dirac Operator With Parameter-Dependent Nonlocal Integral Boundary Conditions From The Nodal Data, Baki Keskin, Yu Ping Wang

Turkish Journal of Mathematics

We consider the integro-differential Dirac operator with parameter-dependent nonlocal integral boundary conditions. We derive the asymptotic expressions for the eigenvalues and the zeros of eigenfunctions (nodal points or nodes) and develop a constructive procedure for solving the inverse nodal problem for this operator.

Isometries Of Length 1 In Purely Loxodromic Free Kleinian Groups And Trace Inequalities, İlker Savaş Yüce, Ahmet Nedi̇m Narman

Turkish Journal of Mathematics

In this paper, we prove a generalization of a discreteness criteria for a large class of subgroups of PSL2(C) . In particular, given a finitely generated purely loxodromic free Kleinian group Γ = ⟨ξ1, ξ2, . . . , ξn⟩ for n ≥ 2, we show that |trace2(ξi) − 4| + |trace(ξiξjξ −1 i ξ −1 j ) − 2| ≥ 2 sinh2 ( 1 4 log αn ) for some ξi and ξj for i ̸= j in Γ provided that certain conditions on the hyperbolic displacements given by ξi , ξj and their length 3 conjugates formed by …

On The Oscillation And Asymptotic Behavior Of Solutions Of Third Order Nonlineardifferential Equations With Mixed Nonlinear Neutral Terms, Shaimaa Salem, Mohamed M. A. El-Sheikh, Ahmed Mohamed Hassan

Turkish Journal of Mathematics

This paper is concerned with the oscillation and asymptotic behavior of solutions of third-order nonlinear neutral differential equations with a middle term and mixed nonlinear neutral terms in the case of the canonical operator. We establish several oscillation criteria that guarantee that all solutions are oscillatory or converge to zero. The given results are obtained by applying the comparison method, the Riccati transformation and the integral averaging technique. The results improve significantly and extend existing ones in the literature. Finally, illustrative examples are given.

Modules Over Invertible 1-Cocycles, José Manuel Fernández Vilaboa, Ramon Gonzalez Rodriguez, Brais Ramos Pérez, Ana Belén Rodríguez Raposo

Turkish Journal of Mathematics

In this paper, we introduce in a braided setting the notion of left module for an invertible 1-cocycle and we prove some categorical equivalences between categories of modules associated to an invertible 1-cocycle and categories of modules associated to Hopf braces.

An Extension Of The Definition On The Compositions Of The Singular Distributions, Emi̇n Özçağ

Turkish Journal of Mathematics

Gelfand and Shilov give the definition of the composition δ(g(x)) for an infinitely differentiable function g(x) having any number of simple roots. In the paper, we consider their definition for an infinitely differentiable function having any number of multiple roots by using the method of the discarding of unwanted infinite quantities from asymptotic expansions and give some examples. Further, we define the compositions δ(g+) and δ(g−) for a locally summable function g(x).

Qualitative Results For A Generalized 2-Component Camassa-Holm System With Weak Dissipation Term, Nurhan Dündar

Turkish Journal of Mathematics

Our main aim in the current study is to examine the mathematical properties of a generalized 2-component Camassa-Holm system with a weakly dissipative term. Firstly, we acquire the theorem of well-posedness in locally for the generalized system with weak dissipation. Then, we demonstrate that this system can reveal the blow-up phenomenon. Finally, we acquire the theorem of global existence utilizing a method of the Lyapunov function.

Lightcone Framed Curves In The Lorentz-Minkowski 3-Space, Liang Chen, Masatomo Takahashi

Turkish Journal of Mathematics

For a nonlightlike nondegenerate regular curve, we have the arc-length parameter and the Frenet-Serret type formula by using a moving frame like a regular space curve in the Euclidean space. If a point of the curve moves between spacelike and timelike regions, then there is a lightlike point. In this paper, we consider mixed types of not only regular curves but also curves with singular points. In order to consider mixed type of curves with singular points, we introduce a frame, so-called the lightcone frame, and lightcone framed curves. We investigate differential geometric properties of lightcone framed curves.

Timelike Surfaces With Parallel Normalized Mean Curvature Vector Field In The Minkowski 4-Space, Victoria Bencheva, Velichka Milousheva

Turkish Journal of Mathematics

In the present paper, we study timelike surfaces with parallel normalized mean curvature vector field in the four-dimensional Minkowski space. We introduce special isotropic parameters on each such surface, which we call canonical parameters, and prove a fundamental existence and uniqueness theorem stating that each timelike surface with parallel normalized mean curvature vector field is determined up to a rigid motion in the Minkowski space by three geometric functions satisfying a system of three partial differential equations. In this way, we minimize the number of functions and the number of partial differential equations determining the surface, thus solving the Lund-Regge …

Special Subdiagrams Of Young Diagrams And Numerical Semigroups, Meral Süer, Mehmet Yeşi̇l

Turkish Journal of Mathematics

In this study, Young diagrams and their corresponding numerical sets are considered, and a new notion called special subdiagrams is described. Characterizations of special subdiagrams and their corresponding numerical sets, as well as the conditions when they are numerical semigroups, are provided. Young diagrams of symmetric, almost symmetric and Arf numerical semigroups are also considered and properties of their special subdiagrams are given.

Duality And Norm Completeness In The Classes Of Limitedly Lwc Anddunford–Pettis Lwc Operators, Ömer Şafak Alpay, Eduard Emelyanov, Svetlana Gorokhova

Turkish Journal of Mathematics

We study the duality and norm completeness in the new classes of limitedly L-weakly compact and Dunford–Pettis L-weakly compact operators from Banach spaces to Banach lattices.

Laguerre Type Twice-Iterated Appell Polynomials, Nesli̇han Bi̇ri̇ci̇k, Mehmet Ali̇ Özarslan, Bayram Çeki̇m

Turkish Journal of Mathematics

In this study, we use discrete Appell convolution to define the sequence of Laguerre type twice-iterated Appell polynomials. We obtain explicit representation, recurrence relation, determinantal representation, lowering operator, integro-partial raising operator and integro-partial differential equation. In addition, the special cases of this new family are investigated using Euler and Bernoulli numbers. We also state their corresponding characteristic properties.

Innovative Virtual Reality (Vr) Application For Preventing Of Falls Among Chinese Older Adults: A Usability And Acceptance Exploratory Study, Benson Ip

School of Health Professions

Objective. Full immersive virtual reality (VR) technology shows potential for reducing the risks of falls in older adults. There is yet little evidence to support the usability and acceptance on using VR technology application in community aged care service. The study reports on research that aims to address that gap by evaluating the usefulness and acceptance of using an innovative VR application among Chinese older adults from Hong Kong. Methods. A single-arm exploratory study was conducted to evaluate how the participants experienced the use of a fully immersive cave automatic virtual environment (CAVE) VR program on fall prevention. Thirty-one participants …

The Insidious War Powers Status Quo, Rebecca Ingber

Articles

This Essay highlights two features of modern war powers that hide from public view decisions that take the country to war: the executive branch’s exploitation of interpretive ambiguity to defend unilateral presidential authority, and its dispersal of the power to use force to the outer limbs of the bureaucracy.

Enhancing The Employability Of Business School Graduates, Ishrat Husain Dr.

Faculty Research - Talks, Speeches, & Discourse

Dr. Ishrat Husain delivered a keynote at the International Conference on Business, Economics and Management (ICBEM-24), Sukkur IBA University, on March 8, 2024. He highlighted the disconnect between industry requirements and the skills of business school graduates, drawing on survey data and national observations. The address emphasized global megatrends, institutional responsibilities, and strategies to enhance graduate employability in an uncertain world.

Evaluation Of Perioperative Care And Drivers Of Cost In Geriatric Thoracolumbar Trauma, Omar Tarawneh, Rajkishen Narayanan, Michael Mccurdy, Tariq Issa, Yunsoo Lee, Olivia Opara, Nicholas Pohl, Alexa Tomlak, Matthew Sherman, Jose Canseco, Alan Hilibrand, Alex Vaccaro, Gregory Schroeder, Christopher Kepler

Department of Orthopaedic Surgery Faculty Papers

INTRODUCTION: As the population of elderly patients continues to rise, the number of these individuals presenting with thoracolumbar trauma is expected to increase.

RESEARCH QUESTION: To investigate thoracolumbar fusion outcomes for patients with vertebral fractures as stratified by decade. Secondarily, we examined the variability of cost across age groups by identifying drivers of cost of care.

MATERIALS AND METHODS: We queried the United States Nationwide Inpatient Sample(NIS) for adult patients undergoing spinal fusion for thoracolumbar fractures between 2012 and 2017. Patients were stratified by decade 60-69(sexagenarians), 70-79(septuagenarians) and 80-89(octogenarians). Bivariable analysis followed by multivariable regression was performed to assess independent …

“It Is Luring You To Click On The Link With False Advertising” - Mental Models Of Clickbait And Its Impact On User’S Perceptions And Behavior Towards Clickbait Warnings, Ankit Shrestha, Arezou Behfar, Mahdi Nasrullah Al-Ameen

Computer Science Student Research

Clickbait, a social engineering attack performed through social media, tricks users through sensationalized or misleading posts into clicking on links that direct them to malicious websites. With the recent boom in social media, clickbait has become a substantial security concern, necessitating efforts from platforms and academia to control it. Despite these attempts, clickbait is effective due to the lack of users’ knowledge. Therefore, we explore user mental models (thought processes about how something works) about clickbait to analyze their deficiencies and their influences on users’ behavior towards clickbait warnings. To this end, we conducted an online study with 770 participants …

University Libraries Impact Report 2023, Leslie Haynsworth, Kristine Hontz

University Libraries Policies and Reports

A report on notable activities in University of South Carolina Libraries in 2023.

Filling The Potholes Of Pretextual Traffic Stops: A Better Road Forward For Ohio, Jordan Weeks

Cleveland State Law Review

The Fourth Amendment was one of the driving forces behind the United States Revolution. This Amendment generally protects individuals against “unreasonable” searches and seizures. But what does “reasonable” mean in the context of a traffic stop?

In 1996, the U.S. Supreme Court in Whren v. United States tried answering this question. In so doing, the Court determined that pretextual traffic stops are “reasonable.” Pretextual traffic stops occur where an officer stops a vehicle and cites a lawful reason for the stop, yet the underlying reason is unlawful. The Whren Court determined that an officer’s intent is completely irrelevant to whether …

Tractor Beams And Disease: Probing Repeat Rna Structure Through Single Molecule Force Spectroscopy, Joshua Webster-Ford

Undergraduate Honors Theses

Huntington’s Disease is characterized by an extended (CAG)n repeat found in the huntingtin (Htt) gene. While the typical human contains 6-20 CAG repeats, people with over 36 repeats manifest symptoms of the disease. The extended CAG repeats allow the Htt pre-mRNA transcript to form a hairpin loop structure which can sequester certain vital proteins such as Muscleblind like protein 1 (MBNL1), hindering their functional role. Further understanding the structure of the MBNL1-RNA complex is possible through force spectroscopy, or “optical tweezers”, applied on the single molecule level. Force spectroscopy generates force versus distance plots for individual RNA molecules, revealing the …

The Decline Of The Non-Hispanic White Population In The United States Of America, Richard R. Verdugo, David A. Swanson

Publications, Reports and Presentations

Objectives: The question of a declining non-Hispanic white (NHW) population has sparked debate in the United States. In examining this question, three bodies of research have emerged. One group reports that the decline is real, a second argues that it is an illusion, and the third provides evidence that the decline is concentrated within socio-economic segments of the NHW population. We use the third groups’ insight as the starting point for our research objective. Methods: In conjunction with data from Census Bureau sources, we use a series of Regression Models in this inquiry. Results: Our results show that the decline …

Fort Hays State University Tiger Weekly, March 08, 2024, University Relations

Tiger Weekly Newsletters

No abstract provided.

Development Of Quantitative Structure Activity Relationships (Qsars) For Predicting The Aggregation Of Tio2 Nanoparticles Under Favorable Conditions, Jaewoong Lee

Department of Civil and Environmental Engineering: Faculty Publications

This study developed multi-linear regression (MLR) quantitative structure-activity relationships (QSARs) to predict n-TiO₂ aggregation in the presence of high concentrations of representative emerging organic contaminants (EOCs), which presented favorable conditions to interaction with n-TiO₂. The largest diameter change (Δ 517 nm at 0 h and Δ 1164 nm at 12 h) of n-TiO₂ was observed by estrone, while the smallest diameter change (Δ -114 nm at 0 h and – 4 nm at 12 h) was observed by lincomycin during experimental periods. In addition, the zeta potential changes of n-TiO₂ were …

Challenges And Opportunities In Electrification Of Adsorptive Separation Processes, Abdullah Al Moinee, Ali A. Rownaghi, Fateme Rezaei

Chemical and Biochemical Engineering Faculty Research & Creative Works

A global energy transition from fossil-based to renewable-based systems requires advancements in various energy sectors. Current chemical separation processes are quite energy-intensive and require significant advancement to make this transition happen. In the energy transition era, reducing the dependency of separation processes on fossil-based thermal energy seems inevitable for transitioning smoothly and meeting the stringent timelines. In particular, adsorption-based separation processes have the potential to be fully electrified through innovative strategies in developing stimuli-responsive adsorbents and swing processes. In this review, we discuss the recent efforts in electrification of adsorption processes and provide an overview of emerging materials and processes. …

Nonprofit Leader Experiences In Sector-Bending After Lean Six Sigma Training: Tension, Concepts, And Changed Behaviors, Beverly Codallos

Dissertations

Government, business, and nonprofit represent three distinct types of organizations governed by different legal frameworks designed to facilitate collective action (DiMaggio & Anheier, 1990). The emergence of hybrid forms and increasing isomorphic pressures in the nonprofit sector (Bromley & Meyer, 2017; McCambridge, 2014) have challenged the traditional separation of organizational forms. This study explored the phenomenon popularized as sector-bending, “a wide variety of approaches, activities, and relationships that are blurring the distinctions between nonprofit and for-profit organizations, either because they are behaving more similarly, operating in the same realms, or both” (Dees & Anderson, 2003, pg. 16). This qualitative study …

Existence Of Solutions By Coincidence Degree Theory For Hadamard Fractionaldifferential Equations At Resonance, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, Satyam Narayan Srivastava

Turkish Journal of Mathematics

Using the coincidence degree theory of Mawhin and constructing appropriate operators, we investigate the existence of solutions to Hadamard fractional differential equations (FRDEs) at resonance { − (HDγu ) (t) = f(t, u(t)), t ∈ (1, e), u(1) = 0, u(e) = ∫ e 1 u(t)dA(t), where 1 < γ < 2, f : [1, e]×R2 → R satisfies Carathéodory conditions, ∫ e 1 u(t)dA(t) is the Riemann–Stieltjes integration, and (HDγu ) is the Hadamard fractional derivation of u of order γ . An example is included to illustrate our result.

Ptsd As A Mediator Of The Relationship Between Police Discrimination And Family Relationship Among Black Americans, Mary A. Camper

Walden Dissertations and Doctoral Studies

Police discrimination among Black Americans has been an ongoing trend for many years. Researchers have linked police discrimination to a traumatic experience that may result in Post Traumatic Stress Disorder (PTSD) symptoms. In addition, researchers found that PTSD symptoms may impact the family relationship negatively. This quantitative study examined whether PTSD symptoms mediated the relationship between experiences of police discrimination and family relationships. The family system theory and the critical race theory guided this study. The family system theory described how one family member affects the whole family unit. The critical race theory described the systems that are in place …

The Relationship Between Social Stigma And Career Decisions Of Individualized And Freelance Male Sex Workers, Luis Miguel Dos Santos, Ho Fai Lo

The Qualitative Report

Switching from a white-collar professional to a sex worker is not an easy step, particularly for individuals with a postgraduate degree in South Korea who may have significant expectations from their parents, peers, and communities. Based on the social stigma theory and social cognitive career and motivation theory, this study aims to understand how stress and pressure impact the motivations, career decisions, and decision-making processes of individualized and freelance male sex workers and their career transition experiences in South Korea. Based on the thematic analysis, ten highly educated male sex workers joined and shared their experiences. The researchers categorized three …

“It’S Always An Admixture Of So Many Identities”: Interpretative Phenomenological Analysis Of Indigenous Kalasha Cultural Identity, Fahad Riaz Choudhry Dr, Karen Jennifer Golden, Miriam Sang-Ah Park

The Qualitative Report

This case study examined how an Indigenous Kalasha participant in northern Pakistan makes sense of his multi-faceted identity. The interpretative phenomenological analysis method was used to analyze data from an in-depth, single person case study. Our selected participant was a 36-year-old male postgraduate student from an Indigenous marginalized tribe, which is an ethnic and religious minority group in the northern Hindukush mountain region of Pakistan. Results are presented in four superordinate themes: (1) Identity: admixture of a number of identities, (2) Changing culture and its psychological impact, (3) Cultural protective factors against psychological problems and (4) Mental health perspective. …

Agential Cuts For Justice: Honoring Complexity In Research Through Intersectional Design Dimensions, Nadia Behizadeh

The Qualitative Report

This article explores the complexity and challenges of making decisions regarding which theories and social categories (e.g. race, class) should be emphasized in justice-centered research that includes participants’ identities as key variables in the design. Drawing on theories of intersectionality, agential realism, and complexity, the author proposes four intersectional design dimensions to help justice-centered researchers honor complexity: reflection on self and purpose; making agential cuts; complexifying social categories; and intersectional and collaborative re-view. Each dimension is illustrated with theory and empirical examples, mostly drawing from the field of educational research. By attending to and continually revisiting agential cuts related to …

Missing Pieces: Gaps In The Record Of Early American Decisional Law, Andrew Willinger

Duke Law Journal Online

In its most recent major Second Amendment decision, New York State Rifle & Pistol Association v. Bruen, the Supreme Court suggested that historical laws “rarely subject to judicial scrutiny” are not especially illuminating because “we do not know the basis of their perceived legality.” Legal scholars have defended Bruen’s approach to historical evidence in part by arguing that the decision requires merely an artificially-limited historical inquiry into internal legal sources to discern overarching principles accepted across the country in the Founding Era. But modern-day lawyers and judges actually know far less than they might believe about whether certain laws were …