Digital Commons Network^™

On The Existence Of Solutions For Nonlinear Third-Order Q-Difference Equations With Boundary Conditions Involving Q-Integrals, İlker Gençtürk

Turkish Journal of Mathematics

In this research, we focus on investigating the existence of solutions for a q-integral boundary value problem associated with third-order nonlinear q-difference equations. To achieve this, we employ two fundamental mathematical tools: the Banach contraction principle and Krasnoselskii’s fixed point theorem, which provide the theoretical framework for our analysis. Furthermore, to illustrate the applicability and robustness of our results, we present and discuss several concrete examples that highlight the practical implications of the proposed methods.

Classifications Of Gradient Almost Ricci Solitons Within The Framework Of Closed Conformal Vector Fields, Akram Ali, Fatemah Mofarreh, Jae Won Lee

Turkish Journal of Mathematics

In this paper, we consider gradient almost Ricci solitons with nonparallel closed conformal vector fields. We classify gradient almost Ricci solitons and show that a complete, noncompact gradient almost Ricci soliton admitting a nonparallel closed conformal vector field, is locally a warped product with Einstein fibers, while in the second case, under additional hypothesis, gradient almost Ricci soliton is totally umbilical if and only if it has constant scalar curvature.

On Trinomial Units Of The Group Ring RcN, César A. Hernandez Melo, Fernanda Diniz De Melo Hernandez, Patricia Massae Kitani

Turkish Journal of Mathematics

Let R be an associative ring with identity, C_n be the cyclic group of order n, and g be a generator of C_n. In this manuscript, for i ∈ N such that 1 ≤ i < n and gcd(i, n) = 1, the algebraic properties of the trinomial elements h_i = -1 + g + g^-i in the group ring RC_n are investigated. More precisely, necessary and sufficient conditions are given for an element h_i to be a unit in RC_n. When h_i is a unit, explicit formulas for computing …

End-Regular Flower Graphs CR,S, Joerg Koppitz, Suparat Phantukang, Phurinut Srisawad, Somnuek Worawiset

Turkish Journal of Mathematics

In the present paper, we study the regularity of the endomorphism monoid of a class of graphs, which generalizes the cycle graph. We give a complete list of all end-regular r × s flower graphs. In particular, for an odd integer s ≥ 3, the s × s flower graph Cs,s has a regular endomorphism monoid, i.e., Cs,s is end-regular. For Cs,s, s ≥ 3 odd, we determine the cardinality and the rank of its endomorphism monoid (including a generating set of minimal size).

Generalized Szász–Mirakyan Operators In The Variation Seminorm, Sare Yumruçali, Harun Karsli, Fatma Taşdelen Yeşi̇ldal

Turkish Journal of Mathematics

The aim of the present paper is to introduce generalized Szász–Mirakyan operators. This article studies the property of variation seminorm and some approximation properties of generalized Szász–Mirakyan operators not only in normed spaces but also in variation seminorm. We obtain convergence properties of our operators using of Korovkin’s theorem and the order of convergence by using a classical approach, the second modulus of continuity and Peetre’s K functional. We also give asymptotic formula and the convergence of the derivatives for these operators. We investigate the variation detracting property of generalized Szász–Mirakyan operators. We show the convergence of generalized Szász–Mirakyan operators …

Some Properties Of Nabla Laplace Transform On Isolated Time Scales, Müfi̇t Şan, Huri̇ye Dağ, Manuel D. Ortigueira

Turkish Journal of Mathematics

This study presents the properties of the bilateral and unilateral nabla Laplace transform, defined on isolated time scales. Furthermore, it explores the nabla Laplace transforms of several elementary functions, employing various proof techniques from real and complex analysis. The findings are illustrated with examples, demonstrating the applicability of these definitions.

From Rough Categories To Rough Groupoids, Mehmet Mustafa Beydaği, Abdullah Fati̇h Özcan, İlhan İçen

Turkish Journal of Mathematics

In this study, we introduce the concepts of rough category and rough groupoid by combining the concepts of category theory and groupoid with rough set theory. We present some properties and examples of these concepts, which are discussed for the first time. Additionally, by defining a rough functor among the rough categories, the category of rough categories were created. Moreover, rough groupoid homomorphism, rough action groupoid, and category of the rough groupoids have been examined algebraically and introduced to the literature.

An Investigation Of New Associated Curves Of A Frenet Curve In Euclidean N-Space, Bedi̇a Meri̇h Özçeti̇n

Turkish Journal of Mathematics

In this study, we introduce the V2-direction curve, Vn−1-direction curve and Vn-direction curve of a Frenet curve in n-dimensional Euclidean space. We provide characterizations and investigate the relationships between the Frenet apparatus of the principal curve and the corresponding apparatus of the direction curves. We also present an application for all direction curves with the results shown using computer code implemented in MATLAB.

New Structures Of Golden Type On The Tangent Bundle, Simona-Luiza Druta-Romaniuc, Cristina-Elena Hretcanu, Aydin Gezer

Turkish Journal of Mathematics

The aim of our paper is to prove the existence of some types of almost (α, p)–golden structures, obtained as general natural lifts of the Riemannian metric from the base manifold M to the total space TM of the tangent bundle. We show that TM, endowed with a general natural almost (α, p)–golden structure (which is a generalisation of the golden structure) and with a general natural metric, is an almost (α, p)–golden Riemannian manifold if and only if the function coefficients of the almost (α, p)–golden structure are related to …

Corrigendum To “ Improved Berezin Radius Inequalities For Functional Hilbert Space Operators” [Turkish Journal Of Mathematics 49 (5) 2025 545-561], Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari

Turkish Journal of Mathematics

In the article entitled Improved Berezin radius inequalities for functional Hilbert space operators, published in the Turkish Journal of Mathematics, [49 (5): 545-561. https://doi.org/10.55730/1300-0098.3607], the affiliation of the author MOHAMMAD W. ALOMARI was published incorrectly due to an error at the submission stage. The incorrect affiliation was Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid, Jordan T he correct affiliation is Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan T he authors apologize for any inconvenience caused.

The original article can be accessed at: https://doi.org/10.55730/1300-0098.3607

Monotone Positive Solutions Of Impulsive Differential Equations Asymptotic To Nonprincipal Solutions, Si̇bel Doğru Akgöl, Ağacik Zafer

Turkish Journal of Mathematics

This study investigates the asymptotic behavior of monotone positive solutions for a general class of nonlinear second-order impulsive differential equations. By employing the principal and nonprincipal solutions of the associated homogeneous equation, we establish the existence of a monotone positive solution asymptotic to a nonprincipal solution at infinity. To achieve this, we also prove a compactness criterion for an effective use of Schauder’s fixed-point theorem. Under suitable conditions, similarly to the classical case, it is demonstrated that a monotone positive solution asymptotic to a nonprincipal solution exists. A concrete example is given to illustrate the results.

Cv: Cynthia Howard (Computer Science), Cynthia Howard

ECaMS Department Faculty Curricula Vitae

No abstract provided.

A Blockchain-Enabled Deep Learning Framework For Secure Omics Data Sharing And Attack Detection, Don Roosan, Md Rahatul Ashakin, Rubyat Kahn, Mazharul Karim

Computer and Data Science Faculty Publications

No abstract provided.

Nepenthes Megastoma (Nepenthaceae), A Micro-Endemic Pitcher Plant From Puerto Princesa Subterranean River National Park, Palawan, Philippines, John Charles A. Altomonte, John Paul R. Collantes, Vernaluz Mangussad, Rene Alfred Anton Bustamante, Alastair S. Robinson

Environmental Science Faculty Publications

Nepenthes megastoma is described and illustrated as a new species from the Puerto Princesa Subterranean River National Park, a UNESCO World Heritage Site in Palawan Philippines. This carnivorous tropical pitcher plant is currently known from just three locations in the Mount Saint Paul karst formation, where it grows on vertical limestone walls. Morphologically, N. megastoma is characterised by its highly branched stems, campanulate pitchers, peltate tendril exsertion, dimorphic upper pitchers, and unidirectionally upturned female flowers. It is assessed as Critically Endangered under the IUCN Red List criteria, based on its restriction to three subpopulations comprising few total individuals. Pitcher morphology …

Artificial Intelligence (Ai) And The Anthropic Economic Index In The Mountain West, 2025, Cason Noll, Olivia K. Cheche, William E. Brown Jr.

Economic Development & Workforce

This fact sheet presents 2025 data on the state of artificial intelligence (AI) adoption among the five Mountain West states of Arizona, Colorado, Nevada, New Mexico, and Utah. The data are sourced from the “Anthropic Economic Index,” which provides data on Claude.ai (an AI large language model) and its adoption across all 50 U.S. states and Washington, D.C. This fact sheet focuses on Claude.ai usage, the most common topic Claude.ai has been used for, and augmentation and automation shares for each Mountain West state.

Re: Medical Monitoring Working Group Meeting Minutes, Mike Mcanulty, Eric Hassler

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Data Cleaning With Excel, Rubab Shahzad

Day Family Research Lab Workshop Series

This workshop will delve into the importance of cleaning research data and why clean data is an important part of the larger research data lifecycle. This session will also provide an overview of data cleaning and preprocessing using Microsoft Excel including a hands-on demonstration.

Scroll down for practice file

User Interface And Watchstation Improvements Required For Multi-Vehicle Usv Operations, Val Schmidt, Joshua Bergeron

Faculty Publications

In October 2024, the University of New Hampshire and NOAA’s Uncrewed Systems Office embarked on a mapping mission in the Gulf of Maine, simultaneously operating two DriX Un-crewed Surface Vehicles. Goals of the project were focused on testing hypotheses related to concepts of operation, including the safety of operations, cognitive loading of operators, management of vehicle endurance, vehicle logistics, maintenance and field support, refueling and a host of others.

Sustainability As Global Citizenship: Creating High-Impact Learning Experiences In The Honors College, Timothy Jussaume Dr.

Sustainability Research & Practice Seminar Presentations

Dr. Timothy Jussaume, Honors College, presents "Sustainability as Globl Citizenship: Creating High-Impact Learning Experiences in the Honors College."

Sigma-Hole-Supported Interactions In Complexes Of Group 5 Oxyhalides (Mox3) With Insights For Their Extended Solids, Donovan Hoilette Jr., Gabriel F. Stewart, Kelling J. Donald

Chemistry Faculty Publications

The existence and nature of sigma hole type interactions in inorganic extended solids remain largely unexamined, even though the influence of such interactions for heteroorganic compounds is well known. The series of group 5 MOX₃oxyhalides are intriguing in this regard since several of the known crystal structures are molecular solids with highly polarized M centers. We examine computationally the bonding in the isolated MOX₃ molecules and their smallest clusters (MOX₃)_nwhere M = V, Nb, and Ta, and X = H, F, Cl, Br, and I. That investigation provides us with substantial evidence, based …

Likelihoods For Stochastic Gravitational Wave Background Data Analysis, Gabriele Franciolini, Mauro Pieroni, Angelo Ricciardone, Joseph D. Romano

Physics & Astronomy Faculty Publications

We present a systematic study of likelihood functions used for stochastic gravitational wave background (SGWB) searches. By dividing the data into many short segments, one customarily takes advantage of the central limit theorem to justify a Gaussian cross-correlation likelihood. We show, with a hierarchy of ever more realistic examples—beginning with a single frequency bin and one detector, and then moving to two and three detectors with white and colored signal and noise—that approximating the exact Whittle likelihood by various Gaussian alternatives can induce systematic biases in the estimation of the SGWB parameters. We derive several approximations for the full likelihood …

Exploratory Study Of Semiconductor Nanomembranes In Em Applications, Grant D. Heileman

Electrical and Computer Engineering ETDs

Antenna systems are a cornerstone of modern technologies, playing an increasingly vital role in their advancement. As demand for compact, high-performance, and adaptable communication platforms grows reconfigurable antenna technologies are becoming essential. This research explores a novel front-end reconfigurable antenna system (FERAS) architecture that leverages the mechanical flexibility and photoconductive behavior of semiconductor nanomembrane (SNM) devices. By exploiting the emergent properties of ultra-thin silicon (Si) or gallium arsenide (GaAs) nanomaterials and optically exciting these samples using vertical-cavity surface-emitting laser (VCSEL) arrays, this study develops lightweight, low-cost, deployable antenna structures for satellite communications, remote sensing, GPS, and radar. Despite their significant …

Life As An Intern For Njit Stem For Success, Christopher Tava

STEM Month

I joined the STEM for Success Team in May 2023 with two main goals. The first goal was to reach 100 hours worth of contributions, as part of a mandatory internship requirement to graduate from the Academy for Mathematics, Science, & Engineering (AMSE). I reached that goal by early October 2023, although I have been motivated to continue my work with NJIT beyond that hour target. The second goal was to accomplish something that I was proud of with the resources that the New Jersey Institute of Technology (NJIT) provided me. I had heard of former students of AMSE that …

Problems In Extremal Graph Theory And Spectral Graph Theory, Fareeha Jamal

Thesis/ Dissertation Defenses

Spectral graph theory is a subfield of algebraic graph theory that studies the matrices associated with graphs. It lives at the nexus of Linear Algebra and Combinatorics. Many intriguing results in the domains of Matrix Theory and Combinatorics have come from studying the eigenvalues of graph matrices; in fact, several open problems in both areas have been resolved. Beyond its theoretical appeal, spectral graph theory has found meaningful applications in theoretical chemistry, particularly in the mathematical classification of chemical graphs. These classifications underpin quantitative structure–property relationships (QSPRs), facilitating the prediction of physicochemical properties such as enthalpy of vaporization, molar refractivity, …

Cv: Ryan Hooper (Physics), Ryan Hooper

Physics Department Faculty Curricula Vitae

No abstract provided.

Spatial Patterns Of Salamander Density Across Human Disturbance Gradients In Warner Parks​, Siobhan M. Day

Science University Research Symposium (SURS)

Amphibians are sensitive to anthropogenic disturbance, making them valuable indicators of recreational impacts in urban parks. This study examines salamander occurrence across five research sites within Warner Parks, Nashville, Tennessee, which differ in trail density and foot traffic intensity. Salamander observations were compiled from two sources: field surveys conducted in Summer 2025 and iNaturalist records spanning the past 10 years. For spatial analysis, each site was defined by a 200 m radius buffer to include local habitat, and trail networks were further buffered at 10 m, 25 m, and 50 m to quantify salamander occurrence relative to trail proximity using …

Music's Effect On The Mental Health Of Differing Age Groups, Margaret Cleve, Kaniyah Newborn, Luke Magro

Science University Research Symposium (SURS)

Mental health disorders are a significant concern in today’s society. Music therapy has been shown to be an effective intervention for conditions such as anxiety, obsessive-compulsive disorder (OCD), depression, and insomnia. However, it is not clear if the benefits function the same across different ages. The present study examined the influence of music on mental health across age using a publicly available dataset from Kaggle.com. We hypothesized that music listening would be associated with improved mental health outcomes regardless of age and that increased listening time would correlate with lower anxiety and depression. Results indicated that daily hours of music …

Cv: Jake Cho (Computer Science), Jake Cho

ECaMS Department Faculty Curricula Vitae

No abstract provided.

Postmortem Vitreous Humor As An Alternative Matrix To Peripheral Blood For Benzodiazepine Detection, Sara Bussey

Honors Theses

Benzodiazepines are commonly prescribed secondary drugs of abuse that cause Central Nervous System depression through the neurotransmitter gamma aminobutyric acid. While not commonly fatal on their own, benzodiazepines have a minor risk for physical dependence and abuse. They also can have cumulative effects with other medications that can lead to overdose situations; thus, they are considered secondary drugs of abuse. While peripheral blood is considered the standard for xenobiotic detection in postmortem forensic toxicology, it is important to consider the validity of alternative matrices that could be analyzed in the event that blood was not available due to circumstances like …

Fabrication Of Robust And Durable Superamphiphobic Aluminum Alloy And Zinc Surfaces Via Dual Sandblasting And Steam Treatment, Laylan Hassan, Saadi Nawzat, Tansel Karabacak

Faculty Scholarship

We present a scalable and environmentally friendly method for fabricating mechanically robust superamphiphobic coatings on aluminum alloy and zinc substrates using a dual-step process combining sandblasting (SB) and steam treatment (ST), followed by surface energy reduction with fluorinated molecules. This approach creates hierarchical micro/nano structures essential for omniphobic performance. On Al-alloy SB + ST surfaces we measured static contact angles of 162.0° (water), 156.1° (ethylene glycol), and 154.4° (peanut oil), while the corresponding Zn surfaces reached 160.1°, 156.0°, and 152.8°, respectively, with sliding angles below 5° across all tested liquids. The coatings retained high repellency after 50 tape- peeling cycles …