Digital Commons Network^™

Some Fractional Dirac Systems, Yüksel Yalçinkaya

Turkish Journal of Mathematics

In this work, including $\alpha\epsilon(0,1)$; we examined the Dirac system in the frame which includes$\ \alpha$ order right and left Reimann-Liouville fractional integrals and derivatives with exponential kernels, and the Dirac system which includes $\alpha$ order right and left Caputo fractional integrals and derivatives with exponential kernels. Furthermore, we have given some definitions and properties for discrete exponential kernels and their associated fractional sums and fractional differences, and we have studied discrete fractional Dirac systems.

Existence And Multiplicity For Positive Solutions Of A System Of First Order Differential Equations With Multipoint And Integral Boundary Conditions, Le Thi Phuong Ngoc, Nguyen Thanh Long

Turkish Journal of Mathematics

In this paper, we state and prove theorems related to the existence and multiplicity for positive solutions of a system of first order differential equations with multipoint and integral boundary conditions. The main tool is the fixed point theory. In order to illustrate the main results, we present some examples.

Biharmonic Pnmcv Submanifolds In Euclidean 5-Space, Rüya Şen, Nuretti̇n Cenk Turgay

Turkish Journal of Mathematics

In this article, we study 3-dimensional biconservative and biharmonic submanifolds of $\mathbb{E}^5$ with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into $\mathbb{E}^5$ can be determined intrinsically. Then, we complete the proof of Chen's biharmonic conjecture for PNMCV submanifolds of $\mathbb{E}^5$.

Duality Approach To The Regularity Problems For The Navier-Stokes Equations, Grigory Seregin

Turkish Journal of Mathematics

In this note, we describe a way to study local regularity of a weak solution to the Navier-Stokes equations, satisfying the simplest scale-invariant restriction, with the help of zooming and duality approach to the corresponding mild bounded ancient solution.

Three-Dimensional Homogeneous Contact Metric Manifold With Weakly $\Eta$-Einstein Structures, Sun Hyang Chun, Yunhee Euh

Turkish Journal of Mathematics

In this paper, we determine the geometric structures of 3-dimensional weakly $\eta$-Einstein almost contact metric manifolds and classify 3-dimensional weakly $\eta$-Einstein simply connected homogeneous contact metric manifolds based on Perrone's classification.

Asymptotic Behaviour Of Hyperbolic Partial Differential Equations, Shi-Zhuo Looi

Theses and Dissertations--Mathematics

We investigate the asymptotic behaviour of solutions to a range of linear and nonlinear hyperbolic equations on asymptotically flat spacetimes. We develop a comprehensive framework for the analysis of pointwise decay of linear and nonlinear wave equations on asymptotically flat manifolds of three space dimensions that are allowed to be time-varying or nonstationary, including quasilinear wave equations. The Minkowski space and time-varying perturbations thereof are included among these spacetimes. A result on scattering for a nonlinear wave equation with finite-energy solutions on nonstationary spacetimes is presented. This work was motivated in part by the investigation of more precise asymptotic behaviour …

Droughtscape, Winter 2023, National Drought Mitigation Center

DroughtScape: Quarterly Newsletter of the National Drought Mitigation Center (2007–2023)

DroughtScape, Winter 2023

Investigating Changes In Permeability Caused By The Transport And Retention Of Microplastics In Saturated Sand Columns, Iliansherry Santiago

Graduate Research Theses & Dissertations

Microplastics (MPs), plastic particles present and continuously moving in our environment, represent a contaminant of global concern to the scientific community and society. MPs are particles less than 5 mm and are ubiquitous in our surroundings and the environment. MPs have been detected in oceans, soils, freshwater, drinking water and groundwater. MPs are considered contaminants of emerging concern (CEC), as they contain toxic components and serve as carriers for other contaminants that may affect the ecology and human health. Limited laboratory and field experiments demonstrate that MPs are transported and retained in porous media of a groundwater aquifer. A research …

Integrated Vs. Specialized Farming Systems For Sustainable Food Production: Comparative Analysis Of Systems’ Technical Efficiency In Nebraska, Maroua Afi, Jay Parsons

Department of Agricultural Economics: Faculty Publications

Complementarities between crops and livestock production have the potential to increase input use efficiency and maintain a diversified livelihood. This paper uses non-parametric data envelopment analysis (DEA) to assess the technical efficiency (TE) of integrated crop–livestock systems (ICLS) compared to specialized cropping and specialized livestock systems in the state of Nebraska, in the central United States. We classify each county of Nebraska into one of three systems according to their dominant agricultural production revenues. We use DEA to measure the TE of each county compared, first, to a group production frontier (in-system comparison) and second, to a metafrontier (cross-system comparison). …

Section Iii: Collections (Evidence), Usf Libraries

SACSCOC 2025

No abstract provided.

Towards 6g: Key Technological Directions, Chamitha De Alwis, Pardeep Kumar, Quoc-Viet Pham, Kapal Dev, Ashuman Kalla, Madhusanka Lianage, Woo-Joo Hwang

Department of Mathematics Publications

Sixth-generation mobile networks (6G) are expected to reach extreme communication capabilities to realize emerging applications demanded by the future society. This paper focuses on six technological directions towards 6G, namely, intent-based networking, THz communication, artificial intelligence, distributed ledger technology/blockchain, smart devices and gadget-free communication, and quantum communication. These technologies will enable 6G to be more capable of catering to the demands of future network services and applications. Each of these technologies is discussed highlighting recent developments, applicability in 6G, and deployment challenges. It is envisaged that this work will facilitate 6G related research and developments, especially along the six technological …

Co-Existence With Ieee 802.11 Networks In The Ism Band Without Channel Estimation, Muhammad Naveed Aman, Muhammad Ishfaq, Biplab Sikdar

School of Computing: Faculty Publications

Any new deployment of networks in the industrial, scientific, and medical (ISM) band, even though it is license-free, has to co-exist with IEEE 802.11 networks. IoT devices are typically deployed in the ISM band, creating a spectrum bottleneck for competing networks. This paper investigates the issue of co-existence of wireless networks with WiFi networks. In our scenario, we consider WiFi as the “primary” or higher priority network co-existing with multiple “secondary” networks that may be used for low priority devices, with both networks operating in the ISM band. Towards this end, we first develop an analytical model for a metric …

On Approximating Total Variation Distance, Arnab Bhattacharyya, Sutanu Gayen, Kuldeep S. Meel, Dimitrios Myrisiotis, A. Pavan, N. V. Vinodchandran

School of Computing: Faculty Publications

Total variation distance (TV distance) is a fundamental notion of distance between probability distributions. In this work, we introduce and study the problem of computing the TV distance of two product distributions over the domain {0, 1}ⁿ. In particular, we establish the following results.

1. The problem of exactly computing the TV distance of two product distributions is #P-complete. This is in stark contrast with other distance measures such as KL, Chisquare, and Hellinger which tensorize over the marginals leading to efficient algorithms.
2. There is a fully polynomial-time deterministic approximation scheme (FPTAS) for computing the TV distance of two …

An Efficient And Low-Cost Method To Create High-Density Nitrogen-Vacancy Centers In Cvd Diamond For Sensing Applications., Prem Bahadur Karki, Rupak Timalsina, Mohammadjavad Dowran, Ayodimeji E. Aregbesola, Abdelghani Laraoui, Kapildeb Ambal

Department of Mechanical and Materials Engineering: Faculty Publications

The negatively charged Nitrogen-Vacancy (NV^-) center in diamond is one of the most versatile and robust quantum sensors suitable for quantum technologies, including magnetic field and temperature sensors. For precision sensing applications, densely packed NV^- centers within a small volume are preferable due to benefiting from 1/√𝑁 sensitivity enhancement (N is the number of sensing NV centers) and efficient excitation of NV centers. However, methods for quickly and efficiently forming high concentrations of NV^- centers are in development stage. We report an efficient, low-cost method for creating high-density NV^- centers production from a relatively …

Rabbit Anatomy: A Brief Photographic Atlas And Dissection Guide - Part I: Muscular System (Third Edition), Soma Mukhopadhyay, Lisa Ruggiero Wagner

Rabbit Anatomy: A Brief Photographic Atlas and Dissection Guide

No abstract provided.

A Chronological History Of Morehead State University And Preceding Institutions, David Ace, Christian Wright

Morehead State College Histories

A an in-depth chronological timeline of Morehead State University, and its predecessors, from 1887 to 2023 by David Ace and Christian Wright published in 2023 to celebrate the Centennial of the college.

An Inverse Problem Of Finding A Time-Dependent Coefficient In A Fractional Diffusion Equation, Durdimurod Durdiev, Dilshod Durdiev

Turkish Journal of Mathematics

This article is concerned with the study of unique solvability of an inverse coefficient problem of determining the coefficient at the lower term of a fractional diffusion equation. The direct problem is the initial-boundary problem for this equation with usual initial and homogeneous Dirichlet conditions. To determine the unknown coefficient, an overdetermination condition is given as the Neumann condition at the left end of the spatial interval. The theorems of existence and uniqueness of inverse problem solution are obtained. Furthermore, we propose a numerical algorithm based on a finite-difference scheme to accurately compute the inverse problem of simultaneously determining a …

The Graduate Review, Volume Viii: Cover, Editors, Advisory Board, Table Of Contents, And Reviewers

The Graduate Review

No abstract provided.

Actividad 4: Prueba De Las Cubiertas De Hormigón Fabricadas Por Los Estudiantes, Patrick Young

Tema 1: Estructura y proceso

Cuando una viga estructural se carga desde arriba, la fuerza crea compresión en la superficie superior y tensión en la superficie inferior. El hormigón puede soportar la compresión diez veces más que la tensión. Como el hormigón tiene menos capacidad para soportar la tensión, el refuerzo de acero es más importante en la parte inferior.

En esta actividad, los estudiantes realizarán una prueba de carga en 3 puntos para ver cuánto peso pueden soportar sus losas.

Actividad 3: Curva Pronunciada, Patrick Young

Tema 2: Por la ciudad

La forma de una curva afecta la facilidad con la que un automóvil puede circular con seguridad por ella. Las colisiones son más probables cuando la curva es demasiado cerrada. La curva debe ser suave, la transición entre los tramos rectos y curvos de la carretera también deben ser suaves.

En la imagen anterior, el automóvil experimenta una fuerza (llamada “fuerza centrípeta”) que lo empuja hacia el centro del círculo. Se trata de una fuerza de fricción proporcionada por la carretera que actúa sobre los neumáticos. Cuanto más cerrada es la curva, más fricción se necesita para mantenerse en la …

Activity 1: Build It Strong!, Patrick Young

Theme 1: Structure and Process

Materials like concrete and steel are important components of highway construction, but so are management tools such as planning and scheduling. This theme, Structure and Process, attempts to integrate these components using the construction of a highway overpass as an example. Activities should be done in the order presented. The concrete made in Activity 1 will need two days to cure before being tested in Activity 4.

Activity 1: Adela Valley Highway, Patrick Young, David Hernandez

Theme 2: Around Town

If you ask a longtime resident of your neighborhood what the town was like 30 or 40 years ago, they will tell you that there were a lot of empty spaces or fields. Ask them if they are happy with the numerous homes, businesses, roads, and industries that now exist. They may say that they lost part of their community. At the same time, they gained jobs, property value, and infrastructure improvements.

Whether to build more roads through a town is not an easy decision. There has to be a clear implementation plan, local or state funding, city code agreement, …

Activity 2: Cost Analysis, Patrick Young, David Hernandez

Theme 2: Around Town

The unit cost of highway construction varies tremendously, but state departments of transportation often publish estimates. For this activity, we assume that a four-lane divided highway will cost $5 million per mile across flat farmland.

Activity 3: Navigation, Patrick Young, David Hernandez

Theme 2: Around Town

Highways of the future will be more than ribbons of concrete and asphalt. They will have an information infrastructure that includes sensors, computers, and wireless connection with the computers in every moving vehicle. In the same way that people are connected by the internet, vehicles will be connected with each other through the highway’s network. This will enable drivers using navigation software to get real-time updates and suggestions. It will also increase the safety and efficiency of driverless vehicles.

In this activity, students will use mathematics to examine the types of calculations that navigational computers use to redirect drivers to …

Activity 2: Anger Management, David Hernandez, Peg Steffen

Theme 3: Traffic Management

Road rage is anger caused by inconveniences, incidents, or irresponsibility while driving. It can result in yelling, honking, tailgating, weaving, and blocking traffic. Road rage fatalities are increasing but there are strategies to help lessen road rage. These include overhead signs warning of upcoming traffic, weather, and car or truck incidents. Traffic and travel apps, which offer various route suggestions, travel times, and road hazards, may help as well. This activity will examine personal behaviors that drivers should exhibit to reduce road rage and then asks students to consider strategies to reduce this growing issue.

Activity 4: Information Board, David Hernandez, Peg Steffen

Theme 3: Traffic Management

In 1969, the National Household Travel Survey (NHTS) began collecting data about Americans’ travel habits. During the survey period, each household was sent a travel diary and asked to report all travel by household members on a randomly assigned “travel day”. Data were weighted to correctly reflect the day of week and month of travel to allow comparisons of weekdays or seasons. The type of transportation used, length and distance of trips and the purpose of travel are some examples of data gathered through the surveys. Organizations such as insurance companies, transportation agencies, and the government analyze and use the …

Activity 2: A Little Bit Salty, Karen Ye

Theme 4: Please Pass the Salt

Density is defined as the amount of mass that takes up a certain amount of volume. Adding salt or sugar to water increases its density since there are more particles (mass) packed into a similar amount of space (volume). Cooling water can also increase its density since the particles move more slowly at lower temperatures and will be more packed together. When two substances with different densities are combined, the one with a lower density will float whereas the one with a higher density will sink. The greater the difference in density, the more distinct the layers and the harder …

Activity 1: A Day In The Life, Patrick Young

Theme 5: Why Did the Chicken Cross the Road?

All highways run through animal habitats. Fencing highways can provide drivers some protection from animal-related accidents, but they fragment the habitat, causing problems for wildlife. In this activity, students learn some of the reasons that animals will attempt to cross highways.

Activity 2: Just Passing Through, Elizabeth Martinez

Theme 5: Why Did the Chicken Cross the Road?

Animal passages for wildlife are becoming more prevalent. Their purpose is to provide a safe path for animals to cross man-made barriers, in this case roadways. Fish ladders, patented in 1837, are an early example of this type of intervention. In addition, passages provide animal access to resources on the other side of the barrier. Crossings help to connect habitats to avoid habitat fragmentation, which can restrict the gene pool resulting in lower and more at-risk populations, as well as potential extinction. Vehicle and wildlife collisions account for many injuries and deaths for humans and other animals, property damage, and …

E2: Equity And Excellence Framework, Adrienne Coleman, Traci Ellis

Publications & Research

Both the United States and the United Nations have identified, examined, and put out a call to action to address the educational inequities that have disproportionately and negatively affected racially minoritized students, as well as those from a lower socioeconomic background, and poorer countries. Data from the Nations Report Card and the Global Monitoring Report provide evidence of disparities in academic performance and access to equitable educational resources. The outcome of these inequities impacts countries throughout the world, as their residents will not possess the skills and knowledge to thrive in a rapidly evolving global society, nor possess the critical …