Physical Sciences and Mathematics Commons^™

Certain Quadruple Hypergeometric Series And Their Integral Representations, Maged Bin-Saad, Jihad Younis

Applications and Applied Mathematics: An International Journal (AAM)

While investigating the Exton's list of twenty one hyper-geometric functions of four variables and the Sharma's and Parihar's list of eighty three hyper-geometric functions of four variables, we noticed existence of new hyper-geometric series of four variables. The principal object of this paper is to introduce new hyper-geometric series of four variables and present a natural further step toward the mathematical integral presentation concerning these new series of four variables. Integral representations of Euler type and Laplace type involving Appell's hyper-geometric functions and the Horn's series of two variables, Exton's and Lauricella's triple functions and Sharma and Parihar hyper-geometric functions …

Series Of Divergence Measures Of Type K, Information Inequalities And Particular Cases, R. N. Saraswat, Ajay Tak

Applications and Applied Mathematics: An International Journal (AAM)

Information and Divergence measures deals with the study of problems concerning information processing, information storage, information retrieval and decision making. The purpose of this paper is to find a new series of divergence measures and their applications, discuss the mathematical tools for finding convexity of the functions. Applications of convex functions in information theory, relationship between new and well-known divergence measures are discussed. Also some new bounds have been established for divergence measures using new f divergence measures and its properties.

An Admm-Factorization Algorithm For Low Rank Matrix Completion, Rahman Taleghani, Maziar Salahi

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we propose an Alternating Direction Method of Multipliers (ADMM) based algorithm that is taking advantage of factorization for the fixed rank matrix completion problem. The convergence of the proposed algorithm to the KKT point is discussed. Finally, on several classes of test problems, its efficiency is compared with several efficient algorithms from the literature.

Adjacent Vertex-Distinguishing Proper Edge-Coloring Of Strong Product Of Graphs, S. Anantharaman

Applications and Applied Mathematics: An International Journal (AAM)

Let G be a finite, simple, undirected and connected graph. The adjacent vertex-distinguishing proper edge-coloring is the minimum number of colors required for a proper edge-coloring of G, in which no two adjacent vertices are incident to edges colored with the same set of colors. The minimum number of colors required for an adjacent vertex-distinguishing proper edgecoloring of G is called the adjacent vertex-distinguishing proper edge-chromatic index. In this paper, I compute adjacent vertex-distinguishing proper edge-chromatic index of strong product of graphs.

On Ordered (P; Q)-Lateral Ideals In Ordered Ternary Semigroups, Mohammad Y. Abbasi, Sabahat A. Khan, Akbar Ali

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study some useful results of ordered (p; q)-lateral ideals in ordered ternary semigroups. Also, some properties of (p; q)-lateral simple ordered ternary semigroup have been examined. Further, we characterize the relationship between minimal (resp., maximal) ordered (p; q)- lateral ideals and (p; q)-lateral simple ordered ternary semigroups.

New Lie Group Of Transformation For The Non-Newtonian Fluid Flow Narrating Differential Equations, Khalil U. Rehman, M. Y. Malik

Applications and Applied Mathematics: An International Journal (AAM)

In this endeavour, a new Lie point of transformation for the fluid flow narrating differential equations are proposed. For this purpose a non-Newtonian fluid named tangent hyperbolic fluid is considered towards the flat surface in a magnetized flow field. In addition, equation of concentration admits the role of chemically reactive species. A mathematical model in terms of the coupled PDE’s is constructed. Lie group of analysis is implemented to yield the new Lie point of transformation for tangent hyperbolic fluid flow narrating differential equations when the heat and mass transfer individualities are considered. The resultant system of PDE’s is reduced …

Analysis Of Heat Absorption Viscoelastic Exothermic Chemical Reactive Fluid With Temperature Dependent Viscosity Under Bimolecular Kinetic, S. O. Salawu, R. A. Kareem

Applications and Applied Mathematics: An International Journal (AAM)

This study examines the boundary layer flow of variable viscosity, incompressible exothermic chemical reactive fluid with thermal radiation and asymmetric convective cooling under Bimolecular kinetic. The viscoelastic fluid flow along a vertical channel in the presence of a thermal buoyancy force and pressure gradient. Rosseland approximation is defined for the thick radiation heat flux in the energy equation with gray radiating liquid, non-scattering but with heat absorbing depending on wavelength. The convective heat exchange with the sorrounding temperature at the channel surface satisfied Newton’s law of cooling. The computational analysis of the dimensionless nonlinear governing equations is obtained using Weighted …

Boundedness And Square Integrability In Neutral Differential Systems Of Fourth Order, Mebrouk Rahmane, Moussadek Remili, Linda D. Oudjedi

Applications and Applied Mathematics: An International Journal (AAM)

The aim of this paper is to study the asymptotic behavior of solutions to a class of fourth-order neutral differential equations. We discuss the stability, boundedness and square integrability of solutions for the considered system. The technique of proofs involves defining an appropriate Lyapunov functional. Our results obtained in this work improve and extend some existing well-known related results in the relevant literature which were obtained for nonlinear differential equations of fourth order with a constant delay. The obtained results here are new even when our equation is specialized to the forms previously studied and include many recent results in …

Helium In Stream Water As A Volcanic Monitoring Tool, W. Payton Gardner, David D. Susong

Geosciences Faculty Publications

We show that synoptic sampling of streams can be used to characterize volcanic volatiles in groundwater over large spatial scales. Synoptic sampling of dissolved noble gases, 222Rn, major ions, and stream discharge was carried out along a 30 km reach of the Gibbon River, near Norris Geyser Basin in Yellowstone National Park, USA. Groundwater discharge location, volume, and composition were estimated by constrained calibration of a stream flow and solute transport model. Estimated groundwater composition from stream modeling was compared to shallow groundwater concentrations measured in nearby springs. 3He, 222Rn, and Cl− aq signatures in the Gibbon River are indicative …

Solutions For Fermi Questions, December 2019: Question 1: Electric Cars; Question 2: Chicken Poop, Larry Weinstein

Physics Faculty Publications

How much more electrical energy will the United States need to generate if everyone drives electric cars? B I Answer: i b If we all switch from gasoline-fueled to electricity-fueled cars, then we will need to generate more electrical energy. Thus, if we replace all of our gasoline-fueled cars with electricity-fueled cars, we will need to generate about 30% more electrical energy. [Extracted from the article]

Why Spiking Neural Networks Are Efficient: A Theorem, Michael Beer, Julio Urenda, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Current artificial neural networks are very successful in many machine learning applications, but in some cases they still lag behind human abilities. To improve their performance, a natural idea is to simulate features of biological neurons which are not yet implemented in machine learning. One of such features is the fact that in biological neural networks, signals are represented by a train of spikes. Researchers have tried adding this spikiness to machine learning and indeed got very good results, especially when processing time series (and, more generally, spatio-temporal data). In this paper, we provide a theoretical explanation for this empirical …

Hunters And Their Perceptions Of Public Access: A View From Afield, Joseph J. Fontaine, Alexis D. Fedele, Lyndsie S. Wszola, Lindsey N. Messinger, Christopher J. Chizinski, Jeffery J. Lusk, Karie L. Decker, J. Scott Taylor, Erica F. Stuber

Nebraska Cooperative Fish and Wildlife Research Unit: Staff Publications

Declining hunter participation threatens cultural traditions and public support for conservation, warranting examination of the forces behind the downward trajectory. Access to lands for hunting, an often-cited reason for non participation, may play a critical role in the retention and recruitment of hunters. Meeting the access needs of a diverse hunting constituency requires understanding how hunters use and perceive access opportunities, particularly public-access sites. Given that perceptions of access are entirely place based and degrade with time, traditional postseason survey methods may fail to adequately quantify the value of public access to the hunting constituency. To overcome the potential limitations …

Analysis Of Two Stage M[X1],M[X2]/G1,G2/1 Retrial G-Queue With Discretionary Priority Services, Working Breakdown, Bernoulli Vacation, Preferred And Impatient Units, G. Ayyappan, B. Somasundaram

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study M^[X₁] , M^[X2] /G₁ ,G₂ /1 retrial queueing system with discretionary priority services. There are two stages of service for the ordinary units. During the first stage of service of the ordinary unit, arriving priority units can have an option to interrupt the service, but, in the second stage of service it cannot interrupt. When ordinary units enter the system, they may get the service even if the server is busy with the first stage of service of an ordinary unit or may enter into the orbit or leave …

Regular Semiopen Sets On Intuitionistic Fuzzy Topological Spaces In Sostak’S Sense, G. Saravanakumar, S. Tamilselvan, A. Vadivel

Applications and Applied Mathematics: An International Journal (AAM)

We introduce the concepts of fuzzy (r; s)-regular semi (resp. (r; s)-α, (r; s)-pre, (r; s)-β open sets, their respective interior and closure operators on intuitionistic fuzzy topological spaces in ˆ Sostak’s sense and then we investigate some of their characteristic properties.

Dynamics In A Respiratory Control Model With Two Delays, Saroj P. Pradhan, Ferenc Hartung, Janos Turi

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we study ventilation patterns in a set of parameter dependent nonlinear delay equations with two transport delays modeling the human respiratory control system with peripheral and central control loops. We present a convergent numerical scheme suitable to perform simulations when all disturbances and system parameters are known, then we consider the numerical identifiability of various system parameters based on ventilation data. We are especially interested in the identification of the transport delays in the control loops because these parameters are not measurable directly, but they have a strong influence on system stability/instability.

On The Weighted Pseudo Almost Periodic Solutions Of Nicholson’S Blowflies Equation, Ramazan Yazgan, Cemil Tunç

Applications and Applied Mathematics: An International Journal (AAM)

This study is concerned with the existence, uniqueness and global exponential stability of weighted pseudo almost periodic solutions of a generalized Nicholson’s blowflies equation with mixed delays. Using some differential inequalities and a fixed point theorem, sufficient conditions were obtained for the existence, uniqueness of at the least a weighted pseudo almost periodic solutions and global exponential stability of this solution. The results of this study are new and complementary to the previous ones can be found in the literature. At the end of the study an example is given to show the accuracy of our results.

A New Method To Solve Fractional Differential Equations: Inverse Fractional Shehu Transform Method, Ali Khalouta, Abdelouahab Kadem

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we propose a new method called the inverse fractional Shehu transform method to solve homogenous and non-homogenous linear fractional differential equations. Fractional derivatives are described in the sense of Riemann-Liouville and Caputo. Illustrative examples are given to demonstrate the validity, efficiency and applicability of the presented method. The solutions obtained by the proposed method are in complete agreement with the solutions available in the literature.

Adjoint Appell-Euler And First Kind Appell-Bernoulli Polynomials, Pierpaolo Natalini, Paolo E. Ricci

Applications and Applied Mathematics: An International Journal (AAM)

The adjunction property, recently introduced for Sheffer polynomial sets, is considered in the case of Appell polynomials. The particular case of adjoint Appell-Euler and Appell-Bernoulli polynomials of the first kind is analyzed.

An Efficient Computational Method For Solving A System Of Fdes Via Fractional Finite Difference Method, M. M. Khader, Sunil Kumar

Applications and Applied Mathematics: An International Journal (AAM)

This paper aims to provide a numerical method for solving systems of fractional (Caputo sense) differential equations (FDEs). This method is based on the fractional finite difference method (FDM), where we implemented the Grünwald-Letnikov’s approach. This method is computationally very efficient and gives very accurate solutions. In this study, the stability of the obtained numerical scheme is given. The numerical results show that the proposed approach is easy to be implemented and are accurate when applied to system of FDEs. The method introduces promising tool for solving many systems of FDEs. Two examples are given to demonstrate the applicability and …

Inverse Spectral Problems For Spectral Data And Two Spectra Of N By N Tridiagonal Almost-Symmetric Matrices, Bayram Bala, Manaf D. Manafov, Abdullah Kablan

Applications and Applied Mathematics: An International Journal (AAM)

One way to study the spectral properties of Sturm-Liouville operators is difference equations. The coefficients of the second order difference equation which is equivalent Sturm-Liouville equation can be written as a tridiagonal matrix. One investigation area for tridiagonal matrix is finding eigenvalues, eigenvectors and normalized numbers. To determine these datas, we use the solutions of the second order difference equation and this investigation is called direct spectral problem. Furthermore, reconstruction of matrix according to some arguments is called inverse spectral problem. There are many methods to solve inverse spectral problems according to selecting the datas which are generalized spectral function, …

On Nearly Kähler Finsler Spaces, Z. Didehkhani, B. Najafi, N. Heidari

Applications and Applied Mathematics: An International Journal (AAM)

Ichijy¯o introduced (a; b; J)-manifolds as a special class of generalized Randers manifolds. We introduce generalized (a; b; J)-manifolds. A partial negative answer to Ichijy¯o’s open problem on nearly Kähler Finsler manifolds is given. The condition under which generalized (a; b; J)- manifolds are Berwaldian is obtained. Finally, we prove that under a mild assumption a nearly Kähler Finsler manifold is Landsbergian.

Spatio-Temporal Assessment Of Headwater Streams In The San Bernardino National Forest, Jose Angel Mora

Electronic Theses, Projects, and Dissertations

As the demand for freshwater resources increases due to increasing human populations, degradation of available resources, and climatic changes it will become increasingly important to understand the factors that impact the physicochemical characteristics of surface water resources over space and time. This study assessed a headwater stream over the course of a year in the San Bernardino National Forest that serves as both surface and groundwater resources for the Santa Ana River Watershed region, the largest and most populated watershed in Southern California. Streams were monitored bi-weekly during dry periods and weekly during wet periods from April 2018 through April …

Tree Cover In The Surrounding Landscape Reduces Burrowing Owl (Athene Cunicularia) Occupancy Of Black-Tailed Prairie Dog Colonies In South Dakota, Jason P. Thiele, Kristel K. Bakker, Charles D. Dieter

Natural Resource Management Faculty Publications

Burrowing Owl (Athene cunicularia) population declines have led to the owl’s designation as a species of conservation concern in South Dakota. Burrowing Owls nest primarily in black-tailed prairie dog (Cynomys ludovicianus) colonies, but a significant proportion of colonies in South Dakota are not occupied by owls. We studied the influence of landscape-level habitat variables on colony selection by Burrowing Owls. We used call-playback surveys to document presence or absence of Burrowing Owls at 613 prairie dog colonies throughout western and central South Dakota. We used a geographic information system to calculate the percent cover of prairie dog colonies, grassland, cropland, …

Production Of Physician Services Under Fee-For-Service And Blended Fee-For-Service: Evidence From Ontario, Canada., Nibene H Somé, Rose Anne Devlin, Nirav Mehta, Greg Zaric, Lihua Li, Salimah Shariff, Bachir Belhadji, Amardeep Thind, Amit Garg, Sisira Sarma

Epidemiology and Biostatistics Publications

We examine family physicians' responses to financial incentives for medical services in Ontario, Canada. We use administrative data covering 2003-2008, a period during which family physicians could choose between the traditional fee for service (FFS) and blended FFS known as the Family Health Group (FHG) model. Under FHG, FFS physicians are incentivized to provide comprehensive care and after-hours services. A two-stage estimation strategy teases out the impact of switching from FFS to FHG on service production. We account for the selection into FHG using a propensity score matching model, and then we use panel-data regression models to account for observed …

Healthcare Utilization Costs Of Emerging Adults With Mood And Anxiety Disorders In An Early Intervention Treatment Program Compared To A Matched Cohort, Ava A. John-Baptiste, Lihua Li, Wanrudee Isaranuwatchai, Elizabeth Osuch, Kelly K. Anderson

Epidemiology and Biostatistics Publications

AIM: The First Episode Mood and Anxiety Disorder Program (FEMAP) provides treatment to emerging adults with mood and anxiety disorders in an accessible, youth-friendly environment. We sought to investigate FEMAP's impact on the costs of care.

METHODS: We conducted a retrospective observational study of one-year health service costs using linked administrative datasets to compare emerging adults treated at FEMAP (FEMAP users) to propensity-score matched controls (non-users). Costs from the perspective of the Ontario Ministry of Health and Long-Term Care, included drug benefit claims, inpatient, physician and ambulatory care services. We used bootstrapping to perform unadjusted comparisons between FEMAP users and …

Progression Magazine, 2019 Fall/Winter, Coastal Carolina University

Progression Magazine

Magazine of the College of Science at Coastal Carolina University.

Some Results And Examples On Vertex Equitable Labeling, Mohamed Saied Aboshady, Reda Amin Elbarkoki, Eliwa Mohamed Roshdy, Mohamed Abdel Azim Seoud

Basic Science Engineering

In this paper we present a survey for all graphs with order at most 6 whether they are vertex equitable or not and we get an upper bound for the number of edges of any graph with 𝑝 vertices to be a vertex equitable graph. Also, we establish vertex equitable labeling for the 𝑚-chain of the complete bipartite graph 𝐾2,𝑛 and for the graph 𝑃𝑛 × 𝑃𝑚.

Deep Donors And Acceptors In Β-Ga2O3 Crystals: Determination Of The Fe2+/3+ Level By A Noncontact Method, Christopher A. Lenyk, Trevor A . Gustafson, Larry E. Halliburton, Nancy C. Giles

Faculty Publications

Electron paramagnetic resonance (EPR), infrared absorption, and thermoluminescence (TL) are used to determine the Fe^2+/3+ level in Fe-doped β-Ga₂O₃ crystals. With these noncontact spectroscopy methods, a value of 0.84 ± 0.05 eV below the conduction band is obtained for this level. Our results clearly establish that the E2 level observed in deep level transient spectroscopy (DLTS) experiments is due to the thermal release of electrons from Fe²⁺ ions. The crystals used in this investigation were grown by the Czochralski method and contained large concentrations of Fe acceptors and Ir donors, and trace amounts of Cr …

Search For Gravitational Waves From Scorpius X-1 In The Second Advanced Ligo Observing Run With An Improved Hidden Markov Model, B. P. Abbott, R. Abbott, T. D. Abbott, Marco Cavaglia, For Full List Of Authors, See Publisher's Website.

Physics Faculty Research & Creative Works

We present results from a semicoherent search for continuous gravitational waves from the low-mass x-ray binary Scorpius X-1, using a hidden Markov model (HMM) to track spin wandering. This search improves on previous HMM-based searches of LIGO data by using an improved frequency domain matched filter, the J-statistic, and by analyzing data from Advanced LIGO's second observing run. In the frequency range searched, from 60 to 650 Hz, we find no evidence of gravitational radiation. At 194.6 Hz, the most sensitive search frequency, we report an upper limit on gravitational wave strain (at 95% confidence) of h₀^95% = …

Improving Earthquake Disaster Models With Post-Event Data: Insights From The 2015 Gorkha, Nepal Earthquake, Bradley Steven Wilson

Graduate Theses and Dissertations

Immense amounts of data are collected following earthquake disasters. Yet, it remains unclear how researchers’ might take full advantage of diverse post-disaster datasets. Using data from the 2015 Gorkha Nepal earthquake, this dissertation explores three ways in which post- disaster survey and assessment datasets can be used to inform models of seismic risk, vulnerability, and recovery processes. The first article presents an empirical analysis of scale issues in disaster vulnerability indices using a novel dataset of 750,000 households. This study finds that using aggregated household data to create social vulnerability indices can produce results that are meaningfully different from equivalent …