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2015

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Analysis Of Repairable M[X]/(G1,G2)/1 - Feedback Retrial G-Queue With Balking And Starting Failures Under At Most J Vacations, P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran Dec 2015

Analysis Of Repairable M[X]/(G1,G2)/1 - Feedback Retrial G-Queue With Balking And Starting Failures Under At Most J Vacations, P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we discuss the steady state analysis of a batch arrival feedback retrial queue with two types of service and negative customers. Any arriving batch of positive customers finds the server is free, one of the customers from the batch enters into the service area and the rest of them join into the orbit. The negative customer, arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters into the orbit or leaves the system. If the orbit is empty at the service completion of each type …

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Independent Monopoly Size In Graphs, Ahmed M. Naji, N. D. Soner Dec 2015

Independent Monopoly Size In Graphs, Ahmed M. Naji, N. D. Soner

Applications and Applied Mathematics: An International Journal (AAM)

In a graph G = (V;E), a set D ⊆V (G) is said to be a monopoly set of G if every vertex v ∈V-D has at least d(v)/ 2 neighbors in D. The monopoly size of G, denoted mo(G), is the minimum cardinality of a monopoly set among all monopoly sets in G. The set D ⊆ V (G) is an independent monopoly set in G if it is both a monopoly set and an independent set in G. The number of vertices in a minimum independent monopoly set in a graph G is the independent monopoly size of …

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A Boundedness And Stability Results For A Kind Of Third Order Delay Differential Equations, Moussadek Remili, Djamila Beldjerd Dec 2015

A Boundedness And Stability Results For A Kind Of Third Order Delay Differential Equations, Moussadek Remili, Djamila Beldjerd

Applications and Applied Mathematics: An International Journal (AAM)

The objective of this study was to get some sufficient conditions which guarantee the asymptotic stability and uniform boundedness of the null solution of some differential equations of third order with the variable delay. The most efficient tool for the study of the stability and boundedness of solutions of a given nonlinear differential equation is provided by Lyapunov theory. However the construction of such functions which are positive definite with corresponding negative definite derivatives is in general a difficult task, especially for higher-order differential equations with delay. Such functions and their time derivatives along the system under consideration must satisfy …

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On The Stability Of A Pexiderized Functional Equation In Intuitionistic Fuzzy Banach Spaces, Nabin C. Kayal, Pratap Mondal, T. K. Samanta Dec 2015

On The Stability Of A Pexiderized Functional Equation In Intuitionistic Fuzzy Banach Spaces, Nabin C. Kayal, Pratap Mondal, T. K. Samanta

Applications and Applied Mathematics: An International Journal (AAM)

During the last few decades several researchers have been devoted to establishing stability of different kinds of functional equations, differential equations, functional differential equations, fractional differential equations, etc. under different sufficient conditions in different spaces like Banach spaces, Banach modules, fuzzy Banach spaces etc. In this paper, we remain confined in the discussion of stability of functional equations in intuitionistic fuzzy Banach spaces. Ulam was the first person who introduced an open question concerning the stability of a group homomorphism in an international conference. Thereafter several researchers have replied and are still replying to this open question in different contexts. …

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Accurate Spectral Solutions Of First And Second-Order Initial Value Problems By The Ultraspherical Wavelets-Gauss Collocation Method, Y. H. Youssri, W. M. Abd-Elhameed, E. H. Doha Dec 2015

Accurate Spectral Solutions Of First And Second-Order Initial Value Problems By The Ultraspherical Wavelets-Gauss Collocation Method, Y. H. Youssri, W. M. Abd-Elhameed, E. H. Doha

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we present an ultraspherical wavelets-Gauss collocation method for obtaining direct solutions of first- and second-order nonlinear differential equations subject to homogenous and nonhomogeneous initial conditions. The properties of ultraspherical wavelets are used to reduce the differential equations with their initial conditions to systems of algebraic equations, which then must be solved by using suitable numerical solvers. The function approximations are spectral and have been chosen in such a way that make them easy to calculate the expansion coefficients of the thought-for solutions. Uniqueness and convergence of the proposed function approximation is discussed. Four illustrative numerical examples are …

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F–Geometric Mean Graphs, A. D. Baskar, S. Arockiaraj Dec 2015

F–Geometric Mean Graphs, A. D. Baskar, S. Arockiaraj

Applications and Applied Mathematics: An International Journal (AAM)

In a study of traffic, the labelling problems in graph theory can be used by considering the crowd at every junction as the weights of a vertex and expected average traffic in each street as the weight of the corresponding edge. If we assume the expected traffic at each street as the arithmetic mean of the weight of the end vertices, that causes mean labelling of the graph. When we consider a geometric mean instead of arithmetic mean in a large population of a city, the rate of growth of traffic in each street will be more accurate. The geometric …

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On Calculation Of Failure Probability For Structures Designed Based On Magnitudes Of Historical Event, Farzad Noubary, Reza Noubary Dec 2015

On Calculation Of Failure Probability For Structures Designed Based On Magnitudes Of Historical Event, Farzad Noubary, Reza Noubary

Applications and Applied Mathematics: An International Journal (AAM)

During their operational life, structures may be subject to various types of live load caused by events such as earthquakes, high speed winds, etc. Given the design life of a structure, the probability for a specific live load to cause a failure depends on the magnitude of the load structure it is designed to withstand (designed load). In this article, methods are developed for calculation of the failure probability for structures designed to withstand loads comparable to historical loads at the site of interest.

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Asymptotically Double Lacunary Equivalent Sequences In Topological Groups, Ayhan Esi, M. K. Ozdemir Dec 2015

Asymptotically Double Lacunary Equivalent Sequences In Topological Groups, Ayhan Esi, M. K. Ozdemir

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in topological groups and prove some inclusion theorems.

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Solution To Some Open Problems On E-Super Vertex Magic Total Labeling Of Graphs, G. Marimuthu, M. S. Raja Durga, G. D. Devi Dec 2015

Solution To Some Open Problems On E-Super Vertex Magic Total Labeling Of Graphs, G. Marimuthu, M. S. Raja Durga, G. D. Devi

Applications and Applied Mathematics: An International Journal (AAM)

Let G be a finite graph with p vertices and q edges. A vertex magic total labeling is a bijection f from V(G)∪E(G) to the consecutive integers 1, 2, ..., p+q with the property that for every u∈V(G) , f( u)+ ∑f(uv)=K for some constant k. Such a labeling is E-super if f :E(G)→{1, 2,..., q}. A graph G is called E-super vertex magic if it admits an E-super vertex magic labeling. In this paper, we solve two open problems given by Marimuthu, Suganya, Kalaivani and Balakrishnan (Marimuthu et al., 2015).

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Silicon Carbon Nanotube Lithium Ion Batteries, Lawrence Kent Barrett Dec 2015

Silicon Carbon Nanotube Lithium Ion Batteries, Lawrence Kent Barrett

Theses and Dissertations

Silicon has the highest theoretical capacity of any known anode material, and silicon coated carbon nanotubes (Si-CNTs) have shown promise of dramatically increasing battery capacity. However, capacity fading with cycling and low rate capability prevent widespread use. Here, three studies on differing aspects of these batteries are presented. Here, three studies on differing aspects of these batteries are presented. The first examines the rate capability of these batteries. It compares the cycling of electrodes hundreds of microns thick with and without ten micron access holes to facilitate diffusion. The holes do not improve rate capability, but thinner coatings of silicon …

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Molecular Dynamics Simulation Of Force-Controlled Nanoindentation, Keaton Jaramillo Dec 2015

Molecular Dynamics Simulation Of Force-Controlled Nanoindentation, Keaton Jaramillo

Mechanical Engineering Undergraduate Honors Theses

The aim of this honors research is to develop a force-controlled nanoindentation algorithm for molecular dynamics simulation. The algorithm was tested on Silicon using the Tersoff potential and Gold using the Embedded-Atom Method (EAM) potential. The effect of varying the damping parameters that adjust the system pressure and changing run length between force iterations is explored. The force-controlled algorithm was developed and shown to be working by correlating pop-in events shown in the force versus displacement (P-h) curves to visualization software showing phase transformation or dislocation events in the sample.

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Economic Feasibility Of Aquaponics In Arkansas, Leah Ashley English Dec 2015

Economic Feasibility Of Aquaponics In Arkansas, Leah Ashley English

Graduate Theses and Dissertations

Concerns regarding population growth and resource scarcity have led to a recent renaissance of food production research. Over the past few decades, scientists have discovered new and innovative methods for growing food that, cumulatively, may hold the key to efficiently and sustainably feeding an ever-increasing world population. One method, known as aquaponics, has shown promise as being a sustainable solution for producing food locally in all parts of the world. Although many studies have shown aquaponic food production to be technically feasible, there are relatively few studies concerning the economic feasibility of aquaponics in various regions. To determine whether aquaponics …

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Montclair Magazine (Fall/Winter 2015), Montclair State University Dec 2015

Montclair Magazine (Fall/Winter 2015), Montclair State University

Montclair: The magazine of Montclair State University

No abstract provided.

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To Be Or Not To Be Satisfied: Examining Job Satisfaction Of Entry-Level Residence Life Professionals At Historically Black Colleges And Universities, Evingerlean D. Blakney Dec 2015

To Be Or Not To Be Satisfied: Examining Job Satisfaction Of Entry-Level Residence Life Professionals At Historically Black Colleges And Universities, Evingerlean D. Blakney

Dissertations

Research on historically Black college and universities (HBCUs) as institutions of higher education is limited. There is even less scholarship that brings forth an understanding of student affairs at these institutions. A gap in the higher education, student affairs, residence life, and job satisfaction literature suggested a need for research on residence life professionals at HBCUs. Therefore, the goal of this study was to examine job satisfaction of entry-level residence life professionals at HBCUs. For this study, the researcher looked for factors that contributed to overall job satisfaction and further examined the roles of both gender and public or private …

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Development Of Dual-Cure Hybrid Polybenzoxazine Thermosets, Jananee Narayanan Sivakami Dec 2015

Development Of Dual-Cure Hybrid Polybenzoxazine Thermosets, Jananee Narayanan Sivakami

Dissertations

Polybenzoxazines are potential high performance thermoset replacements for traditional phenolic resins that can undergo an autocatalytic, thermally initiated ring - opening polymerization, and possess superior processing advantages including excellent shelf-life stability, zero volatile loss and limited volumetric shrinkage. The simplistic monomer synthesis and availability of a wide variety of inexpensive starting materials allows enormous molecular design flexibility for accessing a wide range of tailorable material properties for targeted applications. Despite the fact, once fully cured, benzoxazines are difficult to handle due to their inherent brittleness, leaving a very little scope for any modifications. The motivation of this dissertation is directed …

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Asymmetric Synthesis Of Cα-Methyl-Γ- And Δ-Amino Acids From A Common Synthon And Evaluation Of Thionyl Chloride Assisted Peptide Esterifications, Emily Rose Vogel Dec 2015

Asymmetric Synthesis Of Cα-Methyl-Γ- And Δ-Amino Acids From A Common Synthon And Evaluation Of Thionyl Chloride Assisted Peptide Esterifications, Emily Rose Vogel

Dissertations

Cα-methyl-γ- and δ-unnatural amino acids (UAAs) are important class of biomolecules used extensively as structural scaffolds, peptidomimetics, and in the development of pharmaceuticals. Due to steric congestion surrounding the quaternary center, asymmetric preparation of α,α-disubstituted UAAs are synthetically challenging. Herein, two methods for the synthesis of chiral synthons to prepare Cα-methyl-γ- and -δ-UAAs are reported. A crucial step in both strategies includes an enzymatic hydrolysis of prochiral malonic esters with pig liver esterase (PLE). The first method utilizes the Meyer Schuster rearrangement to prepare α,β-unsaturated diesters synthons, but the preparation of the precursor propargyl alcohol decomposes …

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Construction Of A 408 Nm Laser System For Use In Ion Interferometry, Lawrence Archibald Dec 2015

Construction Of A 408 Nm Laser System For Use In Ion Interferometry, Lawrence Archibald

Theses and Dissertations

This work reports on the construction of a 408 nm laser system designed to drive stimulated Raman transitions between the F = 4 and F = 5 2 S 1/2 states of 87 Sr + using the 2 P 3/2 state as the intermediate state. This laser system will be used as part of a 87 Sr + ion interferometer. This work also includes a discussion of relevant theory describing the interaction of the ions and laser, along with a calculation of the transition rates as a function of laser power and detuning.

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Superimposed And Auxiliary Dunes Of The Northern Namib Sand Sea: A Ground-Penetrating Radar Study, Clayton K. Chandler Dec 2015

Superimposed And Auxiliary Dunes Of The Northern Namib Sand Sea: A Ground-Penetrating Radar Study, Clayton K. Chandler

Theses and Dissertations

Understanding modern features allows for their use as analogues for understanding the environments of the past and even environments on other planetary bodies. This study uses Ground-Penetrating Radar (GPR) to image the near surface sedimentary structures on a large linear dune in the northern Namib Sand Sea and image the sedimentary structure of an auxiliary dune. GPR data was collected using a 200 MHz antenna with a continuous scan method and was processed by removing direct arrival, gain balancing, migration and more which produced the highest resolution imagery from this region to date. Large dune data was analyzed to determine …

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Teacher Participation And Motivation Inprofessional Development, Krystal A. Hill Dec 2015

Teacher Participation And Motivation Inprofessional Development, Krystal A. Hill

Theses and Dissertations

Although professional development is accepted as important for making educational improvements, some have been unsuccessful due to how the teachers choose to participate, and the lack of motivation in teachers to attend or implement the suggested changes. A case study of secondary mathematics teachers in a required professional development is used to look at teachers' motivation and participation during the professional development. This study compared mathematics teachers' motivation to attend with ways of participating in order to determine how these influence a teacher's intent to change. It was found that certain aspects of motivation and participation does influence a teacher's …

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Elucidating The Mechanisms Of Rate-Dependent Deformation At Ambient Temperatures In A Model Metallic Glass, Matthew Bradley Harris Dec 2015

Elucidating The Mechanisms Of Rate-Dependent Deformation At Ambient Temperatures In A Model Metallic Glass, Matthew Bradley Harris

Theses and Dissertations

In this work, the Shear Transformation Zone (STZ) dynamics model is adapted to capture the transitions between different regimes of flow serration in the deformation map of metallic glass. This was accomplished by scaling the STZ volume with a log-linear fit to the strain rate, and also adjusting the activation energy of an STZ with a log-linear fit to maintain constant yield strength at differing strain rates. Twelve simulations are run at each of six different strain rates ranging from 10-5 to 100 s-1, and statistics are collected on simulation behavior and shear band nucleation and …

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The Solenoid And Warsawanoid Are Sharkovskii Spaces, Tyler Willes Hills Dec 2015

The Solenoid And Warsawanoid Are Sharkovskii Spaces, Tyler Willes Hills

Theses and Dissertations

We extend Sharkovskii's theorem concerning orbit lengths of endomorphisms of the real line to endomorphisms of a path component of the solenoid and certain subspaces of the Warsawanoid. In particular, Sharkovskii showed that if there exists an orbit of length 3 then there exist orbits of all lengths. The solenoid is the inverse limit of double covers over the circle, and the Warsawanoid is the inverse limit of double covers over the Warsaw circle. We show Sharkovskii's result is true for path components of the solenoid and certain subspaces of the Warsawanoid.

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Modelling Water Uptake Provides A New Perspective On Grass And Tree Coexistence, Michael G. Mazzacavallo, Andrew Kulmatiski Dec 2015

Modelling Water Uptake Provides A New Perspective On Grass And Tree Coexistence, Michael G. Mazzacavallo, Andrew Kulmatiski

Wildland Resources Faculty Publications

Root biomass distributions have long been used to infer patterns of resource uptake. These patterns are used to understand plant growth, plant coexistence and water budgets. Root biomass, however, may be a poor indicator of resource uptake because large roots typically do not absorb water, fine roots do not absorb water from dry soils and roots of different species can be difficult to differentiate. In a sub-tropical savanna, Kruger Park, South Africa, we used a hydrologic tracer experiment to describe the abundance of active grass and tree roots across the soil profile. We then used this tracer data to parameterize …

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Vol. 7 No. 1, Fall 2015; Equal Access: A Proposal For Homeschooled Students And Athletics, Cora Moy Dec 2015

Vol. 7 No. 1, Fall 2015; Equal Access: A Proposal For Homeschooled Students And Athletics, Cora Moy

Northern Illinois Law Review Supplement

A prevalent issue that homeschooled students face is access to interscholastic athletics at public schools. Over the past several decades, the United States has seen an upward trend in the number of children who are homeschooled. In Illinois, the local public school determines whether homeschooled students may participate in activities at public schools. While this Comment explores a sample of varying laws and regulations on homeschooled student participation in public school athletics, the purpose is to examine the debate on homeschooler's access to public schools and why the Illinois Legislature should create a minimum standard that would allow homeschooled students …

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Teacher Perceptions On Changing Instructional Practices In Mathematics With The Implementation Of The Common Core State Standards, Esther M. Underwood Dec 2015

Teacher Perceptions On Changing Instructional Practices In Mathematics With The Implementation Of The Common Core State Standards, Esther M. Underwood

Dissertations, Masters Theses, Capstones, and Culminating Projects

As schools across the U.S. begin to implement Common Core State Standards in Mathematics (CCSSM), teachers must shift their instructional practices from a traditional emphasis on procedures and algorithms to a conceptually based model in which students engage more meaningfully with mathematical concepts. The purpose of this study is to examine participants’ perspectives about the influence of CCSSM on their instructional practices, and the challenges they face in effectively implementing these changes. The literature reveals the need for professional development, standards aligned materials, and ongoing support of teachers in order for them to make substantial changes to their instructional approach. …

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Post Hoc Analysis On The Effect Of Early Intensive Behavioral Intervention Provided To Preschool Children On The Autism Spectrum, Catherine R. Maxwell Dumont Dec 2015

Post Hoc Analysis On The Effect Of Early Intensive Behavioral Intervention Provided To Preschool Children On The Autism Spectrum, Catherine R. Maxwell Dumont

Dissertations, Masters Theses, Capstones, and Culminating Projects

Early Intensive Behavioral Intervention (EIBI) provides a framework for educators to assist children diagnosed with autism spectrum disorder (ASD) to increase independence and positive social skills in the classroom (Reichow, 2012). Preschoolers with ASD who do not have access to programs tend to display negative and socially inappropriate behavior, such as acts of aggression, withdrawal, and inability to attend to lessons. Studies on program effectiveness documented that preschool children who received EIBI scored higher on IQ, language comprehension, imitation, expressive language, nonverbal communication, play, stereotyped behaviors and adaptive functioning compared to preschool children who do not receive EIBI. The literature …

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Generalized Cokähler Geometry And An Application To Generalized Kähler Structures, Ralph R. Gomez, Janet Talvacchia Dec 2015

Generalized Cokähler Geometry And An Application To Generalized Kähler Structures, Ralph R. Gomez, Janet Talvacchia

Mathematics & Statistics Faculty Works

In this paper, we propose a generalization of classical coKähler geometry from the point of view of generalized contact metric geometry. This allows us to generalize a theorem of Capursi (1984), Goldberg (1968) and show that the product M1×M2M1×M2 of generalized contact metric manifolds (Mi,Φi,E±,i,Gi)(Mi,Φi,E±,i,Gi), i=1,2i=1,2, where M1×M2M1×M2 is endowed with the product (twisted) generalized complex structure induced from Φ1Φ1 and Φ2Φ2, is (twisted) generalized Kähler if and only if View the MathML source(Mi,Φi,E±,i,Gi),i=1,2 are (twisted) generalized coKähler structures. As an application of our theorem we construct new examples of twisted generalized Kähler structures on manifolds that do not admit …

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Low-Rank Network Decomposition Reveals Structural Characteristics Of Small-World Networks, Victor J. Barranca, D. Zhou, D. Cai Dec 2015

Low-Rank Network Decomposition Reveals Structural Characteristics Of Small-World Networks, Victor J. Barranca, D. Zhou, D. Cai

Mathematics & Statistics Faculty Works

Small-world networks occur naturally throughout biological, technological, and social systems. With their prevalence, it is particularly important to prudently identify small-world networks and further characterize their unique connection structure with respect to network function. In this work we develop a formalism for classifying networks and identifying small-world structure using a decomposition of network connectivity matrices into low-rank and sparse components, corresponding to connections within clusters of highly connected nodes and sparse interconnections between clusters, respectively. We show that the network decomposition is independent of node indexing and define associated bounded measures of connectivity structure, which provide insight into the clustering …

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Correcting For Measurement Error In Latent Variables Used As Predictors, Lynne Steuerle Schofield Dec 2015

Correcting For Measurement Error In Latent Variables Used As Predictors, Lynne Steuerle Schofield

Mathematics & Statistics Faculty Works

This paper represents a methodological-substantive synergy. A new model, the Mixed Effects Structural Equations (MESE) model which combines structural equations modeling and item response theory, is introduced to attend to measurement error bias when using several latent variables as predictors in generalized linear models. The paper investigates racial and gender disparities in STEM retention in higher education. Using the MESE model with 1997 National Longitudinal Survey of Youth data, I find prior mathematics proficiency and personality have been previously underestimated in the STEM retention literature. Pre-college mathematics proficiency and personality explain large portions of the racial and gender gaps. The …

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Objective Bayesian Analysis On The Quantile Regression, Shiyi Tu Dec 2015

Objective Bayesian Analysis On The Quantile Regression, Shiyi Tu

All Dissertations

The dissertation consists of two distinct but related research projects. First of all, we study the Bayesian analysis on the two-piece location-scale models, which contain several well-known sub-distributions, such as the asymmetric Laplace distribution, the skewed normal distribution, and the skewed Student-t distribution. The use of two-piece location-scale models is an attractive method to model non-symmetric data. From a practical point of view, a prior with some objective information may be more reasonable due to the lack of prior information in many applied situations. It has been shown that several common used objective priors, such as the Jeffreys prior, result …

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Nurses’ Perceptions Of Best Practices To Assess Pediatric Patients And Educate Their Families Experiencing Effects Of Cancer Chemotherapy: “Chemo Brain” A Pilot Study, Jennifer A. Tapping Dec 2015

Nurses’ Perceptions Of Best Practices To Assess Pediatric Patients And Educate Their Families Experiencing Effects Of Cancer Chemotherapy: “Chemo Brain” A Pilot Study, Jennifer A. Tapping

Senior Theses

With more advanced and more aggressive chemotherapy cancer treatment leading to higher survival rates, complications with quality of life are becoming more prominent. Of these complications, delayed cognitive processing, commonly known as “chemo brain,” is becoming a topic of interest. Cognitive changes are some of the most common as well as the most challenging complications associated with central nervous system (CNS) directed treatment, such as chemotherapy. The term “chemo brain” is often used to describe self-reported or observed cognitive processing delays in patients who receive chemotherapy as a form of cancer treatment (Raffa, 2009). Although these cognitive delays have the …

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