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Stability Of An Euler-Lagrange Type Cubic Functional Equation, Abbas Najati, Fridoun Moradlou

Turkish Journal of Mathematics

In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x+my)+2f(mx-y)=(m^3+m)[f(x+y)+f(x-y)]+2(m^4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.

Geodesics Of The Cheeger-Gromoll Metric, Ari̇f A. Salimov, S. Kazimova

Turkish Journal of Mathematics

The main purpose of the paper is to investigate geodesics on the tangent bundle with respect to the Cheeger-Gromoll metric.

Modules With Unique Closure Relative To A Torsion Theory Ii, Semra Doğruöz, Abdullah Harmanci, Patrick F. Smith

Turkish Journal of Mathematics

We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory \tau on Mod-R using the fact that the module M satisfies a certain transitivity property on \tau-closed submodules.

Local Fourier Bases And Ultramodulation Spaces, Salti Samarah, Fady Hasan

Turkish Journal of Mathematics

It was proved that local Fourier bases are unconditional bases for modulation spaces M_{p.q}^w. We prove that the local Fourier bases are unconditional bases for ultramodulation spaces M_p^{w_{\gamma}}=M_{p.p}^{w_{\gamma}}, where 0

Q-Modules, C. Jayaram, Ünsal Teki̇r

Turkish Journal of Mathematics

In this paper we characterize Q-modules and almost Q-modules. Next we estblish some equivalent conditions for an almost Q-module to be a Q-module. Using these results, some characterizations are given for Noetherian Q-modules.

Oscillation Of Higher-Order Nonlinear Delay Differential Equations With Oscillatory Coefficients, Başak Karpuz, Özkan Öcalan, Mustafa Kemal Yildiz

Turkish Journal of Mathematics

A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(\kappa(t))]^{(n-1]' +p(t)F(x(\tau(t)))+q(t)G(x(\sigma(t)))= \phi(t), where t\geq t_0, n\geq 2, a,p are positive, r,q,\phi are allowed to alternate in sign infinitely many times, F,G are continuous functions, and \kappa,\tau,\sigma are strictly increasing unbounded continuous delay functions.

Some Properties Of Gr-Multiplication Ideals, Hani Khashan

Turkish Journal of Mathematics

In this paper, we study some of the properties of gr-multiplication ideals in a graded ring R. We first characterize finitely generated gr-multiplication ideals and then give a characterization of gr-multiplication ideals by using the gr-localization of R. Finally we determine the set of gr-P-primary ideals of R when P is a gr-multiplication gr-prime ideal of R.

Integral And Homothetic Indecomposability With Applications To Irreducibility Of Polynomials, Fati̇h Koyuncu, Ferruh Özbudak

Turkish Journal of Mathematics

Being motivated by some methods for construction of homothetically indecomposable polytopes, we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].

Formation Feedback Control Of Uav Flight, Stephen Stegall

Doctoral Dissertations and Master's Theses

This thesis is a study of formation control with autonomous unmanned aerial vehicles using the formation as feedback. There is also an investigation of formation methods presenting insight into different algorithms for formations. A rigid formation is achieved using a proportional-derivative virtual structure with a formation feedback controller. There is an emphasis on stick controlled aerodynamics. The rigid formation is verified by a simulation of a longitudinal model. Formation control ideas are presented for rigid formations.

A Note On The Lévy Constant For Continued Fractions, Ting Zhong

Turkish Journal of Mathematics

In this note, we study the lévy constant of continued fraction expansions. We show that for all x \in [0,1), the upper lévy constant of x is finite except a set with Hausdorff dimension one-half.

Existence And Uniqueness Theorem For Slant Immersions In Kenmotsu Space Forms, Pradeep Kumar Pandey, Ram Shankar Gupta

Turkish Journal of Mathematics

In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.

Cultivating Strong Citizens Through Public Education: Greek And Roman Methodology As A Pedagogical Approach In Public Education, Krystina Sarff

Electronic Theses and Dissertations

The ancient Greeks were a group of people who valued intelligence and athleticism above all other human traits; because of their focus, their society became one of the most revered and advanced civilizations in all of history. They were able to significantly influence the Roman Empire's philosophers, rhetoric, and education system. In order for the United States wants to match the Greeks' paramount feats, citizens have to become more learned and fit. The future intellectual development of the United States is at risk of halting progress as a nation if action is not taken. Quintilian's educational philosophies stimulate students' brainpower, …

2009-2010 Undergraduate Catalog, Morehead State University

Morehead State Catalog Archive

2009-2010 graduate catalog for Morehead State University.

Is It Really Possible To Do The Kessel Run In Less Than Twelve Parsecs And Should It Matter? Science And Film And Its Policy Implications, Dov Greenbaum

Vanderbilt Journal of Entertainment & Technology Law

The entertainment media influences our lives in a myriad of different ways--from the way we dress, to the language we use, to the products we buy. What might be less obvious are its influences on national policies. This Article, an introductory foray into the effects of media on policy, focuses on the effect that movies have on science policies in the United States and around the world. Through an analysis of both classic and recent blockbuster films and concurrent events involving science policies, this Article argues that Hollywood exerts an inordinate amount of influence on national science policies, and even …

Uneasy Lies The Head That Wears The Crown: Why Content's Kingdom Is Slipping Away, Jonathan Handel

Vanderbilt Journal of Entertainment & Technology Law

This Article examines the ongoing power struggle between the content industries (with a particular focus on Hollywood) and the technology industry. These two sectors are intertwined like never before, yet their fates seem wildly divergent, with content stumbling while distribution technology thrives.

The Article begins by illustrating that, even before the recession took hold, traditional paid content was in trouble, and that this was and is true across a range of distribution platforms and content types, including theatrical motion pictures, home video, network television, music, newspapers, books, and magazines. The Article next posits six reasons for content's discontent: supply and …

Patenting Games: Baker V. Selden Revisited, Shubha Ghosh

Vanderbilt Journal of Entertainment & Technology Law

Patents are meant to protect the functional aspects of an invention. But patents, particularly patents on processes or methods, can cover non-functional, or expressive, activity. This Article explores this possibility in the context of patents covering games of various types. Patents on games can cover the actual play or use of a game with consequent implications for user-generated content produced by playing games. The Article documents this possibility in the area of fantasy sports and video games and proposes two solutions. The first solution relies on the Federal Circuit's recent decision in In "re Bilski," which restricts the patenting of …

Teacher, Leadership, And Curriculum Factors Predictive Of Student Achievement In Indian Education For All, Erin Robin Lipkind

Graduate Student Theses, Dissertations, & Professional Papers

This study examines the teacher, leader, and curriculum variables predictive of student achievement in Indian Education for All (IEFA). IEFA, a Montana educational mandate based on Montana constitutional law, was first funded in 2005, and little research had previously been conducted on the effectiveness of implementation efforts. While compulsory, implementation had been piecemeal and wrought with misunderstanding, differences in opinion, prejudice, and questions about its legitimacy. The challenges inherent in the implementation of an ambiguous educational reform with no state-adopted curriculum or benchmarks for student achievement have become evident. With the dearth of research, it was not known how well …

Liberal Mccarthyism And The Origins Of Critical Race Theory, Richard Delgado

Faculty Articles

The article discusses the emergence of liberal McCarthyism and the origins of critical race theory in the U.S. It reviews the conflicting stories from Harvard Law School in Massachusetts and the University of California in Berkeley and Los Angeles about critical race theory. The article examines the role of radical professors Kingman Brewster, James Conant, Clark Kerr and Albert Bowker in McCarthyism. The author relates how professors David Trubek, Richard Abel, Staughton Lynd and Anthony Platt lost their job due to liberal McCarthyism.

Inference-Guiding On Bayesian Knowledge-Based Systems, Jinchang Wang

Journal of International Technology and Information Management

Bayesian network is a robust structure for representing knowledge containing uncertainties in a knowledge-based system. In applications of expert systems and knowledge-based systems, it often happens that initial data are not sufficient to derive a conclusion of high enough certainty. Inference-guiding is in that case to identify the missing information, pursue its value, and lead inference to a conclusion. This paper presents and characterizes a criterion for effectively selecting key missing information, and thereby develops a “smart” inference approach with the inference-guiding function based on the newly developed criterion for uncertain inference in a Bayesian knowledge-based system.

Hadwiger's Conjecture Applied To Mycielski And Kneser Graphs, Anne Marie Nicholas

Honors Theses

Graph theory is the study of graphs that represent a specific relation between pairs of objects from a collection. The objects are represented by vertices that are connected by edges defining the existence of such relation ship. A crucial result in graph theory, the Four Color Theorem, was first proposed in 1852 by Francis Guthrie but was not proven until 1976 by Ken neth Appel and Wolfgang Haken. The Four Color Theorem says that any graph on a plane is four colorable. Then in 1943 Hugo Hadwiger presented generalization of the Four Color Theorem which is still an important and …

The University Of Mississippi's Role In The Presidential Election, Sara Ann Ralph

Honors Theses

There are many ways to survey a population and analyze the data. Our research applies these techniques to a real world situation, specifically the out come of the 2008 Presidential Election. We will examine current sampling techniques, as well as look at past presidential predictions. Then we will con duct our own survey on the Oxford Campus of the University of Mississippi in an attempt to see what will have an effect on the voting patterns of the population.

Cognitive Modeling Analysis Of Decision-Making Processes In Young Adults At-Risk And Not At-Risk For Alcohol Dependence, Lori Anne Wagner

Graduate Dissertations and Theses

This study used the Valence-Expectancy Learning model, a mathematical cognitive model, to dissect young adult performance on the Iowa Gambling Task (IGT). Drinking behavior and monetary incentive were examined as predictors of performance on the IGT. No differences were found among groups when data were analyzed using traditional behavioral analyses. However, when the Expectancy-Valence Learning model was applied to the data, differences between groups were found related to attention and choice consistency. Importantly, the cognitive model was not a good fit for fifty-seven percent of the data, meaning that it did not succeed in explaining how the participants' choices were …

Law's Misguided Love Affair With Science, Robin Feldman

Minnesota Journal of Law, Science & Technology

No abstract provided.

Cognition, Law, Stories, Lorie M. Graham, Stephen M. Mcjohn

Minnesota Journal of Law, Science & Technology

No abstract provided.

The Digital Millennium Copyright Act Takedown Notice Procedure: Misuses, Abuses, And Shortcomings Of The Process, Jeffrey Cobia

Minnesota Journal of Law, Science & Technology

No abstract provided.

Cost Benefit Analysis: A Policy Tool Of Anthropocentric Utilitarianism, Nora Anne Watson

Honors Theses

For the last three decades, there has been a lively debate over the best way for a govemapproach decisions of environmental policy. Adherents to anthropocentric utilitari anism - those who believe that actions are right as they tend to promote utility for humans - favor the use of cost-benefit analysis - a tool that is used to come up with recommendations the basis of their probable costs and ment to for or against particular environmental policies benefits. Although making decisions this way may seem like a straightforward approach that should be acceptable to everyone, many challenge the latent assumptions of …

Graph Theoretical Problems Computable By Networks Of Finite Automata., Cameron Taylor Byrum

Honors Theses

Graphs are a popular model in mathematics, and automata, or abstract models of machines, are a useful tool in computer science. Our research looks at combining these two powerful fields. We will begin by looking at some pre liminaries of graph theory and automata theory. We also discuss other meth ods for recognizing graph properties such as algebras, grammars, and monadic second-order logic. We will then explore the concept of “intelligent graphs,” or networks of finite automata operating at each vertex of a graph, and we will show implementations for using such networks to solve labryinth problems and to compute …

On Generalized Mersenne And Fermat Primes, Bette Catherine Putnam

Honors Theses

The classical Merseniie and Fermat primes are, respectivel3^ primes of the form 2^' - 1 and 2^‘ + 1. The Mersenne primes have been studied since antiquity. It is known that if 2^ - 1 is prime then k is prime. As of September 2008, there are forty-six such primes known. Fermat primes, of the form 2^’ -h 1, seem to be more rare. It is known that if 2^' -I- 1 is prime, then k must be a power of 2. To date only 2“*^ -I- 1, 2^* -f 1, 2^^ -f-1, 2'^^ -t-1, and 2^^ -|-1 are known …

Computerized Provider Order Entry Adoption: Implications For Clinical Workflow, Emily M. Campbell, Kenneth P. Guappone, Dean F. Sittig, Richard H. Dykstra, Joan S. Ash

Faculty, Staff and Student Publications

OBJECTIVE: To identify and describe unintended adverse consequences related to clinical workflow when implementing or using computerized provider order entry (CPOE) systems. METHODS: We analyzed qualitative data from field observations and formal interviews gathered over a three-year period at five hospitals in three organizations. Five multidisciplinary researchers worked together to identify themes related to the impacts of CPOE systems on clinical workflow. RESULTS: CPOE systems can affect clinical work by 1) introducing or exposing human/computer interaction problems, 2) altering the pace, sequencing, and dynamics of clinical activities, 3) providing only partial support for the work activities of all types of …

Taxonomy Development And Knowledge Representation Of Nurses' Personal Cognitive Artifacts, Sharon Mclane, James P Turley

Faculty, Staff and Student Publications

Nurses prepare knowledge representations, or summaries of patient clinical data, each shift. These knowledge representations serve multiple purposes, including support of working memory, workload organization and prioritization, critical thinking, and reflection. This summary is integral to internal knowledge representations, working memory, and decision-making. Study of this nurse knowledge representation resulted in development of a taxonomy of knowledge representations necessary to nursing practice.This paper describes the methods used to elicit the knowledge representations and structures necessary for the work of clinical nurses, described the development of a taxonomy of this knowledge representation, and discusses translation of this methodology to the cognitive …