Digital Commons Network^™

On Skew-Constacyclic Codes, Neville Lyons Fogarty

Theses and Dissertations--Mathematics

Cyclic codes are a well-known class of linear block codes with efficient decoding algorithms. In recent years they have been generalized to skew-constacyclic codes; such a generalization has previously been shown to be useful. We begin with a study of skew-polynomial rings so that we may examine these codes algebraically as quotient modules of non-commutative skew-polynomial rings. We introduce a skew-generalized circulant matrix to aid in examining skew-constacyclic codes, and we use it to recover a well-known result on the duals of skew-constacyclic codes from Boucher/Ulmer in 2011. We also motivate and develop a notion of idempotent elements in these …

Flag F-Vectors Of Polytopes With Few Vertices, Sarah A. Nelson

Theses and Dissertations--Mathematics

We may describe a polytope P as the convex hull of n points in space. Here we consider the numbers of chains of faces of P. The toric g-vector and CD-index of P are useful invariants for encoding this information. For a simplicial polytope P, Lee defined the winding number w_k in a Gale diagram corresponding to P. He showed that w_k in the Gale diagram equals g_k of the corresponding polytope. In this dissertation, we fully establish how to compute the g-vector for any polytope with few vertices from its …

Kronecker's Theory Of Binary Bilinear Forms With Applications To Representations Of Integers As Sums Of Three Squares, Jonathan A. Constable

Theses and Dissertations--Mathematics

In 1883 Leopold Kronecker published a paper containing “a few explanatory remarks” to an earlier paper of his from 1866. His work loosely connected the theory of integral binary bilinear forms to the theory of integral binary quadratic forms. In this dissertation we discover the statements within Kronecker's paper and offer detailed arithmetic proofs. We begin by developing the theory of binary bilinear forms and their automorphs, providing a classification of integral binary bilinear forms up to equivalence, proper equivalence and complete equivalence.

In the second chapter we introduce the class number, proper class number and complete class number as …

Imagination Bound: A Theoretical Imperative, Robert Michael Guerin

Theses and Dissertations--Philosophy

Kant’s theory of productive imagination falls at the center of the critical project. This is evident in the 1781 Critique of Pure Reason, where Kant claims that the productive imagination is a “fundamental faculty of the human soul” and indispensable for the construction of experience. And yet, in the second edition of 1787 Kant seemingly demotes this imagination as a mere “effect of the understanding on sensibility” and all but withdraws its place from the Transcendental Deduction.

In his 1929 Kant and the Problem of Metaphysics, Martin Heidegger provided an explanation for the revisions between 1781 and 1787. …

The Normative Architecture Of Reality: Towards An Object-Oriented Ethics, Justin L. Harmon

Theses and Dissertations--Philosophy

The fact-value distinction has structured and still structures ongoing debates in metaethics, and all of the major positions in the field (expressivism, cognitivist realism, and moral error theory) subscribe to it. In contrast, I claim that the fact-value distinction is a contingent product of our intellectual history and a prime object for questioning. The most forceful reason for rejecting the distinction is that it presupposes a problematic understanding of the subject-object divide whereby one tends to view humans as the sole source of normativity in the world. My dissertation aims to disclose the background against which human ethical praxis is …

Becoming What We Are: Virtue And Practical Wisdom As Natural Ends, Keith Buhler

Theses and Dissertations--Philosophy

This dissertation is about ethical naturalism. Philippa Foot and John McDowell both defend contemporary neo-Aristotelian ethics but each represents a rival expression of the same. They are united in the affirmation that virtue is ‘natural goodness’ for human beings. Nevertheless, they are divided in their rival conceptions of ‘nature.’ McDowell distinguishes second nature or the "space of reasons" from first nature or the “realm of law.” Foot rejects this division.

On Foot's naturalism, natural goodness is just as much a feature of first nature as health is, even though human practical reasoning is unique in the biological world. I defend …

Expectancy-Value In The Enrollment Factor Of Agricultural Education Youth, Morgan Schafbuch

Theses and Dissertations--Community & Leadership Development

This quantitative study considers the motivating factors for enrollment in secondary agricultural education courses from students whose home background is not from a farm. This study utilizes expectancy-value theory, and looks at students (n=211) from different agricultural backgrounds and the impact on their ability beliefs, expectancies for success, and usefulness, importance, and interest for enrollment in agricultural education courses. The results indicate that students who have no affiliation to a farm have the highest ability beliefs and expectancies for success towards agricultural education in relation to students who are from traditional agricultural backgrounds.

Heat And Mass Transfer In Baled Switchgrass For Storage And Bioconversion Applications, Drew F. Schiavone

Theses and Dissertations--Biosystems and Agricultural Engineering

The temperature and moisture content of biomass feedstocks both play a critical role in minimizing storage and transportation costs, achieving effective bioconversion, and developing relevant postharvest quality models. Hence, this study characterizes the heat and mass transfer occurring within baled switchgrass through the development of a mathematical model describing the relevant thermal and physical properties of this specific substrate. This mathematical model accounts for the effect of internal heat generation and temperature-induced free convection within the material in order to improve prediction accuracy. Inclusion of these terms is considered novel in terms of similar biomass models.

Two disparate length scales, …

Development In Normal Mixture And Mixture Of Experts Modeling, Meng Qi

Theses and Dissertations--Statistics

In this dissertation, first we consider the problem of testing homogeneity and order in a contaminated normal model, when the data is correlated under some known covariance structure. To address this problem, we developed a moment based homogeneity and order test, and design weights for test statistics to increase power for homogeneity test. We applied our test to microarray about Down’s syndrome. This dissertation also studies a singular Bayesian information criterion (sBIC) for a bivariate hierarchical mixture model with varying weights, and develops a new data dependent information criterion (sFLIC).We apply our model and criteria to birth- weight and gestational …

Multi-State Models With Missing Covariates, Wenjie Lou

Theses and Dissertations--Statistics

Multi-state models have been widely used to analyze longitudinal event history data obtained in medical studies. The tools and methods developed recently in this area require the complete observed datasets. While, in many applications measurements on certain components of the covariate vector are missing on some study subjects. In this dissertation, several likelihood-based methodologies were proposed to deal with datasets with different types of missing covariates efficiently when applying multi-state models.

Firstly, a maximum observed data likelihood method was proposed when the data has a univariate missing pattern and the missing covariate is a categorical variable. The construction of the …

Statistical Methods For Handling Intentional Inaccurate Responders, Kristen J. Mcquerry

Theses and Dissertations--Statistics

In self-report data, participants who provide incorrect responses are known as intentional inaccurate responders. This dissertation provides statistical analyses for address intentional inaccurate responses in the data.

Previous work with adolescent self-report, labeled survey participants who intentionally provide inaccurate answers as mischievous responders. This phenomenon also occurs in clinical research. For example, pregnant women who smoke may report that they are nonsmokers. Our advantage is that we do not solely have self-report answers and can verify responses with lab values. Currently, there is no clear method for handling these intentional inaccurate respondents when it comes to making statistical inferences.

We …

Topics In Logistic Regression Analysis, Zhiheng Xie

Theses and Dissertations--Statistics

Discrete-time Markov chains have been used to analyze the transition of subjects from intact cognition to dementia with mild cognitive impairment and global impairment as intervening transient states, and death as competing risk. A multinomial logistic regression model is used to estimate the probability distribution in each row of the one-step transition matrix that correspond to the transient states. We investigate some goodness of fit tests for a multinomial distribution with covariates to assess the fit of this model to the data. We propose a modified chi-square test statistic and a score test statistic for the multinomial assumption in each …

Developing An Alternative Way To Analyze Nanostring Data, Shu Shen

Theses and Dissertations--Statistics

Nanostring technology provides a new method to measure gene expressions. It's more sensitive than microarrays and able to do more gene measurements than RT-PCR with similar sensitivity. This system produces counts for each target gene and tabulates them. Counts can be normalized by using an Excel macro or nSolver before analysis. Both methods rely on data normalization prior to statistical analysis to identify differentially expressed genes. Alternatively, we propose to model gene expressions as a function of positive controls and reference gene measurements. Simulations and examples are used to compare this model with Nanostring normalization methods. The results show that …

Statistical Inference On Dynamical Systems, Hongyuan Wang

Theses and Dissertations--Statistics

The ordinary differential equation (ODE) is one representative and popular tool in modeling dynamical systems, which are widely implemented in physics, biology, economics, chemistry and biomedical sciences, etc. Because of the importance of dynamical systems in scientific studies, they are the main focuses of my dissertation.

The first chapter of the dissertation is introduction and literature review, which mainly focuses on numerical integration algorithms of ODEs that are difficult to solve analytically, as well as derivative-free optimization algorithms for the so-called inverse problem.

The second chapter is on the estimation method based on numerical solvers of differential equations. We start …

Statistical Methods For Environmental Exposure Data Subject To Detection Limits, Yuchen Yang

Theses and Dissertations--Statistics

In this dissertation, we develop unified and efficient nonparametric statistical methods for estimating and comparing environmental exposure distributions in presence of detection limits. In the first part, we propose a kernel-smoothed nonparametric estimator for the exposure distribution without imposing any independence assumption between the exposure level and detection limit. We show that the proposed estimator is consistent and asymptotically normal. Simulation studies demonstrate that the proposed estimator performs well in practical situations. A colon cancer study is provided for illustration. In the second part, we develop a class of test statistics to compare exposure distributions between two groups by using …

Statistical Inference On Trimmed Means, Lorenz Curves, And Partial Area Under Roc Curves By Empirical Likelihood Method, Yumin Zhao

Theses and Dissertations--Statistics

Traditionally the inference on trimmed means, Lorenz Curves, and partial AUC (pAUC) under ROC curves have been done based on the asymptotic normality of the statistics. Based on the theory of empirical likelihood, in this dissertation we developed novel methods to do statistical inferences on trimmed means, Lorenz curves, and pAUC. A common characteristic among trimmed means, Lorenz curves, and pAUC is that their inferences are not based on the whole set of samples. Qin and Tsao (2002), Qin et al. (2013), and Qin et al. (2011) recently published their re- searches on the inferences of trimmed means, Lorenz curves, …

Improved Models For Differential Analysis For Genomic Data, Hong Wang

Theses and Dissertations--Statistics

This paper intend to develop novel statistical methods to improve genomic data analysis, especially for differential analysis. We considered two different data type: NanoString nCounter data and somatic mutation data. For NanoString nCounter data, we develop a novel differential expression detection method. The method considers a generalized linear model of the negative binomial family to characterize count data and allows for multi-factor design. Data normalization is incorporated in the model framework through data normalization parameters, which are estimated from control genes embedded in the nCounter system. For somatic mutation data, we develop beta-binomial model-based approaches to identify highly or lowly …

Identification Of Early Markers Of Occult Tissue Hypoperfusion In Patients With Multiple Trauma Injuries, Kathryn M. Moore

Theses and Dissertations--Nursing

Injury is a global health problem and in the United States is the leading cause of death for persons aged 1 – 44 years. The primary causes of trauma related death are head injury and hemorrhage; hemorrhagic shock is difficult to recognize in the first hours after trauma. Identification of specific and optimal criteria upon which to base effective triage decisions for trauma patients has been an elusive goal for decades.

The purpose of this dissertation was to identify measures available in the prehospital phase of care and in the Emergency Department that should be included for a more comprehensive …

Acute Kidney Injury In Patients Treated With Vancomycin And Piperacillin-Tazobactam: A Retrospective Cohort Analysis, Wilbur Cliff Rutter

Theses and Dissertations--Pharmacy

Empiric antimicrobial therapy often consists of the combination of Gram-positive coverage with vancomycin (VAN) and Gram-negative coverage, specifically an anti-pseudomonal beta-lactam, such as piperacillin-tazobactam (PTZ). Nephrotoxicity is commonly associated with VAN therapy; however, recent reports demonstrate increasing nephrotoxicity rates among patients treated with the combination of VAN and PTZ. This study evaluated the effect of the VAN/PTZ combination on acute kidney injury (AKI), as defined by the RIFLE criteria, compared to VAN and PTZ monotherapies.

Overall, 11,650 patients were analyzed, with 1,647 (14.1%) AKI cases occurring. AKI was significantly more frequent in the VAN/PTZ group (21%) compared to either monotherapy …

Evaluating A Bystander Intervention Program On Reproductive Coercion: Using Quasi-Experimental Design Strategies To Address Methodologic Issues In Randomized Community Prevention Trials, Catherine P. Starnes

Theses and Dissertations--Epidemiology and Biostatistics

Community (or cluster) randomized trials are trials in which communities or groups of individuals (clusters) are randomized to receive the intervention of interest. Community randomized trials frequently more closely resemble a natural experiment than a randomized controlled trial (RCT) following intervention allocation. In particular, the effects of non-compliance can pose methodologic challenges in estimating the intervention effect which may require a quasiexperimental approach in order to minimize bias.

The motivating example to illustrate these issues is the Green Dot High School (GDHS) study. The GDHS study was a longitudinal, cluster-randomized controlled trial designed to assess the effectiveness of a bystander …

Flow Visualization Of Buoyant Instability In A Cross-Flow: An Implication For Flame Spread Over Forest Fuel Beds, Nikolay Gustenyov

Theses and Dissertations--Mechanical and Aerospace Engineering

This thesis reports small-scale laboratory experiments designed to visualize the flow over a heated plate. A low-speed wind tunnel was built, and a heating plate was flush mounted on the wind tunnel floor to provide a uniform heat flux over its surface. A paper thin cloth soaked with commercially available Vaseline was placed on top of the heating plate to produce thick smoke streaks that were carried downstream by a horizontal airflow. Both LED light and a laser sheet of approximately 30-degrees open angle were separately used to illuminate this flow, the latter advanced downstream with 1-cm interval from the …

Development Of An Unmanned Aerial Vehicle For Atmospheric Turbulence Measurement, Brandon M. Witte

Theses and Dissertations--Mechanical and Aerospace Engineering

An unmanned aerial vehicle was developed to study turbulence in the atmospheric boundary layer. The development of the aircraft, BLUECAT5, and instrumentation package culminated in a series of flight experiments conducted in two different locations near Stillwater, Oklahoma, USA. The flight experiments employed the use of two of the unmanned aerial vehicles flying simultaneously, each containing a five-hole pressure probe as part of a turbulence-measuring instrumentation package. A total of 18 flights were completed with the objective to measure atmospheric properties at five altitudes between 20 and 120 meters. Multiple flights were flown over two days in which the effects …

A Study On Student Learning In Higher Education: Art Exhibition Motivation, Olivia M. Lussi

Theses and Dissertations--Art and Visual Studies

This study explored whether non-majors at the University of Kentucky, were more motivated in a particular course when their finished project was introduced to the public through an art exhibition. The problem being addressed that since the passing of Senate Bill One in 2009 the high school art requirement in Kentucky is met by “allowing a foreign language course, career and technical education course, or a computer technology or programming course to meet the arts and humanities requirement for high school graduation” (Wilson et al., 2016, para. 1). A mixed methods approach with an action research design was used for …

Everyone Agreed On Something: How New Jersey's Teaching Act Puts Testing Before Students, And Firing Before Teaching, Daniel T. Paxton

Student Works

No abstract provided.

Drones And Machine Learning Analytics – The Best Way To Provide Privacy Safeguards On Drone Surveillance Is With Technology, Not Law, Victoria Dorum

Student Works

No abstract provided.

Crowding The Exits: Quantitative Equity Market Portfolio Endogenity, And 13f Disclosure As Catalyst For Systemic Liquidityshock And Contagion, William Evan Gorman

Student Works

No abstract provided.

Risk And Protective Factors Associated With Motorcycle Injury Severity In The United States, Deogratias Eustace, Sunanda Dissanayake

Civil and Environmental Engineering and Engineering Mechanics Faculty Publications

According to the Centers for Disease Control and Prevention, road crashes are one of the major causes of morbidity and mortality in the United States. The Healthy People 2020 has indicated that accidents are a major public health issue. Most motor-vehicle related events resulting in injury, disability, or death are predictable and preventable. Injuries are the leading cause of death for Americans aged 1 to 44 years and a leading cause of disability for all ages, regardless of sex, race/ethnicity, or socioeconomic status. Although motorcycles represent approximately 3% of all registered vehicles in the United States, motorcycling accounts for more …

Existence Of Periodic Solutions For A Quantum Volterra Equation, Muhammad Islam, Jeffrey T. Neugebauer

Mathematics Faculty Publications

The objective of this paper is to study the periodicity properties of functions that arise in quantum calculus, which has been emerging as an important branch of mathematics due to its various applications in physics and other related fields. The paper has two components. First, a relation between two existing periodicity notions is established. Second, the existence of periodic solutions of a q-Volterra integral equation, which is a general integral form of a first order q-difference equation, is obtained. At the end, some examples are provided. These examples show the effectiveness of the relation between the two periodicity notions that …

Positive Solutions For A Singular Fourth Order Nonlocal Boundary Value Problem, John M. Davis, Paul W. Eloe, John R. Graef, Johnny Henderson

Mathematics Faculty Publications

Positive solutions are obtained for the fourth order nonlocal boundary value problem, u⁽⁴⁾=f(x,u), 0 < x < 1, u(0) = u''(0) = u'(1) = u''(1) - u''(2/3)=0, where f(x,u) is singular at x = 0, x=1, y=0, and may be singular at y=∞. The solutions are shown to exist at fixed points for an operator that is decreasing with respect to a cone.

Almost Automorphic Solutions Of Delayed Neutral Dynamic Systems On Hybrid Domains, Murat Adıvar, Halis Can Koyuncuoğlu, Youssef Raffoul

Mathematics Faculty Publications

We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We use exponential dichotomy and prove uniqueness of projector of exponential dichotomy to obtain some limit results leading to sufficient conditions for existence of almost automorphic solutions to neutral system. Unlike the existing literature we prove our existence results without assuming boundedness of the coefficient matrices in the system. Hence, we significantly improve the results in the existing literature. Finally, we also provide an existence result for an almost periodic solutions of the system.