Browsing Dissertations & Theses by Issue Date
Now showing items 21-40 of 173
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Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear
(Mathematics, 2009-09-16)Testing the equality of regression coefficients between two regression equations is a common practice in statistics today. The theory and methods are sufficiently developed under ordinary least squares (OLS) estimation. ... -
Logistic Regression With Misclassified Covariates Using Auxiliary Data
(Mathematics, 2009-09-16)When standard regression methods are used, measurement errors cause a bias in parameters estimation. In dealing with discrete covariates, such measurement errors are known as misclassification and the corresponding discrete ... -
Analysis And Simulation In Neuron And Fibrosis Models
(Mathematics, 2009-09-16)In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ... -
The Uniqueness Of Minimal Acyclic Complexes
(Mathematics, 2009-09-16)In this paper, we discuss conditions for uniqueness among minimal acyclic complexes of finitely generated free modules over a commutative local ring which share a common syzygy module. Although such uniqueness occurs over ... -
Optimal Control Approach To Image Registration
(Mathematics, 2010-03-03)The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.In the ... -
Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis
(Mathematics, 2010-03-03)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ... -
Adaptive Nonparametric Distribution-free Procedures In Factorial Data Analysis
(Mathematics, 2010-03-03)Many statisticians have questioned the basic assumptions about underlying models which might dominate the analysis of the data in many cases. The assumption of normality without much thought is of concern to a growing group ... -
Conditional Confidence Intervals Of Process Capability Indices Following Rejection Of Preliminary Tests
(Mathematics, 2010-07-19)Finding an ordinary confidence interval of an unknown parameter is well known, but finding a conditional confidence interval following rejection of a preliminary test is not so noted, especially for finding a conditional ... -
Cuspidal Modules Of The Lie Superalgebras Osp(1|2n)
(Mathematics, 2010-11-01)The classification of all bounded weight modules for the classical Lie superalgebras is an open question. Only recently, in fact, has the question been closed for the Lie algebras (see Mathieu). We give a differential ... -
Some Problems Of Integral Geometry In Advanced Imaging
(Mathematics, 2011-07-14)During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies ... -
A Snapshot Of Advanced High School Students' Understanding Of Continuity
(Mathematics, 2011-07-14)We report on a study of sixteen high school calculus and seven precalculus students' concept image and concept definition of continuity after one-trimester of instruction at a large suburban high school in the southwestern ... -
An Investigation Of The Conceptual Understanding Of Continuity And Derivatives In Calculus Of Emerging Scholars Versus Non-emerging Scholars Program Students
(Mathematics, 2011-07-14)The Emerging Scholars Program (ESP) has been adapted at colleges and universities across the nation in efforts to increase student access to Science, Technology, Engineering and Mathematics (STEM) disciplines. This study ... -
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ... -
On The Existence Of Totally Reflexive Modules
(Mathematics, 2011-07-14)In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ... -
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ... -
A Mathematical Model For Swine Flu 2009 With Vaccination
(Mathematics, 2011-10-11)H1N1 influenza is one of the deadliest diseases in human's history. Swine Flu 2009 is the same virus and it was named in 2009. Vaccination is of the most common ways to control a disease. We offer a new vaccination model ... -
Predictive Model For Bigheaded Carps In Mississippi River
(Mathematics, 2012-04-11)Bigheaded carps refer to two species of fish called Silver carp and Bigheaded carp which have invaded the Upper Mississippi River System and are causing nuisance to the native fish like catfish, paddlefish and gizzard Shad ... -
High Order DNS For Late Flow Transition
(Mathematics, 2012-07-25)In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ... -
A Study On The Two Component Periodic Shallow Water Systems
(Mathematics, 2012-07-25)In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ... -
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ...