Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 132-151 of 154
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Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ... -
Simple Weight Modules of the Lie Algebra of Vector Fields of C2
(2017-08-14)Classification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 ... -
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ... -
Some Multivariate Process Capability Indices
Process capability indices (PCIs) play an important role in the field of Statistical Process Control. Prior to the last 25 years, PCIs had been formulated to assess the quality of a single product characteristic. Product ... -
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 ... -
SOME QUADRATIC QUANTUM P³s WITH A LINEAR ONE-DIMENSIONAL LINE SCHEME
(2021-05-20)It is believed that quadratic Artin-Shelter regular (AS-regular) algebras of global dimension four (sometimes called quadratic quantum P3s can be classified using a geometry similar to that developed in the 1980’s by ... -
Some Quadratic Regular Algebras on Four Generators Wtih A 1-Dimensional Nonreduced Line Scheme
(2019-12-19)In the 1980s, M. Artin, J. Tate, and M. Van den Bergh applied geometric techniques to noncommutative algebras. Their work introduced algebraic concepts called point modules and line modules and an associated geometric ... -
STABILITY STUDY ON SHEAR FLOW AND VORTICES IN LATE BOUNDARY LAYER TRANSITION
(2017-08-09)Turbulence is still an unsolved scientific problem, it has been regarded as “the most important unsolved problem of classical physics”. Dr. Liu proposed a new mechanism about turbulence generation and sustenance after ... -
STATISTICAL ESTIMATION IN MULTIVARIATE NORMAL DISTRIBUTION WITH A BLOCK OF MISSING OBSERVATIONS
(2017-10-16)Missing observations occur quite often in data analysis. We study a random sample from a multivariate normal distribution with a block of missing observations, here the observations missing is not at random. We use maximum ... -
Stochastic Reliability Models for a General Server and Related Networks
(2016-04-22)There are many types of systems which can be dubbed servers, i.e. a retail checkout counter, a shipping company, a web server, or a customer service hotline. All of these systems have common general behavior: requests or ... -
STOCHASTIC RISK MEASURES FOR THE LUNDBERG MODEL WITH REINSURANCE AND INVESTMENT
(2020-11-24)Risk measures emerge in fields such as economics, insurance, finance and are concerned with a stochastic representation of uncertainties stemming from the unpredictability of the real world events. In essence, risk analysis ... -
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
(Mathematics, 2008-08-08)Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ... -
A Study On The B Family Of Shallow Water Wave Equations
(Mathematics, 2009-09-16)In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ... -
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 ... -
Support and Rank Varieties of Totally Acyclic Complexes
(2016-08-12)Support and rank varieties of modules over a group algebra of an elementary abelian p-group have been well studied. In particular, Avrunin and Scott showed that in this setting, the rank and support varieties are equivalent. ... -
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. ... -
The Natural Middle of a Complete Resolution
(2021-08-23)It is widely known that minimal free resolutions of a module over a complete intersection ring have nice patterns that arise in their Betti sequences. In the late 1990's Avramov, Gasharov and Peeva defined a new class of ... -
THREE DIMENSIONAL IMAGE RECONSTRUCTION (3DIRECT) OF SPARSE SIGNALS WITH MRI APPLICATION
(2016-11-29)Sparse signal reconstruction has been steadily gaining tremendous attention, specifically in applications of compressed sensing as well as feature selection in signal processing methods [IEEE Signal Processing, Vol. 25 ... -
Twisting Systems and some Quantum P³s with Point Scheme a Rank-2 Quadric
(2022-05-18)In 1996, J. J. Zhang introduced the concept of twisting a graded algebra by a twisting system, which generalizes the concept of twisting a graded algebra by an automorphism (the latter concept having been introduced in an ... -
Uniform Weighted Compact / Non-compact Schemes For Shock / Boundary Layer Interaction
(Mathematics, 2008-08-08)The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / non-compact scheme ...