Dissertations & Theses: Recent submissions
Now showing items 61-80 of 173
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POSTERIOR NORMAL APPROXIMATION OF REAL-TIME DEGRADATION MODELING USING LAPLACE APPROXIMATION
(2018-09-05)Preventing failure that can cause delays or catastrophe, has been the focus and motivation for engineers, and other establishments that deals with heavy and light machinery, equipment, and devices. One of the biggest ... -
Modeling Plant Virus Propagation and an Optimal Control
(2018-08-10)Plants are a food source for man and many species. They also are sources of medicines, fibers for clothes, and are essential for a healthy environment. But plants are subject to diseases many of which are caused by ... -
Mathematical Modeling of the Bone Remodeling Process
(2018-08-10)The skeleton is a very important organ that needs to be continuously remodeled due to microdamage, changes in mechanical loading, or mineral homeostasis. The bone remodeling process is responsible for maintaining the ... -
Optimizing Krylov Subspace Methods for Linear Systems and Least Squares Problems
(2018-08-10)The linear system and the linear least squares problem are two fundamental numerical linear algebra problems. Krylov subspace methods are the most practical and common techniques to build solvers. In this thesis, we focus ... -
Discrete Time Risk Models With Random Premiums
(2018-04-27)Over the past century insurance companies relied to a large extent on the continuous time Mathematical Risk Model proposed by Lundberg, known for its ability to estimate the probability of ruin(capital reserve falling below ... -
Projective Geometry Associated to some Quadratic, Regular Algebras of Global Dimension Four
(2018-05-02)The attempted classification of regular algebras of global dimension four, so-called quantum P³s, has been a driving force for modern research in noncommutative algebra. Inspired by the work of Artin, Tate, and Van den ... -
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 ... -
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 ... -
A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT
(2017-08-28)The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ... -
Image Reconstruction from Incomplete Radon Data and Generalized Principal Component Analysis
(2017-08-11)Image reconstruction in various types of tomography requires inversion of the Radon transform and its generalizations. While there are many stable and robust algorithms for such inversions from reasonably well sampled data, ... -
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 ... -
A Mathematical Model of Hepatitis C Virus Infection Incorporating Immune Responses and Cell Proliferation
(2017-08-03)This thesis introduces a mathematical model of differential equations for the chronic hepatitis C virus (HCV) infection, which is a contagious disease that infects the liver cells. Firstly, we present the early mathematical ... -
EVOKED AND SPONTANEOUS NEUROTRANSMITTER RELEASES FOR INDEPENDENT SYNAPTIC CURRENTS: MATHEMATICAL MODELING AND ANALYSIS
(2017-08-01)Synapses play a major role in neuron communications in the brain. The synapses act through a chemical process called synaptic fusion between pre-synaptic and post-synaptic terminals. Presynaptic terminals release ... -
HIGH ORDER DNS FOR VORTEX STRUCTURE IN LATE FLOW TRANSITION
(2017-08-02)Turbulence is still a world puzzle after over one hundred years research, and the current and classical theories brim with self-contradictions. C. Liu proposed a new theory on turbulence generation and structure after 28 ... -
A study on traveling wave solutions in the shallow-water-type system
(2017-08-08)The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ... -
Characterizing College Algebra Students' Mathematical Problem Solving
(2017-09-01)This study examines the mathematical problem solving (MPS) practices of students enrolled in College Algebra at a large urban university in the southwestern United States. The primary research question explores how to ... -
MATHEMATICAL METHODS FOR VORTEX IDENTIFICATION WITH APPLICATION ON SHOCK WAVE VORTEX RING INTERACTION
(2017-06-08)Vortices are seen everywhere in nature, from smoke rings to tornadoes. Vortical structures play an essential role in the turbulence dynamics such as turbulence generation, kinetic energy production and dissipation, enhancement ... -
A SNAPSHOT OF THE ALIGNMENT OF UNIVERSITY STUDENTS’ MATHEMATICAL PROBLEM SOLVING PRACTICES TO A LIKERT SCALE ASSESSMENT OF MATHEMATICAL PROBLEM SOLVING
(2017-05-22)This study investigates the alignment of students' actual problem-solving practices and compares them to the outcomes on a Likert scale mathematical problem solving (MPS) assessment. The Likert scale survey items developed ... -
Existence of Exact Zero Divisors and Totally Reflexive Modules in Artinian Rings
(2017-05-10)In this dissertation, we consider commutative local Artinian rings (A, m, k), which are rings that satisfy the descending chain condition on ideals. First, we investigate the existence of exact zero divisors in Artinian ... -
NONPARAMETRIC ADAPTIVE DISTRIBUTION-FREE PROCEDURE FOR CROSSOVER DESIGN WITH REPEATED MEASURES
(2017-05-11)We propose to apply adaptive nonparametric procedures (Hill, Padmanabhan, & Puri, 1988) on 2x2 crossover design with repeated measures. We will derive the test-statistics (based on function of ranks) and find their ...