Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 21-40 of 154
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BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ... -
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 ... -
COMPRESSIVE DECONVOLUTION OF MRI IMAGING VIA ℓ1 − ℓ2 REGULARIZATION
(2021-08-09)The evolution of technology has drastically impacted the imaging field, particularly magnetic resonance imaging (MRI). Compared to other imaging technologies, MRI offers multiple contrasting mechanisms to distinguish tissues ... -
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 ... -
Decomposition of Modules and Tensor Products over Principal Subalgebras of Truncated Polynomial Rings
(2022-08-15)The topic of my dissertation is to investigate the behavior of modules and tensor products over a truncated polynomial ring with prime characteristic. This investigation utilizes principal subalgebras of the truncated ... -
DECONVOLVING KERNEL REGRESSION FUNCTION ESTIMATION BASED ON RIGHT CENSORED DATA
(2021-08-16)In this study, we propose a new regression function estimator when the observa- tion is contaminated in the convolution model with error in independent variable. We want to examine the e ect of the error variables when ... -
Differential Equation Models Of Foreign Body Fibrotic Reactions For Assessing Roles Of Macrophage Phenotypes And Mesenchymal Stem Cells
Implant failure due to fibrotic encapsulation is an ongoing challenge in the bio-medical field. We develop two mathematical models based on partial differential equations in two spatial dimensions, and use them to gain ... -
Direct Numerical Simulation For Flow Transition Over A Flat Plate
(Mathematics, 2007-08-23)In this paper, direct numerical simulation (DNS) of flow transition over a flat plate at a free stream Mach number of 0.5 and a Reynolds number of 1000 based on the free stream velocity and inflow displacement thickness ... -
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 ... -
DNS Study For The Origin Of The Chaos In Late Boundary Layer Transition Over A Flat Plate
(Mathematics, 2014-03-12)This dissertation is devoted to the investigation of the origin and mechanism of chaos ( asymmetric or disorganized flow) in late boundary layer transition over a flat plate without pressure gradient. This kind of flow not ... -
Effects Of Discrete Time Delays And Parameters Variation On Dynamical Systems
(Mathematics, 2013-10-23)To understand the effects of discrete time delays and of parameters variation on certain biological system models, we first consider a Delay Differential Equation model of human immunodeficiency virus (HIV). We investigate ... -
Effects Of Vector Migration On Sylvatic Trypanosoma Cruzi Transmission
(Mathematics, 2012-07-25)Vector-borne diseases have had a major impact on global health concerns since their discovery in the 1800's. A vector-borne disease is one transmitted to human or animal host via an invertebrate vector (usually an insect). ... -
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory
(Mathematics, 2008-08-08)This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spike-in probes found on commercial microarrays, ... -
Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity
(Mathematics, 2014-09-17)A preliminary test estimator of variance in the bivariate normal distribution is proposed after Pitman-Morgan test of homogeneity of two variances. We propose one estimator of variance after preliminary test of two tails ... -
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 ... -
Examining the Concept Images of Function Held by Preservice Secondary Mathematics Teachers with Varying Levels of Prior Mathematical Experience
(2020-05-20)This multiple case study examines the function concept images of preservice secondary mathematics teachers (PSMTs) enrolled in a mathematics content course designed specifically for PSMTs at a large urban university in the ... -
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 ... -
EXPECTATION MAXIMIZATION-BASED LIKELIHOOD INFERENCE FOR COM-POISSON CURE RATE MODEL WITH INTERVAL CENSORED DATA
(2016-12-02)A cure rate or long-term survival model is a model for survival data with the presence of a cure fraction. In this study, we consider the analysis of a cure rate model with interval-censored data, which is one of the most ... -
EXPLORING DEVELOPMENT OF PROBLEM SOLVING STRATEGIES IN EMERGING MATHEMATICIANS
(2021-04-29)To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor ... -
Exponential Tensor Modules
(2022-06-02)Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ...