Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 46 for “"Other Applied Mathematics"”.
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Theoretical epidemiology analysis of Plague, Polio, and Covid-19 outbreak
<p>Infectious diseases have been a persistent challenge to global health throughout history, and they continue to pose a significant threat in the present day. With the emergence of new diseases and the reemergence of existing ones, understanding the transmission dynamics, and developing effective …
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On the use of utility billing information for predicting homelessness
… This performance is essentially the same as other homelessness prediction models in the literature. Model performance would likely improve with additional data more related to homelessness such as income, social service usage, and medical service usage.</p>
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Isometries of Besov Type Spaces among Composition Operators
<p>Let Bp,alpha for p >1 and alpha >1 be the Besov type space of holomorphic functions on the unit disk D. Given Phi, a holomorphic self map of D, we show the composition operator CPhi is an isometry on Bp,alpha if and only if the weighted composition operator WPhiPhi, is an isometry on the …
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Error correcting binary codes
<p>In this paper we consider ways of appending k binary check digits to an n binary digit message word resulting in an n + k sequence of digits called a code word. Determining the k check digits is the "encoding problem." In Chapters 1, 2, 3, and 5, we are primarily concerned with linear codes in …
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Image restoration using sub-images and confidence intervals
<p>In applications, images are recorded, blurred, and noisy. This work aims to compute confidence intervals for quantifying the uncertainty of a reconstructed image. By partitioning the image into sub-images, the algorithm remains effective while becoming more efficient. Sub-images also provide …
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Enumerating Graphs Using Integrals From Quantum Field Theory
… graphs is a relatively new subfield of mathematics. In this thesis, we will discuss a enumerative method that derives from Quantum Field Theory. We begin with the basic ideas of Calculus and extend them into a enumerative method that will allow us to classify graphs embedded on …
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THINKING POKER THROUGH GAME THEORY
… game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration …
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Using Modern Portfolio Theory to Analyze Virgil's Aeneid (or Any Other Poem)
… paper demonstrates that it is possible to use mathematics to study literature as it has been used to study the social sciences. By focusing on mathematically defining economic and literary terms, it can be shown that the underlying mathematical structure behind key concepts in economics and …
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Closed-Range Composition Operators on Weighted Bergman Spaces and Applications
<p>We will discuss necessary and sufficient conditions for a Composition Operator to be closed range on the weighted Bergman spaces. The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give …
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Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains
<p>In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good …
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Generating Surfaces of Variable Eccentricity Within a Ray Tracer
<p>Polynomial surfaces used in ray tracing have recently been improved upon allowing for three dimensional applications. Among these are surfaces that have a varying eccentricity. This paper will discuss a method for finding real roots of polynomials [allowing us to create these surfaces]. First, …
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Approximation of the Scattering Amplitude using Nonsymmetric Saddle Point Matrices
<p>In this thesis we look at iterative methods for solving the primal (<strong>A</strong>x = b) and dual (<strong>A</strong><em><sup><strong>T </strong></sup></em>y = g) systems of linear equations to approximate the scattering amplitude defined by g<em><sup><strong>T</strong></sup></em>x …
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Graphs of Classroom Networks
… with the same degree sequence. Then, we run another algorithm to find the isomorphism classes within the randomly generated graphs. Once we have reduced the problem to the isomorphism classes, we can then choose a graph we think most accurately describes the classroom network. At the end of …
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On Compactness and Closed-Rangeness of Composition Operators
<p>Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rvert</p>
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Unique Signed Minimal Wiring Diagrams and the Stanley-Reisner Correspondence
… describe how elements in a network affect one another. A signed wiring diagram provides additional information about the interactions between elements relating to activation and inhibition. Due to cost concerns, it is optimal to gain insight into biological networks with as few experiments and …
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The Maximal Thurston-Bennequin Number on Grid Number n Diagrams
<p>We will prove an upper bound for the Thurston-Bennequin number of Legendrian knots and links on a rectangular grid with arc index n.</p> <p>TB(n)=CR(n)-[n/2]</p> <p>In order to prove the bound, we will separate our work for when n is even and when n is odd. After we prove the upper bound, we …
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Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
… near particular locations in the domain. Amongst other results, our analysis will indicate that for appropriate values of the parameter, the curvature of the data in a neighborhood of these locations is responsible for an eventual breakdown of solutions, or their persistence for all time. …
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Solutions of Inequality Constrained Spline Optimization Problems with the Active Set Method
<p>We solve the problem of finding a near-interpolant curve, subject to constraints, which minimizes the bending energy of the curve. Using B-splines as our tools, we give a brief overview of spline properties and develop several different cases of inequality constrained optimization problems of …
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A Normal Truncated Skewed-Laplace Model in Stochastic Frontier Analysis
<p>Stochastic frontier analysis is an exciting method of economic production modeling that is relevant to hospitals, stock markets, manufacturing factories, and services. In this paper, we create a new model using the normal distribution and truncated skew-Laplace distribution, namely the …
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