Browsing MATH Theses and Dissertations by Title
Now showing items 120 of 74

A capillary surface with no radial limits
(Wichita State University, 201705)We begin by discussing the circumstances of capillary surfaces in regions with a corner, both concave and convex. These circumstances led to the (since proved) ConcusFinn Conjecture, which gives the requirements for a ... 
A comparative study of electroweak Higgs boson production at future Hadron Colliders
(Wichita State University, 201807)The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's Large Hadron Collider (LHC), many researches and experiments ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(Wichita State University, 201605)This dissertation compares several methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use ... 
A multiple decision procedure for testing with ordered alternatives
(Wichita State University, 201507)In testing hypotheses with ordered alternatives, the conclusion of an order restriction when rejecting the null hypothesis is very sensitive to the correctness of the assumed model. In other words, when the null hypothesis ... 
Advanced forecasting model on land market value based on USA real estate market
(Wichita State University, 201912)This research presents a time series estimation and prediction methods with the use of classic and advanced forecasting tools. Our discussion about di erent time series models is supported by giving the experimental forecast ... 
Applications of the hCobordism Theorem
(Wichita State University, 201405)We provide an exposition of J. Milnor's proof of the hCobordism Theorem. This theorem states that a smooth, compact, simply connected ndimensional manifold W with n greater than or equal to 6, whose boundary boundaryW ... 
Classification of simply connected cohomogeneity one manifolds in lower dimensions
(Wichita State University, 201705)A cohomogeneity one manifold is a topological manifold with an effective topological action of a compact Lie group whose quotient is one dimensional. Cohomogeneity one manifolds were introduced by Mostert in 1957, however ... 
Composite optimal control for interconnected singularly perturbed systems
(Wichita State University, 201705)This dissertation deals with the design of a decentralized control and estimators for large scale interconnected singularly perturbed stochastic systems for system stabilization and cost minimization. Singular perturbation ... 
Computation of plane potential flow past multielement airfoils using conformal mapping, revisited
(Wichita State University, 201805)Calculations of potential ow and pressure over multielement airfoils are studied, using conformal maps. A composition of classical KarmanTre tz maps is used to smooth out the trailing edge corners successively, from ... 
Computation of Stokes waves using conformal mapping
(Wichita State University, 201605)In this paper we study the time dependent water wave problem for Stokes waves on water of infinite and finite depth using numerical conformal mapping techniques. We begin by briefly reviewing Fornberg's numerical conformal ... 
A computing method for multivariate isotonic regression
(Wichita State University, 201012) 
Conformal deformation of a conic metric
(Wichita State University, 201105)The problem studied here focuses on a compact manifold M without boundary in which the Riemannian metric g is on Λ = M – {p1, p2,…,pκ}. Near the pi 's, g has a particular type of singularity in which locally M = (0, δ)x ... 
Construction and solution of an inverse problem posed by "Piekara’s Chair"
(Wichita State University, 200805)The article "Piekara's Chair: Mechanical Model for Atomic Energy Levels" by Zofia GolabMeyer presents a model of the realworld problem of determining classical energy states suitable for high school or undergraduate ... 
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
(Wichita State University, 201807)We obtain new estimates of stability for continuation of solutions of elliptic inequali ties  ∂u2 < = au2 from finite discrete sets. For this we use Hormander's type of Carleman estimates for ∂bar with boundary ... 
Covariance structures of Gaussian and logGaussian vector stochastic processes
(Wichita State University, 201212)Although the covariance structures of univariate Gaussian and log Gaussian stochastic processes have been extensively studied in the past few decades, the development of covariance structures for Gaussian and logGaussian ... 
Coverage probability of tolerance levels
(Wichita State University, 201812)In this thesis the ideas of the tolerance limit and coverage probabilities are explored in the context of the Abasis and Bbasis for composite materials. The breaking strength of composite materials are random variables ... 
Crack detection in a three dimensional body
(200605)We propose a method of analyzing a crack in a three dimensional body. We treat the problem as an inverse problem and apply Green’s Theorem, Trace Theorem, and the Fredholm Alternative. We model the problem using Helmholtz ... 
Curvature and symmetries of closed fourmanifolds with a lower curvature bound
(Wichita State University, 202005)This thesis details homeomorphism classi cation theorems for closed, simply connected, Riemannian 4manifolds admitting an isometric circle action. We proceed by imposing progressively weaker curvature conditions, which ... 
Derivation and regularization of corrections to propagators and vertices for cubically interacting scalar field theories
(Wichita State University, 201305)This thesis, a mainly expository work, attempts to give all the calculational details for some popular models in scalar quantum eld theory that serve a mostly pedagogical purpose. Starting with a real scalar eld with ... 
Epileptic foci localization using the inverse source problem for Maxwell's equations
(Wichita State University, 202005)Consider an application of the inverse source problem for Maxwell's equations to the matter of epileptic foci localization in the human brain. Using a current dipole to model the epileptic focus in the brain, and by ...