Browsing MATH Theses and Dissertations by Type "Thesis"
Now showing items 120 of 61

A brief treatise on the Joukowski transformation
(Wichita State University, 195406)The problem of predicting the flight characteristics of an arbitrary airfoil is very complicated, and does not readily lend itself to exact mathematical methods. However if certain simplifying assumptions are made the ... 
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 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 ... 
A set of exercises to be used with Dr. C. B. Read's Manual of Statistics
(Wichita State University, 195606)A need has been expressed for an extensive set of problems which may be used as a supplement to the text and which can be used for both courses in statistics. It is the purpose of this study to develop such a set of ... 
An analysis of the replies to the Kansas American Association of University Women's questionnaire on teacher welfare
(Wichita State University, 194805) 
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 ... 
Applied topological data analysis to ElNiño Southern Oscillation
(Wichita State University, 202107)The El Niño Southern Oscillation (ENSO) is one of the most powerful climate phenomena that can change global air circulation, affecting temperature and rainfall around the planet. ENSO has three phases: El Niño and La ... 
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 ... 
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) 
Concept study for observing galactic neutrinos in Neptune’s atmosphere
(Wichita State University, 202205)I discuss the feasibility of a conceptual spacebased neutrino detector that utilizes the Ice Giants as targets for galactic neutrinos. The purpose of this research stems from the concept of wanting to find a new method ... 
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 ... 
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 ... 
Effect of lowtemperature opacities on stellar evolution
(Wichita State University, 202112)Stellar evolution is studied through computational models of stars since any perceived change in the stars can take thousands if not millions of years. One of the physical quantities that defines the evolution of a star ... 
Elementary applications of matrices
(Wichita State University, 194807)This treatise is concerned principally with the fundamental properties of matrices, the basic operations which may be performed with them, and some of their applications to algebra, analytic geometry, and differential ...