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Browsing MATH Theses and Dissertations by Title

Browsing MATH Theses and Dissertations by Title

Now showing items 6-25 of 27

Equivalence testing for mean vectors of multivariate normal populations

Clarkson, Elizabeth (Wichita State University, 2010-05)

This dissertation examines the problem of comparing samples of multivariate normal data from two populations and concluding whether the populations are equivalent; equivalence is defined as the distance between the mean ...
The existence of Morse-Smale diffeomorphisms in the family of Hénon maps

Wiggins, Shawn (Wichita State University, 2009-05)

We consider Hénon maps on ℝ² of the form fa,c(x,y)=(y,y2+c+ax) with real parameters (a, c). Due to the work of S. Hayes and C. Wolf [8], we provide a detailed investigation of the parameters 0 < a < 1 and c = 0. For each ...
Forty two problems of first degree from Diophantus’ Arithmetica

Parker, Phillip E.; Richardson, William H. (Wichita State University, 2010-12)

This work brings to the audience Diophantus' problems of first degree in a literal word for word English translation from Ver Eecke's French translation of Arithmetica. In addition, these problems are accompanied by ...
A historical overview of connections in geometry

Freeman, Kamielle (Wichita State University, 2011-05)

This thesis is an attempt to untangle/clarify the modern theory of connections in Geometry. Towards this end a historical approach was taken and original as well as secondary sources were used. An overview of the most ...
Increased stability of solutions to the Helmholtz equation

Aralumallige, Deepak (2005-12)

Study of the Cauchy problem for Helmholtz equation is stimulated by the inverse scattering theory and more generally by remote sensing. This thesis explains the increased stability of the Cauchy problem for Helmholtz ...
Inverse doping profile analysis for semiconductor quality control

Myers, Joseph Kenneth (Wichita State University, 2009-12)

Inverse doping pro le problems are linked to inverse conductivity problems under the assumptions of zero space charge and low injection. Unipolar inverse conductivity problems are analyzed theoretically via three uniqueness ...
An investigation of capillary surfaces at non-convex corners

Mitchell, Colm Patric (Wichita State University, 2009-12)

In this thesis we take a close look at the paper CMC Capillary Surfaces at Reentrant Corners [33] a central feature of which is the question of when does the "central fan" of radial limits exist for a capillary graph in a ...
Investigations in single layer gravitational potential

Stewart, Darrell Anne (Wichita State University, 2010-05)
Multivariate isotonic regression and its algorithms

Hoffmann, Linda (Wichita State University, 2009-05)

We use regression functions, which are the means of random variables, to interpret statistical inference. Often an order is imposed on the values of the regression function. Thus, we refer to the regression as an order ...
Numerical computation of Schwarz-Christoffel transformations and slit maps for multiply connected domains

Kropf, Everett (Wichita State University, 2012-05)

Two methods for the numerical conformal mapping of domains with m < ∞ separated circular holes to domains with m polygonal holes are presented; bounded and unbounded domains are both considered. The methods are based on ...
Order restricted A-basis and B-basis values

Huelskamp, Leo (Wichita State University, 2012-05)

In this thesis, the concept of A-basis and B-basis as it relates to the aviation industry is studied. The rst assumption that will be made in order to help with the formulation of the A-basis and B-basis values is that ...
Order restricted inferences about lifetimes under censoring

Malla, Ganesh B. (Wichita State University, 2009-07)

In survival analysis and in the analysis of the life tables an important biometric function of interest is the mean residual life function (MRLF) M whose value at age t is the average future life time given that a subject ...
A pair of stationary stochastic processes with application to Wichita temperature data

Li, Qi (Wichita State University, 2010-08)

The thesis investigates a pair of stationary stochastic process models whose domains are the set of integers and the set of real numbers respectively. The stationary processes with our specific correlation functions ...
Some remarks on constructive Yukawa theory in four dimensions

Harder, Theodore Mark (Wichita State University, 2008-05)

We have found an exact solution to the nonlinear Yukawa system in four dimensions, and used it to derive the time development of the system. Theorems are stated and proved regarding the essential self-adjointness of the ...
Spectral methods solution of the Navier-Stokes equations for steady viscous flows

Vargas, German A. (Wichita State University, 2009-05)

A combination of Spectral Methods and Finite Differences will be used to solve the Navier-Stokes equations for a viscous flow past a circular cylinder and past symmetric Joukowski airfoils. Different discretizations of ...
Stability estimates for inverse problems of some elliptic equations

Ingle, William Nathan (Wichita State University, 2011-12)

In this dissertation we obtain new Carleman formulas for the solution of the Cauchy problem for equations P u = h, in Ω, u|E = f , where E ⊂ ∂Ω and | E | > 0. Our elliptic operator is of the form P = [ [2∂¯ 0 ; ...
Stability of continuation and obstacle problems in acoustic and electromagnetic scattering

Subbarayappa, Deepak Aralumallige (Wichita State University, 2010-12)

Study of the Cauchy problem for Helmholtz equation is motivated by the inverse scattering theory and more generally by remote sensing. In this dissertation the increased stability of the Cauchy problem for Helmholtz ...
A study of particular coordinate systems

Ragan, Jennifer D. (Wichita State University, 2011-05)

This thesis is a study of the properties and relationships between isothermal, harmonic and characteristic coordinate systems. The proof of the existence of isothermal and characteristic coordinates on a manifold which ...
Testing homogeneity of a parameter matrix some of the rows of which are under synchronized order restrictions

Banerjee, Arijit (Wichita State University, 2011-12)

This research considers a multiple multivariate linear regression model with a parameter matrix some of the rows of which are constrained by synchronized order restrictions. The test on the homogeneity of the parameter ...