Now showing items 1-20 of 95

• #### The system $x^n + y^n = naxy, a>0$ ﻿

(Wichita State University, 1933-05)
• #### An analysis of the replies to the Kansas American Association of University Women's questionnaire on teacher welfare ﻿

(Wichita State University, 1948-05)
• #### Elementary applications of matrices ﻿

(Wichita State University, 1948-07)
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 ...
• #### The construction of revised objective final examination in statistics ﻿

(Wichita State University, 1949-05)
During the past three years an examination constructed by Dr. C. B. Read, head of the mathematics department of the University of Wichita, has been given to 597 students as the final examination in beginning statistics ...
• #### Infinite products ﻿

(Wichita State University, 1953-06)
• #### Topics in theory of numbers ﻿

(Wichita State University, 1954-05)
• #### A brief treatise on the Joukowski transformation ﻿

(Wichita State University, 1954-06)
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 ...
• #### Increased stability of solutions to the Helmholtz equation ﻿

(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 ...
• #### Crack detection in a three dimensional body ﻿

(2006-05)
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 ...
• #### Theoretical results in inverse problems for size, solvability, and uniqueness in the p-n junction and doping profile of semiconductors ﻿

(2006-05)
We present an overview of mathematical models for electrons and holes in semiconductors. We use these to pose some inverse problems for determining the doping profile of a semiconductor. We establish the solvability of ...
• #### Typical points, invariant measures, and dimension for rational maps on the Riemann sphere ﻿

(2006-05)
We present three original results for the dynamics of rational maps on the Riemann sphere. Using methods from dimension and ergodic theory, we discuss generalized physical measures and prove their existence for hyperbolic ...
• #### Construction and solution of an inverse problem posed by "Piekara’s Chair" ﻿

(Wichita State University, 2008-05)
The article "Piekara's Chair: Mechanical Model for Atomic Energy Levels" by Zofia Golab-Meyer presents a model of the real-world problem of determining classical energy states suitable for high school or undergraduate ...
• #### Some remarks on constructive Yukawa theory in four dimensions ﻿

(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 ...
• #### The existence of Morse-Smale diffeomorphisms in the family of Hénon maps ﻿

(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 ...
• #### Multivariate isotonic regression and its algorithms ﻿

(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 ...
• #### Spectral methods solution of the Navier-Stokes equations for steady viscous flows ﻿

(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 ...
• #### A Fornberg-like method for the numerical conformal mapping of bounded multiply connected domains ﻿

(Wichita State University, 2009-05)
A new Fornberg-like method is presented for computing conformal maps from the interior of the unit disk with m-1 circular holes to the interior of a smooth closed curve with m-1 holes bounded by smooth curves. The method ...