Browsing Mathematics, Statistics, and Physics by Title
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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 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 class of adaptive multiresolution ultraweak discontinuous Galerkin methods for some nonlinear dispersive wave equations
(Society for Industrial and Applied Mathematics Publications, 20220329)In this paper, we propose a class of adaptive multiresolution (also called the adaptive sparse grid) ultraweak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispersive wave equations including the ... 
A class of stationary random fields with a simple correlation structure
(Academic Press, 20040715)A stationary random field is often more complicated than a univariate stationary time series, since dependence for a random field extends in all directions, while there is only the natural distinction of past and future ... 
A comparative study of electroweak Higgs boson production at future hadron colliders
(Wichita State University, 20190426)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 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 exploratory study to create an antineutrino directional and ranging sensitive detector (NUDAR)
(Wichita State University, 202307)This research project set out to do an exploratory study to find a novel way to detect $\bar{\nu }$ for small reactor powered vessels and to analyze the potential capabilities within the realm of nuclear defense. A ... 
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 novel Bayesian method for variable selection and estimation in binary quantile regression
(John Wiley & Sons, Ltd, 20220703)In this paper, we develop a Bayesian hierarchical model and associated computation strategy for simultaneously conducting parameter estimation and variable selection in binary quantile regression. We specify customary ... 
A pseudo restricted maximum likelihood estimator under multivariate simple tree order restriction and an algorithm
(Wichita State University, 202107)The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(XC_{pxq}),$ plays an important role in order restricted statistical ... 
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 ... 
A strong law of large numbers for nonparametric regression
(Academic Press, 1989071)Suppose (i1,n, ..., in,n) is permutation of (1, ..., n) for each positive integer n such that the order of the indices {1, h., n  1} in the permutation corresponding to n  1 is preserved. If {Zn} is a sequence of meanzero ... 
Accessibility and selective stabilization of the principal spin states of iron by pyridyl versus phenolic ketimines: modulation of the (6)a(1) <> t2(2) groundstate transformation of the [fen4o2](+) chromophore
(AMER CHEMICAL SOC, 20120806)Several potentially tridentate pyridyl and phenolic Schiff bases (apRen and HhapRen, respectively) were derived from the condensation reactions of 2acetylpyridine (ap) and 2'hydroxyacetophenone (Hhap), respectively, with ... 
Accessing gluon polarization with high${P}_{T}$ hadrons in SIDIS
(American Physical Society, 20230227)A recent global QCD analysis of jet production and other polarized scattering data has found the presence of negative solutions for the gluon helicity distribution in the proton, Δg, along with the traditional Δg > 0 ... 
An adaptive multiresolution interior penalty discontinuous Galerkin Method for wave equations in second order form
(Springer, 20201004)In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) discontinuous Galerkin (DG) methods for simulating scalar wave equations in second order form in space. The two key ingredients ... 
An adaptive multiresolution ultraweak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer, 20210125)This paper develops a highorder adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving ... 
Adjusting neutrino interaction models and evaluating uncertainties using NOvA near detector data
(EDP Sciences, 20201204)The twodetector design of the NOvA neutrino oscillation experiment, in which two functionally identical detectors are exposed to an intense neutrino beam, aids in canceling leading order effects of crosssection uncertainties. ... 
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 ... 
Advanced forecasting model on land market value based on USA real estate market
(Wichita State University, 20190426)This research presents a time series estimation and prediction methods with the use of classic and advanced forecasting tools. Our discussion about different time series models is supported by giving the experimental ...