Digital Commons Network^™

Genetic Epidemilogical Analysis Of Complex Disorders., Swapan Nath Dr.

Doctoral Theses

The present study can be broadly classified in the area of genetic epidemiology, which is conventionally defined as a science that deals with the aetiology, distribution, and control of disease in groups of relatives and with inherited causes of disease in populations (Morton 1982, 1993). One of the major goals of genetic epidemiology is the study of the nature and extent of clustering of a disease in families and in defined ethnic groups. The study of a disorder within the genetic epidemiological framework is performed by testing :(1) whether the disorder clusters in families?(2) whether observed familiarity is caused by …

On Texture Image Analysis Using Fractal Geometry Based Features., Nirupam Sarkar Dr.

Doctoral Theses

Visual textureTexture is a property to characterize a region of a scene. A set of natural texture images is shown in Fig. 1.1. A specific texture may be generated due to certain organization of several objects in a region, or due to the reflectance pattern caused by color variation or unevenness of an object surface. Since texture provides a lot of information of a region, texture analysis and synthesis are important components of digital image processing.It is difficult to provide a formal definition of texture although we perceive and recognize texture rather easily. According to Sklansky [152) "A region in …

Neuro-Fuzzy Models For Classification And Rule Generation., Sushmita Mitra Dr.

Doctoral Theses

Machine recognition [1, 2] of patterns can be viewed as a two-fold task, consisting of learning the invariant and common properties of a set of samples characterizing a class, and of deciding a new sample as a possible member of the class by noting that it has properties common to those of the set of samples. In other words, pattern recognition by computers can be described as a transformation from the measurenment space M to the feature space F and finally to the decision space D (1), i.e., M ⟶F⟶D.Here, the mapping 6 : F⟶D is the decision function and …

Connectionist Models For Certain Tasks Related To Object Recognition., Jayanta Basak Dr.

Doctoral Theses

Recognition of objects in an image, according to Suetens et al. [1), relers to the task of finding and labeling parts of a two-dimensional image of a scene that correspond to the real objects in the scene. Object recognition is necessary in a variety of domains like robot navigation, aerial imagery analysis, industrial inspection and so on. Normally, different strategies for object recognition (1-(5] involve establishing some model for each object, i.e., some general description of each object, and then labeling different parts of the scene according to the knowledge about the models.Object models can have two-dimensional (2D) or three-climensional …

Study Of The Equilibria Of Parabolic Differential Equations With Interfaces Intersecting The Boundary, Michal Kowalczyk

Doctoral Dissertations

Existence of steady state solutions for the Allen-Cahn and Cahn-Hilliard equations in two dimensional domains is discussed. We are in particular interested in establishing existence of single layered equilibria with the property that their transition layer intersects the boundary. In the case of the Allen-Cahn equation we consider bone-like domains and seek solutions intersecting the flat part of the boundary. We establish conditions for the domain which ensure existence of such equilibria. Their stability is also analyzed. For the Cahn-Hilliard equations we show that there exist equilibria near every point of a local maximum of the curvature of the boundary.

On Detection And Use Of Reflectional Symmetry In Computer Vision., Dipti Prasad Mukherjee Dr.

Doctoral Theses

The problems of detection and use of reflectional symmetry in the images of planar shape contours are studied. Symmetry, in general, provides important shape representation cues, some of which we utilise here, to acquire viewpoint information and, towards model based shape matching. We concentrate on local reflectional symmetries of emoothly curved planar objecta, though the methoda are equally applicable to polygonal objects; even this could be extended to certain three-dimensional shapes and for other object relations such as rotational symmetry.Under the affine or perspective approximation to image projection, properties of geometrie invariance are used to find (reflectional) symmetric contour pairs. …

Studies Of Mixing Processes In Gases And Effects On Combustion And Stability, Frank Paul Kozusko Jr.

Mathematics & Statistics Theses & Dissertations

Three physical models of laminar mixing of initially separated gases are studied. Two models study the effects of the mixing dynamics on the chemical reactions between the gases. The third model studies the structure and stability of a laminar mixing layer in a binary gas. The three models are:

1. Two ideal and incompressible gases representing fuel and oxidizer are initially at rest and separated across an infinite linear interface in a two dimensional system. Combustion, expected as the gases mix, will lead to a rapid rise in temperature in a localized area, i.e. ignition. The mixing of the gases …

Efficient Dominating Sets In Oriented Trees, Quan Yue

Dissertations

No abstract provided.

Transitions In Masculinity And Hemingway's Developed "Code", Daniel Polk

Honors Theses

The "Hemingway Code" is much more than two words that fit nicely together for a scholar's usage; the words signify a much deeper championing of masculinity, almost a haunting presence. For Ernest Hemingway living life every day, every moment with its fullest masculine fervor, became an obsession, a never-ending quest to be at one with the attitude of never complaining, never crying out, panicking, thinking too much, or regretting. To live a manly life in a series of tactical victories, performed with steadfast ritualistic mannerisms, is to embody masculinity, and therefore the "Hemingway Code."

Parameter Estimation By Conditional Coding, Taylor Duersch

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Conditional coding is an application of Markov Chain Monte Carlo methods for sampling from conditional distributions. It is applied here to the problem of estimating the parameters of a computer-simulated pattern of fractures in an isomorphic, homotropic material under plane strain. We investigate the theory and procedures of conditional coding and show the viability of the technique by its application.

On LP Solutions Of Second Order Linear Differential Equations, James C. Smith

Doctoral Dissertations

In this dissertation we study the L_p solutions of second order linear differential equations. The question as to when the equation -(q_o(x)y'(x))' + q₁(x)y(x) = f(x), α ≤ x < ∞, admits L_p solutions y(x) for arbitrary f(x) in L_p is investigated. We show the condition Re(q₁(x)) ≥ 1 or the conditions Re(q₁(x)) ≥ 0 and Im(q₁(x)) ≥ 1 are sufficient for a L_p solution y(x) to exist.

Functions that bound a solution of the homogeneous equation …

Thermal Ignition Analysis In The Laminar Boundary Layer Behind A Propagating Shock Front, Mushtaq Ahmed Khan

Mathematics & Statistics Theses & Dissertations

Asymptotic analysis in the limit of large activation energy is performed to investigate the ignition of a reactive gas in the laminar boundary layer behind a propagating shock front. The study is based on a one-step, irreversible Arrhenius reaction of a premixed gas; therefore, the ignition phenomenon is thermally induced. The boundary layer consists of a thin, diffusive, reaction region at the point where the temperature is maximum and diffusive-convective non-reacting regions adjacent to the reacting region. Both adiabatic and isothermal boundary conditions are examined. For the adiabatic wall, the reaction zone is near the insulated boundary. The reaction zone …

Elimination Of Edge Effects Using Spline Wavelets Which Maintain A Uniform Two-Scale Relation, Sang Kyu Yang

Mathematics & Statistics Theses & Dissertations

Use of the compactly supported B-spline wavelet of Chui and Wang is hindered by loss of accuracy on decomposition, through truncation of weight sequences which are countably infinite. Adaptations to finite intervals often encounter significant problems with error near boundaries, called edge effects. For multiresolution analysis on a finite interval which employ the piecewise linear B-wavelet the present research provides a frontal approach to decomposition which avoids truncation of weight sequences, experiences no error at boundaries, and which exhibits a factor of three increase in computational efficiency, over the usual approach characterized by truncation of infinite weight sequences. As a …

Essays In Dynamic Games., Saikat Datta Dr.

Doctoral Theses

This thesis contains four essays which broadly come under the area of Dynamic Games. All the essays involve developments or applications of non-cooperative equilibrium concepts to games played over infinite horizons. The two essays in Chapter 2 and Chapter 3 involve the concept of renegotiation proof equilibriain repeated games. The essay in Chapter 4 discusses how a social norm of slow building of trust in bilateral relationships can be understood as a social equi- librium even in the absence of asymmetric information problems. Chapter 5, which represents joint work with Prabal Raychaudhuri, applies non-cooperative bargaining theory to a context where …

Some Contributions To Linear Complementarity Problem., G. S. R. Murthy Dr.

Doctoral Theses

This dissertation deals with a number of problems related to linear comple- mentarity problem (LCP). Given a real square matrix A of order n and a real n-vector q, the LCP is to find a nonnegative n-vector z such that Az + q 2 0 and zt(Az + 9) = 0. There is vast literature on LCP, evolved during the last four decades. LCP plays a crucial role in the study of mathematical program- ming from the view point of algorithms as well as applications. The inherent nature of the problem has led the researchers to introduce and study a …

Some Problems In Equivariant Topology., Aniruddha C. Naolekar Dr.

Doctoral Theses

This thesis has grown out of efforts to understand in an equivariant set up two old problems which were revived and developed extensively by Quillen, and also by others. The first problem concerns a de Rham type theorem over the field of rationals Q for a G-simplicial set where G is a finite group. The second problem deals with equivariant plus construction, classification of equivariant acyclic maps, and equivariant G-homotopy type of a G-space where G is a compact Lie group. More specifically, the content of the thesis is governed by the following two theorems, and our main objective is …

Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.

Doctoral Theses

This thosin in devoted to the study of aome probloms related to the inclusion of a pair of (usually hyperfinite) Ili factors R. Specifically, the following and the relation between them are studied:(a) pairs of graphs which can occur as principal grapha for NC M;(b) construction of commuting squares starting with a pair of finite graphs;(c) computation of the higher relative commutants of sublactorn con- structed from specific commuting squares.The first chapter is introductory in nature and is included for the sake of comploteness and convenience of reference. It contains a rather perfunctory description of the basic construction for a …

Asymptotic Properties Of Posterior Distributions And Study Of Some Nonregular Cases., Subhashis Ghosal Dr.

Doctoral Theses

The asymptotic approach to statistical estimation is frequently adopted be cause of ita general applicability and relative simplicity. The modern study of asymptotic theory, initiated in Le Cam (1953), has undergone a vigorous devel- opment through the classic works of Le Cam, Hájek, Bahadur, Ibragimov and Has'minskii (Khas'minskii), Bickel, Pfanzagl, Millar and many other scholars; see Le Cam (1986), Le Cam and Yang (1990), Ibragimov and Has'minskii (1981) and the review article by Ghosh (1985) for an account of this development.Most of the results in asymptotic theory of estimation are obtained under the classical Cramér-Rao type regularity conditions or their …

Polygonal Approximation And Scale-Space Analysis Of Closed Digital Curves., Bimal Kumar Roy Dr.

Doctoral Theses

This thesis presents a series of algorithms for polygonal approximation of closed digital curves followed by scale-space analysis with its application to corner detection.Approximation of a closed curve by plece straight line segments is known as polygonal approximation. Any curve can be approximated by a polygon with any desired degree of accuracy.Polygonal approximation is useful in reducing the number of points required to represent a curve and to smooth data. Such representation facilitates extraction of numerical features for description and classification of curves. Basically there are two approaches to the problem. One is to subdivide the points into groups each …

On Nonparametric Families Of Life Distributions: Some Issues And Applications., Murari Mitra Dr.

Doctoral Theses

In reliability theury, one in primarily concerned with the study of the lifetime of a unit. The unit may be a mechanical device or a component of such a device; it may also be a living organism. By lifetime, we usually mean the duration for which the unit under study continues to perform cartain specific functions before it passes on to what is popularly known as the 'failed state'. More generally, however, lifetime can be, and often is, interpreted as the time to occurrence of a certain event such as the elapsed time before a broken down machine starts functioning …

Rapid Rural Appraisal Of Household Adaptations To The Coastal Zone Of Ecuador, Jennifer A. Pereira

Theses and Major Papers

It has become clear to those interested in development that the household is an integral institution linking the individual to the society and the environment. Understanding the functioning of this institution will facilitate improvements in planning, evaluation, and output of development projects. Development projects suffer from a lack of efficient research methods for collecting socioeconomic information regarding the household. It has been proposed that Rapid Rural Appraisal (RRA), a method of field work that is timely, flexible, and places an emphasis on local participation, may be an appropriate method for collecting these types of data. RRA was originally developed for …

Monte Carlo Methods For Confidence Bands In Nonlinear Regression, Shantonu Mazumdar

UNF Graduate Theses and Dissertations

Confidence Bands for Nonlinear Regression Functions can be found analytically for a very limited range of functions with a restrictive parameter space. A computer intensive technique, the Monte Carlo Method will be used to develop an algorithm to find confidence bands for any given nonlinear regression functions with a broader parameter space.

The logistic regression function with one independent variable and two parameters will be used to test the validity and efficiency of the algorithm. The confidence bands for this particular function have been solved for analytically by Khorasani and Milliken (1982). Their derivations will be used to test the …

Analysis On A Hyperplane Of The Quaternions, Pamela Jean Whelchel

Theses Digitization Project

No abstract provided.

Describing And Distinguishing Knots, Lisa A. Padgett

Theses Digitization Project

No abstract provided.

Isometries In Three Space And The Seven Solid Crystal Systems, Iris Magee

Theses Digitization Project

No abstract provided.

Multiquadric Interpolation: Surface Fitting In Three-Dimensional Space, Michelle Ruse

Presidential Scholars Theses (1990 – 2006)

Using mathematics to solve a problem does not always yield a perfect or absolute answer but may instead yield an approximate solution. We can try to approximate the solution as precisely as possible by using the mathematical tools and skills that are available to us or we could try to discover new methods which would enable us to find good approximations. It is important that we have precise approximating tools to begin with, so that we may preserve as much accuracy as possible.

We can find such problems in the world around us. For instance, if we try to construct …

Behavior Of The Solutions To A Functional Equation Which Equates A Function's Inverse To Its Reciprocal, Robert Rudolph Anschuetz

Retrospective Theses and Dissertations

This thesis explores the behavior of solutions of the functional equation f-1(x)= 1/f(x) for x ε Dom(f), where f is a real-valued function of a real variable. It is quite common to mistake the notation f^-1, which means the inverse of f with respect to composition with the inverse of f with respect to multiplication, usually denoted by 1/f. This thesis shows that although f^-1 and 1/f are usually different function, they do indeed sometimes represent the same function. This thesis will also provide …

A General Theory Of Geodesics With Applications To Hyperbolic Geometry, Deborah F. Logan

UNF Graduate Theses and Dissertations

In this thesis, the geometry of curved surfaces is studied using the methods of differential geometry. The introduction of manifolds assists in the study of classical two-dimensional surfaces. To study the geometry of a surface a metric, or way to measure, is needed. By changing the metric on a surface, a new geometric surface can be obtained. On any surface, curves called geodesics play the role of "straight lines" in Euclidean space. These curves minimize distance locally but not necessarily globally. The curvature of a surface at each point p affects the behavior of geodesics and the construction of geometric …

Nozzle Flow With Vibrational Nonequilibrium, John Gary Landry

Mathematics & Statistics Theses & Dissertations

Flow of nitrogen gas through a converging-diverging nozzle is simulated. The flow is modeled using the Navier-Stokes equations that have been modified for vibrational nonequilibrium. The energy equation is replaced by two equations. One equation accounts for energy effects due to the translational and rotational degrees of freedom, and the other accounts for the affects due to the vibrational degree of freedom. The energy equations are coupled by a relaxation time which measures the time required for the vibrational energy component to equilibrate with the translational and rotational energy components. An improved relaxation time is used in this thesis. The …

On The Relationship Between A Graph And The Cycle Graph Of Its Complement, Christian P. Lopez

Theses: Doctorates and Masters

From an arbitrary graph G, another graph called the cycle graph of G and denoted by C(G) can be derived. The cycle graph C(G) of G has as its vertices the chordless cycles of G and two vertices in C(G) are adjacent if and only if the corresponding chordless cycles have at least one edge in common.