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On Logistic And Some New Discrimination Rules:Charecterizations,Inference And Application., Supratik Roy Dr.
On Logistic And Some New Discrimination Rules:Charecterizations,Inference And Application., Supratik Roy Dr.
Doctoral Theses
Introduction and Summary Consider the problem of classification of an observation into one of two specified populations. Fisher's classification rale, just as several other rules commonly used in practice, depends only on the ratio of the individual densities fi(x), i = 1,2. This led Cox (1966),/27) to model the "posterior odds" by a simple function. Specifically,Cox's logistic discrimination (LGD) rule is then based on the statistic a + 'ßx. This has the advantage that individual densities f.(x) need not be known and we only need to estimate the parameters a and B.Another advantage, which is claimed , is that the …
Coloring Clique Hypergraphs, Hoifung Poon
Coloring Clique Hypergraphs, Hoifung Poon
Graduate Theses, Dissertations, and Problem Reports
Let G = (V, E) be a simple graph. The clique hypergraph of G, denoted as CH( G), has V as its set of vertices, and the maximal cliques as its hyperedges. Let Sk be a set of k colors. A map c : V Sk is a proper k-coloring for CH(G) if any maximal clique of G with at least two vertices receives at least two distinct colors. Let W ⊂ V, and let s ≥ 1. We say that G is (W, s)-extendible if any assignment on W with at most s colors can be extended to a …
Symmetrically Continuous Functions, Marcin Szyszkowski
Symmetrically Continuous Functions, Marcin Szyszkowski
Graduate Theses, Dissertations, and Problem Reports
This work is devoted entirely to symmetric continuity and consists of five chapters. Chapter 1 is an introduction. Chapter 2, based on the paper [Sz2], is the main part of this work. In this chapter we generalize classic theorems on functions defined on the intervals to functions defined on arbitrary subsets of the real line. Chapter 3 deals with a weaker condition than symmetric continuity---weak symmetric continuity. It is an extended version of my paper [Sz1]. Chapter 4 is based on the paper [CSz]. Here it is shown that symmetrically continuous functions, although being "close" to continuous functions, may not …
Mode Vertices And Mode Graphs., Jobriath Scott Kauffman
Mode Vertices And Mode Graphs., Jobriath Scott Kauffman
Electronic Theses and Dissertations
The eccentricity of a vertex, v, of a connected graph, G, is the distance to a furthest vertex from v. A mode vertex of a connected graph, G, is a vertex whose eccentricity occurs as often in the eccentricity sequence of G as the eccentricity of any other vertex. The mode of a graph, G, is the subgraph induced by the mode vertices of G. A mode graph is a connected graph for which each vertex is a mode vertex. Note that mode graphs are a generalization of self-centered graphs. This paper presents some …
Vertices In Total Dominating Sets., Robert Elmer Dautermann Iii
Vertices In Total Dominating Sets., Robert Elmer Dautermann Iii
Electronic Theses and Dissertations
Fricke, Haynes, Hedetniemi, Hedetniemi, and Laskar introduced the following concept. For a graph G = (V,E), let rho denote a property of interest concerning sets of vertices. A vertex u is rho-good if u is contained in a {minimum, maximum} rho-set in G and rho-bad if u is not contained in a rho-set. Let g denote the number of rho-good vertices and b denote the number of rho-bad vertices. A graph G is called rho-excellent if every vertex in V is rho-good, rho-commendable if g > b > 0, rho-fair if g = b, and …
Feature Evaluation, Classification And Rule Generation Using Fuzzy Sets And Neural Networks., Rajat Kumar De Dr.
Feature Evaluation, Classification And Rule Generation Using Fuzzy Sets And Neural Networks., Rajat Kumar De Dr.
Doctoral Theses
Pattern recognition and machine learning form a major area of research and develop- ment activity that encompasses the processing of pictorial and other non-numerical information obtained from the interaction between science, technology and society. A motivation for the spurt of activity in this field is the need for people to com- municate with the computing machines in their natural mode of communication. Another important motivation is that the scientists are also concerned with the idea of designing and making intelligent machines that can carry out certain tasks that we human beings do. The most salient outcome of these is the …
Studies On Finite Linear Cellular Automata., Palash Sarkar Dr.
Studies On Finite Linear Cellular Automata., Palash Sarkar Dr.
Doctoral Theses
Cellular Automata were originally proposed by John von Neumann as formal models of self reproducing organisms. The structure studied was mostly an ane and two dimensional infinite grida, though higher dimensions were also considered. Computation universality and other computation theoretic questions were considered important. See Burks [24] for a collection of essays on important problems on cellular automata during this period. Later physicists and biologists began to study cellular automsta for the purpose of modelling in their respective domains. In the present era, cellalar automata is being atudied from many widely different angles, and the relationship of these structurea to …
Similarity Based Approximate Reasoning., Swapan Raha Dr.
Similarity Based Approximate Reasoning., Swapan Raha Dr.
Doctoral Theses
Many years of research in Artificial Intelligence, Cognitive Science and allied area reveal that the cognitive process of human reasoning deals with imprecise premises. As cognitive process of human reasoning is mainly concerned with the individual's perception, it is liable to be imprecise in nature. Precise traditional two-valued logic and/or multi-valued logics are not effective in handling such reasoning processes. This motivated Zadeh (109) to investigate how these impreciseness in human rea- soning could be modeled through some computable entities. In this regard, Zadeh has shown how such imprecise linguistic terms could be expressed through fuzzy sets over universes of …
On Fractal Based Representation Of Image With Application To Image Processing., Suman Kumar Mitra Dr.
On Fractal Based Representation Of Image With Application To Image Processing., Suman Kumar Mitra Dr.
Doctoral Theses
The language of an image is universal. Images were the means of communicating infor- mation in ancient days. Even today, although people from different parts of the world speak in different languages, an image conveys almost the same universal meaning to all. With the rapid development of modern computer technologies and with the increasing attempt in getting information at ones finger tips, the importance of communication of information using images can not be ignored.Images are stored in computers in the form of a collection of bits representing pixels (picture elements). Pictures are to be digitized to store them in computers. …
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Doctoral Theses
The central theme of the present thesia is quantum stochastic dilation af semigroupe of completely panitive mapa on operator algebran. It is the sim of all mathemati- cal, or even all scientific theorics, to understand a given class of objects through a tanonical and simpler subclass of it. For example, abstract C"-algebras are studied through their conerete realisation as elgebra of operators, contractions on a Hilbert space by unitaries. Hilbert modules by the factorissble ones, to mention anly a few. In most af these caes, a general object of the relavant class is sociated with a canonical candidate of the …
Some Contribution To Reliability Analysis Of A Consecutive-K-Out-Of N: F System., Mohammad Khanjari Sadegh Dr.
Some Contribution To Reliability Analysis Of A Consecutive-K-Out-Of N: F System., Mohammad Khanjari Sadegh Dr.
Doctoral Theses
Present day technology has been characterized by development of complex systems or equipments containing a large number of subaystems and com- ponents. Reliability, as a buman attribute, has been praised for a very long time. For technical systems, however, the reliability concept has not been applied for more than about 50 years. Reliability is the concern of all scien- tists and engineers engaged in developing a system, from design, through the manufacturing, to its ultimate use. Reliability technology has a potentially wide range of application areas like safety or risk analysis, environmental protection, quality, optimization, maintenance, engineering design, etc.For a …
Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr.
Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr.
Doctoral Theses
The uncertainty principles of Harmonic Analysis say that: a nonzero func- tion and its Fourier transform cannot both be sharply concen- trated. After the initial work on this phenomenon in 1920s, the last two decades witnessed a spurt of activity in this direction (we refer the reader to a very readable survey [FS]). One may notice two broad phases in this activity, the first concentrating on R where the notion of concentration is given different formulations to see whether the phenomenon still holds. In the later phase R is replaced by other commutative or noncommutative groups, or more generally by …
Generalised Bootstrap Techniques., Singdhansu Bhusan Chatterjee Dr.
Generalised Bootstrap Techniques., Singdhansu Bhusan Chatterjee Dr.
Doctoral Theses
A typical problem in statistics is as follows: there is some observable data Xn = (X1,..., Xn), and a parameter of interest θ which is related in such a way to the distribution of Xn that meaningful conclusions about θ can be drawn based on Xn. Sometimes data Xn is observed keeping the objective parameter θ in mind, at other times the parameter appears while trying to model the observed data.Once the data is observed and the parameter fixed, the questions that have to be addressed are as follows:(I) How to estimate θ from the data Xn?(II) Given an estimator …
Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr.
Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr.
Doctoral Theses
Laplacian matrices Let G be a connected simple graph with vertex set V = {1,2,.,n), edge set E and let each edge be associated with a positive number, the weight of the edge. The above graph is called a weighted graph. An unweighted graph is just a weighted graph with each of the edges bearing weight 1. All the graphs considered are weighted and simple, unless specified otherwise; all the matrices considered are real. The adjacency matrix A(G) related to this graph is defined as A(G) = (aij), whereaij, if (i, j] € E and the weight of the edge …
Educational Math Games For First Grade, Shelly Christine Harberts
Educational Math Games For First Grade, Shelly Christine Harberts
All Graduate Projects
The purpose of the project is to create appropriate educational math games for first grade. Thirty-six new games were generated to replace the math games used in the Everyday Math curriculum used in my classroom. The games were taught to twenty first graders. The results showed that using mathematical games relating to the concepts being taught, helped students better understand and master the concepts.
Linear Codes Defined From Higher -Dimensional Varieties., Gary Lynn Salazar
Linear Codes Defined From Higher -Dimensional Varieties., Gary Lynn Salazar
LSU Historical Dissertations and Theses
We establish an algebraic foundation to complement the improved geometric codes of Feng and Rao. Viewing linear codes as affine variety codes, we utilize the Feng-Rao minimum distance bound to construct codes with relatively large dimensions. We examine higher-dimensional affine hypersurfaces with properties similar to those of Hermitian curves. We determine a Grobner basis for the ideal of the variety of rational points on certain affine Fermat varieties. This result is applied to determine parameters of codes defined from Fermat surfaces.
Homflypt Skein Modules., Jianyuan Zhong
Homflypt Skein Modules., Jianyuan Zhong
LSU Historical Dissertations and Theses
Let k be a subring of the field of rational functions in x, v, s which contains x+/-1, v+/-1, s+/-1. If M is an oriented 3-manifold, let S(M) denote the Homflypt skein module of M over k. This is the free k-module generated by isotopy classes of framed oriented links in M quotiented by the Homflypt skein relations: (1) x --1L+ -- xL -- = (s -- s--1 )L0; (2) L with a positive twist = (xv--1)L; (3) L ⊔ O = u-u-1 s-s-1L where O is the unknot. We give two bases for the relative Homflypt skein module of …
Sociomathematical Norms Of Elementary School Classrooms: Crossnational Perspectives On The *Reform Of Mathematics Teaching., Jeongsuk Pang
Sociomathematical Norms Of Elementary School Classrooms: Crossnational Perspectives On The *Reform Of Mathematics Teaching., Jeongsuk Pang
LSU Historical Dissertations and Theses
Mathematics education reform in the United States has marshaled large-scale support for instructional innovation, and enlisted the participation and allegiance of large numbers of mathematics teachers. However, there is concern that many teachers have not grasped the full implications of the reform ideals. This study explored the breakdown that may occur between teachers' adoption of reform objectives and their successful incorporation of reform ideals by comparing and contrasting two reform-oriented classrooms. This study was an exploratory, qualitative, comparative case study using constant comparative analysis. Seven mathematics lessons were video-taped from each class, and intensive interviews conducted with the two teachers. …
Mathematics And Socio -Cultural Behavior: A Case Study Of The Enculturation Of A New Mathematician, Timothy Byron Gutmann
Mathematics And Socio -Cultural Behavior: A Case Study Of The Enculturation Of A New Mathematician, Timothy Byron Gutmann
Doctoral Dissertations
Research has shown that mathematics as we know it is a product of the socio-cultural climate in which it was developed. This research attempts to address the related question of how being involved in mathematics influences the socio-cultural lives of mathematicians. A new Ph.D. mathematician hired in his first faculty position was observed for a period of 13 weeks, most during his first semester. Analysis of this long-term, in depth case study followed ethnographic methods and drew on theories of rites of passage, organizational socialization, self-identity, and evolution. The role of mathematics in the departmental culture and in the newcomer's …
Pre-Service Secondary Mathematics Teachers' Attitudes About The History Of Mathematics, Kelly Marie Sullivan
Pre-Service Secondary Mathematics Teachers' Attitudes About The History Of Mathematics, Kelly Marie Sullivan
UNLV Retrospective Theses & Dissertations
This study was conducted to show that using historical material to teach mathematical content to pre-service secondary mathematics teachers could improve their attitudes about incorporating the history of mathematics into the mathematics classroom. A historical module from the Mathematical Association of America was taught to an undergraduate class of pre-service secondary mathematics teachers. Their attitudes regarding the use of the history of mathematics in the mathematics classroom were then compared to the attitudes of students in another undergraduate class, taught by the same researcher, whose instruction did not incorporate history. Results from t-tests indicate that there was a positive change …
Developing Students' Understanding Of Similar Figures: A Perceptual Approach., Danny Ray Mcnabb
Developing Students' Understanding Of Similar Figures: A Perceptual Approach., Danny Ray Mcnabb
LSU Historical Dissertations and Theses
Children encounter and recognize similar figures in their everyday experiences with such things as basketballs, soccer balls, tennis balls, ping-pong balls; or a candy bar that comes in various sizes of the same shape. Yet their school experience with the mathematics of similarity generally does not build on these perceptual intuitions. Traditional mathematics curricula bypass students' visual intuitions and their quantitative understandings, proceeding directly to set piece problems solved by formal algebraic methods. The result for many students is that the topic of similarity contributes to their evolving view of mathematics as a domain of complex procedural methods divorced from …
Classically Unstable Approximations For Linear Evolution Equations And Applications., Yu Zhuang
Classically Unstable Approximations For Linear Evolution Equations And Applications., Yu Zhuang
LSU Historical Dissertations and Theses
Temporal discretization methods for evolutionary differential equations that factorize the resolvent into a product of easily computable operators have great numerical appeal. For instance, the alternating direction implicit (ADI) method of Peaceman-Rachford for 2-D parabolic problems greatly reduces the simulation time when compared with the Crank-Nicolson scheme. However, just like many other factorized approximation methods that exhibit numerical stability, the ADI method is known to satisfy only the Von Neumann stability condition, a necessary condition that is usually surmised as sufficient in practical cases as pointed out by Lax and Richtmyer. Intensive efforts have been directed to understand the Von …
On Some Optimal Control Problems For The Centroaffine Geometry On The Plane., Angel L. Cruz Delgado
On Some Optimal Control Problems For The Centroaffine Geometry On The Plane., Angel L. Cruz Delgado
LSU Historical Dissertations and Theses
A certain parametrization of substantial planar curves yields a centroaffine arclength s and a centroaffine curvature ks that remain invariant under GL(2, R ) motions. In Chapter 4 we search for those substantial curves with predetermined position and velocity at the initial and terminal points, which minimize the total square curvature 0T k2s 2ds as k varies over all square summable functions on each interval [0, T]. These curves are called centroaffine elastic curves. Thinking of the curvature k as a control, we pose our problem as an optimal control problem over the Lie group GL(2, R ) with fixed …
A Canonical Description Of The Plancherel Measure For A General Two-Step Free Nilpotent Lie Group., Chin-Te Chu
A Canonical Description Of The Plancherel Measure For A General Two-Step Free Nilpotent Lie Group., Chin-Te Chu
LSU Historical Dissertations and Theses
In this work on g=Fn,2 , free 2-step nilpotent Lie algebra on n generators, we use the group of automorphisms to give a basis-free description of the Fourier Inversion Formula, thereby generalizing and strengthening an example discussed by Corwin & Greenleaf. In the Introduction we discuss Example 4.3.14 in Corwin & Greenleaf's book. It demonstrates how different bases of F3,2 lead to different inversion formulas. But the third "more" invariant formula describes Plancherel measure on a support expressed in terms of rotations, dilations, and translations. Actually it is not canonical since it still depends on choices of bases for F3,2 …
The Effect Of Antecedent And Consequent Strategies On Increasing Student Homework Compliance And Academic Achievement., Donna Marie Gilbertson
The Effect Of Antecedent And Consequent Strategies On Increasing Student Homework Compliance And Academic Achievement., Donna Marie Gilbertson
LSU Historical Dissertations and Theses
The primary purpose of this investigation was to evaluate the effects of homework and alternatives to homework on student math completion, accuracy and fluency for low socioeconomic students. To examine possible causes of homework problems as well as the effect of different treatments on math fluency, this study used an idiographic protocol to systematically examine the effects of antecedent and consequential strategies on different types of homework performance problems through several phases. First, a brief experimental analysis was conducted for each student to identify whether poor homework performance was due to a swill deficit or a performance deficit. Next, an …
On Stochastic Integration For White Noise Distribution Theory., Said Kalema Ngobi
On Stochastic Integration For White Noise Distribution Theory., Said Kalema Ngobi
LSU Historical Dissertations and Theses
This thesis consists of two parts, each part concentrating on a different problem from the theory of Stochastic Integration. Chapter 1 contains the introduction explaining the results in this dissertation in general terms. We use the infinite dimensional space S'R endowed with the gaussian measure mu. The Hilbert space ( L2) is defined as (L2) (L2) ≡ L2( S'R , mu) and our results are based on the Gel'fand triple ( S )beta ⊂ (L2) ⊂ S* b . The necessary preliminary background in white noise analysis are well elaborated in Chapter 2. In Chapter 3 we present a generalization …
The Effect Of In-Class Support On Mathematics Performance Of Classified And Non-Classified High School Students, Lorraine Schlarman
The Effect Of In-Class Support On Mathematics Performance Of Classified And Non-Classified High School Students, Lorraine Schlarman
Seton Hall University Dissertations and Theses (ETDs)
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Phantom Classmates : A Case Study Of Talented Mathematics Students Learning Via Telematics, Leanne S. Clarke
Phantom Classmates : A Case Study Of Talented Mathematics Students Learning Via Telematics, Leanne S. Clarke
Theses: Doctorates and Masters
The main advantages and disadvantages of the Telematics environment for talented mathematics students were investigated through a case study. The case study considered the interaction of, and opinions of 11 Year 9 students and the teacher/researcher. Participants were from nine schools in regional Western Australia, and were withdrawn from face-to-face classes to attend mathematics transmissions. Qualitative data were collected through student interviews, an anonymous questionnaire, tape recording of lessons, and teacher field notes. Students all agreed the main disadvantage occurred if timetabling for Telematics transmissions did not align with their local school class times for the same subject. The teacher …