Physical Sciences and Mathematics Commons^™

Structural And Functional Studies Of The Plant Lectin Peanut Agglutinin, Eugene J. Zaluzec

Dissertations

No abstract provided.

Binding And Transport Properties Of Lithium In Red Cells From Hypertensive Patients And Normotensive Controls, Ravichandran Ramasamy

Dissertations

No abstract provided.

The Development Of A Personalized Computer Assisted School Psychology (Casp) System, Patricia Lou Steinert

Dissertations

The purpose of this project was to develop a model computer system to assist school psychologists in managing and manipulating data accumulated in the course of accomplishing their professional responsibilities. School psychologists have traditionally generated large amounts of data, but rarely have they looked across these data to obtain information and/or feedback about their own functioning relative to their professional role. The system described is intended as a model from which an individual psychologist might construct a system to meet individual needs. Data across students were accumulated in four broad areas: (1) personal effectiveness/accountability, (2) diagnosis, (3) local test norms, …

Synthesis Of N And C Nucleosides Via Cycloaddition Reactions A New Approach To An Old Problem, Glenn L. Heise

Dissertations

No abstract provided.

Effect Of Computer Graphics Use On Student Understanding Of Calculus Concepts, Charlene E. Beckmann

Dissertations

Student understanding of selected calculus concepts as developed through use of a Cartesian coordinate graphical representation system were investigated. Subjects (N = 163) enrolled in first-semester calculus sections at Western Michigan University participated in one of four treatment conditions: Graphics (G), exposure to a computer-graphically-developed conceptual course; Graphics Plus (G+), exposure to the same course as G subjects plus provision of computer graphics software and related supplemental assignments; Standard 1 (S1), exposure to a graphically-developed, conceptual course; and Standard 2 (S2), exposure to a traditional skill-oriented course.

Two investigations were undertaken. In Investigation 1, comparisons were made between G and …

Generalized Distance In Graphs, Garry L. Johns

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No abstract provided.

Graph And Directed Graph Augmentation Problems, Zhuguo Mo

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No abstract provided.

Regioselectivity In The Cyclization Of Delta, Epsilon-Epoxy Esters, William F. Prout

Dissertations

No abstract provided.

Investigation Of The Synthesis And Polymerization Behavior Of Vinyl Benzoate, Selim Mehmet Erhan

Dissertations

The goal of this study is to present a method that gives higher conversions and molecular weights for the polymerization of vinyl benzoate than obtained in previous investigations.

Polyvinyl benzoate has benzene rings attached to the backbone chain, therefore is hard and rigid. This is a characteristic which has a large application area. However previous studies in polymerizing vinyl benzoate with bulk and solution polymerizations reported low yields and troublesome crosslinking, which has limited its application. Emulsion polymerization method has the advantage of giving high polymerization rates together with high molecular weights, and therefore was chosen as the method for …

Effect Of Polymerization Conversion On The Experimental Determination Of Monomer Reactivity Ratios In Copolymerization, Sevim Zeynep Erhan

Dissertations

In this study the comparison of the methods used to calculate monomer reactivity ratios from experimental copolymer composition data is targeted.

For this purpose, nine samples of each of nine different concentrations of styrene-methyl methacrylate monomer mixtures were prepared. These mixtures were then polymerized for different times ranging from one to nine hours and the percent conversion to copolymer was determined.

The compositions of these copolymers were determined by their refractive index increments measured in two different solvents. Ultraviolet absorption spectroscopy was also studied as a possible method to find copolymer compositions. Though this method has been used previously, UV …

Robust Rank Analysis For Multivariate Linear Models, James Buddy Davis

Dissertations

Three robust rank procedures are considered to test the multivariate linear hypothesis HBK = 0. In the least squares setting, the Lawley-Hotelling trace criterion provides a UMP when the covariance structure is known. Our work reflects the theoretical structure of the Lawley-Hotelling test with robust rank analogues.

The Lawley-Hotelling test has an asymptotic chi-square distribution when the covariance structure is estimated. The trace criterion can be written in three algebraically equivalent forms: a quadratic test based on full model estimates, a quadratic test based on reduced model residuals and a test based on the drop in the least squares dispersion …

Molecular Properties Of Cetiedil And Its Interactions With Human Erythrocytes, Chakravarthy Narasimhan

Dissertations

No abstract provided.

The Design And Analysis Of Drug Combination Experiments, Thomas J. Vidmar

Dissertations

Past literature concerning drug combination studies is reviewed. This literature has both biological and statistical origins. The justification of the logit transformation for dichotomous responses in a linear models framework is made by observing its similarities to models proposed by others. Using the logistic linear model, optimal experimental designs are derived. Methods for obtaining parameter estimates are discussed as are diagnostic techniques for logistic regression. Two new robust techniques for logistic regression are proposed and compared to a robust technique suggested in the literature via Monte Carlo simulation. Finally, estimation of the median effective dose (ED50) and the resulting confidence …

Design And Analysis Of Efficient Algorithms To Solve The Maximum Concurrent Flow Problem, Farhad Shahrokhi

Dissertations

The maximum concurrent flow (MCFP) is a generalized commodity flow problem, where every pair of entities can send and receive flow Ma85 , BM86 , MS86 . We develop efficient labeling algorithms to solve the MCFP. We explore the combinatorial structure of the MCFP and show that the problem of associating costs (distances) to the edges so as to maximize the minimum cost of routing the concurrent flow is the dual of the MCFP. This duality covers max-flow min-cut theorem as a special case. Applications in packet switched networks At81 and cluster analysis Ma86 are discussed.

Jacobi Moments In Applied Mathematics With Computer Applications, John A. Kapenga

Dissertations

This work provides solid asymptotic representations, sharp error bounds and stable recurrence methods (both three term and two dimensional) for the Jacobi moments. These moments are currently used in several areas of numerical analysis (numerical integration, integral equations and boundary value problems).

A powerful representation theorem, due to H. Gingold, which uses the Jacobi moments is extended and analyzed. Applications of this theorem to multi-turning point problems and several other areas are given.

For a number of important problems in mathematical physics it is not possible to prove that the currently employed methods of solution converge, or are valid in …

Generalized Connectivity In Graphs, Ortrud R. Oellermann

Dissertations

The connectivity of a graph G is the minimum number of vertices in G whose deletion produces a disconnected or trivial graph, while the edge-connectivity of G is the minimum number of edges having this property. In this dissertation several generalizations and variations of these two parameters are introduced and studied.

Chapter I is an overview to the history of connectivity and provides a background for the chapters that follow. In Chapter II major n-connected subgraphs are introduced. Through this concept, the connectivities (of subgraphs) that are most representative in a given graph are studied.

Chapter III is devoted to …

The Effects Of Acid Precipitation On Two Lakes In Southwestern Michigan, Fardin Olyaei

Dissertations

The purpose of this study was to investigate the extent to which acid precipitation contributes acidity and heavy metals to lake environments. Asylum and Bonnie Castle Lakes, both located in the western portion of Kalamazoo County, served as the study sites. Precipitation samples were also taken at a site close to both lakes. Using the Hach Colorimeter, a preliminary study was undertaken to determine concentrations of the major cations (H('+), NH(,4)('+), K('+) and Ca('2+)), and major anions (NO(,3)('-), SO(,4)('2-), and PO(,4)('3-)). The main study dealt with the metal concentrations (Mn, Fe, Cu, Zn, and Pb) in rain/snow water, lakewaters, sediment, …

On Common Subgraphs, Hung Bin Zou

Dissertations

A greatest common (induced) subgraph of graphs G(,1) and G(,2) of equal size is a (an induced) common subgraph (without isolated vertices) of G(,1) and G(,2) having maximum size. For a given graph L, a graph G is locally L if the induced subgraph of the neighborhood of each vertex of G is isomorphic to L (L is called a common link). Several topics concerning these concepts are investigated in this dissertation. An historical background to these topics is given in Chapter I.

Chapter II is devoted to the topic on highly connected unique greatest common subgraphs of graphs. We …

On The Genus Of A Block Design, Joan Marie Rahn

Dissertations

The genus of a design (BIBD or PBIBD) is defined to be the genus of its corresponding hypergraph (objects as vertices, blocks as edges); that is, the genus of the bipartite graph associated with the hypergraph in a natural way. The Euler formula is used to establish a lower bound (gamma) for the genus of a block design. An imbedding of the design of the surface of genus (gamma) is then described by a voltage hypergraph or voltage graph. Use of the lower bound formula leads to a characterization of planar BIBDs. A connection between a block design derived from …

Naphthalene-2,3-Dialdehyde: A Synthon To 7,9-Polymethylene-8h-Cyclohepta[B]Naphthalene-8-One And A Study Of Their Aromaticity, Edward O. Crapps

Dissertations

This report describes the synthesis of naphthalene-2,3-dialdehyde, and an analytical method for determining its purity by thin layer chromatography. Subsequently, the dialdehyde was condensed with various cyclic ketones to generate a series of polymethylene bridged naphthotropones. It was found that planarity and aromaticity increase with the size of the methylene bridge, although, the bridge must contain six or more methylene groups for the latter to be true. The claim for aromaticity is supported by NMR and IR data, which indicates the positive charge for a perchlorate cation salt is delocalized over the naphthalene and tropone ring system. Furthermore, from the …

The Chromatic And Cochromatic Number Of A Graph, John Gordon Gimbel

Dissertations

Clearly, there are many ways that one can partition the vertex sets of graphs. In the first chapter of this work I examine the problem of determining, for a given graph, the minimum order of a vertex partition having specified properties. In the remaining chapters I concentrate on partitions of two types--those in which each subset induces an empty graph and those in which each subset induces an empty or a complete graph.

The chromatic number of a graph G is the minimum number of subsets into which V(G) can be partitioned so that each subset induces an empty graph. …

The Relationship Of Self-Concept, Sex, Age, Major, Anxiety, Mathematics Background, And Mathematics Ability To The Level Of Mathematics And Statistical Anxiety Among College Juniors, David John Maysick

Dissertations

Problem. One's choice of career has significant effect upon one's future life in terms of earning potential and social interaction. Mathematics/statistical anxiety and the mathematics avoidance often accompanying such anxiety, can influence career choice, causing otherwise talented people to limit their future. The purpose of this study was to determine from selected variables--particularly self-concept--which, if any, were related to the problem of mathematics and/or statistical anxiety.

Method. The statistical sample used was 350 juniors. Stratification was by degree of mathematics content in subject's major field of study. For the study, subjects had to be in the same major category as …

On Isomorphic Decompositions Of Graphs, Sergio Ruiz

Dissertations

A decomposition of a nonempty graph G is a collection of subgraphs G(,1), G(,2), ... , G(,k) of G such that their edge sets form a partition of the edge set of G. If G(,i) is isomorphic to a fixed graph H for each i, then G has an isomorphic decomposition into the graph H or, equivalently, G is H-decomposable. Several topics, each concerning isomorphic decompositions, are investigated in this dissertation.

An historical introduction to the subject of isomorphic decompositions is given in Chapter I. We also present there some new information on finding regular graphs that are H-decomposable for …

Parameter Optimization Using A Hierarchical System Of Learning Automata, Brian T. Mitchell

Dissertations

Many problems in adaptive control, pattern recognition, filtering, identification, and artificial intelligence can be viewed as parameter optimization problems. The learning automation approach to these problems has two distinct advantages over the classic hill climbing methods: (1) the parameter space need not be metric and (2) a global rather than local optimum can be found. Unfortunately, these advantages do not come without corresponding difficulties, namely the problem of high dimensionality. A hierarchical system of learning automata has been used to reduce this problem somewhat, but inefficiencies still remain since the current hierarchical system was balanced and static hierarchical learning automaton …

Kinetics And Mechanism Of Acylation Of Amines With 2-Naphthoyl Azide, Abraham L. Faburada

Dissertations

The reaction of 2-naphthoyl azide with primary and secondary amines in protic and aprotic solvents follows second-order kinetics. The effect of increasing solvent polarity is shown to increase the rate of reaction. For amines of similar basicity, the rate of reaction decreases with increasing steric hindrance on the amine. The changes in free energy and entropy of activation for n-butylamine and cyclohexylamine are in accord with steric requirements of amines. For amines of similar steric hindrance, the rate of reaction increases with increasing amine basicity. The mechanism of addition-elimination involving the formation of a tetrahedral intermediate is consistent with the …

Kinetics Of Ternary Complex Formation Reactions Of The Nickel(Ii) Complexes Of Ethylenediaminediacetate And Triethylenetetramine With Bidentate Donors, Lawrence H. Kolopajlo

Dissertations

The stopped-flow technique was used to measure rate constants for ternary complex formation involving both NiEDDA and Ni(trien)('2+), and bidentate donors. The reactions of both NiEDDA and Ni(trien)('2+) with bipy, phen, en, and sar were studied. In addition the reaction of NiEDDA and gly was studied. The reactions were of the first-order with respect to either nickel complex, and with respect to enH('+), bipy, and phen. The reactions involving phen and bipy were independent of pH and were reversible. The formation rate constants for the systems containing diamine reactants are as follows:

(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI)

For …

Determination Of Organophosphorus Compounds By Hplc With Post-Column Photochemical Degradation Followed By The Formation Of Reduced Heieropolymolybdate, Stephen R. Priebe

Dissertations

A novel method for the determination of organophosphorus (OP) compounds by HPLC with post-column photochemical and chemical derivatization reactions has been developed. The OP compounds eluted from the column were photochemically degraded to orthophosphate by the use of a 450 W xenon lamp in conjunction with an auxiliary photodegradation reagent. The photodegradation reaction was studied extensively by means of batch irradiations with triethylphosphate as a model compound. The effects of the initial concentrations of triethylphosphate and ammonium peroxydisulfate, and of varying the pH of the reaction medium were determined. A survey of potential interferences was performed. Copper(II) ion was found …

Random Factors And Isofactors In Graphs And Digraphs, John Frederick Fink

Dissertations

A factor is a spanning sub(di)graph of a (di)graph. Factors that are generated by an algorithm that incorporates an element of randomness are often called random factors. An isofactor is essentially a factor G that is either empty or for which there exists a connected regular (di)graph H having a nontrivial G-factorization. Several topics, each concerning random factors or isofactors, are investigated in this dissertation. An historical introduction to these topics is given in Chapter I.

In Chapter II we define an antipath and say that a digraph is randomly antitraceable if every nonspanning antipath can be extended (at its …

Micellarly Catalyzed Reaction Of Substituted Benzohydroxamic Acids, Nop Utrapiromsuk

Dissertations

The rate constants for hydrolysis of ten derivatives of benzohydroxamic acid, namely, p-H, p-CH(,3), m-CH(,3), p-CH(,3)CH(,2), p-OCH(,3), p-NO(,2), p-Cl, and m-Cl, in 0.160 and 0.158 M HCl at 67.9-68.2(DEGREES)C without and with sodium 1-dodecanesulfonate were determined. There is a good linear correlation between log k(,w) and the Hammett substituent constants, (sigma), for all para and meta derivatives where k(,w) is the rate constant in the bulk aqeous phase. In the presence of micelles all the compounds, except the meta-nitro derivative, followed the standard pseudophase model of micellar catalysis. However, correlations of log k(,m) or log K/N, where k(,m) is the …

Ground-Water Flow Along The Total Shoreline Of Austin Lake And Its Environmental Contribution To Pollution Of The Lake, William Thomas Williams

Dissertations

The vertical direction of ground-water flow in Austin Lake was determined by placing minipiezometers along the entire shoreline at fifty randomly selected sites. Ground-water samples were taken at each site and the specific conductivity of the water samples was determined along with the chloride and phosphate content. The data were analyzed to determine if there were any relationships among water movement, chemical content, and the presence or absence of an onshore septic tank. The minipiezometer data show that the primary direction of water movement through the sediment-water interface is downward but may become reversed at localized regions as conditions vary. …