Digital Commons Network^™

Solvability Of Differential Systems Near Singular Points, Leon M. Hall

Doctoral Dissertations

"Functional analysis techniques are used to prove a theorem, analogous to the Harris-Sibuya-Weinberg theorem for ordinary differential equations, which yields as corollaries a number of existence theorems for holomorphic solutions of linear functional differential systems of the form z^Dy'(z) = A(z)y(z) + B(z)y(αz) + C(z)y'(αz) in the neighborhood of the singularity at z = 0"--Abstract, page 2.

Models For Molecular Vibration, Allan Bruce Capps

Masters Theses

“The purpose of the investigation is to determine if a classical model can be used to characterize molecular vibrational and librational (restricted rotation) frequencies. In general, the model treats a molecule as asymmetrical and rigid and simulates the intermolecular forces by springs along the bonds. Molecules constrained to a plane and molecules free to move in three dimensions are analyzed. The frequencies of water molecules are investigated, in particular. The model and analytic components are found to function well. Within the limits set for the model, the water molecule simulation is not successful as the motion becomes anharmonic for energy …

Interpretation Of Imagery Lineations, Logan Creek Area, Southeast Missouri, Gregory Paul Smith

Masters Theses

"Depletion of ore in Missouri's old lead districts and the opening of the state's new lead district adds impetus to understanding and delineating geologic structure in and adjacent to the new lead district. Image and geomorphic analysis, hydrologic data, and subsurface structural contour mapping are used in interpretation of geologic structure in Dent, Shannon, Reynolds, and Carter counties, Missouri. Unlike the time consuming surface geologic mapping, the modes of investigation used in this study enabled the writer to make a larger, regional-scale study with results comparable to those attainable by surface mapping. The area is covered by thick residual soils …

On Interaction In The Two-Way Aov Model Without Replication Including Power Comparisons Of Two Tests For Non-Additivity, Victor John Hegemann

Doctoral Dissertations

"Data analysts have long been concerned with the problem of giving a complete analysis of the two-way crossed classification design with one observation per cell when interaction is present in the data. Conventional tests of hypotheses and statistical inferences are not applicable in this case since an estimate of the error variance is not available. Transformation of the data to additive data has been one solution to this problem; however, interpretation of the physical units of the transformed data is difficult. Recent contributions to the analysis of this design include a test for interaction, a test for testing differences in …

Cross Sections For Photoionization Of The 6²P-Fine Structure Levels Of Cesium, John Daniel Jones

Doctoral Dissertations

"The cross sections for photoionization of excited cesium from the 6²P_3/2- and 6²P_1/2-fine structure levels have been measured using a triple crossed-beam apparatus. Two photon beams, one for excitation and one for ionization, impinge upon an atomic beam and produce ions at the point of intersection. The relative cross section is determined from a knowledge of the ion count rate and the relative photon flux of the ionization light. The results are normalized to available theoretical calculations and compared with recombination measurements in cesium plasmas. The present cross sections are found to decrease with …

Kinetic And Thermodynamic Acidities Of Selected Weakly Acidic Hydrocarbons, Darrell R. Strait

Doctoral Dissertations

"The kinetic and thermodynamic acidities in methanol for bromoform and phenylacetylene have been determined at various temperatures. The thermodynamic acidities of phenylacetylene were obtained through a quench method which involved tritium tagging of the phenylacetylene anions present at equilibrium. With the use of this method, a pK_a of 18.34 for phenylacetylene at 0ºC was obtained. Through the use of these acidities, it was shown that the kinetics for these proton exchange processes are not diffusion controlled.

Isotope effects ( k_H/ k_D) were obtained for chloroform, bromoform and phenylacetylene at three temperatures (0ºC, -10ºC and -20ºC). …

On Integrability And L¹ Convergence Of Certain Cosine Sums, John William Garrett

Doctoral Dissertations

"Rees and Stanojevic altered the standard cosine series and obtained a necessary and sufficient condition for integrability of the altered sum. Here these sums are generalized, and it is shown that such sums converge in L¹-norm"--Abstract, page iv.

A Study Of The Subsurface Stratigraphy Of The Upper Cambrian In Western Missouri, Joseph L. Thacker Jr.

Masters Theses

"Megascopic examination of diamond-drill cores supplemented by insoluble residue data provides a usable means of studying the lithologic characteristic of Upper Cambrian strata in the subsurface of western Missouri.

The stratigraphic relationships within each Cambrian formation and the relationships of each Cambrian unit to formations above and below are discussed.

The relationship of Upper Cambrian strata to the Precambrian surface in western Missouri and easternmost Kansas is illustrated. The Lamotte Sandstone is overlapped by the Reagan Sandstone against Precambrian topographic highs and the Bonneterre and lower Davis are replaced by sandstones similar to the Reagan in southwest Missouri and southeast …

Linear Geometry, Phyllis L. Thomas

Masters Theses

"This paper contains material suitable for a one semester course in linear geometry where the student has had a one semester course in linear algebra previously. It compiles information in the areas of affine sets, affine geometry, convex sets, and a few applications. Also included are Caratheodory's theorem and the well-known theorem by Helly as proved by Radon"--Abstract, page ii.

Methods And Applications Of The Mean-Variance Portfolio Selection Model, John W. Marsh

Doctoral Dissertations

"The Mean-Variance portfolio selection model, or Efficient Market model, is examined in terms of the small investor. The performance is first tested on the small sample space of the thirty Dow Jones Industrials. The results show that it is possible to outperform the market by investing in the minimum-variance, or safest, portfolio. The Critical-Line algorithm as developed by Markowitz and modified by Sharpe is used in this analysis.

Since the Critical-Line algorithm is very time-consuming and does not always converge to a solution, an alternate algorithm is developed. This algorithm, referred to as the “Simplified Algorithm”, is designed to find …

Heavy And Alkali Metal Content Of Surface And Ground Waters In The Joplin Area, Missouri., Edwin Joseph Garrison

Masters Theses

"Over 50 water samples were collected in the fall and spring from springs, streams, lakes and selected water wells within a radius of six miles from the population center of Joplin, Missouri, which lies within the formerly active Tri-State mining district. The samples were analyzed for Ca, Mg, Na, K, Cu, Pb, Zn, Cd, Fe and Hg. Water well samples represent deep (Cambrian-Ordovician) and shallow (Mississippian) rock sources. Statistical evaluations of the data were conducted to help delineate the patterns and causes of metal variations.

The Ca, Mg, Na, K, Zn and Fe concentrations, listed in descending order of abundance, …

Metal Salt Catalyzed Carbenoids Ii, Robert Stephen Mcdaniel Jr.

Doctoral Dissertations

"The interaction of diazomalonic esters with olefins in the presence of homogeneous Cu(II) catalyst species has been examined relating to olefin structure effects and catalyst structure effects using partial rate data as a method of determining the mechanistic aspects of the various reactions.

It has been possible to examine the mechanistic details of cyclopropanation, C-H insertion, and both "dimer" forming reactions.

Cyclopropanation proceeds via a transition state including olefin, copper (II), ligands, and carbene C-H insertion results from hydrogen abstraction prior to collapse of the transition state. "Dimer" is formed by the attack of diazo compound on the carbenoid carbon, …

Double Reflection Dips - From Grating Ruled Semiconductors, Le-Fu Teng

Doctoral Dissertations

"The double dips, previously observed by Fischer, Anderson, et al., which appeared in the reflection spectra of grating surfaces on the Te-doped semiconductors GaAs and InSb around the plasmon and phonon frequencies have been measured in more detail. In the plasmon region, several possible explanations of the phenomenon are discussed. A simple equation checked with the rigorous theory is proposed and is shown to fit the data well. In the phonon region, the extra dip is calculated and identified as being caused by surface phonons"--Abstract, page ii.

Surface Electromagnetic Waves With Damping I. Isotropic Media Ii. Anisotropic Media, Gary Shannon Kovener

Doctoral Dissertations

Paper 1: “Surface electromagnetic wave (SEW) dispersion curves are usually calculated using a simple equation derived from Maxwell’s equations and boundary conditions. When complex dielectric functions are used for the two media, the component of the propagation vector along the surface k_x becomes infinite as the frequency ω approaches the surface polariton frequency ω_s if ω is considered complex and k_x real. On the other hand, if k_x is considered complex and ω real, the dispersion curves bend back toward smaller k_x as ω approaches ω_s. We have previously demonstrated that both types …

Base-Induced Reactions Of P-Nitrobenzyl Compounds, Paul Henry Ruehle

Doctoral Dissertations

"The base-induced reactions of several p-nitrobenzyl compounds were studied. The products varied with changes in the leaving groups. With relatively poor leaving groups (Cl, S⁺(Me)₂), p,p'- dinitrostilbene was produced in good yield. The products of the reaction of p-nitrobenzyl chloride and hydroxide ion in 50% aqueous dioxane were 52.0% p,p'-dinitrostilbene, 43.9% cis- and trans-p,p'-dinitrostilbene oxides, 3.2% p-nitrobenzyl alcohol, and traces of other compounds. With dissolved oxygen, no stilbene was produced; the main product was 88% cis- and trans-p,p'-dinitrostilbene oxides. The addition of small amounts of di-t-butyl nitroxide caused a decrease in both the rate of the reaction and the amount …

Mercury Distribution In A Massive Sulfide Ore Deposit At Balmat, New York, David Ray Jessey

Masters Theses

"Ore samples consisting of diamond drill core and mine samples, collected from several Balmat ore bodies, were analyzed for their mercury content. The average contents in these ore bodies were found, in ppb, to be: Upper Gleason, 829; Middle and Lower Gleason, 504; Loomis, 546; Fowler, 195; No. 1 Zone, 37; Sylvia Lake, 59; No. 2 Mine, 5. If all of the mercury in these pyrite-sphalerite-galena ores occurs in the sphalerite, then the average sphalerite mercury contents, in ppb, are the following: Upper Gleason, 2490; Middle and Lower Gleason, 2516; Loomis, 2701; Fowler, 1376; No.1 Zone, 384; Sylvia Lake, 408; …

Barometric And Pump Test Determination Of The Characteristics Of A Carbonate Aquifer In The Vicinity Of Norman Creek, Phelps County, Missouri., Somchai Wongsawat

Masters Theses

"Carbonate rock aquifers underlie many parts of Missouri. As population and water use increase, these aquifers will increase in importance as sources of water supply. The purpose of this study is to investigate the applicability of barometric calculations and a variety of pump test evaluation equations to a shallow confined doloii mite aquifer. The aquifer is the upper Gasconade Formation of Lower Ordovician age in the vicinity of Norman Creek, south central Phelps County, Missouri.

The response of water level to atmospheric pressure showed that the carbonate aquifer in this study site has a rather high barometric efficiency (B_{av …}

The Completions Of Local Rings And Their Modules., Christopher Scott Taber

Masters Theses

"This paper gives a generally self-contained introduction to the completions of local rings and their modules. The '.Fbrmal Power Series, the Ideal-adic, and the Projective Limit completions are established, and the conditions under which they are equivalent are also given. In addition, two methods of obtaining the completion of an R-module from the completion of the ring Rare supplied. As an ideal of R may also be taken as an R-module, a discussion of obtaining its completion from the completed ring is also provided. Two well-known examples are furnished in this paper"--- Abstract, p. ii

A Study On Two Iodine Containing Peptides Isolated From Porcine Thyroglobulin, Frederick E. Bishop Jr.

Masters Theses

"Two iodopeptides were isolated from thyroglobulin that had been digested with trypsin by paper electrophoresis and paper chromatography. The amino acid analysis demonstrated that the amino acid compositions were similar. The N-terminal amino acid of both iodopeptides was shown to be leucine. The amino acid sequence of one of the iodopeptides was determined by the Edman degradation method and digestion with the enzyme Carboxypeptidase A. The sequence was shown to be: NH₂-Leu-Asn-Ala-Ser-Glu-MIT-Gly-Thr-Ser-Gly-COOH. Other workers have shown that synthetic tyrosyl peptides with the sequence Glu-Tyr are iodinated by the thyroid peroxidase enzyme with a greater specificity than other tyrosyl peptides. This …

A Numerical Study Of Ordinary Differential Equations With Periodic Coefficients, Richard Bruce Schuessler

Masters Theses

"In this thesis a method for solving ordinary differential equations with periodic coefficients is derived. In addition, by utilization of Floquet theory, a theorem is given by which it is possible to determine the stability of the zero solution. Error bounds are given for the method and for the two dimensional case bounds are given for the error in the eigenvalues. Several numerical examples are given to illustrate the method"--Abstract, page ii.

The Chemical And Electrochemical Oxidative Decarboxylation Of Methyliminodiacetic Acid In Acid Media, Rita Kathleen Hessley

Doctoral Dissertations

"Methyliminodiacetic acid (MIDA) is oxidized with cerium. (IV) in both perchloric and sulfuric acids to give sarcosine, formaldehyde, and carbon dioxide"--Abstract, page 2.

A Study Of The Kinetic And Thermodynamic Properties Of Carbon Acids In Methanol, Dennis L. Filger

Doctoral Dissertations

The thermodynamic acidity (pK_a) of iodoform in methanol was determined at 25°C and 35°C; the values are 18.74 and 18.05, respectively . These acidity constants were determined by a modification of the equilibrium quenching technique which involves the conversion of the conjugate base of iodoform, present at equilibrium, to the radioactively labelled acid.

The rate constants for the methoxide-catalyzed hydrogentritium exchange of chloroform, iodoform, 9-phenylfluorene and indene were determined in methanol at various temperatures. The second-order rate constants obtained from these studies were shown to be the rate constants for removal of a triton. The activation parameters (ΔH …

Charge Transfer Between H ˉIons And O₂ Molecules And D ˉIons And O₂ Molecules In The Ground State., Paul Edgar Chaplin

Masters Theses

"This thesis has been prepared in the style utilized by the Physical Review A. Pages 1-17 will be presented for publication in that journal. Appendices I, II, III, and IV have been added for purposes normal to thesis writing"-- Abstract, p. ii

An Algorithm For Minimizing The Riding Time Of Students On School Buses., Dennis Ray Morgan

Masters Theses

"This thesis presents an algorithm which selects from a given set of stops a subset of stops corresponding to a given bus which minimize the riding time of students in going to and from school. The time required in picking up students at their stops and delivering them to school is analyzed. An example is given which illustrates the formulation of a problem and the results obtained from the solution. Finally, the program which was used in the solution of the problem is given along with its implementation"-- Abstract, p. ii

Comparison Of Scatter Storage Techniques Using An Analysis Of Variance Model, Robert Lee Kitsch

Masters Theses

"An analysis of variance model is developed to determine if a significant difference exists between various scatter storage techniques. The model is a two-factor hierarchical mixed design with each combination of transformation and search method considered as a treatment. The data used in the analysis is obtained from a computer program which provides statistics on the number of probes needed to load the (k+l)st item into a table for the different treatments. An ANOVA table was then computed for various load factors.

A significant difference among the treatments was detected for load factors above .4. Comparison of individual treatments using …

Metal Salt Catalyzed Carbenoids The Catalysts In Trialkyl Phosphite Copper (I) Complex Catalyzed Decomposition Of Diazo Compounds, Nguyen Van Thinh

Masters Theses

"Partial rate data, asymmetric induction studies, interrupted experiments and additives studies indicate that copper(I) salt-phosphite complexes are destroyed during the course of reactions with dimethyl diazomalonate (1) and ethyl diazoacetate (2). All evidence is consistent with the copper(I) being oxidized to copper(II) and copper(0) being oxidized by impurities in the olefin which most probably are hydroperoxides.

Several new copper(I) salt-phosphite complexes were prepared and examined but none proved as effective for decomposing (1) as copper(II) bis acetylacetonate.

The utility of the copper (I) chloride-trimethyl phosphite complex for decomposing (1) is a function of the means of preparation. The three general …

A Kinetic Study Of The Cerium (Iv)-Oxalic Acid System In Acidic Sulfate Media., Robert Richard Kessler

Masters Theses

"The kinetics of the cerium (IV) oxidation of oxalic acid was studied by a stopped-flow spectrophotometric technique in acidic sulfate media. The media consisted of perchloric acid, sodium sulfate and sodium perchlorate which allowed for the determination and control of the various sulfate and hydroxo species of cerium (IV) at prescribed hydrogen ion concentrations. The rate of reaction decreases rapidly with increasing sulfate concentration which yields evidence against previous reports indicating Ce (SO₄)₂ and Ce (SO₄)^2-₃ as the reactive cerium (IV) species. The results indicate that Ce (SO₄)²⁺ is the …

A Computational Method For Determining The Growth Rates Of Saline Water Drops., Robert Alexander Fletcher

Masters Theses

"A phenomenologica1 theory is presented which describes the growth or evaporation of cloud droplets containing dissolved NaCl. The main interest is in the early stages of growth. The Maxwell-Fuchs equation is employed with refinements to account for the high sa1t concentration in small droplets. A computer program is presented that ca1culates the growth time as a function of radius for cloud droplets nucleated with NaCl.

The growth times obtainable from the Maxwe11-Fuchs equation differ significantly from the growth times ca1culated using the refined Maxwell-Fuche equation for ambient relative humidities less than or equal to 100%. Growth times for droplets nucleated …

An Analysis Of The Bourbeuse River As A Source Of Concrete Aggregate., David John Lexa

Masters Theses

"This thesis represents a study made to evaluate the sand and gravel deposits of the Bourbeuse River as a source of concrete aggregate. The Meramec River has long been a major source of aggregate in Missouri; however, proposed dam construction will limit the quantity available for exploitation. The Bourbeuse River, a tributary of the Meramec, was chosen for evaluation as an alternate source.

The study was conducted in two parts: an estimation of available quantity; a determination of the quality of the material. Quantity of material was estimated through an analysis of drill logs, correlated with the results of basic …

Mechanism Of Solvolysis Of 3-Methyl-2-Butyl Brosylates., Luu Le Nghi

Masters Theses

"The brosylates of 3-methyl-2-butanol and it's a-d₁-, ß-d₁-, B-d₃-, and S-d₄- analogs have been synthesized. The solvolytic rate data for these compounds were determined. The solvolytic products in 70% (vol.) ethanol-water have been identified by flame ionization gas chromatography using a Carbowax 20M column. The amount of each product was measured by integrating the peak areas from the chromatograms. By analyzing the isotope effect data, the rate determining step is shown to be the formation of the hydrogen bridged ion pair intermediate. By evaluating the GC-mass spectral analysis of the isopentenes, a …