Physical Sciences and Mathematics Commons^™

A Comparison Of The Lr And Qr Transformations For Finding The Eigenvalues For Real Nonsymmetric Matrices, Susan Clara Hanson

Masters Theses

"The LR and QR algorithms, two of the best available iterative methods for finding the eigenvalues of a nonsymmetric matrix associated with a system of linear homogeneous equations, are studied. These algorithms are discussed as they apply to the determination of the eigenvalues of real nonsymmetric matrices.

A comparison of the speed and accuracy of these transformations is made. A detailed discussion of the criterion for convergence and the numerical difficulties which may occur in the computation of multiple and complex conjugate eigenvalues are included.

The results of this study indicate that the QR algorithm is the more successful method …

The Faraday Rotation And Dispersive Doppler Effects In The Ionosphere At Oblique Incidence, Charles Roland Baugher Ii

Masters Theses

"Integral equations for the isotropic and anisotropic ray path of a radio wave propagating through the ionosphere are developed. These equations assume a spherically stratisfied ionosphere and are equivalent to a detailed ray-tracing process. A method is devised to utilize these equations in the evaluation of combined Faraday rotation and dispersive Doppler data from earth satellites for subionospheric electron content. The method, which corrects for horizontal ionospheric gradients, is applied to data from the Explorer 22 satellite and some preliminary results are discussed"--Abstract, page ii.

Structure Contours On The Top And Base Of The M Bed, The Relationship Of Mineralization To Structures, And The Variation Of The M Bed Thickness In The Tri-State District, Missouri, Kansas And Oklahoma, Arvind A. Desai

Masters Theses

"Regional structure and thickness of a single horizon, the M bed, have been studied in the Tri-State district by picking the top and base of the M bed in the logs of 557 selected drill holes and contouring this data together with the aid of local detailed structural information available for individual mining fields. Structures determined from these data were compared to the positions of mined mineralization to determine the control of regional structure upon the localization of ore. Variations in the M bed thickness were compared to the positions of fields of mineralization to examine possible spatial relationships which …

The Construction Of A Multi-Threshold Foil For Fast Flux Measurements, Michael Henry Holkenbrink

Masters Theses

"The construction of a multi-threshold foil for fast neutron flux measurements is investigated. The factors governing the selection of the materials are the energy response of the given reactor, the half-life of the daughter, the prominent gamma ray emitted during decays, the power level of the reactor, the availability of adequate cross section data, and the alloying properties of the composite foil. A ternary system was chosen as a compromise between the difficulty of fabrication and the amount of information gained from one foil. The particular system chosen was In- P- Fe. The threshold reactions of these elements are In¹¹⁵ …

A Simulation Study Of A Proposed Computer Installation, John Edward Hawthorne

Masters Theses

"The operation of a data processing center has been studied with the objective of investigating the effect of various facilities, job loads, and operating policies as measured by job turnaround time. The mechanism for study was digital computer simulation.

This thesis purports to review the technology of simulation and the associated computer techniques, defines the problem and the alternatives available, and analyzes the results derived from the experiments.

Conclusions drawn from this study support the current practice of a functioning data processing center"--Abstract, page ii.

Tectonic Analysis Of Mare Humorum On The Lunar Surface, Adnan Said Abul-Husn

Masters Theses

"Morphology and internal structures of surface features of the Mare Humorum area were interpreted from photographs and topographic maps. The postulated origin of certain features is based on analog comparisons with known terrestrial features. The laws of crate ring and a newly developed computer program were applied to two representative classes of craters to determine the possibility of a meteoritic impact origin. Some of the craters formed by meteoritic impact and others, including those with a radius larger than 10 Km, probably resulted from volcanic activity.

Mare Humorum formed from centripetal subsidence followed by extensive lava eruptions. Spacially related rilles …

Upper Cretaceous-Lower Cenozoic Foraminifera From An Oil Well In Northwestern Iraq, Farouk Sunallah Al-Omari

Masters Theses

"Twenty-five samples of well cuttings from the Iraq Petroleum Company Butmah Number 9 Well in northwestern Iraq, at approximately 36° 37' north latitude and 42° 41' east longitude, have been examined in detail. The boundary between the Upper Cretaceous and lower Cenozoic is recorded as closely as possible on the basis of the microfaunal assembalges. A unit showing equivalence to the Danian Stage also is recognized"--Abstract, page ii.

The Mössbauer Effect In Bismuth Ferrate, Bruce A. Banks

Masters Theses

"The magnetic hyperfine structure of the Fe⁵⁷ nuclei in bismuth ferrate was investigated using the Mössbauer effect. A Mössbauer effect spectrometer was built with consideration given to the elimination of vibration and the optimizing of the source, absorber, and detector geometries to produce the largest fractional Mössbauer effect per fractional standard deviation. The internal magnetic field at the Fe nuclei in BiFeO₃ was determined to (482 ± 9) kilooersteds at room temperature"--Abstract, page ii.

Ecology And Distribution Of Foraminifers Of A Traverse In The Northwestern Gulf Of Mexico, Faiz Nassir Thomas

Masters Theses

"Foraminiferal populations have been analyzed from five bottom samples along a traverse in the northwestern Gulf of Mexico, approximately 27⁰20' to 97⁰15' north latitude and 97⁰20' to 97⁰05' west longitude. Eighty-eight species and twenty-nine genera, belonging to eighteen families, were recorded. Species were identified and described.

Statistical studies indicate that probably five benthonic foraminiferal depth facies could be recognized in the area at the following approximate depths: 4 fathoms, 4-8 fathoms, 8-12 fathoms, 12-16 fathoms, and 16-20 fathoms. Determination of facies is based largely on the range of species. The frequency distribution of species of foraminifers was plotted against change …

A Mathematical Study Of Voigt Viscoelastic Love Wave Propagation, David Nuse Peacock

Masters Theses

"This research is a mathematical investigation of the propagation of a Love wave in a Voigt viscoelastic medium. A solution to the partial differential equation of motion is assumed and is shown to satisfy the three necessary boundary conditions. Velocity restrictions on the wave and the media are developed and are shown to be of the same form as those governing the elastic Love wave"--Abstract, page ii.

Two-Dimensional Seismic Model Studies, Joong Hee Chun

Masters Theses

"The purpose of this research was to design and construct apparatus suitable for two-dimensional seismic model studies.

A new technique for two-dimensional seismic model testing was devised which allows wide application of the equipment. This enabled the author to place the source and receiver in any desired position on the model, thereby permitting the recording of seismic events as function of distance and depth at any position

Two simple geometric models were tested to demonstrate the experimental range of the apparatus designed. The recorded data were compared with theoretical predictions and were found to be in good agreement"--Abstract, page ii.

An Investigation Of The Control Of Hydraulic Fracturing Through The Inclusions Of Prefractures, William Joseph Kabeiseman

Doctoral Dissertations

"Among the methods for determining the in-situ state of stress within the earth’s crust, hydraulic fracturing has been and is receiving much attention. This method, in principle, measures stress directly with no delicate electronic equipment required nor knowledge of the elastic modulus of the material.

This dissertation investigates experimentally whether or not control of fracture orientation can be achieved by the introduction of circular and elliptical prefractures along with sand inclusions into cast hydrostone blocks which are hydraulically fractured. A mathematical model is presented and analytically solved for the stress condition associated with a circular crack containing fluid pressure with …

Some Geological And Magnetic Characteristics Of Buried And Resurrected Precambrian Hills Of Southeastern Missouri, James Edward Palmer

Doctoral Dissertations

"PURPOSE AND SCOPE OF INVESTIGATION The major purpose of this investigation was to determine by a comprehensive study various geological and magnetic characteristics of buried and resurrected Precambrian hills of the Central Ozarks. A second important objective was the determination of characteristics which might aid in the location of buried Precambrian hills. A final objective was the testing of the magnetic surface integration method for identification and determination of depth of buried Precambrian hills.

This investigation is limited to buried and resurrected Precambrian hills of the Central Ozarks. It is concerned primarily with the structure and stratigraphy of sediments adjacent …

Absolute Soft X-Ray Dosimetry For Radiation Chemistry Studies, Howard Sajon Joyner

Masters Theses

"A homogeneous, variable plate separation ion chamber consisting of a polyethylene body and employing flowing ethylene as the cavity gas has been designed and tested for the specification soft x-ray (<75kV) energy deposition in typical hydrocarbons. The variable plate separation feature provided primary data on the differential specific ionization originating within the cavity gas occupying the effective collector volume which is independent of inherent chamber inhomogeneities associated with the electrically conducting films comprizing the chamber electrodes. These data demonstrated that charged particle equilibrium is established within the first few ten thousandths of an inch in typical solid hydrocarbons irradiated with this class of sources. Comparison of this type of chamber with a fixed plate separation, static cavity gas mode of operation showed that the latter may predict dose rates with inherent errors exceeding 100%. With the quality of electronic readout accessories presently available, the variable plate separation chamber yielded dose rate data exhibiting a probable error of 3.8 percent (plus the unknown uncertainty in the literature data on the energy required to form an ion pair), and an ultimate limiting error of less than 2 percent appears feasible"--Abstract, page ii.

Error Analysis Of Rational Approximations Of Functions With Emphasis On Minimax Techniques, Mary Frances Good

Masters Theses

"This study examines the various considerations which are made when a function is approximated by a rational function. None of the four approximations considered here gives both a rapidly calculated approximation and one in which the maximum magnitude of the error function over a given interval is a minimum.

The second algorithm of Remes produces a sequence of rational approximations which converge to the rational approximation that minimizes the maximum magnitude of the error function for a given number of parameters to be calculated if the initial approximation in the sequence is chosen properly. Several rational function approximations are investigated …

Geology Of The Acari Iron Mining District Arequipa, Peru, Raul Alejandro Zevallos

Masters Theses

"The Acari Iron Mining District, part of a tilted uplifted fault block, comprises an area about 300 square kilometers, in the southern part of the coastal belt of Peru. It is in the foothills of the western range of the Andes and it is dominantly formed by granodioritic and granitic intrusive rocks which belong to the Andean batholith of Cretaceous-Tertiary age. The intrusive rocks are overlain by a central, elongated, northwest trending band, of metasedimentary and volcanic rocks

The magnetite deposits of Acari district are long, dike-shaped bodies, which fill two systems of fractures in the granodiorite intrusive, located in …

Re-Evaporation Nuclei And Evaporation In A Wilson Cloud Chamber, James G. Smith

Doctoral Dissertations

"Experimental techniques are developed for observing droplet evaporation in the submicroscopic size range. An expansion-compression cloud chamber with an atmosphere of tank helium saturated with water vapor is employed. This work was undertaken with the aim of examining submicroscopic droplet behavior and the existence of re-evaporation nuclei, a form of memory effect.

The theories of evaporation and nucleation on submicroscopic drop residues were re-examined, and alterations which appear to be consistent with the results of this work were incorporated into the evaporation theory.

The observed continually decreasing evaporation rate with diminishing droplet size confirms the existence of re-evaporation nuclei, but …

Diffusional Drop Growth In A Supersaturated Atmosphere, John C. Carstens

Doctoral Dissertations

"The effect which a growing droplet has on the supersaturated atmosphere surrounding it is analyzed by assuming a macroscopic diffusional growth mechanism involving both heat and vapor. The problem is solved, for cloud-chamber conditions, first for very short times assuming a fixed radius, and then for longer times assuming the establishment of "quasi" steady-state conditions. Knowledge of the way in which droplet growth affects supersaturation is important in the evaluation of nucleation rates"--Abstract, page ii.

Stable Predictor-Corrector Methods For First Order Ordinary Differential Equations, Terrell Lester Carlson

Masters Theses

"Because of the wide variety of differential equations, there seems to be no numerical method which will affect the solution best for all problems. Predictor-corrector methods have been developed which utilize more ordinates in the predictor and corrector equations in the search for a better method.

These methods are compared for stability and convergence with the well known methods of Milne, Adams, and Hamming"--Abstract, page ii.

Heat Flow In The Boss Deposit Of Missouri, Don Stainbrook

Masters Theses

"Values of heat flow through a Precambrian mineral deposit were determined in the Boss area of Missouri, where 350 meters of Paleozoic sedimentary rocks overlie a complex series of rhyolite flows which have been altered and contain a copper bearing magnetite deposit. Geothermal data were obtained from a closely spaced grid of 17 diamond drill holes penetrating to depths of 1000 meters below ground surface. Temperature measurements were made at 5 meter intervals in the Precambrian section of all holes. These and thermal conductivity measurements made on representative core samples from 300 to 400 meters below the top of the …

Stratigraphy, Sedimentation And Structure Of The Upper Cherokee And Lower Marmaton (Pennsylvanian) Rocks Of Bates County, And Portions Of Henry And Vernon Counties, Missouri, Richard J. Gentile

Doctoral Dissertations

"The major purpose of this dissertation is to describe in detail the stratigraphy of the upper Cherokee and lower Marmaton groups of the Middle Pennsylvanian, Desmoinesian Series in a portion of western Missouri. The stratigraphy of the upper Cherokee and lower Marmaton groups in areas of Kansas west of the project area has been studied by several workers. The most recent contributions have been by Jewett in 1941 and 1945, and by Howe in 1956. Detailed geological mapping also has been completed under the direction of the Missouri Geological Survey in areas to the east of the project area. Most …

Studies On The Conversion Of Indole Acetic Acid And Oxindole Acetic Acid By Hygrophorous Conicus, Barbara Ruth Patterson

Masters Theses

"The fungus, Hygrophorous conicus, produces the enzyme, indole acetic acid oxidase, when grown in the presence of indole acetic acid (IAA) or tryptamine. The IAA acts both as an inducer and a substrate for this intracellular enzyme. The product of the oxidation catalyzed by the IAA oxidase is oxindole acetic acid (OIAA). Since the IAA and OIAA absorb maximally at two different wavelengths the use of spectrophotometric analysis was possible for assaying for the IAA oxidase activity. Paper chromatography was used for qualitative identification of the IAA and OIAA. The rate of growth and the rate of formation of the …

Stereochemistry Of Chlorinated Diels-Alder Adducts, Harry R. Musser

Masters Theses

"Hexachlorocyclopentadiene and related compounds have been studied extensively in connection with Diels-Alder reactions. Many of the adducts formed are used as intermediates in insecticide syntheses. It is of interest to study the stereochemistry of the adducts of one of the hexachlorocyclopentadiene derivaites. 5,5-Dimethoxy-1,2,3,4-tetrachlorocyclopentadiene and various dienophiles, when allowed to react, yield compounds of the bridges bicyclo [2.2.1] hept-2-ene series. The study of the endo and/or exo configuration of various functional groups such as carboxyl, aldehyde, and hydroxymethyl can be related to the known exo-5-hydroxymethyl1-1,2,3,4-tetrachlorobicyclo-[2.2.1] help-2-ene-7-one"--Introduction, page [1].

An Instrument For The Measurement Of Anelastic Properties Of Glass, Thomas Frederick Miller

Masters Theses

"An inverted torsion pendulum for measuring the internal friction and dynamic shear modulus of glass fibers over an extended temperature range has been constructed and calibrated. The calibration consists of the determination of the moment of inertia. Extraneous damping losses were investigated and primary sources were found to be (1) the suspension thread, (2) the method of securing the fiber and (3) air damping. Anelastic measurements were made on an annealed vitreous silica fiber and a soda-lime-silica fiber"--Abstract, page ii.

Thermal Hydrolysis And Structure Studies On Cobalt (Ii) Acetate, Russell J. Hesch

Masters Theses

"The object of this study was to investigate the structure of cobalt (II) acetate, isolated from glacial acetic acid, without recourse to standard x-ray methods"--Introduction, page 1.

The Geology Of The Interstate Highway 244 And 44 Exchange, Kirkwood, Missouri, John Neil Thomas

Masters Theses

"During the summer of 1964, construction was completed on the intersection of Interstate Highways 244, 44 and U.S. Highway 66, one mile southwest of Kirkwood, Missouri. during the construction of the interchange, numerous artificial exposures of rocks of the middle Mississippian Meramecian Series were exposed. This provided an excellent opportunity for examining fresh exposures near the type Meramecian Series. The formations of the area were studied, and startigraphic [sic] sections were prepared from three of the more complete sections that were measured and described. The highway cuts expose complete sections of the Warsaw and Salem formations, and the lower part …

Transformations Of Tryptamine And Tryptophan By Basidiomycetes, Hsaio-Lung Cheng

Masters Theses

"The product formed from tryptamine by Trichloloma nudum was identified as indoleacetic acid (IAA) and from tryptophan by Cantharellus cibrarius as indolelactic acid (ILA). The products were extracted from the spent media with organic solvents. Purification and identification of the crystalline transformation products were accomplished by means of paper chromatography, spectrophotometry and thin layer chromatography.

The conversion of tryptamine and tryptophan was also studied in cultures of Lencopaxillus paradoxus, Pluteus granularis and Pleuatus ostreatus. Only Pluteus granularis was found to transform tryptamine into IAA. Lencopaxillus paradoxus transformed tryptamine into oxindoleacetic acid (OIAA).

Paper chromatography proved to be useful …

A Study Of Certain Conservative Sets For Parameters In The Linear Statistical Model, Roger Alan Chapin

Masters Theses

"In the case of the linear statistical model, it has been shown that under certain conditions the confidence intervals obtained by considering the parameters one at a time are conservative when used as a joint confidence region, using the product of confidences as the confidence. However, nothing had been known of how conservative they are. This research provides accurate estimates of the true confidence for these cases.

Also, it has not yet been proved that they are indeed conservative for all cases. It is thought that they are, and the results of this research support this conjecture"--Abstract, page ii.

Zinc And Copper Content Of Stream Sediment In South-Central Missouri, Shih-Cheang Cheng

Masters Theses

"Thirty samples of stream sediment from the North Fork River, Bryant Creek and related tributaries in south-central Missouri have been analyzed for cold-extractable copper, cold-extractable heavy metal, total copper and total zinc.

Cold-extractable copper varies from 0 to 10 ppm and averages less than 1 ppm; cold-extractable heavy metal varies from 3 to 30 ppm and averages 12 ppm; total copper varies from 50 to 200 ppm and averages 88 ppm; total zinc varies from 20 to 300 ppm and averages 86 ppm.

The pH of the stream water appears to have no affect on the metal content of the …

A Graphical Method Of Estimating Heat Capacities Of Hydrocarbons, Pu-Ying Liu

Masters Theses

"Heat capacity arises because the individual particles comprising a substance are able to move and thus take up kinetic energy and usually also potential energy as the temperature rises. In many substances electrons do not absorb energy until very high temperatures are reached. Thus most heat capacity effects are interpreted in terms of the motion of the atoms neglecting electronic transitions. The total internal energy of a material is, therefore, equal to the sum of the energies due to translational and rotational motion of the molecules and to the vibrational motion of the atoms making up the molecules...The objective of …