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Some Properties Of Certain Sets Of Coprime Integers, Roger C. Entringer

Mathematics & Statistics ETDs

The set P(n) of all primes equal to or less than n has the obvious property that it contains exactly one multiple of each prime equal to or less than n. We use this partial description of P(n) as a basis for the following

Definition 1.1. An increasing sequence {a₁,...,a_k} of integers greater than 1 is a coprime chain if it contains exactly one multiple of each prime equal to or less than a_k.

Origin Of Some Recent Tractional Sedimentary Structures In The Rio Puerco Near Bernardo, Socorro County, New Mexico, Lawrence H. Wagner

Earth and Planetary Sciences ETDs

The Rio Puerco, in the area of study, occupies a valley eroded in the Santa Fe formation. The silty alluvium is incised by the present channel of the Rio Puerco to a depth of 10 to 25 feet. The depth of the alluvial fill in the area is not known. The channel is 50 to 300 feet wide with braod meanders interspersed with straight reaches. The Rio Puerco is ephemeral in the lower reaches with flow produced by local rains on the watershed.

Convergence Functions And Their Related Topologies, Darrell C. Kent

Mathematics & Statistics ETDs

A convergence function is a correspondence between the filters on a given set S and the subsets of S which specifies which filters converge to which points of S. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on S. Thus a convergence function may be regarded as a generalization of a topology.

Petrography Of The Olalla Stock, Okanagan Mountains, British Columbia, James Anton Sturdevant

Earth and Planetary Sciences ETDs

The Olalla stock is located in the Okanagan Mountains of south-central British Columbia, about 20 miles north of the international boundary. It occupies approximately 6 square miles and consists of late Mesozoic mafic and ultramafic rocks and subordinate alkalic rocks, which have intruded previously folded and metamorphosed sediments of the Triassic (?) Shoemaker Foundation.

The rocks of the stock may be broadly grouped into two major categories: (1) those formed from the differentiation of a crystallizing magma that probably entered during the Nevadan orogeny, and (2) those formed by metasomatic replacement of pyroxenite. The rocks of the first category are, …

The Geology Of The South Mountain Area, Bernalillo, Sandoval, And Santa Fe Counties, New Mexico, Tommy B. Thompson

Earth and Planetary Sciences ETDs

South Mountain is approximately 30 miles northeast of Albuquerque in the southern end of the San Pedro-Ortiz porphyry belt. It is a Tertiary monzonite laccolith that intrudes the Permian Abo and Yeso Formations and, in places, the Permian Glori eta Sandstone. The base of the lac­eolith lies on the Abo except in the southeastern part where it overlies the Mes eta Blanca Member of the Yeso. The incompetence of the Yeso appears to nave allowed the monzonitic magma to spread laterally throughout the stratigraphic interval up to the Glorieta Sandstone which was more resistant and broken only locally by the …

Stratigraphic Analysis Of The Queen And Grayburg Formations, Southeastern Chaves County, New Mexico, James L. Mcswain

Earth and Planetary Sciences ETDs

The area of study lies in southeastern Chaves County, New Mexico, and is a part of the northwest shelf or backreef province of the Permian Basin. The area encompasses all or parts of Tps. 10 through 15 S., Rs. 24 through 31 E.

The Queen and Grayburg formations comprise the lower part of the Artesia group, an upper Guadalupian sequence of Permian shelf rocks above the San Andres formation and below the Ochoan series. The Queen-Grayburg sequence has an average thickness of about 600 feet and is correlative with the Goat Seep reef at the margin of the Delaware Basin, …

Paleoecology Of The Varved Rita Blanca Lake Deposits, Hartley County, Texas, Douglas W. Kirkland

Earth and Planetary Sciences ETDs

The Rita Blanca lake deposits in the northwestern part of the panhandle of Texas have been dated as Blancan age by vertebrate remains. During maximum development, Rita Blanca lake probably had an elliptical shape with a length of about 6 miles and breadth of about 3 1/2 miles.

The subject of this report is the petrology and paleontology of a 4 1/2-foot laminated clay bed of Blancan age low in the exposed Rita Blanca lake deposit of Hartley County, Texas. The main purpose is to determine the paleoecology, in particular the nature of the climatic regime which prevailed during deposition …

Self-Diffusion In Single-Crystal Tungsten And Diffusion Of Rhenium Tracer In Single-Crystal Tungsten, Robert L. Andelin

Chemistry and Chemical Biology ETDs

Self-diffusion in single-crystal tungsten and diffusion of rhenium tracer in single-crystal tungsten have been measured over the temperature range 2660°C to 3230°C by the direct sectioning technique. The initial radioactive layer of tungsten and rhenium tracers was produced on the diffusion samples by bombardment with 9.0-MeV deutrons. It was shown that the initial radioactive layer satisfactorily approximated the boundary-condition requirements of the one-dimensional diffusion equation. The tracers observed in determining the diffusion coefficients were W¹⁸⁵, Re¹⁸³, and Re¹⁸⁴. Diffusion heating of the samples in high vacuum was accomplished by an induction-heating arrangement which included …

Theory Of The Effect Of Temperature On The Electron Diffraction Patterns Of Diatomic Molecules, Russell A. Bonham, Jerry Peacher

Physics Faculty Research & Creative Works

The effect of temperature on the electron diffraction pattern of a diatomic molecule is considered from the standpoint of the simple kinematic scattering theory utilizing a quartic vibrational potential. The potential is obtained by an expansion of ħ²J( J+1)/2μr²+D exp[-2a(r-r_e)]-2D exp[-a(r-r_e)] about its minimum value r₀. The second-order wavefunction for the nth vibrational and 7th rotational state of the system has been obtained, and expressions for the electron diffraction quantities r_g, l_e ², and M (s) have been computed. General results for the quantity M (s) …

Nuclear Quadrupole Resonance Of Chlorine35 In Ammonium Chlorate And Ammonium Perchlorate, James Derwin King

Theses

Nuclei which have a spin number, I, greater than 1/2 usually have an electric quadruple moment as well as a magnetic moment. The electric quadrupole moment describes the deviation from spherical symmetry of the positive charge over the nucleus. Interaction of this electric quadruple moment of the nucleus with an inhomogeneous (axially symmetric) electric field existing in molecules and crystals due to the surrounding charge cloud causes radio frequency resonances to exist. The resonant frequency is dependent on the nuclear quadruple moment as well as the shape and magnitude of the electric field existing at the nucleus due to the …

Distress In Children Going To X-Ray, Ina Madge Longway

Loma Linda University Electronic Theses, Dissertations & Projects

It is commonly recognized that hospitalized children need psychological support and preparation for painful procedures. It is probable that little thought is given by hospital personnel to a similar preparation of the child for non-painful procedures. This study attempted to evaluate the distress incurred by children subjected to non-painful hospital procedures with little or no preparation. The procedure of x-ray was selected as being common and typical. The method used was the descriptive survey. The tools used were the taking of a series of six blood pressure readings per child, the administration of two forms of a short psychological test …

Molecular Addition Compounds :|Bi. Systems Of P-Dioxane With Alkyl Halides, Anisole, And Silicon Tetrachloride ; Ii. Titanium Tetrachloride Chargetransfer Complexes Of Benzene, P-Xylene, And Pseudocumene, Nolan F. Mangelson

Theses and Dissertations

Freezing-point diagrams were detennined tor a number or p-dioxane systems. The system, p-dioxane:carbon tetrachloride, was found to contain a 1:2 complex with a congruent melting point of 255.71 °K. This confirmed work reported in the literature. Solid solutions in the region between 0.0000 and 0.4796 mole fraction of p-dioxane were found in the present study. The system, p-dioxane:chloroform, was found to contain a 1:2 complex with a congruent melting point of 215.65 °K. It was determined that no other complexes formed in the solid state. This information resolved contradicting reports in the literature. The system, p-dioxane:dichloromethane, was found to contain …

The Seventy-Fifth Session Of The Iowa Academy Of Science And The Thirty-First Convention Of The Iowa Junior Academy Of Science, April 19-20, 1963, Iowa Academy Of Science

Iowa Academy of Science Documents

No abstract provided.

The Incidence And Types Of Medication Errors Occurring Among A Selected Group Of Elderly Patients, Harriet Dinsmore

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to find the incidence of medication errors among a group of patients, sixty years of age and over, who were being treated in the outpatient department of a selected urban hospital; and to investigate the effect of certain selected factors on the errors found. It was also planned to compare findings from this study with one done by Schwartz et. al. in New York. The descriptive survey approach employing an interview guide was used.

Errors were classified as those of omission, self-medication, incorrect dosage, and errors in timing or sequence. Fifty-two per cent of …

Magnetic Structure Investigations At The Nuclear Center, R. Ballestracci, E. F. Bertaut, J. Coing-Boyat, A. Delapalme, William Joseph James, R. Lemaire, R. Pauthenet, G. Roult

Chemistry Faculty Research & Creative Works

The magnetic structure of the compounds UOS, ß-CoSO₄, YCO₅, and HoCO₅ is briefly described.

UOS is antiferromagnetic. The Néel temperature is T_n=55°K. The magnetic cell is doubled in the c direction with a ++ - - sequence of U moments along c. The apparent spin is S∼1. The negative interaction corresponds to U-O-U links.

In ß-CoSO₄ (high-temperature modification, space group Pbnm), Co atoms are in 000, 00½, ½½½, ½½0. Here three different antiferromagnetic spin modes, mutually perpendicular, A_x(+ - - +), G_y(+-+-), and C_z(++ - - …

The Kinetics Of The Hydrolysis Of Some 2-Imidazolines, Bobby G. Harnsberger

Chemistry and Chemical Biology ETDs

In recent years, 2-imidazolines have become important industrially. Possible applications include uses as drugs, fungicides, emulsifying agents, demulsifying agents, corrosion inhibitors, fuel oil additives and gasoline additives.

A Proposed Modification Of The Available Momentum Region In Thomas-Fermi Theory, John F. Barnes

Physics & Astronomy ETDs

The statistical model of the atom, first propounded by Fermi and Thomas has proved a most useful approximation to the self-consistent field method in calculating electron distributions and fields in atoms. Because of its relative simplicity, it has found wide application as a means of predicting properties of free atoms and of solids. The original theory has been the subject of many modifications and refinements, some of which are reviewed in this paper.

Directive Effects In The Sulfonation Of Toluene ; Synthesis And Attempted Rearrangement Of Some Anilinoketones ; The Kinetics And Mechanism Of The Addition Of Bromine To Cyclohexene In Dichloromethane. Solution, John Joseph Duvall

Theses and Dissertations

The pure sodium salts of the toluenesulfonic acids were prepared by one of two ways. Both methods started with diazotization of the toluidine. In the first method, the diazonium solution was treated with sulfur dioxide and copper powder, and the resulting sulfinic acid was oxidized to the sulfonic acid with potassium permanganate. In the second method, the diazonium solution was treated with cuprous chloride and sulfur dioxide to give the sulfonyl chloride which was hydrolyzed to the sulfonate. Toluene was sulfonated by SO3 (enriched with S-35) in refluxing SO2 solution. The isotope dilution technique was used to determine the isomer …

Firebreaks Without Erosion : Hints To Prevent Firebreak Erosion, Department Of Agriculture, Western Australia

Journal of the Department of Agriculture, Western Australia, Series 4

AGRICULTURAL fire risks are now greater than they have been in the past and are steadily increasing with the advance of agriculture in Western Australia.

During the past 20 years the area of cleared arable land and the area under crop have more than doubled.

The area of established pasture is four times as great as it was. Pastures and crops are much more productive —and more liable to carry destructive fires than they were.

A Study Of Methods For Estimating Parameters In Rational Polynomial Models, Thomas B. Baird

Masters Theses

“The use of rational polynomials for approximating surfaces is investigated in this study. In particular, methods for estimating parameters for a rational polynomial model were investigated.

A method is presented for finding initial estimates of the parameters. Two iterative methods are discussed for improving those estimates in an attempt to minimize the sum of the squares of the residuals. These two methods are (1) Scarborough’s Method for applying the theory of least squares to nonlinear models and (2) the Method of Steepest Descent.

Data from two functions were chosen and approximated as illustrations. Each set of data was used two …

The Reaction Of Sodium Iodide In Acetone With Halogenated Epoxides -- A Mechanism Study, Thomas E. Breuer

Masters Theses

"l-bromo-2,3-epoxybutane reacted with sodium iodide in acetone to give 3-iodo-l,2-epoxybutane in 70.1 per cent yield. 3-bromo-l,2-epoxybutane produced l-iodo-2,3-epoxybutane in 69.9 per cent yield when it was allowed to react with a solution of sodium iodide in acetone. No other product could be isolated after either reaction, although it is possible that another compound may have been produced in very small amounts. The iodoepoxides were oxidized to the corresponding α-iodoacid in approximately ninety per cent yield by silver oxide"--Summary, page 40.

Investigation Of Measures Of Ill-Conditioning, Thomas D. Calton

Masters Theses

“The object of investigation in this study is that of ill-conditioning in the solution of a system of linear equations. Ill-conditioning arises when the solution is very sensitive to small changes in the coefficients of the unknowns.

A study is made in this paper of the various proposed measures of ill-conditioning for the purpose of finding the most practical method or measure for determining whether a system is ill-conditioned.

The problem of near-singular or ill-conditioned systems is of great importance in the solution of linear systems because of the extensive use made of them in practical situations. Solution of a …

Stereoradiography As Applied To Problems Of Petrology., Martin Goldstone

Masters Theses

"Stereoscopic examination of radiographs of rock and ore samples allows a rapid, cursory determination of texture and structure without time consuming preparation and use of thin sections. In addition, volumetric estimates of known mineral components can be made providing they possess significantly different x-ray absorption characteristics.

Stereoscopic effect was most pronounced for specimens having well defined components of structure such as bedding, banding, lineation, inclusions, textural variations and moderate to large x-ray absorption differences. In general, these conditions were best met by ores or ore minerals with their related gangue minerals.

Stereoscopic examination was not successful in revealing twinning or …

Geology Of The Northern Half Of The Ellington Quadrangle Missouri., Robert Charles. Thornton

Masters Theses

"Geologic mapping has been completed for the northern half of the Ellington Quadrangle, Missouri. Rocks exposed in the thesis area are Precambrian and Paleozoic in age. The Precambrian rocks are granites and felsite. The Paleozoic rocks include the Potosi and Eminence Formations, of Upper Cambrian age, and the Gasconade Formation of Ordovician age. Distinction between the Potosi and Eminence Formations is difficult because of conformable and transitional relationships. In the thesis area sufficient evidence was available to separate the dolomites of the Potosi and Eminence as mappable units. This mapping should be useful as a basis for more detailed geologic …

Atomism In Late Nineteenth-Century Physical Chemistry, George Fleck

Chemistry: Faculty Publications

No abstract provided.

Mineralogy, Petrography, And Ceramic Properties Of Lower Cabaniss Underclays In Western Missouri, Anthony C. Tennissen

Doctoral Dissertations

The mineral and chemical components, the petrography, and the ceramic properties of the Weir-Pittsburg, Tebo, and Mineral underclays In Barton, Vernon, St. Clair, sod Henry Counties of western Missouri have bean Investigated by x-ray diffraction, differential thermal, spectrographic, microscopic, and certain ceramic testing techniques. The underclays are composed principally of little, kaolinite, end mixed-layer illite-montmorillonite. Illite is the dominant mineral. The principal non-phyllosilicate minerals are quarts sad pyrite. The under clays are mineralogically similar to the underlying shales and contain clay pallets which also are mineralogically similar to the underclays and shales in which they are found. The clay appears …

An Investigation Of The Acceleration Of Neutrons, Charles Edward Byvik

Masters Theses

"The acceleration of neutrons via their magnetic dipole moment in an axially symmetric magnetic field is considered. Conditions for bunching are derived and expressions for the off-axis forces are developed. It was found that neutrons off axis are forced back onto the axis and that neutrons slightly depolarized remain in their initial state. A calculation of the acceleration is made using the field of a current loop and the conclusion is that under present laboratory capabilities a neutron accelerator is not feasible"--Abstract, page ii.

A Study Of Methods For Determining Confidence Intervals For The Mean Of A Normal Distribution With Unknown Varience By Comparison Of Average Lengths, Karl Richard Kneile

Masters Theses

“The purpose of this thesis is to briefly review various properties which may be desirable for a system of confidence intervals; and to empirically determine whether the system of confidence intervals obtained from the Student’s t distribution will produce shorter average lengths than those obtained by other methods which may be used. It was concluded from the results of an empirical investigation that there was no significant difference between the average lengths of confidence intervals obtained from a family of distributions of which the Student’s t is a member"--Abstract, page ii.

Spin Relaxation Of Optically Pumped Rubidium., Kenneth Brian Steinbruegge

Masters Theses

"This Thesis is intended to be a self-contained guide to the theory and experimental procedures of optical pumping in one of its most usual applications. A particular study is made of optical pumping of rubidium vapor and results are given stating the most efficient temperature range in which to produce large populations of optically oriented rubidium atoms. The thermal relaxation time for optically orientated rubidium for a particular system is given and the effect of trapped resonance radiation is considered in the interpretation of the experimentally obtained curves"--Abstract, p. ii

The Application Of Quantum-Mechanical Concepts To Biological Systems, Andrew A. Cochran

Masters Theses

"The relation between quantum-mechanical concepts and biological systems is explored by studying the relation of both to the concepts of heat capacity and entropy. It is shown that the most important substances in living matter have extremely low heat capacities and entropies at ordinary temperatures. A critical analysis of the two types of quantum-mechanical interactions between particles and the interactions occurring in low-entropy systems shows that the wave properties of matter are strongly predominant in the chemical elements that constitute 99 percent of living matter. It is concluded that the wave aspects of matter are strongly predominant in biological systems. …