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Characterizations Of Inner Product Spaces., John Lee Roy Williams

Masters Theses

"The parallelogram law and several extensions and generalizations which characterize inner product spaces among normed linear spaces are given. The characterization problem is motivated by its usefulness in foundations of general quantum theories and examples are given.

The technique of proving that a normed linear space is an inner product space by showing that its unit sphere is an ellipsoid is emphasized. Using this technique, a new integral characterization is obtained"-- Abstract, p. ii

Geologic Factors Influencing Speleogenesis In The Capitan Reef Complex, New Mexico And Texas, David Henry Jagnow

Earth and Planetary Sciences ETDs

The purpose of this thesis is to determine the geologic factors that have influenced speleogenesis (origin of caves) in the Capitan reef complex (Permian) exposed along the northeast prong of the Guadalupe Mountains of New Mexico and Texas. This study of 52 caves included mapping caves, joints, and cross sections, determining stratigraphic position, generating joint rose diagrams, and photographing the geologic and hydrologic controls on speleogenesis.

Most Guadalupe caves are strongly controlled by vertical joints that parallel or are nearly perpendicular to the reef escarpment. East of Rattlesnake Canyon, caves generally develop along joint swarms that parallel the reef escarpment; …

A Proof Of Convergence For The Tridiagonal Ql Algorithm In Floating-Point Arithmetic, James George Sanderson

Mathematics & Statistics ETDs

Numerous routines are available to find the eigenvalues of a real symmetric tridiagonal matrix. Since it is known to converge in exact arithmetic, the tridiagonal QL algorithm with origin shift is widely used. Here we analyze the algorithm in floating-point arithmetic. This analysis suggests two modifications to the EISPACK implementation TQLl that enable one to prove correctness and hence convergence of the routine.

Also, it is known that the implicit and explicit versions of the QL algorithm produce the same results in exact arithmetic. A counter-example to the floating-point analog of this theorem is presented.

The Effects Of Ultrasonic Vibration, Tension And Torsion On The Charge Acceptance Of The Alkaline Silver Electrode ; Ii. Potentiostatic Studies Of The Oxide Growth Rate Law For The Alkaline Silver Electrode ; Iii. The Determination Of Ionic Transport In Silver Oxide Using Radiotracer Techniques With Ag[Superscript 110m], Reed Harold Chase

Theses and Dissertations

The effect of ultrasonic vibration on the anodic oxidation of silver foil in KOH was studied. An increase in charging capacity of approximately 20% was found to be the result of cavitation erosion. Silver wire was exposed to tension and torsion during oxidation but no change in charge acceptance was caused by these stresses. The oxide growth rate on silver foil electrodes was compared to rate equations that have been proposed for other metals. Uhlig's equations for the growth of semiconductor oxides was found to describe most of the data. The data did not fit other rate equations. Determination of …

A Study Of Selected Photo Fries Rearrangements, Elwood Lloyd Loveridge

Theses and Dissertations

The Fries rearrangement of phenyl esters is reviewed and compared to the reaction when light is the source of energy. The products are different due to different mechanism of reaction. Light energy causes either free radical or concerted reactions. The S-phenylthiol esters and anilides were studied also. Although many of the rearrangements are the same, we did not see any alkyl migration nor decarboxylation type reactions with either the sulfur or nitrogen compounds. Three papers have been published from this work: Bradshaw, J. S., Knudsen, R. D. and Loveridge, E. L., J. Org. Chem., 35, 1219 (1970); Bradshaw, J. S., …

Voltammetric And Electrochemical Kinetic Studies Of The Halides And Halogens At A Platinum Rotating Ring-Disk Electrode In Anhydrous Acetic Acid, Donald Harrison Cranney

Theses and Dissertations

The electrochemical behavior of the iodine-iodide couple was investigated in both basic and neutral acetic acid solutions at a platinum rotating ring-disk electrode. Voltammetric curves were obtained and discussed. Various kinetic parameters were determined and by comparing to theoretical kinetic parameters a probable reaction mechanism was deduced. The mechanism that best fit experimental results is the following I- + S = I(S) + e- I(S) + I- = I2 + S + e (slow). The electrochemical behavior of bromine, bromide, and chloride was also investigated in the same media. Voltammetric curves were recorded and discussed with emphasis on the hysteresis …

Energy Dependence Of Amorphizing Implant Dose In Silicon, John R. Dennis, Edward Boyd Hale

Physics Faculty Research & Creative Works

The radiation-induced transformation from crystalline to amorphous silicon was studied using ion implantation. The ion energy was varied from 20 to 180 keV for Li+, N+, Ne+, Ar+, and Kr +. The energy dependence of the critical amorphizing dose was determined by electron spin resonance. Comparison of the data with theoretical calculations of the energy density deposited into atomic processes showed good agreement. This energy-dependent agreement gave evidence that energy density is important to the transformation at both low and high implantation temperatures.

Chlorine Distribution In The Idaho Batholith, Laurence Stewart Istas

Dissertations and Theses

Chlorine is thought to play a major role in the mobilization and concentration of base metals in the formation of ore deposits. The regional distribution of chlorine in the Idaho Batholith was studied to see if this could be related to mineralization or metallic provinces. One hundred forty-eight whole-rock samples, mineral separates, and standards were analyzed for chlorine by x-ray fluorescence.

The expected concentration of chlorine in the biotite fraction was not found. The chlorine was not significantly water leachable from the whole rock samples following normal grinding. The Idaho Batholith as a source for mineralizing chlorine was not established. …

Bird Problems And Food Storage And Processing Facilities, Robert M. Russell, Robert Yeager, Fred Baur, James R. Dupre

Bird Control Seminars Proceedings

For the bird control problems in the food industry I think we have a good pair to work with us. We have Bob Yeager, a pest control authority. Fred Baur is from Procter and Gamble, a great company with a long record of association with the pest control industry. Third, we have with us Jim Dupre, whose experience is with the Food and Drug Administration. And with all the government controls we've learned to expect from the government in the last few years, I think it's good for us to know that we have had a long and good record …

Perches And Repellents, Gene Meester

Bird Control Seminars Proceedings

Some of the things that you must know in bird control are your state and local regulations. The state law may read that a license is required for bird control. A state law may read that the techniques and manners of your control must conform with their law. A state law may require registration of the poison you're going to use. State law may also prohibit placement of baits at a certain time during the day or year. And most important, a state law may prohibit control of specific types of birds. In Nebraska and most of the other states, …

Computer Model Of A Fast Toroidal Plasma Compression, With Application To The Topolotron, H. Mark Nelson, Keith H. Brown, Charles A. Hart

Faculty Publications

The method is developed for a comuputer sequence which models a fast toroidal theta or screw pinch for a highly conducting axially symmetric plasma. The computer sequence takes into account the self-inductances of the plasma and the external conductors which drive the compression as well as the mutual inductance which electromagnetically couples the two. The computer sequence is divided into three phases: a snowplow compression phase, an adiabatic compression phase, and a crowbarred circuit phase. The computer sequence is applied to a topolotron and an example is given of a magnetohydrodynamic equilibrium geometry for which the plasma surface possesses an …

A Review Of The Limnology Of And Water Quality Standards For Lake Mead, Charles R. Goldman

Publications (WR)

1. The waters of Las Vegas Bay, a heavily utilized recreational resource, receive discharges from a variety of municipal and industrial waste sources. The U.S. Environmental Protection Agency has determined, on the basis of numerous studies, that the present water quality violates state and federal standards and constitutes a public nuisance. Consultants have advised the Sewage and Wastewater Advisory Committee that rapid abatement of the alleged pollution conditions can be achieved by an advanced wastewater treatment (AWT) plant.

2. The major problems in Las Vegas Bay are an objectionable water color, excessive turbidity, noxious odors, and oxygen depletion in certain …

Report On Wastewater Disposal To Board Of County Commissioners, Clark County Nevada, Clair N. Sawyer

Publications (WR)

This report is concerned with the management of waste-waters and subsurface drainage from the City of Las Vegas and its environs and the BMI complex, all in Clark County, Nevada. The prime objective is to recommend a plan of action which will utilize the natural resources of the area in the least costly manner and still protect Lake Mead for recreational purposes and use as a public water supply, At this writing, conditions in the upper Las Vegas arm of Boulder Basin are quite unsatisfactory for some recreational purposes due to the extensive blooms of algae which develop. Experience at …

Geophysical Approaches To Coal Exploration, Gerald B. Rupert

UMR-MEC Conference on Energy / UMR-DNR Conference on Energy

The exploration for minerals by geophysical means has been confined largely to the search for hydrocarbons and metallics while applications to coal exploration are somewhat limited. However, the surface reflection seismic technique has been successfully applied not only to delineating coal deposits but also as a tool in mine exploitation. Furthermore, channel waves generated underground have demonstrated potential in detecting the presence of faults in advance of the coal face and Vibroisis* experiments have been conducted whereby abandoned underground workings have been detected by surface seismic arrays. Examples of all of the preceeding are presented and discussed.

Wetting As A Means Of Bird Control, Sheldon Lustick

Bird Control Seminars Proceedings

That birds are homeotherms is demonstrated by their ability to maintain a relatively constant body temperature over a wide range of ambient temperatures. An important com- ponent of this ability to maintain a constant body temperature in a cold environment is the feather layer. Birds have been shown to acclimate to cold by increasing their plum- age 20-30 percent and, hence, increasing their insulation (Kendeigh, 1934; Scholander, et al., 1950; West, 1962). Hutchinson (1954) states that oil secreted by uropygial (preen) glands maintains the ability of the feathers to shed water and, therefore, aids in maintaining the insulating layer. Since …

Some Results On Arithmetic Codes Of Composite Length, Tai-Yang Hwang, Carlos R.P. Hartmann

Electrical Engineering and Computer Science - Technical Reports

In this paper we present a new upper bound on the minimum distance of binary cyclic arithmetic codes of composite length. Two new classes of binary cyclic codes of composite length are introduced.

Data Types As Lattices: Retractions, Closures, And Projections, Luis E. Sanchis

Electrical Engineering and Computer Science - Technical Reports

This paper considers the mathematical principals of lattice theory oriented toward the theory of computation.

Predicting The Number Of Bugs Expected In A Program Module, Linda M. Ottenstein, Victor B. Schneider, Maurice H. Halstead

Department of Computer Science Technical Reports

No abstract provided.

Inelastic Cross Sections For Molecules Interacting Through Dipole And/Or Quadrupole Potentials, Louis Biolsi Jr.

Chemistry Faculty Research & Creative Works

Formal expressions for the lowest order inelastic contribution to the degeneracy averaged total cross section for both distinguishable and indistinguishable rigid diatomic molecules are obtained for molecules interacting through a multiple potential. Explicit expressions for the inleastic cross section are obtained for molecules interacting through permanent dipole-dipole, dipole-quadrupole, or quadrupole-quadrupole potentials. These results require the summation over only a single quantum number; the relative angular momentum quantum number. Thus, they are useful for analytic or numerical calculations.

Excitation Of The N=2 State Of Atomic Hydrogen By Electron Impact In The Distorted-Wave Approximation, Ralph V. Calhoun, Don H. Madison, W. Neil Shelton

Physics Faculty Research & Creative Works

The differential cross sections for excitation of the n=2 state of atomic hydrogen by the impact of electrons with energies of 54, 100, 136, and 200 eV are calculated in the distorted-wave approximation with exchange included. Cross sections for excitation of the 2s_1/2, 2p_1/2, and 2p_3/2 states are calculated and summed to give the n=2 differential cross sections. The results of this calculation are compared with previous theoretical calculations and with recent absolute experimental data.

The Effects Of Dredging On The Stability Of An Ebb-Tidal Delta, Lynnhaven Inlet, Virginia, Donald Keith Riggenbach

OES Theses and Dissertations

A channel was dredged in 1965 through the ebb-tidal delta of Lynnhaven Inlet, Virginia. The purpose of this study was to determine if this channel has affected the morphological configuration of the delta. It was proposed that the channel caused the dynamically stable delta to become unstable and change its morphology.

Bathymetric comparisons of seven surveys during the last 122 years, including one conducted during this investigation, show that prior to 1962 and the dredging operations, the delta had become dynamically stable. The present survey shows that the delta has changed its shape in response to the interaction of the …

The Use Of Prior Observations In Constructing Prediction Intervals For The Normal Distribution, Charles B. Davis

Mathematics & Statistics ETDs

A prediction interval procedure uses information contained in a sample together with other relevant information to produce an interval which will contain the next observation to be taken from the population with confidence no less than a pre-determined /J. One prediction inter­val procedure renders another "inadmissible" at the fJ level if (1) both procedures maintain the B confidence level and (2) the former produces intervals which are at least as "short" as, and sometimes "shorter" than, those produced by the latter; "short" is defined in a natural fashion in terms of expected length or expected upper (lower) limit. as is …

A Survey Of Archeological And Historical Resources Within The Bonneville Unit Of The Central Utah Project, Frank W. Hull, Craig W. Fuller

Elusive Documents

Four small archeological sites were found but were of insufficient significance to warrant their further study or preservation. Providing the enlargement of Deer Creek Reservoir represents the only alternative, a comprehensive study of the community and its historic resources has been recommended, especially as it relates to the use of land and water. In addition, study has been recommended of the settlement as it relates to the understanding of agricultural development in Utah.

Mathematical Modeling In Medicine, Jerome Eisenfeld

Mathematics Technical Papers - Archive

Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, medically oriented articles presently appear in several mathematics journals. We call the reader's attention to the following journals: Bulletin of Mathematical Biology (continues The Bulletin of Mathematical Biophysics), Biomathematics (also called Revue de Bio-Mathematique), SIAM Journal in Applied Mathematics (a new series devoted to biomathematics will appear shortly), Math Biosciences, Biomedical Engineering, IEEE Transactions in Biomedical Engineering, Journal of Biomechanics, Biological Cybernetics, Computers in Biology and Medicine, Journal of Theoretical Biology, and Biometrics. Each year there are …

Behavior Of A Manganin Coil At Elevated Temperatures And Pressures, Jonathan D. Weiss, Daniel L. Decker, H. B. Vanfleet

Faculty Publications

We have determined the temperature dependence in the first-order pressure coefficient of a manganin coil to be dBetaB/dT= (4.2±0.8) ×10^-7 (kbar degrees C)^-1 in the equation R (T,P) =R (T,0)(1+BetaP+GammaP2), where R (T,P) is the coil resistance at temperature T and pressure P. The measurements were performed by simultaneously measuring the coil resistance and temperature at the transitions of mercury and bismuth, which were observed by differential thermal analysis.

Undecidable Properties Of Finite Sets Of Equations, George F. Mcnulty

Faculty Publications

No abstract provided.

Application Of Theorems Of Schur And Albert, Thomas L. Markham

Faculty Publications

No abstract provided.

Biostratigraphy Of The Snowshoe Formation (Jurassic) In The Izee Area, Grant County, Oregon, Paul Lawrence Smith

Dissertations and Theses

Using the standard Jurassic zonal scheme, this work attempts to determine the ages of the four members of the Snowshoe Formation that crop out in the Izee area. As a corollary, regional correlations are possible. The stratigraphic relationship between the Snowshoe Formation, the subjacent Hyde Formation and the superjacent Trowbridge Formation is also investigated.

Over one thousand fossils were collected from five stratigraphic sections and eight localities. The sections were measured using tape and compass techniques and the relative stratigraphic ranges of the fossils calculated using a computer program written specifically for this project. The ammonite fauna, dominated by the …

Cone-Valued Lyapunov Functions, S. Leela, V. Lakshmikantham

Mathematics Technical Papers - Archive

It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a variety of qualitative problems of differential equations in a unified way [10]. Nevertheless, when using this powerful technique for concrete problems, the main difficulty we face is the lack of general method of constructing a Lyapunov function. This naturally beads to the development of the method of vector Lyapunov functions which utilizes several Lyapunov-like functions and the theory of vector differential inequalities in a fruitful manner [5,8-12]. This method offers a more flexible mechanism to …

A Monotone Method For Infinite System Of Nonlinear Boundary Value Problems, V. Lakshmikantham, Jagdish Chandra, S. Leela

Mathematics Technical Papers - Archive

Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ordinary and partial differential equations. While such procedures take a simple form when the nonlinearities are independent of gradient terms [6,9], the extension of such techniques to fully nonlinear problems has been quite formidable. In the case of scalar ordinary differential equations of the type (1.1) [see PDF for equation] such results have been obtained making use of either a linear maximum principle (3,1] or a nonlinear maximum principle [4]. In either case an essential use is made …