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Conifer Wood From The Upper Jurassic Of Utah; I, Xenoxylon Morrisonense Sp. Nov., William D. Tidwell, David A. Medlyn

Faculty Publications

A new species of conifer wood, Xenoxylon morrisonense, is described from the Morrison Formation on the Colorado Plateau. It is compared with other species of Xenoxylon, with X. latiporosum being the closest. Xenoxylon morrisonense differs from X. latiporosum in its marked indentations, simple pits on the horizontal and tangential walls of ray cells, absence of crassulae, presence of wood parenchyma, and thin borders on podocarpoid type crossfield pits. The origin of the septa in the tracheids is summarized, and the possible affinity of Xenoxylon with the Podocarpaceae is considered.

Univalence Of Derivatives Of Functions Defined By Gap Power Series, S. M. Shah, S. Y. Trimble

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Coefficient Inequality For Convex Univalent Functions, S. Y. Trimble

Mathematics and Statistics Faculty Research & Creative Works

A short proof of formula presented is given for normalized convex univalent functions. © 1975, American Mathematical Society.

On Functional Equations Related To Mielnik's Probability Spaces, C. F. Blakemore, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is shown that the method used by C. V. Stanojevic to obtain a characterization of inner product spaces in terms of a Mielnik probability space of dimension 2 does not admit a generalization to dimension n > 2. © 1975 American Mathematical Society.

Prediction Of Plant-,Soil- And Air-Temperature On A Microscale In The Desert, L. R. Martinez, I. Dirmhirn

Progress reports

No abstract provided.

Programming Phase Of Water Response Ecosystem Model: V. Annual Plant Submodel, B. J. Gilbert

Progress reports

No abstract provided.

The Lippmann Equation And The Ideally Polarizable Electrode, Jean- Pierre Badiali, Jerry Goodisman

Chemistry - All Scholarship

The Lippmann equation for the ideally polarizable interface is normally derived by thermodynamics, using the Gibbs dividing surface. Therefore, the quantities appearing in the Lippmann equation can have no reference to the actual charge distribution in the interfacial region. For example, the quantity referred to as surface charge is actually a sum of surface excesses, rather than the integral of a true charge density. In this article we derive, by statistical mechanical methods, the Lippmann equation for a model at the molecular level, thus giving a precise physical definition to all quantities which appear. First, we derive the conditions for …

Does The Causal Structure Of Space-Time Determine Its Geometry, David B. Malament

Student Theses and Dissertations

This essay explores the following problem: to what extent is it possible to construe the causal structure of space-time as basic and from it to reconstruct the topological and metrical structure of space-time? The problem is first examined within the context of Minkowski space-time (Chapter II) and then generalized to the class of space-time models considered in the general theory of relativity (Chapter III). Much of the essay is technical. But it is motivated by philosophical debate over the viability of causal theories of time and of space-time. By way of introduction, this initial chapter presents a brief discussion of …

On The Existence Of Solutions Of Differential Equations And Zeros Of Operators In K-Banach Spaces, Evin Bronson, R. L. Tennison, A. Richard Mitchell

Mathematics Technical Papers - Archive

The theory of existence of solutions of differential equations in a Banach space employing norm as a measure is sufficiently well known [5, 6, 8, 9]. Also utilizing this theory one can prove the existence of zeros of operators [2, 7, 8, 9, 11]. The advantage of using a generalized norm as a candidate in discussing the qualitative theory of differential equations is also known [1]. These thoughts naturally lead to the use of cone-valued norms as a measure since this approach unifies the existing theories as well as offers a more flexible mechanism for applications. In this paper, we …

Fixed Point Theorms Of Operators With Ppf Dependence In Banach Spaces, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] with range in a Banach space E denoted by [see pdf for notation] and the range of the nonlinear operator T is in E. As we shall see delay differential equations form an important example of such a nonlinear operator. We shall obtain analogues of the contraction mapping principle, Krasnoselskii's fixed point theorem as well as a result on the convergence of iterations of quasi-nonexpansive mappings.

Economic Value Of Water-Oriented Recreation Quality, E. Boyd Wennergren, Herbert H. Fullerton, John E. Keith, Robin Meale

Reports

No abstract provided.

Process Studies And Modeling Of Self-Cleaning Capacity Of Mountain Creeks For Recreation Planning And Management, Cheng-Lung Chen, Keith D. Davis

Reports

Reaeration process studies were conducted on a mountain creek and a large laboratory flume. The method of evaluating the dispersion coefficient, mean velocity, and reaeration coefficient for both creek and flume consisted of finding these values for a deoxygenated portion of the flow containing a conservative tracer (dye). The deoxygenated slug is measured as it moved downstream and the three values are best fit in the analytical solution of the longitudinal dispersion equation which dynamically describes the flow of the dispersing slug in the stream. The best fit was accomplished by using the method of least squares of the differences …

The Historical Development Of Wasatch Trails In Salt Lake County, Clyde Brian Hardy

Theses and Dissertations

In this study investigation was made concerning the etiology of the foot trails that thread their way through Wasatch Forest lands in Salt Lake county. The time delimitation was 1847 to 1975.

The origin of the majority of these trails dates back to the nineteenth century and is closely tied to the efforts of pioneers who labored to wrest a living from semi-arid land. Early lumbering, livestock operations, mining activities, water collection systems, and pioneer recreation all provided impetus for trail development. In a sense these trails are a kind of anthology of human endeavor.

Passing into the twentieth century …

A New Approach To The Method Of Nonlinear Variation Of Parameters, A. Richard Mitchell, M. E. Lord

Mathematics Technical Papers - Archive

As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending the classical variation of constants formula for linear systems, Alekseev [1] obtained a variation of constants formula for nonlinear systems. In [2], Lakshmikantham developed a nonlinear variation of constants formula for a scalar differential equation whose unperturbed term is of variable separable type, under rather mild assumptions. In this paper, we wish to study the general problem under weaker assumptions. Our approach is parallel to the classical one and yields two different formulas, one …

On Massera Type Converse Theorem In Terms Of Two Different Measures (0), V. Lakshmikantham

Mathematics Technical Papers - Archive

The importance of uniform asymptotic stability in studying the stability properties of perturbed motions needs no emphasis. The converse theorem of Massera which results from uniform asymptotic stability has been widely used in perturbation theory (See [1,2,0]).Very recently [31 this powerful theorem has been fruitfully employed to investigate bifurcation problems and seems to have much future in that direction. The advantage of studying stability properties by means of two different measures, as given by Movehan [41 , is well-known (See also [2,51 ). However, there does not exist a converse theorem of Massera type when uniform asymptotic stability holds in …

Stiefel-Whitney Homology Classes And Bordism, Ethan Akin

Mathematics and Statistics Faculty Research & Creative Works

We develop the theory of mod 2 Stiefel-Whitney homology classes for Euler polyhedral. We then describe a simple method of obtaining pJ. bordism theories. Finally, we define the ungraded bordism theory of Euler spaces and show that it is isomorphic to ordinary total homology. © 1975 American Mathematical Society.

Tetrazoline Chemistry, Norman Wallace Rokke

Electronic Theses and Dissertations

It was of interest to investigate the chemistry of some tetrazolines since they might be sources of heteroatomic analogues of trimethylenemethane. In addition, they might provide alternate means of synthesis of small ring compounds such as diaziridinones and diaziridineimines. New compounds which were prepared are 1-(2,6-dimethylphenyl)­ tetrazoline-5-one, 1-(2,6-dimethylphenyl)-4-methyltetrazoline-5-one, l-phenyl-4-methyl-5-iminotetrazoline, l-phenyl-4-methyl-5- methyliminotetrazoline, and l-phenyl-4-methyl-5-methyliminotetrazoline methiodide. The mass spectra of the tetrazolines investigated are characterized by ring fragmentations which are helpful in determining their structure. In addition, fragmentation represents one of the few examples of a retro-1,3-dipolar cycloaddition reaction initiated by electron impact. The monosubstituted tetrazolines are thermally unstable. The course of …

Interactions Of Rhenium(V) Chloride And Oxotrichlorobis(Triphenlyphosphine)Rhenium(V) With Selected Solvents, Paul Luther Holm

Electronic Theses and Dissertations

The purpose of this study was to examine the solution interactions of rhenium(V) chloride and oxotrichlorobis(triphenylphosphine)rhenium(V) in a continuation of studies of rhenium(V) chemistry. These goals were accomplished using vacuum line and Schlenk tube techniques. As a result of this work, rhenium(V) chloride was found to dissolve with reaction in 1, 4-dioxane, diethyl ether and acetone. There was only a very small amount of rhenium(V) chloride which dissolved in carbon tetrachloride, chloroform and cyclohexane. Part of what did dissolve was shown by electronic and infrared spectroscopy to be oxotetrachlororhenium(VI) which was present as an impurity in small amounts. Oxotetrachlororhenium(VI) reacts …

Using Ibm's Information Management System To Implement A Relational Data Base, Melvin Arthur Rushton

Masters Theses

"A relational model of data has been the topic of several papers which deal with the question of the underlying design philosophy of data base systems. E. F. Codd, C. J. Date, and others have discussed the application of relation theory to formatted data, the objectives of such an approach, normalization of relations, and languages for manipulating the model (data sublanguages). Few papers have delt with storage constructs or access techniques for a relational data base. Indeed, it was not necessary that they do so, for the user of such a system is only concerned with the information available in …

Toacs : An Interactive Computer Graphic Display Model Of A Theaterwide On-Line Air Combat Simulation, Herman William Blick

Masters Theses

"On-line interactive graphics is a very effective research tool for examining the concepts, components and design parameters of theater warfare involving multiple aircraft. The aim of the present research is to design an on-line computer system which utilizes interactive graphic displays to develop a dynamic, two-sided mathematical model of theaterwide tactical fighter combat operations. The model, called TOACS, is very useful in simulating and evaluating airborne defense systems and the problems common to this type of simulation — such as the formulation of battle strategy for the commitment and guidance of interceptors against threat aircraft -- as well as those …

Tertiary Welded Tuffs Of The Ryan Spring Area, Needle Range, Beaver County, Utah, Peter Carlyle Rauch

Masters Theses

"The Needle Range of southwestern Utah is composed of Paleozoic sediments overlain by a thick sequence of Tertiary volcanic rocks primarily of the welded tuff class. The area has undergone at least four stages of post-eruptive structural deformation. The most significant stage is that which formed the range by normal Basin and Range type faulting. The faults strike northwest and tilt the volcanic layers northeast.

The volcanic section is composed primarily of the Needles Range Formation (Oligocene) overlain by the Isom Formation and underlain by several flows and ash flows, one of which has been tentatively correlated to the Escalante …

A Study Of Middle To Late Quaternary Sediments In The Karst Trap., David Lewis Rath

Masters Theses

"Quaternary deposits preserved in a karst trap on the Lebanon uplands a e described. The sediments represent the Yarmouthian, Illinoian, Sangamonian, and Wisconsinan Stages. The karst trap is pre-Yarmouthian in age. The lowermost deposit consists of residual fill material on which lies a well-developed Yarmouth paleosol. During the Illinoian Stage about 61 cm (2 feet) of Loveland loess was deposited over the area. Toward late Illinoian conditions favoring erosion rapidly filled the closed system, stripping the loess and reducing the residual slopes. The system stabilized during the Sangamonian Stage allowing for a thick, strong Sangamon paleosol to deve lop on …

An Analysis Of A Network Of Finite-Queue, Multiple-Server Facilities., Juanita Kaye Shukers Grau

Masters Theses

"An algorithm for listing all possible steady states and for generating the transition matrix for a series of finite-queue, multiple-server facilities is described. This algorithm is compared to a previously developed one. The new algorithm is better since it works for multiple servers and does not require an extra pseudo-facility. Using the list of states and the matrix generated by the new algorithm, exact steady state probabilities can be calculated. Then the probabilities can be used to obtain system statistics which cannot be calculated otherwise"-- Abstract, p. ii

Fluid Inclusion Geothermometry Of Tri-State Sphalerite, Chi-Sheng Wei

Masters Theses

"Fluid inclusions in successively deposited generations of sphalerite from the Tri-State district have been examined for geothermometry as a function of time. The main stage of vug-filling sphalerite has been studied most intensively and as many as 83 fluid inclusions have been examined in a single crystal. These sphalerite crystals are commonly zoned, and their filling temperatures exhibit a general pattern of declining temperature from their cores outward, from about 135°C down to 90°C. The decline is not a steady one, but rather it is characterized by fluctuations commonly about 15-20°C. Some fluctuations have magnitudes as great as 50-60°C, with …

Heavy Metal Contamination In Soil Around A Lead Smelter In Southeast Missouri, David Lewis Butherus

Masters Theses

"In order to determine the extent of possible heavy metal contamination, more than 963 samples of leaf litter and soil were collected from 410 sample stations around the AMAX smelter in southeast Missouri. Dried samples of leaf litter and minus 80 mesh soil fractions were analyzed for cadmium, copper, lead, and zinc by atomic absorption spectrophotometry. Minus 80 mesh soil fractions were also analyzed for sulfur using x-ray fluorescence methods. Ranges of heavy metal concentrations in leaf litter were: cadmium, 0.13 μg/g to 175 μg/g; copper, 4.2 μg/g to 6500 μg/g; lead, 50 μg/g to 130,000 μg/g; and zinc, 26 …

Geochemical And Biogeochemical Studies In The Hansonburg Mining District, New Mexico, Alan Nathan Silverman

Masters Theses

"The Hansonburg mining district is in Socorro county in south central New Mexico. A Paleozoic section of thick Pennsylvanian limestone units, thin shale and arkose layers and thick Permian units of sandstone, siltstone and gypsiferous beds interlayered with thin limestone units unconformably overlie a Precambrian basement of granite. The sedimentary rocks are folded with north trends and plunges. Northerly, some easterly and northwesterly trending faults cut the folds. Galena, fluorite, and barite mineralization occurs along some of the northerly faults and as bedded replacements and fissure fillings in the Pennsylvanian Council Spring limestone.

Geological mapping and geochemical soil surveys of …

Applications Of Metrics Over Tikonov Semifields And Fixed Points In Hilbert Spaces, John David Kubicek

Doctoral Dissertations

"For Non expansive mappings on locally convex spaces, sufficient conditions are given for the set of fixed points to be a Non expansive retract. Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.

Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.

In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings"-- Abstract, p. …

A Study Of Some Life Testing Distributions, Robert Marvin Smith

Doctoral Dissertations

"This dissertation is presented in publication form and consists of three articles. The first article considers a new life-testing distribution which has the property of possessing a failure rate function which can be U-shaped or exponentially increasing depending on the value of the shape parameter. In addition, this article considers generalized least squares type estimators for location-scale distributions, then uses these estimators in the analysis of the exponential-power distribution. Tables are provided for which inferences on the location and scale parameters and on the reliability can be obtained. The second article gives relationships between a goodness-of-fit statistic based on a …

Mixed Nonderivative Algorithms For Unconstrained Optimization, Roger Ellis Lessman

Doctoral Dissertations

"A general technique is developed to restart nonderivative algorithms in unconstrained optimization. Application of the technique is shown to result in mixed algorithms which are considerably more robust than their component procedures. A general mixed algorithm is developed and its convergence is demonstrated. A uniform computational comparison is given for the new mixed algorithms and for a collection of procedures from the literature"--Abstract, page ii.

A Heuristic Algorithm For The Multi-Terminal Vehicle Dispatch Problem Using The Modified Sweep Algorithm, Jerry George Johnson

Doctoral Dissertations

"A heuristic algorithm is developed for solving the multi-terminal vehicle dispatch problem. The demand points are first assigned to terminals using a scheme that minimizes the cost of each assignment. Single-terminal vehicle dispatch problems are then solved at each terminal using a heuristic procedure, called the Sweep Algorithm. A sequence of trial reassignments are then attempted in order to obtain further improvements in the overall solution. Eleven multi-terminal vehicle dispatch problems are presented and their solutions, derived by this procedure, are given.

Several changes are also proposed for the Sweep Algorithm in order to improve the solutions obtained and to …