Physical Sciences and Mathematics Commons^™

Thermochemistry Of Cyclophanes, Chyi-Feng Shieh

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The syntheses and properties of various cyclophanes have been extensively investigated by Cram and others. The paracyclophanes are compounds in which benzene rings are linked to each other by two saturated chains at the para positions, as in structure I. When they are joined to the meta positions, they are called metacyclophanes.

The Kinetics And Mechanism Of The Reaction Of Molybdenum(V) With Iodine, Oxygen And Nitrate, Ervin Park Guymon

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Molybdenum compounds present a series of baffling chemical puzzles. By no means are all of these yet even clearly defined and many may never be. This complexity results from the ability of molybdenum to form six different oxidation states, which can possess three different coordination numbers. Furthermore, molybdenum compounds readily disproportionate to yield mixed valence compounds; and finally, molybdate ions readily aggregate in solution to form a variety of polyions by polymerization-condensation reactions which are controlled by pH and the concentration of the system. Molybdenum's complexity can best be summed up in the words of the late Edgar Smith who …

Paleozic Stratigraphy Of The James Peak Quadrangle, Utah, Harley D. King

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

General Statement

The James Peak quadrangle is a topographic map unit of the Geological Survey of the U. S. Department of Interior (Plate 1). It covers 7 1/2 minutes of latitude and longitude at a scale of 1:24, 000 or 1 inch to 2, 000 feet. It is bounded by lat 41°22'30" N. and lat 41°30' N. and long 111°45' W. and long 111 °52 '30" W The quadrangle includes 56 square miles and has maximum relief of about 4, 300 feet.

The James Peak quadrangle is located in northern Utah between the Wasatch Range on the west and the …

Formulation Of Error Structures Under Non-Orthogonal Situations, Justus Frandsen Seely

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

To gain an appreciation or understanding for the title of this study we must first understand what the phrases "non-orthogonal" and "error structure" mean. With an understanding of these terms the title of this study will become clear.

To obtain an understanding of the term non-orthogonal, consider an experiment where differing treatments are applied to groups of experi­mental units in order to observe the differential treatment responses. If an equal number of experimental units are in each group, then we say we have an orthogonal situation. This means that when equal numbers exist among the experimental units, that the variability …

Boolean Space, Tzeng-Hsiang Sun

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

M. H. A. Stone showed in 1937 and subsequently that many interesting and important results of general topology involve latices and Boolean rings. This type of result forms the substance of this thesis.

Theorem 4, page 11, states that for any r ≠ 0 in a Boolean ring, there exists a homomorphism h into I₂ , (the field of integers modulo 2), such that h(r) = 1.

Theorem 3, page 6, states that any subring of a characteristic ring of a Boolean space X is the whole ring if it has the two points property (that is, given x, …

Geology Of The Monte Cristo Area, Bear River Range, Utah, Robert B. Smith

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Monte Cristo area is a 7 1/2-minute quadrangle located in the southeastern. part of the Bear River Range, northern Utah. It is within the Middle Rocky Mountain province and is 10 miles east of the Basin and Range province. Previous to this investigation little was known about the detailed geology of the area except for a reconnaissance study and general geologic map of the Cache County part included in the Geologic Atlas of Utah, Cache County, published by Williams (1958).

The purposes of this investigation were as follows: (1) to determine the formations present in the area and their …

Effect Of Calcium Availability On Alfalfa Grown In Calcareous High Sodium Soils, Harry Irving Nightingale

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In soil science we shall always be confronted with reactions in soils that involve Ca. Early recognition of this led to experimentation in this area. Due to the fact that Ca deficiency is most common in acid soils, the majority of the experimentation has in the past been largely confined to acid soils and their soil-Ca-plant relationships. There has been relatively little research done with Ca and its availability problems associated with alkaline or sodic soils.

Spectral Analysis Of Time-Series Associated With Control Systems, Karl Leland Smith

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The progress of science is based to a large degree on experimentation. The scientist, engineer, or researcher is usually interested in the results of a single experiment only to the extent that he hopes to generalize the results to a class of similar experiments associated with an underlying phenomenon. The process by which this is done is called inductive inference and is always subject to uncertainty. The science of statistical inference can be used to make inductive inferences for which the degree of uncertainty can be measure in terms of probability. A second type of inference called deductive inference is …

Error Structure Of Randomized Design Under Background Correlation With A Missing Value, Tseng-Chi Chang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The analysis of variance technique is probably the most popular statistical technique used for testing hypotheses and estimating parameters. Eisenhart (12) presents two classes of problems solvable by the analysis of variance and the assumption underlying each class. Cochran (9) lists the assumptions and also discusses the consequences when these assumptions are not met. It is evident that if all the assumptions are not satisfied, the confidence placed in any result obtained in this manner is adversly affected to varying degrees according to the extent of the violation.

Barypact Topological Spaces, Bradley Y. Maughan

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Recently, Kimber [3] has discovered a general class of topological spaces, the members of which are termed barypact spaces, that includes the compact topological spaces. This class is distinct from the set of all compact topological spaces, but its members possess many of the useful properties associates with compactness. As a consequence, several standard compactness theorems become special cases of corresponding theorems in a more general setting and the techniques of proof applied to these extensions provide new, and sometimes remarkably simple, proofs of the very theorems they generalize. The purpose of this paper is to extend to this …