Physical Sciences and Mathematics Commons^™

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 …

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 …

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.

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.

Molybdenum-L-Histidine Complexes, Jiing-Yun Lee

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

L- Histidine is a very important amino acid and is widely distributed in living systems. In the growth and multiplication of animal cells, it was found that L-histidine is one of the amino acids that must be present. From the kinetic studies of certain enzymes such as chymotrypsin and ribonuclease, it has been proposed that the imidazolyl group of the histidine residue may serve as the basic electron donor, and that the histidine residue in some cases may be the active site of the enzyme. The interactions of L-histidine with heavy metal ions, including Ni (II) (1), Zn (II) (1, …

The Interaction Of Water And Salt Flow In Unsaturated Soils, Mahmoud Hassan Abd-El Aziz

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The movements of salt and water, particularly in fairly dry soils or compacted shales, are important processes in both agronomic studies and hydraulics of deep ground water which is important in the location of oil.

Temperature Dependence Of Soil-Moisture Potential, Jacob Willem Kijne

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Teachers have noticed that children draw only those objects which they know by name. Doubtless the adult has a similar tendency, exemplified by the researcher, to limit his observations or to relate them to that which can be expressed in the terminology of an existing or newly developed theory. In this thesis the data obtained from studies of the temperature and pressure dependence of the relative vapor pressure over moist soil samples are analyzed by a thermodynamic approach. Not all of the results can be explained completely by means of this tool. Natural systems, such as a moist soil, are …

Effects Of Temperature On Moisture Conductivity In Unsaturated Soil, Richard O'Bannon Meeuwig

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Water moves in soil in response to potential gradients. The basic equation for this movement is the generalized v=-K▽Φ in which v is volume of water passing through a unit area in unit time, K is the conductivity coefficient, ▽, is the gradient operator (vector), and ▽Φ is the potential gradient.

Influence Of Fertilizer Treatment On The Response Of Sugar Beet Yield To Moisture, Samad Farzanfar

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many factors that influence the growth and quality of sugar beets behave in one way under one set of conditions and in quite another under other conditions. Consequently, these factors should be considered together under a dynamic situation to find their interrelations and their influence on sugar beet yield.

This study is a statistical analysis of the interaction of fertilizer and soil moisture potential with the yield of sugar beets grown in a crop rotation under different regimes of irrigation conducted over a period of seven years.

The data are available for the years 1949 through 1956, from an intensive …

Geology Of The Southwestern Part Of The Randolph Quadrangle, Utah-Wyoming, Steven C. Hansen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A detailed study of the southwestern part of the Randolph quadrangle was undertaken in view of the fact that Richardson (1941) mapped a large area of undifferentiated Ordovician rock. Therefore, the purposes of this investigation are: (1) to prepare a more detailed geologic map of the south­western part of the Randolph quadrangle (Plate 1), (2) to describe the struc­ture, stratigraphy, and geologic history of the area, and (3) to relate the geology to adjacent areas.

A Development Of The Number System, Janet R. Olsen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper is based on Landau's book "Foundations of Analysis" which constitutes a development of the number system founded on the Peano axioms for natural numbers.

Geomorphic Features And History Of The Lower Part Of Logan Canyon, Utah, Edmund J. Williams

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Logan Canyon is located east of Logan, Utah, in the Bear River Range. The lower part of Logan Canyon is considered that section of the canyon from its mouth upstream to Tony Grove Canyon, a distance of 22 miles¹, Figure 1. Some tributary canyons of the lower part of Logan Canyon have been included in this investigation because of their relationship to Logan Canyon. Grassy Flat Canyon, a south tributary of Logan Canyon 4.4 miles from Logan, exhibits several geomorphic features related to the geology of Logan Canyon. Because of its extensive use and close association with Logan …

Simulation Of Mathematical Models In Genetic Analysis, Dinesh Govindal Patel

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In recent years a new field of statistics has become of importance in many branches of experimental science. This is the Monte Carlo Method, so called because it is based on simulation of stochastic processes. By stochastic process, it is meant some possible physical process in the real world that has some random or stochastic element in its structure. This is the subject which may appropriately be called the dynamic part of statistics or the statistics of "change," in contrast with the static statistical problems which have so far been the more systematically studied. Many obvious examples of such processes …

Nitrite Reactions In Soil, John Otto Reuss

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Losses of soil nitrogen that cannot be attributed to leaching or crop removal have been observed in many field experiments. Several mechanisms have been proposed to account for these losses.

Salt Effect On Water Requirements Of Plants, Abdel-Wahhab M. H. Sallam

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Water requirement was defined by Briggs and Shantz in 1911 as the ratio of the weight of water absorbed by a plant during its growth to the weight of dry matter produced. Ballard (1933) and Williams (1935) defined water requirement as the ratio of the amount of water transpired to the amount of dry matter produced. Ballard (1933) and Williams (1935) defined water requirement as the ratio of the amount of water transpired to the amount of dry matter formed during the whole or any part of the life cycle of the plant. Miller (1938) and Kramer (1959) postulated that …

The Lower Devonian Water Canyon Formation Of Northeastern Utah, Michael E. Taylor

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In 1948 Williams subdivided the Jefferson Formation of northeastern Utah into two formations. The upper formation was referred to as the Late Devonian Jefferson Formation and the lower formation the Early Devonian Water Canyon Formation (Williams, 1948, p. 1138). Since that time detailed study of the Water Canyon Formation has not been made. It is the purpose of this investigation to describe in detail the lithology and paleontology of the formation and their implication as to the environment of deposition of Early Devonian time in northeastern Utah.

An Investigation Of The Properties Of Join Geometry, Louis John Giegerich Jr.

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper presents a proof that the classical geometry as stated by Karol Borsuk [1] follows from the join geometry of Walter Prenowitz [2].

The approach taken is to assume the axioms of Prenowitz. Using these as the foundation, the theory of join geometry is then developed to include such ideas as 'convex set', 'linear set', the important concept of 'dimension', and finally the relation of 'betweenness'. The development is in the form of definitions with the important extensions given in the form of theorems.

With a firm foundation of theorems in the join geometry, the axioms of classical geometry …

Pressure Dependence Of Soil Water Matric Potential, Bozorg Bahrani

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The partial specific Gibbs¹ free energy or the chemical potential has been shown to be the most desirable thermodynamic function for describing soil-water systems. The absolute value of the chemical potential of soil water cannot be determined. If pure water at standard temperature and pressure is taken as the reference, the difference between the chemical potential of soil water and that of the reference can be measured and is called "soil water potential," which has the dimension of energy per unit mass.

The barometric pressure at the sea level has been accepted as the standard reference pressure. Thus, any …

Topological Groups, Nicolas Anthony Thireos

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A topological group is an abstract group which is also a topological space and in which the group operation are continuous. In group theory the algebraic binary operation of passage to a limit is studied in a similar manner. The two fundamental mathematical concepts of binary operation and passage to a limit are united and interrelated in the concept of topological group.

The concept of topological groups arose from the study of continuous transformations. However, topological groups can be studied quite independently from continuous transformations and the latter can be presented as applications of topological groups. The first person to …

Anti-Associative Systems, Dick R. Rogers

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A set of elements with a binary operation is called a system, or, more explicitly, a mathematical system. [2] The following discussion will involve systems with only one operation. This operation will be denoted by "⋅" and will sometimes be referred to as a product.

Investigation Of The Properties Of The Iterations Of A Homeomorphism On A Metric Space, Murray B. Peterson, Jr.

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Considerable study has been made concerning the properties of the iterations of a homeomorphism on a metric space. Much of this material is scattered throughout the literature and understood solely by a specialist. The main object of this paper is to put into readable form proofs of theorems found in G.T. Whyburn's "Analytic Topology" pertaining to this topic in topology. Properties of the decomposition space of point-orbits induced by the iterations of a homeomorphism will compose a major part of the study. Some theorems will be established through series of lemmas required to fill in much of the detail lacking …

A Field Study Of Miscible Displacement In Saturated Soils, Lloyd Dowley Mcfadden Sadler

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Extensive research has been carried out in both field and laboratory to explain water and solute movement under both saturated and unsaturated conditions. The importance of such work is obvious, since any attempt at exploring land reclamation by leaching or nutrient movement in plant feeding (to name only two) is subject to interpretations and theories of moisture flow.

Water flow through soil during reclamation by leaching can be termed miscible displacement since soil water and leaching water do not have a distinct fluid-fluid interface and will physically mix. It is probable that miscible displacement investigations can contribute to an understanding …

Differentiation Between The Ph Effect And The Bicarbonate Ion Effect In Causing Lime-Induced Chlorosis, Hyrum Del Var Petersen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Lime-induced chlorosis has been recognized for many years as a problem where plants are grown on calcareous soils. There are many factors associated with and influencing this form of iron chlorosis and because of this it has been very difficult to determine the relationship between the factors and chlorosis.

An Investigation Of The Range Of A Boolean Function, Norman H. Eggert, Jr.

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this section is to define a boolean algebra and to determine some of the important properties of it.

A boolean algebra is a set B with two binary operations, join and meet, denoted by + and juxtaposition respectively, and a unary operation, complementation, denoted by ', which satisfy the following axioms:

(1) for all a,b ∑ B (that is, for all a,b elements of B) a + b = b + a and a b = b a, (the commutative laws),

(2) for all a,b,c ∑ B, a + b c =(a + b) (a + b) …

Complexing Of Sugars And Polyhydroxy Alcohols With Molybdenum (Vi), Su Chin Kiang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Molybdenum is very important in the life processes of both plants and animals. It acts as a catalyst in promoting and controlling many biological reactions in living cells, but exactly what it does and how it functions are not well understood. In the past because of the obvious complexity of the reactions concerned and the extremely minute quantities of molybdenum involved, its presence was long undetected. Lately, molybdenum has drawn special attention on account of its effects on metabolic processes, particularly of plants. In this regard, molybdenum has been shown to be present in four enzymes: nitrate reductase (JJ), xanthine …

Upper Cretaceous Stratigraphy Of The Central Part Of Utah, Fredric R. Van De Graaff

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Rocks of Late Cretaceous age in the central part of Utah are dominantly elastic. In general, the sediments in the west are of conglomerate and sandstone of continental origin; the sediments in the east are of sandstone and shale of marine origin, These rocks were deposited at or near the western shore of a sea which extended from the Arctic to the Gulf of Mexico. The strand line lay in a general northern direction through Utah with land to the west and marine water to the east.

The Mineral Resources Of The Sevier River Drainage, Central Utah, David T. Sanders

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A survey of the mineral resources, the economic rock products, and the ground-water reserves of that part of central Utah drained by the Sevier River system was undertaken by the author in the fall of 1960 as a continuation of a research project directed toward the stimulation of economic growth in the state of Utah. The project was initiated in 1959 by Dr. Donald R. Olsen and Dr. J. Stewart Williams, who conducted a similar survey of a five county area in southwestern Utah (Olsen and Williams, 1960).

Through a review of existing literature, preliminary field examination of most of …

The Effect Of Chelates On Phosphorus Availability And Mobility, Salah Ahmed Tahoun

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Soil-phosphorus relations and plant-phosphorus relations have attracted the interest of many investigators since Liebig introduced his famous theory about the importance of the mineral matters to the plant in 1840. It was soon realized that phosphorus nutrition was a problem not easily solved for two reasons. 1. The added phosphorus fertilizers, soon after soil application are converted by some reactions in the soil to complex compounds far less soluble, consequently less available to the plant. Conclusions about this process led to controversial debates until it was discovered that a general statement covering all soils was impossible since the reactions involved …

The Influence Of Advective Energy On Evapotranspiration, Mahmoud Abdel Aziz

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Evaporation and transpiration from the soil and plant, respectively, have received increasing attention from those who work with water supply, irrigation, and drainage.

On The Enthalpy And Entropy Of Soil Water, Robert A. Kohl

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Just twenty years have passed since the first papers were published on the application of chemical thermodynamics to the soil-water system (11, 14). Since then, soil physicists have used thermodynamics in an attempt to characterize and learn more about this intricate system.