Physical Sciences and Mathematics Commons^™

Movement Of Atrazine In Soil Under Furrow Irrigation, Jyothi Veerabhadrappa

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Movement of atrazine in response to furrow irrigations was studied using the samples of Timpanogos silt loam soil. Distribution in soil profile of surface applied herbicide was determined by drawing samples of water extracts through porous cylinders. Atrazine quantity was determined by spectrophotometer.

It was observed that the herbicide found in the water extracts was an indication of the quantity present in the soil. The herbicide moved readily with the applied water. Irreversible thermodynamic model could not be applied because of the initial and final boundary conditions. The pattern of movement was in conformity with the chromatographic theory.

A Logistic System Simulation Model Encompassing Poisson Processes And Normal Or Weibull Life, Willard A. Hansen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This thesis describes a computer simulation model for determining effective spares stock levels for recoverable items at Air Force bases and depots. The simulation model is based on the following fundamental inventory theory; whenever a demand arises, it is satisfied from stock on hand, and the quantity equal to that demand is recorded immediately; when a demand exceeds stock on hand, the excess demand is backordered immediately and when item life expires procurement action is initiated at depot level. The resulting product of the model cam be used as a guide for the optimum distribution of available spares or as …

A Density For A Generalized Likelihood-Ratio Test When The Sample Size Is A Random Varible, Raymond H. Neville

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many articles, books, papers, and abstracts have been published, which describe the analysis and design of experiments. R. A. Fisher's (1951) book, The Design of Experiments, is referred to by D. J. Finney (1960) as the classic for experimental designs. Some of the more outstanding books and publications in this area are those by Cochran and Cox (1957), Cox (1958), Davis et al., (1954), Federer (1955). Quenouille (1953). and Kempthorne (1952).

Stratigraphy Of The Laketown Dolostone, North-Central Utah, David R. Budge

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The main objective of the present study is to provide a greater understanding of the strata referred to as the Silurian System in north-central Utah and southeastern Idaho and to serve as a basis for comparative regional studies in Silurian stratigraphy. It may be properly classified as a detailed reconnaissance of limited areal extent involving a single stratigraphic unit. It is based on field work done intermittently during the summer months of 1963-65 and laboratory and library work accomplished during the intervening winter months.

Review Of Reliability Techniques, Eugene Richard Doherty

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In the development of any product to perform a specific function the first concern of the engineer is to design for satisfactory operation. Engineers originally approached the reliability problem by using excessive safety factors to be assured the structure or material would withstand the calculated loads and stresses. The engineer also learned from operating or testing the equipment until failures occurred and then redesigning as mistakes became apparent. These methods were time consuming and often resulted in bulky over designed products. These approaches became impractical with the advent of new technological advancements. The accelerated industrial development of aircraft, missiles, and …

Probable Circular Error (Cep) Of Ballistic Missiles, James Edward Moran Jr.

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The survival of our nation, during a nuclear exchange, depends upon an effective national defense structure. The prime weapon system in this defense structure is the ballistic missile. Although many factors enter into an evaluation of the effectiveness of a ballistic missile, one of the most important measure is accuracy. Without an accurate weapon system we have no weapon system.

The Department of Defense has places emphasis on using a method of accuracy evaluation called "Probably Circular Error (CEP)." Probably Circular Error is defined as "The radius of a circle, centered at the intended target, within which 50% of the …

A Monte Carlo Study Of Non-Linear Regression Theory, Ya-Ming Liu

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Multiple regression provides the capability of using non-linear functions to fit various curvilinear surfaces. These non-linear functions are, however, linear in the parameters. Non-linear term of the variables such as X², X³, ln X, X, YX are incorporated in a linear model. For example:

Y = b₀ + b₁ x₁ + b₂ x₁² + b₃ lnx₂ + ϵ

Many practical situations require the fitting of mathematical functions which are non-linear in the parameters and perhaps the variables. For example:

Y = b, e^b₂X + ϵ

Nitrification In Three Different Soils In Polyethylene Bags In The Field Overwinter, William R. Olmstead

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Nitrification, the process whereby ammonical-nitrogen (NH₄⁺ - N) is changed into nitrate-nitrogen (NO₃^--N), is one of the more important biochemical processes associated with agriculture. Nitrate appears to be the form of N that most crops can most readily utilize.

The Effect Of Soil Adsorbents On The Thermodynamic Properties Of Soil Water System, Taghi Manbeian

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

It has been generally recognized that the surface phenomena of the solid particles such as shrinking and swelling, water- holding capacity, water' movement, and cation exchange are important in understanding the physical properties of the soil. Clay is the most prevalent material in the colloidal fraction of many soils. Because of the complex nature of the surface of clays and the small size of the particles, the direct study of surface phenomena is difficult. Thermodynamic functions change in accordance with changes and organization within the system. Thus, an examination of the thermodynamics of surface phenomena provides some understanding of the …

The Influence Of Soil Moisture Regimes And Atmospheric Environments On Transpiration And The Energy Status Of Water In Plants, Sampatrao A. Gavande

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Plant responses to different soil moisture regimes have been extensively studied. Because of interactions between the soil, plant and climatic factors, few convincing generalizations concerning the influence of soil water on the transpiration of water by plants have been established. Generally single factors or at most the interaction of two have been studied at any one time. Useful theories describing the conditions of water retention in plant tissues and movement of water through plants have been proposed. Equally useful theories have been suggested for describing the retention and transmission of water in soil. The integration of these theories and their …

Simultaneous Movement Of Water And Herbicides In Unsaturated Soils, Ming-Shyong Yang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Since weed killers were developed in the early part of the decade beginning in 1940, herbicides have been increasing in use until they are now widely used to control weeds. The application of herbicides has thus become a regular agricultural and ecological practice.

Simultaneous Flow Of Heat And Water In Plant Tissue, Gaylon Sanford Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Although biological phenomena may be partially described in a general way without the use of mathematics and physics, the experimental results may be more meaningful if they are analyzed on the basis of physical and mathematical laws. The complexity of biological systems has made the application to them of mathematics and physics rather difficult, and only recently has much progress been made. Although it has yet been possible to describe only a few simple biological systems by actual equations, a great deal of qualitative information may be obtained by applying physics and mathematics. Russell (1960, p. 439) said

In principle …

The Influence Of Organic Matter And Ph On Transformations Of Nitrites To Elemental Nitrogen, Mohammad A. Rashid

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Nitrogen occupies an important and prominent place in plant and animal nutrition. Large quantities are required by plants and must be available in the soil. Recently the use of nitrogenous fertilizers has increased manyfold. In view of the importance of this element in crop production, even greater use is anticipated in the coming years. In order to make full use of the applied nitrogen, continued investigations of soil-nitrogen relationship are imperative; however, this element presents many complex and challenging problems to investigators.

Movement Of Phosphorus In Soils As Influenced By Chelates And Soil Types, Abd-Elmonem Sayed-Ahmad Mostafa

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The problems of phosphate fertilization have attracted the attention of agronomists, nutritionists, and other biological scientists due to the importance of phosphorus in animal and plant nutrition. However, the fundamental behavior of phosphorus in soil systems is not well understood. Because of its far-reaching effects, a solution of a portion of this problem is of importance.

The Course Or Behavior Of Applied Zinc To Soil Containing Different Levels Of Freshly Applied Organic Matter, Artnel Samuel Henry

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Soil organic matter consists of a heterogenous mixture of plant, animal, and microbial material in various stages of decomposition. It possesses characteristics which at present are not very well known. Careful studies have been directed towards the behavior of organic matter as it affects plants directly and man indirectly. Consequently, much tire is devoted to its study from the point of metal inactivation and chelation, the earlier investigations failed to produce results worthy of the efforts expended, so a loss of interest in the continued pursuit of knowledge resulted, about two decades ago when it was learned that many polyvalent …

Nature Of Non-Biological Decomposition Of Nitrite In Acid Media, Mukkatira Kariappa Mahendrappa

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Curiosity is the cause of investigations, and the thirst for knowledge originates from it. Many times at the end of investigations, the number of questions raised are greater than those for which answers are sought. Therefore, all the information gathered through scientific investigations may not be of value for immediate application in practical life. Nevertheless, no research can be considered less important than the other because the integration of several scientific findings considered less less important at the time of investigation may reveal something of very high significance. Similarly, the study of various transformation reactions that the added fertilizers undergo …

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.

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 …

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.

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 …

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 …

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 …

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 …

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 …

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, …

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.

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 …

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.