Physical Sciences and Mathematics Commons^™

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).

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 …

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 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 …

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 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 …

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 …

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.

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.

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 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 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