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Full-Text Articles in Physical Sciences and Mathematics

Aerial Application Of Evaporation-Reducing Chemicals, Development And Evaluation Of Equipment And Techniques, C. Earl Israelsen, Vaughn E. Hansen Jul 1963

Aerial Application Of Evaporation-Reducing Chemicals, Development And Evaluation Of Equipment And Techniques, C. Earl Israelsen, Vaughn E. Hansen

Reports

Aerial applications of both liquid and powder evaporation retardants have been made in parallel strips on large lakes for purposes of comparison. Films formed from powder spread more rapidly than did those from liquid, but usually both films ultimately spread to approximately equal widths and had the same degree of compression as determined with indicator oils. Evaporation retarding materials with large numbers of particles having diameters smaller than 75 microns are greatly affected by the wind. As the chemical is dispensed from the airplane. the fine particles drift with the wind and in some instances are carried onto the land …


Differentiation Between The Ph Effect And The Bicarbonate Ion Effect In Causing Lime-Induced Chlorosis, Hyrum Del Var Petersen May 1963

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. May 1963

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) …


A Field Study Of Miscible Displacement In Saturated Soils, Lloyd Dowley Mcfadden Sadler May 1963

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 …


Topological Groups, Nicolas Anthony Thireos May 1963

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 May 1963

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.


An Investigation Of The Properties Of Join Geometry, Louis John Giegerich Jr. May 1963

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 …


The Lower Devonian Water Canyon Formation Of Northeastern Utah, Michael E. Taylor May 1963

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.


Investigation Of The Properties Of The Iterations Of A Homeomorphism On A Metric Space, Murray B. Peterson, Jr. May 1963

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 …


Nitrite Reactions In Soil, John Otto Reuss May 1963

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 May 1963

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 …


Pressure Dependence Of Soil Water Matric Potential, Bozorg Bahrani May 1963

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 …


Colorado River Storage Project, Glen Canyon Unit, Lake Powell, Area And Capacity Tables, Bureau Of Reclamation; United States Jan 1963

Colorado River Storage Project, Glen Canyon Unit, Lake Powell, Area And Capacity Tables, Bureau Of Reclamation; United States

Elusive Documents

No abstract provided.


Dissolved-Mineral Inflow To Great Salt Lake And Chemical Characteristics Of The Salt Lake Brine: Part 1- Selected Hydrologic Data, D. C. Hahl, C. G. Mitchell Jan 1963

Dissolved-Mineral Inflow To Great Salt Lake And Chemical Characteristics Of The Salt Lake Brine: Part 1- Selected Hydrologic Data, D. C. Hahl, C. G. Mitchell

Elusive Documents

No abstract provided.


Developing A State Water Plan Utah's Water Resources--Problems And Needs--A Challenge, Utah Water Research Laboratory Jan 1963

Developing A State Water Plan Utah's Water Resources--Problems And Needs--A Challenge, Utah Water Research Laboratory

Reports

Of all the natural resources with which Utah has been endowed none is more vital to the social and economic well-being of the people than it water resource. We cannot manufacture water. We have found no acceptable substitute. Not one more drop of water is available for our use today than was available to the pioneers. Yet water uses and water demands have multiplied over the years. Since we can do little to change nature's water allotment to Utah we must learn how to utilize our existing supplies more judiciously. This means devoting increasingly more attention to problems of water …