Digital Commons Network^™

A Study To Determine The Attitudes Of Master's Degree Recipients In Elementary Education Toward Courses In The Required Program At Utah State University, Clifford Russell

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

It was believed by this writer that it would be impossible to establish a degree program which would fulfill the needs of and satisfy all students. For this reason; it was impossible to objectively evaluate the effectiveness of the requirements for a Master's degree. However; it seemed that the opinions of recent degree recipients would provide a primary source of information for evaluating the relative merits of required courses and experiences. The Dean of the College of Education at Utah State University indicated that this important source of information about the Master's degree program in elementary education had been largely …

Measure Theory And Lebesgue Integration, Evan S. Brossard

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The Lebesgue integral is a generalization of the Riemann integral which extends the collection of functions which are integrable.

Lebesgue integration differs from Riemann integration in the way the approximations to the integral are taken. Riemann approximations use step functions which have a constant value on any given interval of the domain corres­ponding to some partition. Lebesgue approximations use what are called simple functions which, like the step functions, take on only a finite number of values. However, these values are not necessarily taken on by the function on intervals of the domain, but rather on arbitrary subsets of the …

A Theorem On Homeomorphic Convergence And Some Applications, Frank J.S. Wang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Borsuk [ 3 ] has given interesting conditions under which a certain function space is separable (see Theorem 3. 1 ). We give a proof for Borsuk's Theorem here and we show how it can be used to establish a useful theorem on homeomorphic convergence. We illustrate the utility of the theorem on homeomorphic convergence by stating and proving several of its consequences.

For example we show that the plane (E²) does not contain uncount­ably many pairwise disjoint contina each of which contains a simple triod (Corollary 4. 1 ). We prove that in an uncountable collection G …

Multiplicative Number - Theoretic Functions, Barney Lee Erickson

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Quite frequently in the study of number theory we become acquainted with special functions which are defined on the set of positive integers. These functions are known as Number-theoretic functions or Arithmetical functions. This report will give some of the general ideas of the multipli­cative number-theoretic functions.

The first part of this report will be devoted to the general develop­ment of such functions by means of definitions and theorems. The second part will consist of generalizations of a particular function, the -r-function.

Throughout this paper, lower case Greek letters will represent real numbers and lower case English letters will represent …

Principal Component Factor Analysis, Herbert H. Jolliff

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Factor analysis came into being around 1900 in the field f psychology to explain theories of human ability. Several methods of factor analysis exist; but according to Harman (1967) principal component factor analysis is unique in the mathematical sense, therefore, quite often the preferred method. The centroid method is computationally easier, and it gives close approximations to the principal component method on some data sets. An example of this is shown in Appendixes B and F by comparison.

Factor analysis is being used in many fields. A few of the fields are sociology, meteorology, political science, medicine, geography, business, economics, …

Computer Analysis Of Consumer Attitude And Consumption Data For Fluid Milk Products, James Reed Fisher

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The American public, with a per capita disposable income currently at an all time high, has become a source of vital concern to dairy market researchers. The unique socio-economic structure of the present generation causes the dairy industry to be concerned with how the consumer view its products. Effective education and advertising programs must be developed to attract the taste and meet the demands of the consumer.

Two factors which greatly influence market research and advertising programs are the attitude of the consumer toward a given product and the relationship of attitude to the degree of actual milk consumption. To …

Numerical Approximation To The Inverse Function Of The Cumulative Chi-Square, T, And F Distribution, Kuo-Chee Liang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In the past, tables have been published for the chi­-square, t and F distributions. These tables have their own limitations with respect to the number of percentage points and degrees of freedom that are applicable. For instance, most tables for the chi-square distribution list tabular chi-square value for probabilities, .995, .99, .975, .95, .75, .5, .25, .1, .05, .025, .01, .005, .001, .0005, .0001 with degrees of freedom (1, 30, 1) and (40, 120, 10). How­ever, suppose we want to know the chi-square value for probability .96 with degrees of freedom 10, or probability .95 with degrees of freedom 35; …

Propositions Equivalent To The Continuum Hypothesis, Bernard L. Bohl

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Two sets A and B are said to have the same power if there exists a one-to-one correspondence between them. All sets which have the same power as the natural numbers are called countable and have power N₀. All sets which have the same power as the real numbers are said to have the power of the continuum will be denoted by 2^N₀, since 2^N₀ can be shown to be equal to c as will be indicated in the preliminary results.

Given an element a of a well-ordered set B, the set of …

Interest As A Factor In Vocational Choice, Leland J. Smith

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

As the complexities of modern life increase, greater caution has to be exercised in the selection of an appropriate vocational choice. Norris, Zeran and Hatch (1960, p. 5) state, "The dramatic changes which have taken place in the world during the past twenty-five years have created new demands on the training programs which furnish the skilled leaders in all vocational pursuits." The foregoing statement certainly points out the vocational implications of our changing society. Mortensen and Schmuller (1951, p. 199) report, "The entire area of interests is today receiving added emphasis." The study of interest continues to occupy an important …

The Effects Of Paternal Absence On Male Children, Martha H. Rigby

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The society in which our children are living and growing today is complicated by strife and conflict both internally and externally . It is a time when statisticians are telling us that 481 out of 1,000 marriages, or nearly one out of every four, will end in divorce; many others will end in separations not legally terminated (Bureau of Census, 1966). Many families are also separated because of the military action which at present is keeping 500,000 men at war in a country many thousands of miles from their families. During the year 1967 over nine thousand of this number …

General Catalog 1968, Correspondence, Utah State University

University Catalogs

General Catalog of 1968 Correspondence

Contains course descriptions, University college calendar, and college administration.

General Catalog 1968, Utah State University

University Catalogs

General Catalog of 1968

Contains course descriptions, University college calendar, and college administration.

General Catalog 1968, Graduate, Utah State University

University Catalogs

General Catalog of 1968 Graduate

Contains course descriptions, University college calendar, and college administration.

Water Quality Telemetry First Annual Progress Report, Duard S. Woffinden, Allen D. Kartchner

Reports

No abstract provided.

Feasibility Of Rating Current Meters In A Velocity Field, Gaylord V. Skogerboe, Lloyd H. Austin, Roland W. Jeppson, Chi-Yuan Wei

Reports

Preliminary studies employed an 8-inch (outlet diameter) contracting cone and an 8-inch converging nozzle. The design of the cone is based on an electromagnetic analogy reported by Smith and Wang, while the nozzle was designed assuming potential flow and using numerical methods to obtain the solution. Both designs yielded fairly uniform velocity fields, any deviations being primarily due to either construction or measurement techniques. The towing tank rating for a Pygmy current meter was compared with the submerged jet rating, the difference being 1 or 2 percent. A Prototype system was constructed using a 16-inch contracting cone (d). Two Type …

Solutions To Axisymmetric Seepage From Ponds Through Homogeneous And Nonhomogeneous Porous Media, Roland W. Jeppson

Reports

No abstract provided.

Hydraulic Characteristics Of A Modified Venturi Section, Muhammad Aslam Rasheed

Reports

The measurement of water in open channels on extremely flat grades is difficult because of the head loss that is necessary. A modified venture section, the contraction of which is provided by a top cover section mounted in a rectangular flume, is proposed to meet the requirements of a suitable measuring device for use in canals of flat gradients. The method of finite differences has been used for the mathematical solution to the idealized inviscid flow problem. This was followed by a laboratory investigation to ascertain the hydraulic characteristics of the proposed design. The experiments were conducted in a 3 …

Water Resources Research - A Challenge To The Social Scientists, Dean F. Peterson

Reports

No abstract provided.

Linear Programming With Random Requirements, Nak Je Kim

Reports

Linear programming was first developed by George B. Dantzig, Marshall Wood, and associates of the U.S. Air Force, in 1947. At that time, the Air Force organized a research group under the title of project SCOOP (Scientific Computation of Optimum Programs). This project contributed to the developing of a general interindustry model based on the Leontief input-output model, the Air Force programming and budgeting problem, and the problems which involved the relationship between two-person zero sum games and linear programming. The result was the formal development and application of the linear programming model. This project also developed the simplex computational …

Air Pollution Control And Abatement Proceedings Of A Symposium, Allen D. Kartchner

Reports

No abstract provided.

A Conceptual Model Of The San Pitch River Basin, James D. Ballif

Reports

To meet future expected needs for water, the State of Utah will have to plan and manage its limited resources in a judicious manner. Comprehensive water resources planning on a river basin basis is necessary to economically plan and develop the best combination of water uses. Efficient use and management of agricultural water is necessary to maximize the amount available for future needs. Irrigation water management must be improved. Improvements in the organization, storage, distribution, and method of application will be required to meet future demands. Consideration should be given to various combinations of conjunctive use of groundwater and surface …

Atomic Absorption As An Index Of The Silver Concentration In Precipitation, Silver Iodide Plume Studies, Part 1, Joel E. Fletcher, H C. Millar

Reports

The Perkin Elmbver Model 303, equipped with the DCR-1, digital concentration readout, was evaluated as to its ability to provide an index of silver concentration in water solutions, without concentrating in any manner. The procedures, principal settings, and adjustments which must be observed are described.

This instrument can detect the difference between concentrations of 10-15 and 10-12 gm/ml. However, as the concentration of silver decreases the experimental error increases to a point at which the error becomes greater than the differences in readout due to differences in silver concentration.

Topic From Galois Theory, Pai-Yuan Chang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Galois theory constitutes an excellent introduction group theory and field theory and provides a strong motivation for the introduction of the basic concepts of abstract algebra. This paper explains the basic theory and describes how it is applied to prove the unsolvability "by radicals" of equations of degree n >= 5.

Food-Related Movements And Incidental Observations Of The Cliff Chipmunk, Eutamias Dorsalis, Eugene Blake Hart

Biology

Field work for this study was performed at the Beirdneau Cliffs, Logan Canyon, Utah, during May, June, and July, 1965 and 1966. Life history observations and data on the Cliff Chipmunk are presented and discussed. Summaries of seven "sub-seasonal" ranges are presented, based upon frequency of use of eight major preferred food plants.

A Study Of Input-Output Adjustments, Charles W. Briggs

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The effects of using the United States input-output table to explain Israel's economic structure was studied, by comparing price data generated on the basis of the U. S. tables and prices observed in the two countries. A substantial difference between prices generated and observed led to the conclusion that the technological structure of the United States cannot be used to approximate Israel's structure.

Various adjustments were then applied to the United States coefficient matrix to determine if it could be transformed into a new technological structure which would more closely approximate Israel's economy.

Significant improvements were noted by three of …

Evaporation And Evapotransipration In Venezuela, Hidalgo Guillén Echeverría

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Equations and tables for estimating Fuess evaporation from climatological data were developed. Ten years of average records from 22 stations in Venezuela were analyzed in order to develop the equations.

Mathematical regression analysis, and plotting and computer programs were used to work out the equations. The form of the final expression for estimating Fuess evaporation is as follows:
Ev = K C_RC_TC_WC_HC_DTC_SC_M
Pan evaporation was computed using the Christiansen, Mathison, Blaney-Criddle, Hargreaves, Penman, and Kohler formulas. The computed pan evaporation from these formulas, measured Fuess evaporation, and …

Development Of A Drainage Function For The Transient Case, And A Two-Dimensional Ground-Water Mound Study To Evaluate Aquifer Parameters, Seid Abdollah Jenab

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A drainage function, D (u_n), is developed to describe the rate of fall and the shape of the water table between drains for an infinite series of parallel drains. The drainage function is evaluated and presented graphically for design purposes. The solution of the drainage function is compared with the solution of Glover's transient state drainage equation. The two equations agreed very well, but the agreement was not as good for very high values of √(4αt)/ L.

The drainage function, D (u_n ), was solved for the point midway between drains and the solution was presented graphically …

Estimation Of Incoming Radiation From Extraterrestrial Radiation And Climatic Data, Rodrigo H. Pizarro

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Average monthly values of incoming radiation, extraterrestrial radiation, sunshine, and sky cover frorn 32 climatological stations in the United States were used as a basis to develop radiation equations.

Empirical relations between incoming radiation and more commonly available climatic and geographic variables, such as percent of relative sunshine, mean daily sky cover, station elevation and extraterrestrial radiation, were established using an empirical procedure used by Christiansen (1966, 1967) to compute his evaporation and evapotranspiration formulas.

The reliability of the equations developed was deternlined by comparing the computed values of incoming radiation with measured values at Davis, California and for the …

Simulation And Analysis Of Stream-Aquifer Systems, Morton W. Bittinger

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

As defined for this study, a stream-aquifer system is a hydrologic system in which there is an intimate hydraulic interrelationship between one or more aquifers and a perennial stream. The objectives of this study are to better understand the response behavior of typical stream-aquifer systems, to look at the response behavior as influenced by water management practices, and to consider the problems and possibilities of integrated management of groundwater and surface water supplies within stream-aquifer systems.

A brief history of water development practices and policy, particularly in the Western United States, indicates that the tendency over the years has been …

Control Of Behavior Through Reinforcement Menus, Gary Lyndle Holt

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Reinforcement menus were used to change response probabilities while maintaining control over two ''trainable," female, mentally retarded children.

An empirically determined reinforcement menu representing high probability behaviors, five for S₁ and four for S₂, was used in a contingency management system. Instructions were given concerning the contingencies for obtaining reinforcement. Subjects were allowed the opportunity to engage in a high probability behavior only after successful completion of fixed units of reading or arithmetic tasks. After stable performance was established, four additional menus were prepared to approximate in increasing degree, low probability behavior. Measurements were taken of task …