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Multivalue Methods, Clayton V. Henrie

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

Methods of solving ordinary differential equations with initial conditions are of a great importance to engineers and scientists. Many of these equations can be solved by well-known analytical techniques, but a greater number of physically significant differential equations cannot be so solved. Thus, the solutions of these equations must be approximated numerically. It is the purpose of this paper to investigate the techniques used in solving differential equations with initial conditions by "multivalue methods."

Multivariate Analysis Of Variance For Simple Designs, Yin-Yin Chen

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

The analysis of variance is a well known tool for testing how treatments change the average response of experimental units. The essence of the procedure is to compare the variation among means of groups of units subjected to the same treatment with the within treatment variation. If the variation among means is large with respect to the within group variation we are likely to conclude that the treatments caused the variation and hence we say the treatments cause some change in the group means.

The usual analysis of variance checks how far apart the group means are in a single …

Discriminant Function Analysis, Kuo Hsiung Su

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

The technique of discriminant function analysis was originated by R.A. Fisher and first applied by Barnard (1935). Two very useful summaries of the recent work in this technique can be found in Hodges (1950) and in Tosuoka and Tiedeman (1954). The techniques have been used primarily in the fields of anthropology, psychology, biology, medicine, and education, and have only begun to be applied to other fields in recent years.

Classification and discriminant function analyses are two phases in the attempt to predict which of several populations an observation might be a member of, on the basis of multivariate measurements. Both …

An Evaluation Of Bartlett's Chi-Square Approximation For The Determinant Of A Matrix Of Sample Zero-Order Correlation Coefficients, Stephen M. Hattori

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

The single equation least-squares regression model has been extensively studied by economists and statisticians alike in order to determine the problems which arise when particular assumptions are violated. Much literature is available in terms of the properties and limitations of the model. However, on the multicollinearity problem, there has been little research, and consequently, limited literature is available when the problem is encountered. Farrar & Glauber (1967) present a collection of techniques to use in order to detect or diagnose the occurrence of multicollinearity within a regression analysis. They attempt to define multicollinearity in terms of departures from a hypothesized …

The Computation Of Eigenvalues And Eigenvectors Of An Nxn Real General Matrix, Yeh-Hao Ma

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

The eigenvalues of the matrix eigenproblem Ax = λx are computed by the QR double-step method and the eigenvectors by inverse power method.

The matrix A is preliminarily scaled by the equilibration and normalization procedure. The scaled matrix is then reduced to an upper-Hessenberg form by Householder's method. The QR double-step iteration is performed on the upper-Hessenberg matrix. After all the eigenvalues are found, the inverse power method is performed on the upper-Hessenberg matrix to obtain the corresponding eigenvectors.

The program consists of five subroutines which is able to find real and/or complex eigen value/vector of an nxn real matrix.

Multiple Uses Of Utah Irrigation Canals: Cache County As A Case Study, James J. Kennedy, Komain Unhanand

Reports

Irrigation use is an obvious benefit of Utah canals that has been recognized for over 100 years. This study attempts to illustrate other, less obvious, uses. the major use examined was recreational, but canals are presently functioning as storm drainage systems and have potential for diverting flood crests in many river systems.

Recreational use of canals falls into two categories. There is passive use such as its landscape values, affects on creating shade and bird-wildlife habitat, etc., that is difficult to quantify but no less important than active canal use such as tubing, hiking, bank-play, bicycling, etc. We selected several …

Development And Preliminary Application Of Mathematical Models To The Weber Basin, W. J. Grenney, D. S. Bowles, M. D. Chambers, J. P. Riley

Reports

The adoption of stream standards, whether for direct application or for the establishment of realistic effluent standards, creates a need to predict the impact of pollution loads on river water quality during critical flow periods or as the result of future user demands. Because of the complexity of aquatic systems, mathematical models are an excellent medium for bringing together the state-of-the-art knowledge from a variety of disciplines into a form which can be readily applied to practical problems. Applying a mathematical model to a river system has the added advantage of providing a structure for the systematic consideration of the …

Food, Nutrition, And Health, Problems And Prospects, D. K. Salunkhe

Faculty Honor Lectures

Food, nutrition, and health - and their complex interrelationships - are necessities of life. Basically, nutrition depends on food; health depends on nutrition. Everyone needs to have enough good quality food to sustain himself. Satisfying that need on a world basis must be of concern to each of us.

Although accurate data are lacking, it is estimated that more than two-thirds of today's world population is afflicted by hunger and/ or malnutrition. Almost 300 million children are suffering physical and, probably, mental damage because of insufficient food. This evidence points to one of two conclusions: we have either too many …

Water Salvage Potentials In Utah, Volume I. Open Water Evaporation And Monolayer Suppression Potential, Trevor C. Hughes, E. Arlo Richardson, James A. Franckiewicz

Reports

An estimate of the potential in Utah for evaporation suppression by the monolayer film method is presented. The model estimates evaporation suppression as a function of wind speed, a four parameter exposure factor, and reservoir size. The estimated suppression factors vary from 0 to 30 percent and average 11 percent of the statewide total annual evaporation. Estimates of May to October evaporation and suppression potential are calculated for each of the 227 impoundments in the surface water inventory. A forthcoming report in this series will examine the potential for evaporation suppression by thermal destratification. This procedure, which is already being …

Seed Reserves In Desert Soils, David W. Goodall, Suzanne J. Morgan

Memorandum

Soil and litter samples were collected from the playa, playa fringe and bajada zones of the Jornada Validation Site. These samples were analyzed for their seed content, special attention being paid to spatial distribution. At the time of sampling, there was little litter on the soil surface, and the litter contained only a small proportion of the total seeds present.

Role Of Cytoplasmic Microtubules In The Control Of Normal Spermiogenesis In Drosophila Melanogaster, Richard F. Wilkinson Jr.

Biology

An experimental study was conducted to determine the role of cytoplasmic microtubules in normal spermiogenesis of Drosophila melanogaster. An earlier study of mutant ms(3)10R of Drosophila presented evidence that suggested a direct role of cytoplasmic microtubules in sperm development. This finding provided some direction toward the clarification of currently controversial and conflicting hypotheses; are cytoplasmic microtubules necessary subcellular organelles during sperm maturation? These conflicting hypotheses are particularly opposed on the role of microtubules in the normal modeling of the sperm nucleus. One hypothesis states that cytoplasmic microtubules around the nucleus ("manchette" microtubules or nuclear-sheath microtubules) apply a modeling …

A Comparison Of Sampling Techniques For Characterization Of Desert Communities, Constance V. Braun

Biology

An enumeration of a 0.99 ha plot of Southwestern Desertscrub, Lower Sonoran, paloverde-sahuaro perennial vegetation in Arizona contained 1690 individuals in 13 species providing a coverage of 21 percent of the area. Analysis of the enumeration plot by Importance Values (relative frequency + relative density + relative cover dominance) shows that Larrea divaricata and Ambrosia dumosa are the co-dominants in the community, constituting 60 percent of all individuals present. The area was sampled in the field by three methods: point-quarter, line-intercept and quadrats. Point-quarter (90 points) estimates dominance more accurately (10-15 percent error) than density (21 percent). The line-intercept method …

Comparison Of Transition Matrices Between Metropolitan And Non-Metropolitan Areas In The State Of Utah Using Juvenile Court Data, Sung-Ik Song

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this paper is to use Markov Chains for the study of youths referred to the juvenile court in the metropolitan and non-metropolitan areas of the state of Utah.

Two computer programs were written for creating case histories for each person referred to the court and for testing for the significance of the difference among several transition matrices.

Another computer program, which was written by Soo Hong Uh, was used for analyzing realizations of a Markov chains up to the 4th order; a third computer program, originally written by David White, was used for interpreting Markov chains.

The …

Consumer Surplus And Economic Rent Estimates Of Recreation Value: An Empirical And Theoretical Comparison, Eric R. Meale

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The consumer surplus and economic rent methods of resource valuation were applied to boating recreation in Utah. Total consumer surplus and economic rent values were estimated for twenty-four boating sites. These values incorporate the relationship existing between the variable use cost and the units of activity associated with the site.

Data were collected by a mail survey directed to boaters during the 1973 boating season. Approximately 1,408 questionnaires were analyzed. Additional data were collected from the Utah Division of Parks and Recreation.

Economic rent and consumer surplus were compared by using a common mathematical model and empirical observation. The concepts …

Finite Difference Solution For Drainage Of Heterogeneous Sloping Lands, Fahd Salih Natur

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The two-dimensional problem of tile drainage on sloping heterogeneous lands was considered. The land surface and the impermeable boundaries of the problem were of a general shape. The flow in both the saturated and unsaturated zones was considered and the system was treated as one composite system. The problem was solved by a finite difference numerical method using the successive over-relaxation iterative (SOR) method for the steady state case with no local recharge, and a combined Newton inner iteration and successive over- relaxation outer iteration for the transient state case with local recharge. Both the rising water table and the …

An Economic Analysis Of Demand And Supply For Irrigation Water In Utah: A Linear Programming Approach, Mark Holland Anderson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Water provides the lifeblood of Utah's agricultural economy. It Is the subject of much controversy and litigation and yet most opinions on the subject are based on opinions and prejudice rather than upon the basis of sound scientific examination. This paper attempts to provide some of the economic information necessary for sound decisions in the development and use of Utah's water resources with respect to agriculture.

Utah has been divided into ten drainage regions (hydrologic subregions) and the presently irrigated and potentially irrigable land according to land class was estimated for each county or portion of a county within each …

A Longitudinal Study On The Effects Of Stopping Out, Robert Dean Smith

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Inquiries have been made by the Carnegie Commission on Higher Education and the United States Department of Health, Education, and Welfare to determine how colleges and universities could meet the financial crisis now being faced. One of the recommendations made by both agencies as a result of their investigations was that curriculum planners at these institutions provide students with opportunities to have off-campus experiences, preferably in their chosen career areas, before they are graduated to determine whether they want to pursue their studies in that area or reorient themselves to other options. These planned stopouts, they suggested, would curtail drifting …

Intraregional Efficiency Of Production Decisions And Interregional Efficiency Of Input Use In Bolivian Agriculture, Stephen C. Hammond

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The main objectives of this study were to analyze the efficiency with which Bolivian farmers utilize productive resources as they combine them in crop production and to examine the possibility of interregional resource immobility in the production of agricultural products.

Bolivia was divided into seven distinct production regions called departments. A linear program maximizing model was generated for the major crops produced in each department. Land, labor, irrigation, and capital were the input coefficients used in the models. They produced a net return to management, land, and fixed costs associated with land. The linear program using these coefficients generated the …

Influence Of Soil Water Potential And Environment On The Internal Water Status Of Grasses, Ray W. Brown

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The water relations of two grass species, smooth brome (Bromus inermis Leyss.) and intermediate wheatgrass (Agropyron intermedium (Host) Beauv.), were studied under a range of environmental conditions in a growth chamber. The environmental conditions included three temperature regimes (day/night temperatures of 15/10, 20/15, and 25/20 degrees centigrade), and three vapor pressure deficits within each temperature regime (6.2, 8.8, and 11.4 millimeters of mercury). Short wave radiation was maintained at 0.5 calories per square centimeter per minute with a 14 hour photoperiod, and wind speed was constant at 45 centimeters per second.

Six plants of each species were studied …

Environmental Analysis Of The Upper Cambrian Nounan Formation, Bear River Range And Wellsville Mountain, North-Central Utah, Larry L. Gardiner

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Nounan Formation in north-central Utah thickens northward from 696 feet near Causey Dam to 1147 feet at High Creek in the Bear River Range, and northwestward to 1149 feet at Dry Canyon in Wellsville Mountain. The basal contact of the Nounan Formation is sharp, but dolomite extends irregularly downward into limestones of the Bloomington Formation as much as 6 feet.

The Nounan Formation is divided into three members based on lithologic characters: (1) a lower member composed of dark, medium-crystalline dolomite; (2) a middle member composed of white, coarse-crystalline dolomite with tongues of dark dolomite; and (3) an upper …

Phosphate Exploration And Property Evaluation In Southeastern Idaho, Illustrated By The Dry Valley Area, James Simon Spalding

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The western phosphate field produced about 15 percent, in 1970, of the nation's domestically consumed phosphate rock and contains an estimated 58 percent of the nation's indicated phosphate reserves. The central portion of the western phosphate field, which contains the Dry Valley area of southeastern Idaho, encompasses the greatest amount of mineable phosphate reserves in the smallest geographic area within the western field.

Exploration of properties in the area should follow an orderly sequence of literature search, area reconnaissance, detailed target appraisal, and detailed three-dimensional sampling to effectively evaluate each property. Present exploration techniques include topographic analysis, vegetative investigation, profile …

Nutrition Of Sheep Grazing Foothill Big Game Range In Spring, Kurt J. Kotter

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Sheep with esophageal fistulas were used to determine the daily intake, nutritive content and digestibility of forage at three periods and two stocking intensities during the spring of 1972 on a typical foothill range in northern Utah.

Heavy grazing under a season-long regime did not influence the concentrations of dietary chemical components when compared to moderate grazing; however, it did depress the digestibility of cellulose and organic matter. There was a significant decline in the dietary chemical components due to forage maturation. Digestibility of organic matter and cellulose were significantly higher in the early spring as compared to late spring. …

An Evaluation Of In-Stream Structures Designed To Provide Fish Habitat, Charles H. Call Jr.

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In-stream concrete structures were studied through model tests and river tests. The model studies indicated that four designs provided good habitat in the model stream. These structures were the inverted weir, the "V" structure, the slab with legs and the cylinder. Through the river studies it was determined that these structures did not influence enough of the total river area to be effective in providing good fish habitat. Also an appreciable amount of yearly maintenance would be required to free the structures from silting in, debris, and vandalism. The slab with legs was the only promising structure.

The Dynamics Of Root Growth And The Partitioning Of Photosynthates In Cool Desert Shrubs, Osvaldo Alberto Fernandez

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study addresses the nature of physiological and phenological evolutionary strategies of root growth dynamics and energy allocation followed by Atriplex confertifolia, Ceratoides lanata, and Artemisia tridentata growing in their natural cool desert environment.

Root observation chambers with inclined Plexiglass windows were installed in monospecific desert communities of Atriplex confertifolia, Ceratoides lanata and Artemisia tridentata. Soil temperature and water potential measurements taken immediately adjacent to the observation windows indicated a minimal disturbance was caused by the presence of these chambers. For the three species initiation of root growth was observed before initiation of shoot activity, furthermore, active root growth extended …

A Study Concerning Sources Of Information And Knowledge About Fluoride In Logan, Milford, And Helper, Utah, Marilyn Lorraine Geddes

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A considerable amount of research has been conducted concerning the characteristics of people who are in favor of fluoridation. However, there is little information available as to what the electorate really knows about fluoride when they are forced to vote on this scientific issue.

Thus, the objectives of this study were to determine the general public's level of knowledge about fluoride, to discover what sources of information have been the greatest influence on their opinion and knowledge about fluoride, and to estimate the level of participation of dentists, general practitioners, pediatricians, and gynecologists in the education of Utahns about the …

Relationship Between Opinions Toward Fluoridation And Socioeconomic Status Of Salt Lake City Residents, Craig D. Kunz

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of the study was to determine if a relationship exists among opinions toward fluoridation of public water supplies, income, and level of education of the people of Salt Lake City, Utah. There were also two secondary concerns. One was to determine if a relationship exists between opinions toward fluoridation and other controversial social issues. The issues identified for investigations were: (1) the Supreme Court decision on abortion, (2) the Equal Rights Amendment, and (3) capital punishment. The second was to determine the factors on which opinions regarding fluoridation were based.

The results of the data that was collected …

A Study Of The New Sodia Program In Elementary Teacher Education At Utah State University, Larry D. Klein

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study was designed to compare elementary teacher preparation programs at Utah State University as a basis for evaluation of the SODIA program. SODIA is the acronym for a new elementary teacher preparation program initiated in the Fall of 1972 which was designed to be field centered and competency based.

The population of the study consisted of 104 elementary student teachers enrolled in student teaching during Fall and Winter Quarters of the 1973-74 academic year. There were four groups identified by the type of preparation program they had experienced. The groups were SODIA (the new program for preparing elementary teachers), …

A Theoretical Proton-Proton Pair Production Cross-Section Calculation, Jay W. Phippen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The calculation of both electron-pair and muon-pair production cross-sections was made using Feynman's quantum electrodynamics. Pseudo-scaler coupling was used between the nucleons and vector coupling was used between the photon and the Fermions. The protons were considered as Dirac particles and radiative corrections were omitted.

Eight fourth-order Feynman-Dyson diagrams were used. The subsequent sixty-four TRACES were reduced to seven basic topologically different TRACES. From the seven basic TRACES, it was possible to generate the sixty-four TRACES by the proper permutations of the variables.

With the mathematics and the corresponding computer programs written down, data (energies and momenta which represent the …

A Comparative Analysis Of The Use Of A Markov Chain Versus A Binomial Probability Model In Estimating The Probability Of Consecutive Rainless Days, Jack Wilfred Homeyer

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Markov chain process for predicting the occurence of a sequence of rainless days, a standard technique, is critically examined in light of the basic underlying assumptions that must be made each time it is used. This is then compared to a simple binomial model wherein an event is defined to be a series of rainless days of desired length. Computer programs to perform the required calculations are then presented and compared as to complexity and operating characteristics. Finally, an example of applying both programs to real data is presented and further comparisons are drawn between the two techniques.

The Implementation Of Career Education In The General Business Classes Of Cache County Junior High Schools, Katie Graham

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

Career education is the goal of the seventies; the direction education will take, and the force that can give new meaning to all teaching techniques and classroom Instruction. More significantly, career education is the new power that can change for the good the lives of all students by assuring that every young person completing high school would be ready to either enter higher education or to secure useful and rewarding employment (17, p. 21). However, as emphasized by May, career education is on the launch pad and the count down has started, but the ultimate responsibility for getting career education …