Physical Sciences and Mathematics Commons^™

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

Reports

No abstract provided.

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.

The Alignment Procedure Of A Two Crystal Spectrometer, Jay W. Phippen

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

For the sake of completeness, it was felt that a brief resume' of x-ray scattering theory as it affects the alignment procedure of a two crystal spectrometer would be beneficial.

X-ray diffraction from a single crystal slab.

W. L. Bragg (1912) tried the experiment of reflecting a beam of x-rays from the cleavage surface of a crystal and found on the photo-graphic plate a spot at the angle of reflection. He then replaced the photo graphic plate with an ionization chamber which he mounted so that it could be rotated about the axis upon which the reflecting crystal is …

Linear Coordinate Systems And Statistical Independence And Vector Spaces And Linear Statistical Models, James B. Mcdonald

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

The object of this report is an investigation of statistical independence and linear coordinate systems. It is hoped that this report will give some background for an ultimate investigation of independence and non­linear coordinate systems using tensor analysis.

An additional basic objective is to obtain explicit algebraic expressions for different types of linear trans- formations.

The first concepts to be covered are arbitrary linear transformations, various ways of looking at linear transformations, and the effects of a linear transformation on a vector of normally distributed random variables.

Next orthogonal transformations to independence, and then oblique transformations to independence will be …

Estimation Of Parameters Of Normal Populations From Truncated Samples, Kuo-Chung Liang

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

In statistical experiments, if a random sample of items drawn from a population is tested until all items fail, conventional statistical techniques may be employed but normal frequency distributions may not be satisfied. Failure of the data to satisfy the assumption of normality may lead to an invalid result. Some statistical results, however, have been shown to be robust to the failure of the data to meet normality. When using conventional experimental methods, considerable time and money are required to produce failure of all samples. To be economical, many experiments are concluded before all test items fail. A sample obtained …

The Interaction Between Water Movement, Solute Uptake, And Respirational Energy In Plant Roots, Mohamed Sadek Tawakol

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Sunflower plants (Helianthus annus, var. Russian mammoth) were grown in Hogland nutrient solution. The roots (after being subjected to treatments with either respiratory inhibitors or respiratory stimulators) were used to measure the flux of water J_w, flux of solute J_s , and the rate of respiration Jo.

The thermodynamic theory of irreversible processes was used to examine the interaction between fluxes, and the changes in conductivity under different treatments. The rate equations for a root membrane of unit thickness were developed as:

J_w = L_wwV_w∆p + L_wsRT ln …

Topics In Semigroups, Merlin Ray Jenson

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

The semigroup theories of fundamental importance were discovered in 1928 with the publication of a paper by A. K. Suschkewitsch. The paper is included in the only book published prior to 1961 dealing primarily with the algebraic theory of semigroups. The book written by the above author and published in 1937 is entitles "The Theory of Generalized Groups."

Since 1940 the number of papers on semigroups has increased to approximately 30 per year. Thus we find ourselves in the midst of a new and expanding area of mathematics. Our interest centers around the structure of semigroups and their representation by …

Numerical Approximations To The Cumulative Chi-Square Distribution, The Cumulative T-Distribution And The Cumulative F-Distribution For Digital Computers, Grace Yuan-Chuen Wang

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

There are good tables of the frequently used cumulative frequency distributions. These tables have some limitations with respect to the number of percentage points that are available. The main drawback in computer usage of these tables is that large amounts of storage and elaborate search and interpolation techniques are necessary for their use.

It is the purpose of this study to present associated numerical methods for digital computer which are satisfactorily accurate and which are reasonably economical in both time and machine memory capacity. To carry out this objective the following procedures were used:

1. A review of literature on …

The Influence Of Thermo-Gradients Upon Water Movement And Retention In Unsaturated Soils, Jose V. Salazar

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Temperature differences of about 5, 10, and 15 V, were applied to uniformly packed and insulated horizontal column of Millville silt loam soil using mean temperatures near 13, 14, 15, 16, 17, 18, 19, 20 and 23.5 C. The temperature distribution along the soil column was determined using copper constantan thermocouples. Soil samples were taken to determine volumetric moisture content, and soil water potential, using the vapor pressure psychometer technique. The thermodynamic flow equation of Taylor and Cary, (1964) was used to calculate the hydro-thermal transfer coefficient (ß) as given by:

-ß = d(μ_w)_T / dlnT

where …

Geology Of The West-Central Part Of The Malad Range, Idaho, Phillip H. Wach

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The west-central part of the Malad Range is located in south-eastern Idaho. This area was the site of thick marine deposition in the early Paleozoic period. In the Tertiary and Quaternary periods continental deposition occurred, covering the Paleozoic rocks. Quartzite and shale units of the Brigham Quartzite are found near the base of the Cambrian section. Carbonate with shale interbeds is found in the middle and late Cambrian units. Limestone and silty limestone are found in the early and middle Ordovician time overlain by the middle Ordovician Swan Peak Quartzite. The Laketown Dolomite includes units of late Ordovician and Silurian …

Geology Of The Northern Part Of The Malad Range, Idaho, Drew C. Axtell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Rocks of Paleozoic, Tertiary, and Quaternary age are represented in the northern part of the Malad Range. The Paleozoic rocks are represented by thirteen formations that are characterized lithologically by quartzites, shales, and carbonates. The oldest formation in the mapped area of Paleozoic age is the Brigham Formation, and the youngest formation is the Jefferson Formation of late Devonian age.

The rocks of Tertiary age are conglomerates, shales, and limestones and are represented by the Wasatch Formation, the Salt Lake Formation, and boulders. Quaternary rocks include sediments of the Lake Bonneville Group and alluvium.

The faults in the mapped area …

Design Optimization Using Model Estimation Programming, Richard Kay Brimhall

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Model estimation programming provides a method for obtaining extreme solutions subject to constraints. Functions which are continuous with continuous first and second derivatives in the neighborhood of the solution are approximated using quadratic polynomials (termed estimating functions) derived from computed or experimental data points. Using the estimating functions, an approximation problem is solved by a numerical adaptation of the method of Lagrange. The method is not limited by the concavity of the objective function.

Beginning with an initial array of data observations, an initial approximate solution is obtained. Using this approximate solution as a new datum point, the coefficients for …

Fortran Programs For The Calculation Of Most Of The Commonly Used Experimental Design Models, H. Wain Greenhalgh

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two computer programs were developed using a CDC 3100. They were written in FORTRAN IV.

One program uses four tape drives, one card reader, and one printer. It will calculate factorial analysis of variance with or without covariance and/or multivariate analysis for one to eight factors and up to twenty-five variables.

The other program is used for completely randomized designs, randomized block designs, and latin square designs. It will handle twenty-five treatments, rows (blocks), and columns. The program can handle fifteen variables using any number of these variables for covariates.

An Exposition On Bayesian Inference, John Laffoon

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Bayesian approach to probability and statistics is described, a brief history of Bayesianism is related, differences between Bayesian and Frequentist schools of statistics are defined, protential applications are investigated, and a literature survey is presented in the form of a machine-sort card file.

Bayesian thought is increasing in favor among statisticians because of its ability to attack problems that are unassailable from the Frequentist approach. It should become more popular among practitioners because of the flexibility it allows experimenters and the ease with which prior knowledge can be combined with experimental data.

Rational Arithmetic As A Means Of Matrix Inversion, Jay Roland Peterson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The solution to a set of simultaneous equations is of the form A^-1 B = X where A^-1 is the inverse of A in the equation AX= B. The purpose of this study is to obtain an exact A^-1 through the use of rational arithmetic, and to study the behavior of rational numbers when used in arithmetic calculations.

This study describes a matrix inversion program written in SPS II, utilizing the concept of rational arithmetic. This program, using the Gaussian elimination matrix inversion method, is compared to the same method written in Fortran. Gaussian elimination …

Experiments On The Inactivation Of Zinc By The Mineral Fractions Of The Soil, John J. Hassett

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Zinc deficiency, in many cases, is closely related to organic matter decomposition. DeRemer and Smith (1964) studied the effects of decomposing sugar beet tops on the reactions of Zn⁶⁵ in a Portneuf soil. They found that with time the Zn⁶⁵ associated with lime minerals, exchangeable, and water soluble fractions of the soil decreased, while that found with the organic and mineral fractions increased. This increase in the mineral fraction is of particular interest, since the majority of the Zn⁶⁵ was found to be with this fraction after a period of time. They also showed that the increase …

The Influence Of Irrigating With Saline Water On The Energy Status Of Water In Soil And Plant, Rolando H. Braun

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

1. Changes in the energy status of water that occurred in Milville silt loam and in bean (Phaseolus vulgaris L.) plants growing on it , during two consecutive 6-day periods while being irrigated with saline solutions, were studied.
2. Total soil water potential (Ψ soil) (measured with thermocouple psychrometers), matric-potential (Ψ_m) (measured with tensiometers) were considered. In leaf samples, the total water potential (leaf) and the osmotic potential (Ψ_π)--after freezing-- were determined with thermocouple psychrometers; by difference, the pressure potential (Ψ_p) was obtained.
3. There is no evidence of close relationship between changes taking place in …

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 Modern Philosopher's Stone, Grant Gill Smith

Faculty Honor Lectures

Alchemists, the forerunners of chemists, for more than a millennium sought the "Philosopher's Stone"-the transmuting agent that could change imperfect base metals such as lead and tin to the noble metals, gold and silver, and also serve as the Elixir of Life to heal the infirmities of man and prolong his existence on earth.

Where alchemy failed, chemistry, in little more than a century, has succeeded in finding the "Philosopher's Stone," for it is now not only possible to transmute one metal into another and heal many of man's infirmities, but scarcely a facet of man's life has not been …

Frequency Analyses And Probable Storage Requirements By Frequency Mass Curve Methods, Roland W. Jeppson

Reports

Background of Program: In devloping a water resources atlas for the State of Utah, numerous stream flow records were analyzed to determine their flow characteristics. The objective was to present the results in a format which is well adapted for use by water resources planners in preliminary designs to obtain optimum benefits from the water resources. The program described in this booklet was written to determine the probable amounds of storage required in order to meet specified levels of sustained demand for water. The method used not only gives information concerning amounts of storage but also information concerning the probably …

The Structure Of Turbulence In An Open Channel With Large Spherical Roughness Elements, Farooq Nazir

Reports

The present status of knowledge of turbulent flow is inadequate, especially in the case of rough open channels, for the formulation of a general theory. It is believed that more experimental data and the subsequent interpretation of these data are necessary before a workable theory can be formulated. Hence, a description of the turbulence present in a rough open channel can be valuable. For this study an artificially roughened bed 48 feet in length was placed in a channel 8 feet wide and 6 feet deep. Measurements were made of the following properties of turbulence at three different slopes: 1. …

Administrative Budget Needs 1967-69, Utah Water Research Laboratory

Reports

No abstract provided.

Influences Of Exposure On Pan Evaporation In A Mountainous Area, Eugene L. Peck

Reports

The effects of exposure on pan evaporation rates were studied at the Davis County Experimental Watershed near Farmington, Utah, by operating a network of 12 class A evaporation stations on the watershed during the summer months of 1962 through 1966. Standard Weather Bureau observations on a daily basis were obtained from a total of 17 different sites representing widely idverse topography with a vertical range of 4, 630 feet. Deviations from mean relations with elevation on monthly values of observed meteorological factors were found to be related to the type of exposure. Dewpoint observations on different slopes were found to …

Subcritical Flow Over Highway Embankments, Gaylord V. V. Skogerboe, M. Leon Hyatt

Reports

Introduction: At Utah State University, considerable effort has been devoted to the analysis of submerged flow at open channel constrictions. A method of analyzing subcritical (submerged) flow has been developed for flumes. Because of previous findings, it was felt that this method of analyzing submerged flow could be applied to highway embankments. A highway embankment, when overtopped by flood waters, is a form of broad-crested weir. Being a weir, the flood discharge over the embankment is only a function of the upstream depth for free flow conditions. This paper will present a method for determining the discharge under submerged flow …

Reliability Of Can-Type Precipitation Gage Measurements, C Earl Israelsen

Reports

A comprehensive review of literature was made of studies conducted since 1952 pertaining to the accuracy of can-type precipitation gage measurements. Brief discussions are given of the results of some of them, and conclusions are drawn. Topics discussed include raingage comparisons, accuracy of precipitation measurements, precipitation gage errors, and precipitation measurements in mountains. A bibliography is included

Mathematical Simulation Of Small Watershed Hydrologic Phenomena, V. V. Dhruva Narayana, Jay M. Bagley

Reports

In many hydrologic investigations concerning small watersheds, data and observations are totally inadequate to provide a basis for outflow hydrographs. Consequently, a variety of empirical approaches have been developed which have limited rational validity. Hydrograph synthesis offers a reasonable approach to predicting the outflow hydrograph characteristics. In order to synthesize a hydrograph, it is necessary to mathematically describe the physical behavior of the dynamic processes involved in the hydrologic phenomena. Hydrograph synthesis may be considered to comprise (a) hydrographs (actual or simulated) of precipitation, (b) hydrographs of abstractions such as interception, infiltration, and depressional storage, (c) routing or translating the …

Rectangular Cutthroat Flow Measuring Flumes, Gaylord V. V. Skogerboe, M. Leon Hyatt

Reports

Introduction: Procedures and methods for more accurate measurement and improved management of water are continually being sought to make better use of our water resources. Of all the devices and structures developed for measuring water, measuring flumes are among the most widely accepted and used. The most common measuring flume is the Parshall flume developed by Ralph Parshall at Colorado State University. Common to most flumes is the basic geometry consisting of a converging inlet section, a throat, and a diverging outlet section. Occasionally, the diverging outlet section is removed under free flow conditions, and the water is allowed to …

Using Remote Infrared Sensors To Detect Changes In Moisture Conditions On Natural Watersheds, Ralph D. Briscoe, Frank W. Haws

Reports

Foreword: This report summarizes the results of laboratory measurements of the infrared reflectance of selected living plants typical of the natural watersheds in northern Utah. Data indicate that the IR reflectance decreases as the moisture content of the soil decreases and the moisture tension in the soil increases. Additional data will be collected in the field to confirm the results and to further tests the feasibility of using IR reflectance of vegetation as an indicator of soil moisture conditions on the watershed. Mr. Briscoe, Research Physicist, has been responsible for the gathering of laboratory data and has written the manuscript …

Finite Difference Solutions To Free-Surface Flow Through Nonhomogeneous Porous Media, Roland W. Jeppson

Reports

No abstract provided.

Consecutive Streamflow Averages For 90 Utah Stations, A. Leon Huber

Reports

No abstract provided.