Physical Sciences and Mathematics Commons^™

Fitting Some Families Of Contagious Distributions To Biological And Accident Data, Yung-Sung Lee

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Four families of contagious distributions--generalized Poisson distributions, generalized binomial distributions, generalized Pascal distributions, and generalized log-zero distributions--are investigated in this thesis.

The family of generalized Poisson distributions contains five distributions: the Neyman Type A, the "Short," the Poisson binomial, the Poisson Pascal, and the negative binomial. The family of generalized binomial distributions contains eight distributions: the binomial Poisson, the binomial binomial, the binomial Pascal, the binomial log-zero, the Poisson with zeros, the binomial with zeros, the Pascal with zeros, and the log-zero with zeros. The family of generalized Pascal distributions contains four distributions: the Pascal Poisson, the Pascal binomial, the …

The Effectiveness Of Categorical Variables In Discriminant Function Analysis, Preston Jay Waite

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A preliminary study of the feasibility of using categorical variables in discriminant function analysis was performed. Data including both continuous and categorical variables were used and predictive results examined.

The discriminant function techniques were found to be robust enough to include the use of categorical variables.

Some problems were encountered with using the trace criterion for selecting the most discriminating variables when these variables are categorical. No monotonic relationship was found to exist between the trace and the number of correct predictions.

This study did show that the use of categorical variables does have much potential as a statistical tool …

Role Of Transition Metals In Nitrite Decomposition In Soil, J. S. Bajwa

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Iron and copper increased the decomposition of nitrite significantly during the first two hours of reaction when 150 parts per million (ppm) of nitrite and nitrogen was added to an acidic soil. Manganese was found to have a slight effect. There was no additional effect of the added metals after two hours reaction time.

The higher concentration of metals was not effective in catalyzing the decomposition of the added nitrite in nitrogen. All the added nitrite nitrogen was not recovered and the deficit could be due to the formation of nitrogen gas.

Calcium Carbonate Dissolution And Precipitation In Water: Factors Affecting The Carbonate Saturometer Method, Lyle M. Dabb

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The carbonate saturometer method developed by Weyl (1961) was studied in respect to the effect of several variables on the solubility of carbonates. The solubility of three solid carbonate materials was measured in four different salt solutions, at four ionic strengths, and at two different temperatures. The solids studied included: calcite, dolomite, and a calcareous soil.

It was found that the three solid carbonate materials varied in solubility from a low in the soil carbonates to a high in dolomite.

Increasing the ionic strength of the solution increased the solubility of most of the solid carbonate materials.

By decreasing the …

The Effect Of Early Spring Clipping And The Level Of Nitrogen Fertilizer On The Yield Of Improved Pastures, North Logan, Utah, Dechar Sumrit

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The influence of agronomic practices on forage production and chemical composition of grass-legume pasture mixture was studied at the Utah State University Dairy Farm, North Logan, Utah, during spring and summer, 1970. The soil is a well-drained Millville silt loam that has about a 1 percent slope. It is high in potash, phosphorus, and lime, having a pH of 7.9.

Analysis of the clipping management showed that the early spring clipping decreased the yield of forage. The losses in total yield due to spring clipping were approximately four to five times the yields received in early spring clipping. The grasses …

Relationship Of The Soil Water Content And Microclimate To The Plant Growth Water Use Relationship Of Several Plants, Philip Dean Sandberg

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Studies involving field plots, lysimeters, and garbage can lysimeters showed that an intermediate soil water level produced the most growth for a given amount of water use by oats, corn, and barley. For crested wheatgrass the lowest water level produced the most growth per water used. Field plots which were covered with sheet metal between the rows produced more plant growth per water used than the uncovered plots for the crops used in this study. One year's data were obtained on the effect of positioning the garbage can lysimeters. One half of the cans were placed on the soil surface …

The Poincaré Conjecture, Joseph D. Peck

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The central theme for this paper is provided by the following three statements:

(1) Every compact connected 1-manifold is S1.

(2) Every compact connected simply connected 2-manifold is S2.

(3) Every compact connected simply connected 3-manifold is S3.

We provide proofs of statements (1) and (2). The veracity of the third statement, the Poincaré Conjecture, has not been determined. It is known that should a counter-example exist it can be found by removing from S3 a finite collect ion of solid tori and sewing them back differently. We show that it is not possible to find a counterexample by removing …

Telemetered Heart Rates Of Free-Living Uinta Ground Squirrels In Response To Social Interactions, Robert L. Ruff

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Free-living Uinta ground squirrels (Spermophilus armatus) were instrumented with miniaturized ECG radio-transmitters to measure their short-term and long-term heart rate responses to social interactions. A continuous trapping and direct observation program prior to and during the study provided complete behavioral and life history information for virtually all ground squirrels on the 22-acre study area.

Three broad categories of heart rate information were obtained: responses by squirrels (1) in their burrows, (2) above ground during social interactions, and (3) above ground when animals were not fighting and when conspecifics were both absent and present.

Marked changes in the heart …

Some Aspects Of Muskrat Ecology At Big Island Lake, Alberta, Roger G. Schmitke

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The untimely death brought to a stop the work on his Master of Science degree and a termination of a promising career in the conservation field. Drowned in the line of duty was Roger Schmitke on June 10, 1965, in the Redwater River near Edmonton, Alberta, Canada.

Prior to his death, Roger had worked diligently on his research assignment and had collected all of the data deemed necessary for the completion of the thesis. Partial analysis of the data had been made. The present volume is an attempt to bring together his data and analyses for presentation to his graduate …

I. Studies Toward The Synthesis Of Echinodithianic Acid And Ii. The Temperature Dependent Nmr Spectrum Of Methyl N-Acetylsarcosinate, Alan Leroy Love

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Approaches to the preparation of echinodithianic acid (5) from 2,5-dicarbomethoxy-1,4-dithiane (1) were not successful, due to the inability to carboxylate or carboalkoxylate 1 at carbons 2 and 5. Studies toward the synthesis of 5 utilizing methyl 2-acetamidoacrylate (8) have been investigated. The electrophilic addition of sulfur dichloride to 8 yielded bis-(2-acetamido-2-carbo-methoxyvin-1-yl) sulfide, while the addition of thiocyanogen chloride to 8 produced methyl 2-acetamido-3-thiocyanato-acrylate.

As electrophilic additions of unsymmetrical dipolar reagents to methyl 2-acetamidoacrylate (8) are not reported in the literature, the addition of hydrogen bromide to 8 was studied to determine the orientation effect of the acetamido group.

Methyl 2-acetamido-2-bromopropionate …

Structural Geology Of The Oxford Peak Area, Bannock Range, Idaho, Larry C. Raymond

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The mapped area, in southeastern Idaho, includes part of the Bannock Range, on the west, and Cache Valley, on the east. It is centered about 13 miles northwest of Preston, Idaho, and measures 12 miles in the north-south direction and 8.5 miles in the east-west direction.

The Bannock Range, in the western part of the mapped area, consists of Precambrian and Cambrian stratigraphic units. The Precambrian units are as follows: (1) lower Precambrian argillite, (2) Precambrian quartzite, and (3) upper Mutual Formation. The Brigham Formation, which overlies the Mutual, is probably of Cambrian age; however, the lower part may be …

Resource Requirements Determination (Based On Statistical Methods), Robert L. Howard

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two methods of determining resource requirements at an Air Force maintenance depot were developed.

The first method is designed for new workloads and is based on infinite queuing theory formulas. Tables have been developed for this method.

The second method is designed for workload with, at minimum, several months of historical data. An optimum fit test was designed to aid in fitting and smoothing the empirical data to the normal distribution. These data are then input to simulation model for determination of resource requirements.

Statistical Analysis For Tolerances Of Noxious Weed Seeds, Yadolah Dodge

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

An analysis of the previous method for testing tolerances of noxious weed seeds was performed. Problems of the current techniques were discussed, and the solution to these problems was given.

A new technique of testing through the sequential test ratio was developed, and results examined.

The sequential test was found to be useful enough to include the use of it in determining tolerances for noxious weed seeds.

This study did show that the use of sequential tests does have excellent potential and flexibility as a statistical tool for the tolerances of noxious weed seeds.

Spawning And Early Life History Of Largemouth Bass (Micropterus Salmoides) In Wahweap Bay, Lake Powell, Kent D. Miller

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Spawning time and habitat of largemouth bass, survival of embryos, and growth and food habits of fingerlings were studied in 1968 and 1969 at Wahweap Bay, Lake Powell. Spawning began in mid- to late-April, when mean daily water temperature at nesting depths was 14.4-15.0 Centigrade (58-59 Fahreheit), and continued until mid-June. Most spawning took place on the northeast shore of the bay. Sandstone rubble was the most commonly used bottom type for nesting, either at the base of ledges or around large sandstone boulders. Mean nest depth increased from 1.63 meter to 4.54 meters (5.36 feet to 14.90 feet) in …

The Effect Of Alternate Wetting And Drying On The Ammonium And Nitrite Nitrogen Transformation In Soils, Virupax C. Baligar

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Investigations were carried out to study the effect of alternate wetting and drying cycles on the mineralization, nitrification, and denitrification of soil nitrogen in two soils, in the presence or absence of added ammonium and nitrite. Soils were analyzed at the end of each drying cycle for total inorganic nitrogen, ammonium, and nitrite nitrogen. Gaseous products, i.e., ammonia, and the oxides of nitrogen (NO and NO₂) were collected in the course of drying for determination.

The drying cycles accelerated the rate of nitrogen mineralization in both soils and further increased the oxidation of applied and available ammonium. The …

A Comparative Study Of Boron Adsorption By A Calcareous And An Acid Soil, Namik M. Ali Rashid

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The adsorption of boron by Aiken clay loam and Vernal sandy loam was studied in the boron equilibrium concentration range of 0 to 40 ppm. Adsorption data were obtained at 11, 20 and 30°C. The data were analyzed by the application of the Langmuir adsorption isotherm. It was concluded that, in both soils, the adsorption of boron occurred on three distinct sites or regions.

The acid ferrigenous Aiken soil had a higher adsorption capacity for boron than the calcareous Vernal soil when compared on a unit mass basis. On the unit area basis, however, the Vernal soil adsorbed more boron …

Effect Of Time And Rate Of Application Of Nitrogen On The Yield Of The Mexican Wheat Under The Semi-Arid Conditions Of Tunisia, Habib M. Halila

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The effect of the time and rate of application of nitrogen on the yield of high yielding varieties of wheat was studied under the semiarid conditions of Northern Tunisia.

Analysis of the experimental data showed that nitrogen increased the yield of wheat in most locations which were chosen for this experiment.

In high rainfall areas, late application of nitrogen (tillering, jointing stages) was more effective than early applications. The optimum yield was obtained by applying 90 kilograms of nitrogen per hectare.

In the medium to low rainfall area, early applications (seeding time) were more effective than the late ones. The …

A Survey In Mean Value Theorems, David A. Neuser

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A variety of new mean value theorems are presented along with interesting proofs and generalizations of the standard theorems.

Three proofs are given for the ordinary Mean Value Theorem for derivatives, the third of which is interesting in that it is independent of of Rolle's Theorem. The Second Mean Value Theorem for derivatives is generalized, with the use of determinants, to three functions and also generalized in terms of n-th order derivatives.

Observing that under certain conditions the tangent line to the curve of a differentiable function passes through the initial point, we find a new type of mean value …

A Fortran List Processor (Flip), Karl A. Fugal

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A series of Basic Assembler Language subroutines were developed and made available to the FORTRAN IV language processor which makes list processing possible in a flexible and easily understood way.

The subroutine will create and maintain list structures in the computer's core storage. The subroutines are sufficiently general to permit FORTRAN programmers to tailor list processing routines to their own individual requirements. List structure sizes are limited only by the amount of core storage available.

A Kinetic Approach To The Inactivation Of Zinc By Various Soil Constituents, Shingara S. Sandhu

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The adsorption reaction of zinc onto prochlorite, pyroxene, and biotite minerals, from dilute solution (water) was studied under isothermal conditions by agitated nonflow experiment method. The equilibrium concentration of zinc in the solution was determined both by radioactive tracer technique and adsorption spectrophotometer methods. The data were collected at three temperatures.

The data were treated by the equation:

∂θ/∂t = k₁(1-θ)C - k_-1θ

where θ is the fraction of total surface coverage and C is the equilibrium concentration of zinc in solution, k₁ and k_-1 are the rate constants for the adsorption and reverse …

Structural Geology Of Eastern Part Of The Smithfield Quadrangle, Utah, Cheryl Leora Galloway

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The mapped area represents the eastern three-fourths of the Smithfield quadrangle, Utah. This quadrangle is located in the central part of northern Utah about 8.6 miles south of the Utah-Idaho State Line. The Bear River Range, along the eastern margin of the quadrangle, consists of stratigraphic units ranging in age from Precambrian to Devonian. The Salt Lake Formation of Tertiary age rests unconformably on Precambrian quartzite and Paleozoic units along the western side of the range. The Lake Bonneville Group overlaps Cambrian rocks in the southern part of the area and overlaps the Salt Lake Formation in the northern part. …

The Ontogeny Of Social Behavior Of Uinta Ground Squirrels, D. Andrew Saunders

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The social behavior of juvenile Uinta ground squirrels (Spermophilus armatus) was studied for 2 1/2 years in northeastern Utah. The purpose of the study was to describe the developing social behavior of unconfined, marked squirrels. Their behavior was recorded with motion pictures and written descriptions from the time they emerged from the natal burrow until they entered hibernation.

Three phases of behavioral development were apparent. The first phase began when the juveniles appeared above ground and ended 5 weeks later. This was a period of socialization and consisted of behavioral patterns best described as play. The second phase …

A Report On The Statistical Properties Of The Coefficient Of Variation And Some Applications, Howard P. Irvin

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Examples from four disciplines were used to introduce the coefficient of variation which was considered to have considerable usage and application in solving Quality Control and Reliability problems.

The statistical properties were found in the statistical literature and are presented, namely, the mean and the variance of the coefficient of variation. The cumulative probability function was determined by two approximate methods and by using the noncentral t distribution. A graphical method to determine approximate confidence intervals and a method to determine if the coefficients of variation from two samples were significantly different from each other are also provided (with examples). …

Source Rocks And Sediments In Drainage Area Of North Eden Creek, Bear Lake Plateu, Utah-Idaho, Larry W. Mcclurg

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Bear Lake Plateau extends north-south across the north central corner of Utah and the southeastern corner of Idaho. North Eden Creek drains westward through part of the plateau and is crossaxial across both strikes of beds and other structures in the area. The formations in the area mapped are of Triassic, Jurassic, and Tertiary age, although only Jurassic and Tertiary rocks contribute sediments to North Eden Creek. The formations consist of sandstones (Nugget), limestones (Twin Creek), and conglomerates (Wasatch). A local extrusion of basalt occurs in the southwestern part of the drainage area.

Particle-size analyses of 15 samples from …

Drift Of Oligophlebodes Sigma And Baetis Bicaudatus In A Mountain Stream, William Dean Pearson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The objective of this study was to clarify the relationships between drift rates, population density, production rates, key environmental factors, and movements of adults within two populations of stream insects (a caddisfly--Oligophlebodes sigma and a mayfly--Baetis bicaudatus).

Samples of benthic invertebrates (424 total) were collected every 28 days at four stations on Temple Fork of the Logan River, Utah, from October, 1967 to September, 1969. Samples of drift invertebrates (181 total) were collected every 14 days at three stations on Temple Fork during the same period. During summer months (June-September) a day and a night drift sample …

Magnesium Ion Inhibition Of Calcium Carbonate Precipitation And Its Relation To Water Quality, John J. Hassett

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The effect of Mg⁺⁺ ion on the solubility of calcium carbonate was determined using P. K. Weyls "carbonate saturometer."

The amount of calcium carbonate precipitated or dissolved was measured for five series of waters when equilibrated with solid carbonate.

It was found that the effect of Mg⁺⁺ ion on solubility depend upon the nature of the solid phase: surface area, coprecipitated Mg⁺⁺, minerology, etc.

Pure low area calcite showed an increase in solubility which could be explained by ion-pair formation, while its other carbonates departed from this behavior.

The Photochemical Reduction Of Octacyanomolybdate(V) Ion In Aqueous Solutions, Gordon W. Gray

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The photochemical reactions occurring in aqueous solutions of octacyanomolybdate(V) ion, Mo(CN)₈^3-, during irradiation with light of 365 and 436 nm wavelengths were studied. The quantum yields and reaction products were determined for neutral, unbuffered solutions as well as solutions buffered at pH 4.0, 7.0, and 9.0.

The results of these studies showed that the Mo(CN)₈^3- ion is rapidly reduced by light to a Mo(IV) complex. In neutral or acidic media, the initial photoreduction product was found to be the red heptacyanoaquomolybdate(IV) ion, Mo(CN)₇(H₂O)^3-. Photolysis in basic solution gave the …

Model For Bathtub-Shaped Hazard Rate: Monte Carlo Study, Glen S. Leithead

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A new model developed for the entire bathtub-shaped hazard rate curve has been evaluated as to its usefulness as a method of reliability estimation. The model is of the form:

F(t) = 1 - exp - (ϴ₁t^L + ϴ₂t + ϴ₃t^M)

where "L" and "M" were assumed known.

The estimate of reliability obtained from the new model was compared with the traditional restricted sample estimate for four different time intervals and was found to have less bias and variance for all time points.

This was a monte carlo study and the …

Areal And Temporal Variations In Developmental Phases Of Syringa Vulgaris L. Throughout The Western United States, Joseph Michael Caprio

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper presents the results of the analysis of 10 years of information 1957-1966 on three phases-- begin, peak and end bloom-- of the purple common lilac (Syringa vulgaris L.) using data recorded at approximately 1,000 locations throughout the Western Region of the United States.

The pattern of geographical advance of the various bloom phases is determined by both a manual mapping procedure developed by the author and by standard statistical methods. Manually drawn isophanes for the various elevations for begin bloom phase are based entirely upon the first 5 years of record, 1957-1961. A Zones of Adjustment map to …

Transpiration And Dry Matter Response To Atmospheric Humidity, Matric Suction, And Fertility, Gordon Edgar Warrington

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Growth chamber studies showed that a relationship exists between transpiration and dry matter production of spring wheat (Tritiaum Aestivum L. var . Thatcher). A temperature of 27 C for a 16-hour day,and 21 C at night were used throughout the experiment. Relative humidities (RH) of 12, 25, 71, and 83 percent and matric suctions of 1, 3, and 9 bars were used a l ong with six fertility levels and a 20-day growing period. An equation was developed from previous equations by De Wit and Arkley to describe the transpiration ratio (Tr = mass of water transpired/mass of dry …