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Full-Text Articles in Physical Sciences and Mathematics

The Geology Of The Eastern Half Of The Lake City Quadrangle, Anderson And Campbell Counties, Tennessee, Joseph B. Cathey Jr. Dec 1950

The Geology Of The Eastern Half Of The Lake City Quadrangle, Anderson And Campbell Counties, Tennessee, Joseph B. Cathey Jr.

Masters Theses

Preface:

The field work involved in the preparation of this thesis was begun in the fall of 1949 and completed during the summer of 1950. The writer used the geological folio of the area (Keith, 1897) to orient himself in general in the field. The geologic mapping was started in the eastern part of the quadrangle in the Valley and Ridge portion of the area and then continued westward into the Plateau portions. The final study resulted in both stratigraphic and structural modification of some of Keith's interpretations.

The writer gratefully acknowledges the counsel and assistance of Dr. Harry J. …


The Galois Group Of A Polynomial Equation With Coefficients In A Finite Field, Charles Leston Bradshaw Aug 1950

The Galois Group Of A Polynomial Equation With Coefficients In A Finite Field, Charles Leston Bradshaw

Masters Theses

Introduction [Abbreviated]:

The primary purpose of this thesis is to demonstrate a method for the determination of the Galois group of a polynomial equation with coefficients in a finite field. The problem of finding the Galois group of an arbitrary equation, where the coefficient field is either finite or infinite, is neither new nor unsolved.


Statistical Analysis And Forecast Of The University Of Tennessee Enrollment, Edward J. Boling Aug 1950

Statistical Analysis And Forecast Of The University Of Tennessee Enrollment, Edward J. Boling

Masters Theses

Statement of the Problem: It is the problem of this investigation to analyze by use of statistical methods the number of students enrolled at The University of Tennessee from 1899 to 1950, and with the aid of such analysis to forecast possible future enrollments.

The data used in this investigation will be limited in that only the resident students of that portion of The University of Tennessee which is located at Knoxville, Tennessee, will be used. Thus, the Colleges, Schools and Experiment Stations located in Memphis, Martin, Jackson, Columbia, Greeneville, Nashville, Crossville and Springfield, and the University extension work carried …


Rhenium And Rhenium-Nickel Alloys As Hydrogenation Catalysts, Norma Connell Bowen Jun 1950

Rhenium And Rhenium-Nickel Alloys As Hydrogenation Catalysts, Norma Connell Bowen

Masters Theses

The use of the element rhenium and its compounds for catalytic work is suggested by the position of the metal in the periodic table. Very little experimental work has been done, however, in the field of rhenium catalysis. Compounds of rhenium, as well as the metallic form, both supported and unsupported have been tried for oxidation, dehydration, dehydrogenation and hydrogenations reactions.


Prime Ideals In Semigroups, Helen Bradley Grimble Mar 1950

Prime Ideals In Semigroups, Helen Bradley Grimble

Masters Theses

The concept of prime ideal, which arises in the theory of rings as a generalization of the concept of prime number in the ring of integers, plays a highly important role in that theory, as might be expected from the central position occupied by the primes in arithmetic. In the present paper, the concept is defined for ideals in semigroups, the simplest of the algebraic systems of single composition, and some analogies and differences between the ring and semigroup theories are brought out. We make only occasional references to ring theory, however; a reader acquainted with that theory will …


A Study Of The Retail And Wholesale Distribution Of Frozen Foods In Tennessee, John F. Boyd Iii Mar 1950

A Study Of The Retail And Wholesale Distribution Of Frozen Foods In Tennessee, John F. Boyd Iii

Masters Theses

[From the Introduction]

One of the most amazing stories to come from the foods business during the past decade is the growth of the frozen foods industry. Its rapid development, after having partially solved many perplexing problems of production and distribution, was somewhat accelerated by higher consumer incomes and wartime scarcities. Equally important is the fact that housewives have been relatively quick to adopt frozen foods. Therefore, today frozen foods are occupying an increasingly important position and the industry no longer considers itself as being in the "infant" stage of development.


Constant Rank Matrices, Harlan D. Mills Jan 1950

Constant Rank Matrices, Harlan D. Mills

The Harlan D. Mills Collection

A matrix is a rectangular array of quantities which, as an array, obeys certain rules when combined with other matrices by the operations of addition and multiplication, or when combined with scalar quantities by the operation of multiplication. These operations have meaning if and only if the matric quantities and scalar quantities are elements of a ring. A minor of a matrix is a certain function of a square sub-array of the matrix, and has a unique meaning if and only if the elements of the sub-array are commutative. The rank of a matrix is a function of all possible …