Physical Sciences and Mathematics Commons^™

Orthogonal Polynomial Expansions With Nonnegative Coefficients, William F. Trench

William F. Trench

No abstract provided.

Radiation Problem, Gerald L. Fuller

Honors Theses

A sphere of radius 'a' which is radioactive and which has an average range 'b' in the sphere. What fraction of total radiation will escape the sphere?

Nonnegative And Alternating Expansions Of One Set Of Orthogonal Polynomials In Terms Of Another, William F. Trench

William F. Trench

No abstract provided.

An Introduction To Linear Programming, Lana Sue Legrand

Honors Theses

This paper represents a study of the text An Introduction to Matrices, Vectors, and Linear Programming. It is composed chapter by chapter taking the more important statements, definitions, and theorems from each and working out exercises to illustrate their meaning. Other exercises were worked in the course of the study than are included in this paper but these were selected as brief illustrations of the type of problems that were worked.

A Density For A Generalized Likelihood-Ratio Test When The Sample Size Is A Random Varible, Raymond H. Neville

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many articles, books, papers, and abstracts have been published, which describe the analysis and design of experiments. R. A. Fisher's (1951) book, The Design of Experiments, is referred to by D. J. Finney (1960) as the classic for experimental designs. Some of the more outstanding books and publications in this area are those by Cochran and Cox (1957), Cox (1958), Davis et al., (1954), Federer (1955). Quenouille (1953). and Kempthorne (1952).

On The Inversion Of A Hilbert Type Matrix, William Trench, Perry Scheinok

William F. Trench

We consider the inversion of finite and infinite matrices related to Hilbert matrices.

On An Explicit Method For The Solution Of A Stefan Problem, William F. Trench

William F. Trench

No abstract provided.

The Solution Of Boundary Value Problems By Use Of The Laplace Transformation As Compared With Classical Methods, Dan W. Stoddard

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this paper is to present a study of different methods of solving certain boundary value problems. In particular it will be concerned with solutions by classical methods and by operational methods. Of the various operational methods that may be considered, the Laplace transformation appears to be the best⁽¹⁾ and will be used in this paper.

In the 1951 Encyclopedia Americana Annual is this report on the activities in applied mathematics for the previous year:

Progress was made on the general problem of finding the eigenvalues of matrices and systems of differential equations. Considerable effort was also …