Physical Sciences and Mathematics Commons^™

An Examination Of The Romberg Method For Numerical Integration, Water James Halpin

Mathematics & Statistics ETDs

INTRODUCTION

This paper will amount to an inquiry into the mathematical structure and properties of a matrix of approximate integration formulas due to Werner Romberg 1 which have found considerable favor in numerical analysis during the past decade. Like other devices for approximate integration the Romberg method has its origin in the exhaustion techniques developed by the Greeks for determining the areas of figures enclosed by lines in the plane. It is particularly closely associated with the scheme employed by Archimedes2 (circa 250 B.C.) for approximating the value of [3.14]. This involves a doubling process which is essentially the basis …

A Survey Of The Breakfast And Snack Habits Of Adventist And Non-Adventist Adolescents, Consuelo A. Bustista

Loma Linda University Electronic Theses, Dissertations & Projects

A study was undertaken to survey by questionnaire and interview methods the breakfast and snack habits of Adventist and non-Adventist adolescents. The purposes of the study were: (I) to find out if there is any difference in the practices of Adventist and non-Adventist teenagers, and (2) to determine their attitudes toward snacking and omission of breakfast.

Results of the questionnaire were coded, punched onto IBM cards, and fed into computing machines for item and statistical analysis. Chi-square test analyses were done on denominational classification against some questions of interest to show any significant differences between Adventist and non-Adventist students' responses. …

The Effects Of Particular Sounds On Certain Indices Of Cardio-Pulmonary Functions, Harold F. Googe, Jane Mundin

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to identify the effects of particular sounds upon certain indices of cardio-pulmonary function and the degree and pattern of changes which occurred in the indices. The specific physiological parameters chosen to be monitored were heart rate, respiratory rate, mean tidal volume, instantaneous minute volume, and oxygen consumption. The hypothesis was that particular sounds will cause changes in certain indices of cardio-pulmonary functions. This was a controlled experiment, in which nine healthy males and nine healthy females, of a denominational, medically oriented University listened to a specially constructed tape of background music interspersed with an …

Nurse-Patient Interpretations Of The Nurse's Touch, Judith Ann Trowbridge

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to discover whether or not patients and nurses derived a similar meaning from pictures of a nurse touching a patient in various ways. Five by seven inch black and white photographs were shown to thirty patients and thirty registered nurses. The subjects were controlled in regard to sex, race, residence, language, and physical and emotional orientation. They were asked to focus upon the photographed nurse's touch and to tell in one or two words what meaning they felt that the nurse was trying to convey to the patient by her touch. Responses were recorded …

The Approximation Of Eigenvalues And Eigenfunctions Of Convolution Kernels, Adelbert Lee Roark

Mathematics & Statistics ETDs

No abstract provided.

An Odontometric Study Of Five Contemporary Western United States Indian And Alaskan Eskimo Groups, John A. Matis

Loma Linda University Electronic Theses, Dissertations & Projects

The morphologic characteristics of the oral cavity in five contemporary Western Indian and Alaskan Eskimo groups have been investigated by the use of study models of the dental archs. The sample consisted of 216 individuals, including 44 Navajos, 43 Apaches, 40 Papagos, 42 Pimas and 47 Alaskan Eskimos.

The first purpose of the study was to determine the extent of investigator error. This was accomplished by remeasuring many morphologic traits of the dentition in 125 Indians which had previously been measured by different investigators using the same study models. It was found that investigator error can be significant, even in …

A Cephalometric Study Of The Face And Dentition Of Several Contemporary Western United States And Alaskan Eskimo Groups, Robert C. Parkard

Loma Linda University Electronic Theses, Dissertations & Projects

A total of 223 cephalometric radiographs selected from six contemporary western United States and Alaskans native groups were analyzed by use of the Bjork cephalometric analysis. Those native groups selected were the Eskimos, Apaches, Navajos, Papagos, Pimas and Mayos. Approximately thirty to forty natives from each group were used in the study with ages ranging from thirteen to thirty-five years. The majority were in the fifteen to twenty year age range.

All data was submitted to various statistical analyses to establish a mean, standard deviation, and other relevant values for each of the native groups and to compare these values …

Completion And Compactification Functors For Cauchy Spaces, James Francis Ramaley

Mathematics & Statistics ETDs

The subject of this thesis is topological but the approach is categorical. We consider the approach as important as the subject itself and so we try to indicate whenever we have a categorically defined concept. In fact, we are led by this approach to make definitions and constructions so that certain relationships are categorical in nature. Our coreflective completion functor of Chapter IV is one example of this approach.

We wish here to give a brief outline of the historical develop­ment of convergence theory and how category theory has come to play a role in this development...

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 …

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 …

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.

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 …

Tolerance Regions For A Joint Exponential Distribution, Lee J. Bain

Mathematics and Statistics Faculty Research & Creative Works

The evaluation of the reliability of a system of components, when the components are assumed to follow a joint exponential distribution, is considered. The approach used is to develop tolerance regions for the joint exponential distribution or to estimate the probability content of the appropriate specification region. Copyright © 1968 by The Institute of Electrical and Electronics Engineers, Inc.

Handlos And Baron Model: Short Contact Times, J. Patel, Robert M. Wellek

Chemical and Biochemical Engineering Faculty Research & Creative Works

No abstract provided.

Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench

William F. Trench

No abstract provided.