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The Frobenius Theorem, Hiroshi Nagao

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

Many theorems in differential geometry which deal with the existence of certain geometrical structures or properties depend upon various existence and uniqueness theorems for differential equations. Because of its wide range of applications one of the most important of these theorems is the Frobenius Theorem for systems of total differential equations. There are four different forms of the Frobenius Theorem. In applications of the theorem one form is often preferable to the others. In this report we -shall prove the Frobenius Theorem, establish the equivalence of these various forms, and discuss a few applications.

Student Profile, Fall 1980, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1980. The cover of the book has a 1980 sticker on it as well as an ink stamp that reads, "Wright State University Student Information Systems".

Sample Size Calculations And Optimal Followup Time In Health Services Research Using Utilization Rates, Paula Diehr

UW Biostatistics Working Paper Series

It is not always possible to estimate the sample sizes needed in health services research because special formulas are needed, and the necessary data may not be available to use in the formulas. We provide some useful formulas for the sample size required in comparing the means of two groups. These include the special case where the two groups are not of equal size either because one is known to have a higher variability or because one group has already been chosen and its size is thus fixed. We also explore the relationship of the mean to the standard deviation …

The Effect Of Natural Measures To Aid In Sleep As Compared With The Use Of Flurazepam 30 Milligrams As Seen In The Hospitalized Male Patient, Myra Ladd Thompson

Loma Linda University Electronic Theses, Dissertations & Projects

Sleep is necessary for physical and psychological restoration of the body. Studies indicate that tissue repair is augmented during sleep, showing that rates of protein synthesis and of mitotic division are higher at times of rest and sleep. Studies evaluating sleep-deprived subjects reveal that after loss of normal sleep, some types of memory and learning processes are impaired. These subjects generally become anxious and irritable, especially after loss of dreaming sleep.

Sleeping medications have been implicated by observers and researchers to be a cause of altered sleep patterns. These medications not only disrupt normal sleep cycles, but their continued use …

A Comparative Study On The Frequency Of Respiratory, Gastrointestinal, And Allergic Disorders Between Bottle-Fed And Breast-Fed Infants From Birth To Twelve Weeks Of Age, Sylvia C. Souza

Loma Linda University Electronic Theses, Dissertations & Projects

Questions concerning the advantages of breast-feeding have been debated since the introduction of commercially-prepared formula about 50 years ago. Some recognized benefits of breast milk include less respiratory as well as other Infections, less allergy in infancy and later life, and a lower morbidity rate in less-developed countries. From 1955 to 1971 in the United States there was a decline in the incidence of breast feeding related to several factors which included the introduction of formula, mothers returning to the work force, and strict maternity units' rules and routines. Since 1971 to the present there has been a resurgence in …

The Effect Of Periapical Inflammation On Cellular Cementum : A Scanning Electron Microscope Study, Gary S. Yonemoto

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to obtain information on the morphologic changes that occur in cellular cementum exposed to periapical inflammation.

Ten single rooted human teeth were collected. There were five specimens of normal cellular cementum and five specimens of diseased cellular cementum, which had been exposed to periapical inflammation. Each specimen was fractured longitudinally through the apical foramen, leaving the organic component intact. The cross-sectional morphology of cellular cementum was then examined using an ARM Model 1000 scanning electron microscope. Energy dispersive x-ray spectrometry was also conducted on samples representative of the two test groups.

A methodology was …

Review Of Prognostic Factors For Esophageal Voice, Christine G. Bravos

Loma Linda University Electronic Theses, Dissertations & Projects

Plan A of this study was completed. Plan B of the study is the subject for future research. A review of the laryngectomy literature, from the earliest mention of the laryngectomy surgical procedure to the present was conducted; with specific emphasis upon factors pertinent to laryngectomee rehabilitation and esophageal speech development. Psychological, idiosyncratic, social, therapeutic and physiological factors were reported as affecting esophageal voice development. There were a great diversity of variables that might be predictive in judging acquisition of esophageal voice. However, much of the information regarding predictive variables was based on subjective reports, poorly controlled statistical research, or …

Evaluation Of New Attachment Following Full Thickness Flap Procedure In Humans, Shaunda S. Steiner

Loma Linda University Electronic Theses, Dissertations & Projects

A study was made to investigate the biological possibility of obtaining new connective tissue attachment to periodontally diseased root surfaces following full thickness flap procedure. Reconstructive surgery was performed on seven teeth involved in advanced chronic periodontal disease. A mucoperiosteal flap was raised and the apical extent of existing subgingival calculus was marked with a notch made into the root just apical to the calculus. Following thorough instrumentation, sterile saline was applied to the root surface for five minutes, and the flap was repositioned and sutured. Four months later the teeth with attached periodontal tissues were removed and processed for …

An Analysis Of The Attitudes Of Unlicensed Personnel In San Bernardino Metropolitan Area Convalescent Hospitals Toward Their Jobs And The Geriatric Patients, Theodore G. Sneed

Loma Linda University Electronic Theses, Dissertations & Projects

In American society, convalescent facility residency is a fact of life for many of the aged. Typically, in these geriatric facilities, eighty to ninety percent of primary patient care services are delivered by unlicensed personnel. Unfortunately, this segment of the convalescent facility employee population tends to be transient, underpaid and overworked, and to feel very low esteem for themselves and their jobs. This situation has produced many service abuses and interaction difficulties in the convalescent facilities. Up until the present there has been little attempt on the part of Sociology to study this portion of the employee population in these …

Methodology In Measurement Of Load Loss Or Gain In Orthodontic Wires : A Pilot Study, Merton S. Lacy

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this investigation was to develop methods and equipment to measure and record over any desired length of time the loss or gain in force of any material used in orthodontics that can produce a force upon an object. The material and the object being acted upon should not be disturbed while measuring that force.

Holding devices were designed and constructed in two basic forms. For intrusive and extrusive type forces, a load cell was fixed horizontally in such a position that an adjustable tube with a set screw to hold the wire could be rotated to cause …

Effects Of Relaxation Therapy On Anxiety In Depressed Clients, Patricia Anne Worret

Loma Linda University Electronic Theses, Dissertations & Projects

During a psychiatric field placement, it was noted by this nurse researcher that patients with a diagnosis of depression often overtly displayed symptoms of anxiety. A brief literature review revealed that this anxiety-depression duality occurred frequently.

The purpose of this study was to determine if relaxation therapy was a therapeutic intervention which could be utilized by nurses to provide relief from the symptoms of the anxiety-depression syndrome. This was a clinical, quasi-experimental research investigation. The sample was chosen by a purposive, non-random selection of 20 experimental and 10 control subjects who were hospitalized with a diagnosis of depression in an …

A Study Of The Physiological And Mental Effects Of Various Shift Patterns On Registered Nurses, Carolyn Taylor Smith

Loma Linda University Electronic Theses, Dissertations & Projects

The effects of shift work on circadian I an rhythms has become a subject of great Interest to many industries, hospitals, and sleep researchers. More and more recognition is being given to the results of these studies, especially the possible adverse effects on those working the night shift or a shift they are unable to adapt to adequately. Only a few of these studies, however, have been conducted on registered nurses, a major group involved with shift work.

The purpose of the present study was to investigate the effects on nurses working the a.m. shift (7 a.m. to 3:30 p.m.), …

The Effect Of Nursing Discharge Counseling Sessions On The Pre-Discharge Anxiety Level Of The Neurotically-Depressed Female In A Community Hospital Setting, Deborah Snyder Galasso

Loma Linda University Electronic Theses, Dissertations & Projects

Discharge from the hospital has been identified as a time when patients are in need of additional nursing support. The prospect of leaving the protective hospital environment to return to the home environment with its life stresses can cause anxiety. This study was designed to test the effect of a nursing intervention, discharge counseling sessions, on the anxiety level of the neurotically-depressed female prior to discharge.

The null hypothesis guiding this study was: nursing discharge counseling sessions will have no significant (α=0.05) effect on the pre-discharge anxiety level of the neurotically-depressed female in a community hospital setting. The State-Trait Anxiety …

A Confidence Interval Estimate Of Percentile, How Coung Jou

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The confidence interval estimate of percentile and its applications were studied. The three methods of estimating a confidence interval were introduced. Some properties of order statistics were reviewed. The Monte Carlo Method -- used to estimate the confidence interval was the most important one among the three methods. The generation of ordered random variables and the estimation of parameters were discussed clearly. The comparison of the three methods showed that the Monte Carlo method would always work, but the K-S and the simplified methods would not.

Exact Analysis Of Variance With Unequal Variances, Noriaki Yanagi

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this paper was to present the exact analysis of variance with unequal variances. Bishop presented the new procedure for the r-way layout ANOVA. In this paper, one and two way layout ANOVA were explained and Bishop's method and Standard method were compared by using a Monte Carlo method.

Evaluation Of Multivariate Homogenous Arma Model, Lucy Chienhua Tseng

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this thesis is to study a restricted multivariate AFRMA model, called the Homogeneous Model. This model is defined as one in which each univariate component of the multivariate model is of the same order in p and q as it is in the multivariate model.

From a mathematical respect, multivariate ARMA model is homogeneous if, and only if, its coefficient matrices are diagonal. From a physical respect, the present observation of a phenomenon can be modeled only by its own past observation and its present and past "errors."

The estimation procedures are developed based on maximum likelihood …

Extreme Value Distribution In Hydrology, Bill (Tzeng-Lwen) Chen

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The problems encountered when empirical fit is used as the sole criterion for choosing a distribution to represent annual flood data are discussed. Some theoretical direction is needed for this choice. Extreme value theory is established as a viable tool for analyzing annual flood data. Extreme value distributions have been used in previous analyses of flood data. However, no systematic investigation of the theory has previously been applied. Properties of the extreme value distributions are examined. The most appropriate distribution for flood data has not previously been fit to such data. The fit of the chosen extreme value distribution compares …

Embedding Discrete Flows On R In A Continuous Flow, P. L. Sharma, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

The problem of determining when a given discrete flow on a topological space is embeddable in some continuous flow was mentioned by G. R. Sell ("Topological Dynamics and Ordinary Differential Equations," Van Nostrand, New York, 1971) in his book on topological dynamics. In this book, the theory of generalized dynamical systems is exploited in the qualitative study of differential equations. Even more complicated is the problem of simultaneously embedding two or more discrete flows in a single continuous flow. We examine both of these problems when the underlying topological space is the space R of the real numbers. © 1980.

Tolerance Intervals For A Class Of Ifr Distributions With A Threshold Parameter, Jagdish K. Patel

Mathematics and Statistics Faculty Research & Creative Works

One-sided upper and lower tolerance intervals based on type II censored data are obtained. Under certain conditions the tolerance factors can be obtained from known results on the 2-parameter exponential distribution. Copyright © 1980 by the Institute of Electrical and Electronics Engineers, Inc.

An Empirical Bayes Approach To Polynomial Regression Under Order Restrictions, Leonard W. Deaton

Statistics

An unknown polynomial is to be estimated over a finite interval from N independent, normally distributed observations. A prior distribution is placed on the polynomial coefficients expressing the opinion that the coefficients decrease in absolute value as the degree of the corresponding terms increase. The data are used to estimate the parameters in the prior distribution of the coefficients. A Monte Carlo study is presented which compares the proposed method with the lack-of-fit procedure. This study indicates that the proposed method performs well in terms of minimizing a squared error loss as well as in yielding the correct degree of …

Factorial Analysis Of Variance And Covariance On A Minicomputer, Ladonna Black Kemmerle

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

Statistical analysis of large data sets is commonly performed on computers using one of the many available programs. Most of these programs have been written for computers with internal storage large enough to handle nearly any data set. Recently, however, there has been a trend to computers with more limited storage capabilities. New programs must be written or old programs adapted so that large data sets may also be analyzed on these smaller machines.

This report describes a program to analyze data from a balanced experiment of crossed and/or nested design. It was written for the Data General Nova minicomputer …

Numerical Solution Of A Quadratic Matrix Equation, George J. Davis

Mathematics & Statistics ETDs

This paper is concerned with the efficient numerical solution of the matrix equation AX2 + BX + C =0, where A,B,C and X are all square matrices. Such a matrix X is called a solvent. This matrix equation is very closely related to the problem of finding scalars lambda and nonzero vectors x such that (lambda2A + lambdaB + C)x=0. The latter equation represents a quadratic eigenvalue problem with each lambda and x called an eigenvalue and eigenvector, respectively. Such equations have many important physical applications which we survey.

By presenting an algorithm to calculate solvents, we show how the …

The Effects Of A Teen Mother Program On The Growth And Development Of The Child, Barbara Mccarthy

Loma Linda University Electronic Theses, Dissertations & Projects

Teen-aged childbearing is a serious social, economic and health problem which has now reached epidemic proportions in the United States. Teen pregnancies have been shown to produce infants of low birth weight, of higher risk to disease and of slower growth and development.

Many programs have been developed by the state and federal government to help the young mother better cope with the problems of pregnancy. These Teen Mother programs combine the opportunity to complete a high school education with instruction in the special skills needed for parenting. This study was designed to investigate the growth and development of the …

A Comparison Of The Empathy Of Registered Nurses Practicing Primary Nursing As Compared To That Of Registered Nurses Practicing Team Nursing, Carol Milardo Floriani

Loma Linda University Electronic Theses, Dissertations & Projects

Historically the most outstanding feature of the nursing profession has been its genuine concern for the human being, and quality care of the sick has been its manifestation. However, technology with its high level of development and pervasiveness in the culture of the United States has threatened not only our society at large but also the nursing profession. "Depersonalized" and "nursing" are contradictory terms, and if used together certainly cannot denote a high quality of nursing care. In order to meet this threat, concerned health care professionals are studying ways to increase the empathetic element in nursing care in order …

The Effect Of Post-Hospital Nursing Intervention On Success In Breastfeeding, Melinda Hoskins

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to compare the proportion of women in the experimental group who had a successful breastfeeding experience following post-discharge nursing intervention with the proportion of women in the control group who had a successful breastfeeding experience without nursing intervention. Criteria defining success in breastfeeding were established before the study. Chi-square analysis was used to test for significance with the preset level of significance being α = 0.05. The sample comprised 25 mother-infant dyads with 12 in the experimental group and 13 in the control group. Both groups were similar in type of delivery (spontaneous or …

The Effect Of A Values Clarification Strategy On The Smoking Behavior Of Pregnant Women, Jean Eiber

Loma Linda University Electronic Theses, Dissertations & Projects

The null hypothesis of this study stated that there would be no significant difference (α=.05) in the change in smoking behavior following a teaching intervention to discourage smoking in pregnant women between those who completed a values clarifying strategy prior to the intervention and those who did not. Forty subjects were randomly assigned 20 to an experimental group and 20 to a control group. Both groups completed a pretest questionnaire concerning demographic data and smoking behavior. Information regarding the adverse effects on the fetus and on the developing child of smoking was presented to each subject by the researcher. The …

Student Profile, Fall 1979, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1979.

Culture Shock And Adaptation Among Student Missionaries To Japan, Sheryl J. Craig

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to delineate certain parameters of the experience of student missionaries to Japan. This study was a longitudinal, descriptive study which identified background characteristics, aspects of the adaptation process, and stages and intensity of culture shock.

A group of twenty-seven student missionaries were followed from their arrival in Japan, which occurred over a three-month summer period, through the following May, just prior to their expected departure. Data were gathered using interviews, questionnaires, a semantic differential (to measure attitudes), and the State-Trait Anxiety Inventory.

The time when subjects were most at risk for high anxiety, poorer …

Double Stochastic Integrals, Tsung-Dow Huang

Mathematics & Statistics ETDs

In this paper we study the double stochastic integral or stochastic quadratic form

Q =integreal(integral(phi(x,y)Z(dx)Z(dy) ))

with respect to a Gaussian random spectral measure Z. Letting F be the corresponding spectral distribution function, the kernel function is required to satisfy a) the function phi(x,x) is integrable respect to F and b) phi(x,y) is square integrable with respect to FxF. A definition of Q is given in terms of a carefully constructed sequence of step functions converging to phi. Iterated integral formulae, a discussion of the stochastic contribution to Q due to the diagonal values of phi, and an improvement of …

Treatment Of Persistent Open-Bite Malocclusions With Interarch Elastic Fixation, Kent L. Phillips

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to investigate the changes in the facial complex after treatment of persistent anterior open-bites with Dr. R. M. Ricketts' "squeeze treatment." This treatment method requires heavy elastic fixation for one month in conjunction with placement of T-loop arches.

Twelve open-bite patients were selected for the study. Quantative[sic] measurements from lateral cephalometric and laminagraphs of the temporomandibular joint were also evaluated. Qualitative observations were obtained from the periapical radiographs, models, and photos.

Tooth extrusion occurred in varying amounts followed by alveolar crest and apical repair.

Statistical significance was shown in the correction of incisor overbite, …