Digital Commons Network^™

Convergent Factorial Series Solutions Of Linear Difference Equations, W. J. Fitzpatrick, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

The Conjugate Of A Singular Functional Differential Operator, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

An explicit representation of the conjugate of a singular functional differential operator is given. Some theorems and their corollaries are proven.

K-Theory Doesn't Exist, Ethan Akin

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Quasi-Triangular Matrices, Joanne Dombrowski

Mathematics and Statistics Faculty Publications

It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.

Comparison Of The Fisher's Method Of Randomization With Other Tests Based On Ranks And The F-Test, Francisco J. González

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

Classical statistical inference methods (parametric methods) have a common denominator, i.e. a population para meter (μ, o, n) about which we wish to draw inferences from a random sample. R) are selected. Point estimators of the parameters (X, S, Their sampling distribution is used to construct hypothesis testing decision rules or, confidence interval formulas. This is the reason for calling this method of obtaining inferences a parametric method. They are based on knowing the distribution of the population random variable from which the sampling distribution of the point estimator is determined. In addition, it is generally assumed that the population, …

Factor Analysis Method, Stephen Hauwah Kan

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

The logical steps performed when doing a factor analysis can be classified into three operation s. The first step concerns the exact mode of analysis and involves the type of centering, scaling and formation o f sums of squares . The second step involves extraction of initial factors. The algebraic basis of the factors are rotated in the last step to obtain a more easily interpreted set of factors. At each step several different methods have been suggested and appear in the literature. Two primary modes of factor analysis are commonly used an d they are denoted as R-mode and …

Estimation Of Μy Using The General Regression Model (In Sampling), Michael R. Manieri

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

The methods of ratio and regression estimators discussed by Cochran(l977) are given as background materials and extended to the estimation of µy, the population mean of the Y's, using a general regression model.

The propagation of error technique given by Deming(l948) is used as an approximation to find the variance of the estimator µy.

Examples are given for each of the various models. Variances of μy are calculated and compared

Effects Of Corroboration Instructions In A Rape Case On Experimental Juries, Valerie P. Hans, Neil Brooks

Cornell Law Faculty Publications

The rules of evidence have evolved, in the main, to protect the jury from being misled, prejudiced or confused by certain types of evidence which might be presented to it. The rules attempt to achieve this purpose by utilizing a number of techniques, which were fashioned by common law judges. First, evidence which gives rise to these dangers might be excluded from the jury's consideration altogether. Secondly, such evidence might have to be corroborated by other evidence before the jury is permitted to reach a verdict in the case. Thirdly, the judge might be compelled to instruct the jury that …

Leaf Litter Processing In Aquatic Systems Two Variable Model, Boyd Jay Hanson

Theses and Dissertations

The adequacy of the negative exponential model with one independent variable, days or accumulated time, as a descriptive equation for aquatic leaf litter processing was examined. The effect of adding a second independent variable, degree days or accumulated temperature, to the model was also examined. The two variable negative exponential model was shown to have at least two advantages over the single variable model. The two variable model adequately fits litter processing data for more cases than the single variable model. The expanded model also allows determination of rate coefficients for various temperature levels of the experiment rather than assuming …

Student Profile, Fall 1977, 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, 1977.

The Effect Of Warmed Humidified Oxygen On The Temperature Of Depressed Newborns, Earlene Scharping

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to evaluate the effect of warmed humidified oxygen on the body temperature of depressed newborns and compare it to the effect of unwarned un-humidified oxygen administered under similar circumstances. The sample group consisted of a total of ten infants (five control and five experimental) with birth weights > 2000 gms who had an Apgar score of less than seven at birth and who required the administration of oxygen. The control group received oxygen in the routine delivery room manner (unwarned and un-humidified). The experimental group received oxygen which had been warmed to a temperature of …

Nonlinear Resonance In Celestial Mechanics With Applications To The Rotation Of Mercury, Timothy John Burns

Mathematics & Statistics ETDs

Two planar, fixed-orbit models of the rotation of the planet Mercury are studied using the method of averaging. The first model includes only the solar torques on the planet's permanent asymmetry and on its solar tidal bulge. For this model, it is shown that the zero of the averaged tidal torque corresponds to an asymptotically stable periodic solution of the second kind which, for two tidal torque representations, is close to the asymptotically stable equilibrium point corresponding to an exact 3:2 spin-orbit resonance. This periodic solution restricts the possible initial rotation states of Mercury, and it may account for the …

Numerical Methods For Multipoint Boundary Value Problems, Mahoud Abdul-Ghani Sarhan

Mathematics & Statistics ETDs

Existence and uniqueness theory for ordinary differential systems subject to linear constraints is presented in some detail. Finite difference schemes, shooting methods, orthonormalization procedures and projection methods are studied. Orthonormalization procedures are shown to be ineffective for the general linear problem. Projection methods for linear differential systems with fairly general multipoint boundary conditions are thoroughly developed. Two particular examples of such methods are given: Galerkin and collocation. The various numerical methods considered are evaluated and compared. Several examples are discussed and numerical results are displayed .

Ultrasonic Versus Hand Filing Of The Human Root Canal System, Howard W. Scholz Jr.

Loma Linda University Electronic Theses, Dissertations & Projects

A comparison was made of ultrasonic filing versus hand filing using three solutions to flood the canals of 24 extracted human maxillary central incisors. A modified PR-30 Cavitron insert was used in a Cavitron 1010 unit for the ultrasonic filing. The clinical crown was removed with a diamond saw and water spray at the cemento-enamel junction. The two major groups were ultrasonic filing versus hand filing; the three subgroups were solution/solvents - 10% EDTA, 2.0% NaOCl, and distilled water.

After filing, the roots were grooved longitudinally with a high speed bur and cracked opened with a mallet and chisel. The …

Community Health Nursing Assessment And Counseling Of The Breast-Feeding Primipara, Donita Rotherham

Loma Linda University Electronic Theses, Dissertations & Projects

An experimental study was conducted with twenty-one breast-feeding primiparas during the initial four-week post-partal period to test the effect of in-home community health nursing assessment and counseling on the breast-feeding success rate. It was hypothesized that mothers receiving assessment and counseling regarding physical, informational and psychosocial needs, would be more successful than those who were not counseled.

Criteria for success were: (1) breast-feeding at four weeks postpartum, (2) an adequate milk supply as evidenced by no need for formula supplementation to keep the baby satisfied, (3) an infant weight gain of one to two pounds during the four-week period, and …

The Effect Of Endodontic Therapy On The Incidence Of Radiation Caries In Dogs, James A. Abbott

Loma Linda University Electronic Theses, Dissertations & Projects

Endodontic therapy was evaluated as a possible control or prevention modality of radiation type dental caries in dogs. Two adult male dogs with permanent dentitions had endodontic therapy performed on alternating teeth in each jaw. The nontreated teeth served as controls.

The dogs were irradiated with 7000 rad Cobalt-60 radiation fractionated over an eight week period. The dogs were killed at 60 and 182 days post-irradiation. The teeth were removed from the jaws and immersed in methylene blue dye, sectioned, and the dye penetration pattern photographed. Diffusion of the dye into the tooth structure was quantified and statistically analyzed.

A …

Community Health Nursing Assessment And Counseling Of The Breast-Feeding Primipara, Donita Rotherham

Loma Linda University Electronic Theses, Dissertations & Projects

An experimental study was conducted with twenty-one breast-feeding primiparas during the initial four-week post-partal period to test the effect of in-home community health nursing assessment and counseling on the breast-feeding success rate. It was hypothesized that mothers receiving assessment and counseling regarding physical, informational and psychosocial needs, would be more successful than those who were not counseled.

Criteria for success were: (1) breast-feeding at four weeks postpartum, (2) an adequate milk supply as evidenced by no need for formula supplementation to keep the baby satisfied, (3) an infant weight gain of one to two pounds during the four-week period, and …

Xeroradiography & Conventional Radiography : Comparative Imaging Of The Temporomandibular Joint, Nelson R. Gatov

Loma Linda University Electronic Theses, Dissertations & Projects

An investigation was conducted to evaluate the application of Xeroradiography for imaging the Temporomandibular Joint using the Updegrave and Weinberg positioning boards and to compare these images to those obtained by conventional radiography using the same positioning boards.

A cadaver head in which three spherical radiopaque implants had been placed was used in this study. A General Electric Model 1000 (Dental Unit) was the source of radiation. The conventional radiographs were produced on Dupont Cronex 2DC film and processed by a Phillips 810 automatic processed by a Xerox "125 System".

MAGNIFICATION

A comparison of the implant sphere diameters and the …

Relationship Between Some Demographic Characteristics And Adverse Reactions Experienced By Women Undergoing A Therapeutic Abortion While Awake, Karen K. House

Loma Linda University Electronic Theses, Dissertations & Projects

With the liberalization of abortion laws by the Supreme Court in 1973, American women have been able to obtain therapeutic abortions in hospitals and out-patient clinics in ever increasing numbers. With the increased number of women seeking abortions the medical field has responded with abortion procedures that are safe and relatively quick. With the speed doctors use to perform the procedure, many women may wish to take advantage of the medically safer method of abortion under local anesthesia. However, some women are unable to withstand the psychological and physical stress associated with a therapeutic abortion while awake. It would be …

Community Health Nurse Influence On Retiree Health Planning, Patricia Hora

Loma Linda University Electronic Theses, Dissertations & Projects

The number and percent of the population over the age of 60 in the United States is increasing. The majority of these people (96%) are functioning in their own homes (Shanas, 1965). Physical health is important to the enjoyment and utilization of the added years of life. Therefore it seems important to find ways to meet the older citizen before the time of illness and help him/her to develop health goals and plans that will facilitate an optimal level of functioning and improve the quality of life.

The purpose of this study was to describe a method of intervening at …

A Random Differential-Equation Approach To Probability Distribution Of Bod And Do In Streams, William J. Padgett, G Schultz, Chris P. Tsokos

Faculty Publications

No abstract provided.

Apical Closure Induction Using Bone Growth Factors And Mineral Trioxide Aggregate, Kenneth W. Tittle

Loma Linda University Electronic Theses, Dissertations & Projects

This study compared the ability of three different bone growth factor combinations with that of Ca(OH)₂ to stimulate apical closure as well as the effectiveness of Mineral Trioxide Aggregate (MTA) as an apical barrier. Fifty-six roots of second and fourth mandibular premolars of seven six- month old beagle dogs were used. Periradicular lesions were created over a four week period. The canals were cleaned and shaped and filled with Ca(OH)₂ for one week. They were then irrigated and received one of seven different treatments in a balanced design. Growth factors were placed in a carboxymethylcellulose carrier and delivered …

Convex Cones And Dentability, J. C. Hankins, R. (Roy) M. Rakestraw

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

On The Mann Iteration Process In A Hilbert Space, Troy L. Hicks, John D. Kubicek

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of Singular Neutral-Differential Systems, W. J. Fitzpatrick, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

Noetherian operator theory is used to prove an existence theorem for a singular functional-differential system. An analogue of the standard existence and uniqueness results at an ordinary point follows as a corollary. © 1977 American Mathematical Society.

Regular Singular Differential Equations Whose Conjugate Equation Has Polynomial Solutions, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

Consider the n -dimensional singular differential system defined by the operator $L:(Ly)(z) = z^p y'(z) + A(z)y(z)$, where z is a complex variable and p is a positive integer. The solvability of the nonhomogeneous system $Ly = g$ depends on the solutions of the homogeneous conjugate system, $L^ * f = 0$, where $L^ * $ is the operator conjugate to L. We show that $L^ * f = 0$ has polynomial solutions if the constant matrix in the series expansion of $A(z)$ has at least one nonpositive integer eigenvalue. Also, we show that if $L^ * f = 0$ …

Positive Perturbations Of Unbounded Operators, Joanne Dombrowski

Mathematics and Statistics Faculty Publications

This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part.

Specific Hypotheses In Linear Models And Their Power Function In Unbalanced Data, Seyed Mohtaba Taheri

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

A hypothesis is a statement or claim about the state of nature. Scientific investigators, market researchers, governmental decision makers, among others, will often have hypotheses about the particular facet of nature, hypotheses that need verification or rejection, for one purpose or another. Statisticians concerned with testing hypotheses using unbalanced data on the basis of linear models have talked about the difficulties involved for many years but, probably because the problems are not easily resolved, there is yet no satisfactory solution to these problems

Evaluation Of An Experiment After Analysis Of Variance, Abdullah Sulaiman Atheem

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

If experimental data are obtained according to an experimental design for which analysis of variance (AOV) is appropriate, the result of the analysis is one of the following decisions:

1. A significant difference exists among treatment effects.

2. No significant difference exists.

Interpretation in the first case has been studied very thoroughly by many statisticians resulting, for example, in the multiple comparison procedure. Too often, in the second case, the AOV analysis is thought to be completed with no further attempt to interpret a nonsignificant outcome.

Of the many possible explanations for significance in the first case, the multiple comparison …

A Proof Of Convergence For The Tridiagonal Ql Algorithm In Floating-Point Arithmetic, James George Sanderson

Mathematics & Statistics ETDs

Numerous routines are available to find the eigenvalues of a real symmetric tridiagonal matrix. Since it is known to converge in exact arithmetic, the tridiagonal QL algorithm with origin shift is widely used. Here we analyze the algorithm in floating-point arithmetic. This analysis suggests two modifications to the EISPACK implementation TQLl that enable one to prove correctness and hence convergence of the routine.

Also, it is known that the implicit and explicit versions of the QL algorithm produce the same results in exact arithmetic. A counter-example to the floating-point analog of this theorem is presented.