Physical Sciences and Mathematics Commons^™

Existence And Uniqueness For Nonlinear Neutral-Differential Equations, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

Fixed point theorems are used to prove existence and uniqueness of the C1 solution of the initial-value problem for a functional-differential equation of neutral type. © 1971, American Mathematical Society. All Rights Reserved.

On Completeness In Quasi-Uniform Spaces, John W. Carlson, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

This paper presents existence, uniqueness, and continuous dependence theorems for solutions of initial-value problems for neutral-differential equations of the form (equation omited), where f, g, and h are continuous functions with g(0, x0)=h(0, x0) = 0. The existence of a continuous solution of the functional equation z(t) =f(t, z(h(t))) is proved as a corollary. © 1971 American Mathematical Society.

A Variable Coeficient Of Restitution Experiment On A Linear Air Track, R. Gruebel, James C. Dennis, L. Choate

Faculty Publications

A system consisting of two pendula attached to an air cart is mathematically analyzed, and the coefficient of restitution is shown to pass through a deep minimum. The solution to the small angle equation of motion is transcendental and provides an exercise in graphical methods for the beginning mechanics student.

Small Momentum Transfer Structure Factor Of Quantum Liquids, Robert Hallock

Robert Hallock

The liquid structure factor of 3He has been determined in the momentum-transfer range 0.2 to 1.0 Å-1. At temperatures near 0.4 K there is evidence for a gentle change of slope of the structure factor in the region near 0.35 Å-1 Comparison with the work on helium-4 suggests that the observed behavior is a general feature of the two fluids.

An Inexpensive Target Cell For The Study Of Liquids And Gases By X-Ray Scattering, Robert Hallock

Robert Hallock

No abstract provided.

The Impulse And Doublet, Richard C. Heyser

Unpublished Writings

The basic problem to which this paper is directed is that of characterization of the acoustic field perceived by an observer and due to a loudspeaker situation in a room. Before immediately jumping into an apparent solution and presenting the results of a set of measurements it is essential to present the considerations leading to that measurment...First, there are at least two ways of characterizing the same acoustic signal if we restrict our attention to a well defined set of parameters...Secondly, since both characterizations define the same thing it must be possible to translate information without loss from one domain …

Terminal Talk - The Wofford Connection - January 1971, Wofford College Computer Center

Terminal Talk

No abstract provided.

Optical Studies Of Metal- Semiconductor Transmutations Produced By Intercalation, Juana Vivó Acrivos, Y. Liang, J. Wilson, A. Yoffe

Faculty Publications, Chemistry

Spectra of the alkali metal intercalation products of MoS2 and NbSc2 arc interpreted in terms of a previously published band model.

Substituted ℓ-Dialkylaminomethyl-3-Phenyl-1-Naphthalenemethanols, Richard Elroy Davis

Master's Theses

Malaria is still a world health problem. Established antimalarial drugs have become ineffective in many areas because of the emergence of resistant strains of malaria. New efforts have been initiated to study variations of new untried compounds and earlier structures shown to have activity. The 4-quinolinemethanols fall into the latter class. The great activity of the 4-quinolinemethanols is offset by their phytotoxic activity.

The possibility that substituted o(-dialkylaminomethyl-3-phenyl-1- naphthalenemethanols, as analogs of the 4-quinolinemethanols, would be effective antimalarials, yet not have the phototoxic side effect, is discussed in this paper. Synthetic pathways to the naphthalenemhethanols are discussed. Experimental procedures are …

Patterns Of Lakeshore Usage Around Lake Bemidji, Charles S. Holt, Roger A. Schulz, Curtis M. Hadland

Journal of the Minnesota Academy of Science

ABSTRACT - The eutrophication of lakes has been the subject of much discussion in scientific journals and the popular press .. Usually the e.utrophication process is accelerated by human activities. This study evaluates the extent of lakeshore development and recreational use of Lake Bemidji in north central Minnesota and examines the willingness of lakeshore residents to be assessed for corrective measures to halt deterioration of this valuable recreational lake. The shoreline of Lake Bemidji is highly developed, and the high density human habitation represents a potential source of nutrients from percolation through the sand and gravel soils which surround the …

A Bayes Rule For The Symmetric Multiple Comparisons Problem, Aban Nawabi

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

Many procedures have been proposed for the symmetric multiple comparisons problem in recent years. These include a "protected" least significant difference procedure due to Fisher (FSD), a multiple range rule by Duncan, and HSD (honest significant difference) procedure by Tukey, and a procedure for testing all contrasts by Scheffe.

The tests which are mentioned above are either comparison-wise or experiment-wise approaches. The probability of Type I error is intended to be a for all comparisons made when an experiment-wise approach is used. Whereas, the probability of Type I error referred to each comparison is a comparison-wise approach. Both approaches can …

A Non-Parametric Sequential Signed-Rank Test And Comparison With The Sequential T-Test, Kuei-Mei Even Sher

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

Sequential analysis is a method of statistical inference whose characteristic feature is that the number of observations required by the procedure is not determined in advance of the experiment. The decision to terminate the experiment depends, at each stage, on the results of the observations previously made.

So far the general sequential t-test (without truncation) is a standard test for the mean of a normal distribution. A truncated sequential t-test has been developed by Suich and Iglewicz (1970). The difference between these two tests is that the former has a fixed critical value whenever the type I error (α) and …

A Skew-Hadamard Matrix Of Order 92, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

Previously the smallest order for which a skew-Hadamard matrix was not known was 92. We construct such a matrix below.

Some (1, -1) Matrices, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We define an n-type (1, -1) matrix N = 1 + R of order n ~ 2 (mod 4) to have R symmetric and R2 = (n - 1)/n. These matrices are analogous to skewtype matrices M = 1 + W which have W skew-symmetric.

Amicable Hadamard Matrices, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

If X is a symmetric Hadamard matrix, Y is a skew-Hadamard matrix, and XYT is symmetric, then X and Y are said to be amicable Hadamard matrices. A construction for amicable Hadamard matrices is given, and then amicable Hadamard matrices are used to generalize a construction for skew-Hadamard matrices.

Combinatorial Matrices, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We investigate the existence of integer matrices B satisfying the equation BBT = rI + sJ where T denotes transpose, r and s are integers, I is the identity matrix and J is the matrix with every element +1.

Some Results On Configurations, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

A (v, k, lambda) configuration is conjectured to exist for every v, k and lambda satisfying lambda(v-l) = k(k-l) and k - lambda is a square if v is even, x2 = (k - lambda)y2+(-1)(v-1)/2lamdaZ2 has a solution in integers x,y and z not all zero for v odd.

Integer Matrices Obeying Generalized Incidence Equations, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We consider integer matrices obeying certain generalizations of the incidence equations for (v, k, lambda)-configurations and show that given certain other constraints, a constant multiple of the incidence matrix of a (v, k, lambda)-configuration may be identified as the solution of the equation.

Recent Sediments Of Humboldt Bay, Eureka, California, Robert Wayne Thompson

Special Collections Archived Publications

Humboldt Bay is a coastal lagoon, 14 mi. long and a maximum of 4 mi. wide. The bay has three distinct segments, South, Entrance, and Arcata Bays, each of which occupies the seaward end of one or more stream valleys cut into Plio- Pleistocene paralic sediments. The segments are linked by narrow tidal channels which are bounded by a barrier spit on the west and by high valley interfluves on the east. Climate of the area is rainy temperate . Tides are of the mixed type with a mean range of 6.5 ft.

Textural variations of the surface sediments in …

Huxley Humus, 1971, Volume 01, Issue 07, Shirley Weston, Huxley College Of The Environment, Western Washington University

Historical Collection of Huxley Newsletters

No abstract provided.

Recent Meetings-Nebraska Section, Robert Fuller

Robert G. Fuller Publications

The fall meeting of the Nebraska Section of the AAPT was held 31 October 1970 at the University of Nebraska in Lincoln. The sessions were chaired by Professor Clyde Sachtleben, Hastings College.

Excitation Of The 2s State Of Atomic Hydrogen By Electron Impact In The Distorted-Wave Approximation - Angular Distributions, W. Neil Shelton, E. S. Leherissey, Don H. Madison

Physics Faculty Research & Creative Works

The excitation of ground-state hydrogen atoms to the 2s state by the impact of electrons with energies of 1 to 50 Ry (13.6 to 680.3 eV) has been calculated in the distorted-wave approximation with exchange included. The angular distributions of the scattered electrons at 1 and 4 Ry are compared with those derived from the close-coupling calculations by Burke, Schey, and Smith, and are compared with four different plane-wave theories at all energies calculated. Taking the close-coupling results as a standard, it is found that the distorted-wave angular distributions represent an improvement over those of the plane-wave theories.

Stenasellus Skopljensis Thermalis Ssp.N. (Crustacea, Isopoda) D'Une Source Chaude En Bosnie, Milan Meštrov, Romana Lattinger-Penko University Of Zagreb

International Journal of Speleology

The new subspecies Stenasellus skopljensis thermalis, from Banja Luka (Bosnie, Yugoslavia) is described. From the ecological point of view this form differs from the others because it inhabits underground waters of elevated temperature (240°C). Another constantly abundant species, St. hungaricus thermalis Mestrov, also occurs in Yugoslavia under the same ecological conditions, in the warm springs of Podsused near Zagreb. This indicates that these underground waters at elevated temperature are not accidental but preferred habitats for these forms, and confirms once again that thermal waters of this type are the biotopes-refuges in which certain relic forms are retained.

Dolomitized Pahasapa Limestone (Mississippian), Northeastern Sector Of The Black Hills, South Dakota, Petrography And Geological Setting, Abdullatif Najjar

Masters Theses

"The carbonates of the Mississippian Pahasapa Limestone in the northeastern sector of the Black Hills outcrops were examined in order to ascertain specific characters of the lithology in this area where the formation is predominantly a dolomite in contrast to adjacent areas where it is mainly a limestone. The Pahasapa seems to be uniform in thickness at the study areas and maintains a thickness of about 550 feet. Because of poor exposures, usually at the base or top, complete sections could not be measured. Much of the Pahasapa consists of coarsely crystalline dolomite containing varying proportions of crinoid plates, gastropods, …

Sediment Properties And Depositional Environment Of The Minnelusa Formation (Permo-Pennsylvanian), Northern Black Hills, South Dakota And Wyoming, El-Magtuf Taleb Taleb

Masters Theses

"Permo-Pennsylvanian sedimentary rocks of the Minnelusa Formation of the Black Hills uplift, South Dakota and Wyoming, can be divided into upper, middle and lower divisions on the basis of lithology. The upper portion of 150 to 200 feet consists of gray and yellow sandstone, with some carbonates and shales in some sections. The middle portion, about 200 to 220 feet thick consists of gray and red sandstone with carbonate members including the prominent dolomite member at the base; some of the carbonates are cherty. The lower portion, 20 to 60 feet thick, consists of pink sandstone, arenaceous dolomite and thin …

Ground Water Of The Uncompahgre Valley Montrose County, Colorado, Ted William Craig

Masters Theses

"Data from water quality tests of 50 wells and from general well information of 309 wells registered with the Colorado Division of Water Resources are presented for the area of Montrose County, Colorado, drained by the Uncompahgre River. This information, along with other pertinent information such as water laws and costs, is evaluated to determine the feasibility of increasing the use of ground water in the area. The drainage basin of the Uncompahgre River within the Montrose area bas three main geologic structures: the Uncompahgre uplift, the Montrose syncline, and the Gunnison uplift. All formations exposed in the area are …

Distribution, Petrology, And Environment Of The St. Louis-Ste. Genevieve Transition Zone In Missouri, Donald Howerton Fielding

Masters Theses

"In eastern Missouri, southeastern Iowa, and western Illinois - a transition zone, a body of rock consisting of several lithosomes which has a geographic extent measured in scores to hundreds of miles and which lies between a single overlying formation and a single underlying formation and which has lithologic and/or paleontologic properties common to both the overlying and the underlying formations, was found to exist between the St. Louis and the Ste. Genevieve formations. This transition zone is called the St. Louis-Ste. Genevieve Transition Zone, and is shown to possibly be due to continuous deposition between these two times and …

The Halogen And Uranium Content Of Sedimentary Rocks, Tektites, Impact Glasses, And Obsidians, Victor J. Becker Jr.

Masters Theses

"The iodine and uranium concentrations in sedimentary rocks were measured by irradiating the samples in a neutron flux, radiochemically separating iodine, and ß-counting the resulting activity. The values obtained for uranium are in good agreement with previous estimates of the uranium content in sedimentary rocks. The values obtained for iodine define a distribution pattern similar to that reported for chlorine and bromine, in contrast with the distribution pattern previously reported for iodine in sedimentary rocks. The concentrations of chlorine, bromine, iodine and uranium were determined in tektites, obsidians and impact glasses by neutron activation. The uranium content found in tektites …

Integrability Of The Sums Of The Trigonometric Series 1/2 Aₒ + ∞ [Over] Σ [Over] N=1 AN Cos Nθ And ∞ [Over] Σ [Over] N=1 AN Sin Nθ, John William Garrett

Masters Theses

"The trigonometric series C = 1/2 aₒ + ∞ [over] Σ [over] [n=1] a[subscript n] cos nΘ and S = ∞ [over] Σ [over] n=1 a[subscript n] sin nΘ, where {a[subscript n]} monotonically decreases to zero both converge almost everywhere to functions f and g respectively. f (or g) is L iff C (or S) is the Fourier series of f (or g) iff term-by-term integration of C (or S) is valid. There are three equivalent conditions, each of which implies that C is the Fourier series of f...."--Abstract, page ii.