The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
This thesis brings together under one cover a survey
of the history of the real number e along with a study
of the present state of its theory and calculation.
This white paper gives an overview of the software applications used by university presses to publish digital monographs. In addition, we will look at routes taken by university presses to move from all print to some e-publishing and list the supplemental online content that is typically offered for a fee.
We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
The height of an algebraic number A is a measure of how arithmetically complicated A is. We say A is totally p-adic if the minimal polynomial of A splits completely over the field of p-adic numbers. In this paper, we investigate what can be said about the smallest nonzero height...
By using continued fractions the set of positive
irrationals can be put in one to one correspondence
with the set of sequences of positive integers. The
entries of an arbitrary sequence of integers can be any
subset of Z and each integer appearing can occur once,
infinitly often, or anything...
Let A and B be two subsets of the set of all non-negative
integers with 0 ε A and O ε B. The sum of the sets A and B is
the set C = A + B = {a + b: a ε A, b ε B). For n...
In 1932 A. Ya. Khinchin gave the first partial solution of the celebrated 1931 αβ Conjecture of L.G. Schnirelmann and E. Landau of the density of sums of sets on integers, which was completely proved in 1942 by H.B. Mann.
Khinchin's theorem is proved along with theorems of P. Scherk...
In this thesis, we study conditions not involving density which
guarantee that a given positive integer is contained in a sum of sets
of nonnegative integers. We survey the literature, give more detailed
proofs of some known theorems, develop some new theorems,
and make some conjectures.
The Rainbow hydrothermal plume was
discovered during a recent geophysical survey along
200km of the Mid-Atlantic Ridge (MAR), SW of the
Azores Triple Junction, in which at least seven new sites
of hydrothermal activity were identified. Here, we present
the first hydrographic study of the Rainbow plume, 36°
15'N, the...
A study of the running time of several known algorithms and several new algorithms to compute the n[superscript th] element of the Fibonacci sequence is presented. Since the size of the n[superscript th] Fibonacci number grows exponentially with n, the number of bit operations, instead of the number of integer...
This study was concerned with the flow of a magnetic self-propelled
ferrohydrodynamic fluid in a horizontal circular tube subjected
to axially varying temperature and magnetic field. The first
phase of the study involved the analytical solution to the governing
equations for the velocity and temperature profiles within the fully
developed...
It is well known that the Fibonacci numbers can be expressed in the
form Round {1/√5 λ₀[superscript n]} where λ₀ = (1 + √5)/2. [Knu75] We look at integer sequences which are solutions to non-negative difference equations and show that if the equation is 1-Bounded then the solution can be...
The Euler-MacLaurin sum formula has appeared in the titles
of two quite recent papers whose authors were primarily interested
in certain applications. In this paper a somewhat different approach
to the myriad of formulas for summation, integration, differentiation,
etc. , is based on the simple identity which defines the set...
Four cell lines derived from embryonic tissues of four species
of salmonid fishes, and one from a hepatoma in rainbow trout have
been established in this laboratory. The species represented are
chinook, coho, and sockeye salmon; and steelhead and rainbow trout.
All of these lines have been cultivated for approximately...
If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...
In this work, flow through synthetic arrangements of contacting spheres is studied
as a model problem for porous media and packed bed type flows. Direct numerical
simulations are performed for moderate pore Reynolds numbers in the range,
10 ≤ Re ≤ 600, where non-linear porescale flow features are known to...
Random number generation is important in many fields today. It is particularly important in the field of cryptography when generating nonce values, cryptographic keys, and other data required in many cryptographic applications. The proliferation of small, handheld devices that are typically connected to large networks via a wireless connection requires...
In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
Wright's Point, a 250-foot-high, sinuous, flat-topped ridge, projects eastward into Harney Basin, Harney County, Oregon. This 6-mile-long feature ranges from 200 to 600 yards wide and merges with a broad mesa at its western end. The nearest topographic highs are Dog Mountain, 2 miles southwest, and foothills of the Blue...
Bold, rocky headlands alternating with long curved beaches, sand spits, and bays -- these are the dominant landforms that make up the more than 40 miles of scenic coastline between Roads End and Tillamook Bay. With the exception of Cape Kiwanda, which is composed of sandstone, the headlands are made...
The United States has enormous deposits of oil shale which, if developed, could provide energy resources for centuries. Because of the vast size of these deposits, they are currently receiving a great deal of attention. This issue of The ORE BIN is devoted to a discussion of oil shale --...
Let us travel the 65-mile length of the Columbia River Gorge for a closer look at the rock formations and geology of the area. We will supplement our observations with information from the literature on the geology of the Gorge and try to put together a picture of how the...
The procedures outlined in this publication show you how to estimate standing volume and annual growth of timber stands—areas that are uniform in age, stand characteristics, and species. Estimates of volume and growth are helpful in planning when to harvest or how much to remove in a thinning operation. These...
This compilation by the School of Oceanography of Oregon State University lists in chronological order the oceanographic reports published in 1977. It also lists theses for which degrees were awarded in 1977. This is the fourth annual update of our reference 74-1 which brought together a listing of all the...
Hydrodynamic forces on a cylinder oscillating horizontally
underwater with its axis perpendicular to the motion
were measured at the Oregon State University Wave Research
Facility. The cylinder had an outer diameter of 12 inches
and a length of 12 feet. For the data presented herein, the
maximum displacement of the...
The occurrence of seed-producing wheat x jointed goatgrass hybrids in infested wheat fields suggests the possibility of gene flow between the two species. This study investigates 'Madsen' wheat x jointed goatgrass F₁ and reciprocal backcross derivatives produced in experimental field plantings. Electrophoresis of the high molecular weight (HMW) glutenin seed...
Mathematical sophistication increases rapidly as students transition from lower- to upper-division physics courses. Complex algebra is one of the mathematical tools that is not introduced or used in lower-division physics courses but is pervasive throughout upper-division courses. In this dissertation, I study middle-division physics students' developing fluency with complex number...
The purpose of this study was to test two assumptions. They
are that factors in a child's background correlate with the notion of
conservation and that additional mathematical instruction will result
in a higher level of maturity of the notion of conservation as well as
increased achievement in mathematical skills....
A fundamental question related to any Lie algebra is to know its subalgebras. This is
particularly true in the case of E6, an algebra which seems just large enough to contain the algebras which describe the fundamental forces in the Standard Model of particle physics. In this situation, the question...
Heat transfer to moving packed beds of solids has been studied
extensively but predictions are usually specific to the experimenter's
own equipment. In order to obtain a more general predictive equation,
the heat transfer coefficient was measured for a single vertical tube
immersed in a moving packed bed of glass...
This compilation by the School of Oceanography of Oregon State University lists in chronological order the oceanographic reports published in 1975 and 1976. It also lists theses for which degrees were awarded in 1976. This is the third annual update of our reference 74-1 which brought together a listing of...
This compilation lists in chronological order the oceanographic reports published in 1974 and 1975. It is the second annual update of our reference 74-1 which brought together a listing of all the numbered series issued, 1955-1973. Reference 75-1 listed 1972-1973 and 1974 reports. It also lists theses for which degrees...
This compilation lists in chronological order the oceanographic reports published in 1972, 1973 and 1974. It is an update of our reference 74-1 which brought together a listing all the numbered series issued, 1955-1973. It also lists theses for which degrees were awarded in 1974. A theses listing for 1962-1973...
In 1955 one oceanography report was issued by Oregon State University. The School of Oceanography now issues between 35 and 50 reports per year. This compilation lists in chronological order all oceanographic reports published through 1973. It also lists theses for which degrees were awarded between 1962 and 1973. Both...
Several efforts have recently been made to relate the displacement of swimming three-link systems over strokes to geometric quantities of the strokes. In doing so, they provide powerful, intuitive representations of the bounds on a system’s locomotion capabilities and the forms of its optimal strokes or gaits. While this approach...
Computer and network security systems rely on the privacy and authenticity of information, which requires implementation of cryptographic functions. Software implementations of these functions are often desired because of their flexibility and cost effectiveness. In this study, we concentrate on developing high-speed and area-efficient modular multiplication and exponentiation algorithms for...
Perea, Duñabeitia, and Carreiras (2008) found that LEET stimuli, formed by a mixture of digits and letters (e.g., “T4BL3” instead of “TABLE”), produced similar priming effects as regular words. This finding led them to conclude that LEET stimuli automatically activate lexical information. The present study examined whether semantic activation occurs...
The Brush less Doubly-Fed Machine (BDFM) has the potential to be a more cost effective replacement for conventional induction or synchronous machine drives. The BDFM has two stator windings: a power winding and a control winding. An electronic power converter of variable voltage and frequency is connected to the control...
Following trends in higher education that emphasize quantitative analytical approaches to assess educational outcomes, academic libraries are increasingly attempting to quantify their impacts on student learning and demonstrate their value to the university’s educational mission. By applying learning analytics techniques to library use and instructional data, libraries have especially focused...
Chlorine – 36 (36Cl) is produced naturally, through neutron activation of stable chlorine during nuclear weapons detonation, or from neutron capture on residual chlorine in graphite piles. It has a half-life of 301,000 years and decays by the means of beta decay with an average energy of 236.33 keV. Due...
The experiment was conducted to compare multiple pest (weed, soil arthropod and diseases) suppression by cereal cover crops in 'Selva' and 'Totem' strawberry. In addition, perlite was used to compare improvement of soil and root aeration which might modify strawberry black root rot complex. Small-seeded summer annual weeds were suppressed...
During the Late Pre-Hispanic period, settlements in Northern Highland Ecuador were organized under a number of chiefdoms. While a basic hierarchical political system is described in the ethnohistoric literature, the nature of the interactions between specific settlements has remained unknown. This study utilizes two methods for describing the degree and...
Cultural and developmental characteristics of a collection of
Anthracobia melaloma with a brown hymenium and a barred exterior
appearance were examined. It grows well in culture on CM and
CMMY agar media and has a growth rate of 17 mm in 18 hours. It is
heterothallic and produces asexual multinucleate...
Rivers impacted by human activities often have multiple stressors present. The effects of multiple stressors on biological communities can often be difficult to predict, due to the potential for complex interactions between stressors and communities. This thesis explores the impacts of two stressors often associated with agricultural land use, increased...
This investigation was concerned with the work values of tenth
grade girls and their relationship to the girls' aspirations and expectations
for future education and marriage-career roles.
The instrument employed for the value measurement was the
Work Values Inventory of Super (1968). An original questionnaire was
developed by the researcher...
The Farnesoid X Receptor (FXR) is a member of the nuclear receptor superfamily of transcription factors that plays a key role in the regulation of bile acids, lipid and glucose metabolisms. The regulative function of FXR is governed by conformational changes of the ligand binding domain (LBD) upon ligand binding....
Submarine volcanic eruptions and intrusions construct new oceanic crust and build long chains of volcanic islands and vast submarine plateaus. Magmatic events are a primary agent for the transfer of heat, chemicals, and even microbes from the crust to the ocean, but the processes that control these transfers are poorly...
Research shows that one in four migrant farmworkers experienced an episode of one or more mental health disorders such as stress, depression, or anxiety in their lifetime. The purpose of this mixed methods study was to explore experiences and perceptions related to stress and depression among Latino migrant and seasonal...
The perception of a long-term cost advantage of synthetic infill turf systems relative to natural grass systems has contributed to a rise in their popularity in the USA. However, few comprehensive cost assessments of natural grass and synthetic infill systems exist. There are also no studies looking at interactions between...
Severity rating systems are fundamental to understanding the impacts of disturbance agents in forest stands. The balsam woolly adelgid (BWA), Adelges piceae (Ratzeburg) (Hemiptera: Adelgidae), is an invasive forest pest in North America that infests and causes mortality in true fir, Abies spp. There is currently no single system for...
The purpose of this research was to study teenagers'
consumer credit attitudes, knowledge, and use. More specifically,
the objectives were (1) to determine the relationships
between the variables attitudes, knowledge, and use, and
(2) to compare the use of credit with the independent variables
sex, income, employment, spending, saving, and...
Mountain Quail (Oreortyx pictus) populations have declined in many areas of the western Great Basin during the past century. Yet the life history of this species is little known. From 1997 to 2000, I studied radio-marked Mountain Quail in Hell's Canyon in northeastern Oregon, in the Cascade Mountains of southwestern...
In the early 1980's the first evidence of biological alteration of basalt glass (sideromelane) was published. Since that time additional evidence, including DNA staining, isotopic abundance and chemical mapping, has come to light suggesting that this unique alteration of glass can be attributed to microbial activity. Microbial alteration textures have...
Equal value gray scales are frequently employed by cartographers to choose gray tone area
symbols. Several researchers have tried to quantify perceived gray tone as a function of percent area inked or
reflectance but results have varied. The influence of pattern and texture on gray tone perception is considered
a...
A genetic selection study to determine the effects on egg hatchability and subsequent chick performance of Japanese quail (Coturnix japonica) eggs incubated at 100 F dry bulb temperature (Control, Line C) when compared to other eggs incubated at 102 F (Selected, Line S) was conducted over 10 consecutive generations. Eggs...
A fossil-calibrated phylogenetic framework based on exemplars from each of the four taxonomic sections within Pinus was created using multiple nuclear and chloroplast loci. Calibration at the well-defined subgeneric split within Pinus with either fossil leaves and cones (ca. 45 million years ago) or fossil wood (ca. 85 million years...
Oregon's estuaries have been significantly altered by human activity, so that many former tidal wetlands no longer provide the functions, such as fish and wildlife habitat, erosion protection from storms, and water quality maintenance, that preserve the integrity of estuarine ecosystems. Oregon has been a leader in wetland protection and...