In this thesis we investigate the extension of certain theorems
of additive number theory to three algebraic systems. A generalization
of a theorem by Cauchy and Davenport on the cardinality of the
sum of two sets of residue classes is given. We obtain and compare
estimates for the order of...
Allen Freedman defined a density space to be the ordered pair
(S,𝓕) where S is a certain kind of semigroup called an s-set and 𝓕
is a special type of family of finite subsets of S called a fundamental
family on S. Several properties for density spaces are
obtained, and...
This thesis treats the problem of enumerating equivalence
classes of Euler paths of full graphs. A full graph
is a complete, unordered, graph with no loops or repeated
edges. Two Euler paths are equivalent if and only if one
can be transformed into the other by a finite sequence of...
An algorithm is described for determining the vertices
and supporting planes (or lines) of the convex hull
of a given set of N distinct points in 3-space. The
method involves determining a finite sequence of convex
hulls, each successive convex hull being a better approximation
to the convex hull of...
This thesis contains a collection of properties of the greatest integer part function which were obtained by an extensive literature search. A few original properties are stated and proved and some of the properties which were found unproved in the literature are proved.
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...
This thesis brings together under one cover a survey of the
history of the real number pi along with a study of the present state
of its theory, application, and calculation.
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...
This thesis contains a collection of summation formulas for
the greatest integer part function. Proofs are supplied for original
results and for those formulas which are stated without proof in the
literature. References are given for formulas and proofs which
appear in the literature.
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.
Temporal and spatial patterns of daytime cloudiness in the
Willamette Valley of Oregon were studied by utilizing monthly and
daily sky cover data published by the U. S. Weather Bureau for the
Portland, Salem, and Eugene stations. The 15-year period, 1949
through 1963, was selected as the maximum reliable period...
The fate of hexachlorophene, a widely used bactericide, was
investigated using both intact male rats and rabbits and liver microsomes
from male rats. Hexachlorophene administered intraperitoneally
was found to be rapidly absorbed and distributed to all the
tissues of the animals. Excretion of the chemical in both species
occurred slowly,...
The subcellular fractions of liver and kidney from three bearded
seals (Erignathus barbatus nauticus) and three walrus (Odobenus
rosmarus divergens) were analyzed for cadmium and mercury content,
and the results were compared with the results of subcellular
fractionation of the same organs from two sea lions (Zalophus callfornianus
californianus) obtained...
Geometric design standards have not been developed specifically for low volume roads. Design standards and criteria are extrapolated from higher standard roadways that are often not relevant to low volume roads. Safety is a primary criterion used for selection of design standards along with economic, financial, social and environment factors....
Evaluation of the safety hazards along a highway is usually
performed at specific locations and on known hazards. But, it is also
important to find any unrecognized hazards and their locations. Many
factors contribute to accident potential, and the combined effect of
several of them could produce a hazard that...
The development of a pavement management system for low-volume roads is a difficult task. There are many interrelated activities that must be considered, such as planning, design, construction, maintenance, and pavement evaluation. This paper addresses the evaluation and maintenance components of a pavement management system for low-volume roadways and provides...
Detailed current profiles between the sediment-water interface
and 20 cm above it reveal a viscous sublayer in the bottom boundary
layer on the Oregon continental shelf. Data from three field experiments
are used to test fundamental assumptions about boundary layer
flow in the ocean. The first study, discussed in Chapter...
Three experiments whose objectives were to investigate cover
crop kill by winter freeze, weed suppression by 'Micah' barley and
other spring cereals, and allelopathic potential of cereal covers
were conducted at the Vegetable Research Farm and in the greenhouse
and growth chamber facilities at OSU in 1989/90. Kill by winter...
Numerous analytical aids are available to apple producers to assist them in the decision problem of choosing among alternative apple harvesting systems. However, a majority of these techniques
fail to recognize the effect of apple orchard yield variability on system performance and economic efficiency. Furthermore, many of the suggested procedures...
Cereal crops cultivated in Mali, Mauritania and Senegal consist
primarily of sorghum, millet, rice and maize. They form the gramineous
crops that, are programmed for the agricultural improvement of
the Senegal River Basin. Twelve economically important insect pests
on these crops were selected for study and treated with regard to...
This multidisciplinary study integrates remote sensing, stratigraphy, siliciclastic and carbonate sedimentology, tectonics, and petrography of the Nisai, Khojak and Sharankar Formations to reveal the Paleogene depositional, diagenetic and deformational history of the Katawaz Basin.
Study of Landsat Thematic Mapper (TM) digital data shows that maximum discrimination of different rocks is...
Three methods--radial compression strength, color indicators of decay and micro-toughness, an examination of tracheid fracture patterns, were evaluated for detection of early decay and for application to field use. Three-eighth-inch diameter plugs 3/4-inch long, cut from the sapwood and heartwood of a Douglas-fir pole free of decay, were decayed by...