Browsing by Department "Mathematics and Statistics"
Now showing items 181-200 of 283
Numerical Simulations of Conservation Laws in Random Heterogeneous Media
(2020-07-17)
Conservation laws play an important role in many areas of natural science. When we design numerical schemes for conservation laws, we usually assume that initial data and flux function (the rate of change of quantity of ...
On Chain and Duo Rings
(2018-07-26)
The aim of this work is to study a variety of concepts in a non-commutative setting,
which originally arose in Commutative Ring Theory. The discussion focuses particularly on
properties like hopficity and co-hopficity, ...
On Continuously Urysohn Spaces
(2010-08-03)
We study the properties of weakly continuously Urysohn (denoted by wcU ) and continuously
Urysohn (denoted by cU ) spaces. The class of continuously Urysohn spaces is known to contain the class of metrizable,submetrizable, ...
On Frobenius numbers in three variables
(2006-08-15)
Given a set of relatively prime positive integers
$\{a_1,a_2,\ldots, a_n\}$, after some point all positive integers are representable as a linear combination of the set with nonnegative coefficients. Which integer is the ...
On Functional Sure Independence Screening (fSIS) and Dynamic Spectral Featuring Extraction for Neuroscience Data
(2021-12-07)
This dissertation is composed of two parts. The first part introduces a methodology for high-dimensional functional variable screening and selection--the functional sure independent screening (fSIS). The fSIS method is an ...
On Galvin's Theorem and Stable Matchings
(2016-08-05)
In this thesis, we will discuss list edge coloring and its relation to stable matchings. In particular, we will present three proofs of Galvin's famous theorem that bipartite graphs satisfy the list edge coloring conjecture. ...
On Inverse Limits of Metric Spaces
(2017-07-22)
Inverse limit spaces have been a topic studied in various fields of mathematics such as Algebra, Measure Theory, and Topology. Here, we present a theorem that can be summarized as a game in which a given compact metric ...
On O-Basis Groups and Generalizations
(2007-08-15)
A class of finite groups which we call o-basis groups is generalized and explored. One
reason for interest in these groups lies with the concept's origins. The notion of o-basis
group arose from the study of the existence, ...
On Planar Embeddings of the Knaster V Lambda-Continuum
(2020-07-21)
A\v nusi\'c, Bruin, and \v Cin\v c have asked in \cite{Anusic2} which hereditarily decomposable chainable continua (HDCC) have uncountably many mutually inequivalent planar embeddings. It was noted, as per the embedding ...
On the Classification of Intermediate Range Missiles During Launch
(2020-05-13)
This thesis explores the comparisons and contrasts of different statistical method approaches to a missile system classification which is sufficiently rapid to be suitable for use during engagement. It is meant to extend ...
On the Conjugacy Theorems of Cartan and Borel Subalgebras
(2010-04-09)
We study the conjugacy theorems of Cartan subalgebras and Borel
subalgebras of general Lie algebras. We present a history of the problem, along with two proofs of the theorems which stay completely within the realm of ...
On the Countable Dense Homogeneity of Euclidean Spaces
(2015-04-20)
A countable dense homogeneous space, in a general sense, is a topological space in which any two countable dense subsets of the space are "dispersed" the same way. In this thesis, we will show that some very well-known ...
On the derivation algebras of parabolic Lie algebras with applications to zero product determined algebras
(2014-07-11)
This dissertation builds upon and extends previous work completed by the author and his advisor in [5].
A Lie algebra g is said to be zero product determined if for each bilinear map φ: g × g → V that satisfies φ(x, y) = ...
On the existence of even and k-divisible-matchings
(2008-05-15)
The concept of an an even matching was first introduced by Billington and Hoffman.
They were used to find gregarious 4-cycle decompositions of $K_{8t(a),b}$ with a and b odd.
Their paper contains even matchings of type ...
On the Independence Number of Some Hypergraph
(2018-07-10)
For integers 1 =< m < n and a prime p (we require 2 =< m when p = 2), a subset
I(p^n; p^m) ={0,...,p^n-1} is described which contains no pm-term cyclic arithmetic progression
modulo p^n, and which is maximal among subsets ...
On The Lattice Boltzmann Method: Implementation and Applications
(2008-12-15)
We studied the development and different types of the Lattice Boltzmann method. We gave several implementations. Then we presented two moving boundary treatments for the Lattice Boltzmann method, the second one is new. We ...
On The Number of Cylinders Touching a Sphere
(2019-06-14)
The kissing number problem is a packing problem in geometry where one has to fi nd
the maximum number of congruent non-overlapping copies of a given body so that they can
be arranged each touching a common copy.
The ...
On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces
(2006-05-15)
Concerning the fundamental group of spaces written as a union of two topological
spaces, the result by Seifert and van Kampen is well known and frequently
used. Over the years there have been various theorems published ...
On the Spectrum of Minimal Covers By Triples
(2006-08-15)
A Minimal Cover by Triples is an ordered pair (V,T) where V is a finite set and T is a
collection of three element subsets of V with two properties. First, that every pair of elements
of V appear together in at least ...
On Translative Packing Densities in $E^2$ and $E^3$
(2023-12-01)
The theory of packing and covering is an essential part of discrete geometry. In this dissertation we focus on and contribute to the knowledge on the densities of translative and lattice packings in $E^{2}$ and ...