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Deep Learning, Neural Networks and Aerospace Applications
(2018-11-15)
The ability to rack an enemy missile while in-flight, whether to accurately predict the point of impact (POI), the point of origin (POO) or to destroy the missile in-flight, is greatly enhanced if the missile type and/or ...
The Complete Solution of the Intersection Problem for Maximum Packings of K_n with Triples
(2018-07-03)
In the late 1980's the intersection problem for maximum packings of K_n with triples was solved by Hoffman, Lindner, and Quattrocchi. Their combined results showed that for any n = i mod(6) such that i in { 0, 2, 4, 5} the ...
Geometric means inequalities and their extensions to Lie groups
(2018-12-05)
This dissertation has two main parts.
1. After reviewing the Riemannian structure of the space of n n positive de nite matrices,
Pn, and the geometric mean in terms of geodesic, t-geometric mean, we present
some ...
Decomposing Graphs With Two Associate Classes Into Paths Of Length 3 And The Intersection Problem Of Latin Rectangles
(2018-07-24)
In this thesis, the decomposition problem of graphs with two associate classes into paths
of length 3 is completely settled. The intersection problem for latin rectangles is completely
solved as well. In addition, an ...
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, ...
Global existence of classical solutions, spreading speeds, and traveling waves of chemotaxis models with logistic source on R^N
(2018-07-12)
This dissertation is devoted to the study of the classical Keller-Segel chemotaxis systems with space-time heterogeneous logistic source function on $R^N$. Chemotaxis systems are mathematical models describing aggregation ...
Equitable Block-Colorings of Graph-Decompositions and Tiling Generalized Petersen Graphs
(2018-04-23)
A $C_4$-decomposition of $K_v - F$, where $F$ is a $1$-factor of $K_v$ and $C_4$ is the cycle on $4$ vertices, is a partition $P$ of $E(K_v - F)$ into sets, each element of which induces a $C_4$ (called a block). A function ...
Analysis and Optimal control of deterministic Vector-Borne diseases model
(2018-07-18)
In this dissertation, two systems of deterministic differential equations are introduced to study the transmission of vector-borne diseases between a host and a vector. The total population of the host and the vector are ...
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 ...
Fast and well-conditioned boundary integral equation solvers for the numerical simulation of graphene plasmon
(2018-07-18)
Surface plasmonic polaritons (SPPs) are evanescent electromagnetic waves coupled to free electron plasma oscillations.
It was first observed in metallic gratings in 1902 by Wood. Modern plasmonics gained renewed interest ...