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Random Time Change and Some Applications
(2014-04-25)
This thesis is a survey of known results concerning random time change and its applications. It will cover basic probabilistic concepts and then follow with a detailed look at major results in several branches of probability ...
Completeness Properties in Function Spaces with the Compact-Open Topology
(2014-05-01)
It is an open problem to characterize those spaces X for which the compact-open topology C_k(X) has various completeness properties. It is conjectured that C_k(X) is Baire if and only if X has the moving off property. ...
Matrix Algebras over Strongly Non-Singular Rings
(2014-03-31)
We consider some existing results regarding rings for which the classes of torsion-free and non-singular right modules coincide. Here, a right R-module M is non-singular if xI is nonzero for every nonzero x in M and every ...
Security and secure-dominating sets in graphs
(2014-04-29)
All graphs in this paper are finite and simple. Let G = (V;E) be a graph, x an element of V and
S a subset of V. Following convention, we let N(x) := {u : where ux is an element of E} and N[x] := {x}union N(x). For
S, ...
Inverse eigenvalue problem for Euclidean distance matrices
(2014-04-23)
This paper examines the inverse eigenvalue problem (IEP) for the particular class of Euclidean distance matrices. Studying the necessary and sufficient conditions for a matrix to be an element of the set of Euclidean ...
Text and Predictive Analytics; Classification of On-line Customer Opinion Surveys
(2011-11-17)
Thanks to computers and other data storage technologies, today we can easily save and rapid access to enormous amounts of data. According to results a report published by Andrew Harbison & Pearse Ryan, the information ...
The Intersection Problem for Steiner Triple Systems
(2011-11-16)
In this thesis we give a new solution to the intersection problem for Steiner triple systems, using results that were not available when the original solution was given. In particular we show for each pair (n,k), where n ...
Finitely Generated Modules Over Noncommutative Chain Rings
(2011-10-26)
The notion of a right chain ring, a ring whose lattice of right ideals is linearly ordered by inclusion, is a generalization of a valuation ring. In this work we investigate properties of right chain rings and the structure ...
5-cycle systems
(2014-04-25)
A k-cycle system of a multigraph G is an ordered pair (V,C) where V is the vertex set of G and C is a set of k-cycles, the edges of which partition the edges of G. A k-cycle system of lambda K_v is known as a lambda-fold ...
Spatial Spread Dynamics of Monostable Equations in Spatially Locally Inhomogeneous Media with Temporal Periodicity
(2013-05-31)
This dissertation is devoted to the study of semilinear dispersal evolution equations.
These type of equations are called as Monostable or KPP type equations, which arise
in modeling the population dynamics of many ...