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Robust Partial Least Squares for Regression and Classification
(2009-02-23)
Partial Least Squares (PLS) is a class of methods for modeling relations between sets of observed variables ...
Inverse Limit Spaces
(2009-02-23)
This paper is a vast survey of inverse limit spaces. After defining an inverse limit on continuous bonding functions, we prove important theorems about inverse limits, provide examples, and explore various generalizations ...
Factorwise Rigidity Involving Hereditarily Indecomposable Spaces
(2009-02-23)
The Cartesian product of two spaces is called factorwise rigid if any self homeomorphism is a product homeomorphism. In 1983, D. Bellamy and J. Lysko proved that the Cartesian product of two pseudo-arcs is factorwise rigid. ...
Time Dependent Queuing Systems
(2009-02-23)
Using elementary probability theory, we establish limiting probabilities for the queue length of a queuing system whose arrivals follow a nonhomogeneous Poisson process and are served by a single server whose services also ...
The QR Algorithm for Eigenvalue Estimation: Theory and Experiments
(2009-02-23)
In this thesis, we explore one of the most important numerical algorithms ever invented,
the QR algorithm for computing matrix eigenvalues. First, we describe out notations and
mathematical symbols used throughout the ...
Enclosings of Small Cycle Systems
(2009-04-28)
In 2003 Hurd and others considered the problem of enclosing a triple system TS(v; lambda)
in a triple system TS(v + s; lambda + m), focusing on smallest possible enclosings. In
the second chapter, their result is generalized ...
Some Necessary Conditions for List Colorability of Graphs and a Conjecture on Completing Partial Latin Squares
(2008-09-09)
Let C be an infinite set of symbols, F the collection of finite subsets of C. A function
L is a list assignment to a graph G if L assigns to each vertex of G a finite subset of C.
A proper L-coloring occurs when adjacent ...
Palm Measure Invariance and Exchangeability for Marked Point Processes
(2008-09-09)
A random measure $\xi$ on a real interval $I$ is known to be exchangeable iff suitably reduced versions of the Palm distributions $Q_{t}$ are independent of $t \in I$. In this dissertation we prove a corresponding result ...
On O-Basis Groups and Generalizations
(2008-09-09)
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, ...
Solving the Inverse Kinematic Robotics Problem: A Comparison Study of the Denavit-Hartenberg Matrix and Groebner Basis Theory
(2008-09-09)
The aim is to analyze two very di®erent methods for solving the inverse kinematic
robotics problem. The ¯rst method, called the Engineering Approach, uses the Denavit-
Hartenberg Matrix, and the second method, called the ...