published_or_final_version / Mathematics / Master / Master of Philosophy

The basic aim of this thesis is to extend the definition of an n-dimensional vector measure so as to allow it to assume infinite values. In the 1-dimensional case, when one extends the notion of a non-negative measure to that of a signed measure which may assume negative values, it is necessary to assume that the signed measure takes on at most one of the values (+ oo) or(- oe). In a similar fashion it is shown that in arder to successfully extend the definition of a finite-valued n-dimensional measure, it is necessary to suppose that the extended measure assumes at most one infinite value. [...]

The propagation of electromagnetic fields is described by the vector Helmholtz equation. Finite element analysis of the vector Helmholtz equation involves complications such as spurious modes that do not arise in the scalar Helmholtz equation. Both driven vector field problems as well as vector eigenvalue problems may be corrupted by these divergent, nonphysical fields. Additionally, boundary and interface conditions in vector field problems are more complex than in scalar problems. In this thesis, the cause of spurious modes is analyzed and a condition called the inclusion condition is shown to eliminate the spurious modes. Mixed order covariant projection finite elements are shown to avoid spurious corruptions in both driven and eigenvalue problems. The proposed elements do not involve globally imposed constraints or penalty functions, and boundary and interface conditions are easily imposed.

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Being among the most popular and efficient classification and regression methods currently available, implementations of support vector machines exist in almost every popular programming language. Currently four R packages contain SVM related software. The purpose of this paper is to present and compare these implementations. (author's abstract) / Series: Research Report Series / Department of Statistics and Mathematics

We analyze the hadronic phase of QCD using effective thermal field theory techniques. Our goal is to investigate the medium created in heavy ion collisions by calculating the electromagnetic emissivity of strongly interacting matter in the hadronic phase. We proceed through examining the vector meson properties in a thermal bath where the temperature reaches deconfinement and chiral symmetry is restored. In particular we observe the behavior of the rho spectral function in thermal medium and use it as a probe to examine the thermal environment generated in the collision.

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Mode of access: World Wide Web. / Thesis (Ph. D.)--University of Hawaii at Manoa, 2005. / Includes bibliographical references (leaves 160-161). / Electronic reproduction. / Also available by subscription via World Wide Web / viii, 161 leaves, bound ill. 29 cm

Thesis (Ph.D.)--McMaster University (Canada), 1993. / Source: Dissertation Abstracts International, Volume: 55-06, Section: B, page: 2239. Adviser: A. Rosa.