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Browsing Ph.D. Dissertations Mathematics Department by Issue Date

Casteren, J.A. van
([Honolulu], 1971)


Lewis, Wayne
(1992)
An almost completely decomposable group with two critical types is a direct sum of rankone groups and indecomposable ranktwo groups. A complete set of near isomorphism invariants for an acd group with two critical types ...

Perry, Patrick Neil
(1992)
The capacity of the (d, k) constrained codes and of the (d, k) L level charge constrained codes is considered. The case of rational capacity is examined. and an error in the literature is corrected. This leads to an ...

Reiser, Edward J.
(1993)
In this thesis, we discuss the proof that all convex polyhedral metrics can be realized in euclidean and hyperbolic 3space. This result is accredited to A.D. Alexandrov and is fundamental in modern synthetic differential ...

Mackey, John Fletcher
(1994)
This dissertation consists of 3 chapters which consider distinct combinatorial problems. In the first chapter we consider objects known as groupies. A nonisolated vertex of a graph G is called a groupie if the average ...

Huang, Guoxiang
(1996)
This dissertation introduces new theoremproving strategies and uses these strategies to solve a wide variety of difficult problems requiring logical reasoning. It also shows how to use theoremproving to solve the problem ...

Heeney, Xiang Xia Huang
(University of Hawaii at Manoa, 2000)
This dissertation introduces triple gluing lattices and proves that a triple gluing lattice is small if the key subcomponents are small. Then attention is turned to triple gluing irreducible small lattices. The triple ...

Vo, Monika
(University of Hawaii at Manoa, 2003)
This dissertation introduces the concept of QWitt rings and SQWitt rings. A QWitt ring is defined as a finite quotient of a torsion free abstract Witt ring for an elementary 2group G. Local QWitt rings are characterized ...

Xiong, Jianfei
(2004)
In the first part of this dissertation the spherical evolute, the spherical involute, the spherical orthotomic and the spherical antiorthotomic are investigated and their local diffeomorphic types are determined. The concept ...

Seffrood, Jiajia Yang Garcia
(2005)
A dual linear space is a partial projective plane which contains the intersection of every pair of its lines. Every dual linear space can be extended to a projective plane, usually infinite, by a sequence of one line ...

Kalk, Jonathan W.
(University of Hawaii at Manoa, 2005)
Ordinary graphs are directed graphs that can be viewed as generalizations of symmetric block designs. They were introduced by Fossorier, Jezek, Nation and Pogel in [2] in an attempt to construct new finite projective planes. ...

Piotrowski, Andrzej
(University of Hawaii at Manoa, 2007)
Motivated by the work of Pólya, Schur, and Turán, a complete characterization of multiplier sequences for the Hermite polynomial basis is given. Laguerre's theorem and a remarkable curve theorem due to Pólya are generalized. ...

Wills, Luis Alberto
(2008)
We introduce the Quotient Group Graded Lie algebras, which involve graded structure constants. This structure is then used to obtain a graded extension of supersymmetry where diverse features of the Standard Model of ...

Chasse, Matthew Negus
(University of Hawaii at Manoa, 2011)
Let T : R [x] → R [x] be a linear operator such that T[ xk] = gammakxk for all k = 0, 1, 2, ..., where gamma k ∈ R . The real sequence gkinfinity k=0 is called a multiplier sequence if for any p ∈ R [x], ...

Kent, Zachary A.
(University of Hawaii at Manoa, 2011)
A mock modular form f+ is the holomorphic part of a harmonic Maass form f. The nonholomorphic part of f is a period integral of a cusp form g, which we call the shadow of f+. The study of mock modular forms and mock theta ...

DeMeo, William J.
(University of Hawaii at Manoa, 2012)
An important and longstanding open problem in universal algebra asks whether every finite lattice
is isomorphic to the congruence lattice of a finite algebra. Until this problem is resolved, our
understanding of finite ...

Grabarek, Lukasz
(University of Hawaii at Manoa, 2012)
We study the operation of replacing the coefficients of a real function with a nonlinear combination of its coefficients. We are particularly interested in the coefficientwise transformations that preserve the location ...

Yap, Diane
(University of Hawaii at Manoa, 2012)
We give a complete characterization of degree two rational maps on P1 with potential good reduction over local fields. We show this happens exactly when the map corresponds to an integral point in the moduli space M2. The ...

Yoshida, Rintaro
(2013)
An important chapter in the theory of distribution of zeros of entire functions pertains to the study of linear operators acting on entire functions. This dissertation presents new results involving not only linear, but ...