Browsing Mathematics Department by Title

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  • Lewis, Wayne (1992)
    An almost completely decomposable group with two critical types is a direct sum of rank-one groups and indecomposable rank-two groups. A complete set of near isomorphism invariants for an acd group with two critical types ...
  • Singh, Shashi Bhushan (University of Hawaii at Manoa, 2009)
    An Autonomous Underwater Vehicle (AUV) is expected to operate in an aquatic environment and compensate for poorly known disturbance forces and moments. Due to uncertain environment, it is difficult to apply an open-loop ...
  • Lu, Ni Yen (University of Hawaii at Manoa, 2011)
    This paper presents a detailed study of a-T-menable discrete groups. Starting with several conditions required for a-T-menability, we prove that they are equivalent and hence charaterize a class of a-T-menable discrete ...
  • Huang, Guoxiang (1996)
    This dissertation introduces new theorem-proving strategies and uses these strategies to solve a wide variety of difficult problems requiring logical reasoning. It also shows how to use theorem-proving to solve the problem ...
  • Sia, Gretel S. (University of Hawaii at Manoa, 2011)
    The Discrete Logarithm Problem (DLP) has been the subject of interest among many mathematicians and cryptographers in recent times because of its computational di¢ culty. For the former, the enormity of the mathematics ...
  • 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 non-isolated vertex of a graph G is called a groupie if the average ...
  • Kim, Hye Jung (University of Hawaii at Manoa, 2011)
    This paper considers complex reflection groups for which the generalization of subgroup decoding method does not work at all are considered in this paper. A new method of decoding is introduced to effectively encode and ...
  • DeMeo, William J. (University of Hawaii at Manoa, 2012)
    An important and long-standing 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 ...
  • Mizuno, Ryo (University of Hawaii at Manoa, 2010)
    We consider a situation where coalitions are formed to divide a resource. As in real life, the value of a payoff to a given agent is allowed to depend on the payoff to other agents with whom he shares a common interest. ...
  • 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 ...
  • Bear, H. S. Jr (Addison-Wesley Publishing Company, 1962)
  • 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 ...
  • Freese, Ralph (2013-02-08)
    T. Dent, K. Kearnes and A. Szendrei de ne the derivative, 0, of a set of equations and show, for idempotent , that implies congruence modularity if 0 is inconsistent ( 0 j= x y). In this paper we investigate ...
  • Kong, Justin (University of Hawaii at Manoa, 2012)
    Invented in the 1960’s, permutation codes have reemerged in recent years as a topic of great interest because of properties making them attractive for certain modern technological applications. In 2011 a decoding method ...
  • 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 ...
  • Hedley, Mark (University of Hawaii at Manoa, 2011)
  • Toyofuku, Justin (University of Hawaii at Manoa, 2012)
    Analytic continuation is the extension of the domain of a given analytic function in the complex plane, to a larger domain of the complex plane. This process has been utilized in many other areas of mathematics, and has ...
  • Casteren, J. A. van ([Honolulu], 1971)
  • Andonian, Michael (University of Hawaii at Manoa, 2012)
    For the last thirty years or so, differential geometry and control theory have merged and grown together to produce extraordinary results. When applied to mechanical systems, one sees a system waiting to be exploited for ...
  • 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 ...

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