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Browsing M.A. Plan B Theses- Mathematics Department by Title

Now showing items 1-20 of 23

Almost global feedack control of autonomous underwater vehicles

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 ...
A-T-menability of groups

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 ...
A brief survey of the discrete logarithm 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 ...
Complex reflection group coding

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 ...
Core and no-treat equilibrium in tournament games with externalities

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. ...
Extending lp--decoding for permutation codes from euclidean to Kendall tau metric

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 ...
A generalization of Euler's constant

Hedley, Mark (University of Hawaii at Manoa, 2011)
The Laguerre inequality and the distribution of zeros of entire functions

Muranaka, Brandon (University of Hawaii at Manoa, 2003)

The purpose of this paper is fourfold: (1) to survey some classical and recent results in the theory of distribution of zeros of entire functions, (2) to generalize the Laguerre inequality, (3) to establish several special ...
Linear differential operators and the distribution of zeros of polynomials

So, Eugene (University of Hawaii at Manoa, 2008)

The purpose of this paper is fourfold: (1) to survey some classical and recent results in the theory of distribution of zeros of entire functions, (2) to demonstrate a novel proof answering a question of Raitchinov, (3) ...
Multimetric continuous model theory

Caulfield, Erin (University of Hawaii at Manoa, 2012)

In this paper, we study metric structures with a finite number of metrics by extending the model theory developed by Ben Yaacov et al. in themonograph Model theory for metric structures. We first define a metric structure ...
Normality of stock prices

Shi, Bo (University of Hawaii at Manoa, 2006)
Omega function: a theoretical introduction

Nguyen, Vu Ngoc (University of Hawaii at Manoa, 2009)

This paper investigates the theory behind a new universal performance measure (the so called Omega function), which was frst introduced by Con Keating and William F. Shadwick in 2002 (see [1]). In the frst section, we ...
On Kaneko congruences

Chi, Mingjing (University of Hawaii at Manoa, 2012)

We present a proof of certain congruences modulo powers of an odd prime for the coefficients of a series produced by repeated application of U -operator to a certain weakly holomorphic modular form. This kind of congruences ...
Polynomial-clone reducibility

Culver, Quinn (University of Hawaii at Manoa, 2010)

Polynomial-clone reducibilities are generalizations of the truth-table reducibilities. A polynomial clone is a set of functions over a finite set X that is closed under composition and contains all the constant and projection ...
Riemann, Hurwitz, and branched covering spaces: an exposition in mathematics

Turner, Wm. Pitt V (University of Hawaii at Manoa, 2011)

We will consider spaces with nice connectedness properties, and the groups that act on them in such a way that the topology is preserved; we consider looking at the symmetry groups of a surface of genus g. Restricting our ...
Riemann, Hurwitz, and Branched Covering Spaces: An Exposition in Mathematics

Turner, Wm. Pitt V (2012-07-23)

We will consider spaces with nice connectedness properties, and the groups that act on them in such a way that the topology is preserved; we consider looking at the symmetry groups of a surface of genus g. Restricting our ...
Satellite orbital control

Evans, Regina M. (University of Hawaii at Manoa, 2009)

In this project we will be looking at the change in control required to transfer a satellite between two elliptic Keplerian orbits. We will first derive the equations of motion for our satellite and then study the ...
The snowflake decoding algorithm

Walker, Catherine (University of Hawaii at Manoa, 2012)

This paper describes an automated algorithm for generating a group code using any unitary group, initial vector, and generating set that satisfy a necessary condition. Examples with exceptional complex reflection groups, ...
Solving the Dirichlet problem via Brownian motion

Krot, Tatiana (University of Hawaii at Manoa, 2007)
Stabilization of a cart and double pendulum system

Langdon, Daniel Allen (University of Hawaii at Manoa, 2007)

This Master’s Plan B report for the University of Hawai‘i at M ̄noa is the result of Daniel Langdon’s examination of methods of modeling and stabilizing a cart and double-pendulum system against small disturbances. The ...