Browse All

Theses & Dissertations

Submissions

  • Submissions (Articles, Chapters, and other finished products)

Freeze, Michael

UNCW

There are 4 item/s.

TitleDateViewsBrief Description
Spanning subsets of a finite abelian group of order pq 2009 505 Let G be a finite abelian group, and let S µ G be a subset of distinct nonzero elements of G. If each element g 2 G of the group can be written as a nonempty sum of elements from S, then we say S spans G nontrivially. Denote the maximum cardinalit...
An examination of class number for [reproduction of quadratic extensions] where [reproduction of square root of d] has continued fraction expansion of period three 2009 646 We begin by ¯nding an appropriate parametrization for d that will ensure pd has continued fraction expansion of period three. After ¯nding this parametrization, we use elementary arguments to limit the possible values of d leading to real quadratic...
An examination of the structure of extension families of irreducible polynomials over finite fields 2009 702 In this paper we examine the behavior of particular family of polynomial over a nite eld. The family studied is that obtained by composing an irreducible poly- nomial with prime power monomials. We examine methods of testing irreducibility via a...
[Sigma Delta] Quantization with the hexagon norm in C 2009 507 It has been shown that Pulse Code Modulation (PCM) Quantizer Schemes and §¢ Quantizer Schemes can be used to quantize one dimensional data for transmis- sion and recovery with each scheme having its own advantages and disadvantages. This work will...