Leung, Fung Bun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 36). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Tiling of Integers --- p.3 / Chapter 2.1 --- General Assumptions --- p.3 / Chapter 2.2 --- Periodicity of Tiling --- p.4 / Chapter 2.3 --- Cyclotomic Polynomials --- p.5 / Chapter 2.4 --- Equivalence --- p.10 / Chapter 3 --- Theorems of Integer Tiles --- p.12 / Chapter 3.1 --- Main Theorems --- p.12 / Chapter 3.2 --- Jusifications on Assumptions --- p.12 / Chapter 3.3 --- Proofs of Main Theorems --- p.14 / Chapter 3.3.1 --- Proof of Theorem 3.1.1 --- p.14 / Chapter 3.3.2 --- Proof of Theorem 3.1.2 --- p.15 / Chapter 3.3.3 --- Proof of Theorem 3.1.3 --- p.15 / Chapter 4 --- Structure of Integer Tiles --- p.20 / Chapter 4.1 --- Classification --- p.20 / Chapter 4.2 --- Structure of Tiles with Cardinality pα --- p.22 / Chapter 4.3 --- Structure of Tiles with Cardinality pαqβ --- p.23 / Chapter 4.4 --- More Examples --- p.25 / Chapter 5 --- Complementing Pairs Mod pqr --- p.26 / Chapter 5.1 --- Introduction --- p.26 / Chapter 5.2 --- A Conjecture and Proofs --- p.27 / Chapter 5.3 --- A Summary of Our Results --- p.29 / Chapter A --- Number Systems --- p.30 / Chapter A.l --- Definitions --- p.30 / Chapter A.2 --- Structure of tiles of Z+ and Nn --- p.31 / Chapter B --- Notations --- p.35
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326315 |
| Date | January 2008 |
| Contributors | Leung, Fung Bun., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vi, 36 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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