by Lee Tin Wah. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 68-69). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminaries --- p.8 / Chapter 2.1 --- Box dimension and Hausdorff dimension --- p.8 / Chapter 2.2 --- Basic properties of dimensions --- p.9 / Chapter 2.3 --- Calculating dimensions --- p.11 / Chapter 3 --- Dimension of graph of the Weierstrass function --- p.14 / Chapter 3.1 --- Calculating dimensions of a graph --- p.14 / Chapter 3.2 --- Weierstrass function --- p.16 / Chapter 3.3 --- An almost everywhere argument --- p.23 / Chapter 3.4 --- Tagaki function --- p.26 / Chapter 4 --- Self-affine mappings --- p.30 / Chapter 4.1 --- Box dimension of self-affine curves --- p.30 / Chapter 4.2 --- Differentability of self-affine curves --- p.35 / Chapter 4.3 --- Tagaki function --- p.42 / Chapter 4.4 --- Hausdorff dimension of self-affine sets --- p.43 / Chapter 5 --- Recurrent set and Weierstrass-like functions --- p.56 / Chapter 5.1 --- Recurrent curves --- p.56 / Chapter 5.2 --- Recurrent sets --- p.62 / Chapter 5.3 --- Weierstrass-like functions from recurrent sets --- p.64 / Bibliography
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322233 |
| Date | January 1998 |
| Contributors | Lee, Tin Wah., 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, 69 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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