On thickness of knots and its properties.
Ho Wing Yin. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. === Includes bibliographical references (leaves 67-68). === Abstracts in English and Chinese. === Chapter 0 --- Introduction --- p.5 === Chapter 1 --- Basics of Differential Topology and Knot Theory --- p.7 === Chapter 1.1 -...
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ndltd-cuhk.edu.hk-oai-cuhk-dr-cuhk_3256292019-03-12T03:34:35Z On thickness of knots and its properties. On thickness of knots & its properties Knot theory Ho Wing Yin. Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. Includes bibliographical references (leaves 67-68). Abstracts in English and Chinese. Chapter 0 --- Introduction --- p.5 Chapter 1 --- Basics of Differential Topology and Knot Theory --- p.7 Chapter 1.1 --- Elementary Differential Topology --- p.7 Chapter 1.2 --- Elementary Knot Theory --- p.13 Chapter 1.2.1 --- Basic Definition --- p.13 Chapter 1.2.2 --- Regular Projection --- p.14 Chapter 1.2.3 --- Classical Knot Invariants --- p.15 Chapter 2 --- Thickness of Knots --- p.17 Chapter 2.1 --- Thickness and its Curvature --- p.17 Chapter 2.2 --- Consequences of the Main Theorem --- p.27 Chapter 2.3 --- Polygonal Representation of Knot --- p.30 Chapter 2.4 --- Self-distance and Main Theorem --- p.35 Chapter 3 --- Energy --- p.37 Chapter 3.1 --- Normal Energy and Symmetric Energy --- p.37 Chapter 3.2 --- Mobius Energy --- p.48 Chapter 3.3 --- Another Formulation of Mobius Energy --- p.57 Chapter 3.4 --- A Non Self-Repulsive Energy Function --- p.62 Bibliography --- p.67 Ho, Wing Yin. Chinese University of Hong Kong Graduate School. Division of Mathematics. 2006 Text bibliography print 68 leaves : ill. ; 30 cm. cuhk:325629 http://library.cuhk.edu.hk/record=b5893010 eng chi 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/) http://repository.lib.cuhk.edu.hk/en/islandora/object/cuhk%3A325629/datastream/TN/view/On%20thickness%20of%20knots%20and%20its%20properties.jpghttp://repository.lib.cuhk.edu.hk/en/item/cuhk-325629 |
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Knot theory On thickness of knots and its properties. |
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Ho Wing Yin. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. === Includes bibliographical references (leaves 67-68). === Abstracts in English and Chinese. === Chapter 0 --- Introduction --- p.5 === Chapter 1 --- Basics of Differential Topology and Knot Theory --- p.7 === Chapter 1.1 --- Elementary Differential Topology --- p.7 === Chapter 1.2 --- Elementary Knot Theory --- p.13 === Chapter 1.2.1 --- Basic Definition --- p.13 === Chapter 1.2.2 --- Regular Projection --- p.14 === Chapter 1.2.3 --- Classical Knot Invariants --- p.15 === Chapter 2 --- Thickness of Knots --- p.17 === Chapter 2.1 --- Thickness and its Curvature --- p.17 === Chapter 2.2 --- Consequences of the Main Theorem --- p.27 === Chapter 2.3 --- Polygonal Representation of Knot --- p.30 === Chapter 2.4 --- Self-distance and Main Theorem --- p.35 === Chapter 3 --- Energy --- p.37 === Chapter 3.1 --- Normal Energy and Symmetric Energy --- p.37 === Chapter 3.2 --- Mobius Energy --- p.48 === Chapter 3.3 --- Another Formulation of Mobius Energy --- p.57 === Chapter 3.4 --- A Non Self-Repulsive Energy Function --- p.62 === Bibliography --- p.67 |
author2 |
Ho, Wing Yin. |
author_facet |
Ho, Wing Yin. |
title |
On thickness of knots and its properties. |
title_short |
On thickness of knots and its properties. |
title_full |
On thickness of knots and its properties. |
title_fullStr |
On thickness of knots and its properties. |
title_full_unstemmed |
On thickness of knots and its properties. |
title_sort |
on thickness of knots and its properties. |
publishDate |
2006 |
url |
http://library.cuhk.edu.hk/record=b5893010 http://repository.lib.cuhk.edu.hk/en/item/cuhk-325629 |
_version_ |
1719001204599554048 |