Hausdorff Dimension and Application of Apollonian Circle Packing
碩士 === 國立清華大學 === 數學系 === 103 === This thesis introduces some previous work on Apollonian circle packing regarding computations of its Hausdorff dimension. The Hausdorff dimension is known to be the exponent of a power law on the growth rate of circles as their sizes decrease. We study the circle pa...
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2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/02344998201959142179 |
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ndltd-TW-103NTHU54790062017-02-26T04:27:52Z http://ndltd.ncl.edu.tw/handle/02344998201959142179 Hausdorff Dimension and Application of Apollonian Circle Packing 豪斯多夫維度與阿波羅尼奧斯墊片的應用 Lin, Yin-Chun 林胤均 碩士 國立清華大學 數學系 103 This thesis introduces some previous work on Apollonian circle packing regarding computations of its Hausdorff dimension. The Hausdorff dimension is known to be the exponent of a power law on the growth rate of circles as their sizes decrease. We study the circle packing in more general sectors and polygons. We also numerically compute the exponent of the corresponding power law. At the end of this thesis, we will mention some real-world application of Apollonian circle packing, and other related problems. Chen, Kuo-Chang 陳國璋 2015 學位論文 ; thesis 16 en_US |
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en_US |
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Others
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碩士 === 國立清華大學 === 數學系 === 103 === This thesis introduces some previous work on Apollonian circle packing regarding computations of its Hausdorff dimension. The Hausdorff dimension is known to be the exponent of a power law on the growth rate of circles as their sizes decrease. We study the circle packing in more general sectors and polygons. We also numerically compute the exponent of the corresponding power law. At the end of this thesis, we will mention some real-world application of Apollonian circle packing, and other related problems.
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| author2 |
Chen, Kuo-Chang |
| author_facet |
Chen, Kuo-Chang Lin, Yin-Chun 林胤均 |
| author |
Lin, Yin-Chun 林胤均 |
| spellingShingle |
Lin, Yin-Chun 林胤均 Hausdorff Dimension and Application of Apollonian Circle Packing |
| author_sort |
Lin, Yin-Chun |
| title |
Hausdorff Dimension and Application of Apollonian Circle Packing |
| title_short |
Hausdorff Dimension and Application of Apollonian Circle Packing |
| title_full |
Hausdorff Dimension and Application of Apollonian Circle Packing |
| title_fullStr |
Hausdorff Dimension and Application of Apollonian Circle Packing |
| title_full_unstemmed |
Hausdorff Dimension and Application of Apollonian Circle Packing |
| title_sort |
hausdorff dimension and application of apollonian circle packing |
| publishDate |
2015 |
| url |
http://ndltd.ncl.edu.tw/handle/02344998201959142179 |
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