| 单个测度的Renyi维数 |
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| 引用本文： | 万菁.单个测度的Renyi维数[J].科学技术与工程,2010,10(14). |
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| 作者姓名： | 万菁 |
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| 作者单位： | 镇江机电高等职业学校,镇江,212016 |
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| 摘 要： | 随着社会的信息化,源于信息论测度的Renyi维数的研究引起了分形界的广泛关注.将举出反例对q<0时L.Olsen所作出的关于单个typical 测度的下Renyi维数的一个猜想进行否定.
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| 关 键 词： | 概率测度 Jensen不等式 Renyi维数 |
| 收稿时间： | 1/6/2010 11:21:50 AM |
| 修稿时间： | 2/2/2010 5:04:22 PM |
Single measure Renyi dimension |
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| wanjing.Single measure Renyi dimension[J].Science Technology and Engineering,2010,10(14). |
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| Authors: | wanjing |
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| Institution: | WAN Jing(Zhenjiang Vocational College of Mechanical and Electrical Technology,Zhenjiang 212016,P.R.China) |
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| Abstract: | In recent years,as society's information,more and more people are interested in the Renyi dimension derived from information theory in the fractal community.The conjecture about the typical behavior of the lower Renyi dimension is mainly disfused for q<0 by a counterexample. |
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| Keywords: | Probability measure Jensen inequality Renyi dimension |
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