SIM在使用中应注意的条件

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基金项目: 山西省青年科学基金

The Condition for Applying Slit island Method

摘要: 本文介绍了Hausdorff与Box分形维数及测度,首次引入了周积规范比的概念,给出了SIM的正确数学描述及证明,提出了使用SIM的充分条件,并将该方法进行了修正.
- Hausdorff测度 /
- Hausdorff维数 /
- Box维数 /
- 周积规范比 /
- SIM
Abstract: In this paper.in view of the discussion of the Hausdorff and Box fractaldimensions and measures which are frequently applied,the concept of the girth to areanormal ratio is introduced for the first time and the correct mathematical descriptionof SIM together with its proof,the sufficient condition for applying SIM and theimprovement version of SIM.
- Hausdorff dimensions /
- Hausdorff measures /
- Box dimensions /
- girth to area normal ratio /
- SIM

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