| 周期函数级数定义的空间曲线的 Packing 维数 |
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| 引用本文： | 陆磊,吴越,唐建国,邓冠铁.周期函数级数定义的空间曲线的 Packing 维数[J].华中科技大学学报(自然科学版),1998(Z2). |
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| 作者姓名： | 陆磊 吴越 唐建国 邓冠铁 |
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| 作者单位： | 华中理工大学数学系，北京师范大学数学系 |
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| 摘 要： | 经研究得到了周期函数级数所定义的空间曲线的分形Ｐａｃｋｉｎｇ维数公式．进一步，得到了Ｄｉｒｉｃｈｌｅｔ级数定义的空间曲线的Ｐａｃｋｉｎｇ维数，并在一定条件下获得了维数为３的特殊形式．
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| 关 键 词： | 分形 Bouligand维数 Packing维数 周期函数 |
The Packing Dimension of the Graph of Fractals Repressed by Periodic Function Series in 3 Dimension Space |
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| Lu Lei,Wu Yue,Tang Jianguo,Deng Guantie.The Packing Dimension of the Graph of Fractals Repressed by Periodic Function Series in 3 Dimension Space[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(Z2). |
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| Authors: | Lu Lei Wu Yue Tang Jianguo Deng Guantie |
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| Institution: | Lu Lei Wu Yue Tang Jianguo Deng Guantie |
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| Abstract: | The packing dimension formula of the curve of function difined by periodic series in three dimension space is obtained. The fractional packing dimension formula of the curve of function defined by Dirichlet series in three dimension space is also obtained, and under the special conditions, its special form with three dimension is given. |
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| Keywords: | fractal Bouligand dimension packing dimension periodic function |
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