| THE PROBLEM OF “STRUNG BALLS” IN HIGH DIMENSION |
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| 作者姓名： | ZHANGWeinian |
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| 作者单位： | Department of Mathematics，Sichuan University Chengdu，Sichuan 610064，China |
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| 基金项目： | This research is supported by NSFC(China) Grant, TRAPOYT and China MOE Research Grant. |
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| 摘 要： | The problem of "strung balls", which considers how many circles in a given family of circles can be intersected by a line in a plane, is discussed in Rn(n > 3). Higher dimensional versions of the results given on a plane are obtained.
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| 关 键 词： | 组合几何学 扩散 交集 字符串球 可数 三维空间 |
THE PROBLEM OF "STRUNG BALLS" IN HIGH DIMENSION |
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| ZHANGWeinian.THE PROBLEM OF "STRUNG BALLS" IN HIGH DIMENSION[J].Journal of Systems Science and Complexity,2004,17(4):574-577. |
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| Authors: | ZHANG Weinian |
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| Abstract: | The problem of "strung balls", which considers how many circles in a given family of circles can be intersected by a line in a plane, is discussed in Rn(n > 3). Higher dimensional versions of the results given on a plane are obtained. |
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| Keywords: | Combinatorial geometry divergence countable intersection |
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