| 相交直线偶的运动密度 |
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| 引用本文： | 谢鹏,谢可瑶,程孟良. 相交直线偶的运动密度[J]. 数学研究及应用, 2008, 28(1): 207-210. DOI: 10.3770/j.issn:1000-341X.2008.01.026 |
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| 作者姓名： | 谢鹏 谢可瑶 程孟良 |
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| 作者单位： | Department of Mathematics, Hua~hong University＇of Science and Technology, Hubei 430074, China |
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| 摘 要： | 本文利用活动标架法,得到了积分几何中至今还没有的相交直线偶的运动密度公式,并根据此公式获得到了相交直线偶的交点落入凸体$K$的运动公式.
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| 关 键 词： | pairs of intesecting lines kinematic density kinematic formula 相交直线 运动密度 Lines Density intersection lines convex body kinematic density formula integral geometry moving orthogonal frames method paper |
| 收稿时间： | 2006-04-18 |
| 修稿时间： | 2007-01-16 |
The Kinematic Density for Pairs of Intersecting Lines |
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| XIE Peng,XIE Ke-yao and CHENG Meng-liang. The Kinematic Density for Pairs of Intersecting Lines[J]. Journal of Mathematical Research with Applications, 2008, 28(1): 207-210. DOI: 10.3770/j.issn:1000-341X.2008.01.026 |
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| Authors: | XIE Peng XIE Ke-yao CHENG Meng-liang |
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| Affiliation: | Department of Mathematics,Huazhong University of Science and Technology,Hubei 430074,China |
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| Abstract: | In this paper,we get a kinematic density formula for pairs of intersecting fines which has not yet been gotten in integral geometry by using the moving orthogonal frames method.And we obtain a kinematic formula of the intersection of the pairs of intersecting lines belonging to convex body K by using it. |
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| Keywords: | pairs of intesecting lines kinematic density kinematic formula. |
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