The Kinematic Density for Pairs of Intersecting Lines  被引量:1

The Kinematic Density for Pairs of Intersecting Lines

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作  者:XIE Peng XIE Ke-yao CHENG Meng-liang 

机构地区:[1]Department of Mathematics, Hua~hong University'of Science and Technology, Hubei 430074, China

出  处:《Journal of Mathematical Research and Exposition》2008年第1期207-210,共4页数学研究与评论(英文版)

基  金:the National Natural Science Foundation of China (No. 60074033).

摘  要:In this paper, we get a kinematic density formula for pairs of intersecting lines 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.In this paper, we get a kinematic density formula for pairs of intersecting lines 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.

关 键 词:pairs of intesecting lines kinematic density kinematic formula. 

分 类 号:O186.5[理学—数学]

 

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