R^3中相交直线偶的运动密度(英文)  

The Kinematic Density for Pairs of Intersecting Lines in R^3

作　　者：谢鹏[1] 蒋君[1] 范媛媛[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《应用数学》2006年第3期648-650,共3页Mathematica Applicata

基　　金：Supported by NSFC (60074033)

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R3中相交直线偶的运动密度公式,并根据此公式计算了相交直线偶的交点落入凸体K的运动测度.We get a kinematic density formula for pairs of intersecting lines in R^3 which has not yet got in integral geometry by using the moving orthogonal frames method. And we calculate the kinematic measure of the intersection of the pairs of intersecting lines belongs to convex body K in R^3 by using it.

关 键 词：相交直线偶 运动密度 旋转群 运动测度 

分 类 号：O186.5[理学—数学]