学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
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R^3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人凸体K的运动测度。[著者文摘]
文章出处:
《应用数学》-2006年19卷3期 -648-650页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）03-0648-03
[参考文献]
The Kinematic Density for Pairs of Intersecting Lines in R^3
XIE Peng, JIANG Jun, FAN Yuan-yuan（Dept. of Math. , Huazhong University of Science and Technology ,Wuhan 430074 ,China）
Abstract:
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.[著者文摘]
Key words:
The pairs of intersecting lines;The kinematic density; The group of rotations;The kinematic measure
收稿日期: 2006-01-05
基金资助:
Supported by NSFC （60074033）
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