摘要
本文研究R3中凸体的双弦幂积分,利用线偶的运动密度,得到了一些性质及球体上的部分双弦幂积分值,并由此解决了R3中一几何概率问题.
In this paper, we consider the double chord power integrals of a convex body in R^3, By the kinematic density for pairs of lines, we get some properties of double chord power integrals and some double chord power integrals of the ball. Further, we apply them to a geometric probability problem.
出处
《数学杂志》
CSCD
北大核心
2007年第5期525-528,共4页
Journal of Mathematics
关键词
线偶的运动密度
运动测度
弦幂积分
双弦幂积分
the kinematic density of pairs of lines
kinematic measure
chord power integral
double chord power integral
