数学杂志2012,Vol.32Issue(5):935-942,8.
随机弦长矩与弦幂积分
THE MOMENTS OF RANDOM CHORD LENGTHS AND CHORD POWER INTEGRALS
李文 1邹都 1李德宜2
作者信息
- 1. 平顶山学院数学与信息科学学院,河南平顶山467000
- 2. 上海大学理学院,上海200444
- 折叠
摘要
Abstract
In this paper, five kinds of random chord length distributions of a convex body are studied. By using restricted chord projection principle and kinematic measure integral, the essential relationship between chord power integrals and moments of those random chord lengths are shown.关键词
积分几何/凸体/弦幂积分/弦长分布/限弦投影Key words
integral geometry/ convex body/ chord power integral/ chord length distribution/ restricted chord nroiection分类
数理科学引用本文复制引用
李文,邹都,李德宜..随机弦长矩与弦幂积分[J].数学杂志,2012,32(5):935-942,8.