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R3中相交直线偶的运动密度

谢鹏 蒋君 范媛媛

应用数学2006,Vol.19Issue(3):648-650,3.
应用数学2006,Vol.19Issue(3):648-650,3.

R3中相交直线偶的运动密度

The Kinematic Density for Pairs of Intersecting Lines in R3

谢鹏 1蒋君 1范媛媛1

作者信息

  • 1. 华中科技大学数学系,湖北,武汉,430074
  • 折叠

摘要

Abstract

We get a kinematic density formula for pairs of intersecting lines in R3 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 R3 by using it.

关键词

相交直线偶/运动密度/旋转群/运动测度

Key words

The pairs of intersecting lines/The kinematic density/The group of rotations/The kinematic measure

分类

数理科学

引用本文复制引用

谢鹏,蒋君,范媛媛..R3中相交直线偶的运动密度[J].应用数学,2006,19(3):648-650,3.

基金项目

Supported by NSFC (60074033) (60074033)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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