| 运动星体内部径向方向上两点间的平均距离 |
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| 引用本文： | 王星星,谢凤繁,粟勤农.运动星体内部径向方向上两点间的平均距离[J].数学杂志,2014,34(2):360-366. |
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| 作者姓名： | 王星星 谢凤繁 粟勤农 |
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| 作者单位： | 武汉科技大学理学院;武汉交通职业学院; |
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| 基金项目： | 冶金工业过程系统科学湖北省重点实验项目资助(A201001) |
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| 摘 要： | 本文研究了两个相交非空凸体的交集及其线性径向组合体内部两点间的平均距离问题.利用对偶均质积分和对偶混合体积两个工具,获得了平均距离的计算公式,推广了已有的对偶运动公式的相关结果.
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| 关 键 词： | 基本运动公式 对偶均质积分 对偶混合体积 线性径向组合体 |
| 收稿时间： | 2013/7/20 0:00:00 |
| 修稿时间： | 2013/10/9 0:00:00 |
THE AVERAGE DISTANCE OF TWO POINTS OF A KINEMATIC STAR BODY ON A RADIAL DIRECTION |
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| WANG Xing-xing,XIE Feng-fan and SU Qin-nong.THE AVERAGE DISTANCE OF TWO POINTS OF A KINEMATIC STAR BODY ON A RADIAL DIRECTION[J].Journal of Mathematics,2014,34(2):360-366. |
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| Authors: | WANG Xing-xing XIE Feng-fan and SU Qin-nong |
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| Institution: | College of Science, Wuhan University of Science and Technology, Wuhan 430065, China,College of Science, Wuhan University of Science and Technology, Wuhan 430065, China and Wuhan Technical College of Communications, Wuhan 430065, China |
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| Abstract: | In this paper, we study the problem of the average distances between two internal points of the intersection of two intersecting non-empty convex bodies and their linear radial combination. By applying the fundamental kinematic formulas involving quermassintegrals to the case of dual quermassintegrals and dual mixed volumes, we obtain the computational formulas of average distance, which generalize the relevant results of the existing dual kinematic formulas. |
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| Keywords: | the kinematic formula dual quermassintegral dual mixed volume the linear radial combination |
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