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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. |
| 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 |
| DOI： |
| 分类号:O186.5 |
| 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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| 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,SU Qin-nong
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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. |
| Key words: the kinematic formula dual quermassintegral dual mixed volume the linear radial combination |
