| 凸域的外平行集的包含测度 |
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| 引用本文： | 朱兴萍,李德宜,何琼.凸域的外平行集的包含测度[J].数学杂志,2007,27(5):579-582. |
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| 作者姓名： | 朱兴萍 李德宜 何琼 |
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| 作者单位： | 1. 武汉科技大学理学院,湖北武汉,430081
2. 南昌理工学院公共教学部,江西南昌,330013 |
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| 摘 要： | 本文研究了凸域内定长线段的包含测度问题,利用广义支持函数和限弦函数,得到了一类特殊凸域的包含测度.
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| 关 键 词： | 外平行集 包含测度 限弦函数 广义支持函数 |
| 文章编号： | 0255-7797（2007）05-0579-04 |
| 修稿时间： | 2004-10-162005-02-25 |
CONTAINMENT MEASURES OF OUTER PARALLEL CONVEX SETS |
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| ZHU Xing-ping,LI De-yi,HE Qiong.CONTAINMENT MEASURES OF OUTER PARALLEL CONVEX SETS[J].Journal of Mathematics,2007,27(5):579-582. |
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| Authors: | ZHU Xing-ping LI De-yi HE Qiong |
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| Institution: | 1. College of Science, Wuhan University of Science and Technology , Wuhan 430081,China;2. Dept. of Public Teaching , Nanchang Instituty of Technology , Nanchang 330013, China |
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| Abstract: | Ren Delin introduced the notion of generalized support function and restricted chord function of a convex body in the plane and used them to establish integral formulas for the containment measure of a line segment inside a convex body. Based on this theory, this paper presents containment measures of outer parallel square and the method can be generalized |
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| Keywords: | outer parallel convex set containment measure restricted chord function generalized support function |
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