| 凸域内弦的平均长度 |
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| 引用本文： | 赵静,李德宜,王现美.凸域内弦的平均长度[J].数学杂志,2007,27(3):291-294. |
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| 作者姓名： | 赵静 李德宜 王现美 |
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| 作者单位： | 武汉科技大学理学院,湖北武汉,430081 |
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| 摘 要： | 本文研究了凸域内弦的平均长度.通过广义支持函数与凸域的弦幂积分,建立了凸域内弦的平均长度的一般公式,并用此公式得出了圆域和矩形域内弦的平均长度.
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| 关 键 词： | 凸域 平均弦长 广义支持函数 圆域 矩形域 |
| 文章编号： | 0255-7797（2007）03-0291-04 |
| 修稿时间： | 2004-10-162005-02-25 |
THE AVERAGE LENGTH OF THE CHORDS OF A CONVEX DOMAIN |
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| ZHAO Jing,LI De-yi,WANG Xian-mei.THE AVERAGE LENGTH OF THE CHORDS OF A CONVEX DOMAIN[J].Journal of Mathematics,2007,27(3):291-294. |
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| Authors: | ZHAO Jing LI De-yi WANG Xian-mei |
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| Institution: | College of Science , Wuhan University of Science and Technology , Wuhan 430081 ,China |
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| Abstract: | In this paper,the average length of the chords of a convex set is studied.By using the generalized support function,we can get the integral for the power of chords of a convex set.Then, the formula of the average length of a convex set is given. With this formula,we calculate the average length of the chords for the circular or rectangular domain. |
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| Keywords: | convex domain the average length of the chords the generalized support function circular domain rectangular domain |
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