| 等腰梯形域内两点间平均距离 |
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| 引用本文： | 管秀娟,李德宜,张晓丽.等腰梯形域内两点间平均距离[J].数学杂志,2011,31(6):1141-1144. |
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| 作者姓名： | 管秀娟 李德宜 张晓丽 |
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| 作者单位： | 武汉科技大学理学院,湖北武汉,430065 |
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| 摘 要： | 本文研究了凸域内两点间平均距离的问题.利用广义支持函数和凸域的弦幂积分的方法,获得了计算凸域内两点间平均距离的一般公式,并将公式推广到等腰梯形域,得出了等腰梯形域内两点间平均距离的计算结果.
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| 关 键 词： | 广义支持函数 最大弦长 平均距离 等腰梯形域 |
THE AVERAGE DISTANCE BETREEN TWO POINTS IN ISOSCELES TRAPEZOID |
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| GUAN Xiu-juan,LI De-yi,ZHANG Xiao-li.THE AVERAGE DISTANCE BETREEN TWO POINTS IN ISOSCELES TRAPEZOID[J].Journal of Mathematics,2011,31(6):1141-1144. |
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| Authors: | GUAN Xiu-juan LI De-yi ZHANG Xiao-li |
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| Institution: | GUAN Xiu-juan,LI De-yi,ZHANG Xiao-li (College of Science,Wuhan University of Science and Technology,Wuhan 430065,China) |
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| Abstract: | This paper studies the convex domain average distance between two points.By utilizing general support functions and convex domain chord-power integrals,the calculation method of convex domain average distance between two points yields a general formula,which is extended to a formula for isosceles trapezoidal domain average distance between two points. |
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| Keywords: | the average distance of two points the generalized support function chordpower isosceles trapezoid |
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