| 概率学中圆上n点共半圆问题的解决及应用 |
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| 引用本文： | 金仲伯. 概率学中圆上n点共半圆问题的解决及应用[J]. 安徽电子信息职业技术学院学报, 2014, 0(6): 45-47 |
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| 作者姓名： | 金仲伯 |
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| 作者单位： | 无锡机电高等职业技术学校 自动化工程系,江苏 无锡,214028 |
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| 摘 要： | 通过圆上三点共半圆概率的求解,解决圆上点共半圆问题的简便计算方法,并进而推导出圆上点同落于一段确定圆弧内概率的计算公式。以此为数学模型,介绍其在几何、统计及质量检验管理等方面的应用。
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| 关 键 词： | 共半圆 互不相容事件 对立事件 独立事件 |
Solution and Applications of the Problem of n Points Sharing One Semicircle on a Circle in Probability |
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| JIN Zhong-bo. Solution and Applications of the Problem of n Points Sharing One Semicircle on a Circle in Probability[J]. Journal of Anhui Vocational College of Electronios & Information Technology, 2014, 0(6): 45-47 |
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| Authors: | JIN Zhong-bo |
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| Affiliation: | JIN Zhong-bo (Department of Automatic Engineering, Wuxi Machinery and Electron Higher Professional and Technical School, Wuxi 214028, Jiangsu) |
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| Abstract: | Through the solution of the problem of three points sharing one semicircle on a circle in Probability, a simple calculation method of n points sharing one semicircle on a circle is made. A formula of n points falling on a certain circular arc is deduced. Based on the above deduction, a mathematical model is built, which can be applied to geometry, statistics and quality control management etc. |
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| Keywords: | sharing one semicircle mutually exclusive events opposite event independent event |
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