| Riemann积分定义中两个任意性的简化 |
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| 引用本文： | 周克元.Riemann积分定义中两个任意性的简化[J].太原师范学院学报(自然科学版),2011,10(1):32-34. |
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| 作者姓名： | 周克元 |
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| 作者单位： | 宿迁学院教师教育系,江苏宿迁,223800 |
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| 基金项目： | 宿迁学院校级课题(2009YJG05) |
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| 摘 要： | 文章证明了Riemann积分定义中两个任意性可以简化为一个任意性,即或者"对特殊的划分T任取中间点集ξ",或者"对任意划分T取特殊的中间点集ξ"均可.
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| 关 键 词： | 黎曼积分 划分 达布和 简化 |
The Reduction of the Double Arbitrariness in the Definition of Riemann Integral |
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| Zhou Keyuan.The Reduction of the Double Arbitrariness in the Definition of Riemann Integral[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(1):32-34. |
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| Authors: | Zhou Keyuan |
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| Institution: | Zhou Keyuan(Education Department,Suqian College,Suqian 223800,China) |
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| Abstract: | We proved that the double arbitrariness can be reduced into single arbitrariness in the definition of riemann integral. |
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| Keywords: | Riemann integral segmentation Darboux sum reduction |
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