| 多元积分中值定理的中间点(英文) |
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| 引用本文： | 吴雪芝. 多元积分中值定理的中间点(英文)[J]. 大学数学, 2012, 0(4): 117-119 |
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| 作者姓名： | 吴雪芝 |
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| 作者单位： | 首都师范大学图书馆 |
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| 摘 要： | 研究了多元球体上的积分中值定理的中间点的渐近性质,证明了当球体半径趋于0时,中间点近似落在过球体中心的切平面上.
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| 关 键 词： | 多元积分中值定理 中间点 渐近性质 |
On the Intermediate Point of the Law of the Mean for Multiple Integral |
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| WU Xue-zhi. On the Intermediate Point of the Law of the Mean for Multiple Integral[J]. College Mathematics, 2012, 0(4): 117-119 |
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| Authors: | WU Xue-zhi |
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| Affiliation: | WU Xue-zhi(Capital Normal University Library,Beijing 100048,China) |
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| Abstract: | This paper is devoted to studying the asymptotical behavior of the intermediate point of the mean value theorem for integral on the balls with the fixed center.We show that the intermediate point of is asymptotically in the tangent hyperplane at the center of the ball when the radius of the balls approach 0. |
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| Keywords: | the law of the mean for multiple integral intermediate point asymptotic property |
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