| 无穷级数的去括号律与循环抽项交换 |
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| 引用本文： | 郝铁钢,段文英,王丽艳.无穷级数的去括号律与循环抽项交换[J].东北林业大学学报,2006,34(4):106-107. |
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| 作者姓名： | 郝铁钢 段文英 王丽艳 |
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| 作者单位： | 1. 东北林业大学,哈尔滨,150040
2. 黑龙江日报社 |
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| 摘 要： | 收敛级数任意加括号后所得级数仍收敛。一般来说,它的逆命题不正确,但附加一些条件,却有可能是正确的,文中对此展开了讨论,并由此得出一定条件下级数的去括号律,以此来研究循环抽项交换规律。
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| 关 键 词： | 无穷级数 收敛 去括号律 循环抽项交换 |
| 收稿时间： | 2005-08-29 |
| 修稿时间： | 2005-08-29 |
Off-bracket Law of Infinite Series and Circulatory Exchange of Item Extraction |
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| Hao Tiegang,Duan Wenying,Wang Liyan.Off-bracket Law of Infinite Series and Circulatory Exchange of Item Extraction[J].Journal of Northeast Forestry University,2006,34(4):106-107. |
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| Authors: | Hao Tiegang Duan Wenying Wang Liyan |
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| Institution: | 1 Northeast Forestry University, Harbin 150040, P. R. China; 2 Newspaper Office of Heilongjiang Daily |
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| Abstract: | When brackets are arbitrarily added into a convergent series, a new convergent series must be got. In a general way, its converse theorem is not correct. But if append some conditions, it may be correct. Aiming to discuss it, laws of off-bracket and circulatory exchange of item extraction for infinite series were derived under certain conditions. |
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| Keywords: | Infinite series Convergence Off-bracket laws Circulatory exchange of item extraction |
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