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无穷级数的去括号律与循环抽项交换

Off-bracket Law of Infinite Series and Circulatory Exchange of Item Extraction

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【作者】 郝铁钢段文英王丽艳

【Author】 Hao Tiegang, Duan Wenying(Northeast Forestry University, Harbin 150040, P. R. China); Wang Liyan(Newspaper Office of Helongjiang Daily)

【机构】 东北林业大学黑龙江日报社 哈尔滨150040哈尔滨

【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。

【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.

  • 【文献出处】 东北林业大学学报 ,Journal of Northeast Forestry University , 编辑部邮箱 ,2006年04期
  • 【分类号】O173
  • 【下载频次】93
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