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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
【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.
【关键词】 无穷级数;
收敛;
去括号律;
循环抽项交换;
【Key words】 Infinite series; Convergence; Off-bracket laws; Circulatory exchange of item extraction;
【Key words】 Infinite series; Convergence; Off-bracket laws; Circulatory exchange of item extraction;
- 【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