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

作　　者：郝铁钢[1] 段文英[1] 王丽艳[2] 

机构地区：[1]东北林业大学,哈尔滨150040 [2]黑龙江日报社

出　　处：《东北林业大学学报》2006年第4期106-107,共2页Journal of Northeast Forestry University

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。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 

分 类 号：O173.1[理学—数学]