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关于正整数的完备分拆的界
引用本文:普昭年.关于正整数的完备分拆的界[J].河西学院学报,2006,22(2):25-26.
作者姓名:普昭年
作者单位:河西学院数学系,甘肃,张掖,734000
摘    要:利用文献1]给出的正整数的完备分拆的充要条件,给出了正整数n的完备分拆的分部量和分部数的一个界.其中正整数n的完备分拆是指n的包含不大于n的所有正整数的唯一分拆的分拆,而n的分拆是将n表示成若干个正整数的无序和,所分成的正整数称为分拆的分部量,而分成的正整数的个数称为分拆的分部数.

关 键 词:完备分拆    分部量  分部数
收稿时间:08 20 2005 12:00AM

Some Bounds of the Perfect Partition of Integer Positive
PU Zhao-nian.Some Bounds of the Perfect Partition of Integer Positive[J].Journal of Hexi University,2006,22(2):25-26.
Authors:PU Zhao-nian
Institution:Department of Mathematics, Hexi University, Zhangye, Gansu 734000, China
Abstract:In this paper,a bound of parts of perfect partition of a positive n and a bound of the number of the parts are given respectively by the necessary and sufficient condition of the perfect partition which is given in 1].A partition of integer positive n is said to be perfect partition if it contains just one partition of every number from one to n.And a partition of a positive integer n is representation of n as an unordered sum of one or more positive integers.The divided positive integer is called part of the partition.And the number of divided positive integer is called number of parts of the partition.
Keywords:Perfect partition  Bound  Part of partition  Number of parts of partition
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