摘要
讨论了通常迭代与伸长迭代的异同 ,得到了以下 2个结果 :1同高连续数对在 2种迭代下的不变性 ;2数对 n和 n+ 2 k 的轨迹序列和奇偶矢量之间的关系可使自然数的研究转化为对其奇偶矢量的研究 .
The similarities and differences between traditional iteration and elongate iteration are discussed,and the following conclusions are drawn:(1) the invariability of pairs of consecutive integers of the same height under the two iteration algorithms and the relation of trajectory sequence with parity vector of number pairs n and n+2 k ,then the study of natural numbers can turn into that of parity vector.
出处
《中南民族学院学报（自然科学版）》
2001年第4期73-77,共5页
Journal of South-Central University for Nationalities(Natural Sciences)
关键词
3N+1猜想
同高连续数对
通常迭代
伸长迭代
奇偶矢量
轨迹序列
N+1 conjecture
pairs of consecutive integers of the same height
parity vector
traditional iteration
elongate iteration
