| 3N+1猜想中的通常迭代与伸长迭代 |
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| 引用本文： | 邬家邦,黄国麟. 3N+1猜想中的通常迭代与伸长迭代[J]. 广州大学学报(社会科学版), 2001, 0(5) |
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| 作者姓名： | 邬家邦 黄国麟 |
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| 作者单位： | 华中科技大学数学系 湖北武汉430074(邬家邦)，中南民族学院基础课部 湖北武汉430074(黄国麟) |
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| 摘 要： | 讨论了两种迭代的异同，得到了以下结果：①同高连续数对在两种迭代下的不变性；②数对 ｎ和ｎ＋２ｋ的轨迹序列和奇偶矢量之间的关系。
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| 关 键 词： | 3N+1猜想 通常迭代 伸长迭代 同高连续数对 l-tuple 奇偶矢量 |
On the Traditional Iteration and Elongate Iteration in the 3N + 1 Conjecture |
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| WU Jia-bang,HUANG Guo-lin. On the Traditional Iteration and Elongate Iteration in the 3N + 1 Conjecture[J]. Journal of Guangzhou University(Social Science Edition), 2001, 0(5) |
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| Authors: | WU Jia-bang HUANG Guo-lin |
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| Affiliation: | WU Jia-bang1,HUANG Guo-lin2 |
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| Abstract: | 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 it-eration algorithms;2)the relation of trajectory sequence with parity vector of number pairs n and n + 2k . |
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| Keywords: | N + 1 conjecture traditional iteration elongate iteration pairs of consecutive integers of the same height l-tuple parity vector. |
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