| 论3x+1问题 |
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| 引用本文： | 叶承汾. 论3x+1问题[J]. 北京工业职业技术学院学报, 2004, 3(1): 23-30 |
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| 作者姓名： | 叶承汾 |
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| 作者单位： | 北京工业职业技术学院,北京,100042 |
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| 摘 要： | 本文运用三种不同的数学方法,论及3x 1问题整体性质的三个方面:(1)利用柯拉茨函数的反函数,构造了全体C数列复杂的树状结构;(2)借助奇数的划分,提供了相邻两奇数增幅的分布律和等价总增幅;(3)对于ax 1问题,应用不定方程,证得其相邻两奇数增幅的数学期望在奇数a＞3时大于1.
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| 关 键 词： | 柯拉茨函数 奇数的划分 不定方程 |
On "3x + 1"question |
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| Ye Chengfen. On "3x + 1"question[J]. Journal of beijing vocational & technical institute of industry, 2004, 3(1): 23-30 |
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| Authors: | Ye Chengfen |
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| Abstract: | This artcle in virtue of different mathematical methods of three kind, treats of three sides of unitary property about"3x 1"question: (1) Constructed intricate and dendriform frame of total C rebuke in virtue of inverse function of L. Collatz' s function; (2)Provided two conterminous impar amplitude's distributing and total amplitude of equivalence in virtue of impar partition; (3) Proved two conterminous impar amplitude' s mathematical expectation>l(a>3)about"ax 1"question by using diophantine equation. |
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| Keywords: | L. Collatz's function impar partition diophantine equation |
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