| 3X+1问题中的循环圈 |
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| 引用本文： | 谭季伟.3X+1问题中的循环圈[J].湖北师范学院学报(自然科学版),1988(1). |
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| 作者姓名： | 谭季伟 |
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| 作者单位： | Department of Mathematics，HuBei Normal University |
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| 摘 要： | 如果3x+1猜想成立的话,在大于1的整数中就不存在循环圈因而探讨循环圈形成的条件与判断3x+1猜想是否成立有着密切的联系。本文给出了循环圈存在的充要条件,指出不存在圈长大于1小于24的循环圈。
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| 关 键 词： | 循环圈 圈长 循环数 |
THE CIRCULATORY CIRCLE ON THE_(3x+1)PROBLEM |
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| Taw Jiwei.THE CIRCULATORY CIRCLE ON THE_(3x+1)PROBLEM[J].Journal of Hubei Normal University(Natural Science),1988(1). |
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| Authors: | Taw Jiwei |
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| Abstract: | If the 3x+1 conjeotureis true, there is no circle amony the integers greater than one.Soinq uiring into the conditions that the circle comes into being has close connection with judging whether the 3x+1 conjecture is true. This paper has shown the necessary and sufficient conditions that the circle can exist, and pointed cut that there is no such circle whose length is greater than one and less than twenty-four. |
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| Keywords: | circulatory circle circle length circulating number |
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