| 取整函数及其生成的数列 |
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| 引用本文： | 谭毓澄.取整函数及其生成的数列[J].数学学习,2011(5):22-25. |
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| 作者姓名： | 谭毓澄 |
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| 作者单位： | 九江学院理学院,江西九江332005 |
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| 基金项目： | 江西省省级教改课题（JXJG-08-17-9）. |
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| 摘 要： | 讨论三类整数列，这些数列的后项均是由前项与非整数乘积再取整后得到的，对应的取整函数分别为四舍五入取整函数、下取整函数、上取整函数．结果表明这三类整数列均为二阶线性递归数列．
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| 关 键 词： | 取整函数 整数列 二阶线性递归数列 |
Integer Rounding Functions and Related Sequences |
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| TAN Yu-cheng.Integer Rounding Functions and Related Sequences[J].Studies In College Mathematics,2011(5):22-25. |
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| Authors: | TAN Yu-cheng |
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| Institution: | TAN Yu-cheng (School of Science and Mathematics, Jiujiang University, Jiujiang 332005, PRC) |
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| Abstract: | For a given function, a sequence can be constructed as following： the current l;erm is the function of the product of the previous term and a fixed non-integer constant. Three rounding integer functions are considered in this paper. The results indicate that the corresponding sequences are the second order linear recursion sequences. |
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| Keywords: | integer rounding functions integer sequence second order linear recursion sequence |
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