取整函数及其生成的数列  

Integer Rounding Functions and Related Sequences

作　　者：谭毓澄[1] 

机构地区：[1]九江学院理学院,江西九江332005

出　　处：《高等数学研究》2011年第5期22-25,共4页Studies in College Mathematics

基　　金：江西省省级教改课题(JXJG-08-17-9)

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.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.

关 键 词：取整函数 整数列 二阶线性递归数列 

分 类 号：O13[理学—数学]