摘要
从概率的观点对于数e的意义给出了一个新的解释,证明了当n→∞时,n元集合的一个变换是重排变换的概率的极限是-e 1,n元集合的一个变换恰有m个不动点的概率的极限是1也有完全相同的结论.
In this paper, a new interpretation of the number ＂e＂ is given in the view of the probability, it is showed that the probability a map of [n] is a derangement approaches e^-1 as n→∞, and that the probability a map of [n] has m fixed points approaehes e^-1/m! as n→∞, the same facts are true for the permutations and the partial maps of [n].
出处
《数学的实践与认识》
CSCD
北大核心
2005年第12期217-218,共2页
Mathematics in Practice and Theory
基金
兰州理工大学优秀青年教师培养计划资助(ZS052-B25-016)
关键词
置换
变换
偏映射
重排
不动点
概率
Permutation
transformation
partial map
derangement
fixed point
probability
