摘要
构造了一个在闭区间上连续,开区间内可导的严格单调可微函数,其驻点集与实数集等势。该函数说明在闭区间上连续,开区间内可导的严格单调可微函数,其驻点的个数可以相当"多"。
Our paper constructs a differentiable strictly monotonic function which is continuous on closed interval, differentiable in open interval and the set constituted by its stationary points is equipotential to real number set. This function indicates that as a strictly monotonic function which is continuous on closed interval,differentiable in open interval,its stationary points could be very ＂excessive＂.
出处
《南京邮电大学学报（自然科学版）》
北大核心
2012年第4期110-112,共3页
Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition
关键词
严格单调函数
驻点
势
strictly monotonic function
stationary points
potency
