分析中的一个反例

A Counterexample of the Mathematical Analysis

构造了一个严格单调函数满足在闭区间[a,b]上连续,开区间(a,b)内可导,且在无限个点处导数等于零,同时具一般性地给出了构造指定阶数光滑的、单调的、无限多次凸凹性变化曲线的方法.

Gives a strictly monotone function being continuous in and differentiable in(a,b) with infinite elements that their differentials are equal to zero,that is,gives a general way to construct a smooth and monotonous curve whose convexity-concavity is changeable ceaselessly.