【摘要】 <正> 本文给出一个处处连续处处不可导的函数的例。与习见的Weierstrass或Van der Waerden的例的不同之处,在于这里函数的定义无需借助于函数级数一致收敛性的概念。先用归纳法,在区间[0,1]的所有三分点上定义函数A(x),先令更多还原

【Abstract】 An example of a function, continuous and non-differentiable everywshere, is exihibited. The example is different from the well-know examples of Weierstrass and Van der Waevden in that the present construction needs no concept of uniform convergence.更多还原