Actually, I believe the first example was Bolzano's; his construction (see for instance http://demonstrations.wolfram.com/BolzanosFunction/) should be better known. What's especially curious is that the construction can be viewed as a derandomized version of F. B. Knight's construction of Brownian motion developed more than a century later. This stochastic construction yields a continuous nowhere differentiable function with probability 1. (Gotta write that up one of these days...) Jim Propp On Monday, July 6, 2015, Veit Elser <ve10@cornell.edu <javascript:_e(%7B%7D,'cvml','ve10@cornell.edu');>> wrote:
On Jul 5, 2015, at 5:23 PM, Adam P. Goucher <apgoucher@gmx.com> wrote:
until Weierstrass and Blancmagne found their famous examples. I was aware that sentient extragalactic Blancmanges posed a threat to Wimbledon. Their attack on the differentiability of functions is news to me.
-Veit _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun