Subject: Re: [HM] Weierstrass, pathological functions
From: Sam Kutler (s-kutler@sjca.edu)
Date: Thu Aug 24 2000 - 08:25:54 EDT
Bill Everdell and all:
Bill wrote
> Carl Weierstrass reported an everywhere continuous, nowhere
> differentiable function to the Berlin Koenigliche Akademie
> der Wissenschaft on 18 July, 1872 (in Weierstrass, Werke, v2,
> 1895, p71-74)
But, Bill and all, is that function what we had meant by continuous.
Sure, we meant that we can change f(x) by as little as possible by
changing x by a small enough distance, but didn't we mean more than
that?
Best wishes,
Sam Kutler
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