FOM: nowhere differentiable/natural
Martin Davis
martin at eipye.com
Thu Aug 5 19:37:26 EDT 1999
At 03:12 PM 8/5/99 -0700, Martin Davis wrote:
>
>I don't see anything "unnatural" about Weierstrass's original example:
>
> SUM[0 to infinity] [b^n cos(a^n \pi x)]
>
>Here 0<b<1 and a is an odd positive integer. (Titchmarsh, THEORY OF
>FUNCTIONS, p.351.)
>
I should have added the condition ab > 1. (Tichmarsh only deals with the case
ab > 1 + 3\pi/2)
Martin Davis
Visiting Scholar UC Berkeley
Professor Emeritus, NYU
martin at eipye.com
(Add 1 and get 0)
http://www.eipye.com
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