10 Apr
2013
10 Apr
'13
2:58 a.m.
On Wed, Apr 10, 2013 at 1:09 AM, Bill Gosper <billgosper@gmail.com> wrote:
Here <http://gosper.org/flattop.png>'s a more traditional plot near z=0. --rwg
Oops, and here's A. Goucher's missing antecedent: When you said `ultraflat', I thought you were referring to the property of all derivatives being zero at that point. Obviously, complex-differentiable functions (such as yours) cannot have this property (except for constant functions); however, there are infinitely differentiable examples over the reals such as f(x) = exp(-1/x^2). A function with this property is considered here: http://cp4space.wordpress.com/2013/02/28/radical-tauism/ Sincerely, Adam P. Goucher