Re: Q Wars Episode 10^9: the Phantom Measure

From: <>
Date: Thu, 3 Jun 1999 01:37:30 EDT

In a message dated 99-06-02 14:10:46 EDT, I write:

<< Even if the measure decreases arbitrarily fast, as long as the function is
 continuous ( we cannot have a jump to zero) and all the derivatives are also
 continuous and finite, the function will always have a non-zero value no
 matter how far we go (or how long we wait). >>

Oops... I think I goofed. A linear function could go to zero... What I am
trying to say is that the function could be faster than exponential as long
as it remains greater than zero for ever. For example the Gaussian or the
double exponent: exp(exp(-10x)). Maybe the RELATIVE rate of change of the
function with respect to itself should be limited..... that would make the
function exponential.
I still stand by my previous post assuming the measure falls into a class of
function - such as exponentials- that never reach zero.

George Levy
Received on Wed Jun 02 1999 - 22:39:28 PDT

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