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Re: [Phys-l] The Pathological Quadratic Revisited.



*Ho hum....A better pointer to the album

B.

http://tinyurl.com/2fyxbur*

On 9/1/2010 9:21 PM, brian whatcott wrote:
As advertized, this was a puzzle of unusual interest.
I finally plotted root statistics for the addition of judicious amounts
of Gaussian noise
of mean zero and specified SD, to each of the polynomial
coefficients, and read out the
much greater contribution (about X24) that noise makes to the roots.

<http://i880.photobucket.com/albums/ac6/betwys/quadratic/24.jpg>

I show plots for the addition of noise amplitudes with mean value zero,
and SDs of 1E-5, 2E-5, 4E-5, 8E-5, 16E-5, 20E-5, and 24E-5

Brian W