| Topic: |
Science > Physics |
| User: |
"OsherD" |
| Date: |
15 Jul 2005 06:38:18 PM |
| Object: |
Gentlemen, Watch Your Metrics |
From Osher Doctorow
So you thought that physics and mathematics were too easy, eh?
Along comes Y. Charles Li, "On the true nature of turbulence,"
arXiv:math.AP/0507254 v1 13 Jul 2005. Li is at U. Missouri Columbia
Math Dept. Li's conclusion: turbulence cannot be averaged but may be
"controlled" in a non-averaged way.
Quantum theorists relying on expectations and variances and
uncertainties will undoubtedly be disappointed, since non-averaging
knocks out all those quantities. However, as a mathematician
specializing in probability-statistics, I find it amusing. Probability
people especially don't claim that averages are better than other
probability-related concepts or tools. Statisticians, who with a few
theoretician exceptions are mostly like "probability engineers," may
shed some crocodile tears since their common password tends to be "keep
on sampling" which is rather annoying without averages. But since
statisticians eventually take their cues from probability (sometimes
when the previous statistical bureaucracy dies out), all's well that
ends well :>)
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Gentlemen, Watch Your Metrics |
15 Jul 2005 06:47:53 PM |
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From Osher Doctorow
I should mention that the global well-posedness of the Navier-Stokes
equations which Li studies has been selected as one of the Clay
Mathematics Institute's seven one-million-dollar problems.
Li is into one-dimensional chaos and Bernoulli shift dynamics of
turbulence. Perhaps one should also say: Gentlemen and Ladies, guard
your codes.
Osher Doctorow
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