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Showing content from https://mail.python.org/pipermail/python-dev/2002-October/029120.html below:

PEP239 (Rational Numbers) Reference Implementation and new issues

[Python-Dev] Re: PEP239 (Rational Numbers) Reference Implementation and new issues [Python-Dev] Re: PEP239 (Rational Numbers) Reference Implementation and new issuesTim Peters tim.one@comcast.net
Thu, 03 Oct 2002 15:53:16 -0400
[Oren Tirosh]
> ...
> I was thinking more of estimates based on the assumption that errors are
> normally distributed and track standard deviation. SD grows more slowly
> (i.e. realistically) than true error bounds.  Have you ever tried
> measuring noise or bit error rates in a simulation that runs thousands
> of times slower than real time? (change a paremeter, rinse, repeat).
> Something that quickly estimates the error energy could be useful.

If you run Emacs, get Dave Gillespie's woefully underappreciated calc-mode
and look up "error forms".  He did a pretty thorough implementation of the
concept, including for transcendentals and complex numbers.

> I guess that "everything is gaussian" is an approximation only an
> engineer  could love and makes mathematicians shake their heads
> in disgust :-)

Pure mathematicians, yes; applied mathematicians would chuckle at how
cautious you are <wink>.




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