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beyond the valley of the sig figs



Hi --

Over on the chemed-l list, the annual recrudescence of the
sig-digs discussion is in progress.

My take on all this:
-- Counting digits tells you nothing. It gives neither an
upper bound nor a lower bound on the uncertainty.
-- Round off for convenience, provided it doesn't cut into
your accuracy.
-- Keep plenty of guard digits on intermediate results.
-- Do not round to express uncertainty.
-- Instead, express uncertainty separately. Anybody who really
cares about the data does it this way.

For a discussion, including simple examples and rather complicated
examples, see
http://www.av8n.com/physics/uncertainty.htm

I recently added a section on manual methods for propagation of
uncertainty:
http://www.av8n.com/physics/uncertainty.htm#sec-manual-prop