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Floating point numbers (real numbers in computer jargon)
are a special form of rational numbers.
The denominators of these rational numbers are powers of the
base (2 or 10 for IEEE standard representations).
Provided that *n* is relatively prime to the base, we can always
compute their signatures.
Notice however that there is no notion of approximation,
i.e. we cannot conclude anything about
|*S*_{n}(*a*)-*S*_{n}(*b*)|from
.

*Gaston Gonnet*

*1999-07-04*