[see also: exactly, specifically]
We do not exclude the possibility that $A$ consists of precisely the polynomials.
The resulting metric space consists precisely of the Lebesgue integrable functions, provided we identify any two that are equal almost everywhere.
Precisely $r$ of the intervals $A_i$ are closed.
Thus $A$ and $B$ are at distance precisely $d$.
We have $d(f,g)=0$ precisely when $f=g$ a.e.
Important analytic differences appear when one writes down precisely what is meant by ......
More precisely, $f$ is just separately continuous.
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