#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## precisely

[*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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