Mathematical English Usage - a Glossary

by Jerzy Trzeciak

possible

[see also: feasible, likely, plausible]

It is not generally possible to restrict f to the class D.

It is possible for the hull of J to have exactly two points.

the shortest possible way

the maximum possible density

This result is best possible. [Or: the best possible]

The above bound on an is close to best possible.

We will try to give it the simplest representation possible.

It seems preferable, for clarity's sake, not to present the construction at the outset in the greatest generality possible.

Every possible such sequence gives rise to......

We wish to arrange that f be as smooth as possible.

For this purpose, it is necessary to understand the mapping properties of B on as large a function space as possible.

We follow where possible the argument of Lang [9].

Also, wherever possible, we work with integer coefficients, enabling us to obtain information about torsion.

This makes possible the proof of......

This makes it possible to show that...... [Note that the it is necessary here.]


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