#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## require

[*see also*: call for, entail, demand, want, desire, necessitate, force, involve

Then f=1, as required <claimed/desired>.

In addition to f being convex, we require that F be holomorphic. [Note
the subjunctive * be.*]

This is equivalent to requiring that......

If (ii) is required for finite unions only, then M is called an algebra of
sets.

When clarity requires it, we shall write I_{A}(f) instead of I(f). [Note that the * it* is necessary here.]

Many of the results that follow only require W to satisfy (8).

The algebraic properties (i) and (ii) required of j are evidently true.

Lemma 3 does not require D to be prime.

The only point that requires care is the verification of......

The projection technique requires the introduction of an appropriate
homomorphism.

We require a method of dividing z into subwords z_{i} for which we know the structure of f(z_{i}).

We shall show that V is the required open cover.

Back to main page