#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## use

**1**

[*see also*: application, means, via, utility] Apart from these two chapters, we make no use of the results of [4].

The proof makes essential use of the Sobolev inequalities.

This section makes heavy use of a theorem of Alsen and related results.

Our proofs make substantial use of classical topology of the plane.

That is---apart from the use of relaxed controls---precisely the stochastic
Bellman equation.

In the following applications use will be made of......

The idea behind our use of the σ's is that......

We now state a result that will be of use later.

For later use in conjunction with the weighted averages
occurring in (2), we next consider...... [Note the double * r* in
* occurring.*]

For future use, choose any monotone h(m) tending to infinity such that......

The second way of constructing K(F) is through the use of......

Some proofs may be simplified by the use <by use> of......

**2**

[*see also*: apply, employ, exploit] We conclude with two simple lemmas to be used mainly in......

The advantage of using...... lies in the fact that......

Quite a few of them are now widely used.

We obtain (using the fact that Q is a probability measure) Q(A)=......
[*Not*: “using that'']

This method can be used for solving......

We shall not use this fact in any essential way.

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