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.
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.]
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] 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 will not use this fact in any essential way.
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