#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## purpose

[*see also*: aim, end, object, objective, intention

Let us now take a quick look at the class N, with the purpose of determining
how much of Theorems 1 and 2 is true here.

For this purpose, we first define......

The purpose of this paper is to provide simple exact upper bounds for
the case where......

A detailed exposition, more suited to the purposes of the present
article, is given in [9].

The motivation for the results of this section is the following result of John
(paraphrased slightly to suit our purposes).

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