#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## look

**1**

[*see also*: glance, inspection, scrutiny] 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.

This inspired us to take a fresh look at all the results in [BG].

A careful look at the proofs reveals that P is measurable.

**2**

[*see also*: view, regard, examine, study, appear, seem] The preceding observation, when looked at from a more general point of view, leads to......

Rather than discuss this in full generality, let us look at a particular
situation of this kind.

Suppose, to look at a more specific situation, that......

The next lemma shows how such a semilattice looks when embedded in a
larger compact semilattice.

Let us see what such a formula might look like, by analogy with Fourier series.

This observation prompted the author to look for a more constructive solution.

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