#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## point

**1**

[*see also*: issue, subject, matter, topic, detail, aspect, feature, element, characteristic, ingredient, essence, core] The preceding observation, when looked at from a more general point
of view, leads to......

It is this point of view which is close to that used in C^{*}-algebras.

The point of the lemma is that it allows one to......

The point is that the operator is now much easier to analyse than is the case in the original
setting of the space B.

An important point is that......

The only point remaining concerns the behaviour of......

In [2], this theorem is made the starting point of Gelfand theory.

See [KT] for discussion of this technical point.

We would like to know...... but that is beyond our reach at this point.

At this point, the reader is urged to review the definitions of......

Perhaps it is appropriate at this point to note that a representing measure is countably additive if and only if......

The arguments from this point up to Theorem 2 do not depend on......

**2**

The vector v points in the negative direction <points
north> for x<0.

The vector points outwards from M.

It is sufficient to prove that this vector field points
outwards on ∂ M.

Here M is a unit vector normal to ∂ M pointing into M.

the inward pointing unit normal to ∂ M

All the evidence points to the validity of the conjecture.

One unusual feature of the solution should be pointed out.

However, as pointed out right after (5),......

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