#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## for

**1**

We write z=(x,y) for the common point of A and B.

We first consider the M/G/1 queue, where M (for “Markov'') means that......

For D a smooth domain, the following are equivalent.

For m not an integer, the norm can be defined by interpolation.

For (ii), consider...... [= To prove (ii), consider]

As for (4), this is an immediate consequence of Lemma 6. [= Concerning (4)]

Thus F is integrable for the product measure.

Then for such a map to exist, we must have H(M)=0.

The problem with this approach is that V has to be C^{1} for (3) to
be well defined.

Computing f(y) can be done by enumerating A(y) and testing each element for membership in C.

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

Therefore, the system (5) has a solution of the sought-for type.

**2**

[*see also*: because] We must have Lf=0, for otherwise we can replace f by f-Lf. [= because otherwise]

It turns out that it suffices to show that A=1, for if this is proved, the preceding remark shows that......

[This use of “for'' sometimes leads to confusion; e.g., never write: “for x∊ X'' if you mean: * since x∊ X.* Also, avoid starting a sentence with a “For'' in this sense.]

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