#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## from

This is immediate from 3.2.

We see from (2.3) that......

From (2.3) we have......

Then X is the Swiss cheese obtained from the family D.

Thus A can be written as a sum of functions built up from B, C, and D.

From now on, F will be fixed.

Consider the family of ordered triples of elements from F.

The main difference from the case of finite coding trees is the presence of limits.

Clearly, the contribution from those r with A(r)>0 can be neglected.

In Lemma 6.1, the independence of F from V is surprising at first.

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