#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## end

**1**

[*see also*: aim, purpose

At the end of Section 2, we prove...... [*Not*: “In the end of”]

Now F is defined to make G and H match up at the left end of
I.

We shall find it convenient not to distinguish between two such sequences which differ only
by a string of zeros at the end.

To this end, we first consider...... [= For this purpose; * not*: “To this aim”]

Thus in the end F will be homogeneous. [= finally]

**2**

[*see also*: conclude, finish, terminate] The path ends at x.

The word ends in a.

a word starting with a and ending with b

The exact sequence ends on the right with H(X).

We end this section by stating without proof an analogue of......

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