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]
[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 ......
Arguing as before, we shall end up with a simple tree all of whose facets contain $V$.
Go to the list of words starting with: a
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