Another group of importance in physics is $SL_{2}(R)$.

In the next section we introduce yet another formulation of the problem.

It has some basic properties in common with another most important class of functions, namely, the continuous ones.

We have thus found another three solutions of (5). [= three more]

Here the interesting questions are not about individual examples, but about the asymptotic behaviour of the set of examples as one or another of the invariants (such as the genus) goes to infinity.

Then one $Y_i$ can intersect another only in one point.

It is highly likely that if one of the $X$'s is exchanged for another, the inequality fails.

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