Where we could, we have chosen these examples from naturally occurring mathematical structures. [Note the double r in occurring.]
The number of distinct values that could be in a memory cell is at most $s$.
This shows that $f$ could not have $n$ zeros without being identically zero.
Without losing any generality, we could have restricted our definition of integration to integrals over all of $X$.
It is possible that the methods of this paper could be used to ......, but there remain considerable obstacles to overcome.
One might hope that in the particular case of the GL energy, this could be established, but we do not see an easy path to such a conclusion.
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