[see also: account, discuss, address, deal, regard, think, take up, treat, view]
We shall be considering $L$ on various function spaces.
All our results can be extended in this way, but we shall stick to considering $P$ rather than $P'$.
Here $U$ is considered $\langle$viewed/regarded$\rangle$ as acting on $M$.
An arc is considered a degenerate star.
There are several cases to consider: ......
For size 1 this makes no difference, but for sizes 2 and 3 it considerably cuts down the number of cases to be considered.
We consider every subset of $N$, whether finite or infinite, to be an increasing sequence.
The product being considered grows like $n^3$.
Here the constants of proportionality depend on the particular curve being considered.
We begin by describing the class of functions $f$ considered, which includes the special cases quoted above.
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