[see also: necessity, require, necessary] By subtracting a constant if need be, we may assume......
There is no need for the assumption that......
[see also: require, necessitate, necessary] However, (9) needs handling with greater care.
The others being obvious, only (iv) needs proof.
We need to make the smallest possible jump.
This will help us find what conditions on A are needed for T(A) to be analytic.
In case F=R, no integration over M is needed in (5).
The only property of M needed is local compactness. %[Not: “the only needed property'']
More specialized notions from Banach space theory will be introduced as needed.
[modal verb, in questions, negatives or with “only''; see also: have to] We need only consider three cases. [Or: We only need to consider]
Only shifts with k=1 need be considered.
It turns out that nothing more need be done to obtain......
In that case Y need only be metrizable (rather than completely metrizable).
Then F need not satisfy (2). [= F does not necessarily satisfy (2).]
However, it need not be the case that V> W, as we shall see in the following example.