#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## need

**1**

[*see also*: necessity, require, necessary] By subtracting a constant if need be, we may assume......

There is no need for the assumption that......

**2**

[*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.

**3**

[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.

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