#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## both

[*see also*: either

Both f and g are obtained by...... [*Or*: f and g are
both obtained]

For both C^{∞} and analytic categories,......

Here C behaves covariantly with respect to maps of both X and G.

We now apply (3) to both sides of (6).

Both conditions <Both these conditions/Both the conditions>
are restrictions only on......
[* Note*: * the* after * both*]

Then C lies on no segment both of whose endpoints lie in K.

Two consecutive elements do not belong both to A or both to B.

Both its sides are convex. [*Or*: Its sides are both convex.]

Here B and C are nonnegative numbers, not both 0.

Choose points x in M and y in N, both close to z, such
that......

We show how this method works in two cases. In both, C is......

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