#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## maximum

[*see also*: maximal, supremum

The function g attains <takes/achieves> its maximum at x=5.

For example, F reaches a relative maximum of 5.2 at about x=2.1.

Now (c) asserts only that the overall maximum of f on U is
attained at some point of the boundary.

This has a maximum value of 4 when x=2.

Then V(x) is the maximum value of J_{x}(v) over all controls v.

Let q be the maximum number of variables occurring in...... [Note
the double * r* in * occurring.*]

vectors in V at maximum distance from v

the maximum possible density

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