#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## improve

[*see also*: refine, progress, better

The following example shows that the degree of smoothness predicted by
Theorem 6 cannot be improved on.

The condition...... can be improved by employing a strategy similar to that underlying the proof of Theorem 2.

We note in passing that Fox has subsequently improved Barnes's result by showing that......

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