[see also: alter, change, adjust, vary, revise]

The function of Lemma 2 can be easily modified to obey the extra condition.

If $h$ is modified by the addition of a suitable constant, it follows that ......

We finish by mentioning that, suitably modified, the results of Section 2 apply to the $AP$ case.

To obtain the required map one must modify the method as explained in [9].

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