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by dragonwriter 810 days ago
No, a member of the set of local maxima is a a local maximum, just like a member of the set of people is a person, because it is a definite singular.

The plural is also used for indefinite number, so “the set of local maxima” remains correct even if the set has cardinality 1, but a member of the set has definite singular number irrespective of the cardinality of the set.

1 comments

I've been convinced, thanks!