Is it redundant to say iterate over? I cannot think of any other word that you'd use with iterate, so is it acceptable (or correct, even) to drop the over?
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Iterate over what? I guess that is the point.
To 'iterate' is to repeat something, say, an action, so we can iterate a procedure, or we can iterate over x, or iterate through x. So:
Note the difference between iterate and reiterate as some might find it subtle, where reiterated becomes continuous:
In this case:
Iterate is a transitive verb, meaning to repeat something, which is often used mathematically: if you want to say you do a procedure again, you would say
In mathematics or computing, if you want to say you do the procedure on every object in some set $S$, you would say
If the person you're talking to knows what the procedure is, you can drop it from the sentence:
You need the word over in this sentence, because you're not iterating the set; you're iterating the procedure.
If you're not talking about mathematics, I don't think you'd use the preposition over:
or, if your audience understands you're talking about decontamination: