What means "under scrutiny" in mathematics

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What means the term "under scrutiny" in mathematics?

I am not a native speaker but I understand that that "under scrutiny" means something like "being watched closely" in general meaning.

As far as I understand "under scrutiny" in mathematics and other sciences means "exploring extreme and rare conditions". For example, one may teach high school students that a rational function may not be defined for some X values or that an optimization algorithm maybe stuck in local maximum under certain rare conditions. Is that correct?