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Look at this shmuck, using the supremum of a continuous function on a closed interval when it clearly achieves a maximum. I bet they’ll feel real embarrassed about that one when they’re falling asleep years from now.
Christ, it’s like people just don’t even give a fuck about the extreme value theorem anymore?
I get you are joking, but I’ve seen many literature just using sup for maximum. Maybe for consistency or laziness, idk why
