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Mathematics
General Math
Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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[QUOTE="Office_Shredder, post: 6848312, member: 53426"] Shoot. I dug into this a little bit, and the maximum value occurs at an eigenvector of ##A^*A##. The rest of my post quickly falls apart, whoops. I like your answer for #9, and it gives a much stronger result than my approach which was to cover the whole space in ##\epsilon## width intervals and observe one intersection must have positive measure by additivity. #10 feels like it might be a standard result every first year undergrad knows, but it doesn't quite match the ones I thought of when I saw these words z so might even be false. #10) Prove or disprove: Every uniformly continuous function that is differentiable on a closed interval is necessarily Lipschitz continuous. I think differentiable on a closed interval requires the one sided derivatives to exist on the endpoints, but if dropping that changes the answer I'm interested in that fact. [/QUOTE]
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Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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