The Product Rule generalized to order n derivatives.pic.twitter.com/hEzRsHQvOZ
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This is why nth derivative superscript notation is bad. The added parentheses do not help that much.
(f*g)^n = (f+g)^n doesn't make sense by simple consideration of units
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My point is that if there was such a thing as "Erdos Book" not only it would contain perfect proofs but they will be in a much better notation than the one we have right now.
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