proof?
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The x^x form of the identity (also given at https://en.wikipedia.org/wiki/Sophomore%27s_dream …) is the historically primary one, and arguably more natural. Johann Bernoulli presents it (and not the x^-x form) in his letter to Leibniz of May 1694.
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The reason for preferring the less natural x^-x form seems to be that it makes the sum easier to write in sigma notation — a pedantic modern obsession not shared by anyone in the 17th century. Bernoulli simply wrote out the first five terms, so to him there was no problem.
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I've heard of that freshman's dream mostly in the context of Z/nZ, in which case it's actually true.
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"I've heard of that freshman's dream mostly in the context of Z/nZ, in which case it's actually true." If n is prime.
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Beautiful!!!....
Thanks. Twitter will use this to make your timeline better. UndoUndo
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Again, in English please?!
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