correct. this is also why math was my favorite subject in school, because it required the least amount of memorization if i could just rederive everything on the spot twitter.com/NLRG_/status/1
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my middle school math teacher once told me that my greatest strength as a mathematician was laziness. i could not stand doing things the hard way or the long way so i was always looking for shortcuts. that eventually forces you to understand everything structurally