so much for i.i.d. random variables. we don't know if the variables are random and have no way to tell - definitely - if they are independent or identically di

so much for i.i.d. random variables. we don't know if the variables are random and have no way to tell - definitely - if they are independent or identically distributed. i was always confused when cryptography textbooks only talk about pseudorandomness. probably `import random` is not sufficient for them and I was also confused by ergodic theory textbooks, which qualify levels of randomness like "equidistributed" or "3-fold mixing" but we can find dynamical systems which only go so far. that would be an interesting experiment to see what happens to the law of large numbers if the randomness bits are correlated.