Sampling the function to get a time series makes a vector-valued random variable out of a stochastic process, and numerical differentiation on that random vector is still deterministic.
This is not correct. Given the vector of all values of A sampled at intervals dt, the derivative of that vector—that is, the time series for B—is not determined by the vector itself, only by the complete trajectory of A. The longer dt is, the less the vector tells you about B.
This is not correct. Given the vector of all values of A sampled at intervals dt, the derivative of that vector—that is, the time series for B—is not determined by the vector itself, only by the complete trajectory of A. The longer dt is, the less the vector tells you about B.
True. I was also assuming that