You know, given the math-y introduction, this rant would read even better with "denormalization" replaced with "numerical methods". The Euler's beautiful identi

You know, given the math-y introduction, this rant would read even better with "denormalization" replaced with "numerical methods". The Euler's beautiful identity becomes ugly, not at all the same thing, and certainly not "simpler". They only give you approximate solutions! All in the name of performance! And many number crunchers can offer the "numerical solution" option, but few... nay, none could tell what the precise analytical model would have been. Oh, the humanity! Well, it sure does suck that instead of perfect analytical solutions/perfectly normalized data models we have to deal with numerical approximations/denormalized schemas that may or may not have dubious properties that are usually tend to ignore in hope that they are actually fine but... that's just how it is. Deal with it, I guess.