I knew I was getting in over my head.
Couple of off-the-wall observations here.
1) Why does this bring the word "ergodic" to mind?
(look it up on www.m-w.com...)
2) This also seems like the way I have been told some
drug companies and others investigate the effects
of chemical additives on organisms--overdosing
on a given chemical all at once to simulate
cumulative, long-term exposure.
Cheers!