On Sunday, May 3, 2020 at 12:19:52 AM UTC-6, Brent wrote: > > > > On 5/2/2020 10:50 PM, Alan Grayson wrote: > > You mean to experimentally estimate it from the scatter of results? That >> depends on how accurately you want to estimate. The error scales as >> 1/sqrt(N). In most experiments with photons or electrons, it's easy to >> make N big. But it's also hard to eliminate other sources of scatter that >> have nothing to do with the UP. So only experiments deliberately designed >> for maximum precision are going to push the UP bounds for simultaneous >> measurements. >> >> Brent >> > > If the experiment is designed for max precision, how large does N have to > be to satisfy the UP? TIA, AG > > > That doesn't quite make sense. It takes two to get an estimate of the > variance and the first two you measure may satisfy the UP or they may > violate the NP. The variance, and the std deviation estimators are random > variables, obey a certain distribution. The bigger N the tighter the > estimate. In almost all experiments there will be other sources of > randomness and the estimate will converge around some uncertainty bigger > than h, which is satisfying the UP. > > Brent >
Why doesn't my question make sense? You say that with an ensemble of 2, the product of the standard deviations might violate the UP. So how large must the ensemble be to guarantee satisfying the UP? AG -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ae628106-3287-4e48-a497-76597c60eb93%40googlegroups.com.
