The occupancy scan counts how many hits remain visible after masking and compares that count with a ceiling. Four seen hits stay below the ceiling, six hits land exactly on it, and eight hits exceed it, while the occupancy fractions show the same trend. Real occupancy limits depend on threshold settings, masked channels, pileup, timing windows, readout saturation, finite samples, and uncertainty.

Seen hits bracket a ceiling while occupancy fractions stay exact. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four seen hits stay below the ceiling

Raw hits 6 split into seen 4 and masked 2 against capacity 8.

m=Nmax⁡−Ns=6−4=2, o=1/2m=N_{\max}\mathbin{-}N_s=6\mathbin{-}4=2,\ o=1/2
Hit occupancySeen hits are counted against channel capacity.raw=6 countseen=4 countmasked=2 countcapacity=8 countrawHits=6 countseenHits=4 countmaskedHits=2 countcapacity=8 countoccupancyFraction=1/2 ratio

Six seen hits land on the ceiling

Raw hits 8 split into seen 6 and masked 2 against capacity 8.

m=Nmax⁡−Ns=6−6=0, o=3/4m=N_{\max}\mathbin{-}N_s=6\mathbin{-}6=0,\ o=3/4
Hit occupancySeen hits are counted against channel capacity.raw=8 countseen=6 countmasked=2 countcapacity=8 countrawHits=8 countseenHits=6 countmaskedHits=2 countcapacity=8 countoccupancyFraction=3/4 ratio

Eight seen hits exceed the ceiling

Raw hits 9 split into seen 8 and masked 1 against capacity 8.

m=Nmax⁡−Ns=6−8=−2, o=1m=N_{\max}\mathbin{-}N_s=6\mathbin{-}8=-2,\ o=1
Hit occupancySeen hits are counted against channel capacity.raw=9 countseen=8 countmasked=1 countcapacity=8 countrawHits=9 countseenHits=8 countmaskedHits=1 countcapacity=8 countoccupancyFraction=1 ratio