Use the same 2 second ruler for both examples so the comparison is fair. One pair sits exactly at the boundary and passes, while the next is 1 second farther apart and fails; real coincidence sorting must keep the same window definition while accounting for clock drift, jitter, and channel delays.

Accepted and rejected timing pairs share one exact rule. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The same window accepts one pair

With a 2 second window, a 2 second separation is accepted.

2≤22\le2
Coincidence windowTicks are accepted only inside the window.ABW=2 sdt=2 schannelATime=3 schannelBTime=5 swindow=2 sdifference=2 saccepted

One more second rejects the next pair

Changing only channel B by 1 second makes the separation 3 seconds.

2+1=32+1=3
Coincidence windowTicks are accepted only inside the window.ABW=2 sdt=3 schannelATime=3 schannelBTime=6 swindow=2 sdifference=3 srejected