Readout acceptance follows positive interval overlap, including endpoint rejection. 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 first signal overlaps by four seconds

Signal interval 6 to 10 overlaps the window 4 to 11 by 4 seconds.

Δt=min(10,11)max(6,4)=4\Delta t=\min(10,11)-\max(6,4)=4
Readout overlap scan rowPositive overlap accepts the signal.windowsignaloverlapsignal accepted

A narrow positive overlap still accepts

A later signal from 10 to 14 overlaps the same window by only 1 second, but the overlap is positive.

Δt=min(14,11)max(10,4)=1\Delta t=\min(14,11)-\max(10,4)=1
Readout overlap scan rowOne exact second is still accepted.windowsignaloverlapsignal accepted

Touching the endpoint gives zero accepted overlap

A signal starting at 11 only touches the window endpoint at 11. Its overlap is 0, so it is rejected.

Δt=min(14,11)max(11,4)=0\Delta t=\min(14,11)-\max(11,4)=0
Readout overlap scan rowEndpoint touch is not positive overlap.windowsignalno overlapsignal rejected