The nonparalyzable dead-time model solves for accepted integer counts using the source rate, clock time, and fixed recovery interval. The solved count is exact only for the declared model inputs and ideal non-overlapping recovery rule; real detectors add rate variation, pileup, threshold effects, afterpulsing, and timing uncertainty.
The non-paralyzable model solves a count equation. 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 count solves a checked recovery equation
With rate 2 hertz, clock 12 seconds, and dead time 1 second, the accepted count is 8.
8(1+2×1)=2×12
The solved count must be an integer
The equation gives exactly 8 detected counts, so the count markers are integer markers.