A detector cell grid turns spatial coverage into a finite ledger: cell count times pitch gives the covered length. The arithmetic is exact only for the stated cell pitch and count; real detector coverage also depends on alignment tolerances, edge gaps, fabrication variation, and calibration uncertainty.

A finite cell grid covers count times pitch. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Cell count times pitch gives coverage

The training detector has 4 cells, each 2 meters wide.

L=4×2 mL=4\times2\ \text{m}
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratio

The coverage bar is eight meters long

The checked total length is 8 meters.

L=8 mL=8\ \text{m}
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratio