Masking a cell removes that cell from the active coverage ledger, even though the physical grid still spans the original length. The subtraction is exact for the stated active-cell count and pitch; real masks can include dead or noisy channels, partial edge response, changing thresholds, and readout ambiguity.

Active coverage comes from active cells, not total cells. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Masked cells reduce active length

Only 3 of the 4 cells are active, so active length is 6 meters.

3×2 m=6 m3\times2\ \text{m}=6\ \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

Active fraction counts cells, not meters twice

The active fraction is 3 out of 4.

factive=3/4f_{\text{active}}=3/4
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