Control windows are exact gates, including endpoints and near misses. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

All three controls fit the inclusive gate

Controls 9, 10, and 11 are inside target 10 plus or minus 1. The row pass bit is 1.

Δc1,A=1\Delta c\le1,\quad A=1
Control gateControls pass only inside the inclusive target window.targettolerancepasspasspass

One low control blocks the row

The second row changes the first control to 8. Its distance from target 10 is 2, which is greater than tolerance 1. The row pass bit is 0.

2>1,A=02>1,\quad A=0
Control gateControls pass only inside the inclusive target window.targettolerancefailpasspass

A wider tolerance still has a boundary

The third row has tolerance 2. Controls 8 and 12 pass, but control 13 is outside. The row pass bit is 0.

Δc=3>2\Delta c=3>2
Control gateControls pass only inside the inclusive target window.targettolerancepasspassfail