A calibration line is trusted only inside its declared standards. 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 standards declare a signal range

The standard signals run from 2 through 14.

S[2,14]S\in[2,14]
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown

Out-of-range inverse values are rejected

Signal 17 would invert to 5, but it lies outside the declared signal range.

17>1417>14
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown