An ideal detector calibration is an affine map. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Calibration starts from the net count

After dark subtraction, the net signal is 12.

Cnet=12C_{\text{net}}=12
Detector calibrationBaseline and gain set the reported signal.measureddarknetoutput1531225

Gain and offset make an affine output

The gain is 2 and the offset is 1, so the output is 25.

Y=2Cnet+1=25Y=2C_{\text{net}}+1=25
Detector calibrationBaseline and gain set the reported signal.measureddarknetoutput1531225