Calibration And Resolution Make The Spectrum Visible

Wide Lines Are Resolved

The equality boundary counts as resolved. 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 equality boundary is resolved

The calibrated channels are 11 and 14, giving separation 3.

∣14−11∣=3|14 - 11|=3
Resolution boundaryThe rule is greater-than-or-equal.channelA=11channelB=14separation=3 channelsresolution=3 channelsresolved=1lowerupper5lowerupper13/2

At the threshold, the resolved bit is one

The separation equals the resolution, so the resolved bit is 1.

3≥3,resolved=13\ge 3,\quad resolved=1
Resolved pairThe equality case is explicitly covered.channelA=11channelB=14separation=3 channelsresolution=3 channelsresolved=1lowerupper5lowerupper13/2