Three channel separations straddle the detector resolution floor. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Resolution compares separation with the floor

Line A is at channel 11 and line B is at channel 13. Their separation is 2 channels against floor 3, so resolved is 0.

1311=2<3,resolved=0|13 - 11|=2<3,\quad resolved=0
Resolution separation scanThe floor stays fixed while the channel separation changes.A=11B=13channel axissep=2floor=3resolved=0lowerupper5lowerupper6

Resolution compares separation with the floor

Line A is at channel 11 and line B is at channel 14. Their separation is 3 channels against floor 3, so resolved is 1.

1411=33,resolved=1|14 - 11|=3\ge3,\quad resolved=1
Resolution separation scanThe floor stays fixed while the channel separation changes.A=11B=14channel axissep=3floor=3resolved=1lowerupper5lowerupper13/2

Resolution compares separation with the floor

Line A is at channel 11 and line B is at channel 15. Their separation is 4 channels against floor 3, so resolved is 1.

1511=43,resolved=1|15 - 11|=4\ge3,\quad resolved=1
Resolution separation scanThe floor stays fixed while the channel separation changes.A=11B=15channel axissep=4floor=3resolved=1lowerupper5lowerupper7