A detuned pulse is treated as no response when it matches neither declared transition gap, even if it is numerically nearby. The no-fire result is exact only for the ideal equality test and stated values; physical systems respond with finite linewidths, power broadening, noise, thermal drift, and threshold choices in measurement.
A nearby value is not treated as a physical response in this finite model. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Detuning misses the target
A detuned pulse of 5 does not equal the target gap 6.
5=6
It also misses the neighbor
The same pulse 5 does not equal the neighbor gap 4. No transition is inferred from a nearby value.