improve: NAME_1 and his contemporaries, however, did not see the need to correct the energy sequence of the oscillators used to model radiating matter. If they had paid even the slightest attention to the original sequence, they would have realized that, under the given physical assumptions, it is mathematically impossible for an oscillator to have zero energy, because in that case an oscillator with $\hbar\omega$ energy or its multiples could lose that energy, or an oscillator with zero energy could gain it. In fact, a quantized oscillator can only exist in a state of minimal, non-zero energy.