= Cumulative thermal destruction under exponential warming and cooling
{title2=$D(T)=\beta_{\max}[T-e^{-\alpha T}(1-e^{-\alpha T})/\alpha]$}
In an ideal linear temperature-dependent destruction model with equal warming and cooling durations, normalized temperature is $1-e^{-\alpha t}$ during warming and $(1-e^{-\alpha T})e^{-\alpha(t-T)}$ during cooling. Integrating the destruction rate gives $D(T)$, the <logarithm> of the surviving-count reduction factor. If the endpoint destruction rate and thermal relaxation constant stay fixed, changing the temperature gap alone leaves this integral unchanged. This is a property of the stipulated model.
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