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Fluctuating rate coefficients are necessary to describe disordered kinetic processes with mass-action rate laws, whether linear or nonlinear. Here we present a measure of the total disorder, static or dynamic, in irreversible decay for $A^i\to \textrm{products}$, $n=1,2,3,\ldots $i=1,2,3,\ldots  n$. We measure the inequality between the time-integrated square of the rate coefficient (multiplied by the time interval of interest) and the square of the time-integrated rate coefficient. Applying this measure of the rate coefficient history to empirical models for disordered kinetics with $i\geq 2$ shows this inequality measures the cumulative deviations in rate coefficients from a constant value for this class of kinetic processes. The equality is a necessary and sufficient condition for the traditional rate laws with ``rate constants'' to hold.