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Fluctuating rate coefficients are necessary to describe disordered kinetic processes with mass-action rate laws, whether the rate equations are  linear or nonlinear. Here we present a measure of the total disorder, static or dynamic, in the kinetics of  irreversible decayfor  $A^i\to \textrm{products}$, $i=1,2,3,\ldots n$. n$ governed by (non)linear rate equations.  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. value.  The equality is a necessary and sufficient condition for the traditional rate laws with ``rate constants'' to hold. hold for this class of kinetic processes.