deletions | additions       diff --git a/Nonlinear irreversible kinetics.tex b/Nonlinear irreversible kinetics.tex  index f95d151..9ee13ae 100644  --- a/Nonlinear irreversible kinetics.tex  +++ b/Nonlinear irreversible kinetics.tex 
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\begin{equation}  k_i(t) \equiv  \begin{cases}  \displaystyle\frac{-d\ln S_1(t)}{dt} \displaystyle -\frac{d}{dt}\ln S_1(t)  & \text{if } i = 1 \\[3pt] \displaystyle\frac{d}{dt}\frac{1}{S(t)^{i-1}} \displaystyle +\frac{d}{dt}\frac{1}{S_i(t)^{i-1}}  & \text{if } i \geq 2. \end{cases}  \end{equation}  In traditional kinetics, the rate coefficient of irreversible decay is assumed constant, in which case $k(t)\to\omega$.