deletions | additions       diff --git a/Nonlinear irreversible kinetics.tex b/Nonlinear irreversible kinetics.tex  index 2cca496..c83c67d 100644  --- a/Nonlinear irreversible kinetics.tex  +++ b/Nonlinear irreversible kinetics.tex 
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In traditional kinetics, the rate coefficient irreversible decay is assumed constant, in which case $k(t)\to\omega$. We define $k(t)$ from the appropriate survival function and rate law  \begin{equation}  k_i(t) \equiv  \usepackage{amsmath,mathtools}  \begin{cases} \frac{-d\ln \displaystyle\frac{-d\ln  S_1(t)}{dt} & \text{if } i = 1 \\ \frac{d}{dt}\frac{1}{S(t)^{i-1}} \displaystyle\frac{d}{dt}\frac{1}{S(t)^{i-1}}  & \text{if } i \geq 2 \end{cases}  \end{equation}