deletions | additions       diff --git a/Second Order Decay1.tex b/Second Order Decay1.tex  index 234f86f..8213b80 100644  --- a/Second Order Decay1.tex  +++ b/Second Order Decay1.tex 
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\frac{dS(t)^{-1}}{dt}=k(t)   \end{equation}    The time dependent rate coefficient for a second order reaction Which  is equal to  \begin{equation}  k(t)=\left(\frac{dS(t)^{-1}}{dt}\right)=\frac{d}{dt}\left[1+\omega t[A_0]\right]=\omega[A_0]  \end{equation} 
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\mathcal{L}(\Delta{t})=\int_{t_i}^{t_f}k(t)dt  \end{equation}  Which is equal to $\frac{1}{S(t)}\big|_{S_(t_f)}^{S_(t_i)}$, which measures the cumulative rate coefficient, same as in first order irreversible decay. As seen in first order, the statistical length is also dependent on the time interval, with the statistical length being infinite in an infinite time interval.   It has been shown that in In  first order kinetics irreversible decay,  the inequality between the statistical length squared and Fisher divergence determines when a rate coefficient is constant, which is only when the inequality turns into an equality.[cite] A similar inequality is found in second order kinetics. Putting in the time dependent rate coefficient for a second order irreversible decay, the inequality becomes  \begin{equation}  \omega^2[A_0]^2\Delta{t}^2-\left(\omega[A_0]\Delta{t}\right)^2\geq0