deletions | additions       diff --git a/$n^{th}$-order decay.tex b/$n^{th}$-order decay.tex  index 337ae37..877e0fd 100644  --- a/$n^{th}$-order decay.tex  +++ b/$n^{th}$-order decay.tex 
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\begin{equation}  k_n(t) \equiv (\frac{d\frac{1}{(S(t)^{n-1)}}}{dt})\equiv(n-1)\omega[A_0]^{n-1}  \end{equation}  The nonlinearity of the rate law leads to solutions that depend on concentration.  As shown in equation 4, the statistical length is the integral of the cumulative time dependent rate coefficient over a period of time $\Delta{t}$. The statistical length is \begin{equation}  \mathcal{L}_n(\Delta t)^2 = \left[\int_{t_i}^{t_f}(n-1)\omega([A_0]^{n-1})dt\right]^2   \end{equation}