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Jonathan Nichols edited Intro1.tex
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The most important piece in extending current theory to higher order irreversible decay is determining the time dependent rate coefficient. The statistical length and divergence are both functions of the time dependent rate coefficient.
\mathcal{L}(\Delta{t})=\int_{t_i}^{t_f}k(t)dt
This inequality is derived from the first order rate law and survival function. In traditional kinetics, irreversible decay is only dependent on one rate coefficient, $\omega$, and the mechanism of the reaction. The rate law of a first order reaction of A irreversibly decaying into B is
\begin{equation}
\frac{-dA}{dt}=\omega[A]