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It has recently been shown that an inequality between the statistical length squared and the divergence can numerically represent how constant a rate coefficient is of a population irreversibly decaying over time in first order[insert citation]. But not every irreversible decay reaction is first order, showing that more theory is required to quantitatively measure flucuations of rate coefficients in higher order reactions. An irreversible decay reaction may follow second order kinetics, with two of the same or different molecules, which can also be treated as a first order reaction by using a pseudo-first order rate coefficient. The focus of this research is making the inequality between statistical length and divergence, which quantitatively measures the disorder of a rate coefficient, extend to higher order reactions.   The most important piece in extending current theory to higher order irreversible decay is determining the time dependent rate coefficient. coefficient, which is dependent on the order of reaction.  The statistical length and divergence are both functions of the time dependent rate coefficient. \begin{equation}  \mathcal{L}(\Delta{t})^2=\left[\int_{t_i}^{t_f}k(t)dt\right]^2  \end{equation}