deletions | additions       diff --git a/CAR Generation.tex b/CAR Generation.tex  index a04c7f4..e1e2fd0 100644  --- a/CAR Generation.tex  +++ b/CAR Generation.tex 
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\begin{equation}  M(t) = e^{-t/\tau} M(0) + \bar{M}(1-e^{-t/\tau}) + \sigma\int_{0}^{t} e^{-(t-s)/\tau} dB(s),  \end{equation}  where $M$ is the magnitude of an image, $\tau$ is a characteristic timescale in days, $\bar{M}$ is the mean magnitude of the light curve in the absence of fluctuations, and $\sigma$ is the characteristic amplitude of the fluctuations in mag/day$^{1/2}$. Fluctuations are generated by the integral term where $dB(s)$ is a mean zero normally distributed number with width $dt$. By fitting the above model to the data, [REF] generated a distribution of $\tau$ and $\sigma$ for the MACHO quasars. quasars and we show typical examples of the CAR process with reasonable values in Figure \ref{fig:example_lcs}.