deletions | additions       diff --git a/scattering part4.tex b/scattering part4.tex  index 0f7928e..e6cc6a9 100644  --- a/scattering part4.tex  +++ b/scattering part4.tex 
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\begin{equation}  \label{eqn:limiting_dm_2}  \log_{10}{\rm DM_{\rm limit}}(\nu,t_{\rm res}) = \alpha(\beta + \sqrt{\delta + \gamma(\eta+\kappa\log_{10}{\nu}+\log_{10}{t_{\rm res}})}  \alpha = 0.4673  \beta = -0.154  \delta = 0.0247  \gamma = 4.28  \eta = 13.46  \kappa = 3.86  \end{equation}  \begin{multiline}  \alpha = 0.4673\\  \beta = -0.154\\  \delta = 0.0247\\  \gamma = 4.28\\  \eta = 13.46\\  \kappa = 3.86\\  \end{multline}  Here $t_{\rm res}$ has units of seconds and $\nu$ has units of GHz. Figure \ref{fig:crossover_dm} shows the limiting DM for 200-ns and 1.6-$\mu$s timing resolution for SKA1\_Mid and SKA1\_Low bands, respectively.     
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