deletions | additions       diff --git a/run-by-run.tex b/run-by-run.tex  index 46a62c6..50aa5ff 100644  --- a/run-by-run.tex  +++ b/run-by-run.tex 
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\begin{equation}  \mathcal{R}_A^X = \log_{10}\left(\frac{A^X}{A^\mathrm{NS}}\right),  \end{equation}  where $A^X$ is a credible region or the searched area as determined by method $X$ and $A^\mathrm{NS}$ is the same quantity from the non-spinning analysis. The log ratio $\mathcal{R}_A^X$ is zero when analysis $X$ agrees with the non-spinning results. Considering all $250$ events, the mean and standard deviation of the log ratio is given in Table~\ref{tab:sky-ratio}. There is no significant difference between analyses. The computationally expensive fully spinning analysis does not improve sky localization: there is no disadvantage in using the lower latency results for EM follow-up of slowly spinning NSs. BNSs.