deletions | additions       diff --git a/HostGalaxy.tex b/HostGalaxy.tex  index 37a52c7..ec14b73 100644  --- a/HostGalaxy.tex  +++ b/HostGalaxy.tex 
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\section{Host Galaxy}  \label{sec:HostGalaxy}  Before we can examine astrophysical models that might explain these  transients, we first must examine whether the two transients  originated from the same physical location in the source plane.  One way to test whether the two transient events \spockone and  \spocktwo are physically associated this  is to compare the properties of the \spock host galaxy at the location of each event. To that end, we used the techniques of ``pixel-by-pixel'' SED fitting as described in \citet{Hemmati:2014} to determine rest-frame colors and stellar  properties in a single resolution element centered at each transient  location. For this purpose we used the deepest possible stacks of HST  diff --git a/LightCurves.tex b/LightCurves.tex  index 24eccff..963cbc7 100644  --- a/LightCurves.tex  +++ b/LightCurves.tex 
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23 and 26.5 AB mag in F160W and exhibited a decline time of less than  seven days. These fits also illustrate the generic fact that a higher  peak brightness corresponds to a longer rise time and a faster decline  timescale, independent of the specific model used. These results are  not substantially affected by changes Changes  to the arbitrary constraints we placed on these linear fits, such as fits do not  substantially affect the results. For example, the relationship  between peak brightness and decline time is not strongly affected by  adjusting  the assumed  maximum post-peak magnitude or changing  the number of pre-peak data points used for the rising light curve fits. With %With  measurements of the key observational parameters of the \spock light %light  curves now in hand, we would like to compare these to the characteristics %characteristics  of known astrophysical transients. We must first, however, %however,  introduce a correction for the lensing magnification, and evaluate %evaluate  whether or how these sources might be spatially or temporally related %related  in the source plane.