deletions | additions       diff --git a/Observations.tex b/Observations.tex  index fa5875c..c9fe6de 100644  --- a/Observations.tex  +++ b/Observations.tex 
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a more complete description of the operations of the FrontierSN  program, see \citet{Rodney:2015a}.  \subsection{X-ray Non-detections}\label{Xray} Non-detections}\label{sec:Xray}  The MACS0416 field was observed by the SWIFT X-Ray Telescope (XRT) and  UltraViolet/Optical Telescope (UVOT) in April 2013. No source was  diff --git a/Results.tex b/Results.tex  index 9529f51..528610e 100644  --- a/Results.tex  +++ b/Results.tex 
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this M31 record-holder demonstrates that very rapid recurrence is  possible, classifying \spock as a RN would still require a very  extreme mass transfer rate to accommodate the $<1$ year recurrence.  The non-detection of the \spock events in x-ray imaging from the  Chandra space telescope (Methods~\ref{sec:Xray}) is also problematic  for the RN scenario, as the optical emission of a nova is commonly  followed by a supersoft x-ray phase that can last months to years  \citep[e.g.]{Hachisu:2006}.  Another major concern with the RN hypothesis is that the  two \spock events are substantially brighter than all known novae -- 
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away from the other \spock position, which makes that second event  {\it more inconsistent} with observed nova peak luminosities.   As described in Section \ref{sec:MicroLensing}, modified lens models  may allow for two critical curves crossing the host arc close to the  \spock events. This would make the RN hypothesis more plausible as  the inferred lensing magnification would simultaneously increase for  both \spockone and \spocktwo, thereby bringing the intrinsic  luminosity of both events into line with the expectations for a  rapidly recurrent nova.  The combination of a rapid recurrence timescale and unusually high  peak luminosity for the \spock events is at odds with theoretical  expectations and empirical constraints for RNe (see Methods section 
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strictly ruled out, we can deduce that if the \spock transients are  caused by a single RN system, then that progenitor system would be the  most extreme white dwarf binary system yet known.  % As discussed above, modified lens models may allow for two critical  % curves crossing the host arc close to the \spock events  % (Methods~\ref{sec:Microlensing}). This would make the RN hypothesis  % more plausible as the inferred lensing magnification would  % simultaneously increase for both \spockone and \spocktwo, thereby  % bringing the intrinsic luminosity of both events into line with the  % expectations for a rapidly recurrent nova. This would, however,  % require substantial fine-tuning of the lens models in order to  % accommodate multiple critical curves that still map the spock events  % back to the same location on the source plane.  diff --git a/spock_localbuild.pdf b/spock_localbuild.pdf  index 8588c56..e867787 100644  Binary files a/spock_localbuild.pdf and b/spock_localbuild.pdf differ