deletions | additions       diff --git a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  index dc0524c..47ff659 100644  --- a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  +++ b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex 
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giants that do not burn helium in their cores \citep{Stello_2013,Mosser_2014}.   It is striking how the stars form two distinct branches that gradually merge as the stars  evolve towards lower \numax. % This trend is also evident in Fig.1.   Most stars fall on the ``normal" ``normal''  upper branch of visibilities around 1.5 in agreement with previous results \citep{Mosser_2011}.   The agreement with the theoretically predicted location of the  suppressed branch (black curve) is remarkable. This curve assumes that all the wave energy leaking into the stellar core is trapped; the decrease of the suppression towards lower \numax\ is a consequence of the increasingly weaker coupling between acoustic waves in the envelope and gravity waves in the core as stars evolve (Fuller et al. 2015).