deletions | additions       diff --git a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  index e322b02..89cddef 100644  --- a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  +++ b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex 
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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).   With this large stellar sample we can separate the stars into five different mass intervals represented in Fig.2 from 0.9 to 2.1 times the mass of the Sun, which clearly shows that the relative  population on the lower branch (stars with suppressedpower in the  dipole modes) is strongly mass dependent.