deletions | additions       diff --git a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  index 4bc2ccd..14661ab 100644  --- a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  +++ b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex 
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evolve towards lower \numax, with % This trend is also evident in Fig.1.   most stars falling on the ``normal'' upper branch of $V^2\approx 1.5$, in  agreement with previous results \citep{Mosser_2011}.   The lower branch with suppressed dipole modes agrees remarkably well with theoretical predictions (black curve) (Fuller curve, Fuller  et al. 2015). This reduction assumes that all the wave energy leaking into the stellar core is trapped. The suppression occurs because wave energy leaking into the core is trapped due to a magnetic greenhouse effect caused by strong internal magnetic fields (Fuller et al. 2015).  %According to theoretical work (Fuller et al. 2015), this occurs in stars %with strong internal magnetic fields.   For this branch, 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).