Mixed-mode coupling in the red clump - I. Standard single star models

Open Access

Fig. A.4.

$\frac{d}{d s} (\frac{P}{s_{0} - s})$ $\frac{{\mathrm{d}}}{{\mathrm{d}} s}\left(\frac{P}{s_0 - s}\right)$ is shown in blue, and $\frac{d}{d s} (\frac{Q}{s + s_{0}})$ $\frac{{\mathrm{d}}}{{\mathrm{d}} s}\left(\frac{Q}{s + s_0}\right)$ is shown in orange. Large coloured dots are the calculated gradient after inserting the point using de l’Hôpital’s rule. The small black dots are the remeshed points, and the solid lines show the fitted cubic. The vertical grey dashed lines show ±s₀.

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