Differential (lower panel) and cumulative (upper panel) RGB luminosity functions for Sculptor RGB and AGB stars, with rell < 0.183 deg. The break in the slope of the cumulative luminosity function (dashed lines) points to the location of RGB bump, whose average magnitude is marked in both panels by vertical dotted lines. The thick solid mark denotes a discontinuity in the slope of the cumulative luminosity function, that we ascribe to the appearance of the AGB clump (see text for details).
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