Galaxy absolute magnitude in the r-filter as a function of comoving distance (lower axis) and redshift (upper axis). For visual clarity, only a small fraction of all galaxies is plotted: galaxies are randomly chosen to have approximately uniform number density with distance. The dashed black line shows the upper distance limit for a given absolute magnitude using the average k-correction. The solid blue lines show the subsamples for various volume-limited samples. The inset panel shows the luminosity weight factor as a function of distance. This weight takes into account the luminosity that is missed because of the flux-limited survey.
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