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Fig. 3.

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Distribution of S 21 3 / 2 d n / d log S 21 $ S_{21}^{3/2}dn/d\log S_{21} $ as a function of the flux density, S21, where dn is the surface number density of galaxies in a given log S21 bin. This relation is used to determine the completeness of H I targets for all three surveys in different W50 bins, following the practice of Haynes et al. (2011). For fair comparisons, the measurements in both ALFALFA and FASHI are limited to the redshift range of 0 < z < 0.05. However, HIPASS only has samples in 0 < z < 0.042. The orange, blue, green, and red circles are shown for the HIPASS, ALFALFA, FASHI south, and FASHI north galaxies, respectively. The solid lines in each panel are the best-fit error function. The vertical red dotted lines indicate the 50% completeness limit of FASHI north in each W50 bin.

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