Upper panel: Amplitude of the multiplicative bias, defined as m ≡ (m₁ + m₂)/2, as a function of the input r-band magnitude of galaxies. Lower panel: Multiplicative detection bias m_det as a function of the input magnitude, with galaxies placed on a grid (dashed) or randomly (solid) for both surveys, also defined as m_det ≡ (m_det, 1 + m_det, 2)/2. The magnitude ranges considered are [20.0, 25.2] for the grid case and [20.0, 27.5] for the random case. The histograms illustrate the detected number density of galaxies, with grid case shown in the upper panel and random case in the lower panel.