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Table 3.

Best-fitting β values and power-law slope s for cumulative subhalo mass functions.

M 200 [ h 1 M ] $ \langle M_{200} \rangle\, \left[{h}^{-1}\, \mathrm{M_\odot}\right] $ Cosmic mean Filaments Walls Voids Equally weighted Power-law slope, s
1012 129 ± 4 100 ± 9 124 ± 8 94 ± 2 0.93 ± 0.02
1011 89 ± 6 79 ± 5 95 ± 4 89 ± 2 97 ± 3 0.92 ± 0.02
1010 67 ± 2 48 ± 1 54 ± 2 60 ± 2 57 ± 1 0.91 ± 0.01

Notes. The best-fitting β values are obtained from fits of Eq. (4) to the cSHMF, shown as a function of the host halo mass, in the cosmic mean, filament, wall, void, and the equally weighted samples. The final column shows the best-fitting power-law slope, s, which is independent of the host halo environment.

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