onepower.hod.Cacciato.obs_func_sat

property Cacciato.obs_func_sat

The observable function (SMF/LF) for satellite galaxies. Defined as: \(\Phi_{\rm c}(O|M)\), \(\Phi_{\rm s}(O|M)\) integrated over the halo mass weighted with the Halo Mass Function (HMF) to give: \(\Phi_{\rm c}(O)\), \(\Phi_{\rm c}(O)\)

\(\Phi_{\rm x}(O) = \int \Phi_{\rm x}(O|M) n(M) {\rm d}M\),

dndlnm is basically n(M) x mass, it is the output of hmf The differential mass function in terms of natural log of m, len=len(m) [units (h^3 Mpc^{-3})]

obs_func unit is h^3 Mpc^{-3} dex^-1