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A conditional luminosity function (CLF) computes the average number of galaxies with luminosity (L) within a range interval, given the mass of the surrounding halo, i.e., the number of galaxies with stellar luminosities within range L +/- dL/2 that reside in some halo of mass M. As such, it is a refinement of a luminosity function that includes the additional parameter of the halo mass. The CLF is used in cosmological simulations.