The 2.2 μm and bolometric luminosity functions and the effective temperature distribution predicted by our models with ﹩B( t) =\mathrm{constant}\,﹩ and ﹩\Psi ( M) \propto M^{-\alpha },\alpha =1,2﹩. The ﹩\alpha =1﹩ predictions are plotted as a solid line; the dotted histogram plots the expected distribution for ﹩\alpha =2﹩. The locations of GD 165B and Gl 229B are indicated as points of reference. All results are scaled to an 8 pc radius spherical volume element.