a
The sources of the MI absolute magnitude, I-J, and
colours,
and spatial densities are obtained or derived by us from data in the literature
(Kirkpatrick et al. 1994; Dahn et al. 2002; Hawley et al. 2002; Cruz et al.
2003; Tinney et al. 2003; Vrba et al. 2004; Bochanski et al. 2007; Burgasser
2007; West et al. 2008).
See the text for further details.
b dI=25 is the heliocentric distance of a dwarf with an apparent magnitude
I = 25.0 mag, assuming an interstellar extinction proportional to the
heliocentric distance.
At the end of Sect. 2.4 there is a brief discussion on this
assumption.
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