Hans-Walter Rix (MPIA) and I worked on our project to explain, elucidate, and determine the selection function (for ESA Gaia and other surveys) today. We decided that a good toy problem is the luminosity function of white dwarf stars. This is a good toy problem because the selection function is necessary, but they aren't so far away that the full three-dimensional dust map is required. I wrote words about this problem in a latex document to get us started.
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