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Fig. 12

image

Illustration of the method of deprojection of rp, for 10 bins and an initial distribution Pr(r) = constant between 0 and r0. We show how the initial unprojected number density in each given bin (this initial density is chosen to be constant = 1) is distributed among the original bin and those at smaller distances (areas contained between the broken lines). The red dashed line is the expected distribution [arccos(rp)] in the limit of vanishing bin width (infinite number of bins). Conversely, one can recover the initial unprojected distribution from the projecteddistribution by inverting such a decomposition (see text). There is just a small bias on the first and last bins.

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