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Fig. 20

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Admissible parameter values of a ℳ2 broken power-law model approximating Adelaide family absolute magnitude distribution in the range H ∈ (H1, H2) = (18.2, 20). There are three solved-for parameters in the model: (i) the break-point magnitude Hbreak, (ii) the power-law exponent γ1 for HHbreak, and (iii) the power-law exponent γ2 for HHbreak. Each of the panels shows a projection of the solution onto different 2D subspaces of the 3D space of parameters (Hbreak, γ1, γ2). The dashed line delimits 99% confidence limit zone of the solution, and the gray-scale is proportional to the probability density distribution of the solutions. The best-fit parameter combination is shown by red star symbol. The gray histograms are simply 1D probability density distributions for each of the parameters on the abscissa; the dashed histograms along the distributions of the γ1 and γ2 exponents correspond to the first and the last exponent in the ℳ3 broken power-low models with two break-points (Hbreak,1, Hbreak,2; i.e., the first in the interval (18.2, Hbrκak,1), and the second in the interval (Hbreak,2, 20)). The dotted line at γ1 or γ2 values of 0.6 is shown for reference.

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