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Table 4:

Numbers for the luminosity and mass functions.
Jmag range Mass rangea dMb dNc d $N_{\rm CF}^{d}$ d $N_{\rm NW}^{e}$ d $N_{\rm corr}^{f}$ d $N^{g}_{\rm bol_{\rm corr}}$ d $N/{\rm d}M$
12.00-12.50 0.4910-0.3440 0.1470 44.0 1.0 3.0 43.0 36 292.52
12.50-13.00 0.3440-0.2460 0.0980 55.0 11.0 5.0 44.0 35 448.98
13.00-13.50 0.2460-0.1690 0.0770 47.0 8.0 3.0 39.0 50 506.49
13.50-14.00 0.1690-0.1100 0.0590 37.0 5.0 3.0 32.0 38 542.37
14.00-14.50 0.1100-0.0670 0.0430 20.0 5.0 1.0 15.0 16 348.84
14.50-15.00 0.0670-0.0470 0.0200 23.0 1.0 2.0 22.0 23 1100.00
15.00-15.50 0.0470-0.0360 0.0110 27.0 3.0 6.0 24.0 28 2181.82
15.50-16.00 0.0360-0.0285 0.0075 8.0 2.0 1.0 6.0 1 800.00
16.00-16.50 0.0285-0.0233 0.0052 5.0 2.0 0.0 3.0 5 576.92
16.50-17.00 0.0233-0.0182 0.0051 6.0 0.0 0.0 6.0 8 1176.47
17.00-17.50 0.0182-0.0141 0.0041 8.0 2.0 0.0 6.0 3 1463.41
17.50-18.00 0.0141-0.0114 0.0027 2.0 1.0 0.0 1.0 1 370.37
18.00-18.50 0.0114-0.0092 0.0022 3.0 2.0 0.0 1.0 2 454.55
18.50-19.00 0.0092-0.0075 0.0017 7.0 4.0 0.0 3.0 3 588.24
a Mass range associated to the magnitude range given in the first column: we assumed an age of 3 Myr and a distance of 352 pc; b Difference between the masses, dM; c Numbers of candidate members identified in $\sigma $ Orionis; d Numbers of contaminants identified in the control field (CF) e Numbers of objects located beyond 10 arcmin towards the North-West of the cluster center, where the contamination by the old population is the highest; f Numbers of candidate members in $\sigma $ Orionis using method #1 and corrected for contamination; g Numbers of candidate members in $\sigma $ Orionis using method #2 after correction for contamination estimated from the control field; h Values for the mass function in linear scale (d $N/{\rm d}M$) using method #1.

Source LaTeX | All tables | In the text

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