**Table 6:** Parameters derived from the MFs of M 52.
	Evolved		Observed MS			$\rm Evolved\ +\ Observed\ MS\ stars$
Region	N^*	m	$\chi$	N^*	$m_{\rm obs}$	N^*	m	$\sigma$	$\rho$	$\tau$
	(stars)	( $M_\odot$ )		(10² stars)	( $10^2\mbox{$M_\odot$ }$ )	(10² stars)	( $10^2~\mbox{$M_\odot$ }$ )	( $\rm\mbox{$M_\odot$ }~pc^{-2}$ )	( $\rm\mbox{$M_\odot$ }~pc^{-3}$ )
(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)	(10)	(11)
	Before differential-reddening correction
Core	-	-	$0.73\pm0.11$	$0.9\pm0.1$	$2.2\pm0.4$	$0.9\pm0.1$	$2.2\pm0.4$	$109\pm17$	$102\pm16$	$97\pm26$
Halo	$3\pm1$	$18\pm6$	$1.69\pm0.11$	$4.7\pm0.6$	$9.7\pm1.2$	$4.7\pm0.6$	$9.8\pm1.3$	$4.9\pm0.6$	$0.46\pm0.06$	-
Overall	$3\pm1$	$18\pm6$	$1.53\pm0.09$	$5.3\pm0.6$	$11.3\pm1.3$	$5.4\pm0.7$	$11.5\pm1.3$	$5.7\pm0.6$	$0.5\pm0.1$	$2.2\pm0.5$
	After differential-reddening correction
Core	-	-	$0.89\pm0.12$	$1.0\pm0.2$	$2.4\pm0.4$	$1.0\pm0.1$	$2.3\pm0.4$	$91\pm15$	$75\pm12$	$78\pm20$
Halo	$3\pm1$	$18\pm6$	$1.65\pm0.12$	$4.6\pm0.6$	$10.0\pm1.4$	$4.7\pm0.6$	$10.1\pm1.4$	$5.1\pm0.7$	$0.47\pm0.07$	-
Overall	$3\pm1$	$18\pm6$	$1.48\pm0.09$	$5.5\pm0.5$	$11.9\pm1.3$	$5.4\pm0.6$	$12.1\pm1.4$	$6.0\pm0.7$	$0.6\pm0.1$	$2.2\pm0.6$
						$\rm Evolved\ +\ Observed\ +\ Extrapolated\ MS\ stars$
Core	-	-	$0.89\pm0.12$	$1.0\pm0.2$	$2.4\pm0.4$	$8.3\pm5.4$	$4.8\pm1.1$	$184\pm41$	$152\pm34$	$13\pm8$
Halo	$3\pm1$	$18\pm6$	$1.65\pm0.12$	$4.6\pm0.6$	$10.0\pm1.4$	$82\pm60$	$34\pm11$	$17\pm6$	$1.6\pm0.5$	-
Overall	$3\pm1$	$18\pm6$	$1.48\pm0.09$	$5.5\pm0.5$	$11.9\pm1.3$	$88\pm64$	$38\pm12$	$19\pm6$	$1.8\pm0.6$	$0.2\pm0.1$

Notes. MS mass range: 1.3-6.1 $M_\odot$ . Column 4: MF slope. Column 11: dynamical-evolution parameter $\tau={\rm age}/t_{\rm rel}$ .