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Fig. 6.

image

Limits for the values of parameter w as a function of z for the case log(MBH/M) = 8.15. The black dotted lines show the limits defined by condition (25); the vertical blue dashed line represents z = 2.00, which is our fit value of the slope for log(ρXobs) as a function of log(MBH/M) defined by Eq. (6). The curves w = w(z) are derived from condition (29) for different choices of the parameters {gex, gin} characterising the region in which eclipsing clouds are located; the various cases shown are identified by the following code: black refers to gex = 3.0, the solid line indicates gin = 0.1, the dashed line refers to gin = 0.3, dot-dashed line indicates gin = 0.8, and red refers to gex = 1.5; the gin values have same line-type code. The region of allowed values for w is between the two black dotted lines and on the right of the w(z) curve for each case.

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