deletions | additions       diff --git a/Consistent_with_the_discussion_above__.tex b/Consistent_with_the_discussion_above__.tex  index 968efa7..7677ae8 100644  --- a/Consistent_with_the_discussion_above__.tex  +++ b/Consistent_with_the_discussion_above__.tex 
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Consistent with the discussion above, the figure indicates a bias to recover the deepest and widest profiles.  For the combined signal distortion effect, we take the product $\left( \dfrac{dp}{dP_{\rm obs}} \right) \times \left( \dfrac{dp}{d\Gamma_{\rm obs}} \right)$, which represents the probability density for a detected devil to be observed near the point $(P_{\rm obs}, \Gamma_{\rm obs})$.