deletions | additions       diff --git a/To_draw_points_from_the__.tex b/To_draw_points_from_the__.tex  index a644b34..d669b37 100644  --- a/To_draw_points_from_the__.tex  +++ b/To_draw_points_from_the__.tex 
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To draw points from the Fermi-Dirac-like distribution in Eq.~\ref{eq:fermidirac} we would draw values uniformly between 0 and 1 and then for each value invert the cdf.  Unfortunately the cdf function cannot simply be inverted. However, the cdf can easily be computed over a fine grid of values and the corresponding $h_0$ value can be calculated via interpolation. It is definitely worth testing out this as a prior for the searches. I should also look into the Jacobian between this and a prior distribution as I might need that when thinking about using posterior samples of $h_0$ to work out the underlying distributions of $h_0$ (or $\varepsilon$/$Q_{22}$).