deletions | additions       diff --git a/Thanks_for_catching_this_The__.tex b/Thanks_for_catching_this_The__.tex  index 8f23863..a3b0793 100644  --- a/Thanks_for_catching_this_The__.tex  +++ b/Thanks_for_catching_this_The__.tex 
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Thanks for catching this! The formulas are now:  \begin{equation}\label{mle}  L_1 = \prod\limits_j\frac{1}{\sqrt{2\pi a_j^2 V_j}}exp\Big(\frac{-(\beta_{1j}- \mu)^2}{2 a_j^2 V_j}\Big) \end{equation} and