deletions | additions       diff --git a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  index d1e89b0..651b005 100644  --- a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  +++ b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex 
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applying the definition of the complex derivatives yields  \begin{eqnarray}  D|x| &=& \frac{d|x|}{da} + j\frac{d|x|}{db} \nonumber\\  &\approx& \frac{d\sqrt{a^2+b^2 \frac{d}{da}(\sqrt{a^2+b^2  + \mu}}{da} \mu})  + j\frac{d\sqrt{a^2+b^2 + \mu}}{db} \nonumber \end{eqnarray}