deletions | additions       diff --git a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  index 7837e55..62daf38 100644  --- a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  +++ b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex 
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\frac{x_{\nk}}{\sqrt{x_{\nk}^*x_{\nk} + \mu}}   \right]. \nonumber\\  \end{eqnarray}  It Therefore, it  follows that \begin{eqnarray}  D\|\Psi m\|_{\ell_1} &=& Dh(m) = Dg(f(m)) \nonumber\\  &=& Dg(f(m)) Df(m). Df(m)  \nonumber\\ &\approx& \left[ \frac{x_1}{\sqrt{x_1^*x_1 + \mu}},   \dots,  \frac{x_{\nk}}{\sqrt{x_{\nk}^*x_{\nk} + \mu}}   \right] \Fu.\nonumber  \end{eqnarray}