deletions | additions       diff --git a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  index 8477915..7837e55 100644  --- a/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex  +++ b/DeclareMathOperator_argmin_argmin_newcommand_reals__.tex 
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\dots,   \frac{\partial }{\partial x_{\nk}} \left(\sum_{i=1}^{\nk} |x_i|\right)   \right] \nonumber\\  &=& \left[ \frac{\partial |x_1|}{\partial \frac{d |x_1|}{d  x_1}, \dots, \frac{\partial |x_{\nk}|}{\partial \frac{d |x_{\nk}|}{d  x_{\nk}} \right] \nonumber\\ &\approx& \left[ \frac{x_1}{\sqrt{x_1^*x_1 + \mu}},   \dots,  \frac{x_{\nk}}{\sqrt{x_{\nk}^*x_{\nk} + \mu}}