deletions | additions       diff --git a/begin_align_min__s_in__.tex b/begin_align_min__s_in__.tex  index a202ea1..97ab49b 100644  --- a/begin_align_min__s_in__.tex  +++ b/begin_align_min__s_in__.tex 
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\begin{align*}  \min_{s\in \hat{s} &= \arg\min_{s\in  S} s_y \left(s_y  - (ms_x +b) \\  \text{s.t.} s_y \left(ms_x +b\right) \right) \tag{s.t. $s_y  \geq (ms_x +b) ms_x +b$}\\  &= \arg\max_{s\in S} \left(-b - \left(s_xm -s_y\right) \right) \tag{s.t. $-b \geq ms_x - s_y$}  \end{align*}