deletions | additions       diff --git a/method8.tex b/method8.tex  index 02197f4..5d3b3c3 100644  --- a/method8.tex  +++ b/method8.tex 
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\begin{equation}\label{eq:tw_app}  \boldsymbol{\sigma^T q + \sigma^T P \sigma} - 1 = 0  \end{equation}  \begin{equation}\label{eq:tw_opt_max}  \boldsymbol{\sigma_{max}} \= max(\sigma_i) \hspace{0.2cm} \text{subject to} \hspace{0.2cm} \boldsymbol{\sigma^T q + \sigma^T P \sigma} - 1 \= 0  \end{equation}  \begin{equation}\label{eq:tw_opt_min}  \boldsymbol{\sigma_{min}} \= min(\sigma_i) \hspace{0.2cm} \text{subject to} \hspace{0.2cm} \boldsymbol{\sigma^T q + \sigma^T P \sigma} - 1 \= 0  \end{equation}