this is for holding javascript data
\begin{equation}
\label{eq:tw_app}
\label{eq:tw_app}\boldsymbol{\sigma^{T}q+\sigma^{T}P\sigma}-1=0\\
\end{equation}
\begin{equation}
\label{eq:tw_opt_max}
\label{eq:tw_opt_max}\boldsymbol{\sigma_{max}}=max(\sigma_{i})\hskip 5.690551pt\text{subject to}\hskip 5.690551pt\boldsymbol{\sigma^{T}q+\sigma^{T}P\sigma}-1=0\\
\end{equation}
\begin{equation}
\label{eq:tw_opt_min}
\label{eq:tw_opt_min}\boldsymbol{\sigma_{min}}=min(\sigma_{i})\hskip 5.690551pt\text{subject to}\hskip 5.690551pt\boldsymbol{\sigma^{T}q+\sigma^{T}P\sigma}-1=0\\
\end{equation}
