deletions | additions       diff --git a/The_omega_hat_g_expression__.tex b/The_omega_hat_g_expression__.tex  index 1a8915f..7c13819 100644  --- a/The_omega_hat_g_expression__.tex  +++ b/The_omega_hat_g_expression__.tex 
...
The $\omega \hat{g}$ expression is linearized using the techniques described in section 1.  Let $\hat{g}_u = \sum_i a_i x_{iu} + a_0$ then we add the following equations $\forall u,i$  \begin{align}  0 &\leq \dot{\omega}^u_u \dot{\omega}^u_{iu}  \leq \omega^u_u \\ \omega^u_u &\leq \dot{\omega}^u_u \dot{\omega}^u_{iu}  + (1 - x_{iu})M \leq M \end{align}  Now this is what we have for profit formulation