deletions | additions       diff --git a/The_integer_QHE_has_a__.tex b/The_integer_QHE_has_a__.tex  index 71c9f9c..24c003a 100644  --- a/The_integer_QHE_has_a__.tex  +++ b/The_integer_QHE_has_a__.tex 
...
\textit{I}_x\sim\partial_x\textit{E_k}-b_z(k)\dot{k_y}  \end{equation}  \begin{equation}  b_z(k)=i(\langle\partial_x{u_k}|\partial_y{u_k}\rangle) b_z(k)=i(\langle\partial_x{u_k}|\partial_y{u_k}\rangle-\langle\partial_y{u_k}|\partial_x{u_k}\rangle)  \end{equation}