deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 835ad52..59a936e 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
\begin{eqnarray}  &&N(\omega)=(e^2/h)\sum_{k\beta,q\gamma, \nu\mu} \int \frac{d\epsilon}{2\pi}   [G_{\beta\nu}^r(\omega+\epsilon) V_{\nu q} g^{>}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^r(\omega) V^*_{\mu k} g^{<,h}_{k}(\omega) V_{\beta k}]\\  && \\ \nonumber  [G_{\beta\nu}^r(\omega+\epsilon) V_{\nu q} g^{>}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^<(\omega) V^*_{\mu k} g^{a,h}_{k}(\omega) V_{\beta k}]\\ k}]  && \\ \nonumber  [G_{\beta\nu}^>(\omega+\epsilon) V_{\nu q} g^{a}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^r(\omega) V^*_{\mu k} g^{<,h}_{k}(\omega) V_{\beta k}]\\ k}]  && \\ \nonumber  [G_{\beta\nu}^>(\omega+\epsilon) V_{\nu q} g^{a}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^<(\omega) V^*_{\mu k} g^{a,h}_{k}(\omega) V_{\beta k}]  \end{eqnarray}