deletions | additions       diff --git a/scattering 2.tex b/scattering 2.tex  index 706e6a7..46fd513 100644  --- a/scattering 2.tex  +++ b/scattering 2.tex 
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Therefore, we can conclude the following: the resistivity, inversely proportional to the conductivity, has the following behaviour:  \begin{equation}  \begin{split}  \rho &= \rho_\mathrm{impurity} + A_\textrm{qp--qp} A_\textrm{qp-qp}  &T^2 \quad T \ll T_F \\ \rho &= \rho_\mathrm{impurity} + B_\textrm{qp--ph} B_\textrm{qp-ph}  &T \quad T \gg T_F \\ \end{split}  \end{equation}