deletions | additions       diff --git a/magnetoresistance.tex b/magnetoresistance.tex  index a9c9141..dd58eb9 100644  --- a/magnetoresistance.tex  +++ b/magnetoresistance.tex 
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\end{split}  \end{equation}  Substituting the components of $\mathbf{B}$, $\mathbf{E}$ and $\mathbf{j} = n q \mathbf{p} / m^*$ into the equation of motion for the charge carrier in the presence of a magnetic field \eqref{eq:eom-B} gives:  \begin{equation}   \begin{split} \begin{eqnarray}  j_x &= &\frac{\sigma_0}{1 + (\omega_\textrm{c} \tau)^2} &E_x + \frac{\sigma_0 \omega_\textrm{c} \tau}{1 + (\omega_\textrm{c} \tau)^2} &E_y \\  j_y &= -&\frac{\sigma_0 \omega_\textrm{c} \tau}{1 + (\omega_\textrm{c} \tau)^2} &E_x + \frac{\sigma_0}{1 + (\omega_\textrm{c} \tau)^2} &E_y   \end{split}   \label{eq:current-B}  \end{equation} \end{eqnaray}  where  \begin{equation}  \sigma_0 = \frac{n q^2 \tau}P{m^*}