deletions | additions       diff --git a/magnetoresistance.tex b/magnetoresistance.tex  index fad1dae..841a08d 100644  --- a/magnetoresistance.tex  +++ b/magnetoresistance.tex 
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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}  j_x &= \frac{\sigma_0}{1 &\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 -&\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\quad \textrm{, where}  \end{split}  \end{equation}  \begin{equation}