information:extraction, linguistic:translation
Translation to vector notation

Using the components of covariant four-velocity yields d p 1 d τ = q γ = q γ (E x + v y B z − v z B y) = q γ. {\displaystyle {\frac {\mathrm {d} p^{1}}{\mathrm {d} \tau }}=q\gamma \left=q\gamma \left(E_{x}+v_{y}B_{z}-v_{z}B_{y}\right)=q\gamma \left\,.}