deletions | additions       diff --git a/If_we_assume_2_vec__.tex b/If_we_assume_2_vec__.tex  index 2130ade..ba65cfe 100644  --- a/If_we_assume_2_vec__.tex  +++ b/If_we_assume_2_vec__.tex 
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$$\vec x(t+\Delta t)=2\vec x(t)-\vec x(t-\Delta t)+\vec a(t)\,\Delta t^2$$  $$\vec x(t+\Delta t)=\vec x(t) + (\vec x(t)-\vec x(t-\Delta t)+\frac{1}{2} \vec a(t) \Delta t^2) + \frac{1}{2} \vec a(t) \Delta t^2$$which is \textit{exactly} Velocity Verlet for $\vec{x}$.