deletions | additions       diff --git a/vec_x_t_Delta_t__1.tex b/vec_x_t_Delta_t__1.tex  index 3bb9a46..613bbe5 100644  --- a/vec_x_t_Delta_t__1.tex  +++ b/vec_x_t_Delta_t__1.tex 
...
Now looking at (1) again, we can see:  $$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{v}(t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2$$  $$\vec{x}(t + \Delta t) - \vec{x}(t) = \vec{v}(t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2$$ Which means that basic Verlet and Velocity Verlet are indeed equivalent.