deletions | additions       diff --git a/Let_s_show_that_basic__.tex b/Let_s_show_that_basic__.tex  index 70559b1..bfdc637 100644  --- a/Let_s_show_that_basic__.tex  +++ b/Let_s_show_that_basic__.tex 
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Let's show that basic Verlet follows from Velocity Verlet: Verlet. Subsituting $\vec{v}(t)$ from (2) into (1):  $$\vec{v}(t) = \vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t$$