deletions | additions       diff --git a/First_step_in_Velocity_Verlet__.tex b/First_step_in_Velocity_Verlet__.tex  index 4d78cb5..758e444 100644  --- a/First_step_in_Velocity_Verlet__.tex  +++ b/First_step_in_Velocity_Verlet__.tex 
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$$ \frac{1}{\Delta t} (\vec{x}(2 \Delta t) - \vec{x}(\Delta t)) = \vec{\hat{v}}(\Delta t) + O(\Delta t) $$  Again, Euler's iteration has $O(\Delta t)$ t^2)$  error. $$ \vec{v}(0) + \frac{1}{2}\vec{a}(0)\Delta t = \vec{\hat{v}}(\Delta t) + O(\Delta t) $$