deletions | additions       diff --git a/geometry optimization.tex b/geometry optimization.tex  index 507e8d9..5ac9952 100644  --- a/geometry optimization.tex  +++ b/geometry optimization.tex 
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\dot{\vec{v}}{(t)} = \dfrac{\vec{F}{(t)}}{m} - \dfrac{\alpha}{\Delta t}|\vec{v}(t)|\left[\hat{v}(t)-\hat{F}(t)\right]\ ,  \end{equation}  %  where the second term is an introduced acceleration in a direcction direction  "steeper" than the usual direction of motion. Oviously, if $\alpha = 0$ then $\vec{V}(t) = \vec{v}(t)$, meaning the velocity modification vanish, and the acceleration $\dot{\vec{v}}{(t)} = \vec{F}{(t)}/m$, as usual.