fix_mvv_dpd.tex
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	\documentclass[12pt]{article}

	\begin{document}

	$$
	v(t+\frac{\Delta t}{2}) = v(t) + \frac{\Delta t}{2}\cdot a(t),
	$$

	$$
	r(t+\Delta t) = r(t) + \Delta t\cdot v(t+\frac{\Delta t}{2}),
	$$

	$$
	a(t+\Delta t) = \frac{1}{m}\cdot F\left[ r(t+\Delta t), v(t) +\lambda \cdot \Delta t\cdot a(t)\right],
	$$

	$$
	v(t+\Delta t) = v(t+\frac{\Delta t}{2}) + \frac{\Delta t}{2}\cdot a(t+\Delta t)
	$$

	\end{document}