this is for holding javascript data
Ghlen Livid added vec_x_t_Delta_t__3.tex
almost 8 years ago
Commit id: 1b43a7e09e1ecda31d8ff588b529e7eb792b9c1a
deletions | additions
diff --git a/vec_x_t_Delta_t__3.tex b/vec_x_t_Delta_t__3.tex
new file mode 100644
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+++ b/vec_x_t_Delta_t__3.tex
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$$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{x}(t) - \vec{x}(t-\Delta t) - \frac{1}{6} \vec{b}(t-\Delta t) \Delta t^3 + \frac{1}{4} \vec{b}(t-\Delta t) \Delta t^3 - \frac{1}{12} \vec{b}(t) \Delta t^3 + \vec{a}(t) \Delta t^2 + O(\Delta t^4) $$