this is for holding javascript data
Sven Schmit edited physical model.tex
over 9 years ago
Commit id: a898392899ed0cd2edda37649d3aa2eff0c92809
deletions | additions
diff --git a/physical model.tex b/physical model.tex
index 3edf9ac..a929893 100644
--- a/physical model.tex
+++ b/physical model.tex
...
F_{a,b}(d_z) = b\left(1-\sqrt{\frac{d_z}{a}}\right)_+
\]
and where the direction of the force is given by the angle of $z$ relative to the sheep.
Note that the force function is paramaterized by $a$ and $b$, which have a simple interpetation: $a$ is the maximum distance of the force, and $b$ is the magnitude of the force when the distance is $0$.\footnote{Most of the physical
simulation simulation, including an animation, is currently implemented, code can be found on \href{https://github.com/schmit/sheepherding}{github.com/schmit/sheepherding}.}