https://latex.codecogs.com/eqneditor/editor.php

\\
s := spot
\\
\vec{d_s} := \text{direction of movement of s}
\\
\vec{d_s}=\vec{pos_s} - \vec{pos_{predecessor(s)}}
\\
n := \text{number of nearest neighbors of s to consider}
\\
\vec{d_{s,i}}:=\text{direction of movement of i}^{th}\text{ nearest neighbor of s}
\\
\vec{r_s}:=\text{relative movement of spot s}
\\
\vec{r_s}=\vec{d_s}-\frac{1}{n} \sum_{i=1}^{n}\vec{d_{s,i}}
\\
v_s := \text{relative movement distance of spot s}
\\
v_s = \left | \vec{r_s} \right |
