mat met ++

Author: qgeissmann

math_sup/M&M_bullet_points.docx

@@ -21,7 +21,7 @@ \section*{Behavioural state}
 	\item $V_{max}$ is the maximal velocity,
 	\item $T_V$ the validated threshold under which immobility is scored,
 	\item $d$ is the Euclidean distance,
-	\item $T_d$ is a threshold on the cumulative distance 24mm above which walking is scored
+	\item $T_d$ is a threshold of xxxmm on the cumulative distance above which walking is scored
 \end{itemize}
 
 
@@ -54,7 +54,7 @@ \section*{Relative position}
 position &=  \frac{X - Q_{0.01}(X)}{Q_{0.99}(X - Q_{0.01}(X))}
 \end{align}
 
-Where, $Q_n$  it the quantile function.
+Where, $Q_n$ is the quantile function.
 
 First and last percentiles were used instead of minimum and maximum to avoid the possible effect of spurious artefactual detections beyond physical limits of the tube.
 %Note that this method implies that the animals are in close proximity to each at least 1\% of observations, which
@@ -76,7 +76,7 @@ \section*{Hierarchical clustering}
 \item $T$ is the set of all tested time intervals: $T=\{[0, 0.25), [0.25,0.5), ..., [23.75, 24)\} h$,
 \item $BC_t$ is the Bhattacharyya coefficient at a time interval $t$,
 \item $p$ and $q$ are the observed distributions of behaviour for two different individuals, and
-\item $X$ is a the set of discrete behaviours: $X = {quiescent, micromovement, walking}$.
+\item $X$ is a the set of discrete behaviours: $X = {quiescent, micro\text{-}movement, walking}$.
 \end{itemize}
 
 \end{document}