\subsection{Error Propagation}
\label{sec:error-propagation}
For functions $\vec{f}(\vec{x}) = \mat{A}\vec{x}$, the \bi{linear error propagation}
is given by $\Sigma^f = A \Sigma^x A^\top$, with $\Sigma^x$ the uncertanty of $\vec{x}$ (covariance mat.), typically $\texttt{diag}(\sigma^2)$,
with $\sigma^2$ the variance of all variables involved