\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.)