\newcommand{\evec}[2]{\vec{#1}^{~#2}} \newcommand{\lsl}{\ll} \newcommand{\lsr}{\gg_\text{l}} \newcommand{\asr}{\gg_\text{a}} \newcommand{\clsl}{\ll_0} \newcommand{\clsr}{\gg_{0, \text{l}}} \newcommand{\casr}{\gg_{0, \text{a}}} \newcommand{\xor}{\oplus} %\newcommand{\path}[1]{\texttt{#1}} \newcommand{\sigconst}[1]{\mathcal{SC}_{#1}} \newcommand{\sigop}{\mathfrak{h}} \newcommand{\sig}{\operatorname{sig}}