$$ \newcommand{\fss }{\color{gray}{f_\mathrm{ss}}} \newcommand{\fssp}{\color{gray}{f_\mathrm{ss}'}} \newcommand{\fssoi }{\color{gray}{f_\mathrm{ss}(\mu_o, \mu_i)}} \newcommand{\fms }{\color{purple}{f_\mathrm{ms}}} \newcommand{\E }{\color{olive}{E}} \newcommand{\Emo}{\color{olive}{E(\mu_o)}} \newcommand{\Emi}{\color{olive}{E(\mu_i)}} \newcommand{\Em }{\color{olive}{E(\mu)}} \newcommand{\Eavg}{\colo