===== Classical ensemble expectation value ===
==== Set ====
| @#55CCEE: context     | @#55CCEE: $ \langle \mathcal M, H,\pi,\pi_0,{\hat\rho},{\hat\rho}_0\rangle$ ... classical statistical ensemble |

| @#FFBB00: definiendum | @#FFBB00: $\langle \cdot \rangle: (\Gamma_{\mathcal M}\to \mathbb R)\to  \mathbb R$ |
| @#FFBB00: definiendum | @#FFBB00: $\langle F\rangle:=\int_{\Gamma_{\mathcal M}}\ F\cdot\rho\ \mathrm d\Gamma$ |

==== Discussion ====
In the definition we must use $\rho$, i.e. the noramlized ${\hat\rho}$.
==== Parents ====
=== Context ===
[[Classical probability density function]]