diff --git a/source/rst/navy_captain.rst b/source/rst/navy_captain.rst index 58fdb59..6015a2b 100644 --- a/source/rst/navy_captain.rst +++ b/source/rst/navy_captain.rst @@ -618,25 +618,25 @@ in the first case, or :math:`f_{1}`, in the second case. 1. under :math:`f_{0}`, -.. math:: + .. math:: - V^{0}\left(\pi\right)=\begin{cases} - 0 & \text{if }\alpha\leq\pi,\\ - c+EV^{0}\left(\pi^{\prime}\right) & \text{if }\beta\leq\pi<\alpha,\\ - \bar L_{1} & \text{if }\pi<\beta. - \end{cases} + V^{0}\left(\pi\right)=\begin{cases} + 0 & \text{if }\alpha\leq\pi,\\ + c+EV^{0}\left(\pi^{\prime}\right) & \text{if }\beta\leq\pi<\alpha,\\ + \bar L_{1} & \text{if }\pi<\beta. + \end{cases} 2. under :math:`f_{1}` -.. math:: + .. math:: - V^{1}\left(\pi\right)=\begin{cases} - \bar L_{0} & \text{if }\alpha\leq\pi,\\ - c+EV^{1}\left(\pi^{\prime}\right) & \text{if }\beta\leq\pi<\alpha,\\ - 0 & \text{if }\pi<\beta. - \end{cases} + V^{1}\left(\pi\right)=\begin{cases} + \bar L_{0} & \text{if }\alpha\leq\pi,\\ + c+EV^{1}\left(\pi^{\prime}\right) & \text{if }\beta\leq\pi<\alpha,\\ + 0 & \text{if }\pi<\beta. + \end{cases} where :math:`\pi^{\prime}=\frac{\pi f_{0}\left(z^{\prime}\right)}{\pi f_{0}\left(z^{\prime}\right)+\left(1-\pi\right)f_{1}\left(z^{\prime}\right)}`.