LaTeX
\begin{equation}
C_{P}^{Ga}(\textbf{u})=P(\Phi(X_{1})\leq u_{1},...,\Phi(X_{d})\leq u_{d})=\textbf{$\Phi$}_{P}(\Phi^{-1}(u_{1}),...,\Phi^{-1}(u_{d}))\\
\end{equation}
Where \(\Phi\) is a standard univariate normal distribution function, and \(\Phi_{P}\) stands for the joint distribution function of the vector of random variables \(\textbf{X}\sim N_{d}(\textbf{0},P)\).