# Understanding multivariate normal distribution notation with multiple parameters?

#### kirk86

I was wondering if anyone could shed some light on interpreting multivariate Gaussian notation with more than 2 parameters as arguments. For instance in some papers I see the following notation $\mathcal{N}(\mathbf{y}; \hat{\mathbf{y}}(\mathbf{x}, \mathbf{\omega}), \tau^{-1}\mathbf{I}_{D})$ which I interpret as the Gaussian of variable $\mathbf{y}$ parameterised with mean = $\hat{\mathbf{y}}(\mathbf{x}, \mathbf{\omega})$ and variance = $\tau^{-1}\mathbf{I}_{D}$.

But I've also seen the following notation as well $\mathcal{N}(\mathbf{A}, \mathbf{\Lambda}, \mathbf{U})$ in some other papers which I don't know how to read or interpret it.