The euclidean real gaussian density function on $\mathbb{R}^{N \times 1}$ is the D4364: Real function \begin{equation} \mathbb{R}^{N \times 1} \to \mathbb{R}, \quad x \mapsto \frac{1}{(2 \pi)^{n / 2}} \exp \left( - \frac{1}{2} x^T x \right) \end{equation}