The real gaussian density function with parameters $\mu \in \mathbb{R}$ and $\sigma \in (0, \infty)$ is the D4364: Real function \begin{equation} \mathbb{R} \to \mathbb{R}, \quad x \mapsto \frac{1}{\sqrt{2 \pi \sigma^2}} e^{- \frac{1}{2} \big( \frac{x - \mu}{\sigma} \big)^2} \end{equation}