| definition | $f: {\mathbb C}\times{\mathbb C}\times{\mathbb C}\setminus\{0\}\to{\mathbb C}$ |
| definition | $f(x, \mu, \sigma) = \dfrac{1}{\sigma\sqrt{2\pi} }{\mathrm e}^{ -\dfrac{(x-\mu)^2}{2\sigma^2}}$ |
People also like to write
${\mathcal N}(\mu, \sigma) := \lambda x.\,f(x,\mu, \sigma)$
Wikipedia: Normal_distribution