Dictionary:Gaussian distribution

(gaus' ē ∂n) A normal or bell-shaped distribution. A set of values so distributed about a mean value m that the probability $\varepsilon (\Delta a)$ of a value lying within a small interval $\Delta a$ centered at the point a is

$\varepsilon (\Delta a)={\text{erf}}(\Delta a)={\frac {e^{-\left(a-m\right)^{2}}\Delta a}{\sigma {\sqrt {2\pi }}}}$,

where $\sigma$ is the standard error and $\varepsilon (\Delta a)$ is called the error function.