Gaussian function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})} and with parametric extension f ( x ) = a exp ( − ( x − b ) 2 2 c 2 ) {\displaystyle f(x)=a\exp \left(-{\frac {(x-b)^{2}}{2c^{2}}}\right)} for arbitrary real constants a, b and non-zero c. It is named after the mathematician Carl Friedrich Gauss.