Gaussian function

Mathematical 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. The graph of a Gaussian is a characteristic symmetric "bell curve" shape.

From Wikipedia, under CC BY-SA. More on occurri.