### Gaussian Function

(function producing the bell curve)

A **Gaussian Function** is a function of this form:

(x-b)²
f(x) = ae - ————————
2c²

for constants a, b, c, and Euler's number e, 2.71828....

The function plots a **Bell Curve**,
and among its uses is that it is the
Probability Density Function of the **Normal Distribution** (i.e., **Gaussian Distribution**),
which, as per the **Central Limit Theorem**,
describes the probability distribution
of summing a specific number of
independent random variables.
For example, errors in measurement are commonly
assumed to include a purely random element
and analyzed using the normal distribution
and thus a gaussian function.

(*mathematics*)
http://en.wikipedia.org/wiki/Gaussian_function

**Referenced by:**

Full Width At Half Maximum (FWHM)

Line Shape Function

Non Gaussian (NG)

Photon Noise

index