### 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

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