## Gaussian Functions

are widely used in Science, Engineering and Data Analysis. The interactive Web-Application on this page visualizes the Gaussian Function and allows for

## interactive control

of the characteristic parameters.
One popular application is the usage in

## probability theory

and

## statistics

.

The Gaussian Function is here displayed as the

## Cumulative Distribution Function (CDF)

and its integral the

## Probability Density Function (PDF)

.

The color/3D-plot shows the

## two-dimensional (x,y) Gaussian Function

.

The control panel allows the variation of the following parameters:

## Expectation Value μ_{x,y}

,

## Variance σ_{x,y}

, and

## Rotation θ

.