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In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the form: f(x)=ae⁻⁽⁽ˣ⁻ᵇ⁾²⁾/²ᶜ² 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. The parameter a is the height of the curve's peak, b is the position of the center of the peak and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell".