Gaussian function

Gives a bell-shaped curve peaking at x = b with height a and width set by c. It is used to model peaks in data, blurring kernels, and the unnormalized shape of the normal distribution.

f(x) = a e^{-\frac{(x-b)^2}{2c^2}}

What the symbols mean

value of the function at x
independent variable
height of the peak
position of the peak center
width parameter (standard deviation-like scale)

About this formula

  • FieldMathematics
  • TopicSpecial functions
  • LevelUniversity
  • Also calledGaussian, Gaussian curve, bell curve function, normal curve shape, gaussian function formula, gaussian peak function
  • SourceWikidata Q1054475

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