![f(x| a, b) = \frac{1}{\pi b \left[1 + \left(\frac{x - a}{b}\right)^2\right]}
= { 1 \over \pi } \left[ { b \over (x - a)^2 + b^2 } \right],](../images/Cauchypdf_(function)/math-31fd24565f6a1b6db23063e7eca40ad8.png "f(x| a, b) = \frac{1}{\pi b \left[1 + \left(\frac{x - a}{b}\right)^2\right]}
= { 1 \over \pi } \left[ { b \over (x - a)^2 + b^2 } \right],")
The Cauchy distribution, also called the Lorentzian distribution or Lorentz distribution, is a continuous distribution describing resonance behavior.
Y = cauchypdf(X, a, b) returns the pdf of the cauchy distribution with location parameter a and scale parameter b, evaluated at the values in X.
/math-a73c373ed1072d9d49add37ee0b22203.png "b >0")
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