A Cauchy continuous random variable.
As an instance of the rv_continuous class, cauchy object inherits from it a collection of generic methods (see below for the full list), and completes them with details specific for this particular distribution.
The probability density above is defined in the “standardized” form. To shift and/or scale the distribution use the loc and scale parameters. Specifically, cauchy.pdf(x, loc, scale) is identically equivalent to cauchy.pdf(y) / scale with y = (x - loc) / scale.