# Cauchy distribution

## English

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### Noun

Cauchy distribution (plural Cauchy distributions)

1. (statistics) A continuous probability distribution such that its probability density function is
\begin{align} f(x; x_0,\gamma) &= \frac{1}{\pi\gamma \left[1 + \left(\frac{x-x_0}{\gamma}\right)^2\right]} &= { 1 \over \pi } \left[ { \gamma \over (x - x_0)^2 + \gamma^2 } \right] \end{align}