# Entropy Calculator

entropy command returns the entropy of given value.

entropy 5


Result:

−8.047189562170502


$-x \log(x) \ (x>0) \\ 0 \ (x=0) \\ \infty \ (\text{otherwise})$

## Relative entropy

If the arguments has 2 numbers, the calculator returns the relative entropy.

entropy 5 7


Result:

−1.6823611831060645


entropy x y means that:

$x \log( \frac{x}{y} ) \ (x>0, \ y>0) \\ 0 \ (x=0, \ y>0) \\ \infty \ (\text{otherwise})$