# p-adic ultrametric

## EnglishEdit

### NounEdit

p-adic ultrametric (plural p-adic ultrametrics)

1. (mathematics) The ultrametric with prime number p as parameter defined as ${\displaystyle d_{p}(x,y)=|x-y|_{p}}$ ; i.e., such that the distance between two rational numbers is equal to the p-adic absolute value of the difference between those two numbers.[1]