Noun
p-adic ultrametric (plural p-adic ultrametrics)
(number theory) The ultrametric with prime number p as parameter defined as
d
p
(
x
,
y
)
=
|
x
−
y
|
p
{\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.