# p-adic-ordinal

Noun

(*plural* p-adic ordinals)

- (number theory) A function of rational numbers, with prime number
*p*as parameter, which is defined for some non-zero integer*x*as the largest integer*r*such that*p*^{r}divides*x*; is defined for some non-zero rational number*a/b*as the*p*-adic ordinal of*a*minus the*p*-adic ordinal of*b*; and is defined for 0 as infinity.^{ }- Notice the resemblance between the
*p*-adic ordinal and the base-*p*logarithm.

- Notice the resemblance between the

Usage notes

- The
*p*-adic ordinal of rational number*x*can be denoted as .