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Definition of P-adic ordinal
1. Noun. (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. '''2011''', Andrew Baker, [ An Introduction to ''p''-adic Numbers and ''p''-adic Analysis], Definition 2.3 ¹
¹ Source: wiktionary.com