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Definition of P-adic norm
1. Noun. (number theory) A norm for the set of rational numbers, with prime number ''p'' as parameter, which is defined for some rational number ''x'' as: ''p'' to the power of the negative ''p''-adic ordinal of ''x''.'''2011''', Andrew Baker, [ An Introduction to ''p''-adic Numbers and ''p''-adic Analysis], Definition 2.5 ¹
¹ Source: wiktionary.com