Phrase guide

p-adic absolute value

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

A norm for the rational numbers, with some prime number p as parameter, such that any rational number of the form pk(a/b) — where a, b and k are integers and a, b and p are coprime — is mapped to the rational number p−k and 0 is mapped to 0. (Note: any nonzero rational number can be reduced to such a form.)

Definition source: English Wiktionary via Wiktextract

Qualifier: field theory

Topics: mathematics, number-theory, sciences

Examples

  • According to Ostrowski's theorem, only three kinds of norms are possible for the set of real numbers: the trivial absolute value, the real absolute value, and the p'''-adic absolute value.WP

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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