English Explanatory Dictionary

p-adic absolute value

English dictionary entry

Meanings

noun
  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.)

Word forms

p-adic absolute value p-adic absolute values

Synonyms

p-adic norm

Related words

p-adic order p-adic valuation p-adic ultrametric
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