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p-adic absolute values

p-adic absolute values is the plural of p-adic absolute value.

Meaning of p-adic absolute value

Noun

p-adic absolute value (plural p-adic absolute values)

  1. (field theory) 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.)
    • 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
    Synonyms:
    p-adic norm

Questions about p-adic absolute values

What is p-adic absolute values the plural of?
P-adic absolute values is the plural of p-adic absolute value.

Words near p-adic absolute values in the dictionary

  1. P-A
  2. P-A conduction time
  3. p-acetylaminophenol
  4. p-adic
  5. p-adic absolute value
  6. p-adic absolute values
  7. p-adic norm
  8. p-adic norms
  9. p-adic number
  10. p-adic numbers
  11. p-adic order

Source and license

Adapted from Wiktionary: p-adic absolute values (page history and authors); p-adic absolute value (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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