Word.ws English Dictionary

p-adic number

p-adic number noun: an element of a completion of the field of rational numbers with respect to a p-adic ultrametric.

Noun

p-adic number (plural p-adic numbers)

  1. An element of a completion of the field of rational numbers with respect to a p-adic ultrametric.
    • The expansion (21)2121ₚ is equal to the rational p-adic number #92;textstyle#123;2p#43;1#92;overp²-1#125;.
    • In the set of 3-adic numbers, the closed ball of radius 1/3 "centered" at 1, call it B, is the set x|∃n∈ℤ.,x=3n+1. This closed ball partitions into exactly three smaller closed balls of radius 1/9: x|∃n∈ℤ.,x=1+9n, x|∃n∈ℤ.,x=4+9n, and x|∃n∈ℤ.,x=7+9n. Then each of those balls partitions into exactly...

Forms of p-adic number

pluralp-adic numbers

Questions about p-adic number

What does p-adic number mean?
P-adic number means an element of a completion of the field of rational numbers with respect to a p-adic ultrametric.
What part of speech is p-adic number?
P-adic number is a noun.
What is the plural of p-adic number?
The plural of p-adic number is p-adic numbers.

Words near p-adic number in the dictionary

  1. p-adic
  2. p-adic absolute value
  3. p-adic absolute values
  4. p-adic norm
  5. p-adic norms
  6. p-adic number
  7. p-adic numbers
  8. p-adic order
  9. p-adic orders
  10. p-adic ordinal
  11. p-adic ordinals

Source and license

Adapted from Wiktionary: p-adic number (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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