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p-adic ordinal

p-adic ordinal noun: a function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity.

Noun

p-adic ordinal (plural p-adic ordinals)

  1. A function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity.
    • Notice the resemblance between the p-adic ordinal and the base-p logarithm.

Forms of p-adic ordinal

pluralp-adic ordinals

Questions about p-adic ordinal

What does p-adic ordinal mean?
P-adic ordinal means a function of rational numbers, with prime number p as parameter, which is defined for some non-zero integer x as the largest integer r such that pʳ divides x; is defined for some non-zero rational number a/b as the p-adic ordinal of a minus the p-adic ordinal of b; and is defined for 0 as infinity.
What part of speech is p-adic ordinal?
P-adic ordinal is a noun.
What is the plural of p-adic ordinal?
The plural of p-adic ordinal is p-adic ordinals.

Words near p-adic ordinal in the dictionary

  1. p-adic norms
  2. p-adic number
  3. p-adic numbers
  4. p-adic order
  5. p-adic orders
  6. p-adic ordinal
  7. p-adic ordinals
  8. p-adic ultrametric
  9. p-ANCA
  10. P-bar
  11. P-bars

Source and license

Adapted from Wiktionary: p-adic ordinal (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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