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.

“Notice the resemblance between the p-adic ordinal and the base-p logarithm.”

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Meanings

nounp-adic ordinal (plural p-adic ordinals)

plural p-adic ordinals

  1. mathematicsA 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.

Cite this entry
APA

p-adic ordinal. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/p-adic%20ordinal

MLA

“p-adic ordinal.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/p-adic%20ordinal. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “p-adic ordinal,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/p-adic%20ordinal.

Source: p-adic ordinal on Wiktionary, CC BY-SA 4.0.