p-adic ultrametric

noun

The ultrametric with prime number p as parameter defined as d_p(x,y)=|x-y|ₚ; i.e., such that the distance between two rational numbers is equal to the p-adic absolute value of the difference between those two numbers.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounp-adic ultrametric (plural p-adic ultrametrics)

plural p-adic ultrametrics

  1. mathematicsThe ultrametric with prime number p as parameter defined as d_p(x,y)=|x-y|ₚ; i.e., such that the distance between two rational numbers is equal to the p-adic absolute value of the difference between those two numbers.

    On p-adic ultrametrics in the genome / In previous section we demonstrated that codons and amino acids are elements of some p-adic ultrametric spaces.

    2017 September 15, Branko Dragovich, Andrei Yu. Khrennikov, Nataša Ž. Mišić, “Ultrametrics in the genetic code and the genome”, in Applied Mathematics and Computation, volume 309, →DOI, pages 350–358
Cite this entry
APA

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

MLA

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

Chicago

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

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