p-adic

Q: Where does p-adic come from?

From p + -adic. The letter p follows common number theory usage in representing an arbitrary prime number; the suffix -adic signals that properties of the number p (generally, those due to its being prime, and specifically those of a specified p) are fundamental to the theory and determine the properties of the resulting construction.

Word Rarity Very rare

Frequency: Zipf frequency 2.00 in modern English

Syllables: p-adic
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Letters

Syllables

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Meaning

adj

Of, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.

Example Sentences

"The theory of p'''-adic analytic functions in domains other than simple disks is not very well known yet, although such kind of functions happens to intervene in questions linked to p'''-adic functional analysis, number theory, and others."
"1997, Fernando Q. Gouvêa, p-adic Numbers: An Introduction, Springer, 2nd Edition, page 60, Definition 3.3.3 The ring of p'''-adic integers is the valuation ring Z ₚ=x∈ Q ₚ:|x|ₚ<1."
"2. Preliminaries 3. A p'''-adic Cauchy problem 4. The p'''-adic Hilbert transform 5. The boundaries in the p'''-adic space L^q […]"

Etymology

From p + -adic. The letter p follows common number theory usage in representing an arbitrary prime number; the suffix -adic signals that properties of the number p (generally, those due to its being prime, and specifically those of a specified p) are fundamental to the theory and determine the properties of the resulting construction.

Word Breakdown

Suffix: p

Phrases

p-adic absolute value p-adic norm p-adic number p-adic order p-adic ordinal p-adic ultrametric ℓ-adic cohomology p-adic Riemann zeta function

Frequently Paired Words

ℓ-adic cohomology p-adic Riemann zeta function

Synonyms

ℓ-adic