p-adic

Meaning

p-adic (not comparable)

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

Source: en.wiktionary.org

Examples

An important point is that the p-adic field, or respectively the real or complex field, corresponding to a prime ideal, plays exactly the role, in arithmetic, that the field of power series in the neighborhood of a point plays in the theory of functions: that is why one calls it a local field. André Weil

Although for p-adic numbers p should be a prime, base 10 was chosen to highlight the analogy with decimals. Source: Internet

Extensions of the concept p-adic numbers main The p-adic numbers may have infinitely long expansions to the left of the decimal point, in the same way that real numbers may have infinitely long expansions to the right. Source: Internet

For a prime p, the p-adic numbers arise by completing the rational numbers with respect to a different metric. Source: Internet

Introduction This section is an informal introduction to p-adic numbers, using examples from the ring of 10-adic (decadic) numbers. Source: Internet

These alternatives do not conflict with the notation for the p-adic integers. Source: Internet

Words in the phrase

p adic

Close letter words and terms

p-57 P-A conduction time p-acetylaminophenol p-adic absolute value p-adic integer p-adic norm