p-adic ordinal
A function of rational numbers, with prime number p as parameter, which is defined for…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.
Meaning
1 sensesA 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
plural: p-adic ordinals| Singular | p-adic ordinal |
|---|---|
| Plural | p-adic ordinals |
regular
Word family
1 related wordsSee also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.