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-adic
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adic
English
Etymology
en monadic, etc., from en grc -άς (genitive grc -άδος) + grc -ικός (English en -ad + en -ic). Compare related en adicity and Latinate en -ary.
The algebraic sense is by analogy with en 1 p-adic, since equipped with the -adic topology passes to the ring of p-adic numbers under the operation of completion.
Pronunciation
en LL-Q1860 (eng)-Flame, not lame--adic.wav US
en LL-Q1860 (eng)-Flame, not lame--adic.wav US
Suffix
en suffix adjective-forming suffixes
en mathematics computing Having a specified adicity.
en algebra of a topology on a module over a ring combined with a symbol (here but also often , , or ) representing an ideal of Such that the sets (where , a non-negative integer) form a basis for the topology.
Usage notes
Combined with prefixes derived (usually) from Greek names for numbers to make adjectives meaning "having a certain number of arguments" (said of functions, relations, etc, in mathematics and functions, operators, etc, in computing).
Since there is a unique -adic topology for any given , one often speaks of the -adic topology on .
Synonyms
adicity en -ary
Derived terms
en
Related terms
en decadic duadic dyadic enneadic heptadic hexadic monadic n-adic niladic nonadic octadic p-adic pentadic polyadic tetradic triadic variadic
Translations
having a number of arguments
Finnish: fi -adinen
French: fr -adique
German: de -adisch
Hungarian: hu -adikus
Italian: it -adico
Polish: pl
Romanian: ro -adic
See also
Appendix:English arities and adicities
Anagrams
en acdi ACID Daic acid cadi caid