arity

arity

English

Etymology

From -ary (taken from unary/binary/ternary [function/operator]) + -ity. Compare adicity and adinity.

Pronunciation

• IPA^(key): /ˈæɹɪti/, /ˈeəɹɪti/

• Audio (US)

  (file)

• Rhymes: -æɹɪti

Noun

arity (plural arities)

1. (logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
2. (mathematics, computer science) The maximum number of child nodes that any node in a given tree (data structure) may have.
3. (Lojban grammar) the number of arguments (in Lojban grammar called sumti) specified in the definition of a selbri. (the selbri combined with the sumti make up a bridi).

Synonyms

• (number of arguments) adinity, adicity, type, rank

Translations

number of arguments

Czech: arita (cs) f, četnost f Dutch: ariteit (nl) f, plaatsigheid (nl) f French: arité (fr) m German: Stelligkeit f Icelandic: stæðafjöldi m Ido: parametro (io) -op Irish: nárthacht f

Norwegian: Bokmål: aritet m Polish: argumentowość (pl) f Portuguese: aridade f Russian: а́рность (ru) f (árnostʹ), число́ опера́ндов (čisló operándov), число́ аргуме́нтов (čisló arguméntov) Serbo-Croatian: aritet m, mjesnost f Swedish: ställighet c, aritet (sv) c

See also

• Appendix:English arities and adicities

Anagrams

• -iatry, yatri