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 (countable and uncountable, 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
• Danish: aritet c
• Dutch: ariteit (nl) f, plaatsigheid (nl) f
• Esperanto: loknombro, kapacito de operacio
• Finnish: paikkaluku, muuttujamäärä (mathematics, logic); argumenttien lukumäärä, argumenttimäärä (computer science)
• French: arité (fr) m
• German: Stelligkeit f
• Greek: βαθμός (el) (vathmós), τάξη (el) (táxi)
• 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
• Spanish: aridad f
• Swedish: ställighet c, aritet (sv) c

See also

• Appendix:English arities and adicities

Anagrams

• -iatry, yatri