arity

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English

Etymology

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

Pronunciation

  • IPA(key): /ˈæɹɪti/, /ˈeəɹɪti/
  • (file)
  • Rhymes: -æɹɪti

Noun

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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).

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