Arity - Other Names

Other Names

  • Nullary means 0-ary.
  • Unary means 1-ary.
  • Binary means 2-ary.
  • Ternary means 3-ary.
  • Quaternary means 4-ary.
  • Quinary means 5-ary.
  • Senary means 6-ary.
  • Septenary means 7-ary.
  • Octary means 8-ary.
  • Nonary means 9-ary.
  • Polyadic, multary and multiary mean 2 or more operands (or parameters).
  • n-ary means n operands (or parameters), but is often used as a synonym of "polyadic".

An alternative nomenclature is derived in a similar fashion from the corresponding Greek roots; for example, niladic (or medadic), monadic, dyadic, triadic, polyadic, and so on. Thence derive the alternative terms adicity and adinity for the Latin-derived arity.

These words are often used to describe anything related to that number (e.g., undenary chess is a chess variant with an 11×11 board, or the Millenary Petition of 1603).

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