dual

IPA: dˈuʌɫ

noun

  • Of an item that is one of a pair, the other item in the pair.
  • (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
  • (grammar) The dual number.
  • (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.

verb

  • (transitive) To convert from single to dual; specifically, to convert a single-carriageway road to a dual carriageway.

adjective

  • Characterized by having two (usually equivalent) components.
  • Pertaining to two, pertaining to a pair of.
  • (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
  • (mathematics, physics) Exhibiting duality.
  • (linear algebra) Being the space of all linear functionals of (some other space).
  • (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
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