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What does dual mean?

Looking for the meaning or definition of the word dual? Here's what it means.

Adjective
  1. Exhibiting duality; characterized by having two (usually equivalent) components.
  2. Acting as a counterpart.
  3. Double.
  4. (grammar) Pertaining to grammatical number (as in singular and plural), referring to two of something, such as a pair of shoes, in the context of the singular, plural and in some languages, trial grammatical number. Modern Arabic displays a dual number, as did Homeric Greek.
  5. (linear algebra) Being the space of all linear functionals of (some other space).
  6. (category theory) Being the dual of (some other category); containing the same objects but with domain and codomain reversed for all functions.
Noun
  1. Of an item that is one of a pair, the other item in the pair.
  2. (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
  3. (grammar) dual number The grammatical number of a noun marking two of something (as in singular, dual, plural), sometimes referring to two of anything (a couple of, exactly two of), or a chirality-marked pair (as in left and right, as with gloves or shoes) or in some languages as a discourse marker, "between you and me". A few languages display trial number.
  4. (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.
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