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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Examples of "dual" in Sentences
- The cube is dual to the octahedron.
- It is the dual of the dodecadodecahedron.
- The Palace of the Gods and Dual Formations.
- The opposite ring is then the categorical dual.
- It is the dual of the elongated triangular tiling.
- Its dual polyhedron is the rhombicosidodecahedron.
- The octahedron is the dual polyhedron to the cube.
- The augmented algebra is the algebra of dual numbers.
- It follows that the dual of the dual lattice is the original lattice.
- It is the dual of the facet which corresponds to V in the dual polytope.