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adjunction
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Definitions of adjunction in various dictionaries:
noun - an act of joining or adj oining things
ADJUNCTION - In mathematics, the term adj oint applies in several situations. Several of these share a similar formalism: if A is adj oint to B, then there is typic...
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| Possible Dictionary Clues |
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| an act of joining or adjoining things |
| The act of joining the thing joined or added. |
| A form of similarity between a pair of categories mapped to each other by dual morphisms. |
| The joining of two sets which without overlapping jointly constitute a larger set, or the relation between two such sets. |
| The asserting in a single formula of two previously asserted formulae. |
| Adjunction description |
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In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type* (Ax, y) = (x, By).Specifically, adjoint or adjunction may mean: * * Adjoint of a linear map, also called its transpose * Hermitian adjoint (adjoint of a linear operator) in functional analysis * Adjoint endomorphism of a Lie algebra * Adjoint representation of a Lie group * Adjoint functors in category theory * Adjunction (category theory) * Adjunction (field theory) * Adjunction formula (algebraic geometry) * Adjunction space in topology * Conjugate transpose of a matrix in linear algebra * Adjugate matrix, related to its inverse * Adjoint equation * The upper and lower adjoints of a Galois connection in order theory * For the adjoint of a differential operator with general polynomial coefficients see differential operator * Kleisli adjunction * Monoidal adjunction * Quillen adjunction * Axiom of adjunction in set theory |