Information om | Engelska ordet ADJUNCTION

Exempel på hur man kan använda ADJUNCTION i en mening

• Conjunction introduction (often abbreviated simply as conjunction and also called and introduction or adjunction) is a valid rule of inference of propositional logic.
• In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories.
• His contributions in the subsequent 35 years of his career include transfer grammar, string analysis (adjunction grammar), elementary sentence-differences (and decomposition lattices), algebraic structures in language, operator grammar, sublanguage grammar, a theory of linguistic information, and a principled account of the nature and origin of language.
• The key property that one has to prove here is that the counit of an adjunction is an isomorphism if and only if the right adjoint is a full and faithful functor.
• In the category of abelian groups, pushouts can be thought of as "direct sum with gluing" in the same way we think of adjunction spaces as "disjoint union with gluing".
• An important tool of modern birational geometry is inversion of adjunction, which allows one to deduce results about the singularities of X from the singularities of D.
• Monadic, an adjunction if and only if it is equivalent to the adjunction given by the Eilenberg–Moore algebras of its associated monad, in category theory.
• The adjunction is thus akin to currying, taking maps on cartesian products to their curried form, and is an example of Eckmann–Hilton duality.
• The existence theorem for the twisted inverse image is the name given to the proof of the existence for what would be the counit for the comonad of the sought-for adjunction, namely a natural transformation.
• Q is interpretable in a fragment of Zermelo's axiomatic set theory, consisting of extensionality, existence of the empty set, and the axiom of adjunction.
• Similarly, a right adjoint to a comonoidal functor is monoidal, and the right adjoint of a comonoidal adjunction is a strong monoidal functor.
• Like all adjunctions, the tensor-hom adjunction can be described by its counit and unit natural transformations.
• Instead, disparities in grammaticality emerge in environments of topicalization and adverbial adjunction.
• 1933 – Belarusian Polytechnic Institute after adjunction of Horki Institute of Land Amelioration and Minsk Institutions of Peat, Chemical Engineering, Civil Engineering, Electrical Engineering and Food Industry.

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