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Translations for „functor“ in the English » Arabic Dictionary (Go to Arabic » English)

functor <functor; functors> N ECON

functor
functor

Monolingual examples (not verified by PONS Editors)

English
A functor with a superscript "n", "n" a natural number 1, denotes "n" consecutive applications (iterations) of that functor.
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For example, the forgetful functor from the category of join-semilattices (and their homomorphisms) to the category of sets (and functions) admits a left adjoint.
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For these objects, a commonly considered forgetful functor is as follows.
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Under the forgetful functor, this morphism yields the identity.
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The functor taking each manifold to its tangent bundle is an example of a section of this bundle object.
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The pullback of bundles then corresponds to the inverse image of sheaves, which is a contravariant functor.
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An example of a filter rule from the true-analogy rule set creates match hypotheses between predicates that have the same functor.
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In other cases, specialist terms have been created which do not exist outside of mathematicsexamples are tensor, fractal, functor.
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The direct image functor is the primary operation on sheaves, with the simplest definition.
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A groupoid morphism is simply a functor between two (category-theoretic) groupoids.
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