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What are functors?

What are functors? Here are some definitions.

Noun
  1. plural of functor
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Category theory takes the idea of mathematical analogy much further with the concept of functors.
One-sided compactness results for Aronszajn-Gagliardo functors.
To state the lemma, we need to make one more definition concerning functors.
Local errors, on the other hand, affect single elements in a sentence and include, for example, errors in morphology or morphological functors.
The manual pages describe the signatures, structures, and functors specified by the Library, and their semantics.
In a standard way, every poset can be considered as a category, and monotone mappings between posets can be considered as functors.

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