Definition of functor in English:

functor

noun ˈfʌŋktəˈfəŋ(k)tər

1Mathematics Logic
A function; an operator.
〔逻，数〕函子；算子，算符
Example sentencesExamples
- One of the reactions that I've seen to the use of the typical set of functors was that the method of combining functors into complex expressions wasn't terribly straightforward.
- This paper describes a family of logics whose categorical semantics is based on functors with structure rather than on categories with structure.
- That is, if we have two categories, one of which has more structure than the other, then we obtain a functor from the first category to the second simply by ‘forgetting’ the extra structure.
- Furthermore, we prove some theorems about the inversion of functor structures.
- This is part of a very broad-reaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology.
- Suffice it to say that adjoint functors pervade mathematics and this pervasiveness is certainly one of the most mysterious fact that category theory reveals about mathematics and probably thinking in general.
2Linguistics
another term for function word

Origin

1930s: from function, on the pattern of words such as factor.

Definition of functor in US English:

functor

nounˈfəNG(k)tərˈfəŋ(k)tər

Logic Mathematics

1A function; an operator.
〔逻，数〕函子；算子，算符
Example sentencesExamples
- That is, if we have two categories, one of which has more structure than the other, then we obtain a functor from the first category to the second simply by ‘forgetting’ the extra structure.
- This is part of a very broad-reaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology.
- Furthermore, we prove some theorems about the inversion of functor structures.
- One of the reactions that I've seen to the use of the typical set of functors was that the method of combining functors into complex expressions wasn't terribly straightforward.
- This paper describes a family of logics whose categorical semantics is based on functors with structure rather than on categories with structure.
- Suffice it to say that adjoint functors pervade mathematics and this pervasiveness is certainly one of the most mysterious fact that category theory reveals about mathematics and probably thinking in general.
1. 1.1Linguistics
  another term for function word

Origin

1930s: from function, on the pattern of words such as factor.

词汇	functor
释义	Definition of functor in English: functor noun ˈfʌŋktəˈfəŋ(k)tər 1Mathematics Logic A function; an operator. 〔逻，数〕函子；算子，算符 Example sentencesExamples One of the reactions that I've seen to the use of the typical set of functors was that the method of combining functors into complex expressions wasn't terribly straightforward. This paper describes a family of logics whose categorical semantics is based on functors with structure rather than on categories with structure. That is, if we have two categories, one of which has more structure than the other, then we obtain a functor from the first category to the second simply by ‘forgetting’ the extra structure. Furthermore, we prove some theorems about the inversion of functor structures. This is part of a very broad-reaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology. Suffice it to say that adjoint functors pervade mathematics and this pervasiveness is certainly one of the most mysterious fact that category theory reveals about mathematics and probably thinking in general. 2Linguistics another term for function word Origin 1930s: from function, on the pattern of words such as factor. Definition of functor in US English: functor nounˈfəNG(k)tərˈfəŋ(k)tər Logic Mathematics 1A function; an operator. 〔逻，数〕函子；算子，算符 Example sentencesExamples That is, if we have two categories, one of which has more structure than the other, then we obtain a functor from the first category to the second simply by ‘forgetting’ the extra structure. This is part of a very broad-reaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology. Furthermore, we prove some theorems about the inversion of functor structures. One of the reactions that I've seen to the use of the typical set of functors was that the method of combining functors into complex expressions wasn't terribly straightforward. This paper describes a family of logics whose categorical semantics is based on functors with structure rather than on categories with structure. Suffice it to say that adjoint functors pervade mathematics and this pervasiveness is certainly one of the most mysterious fact that category theory reveals about mathematics and probably thinking in general. 1.1Linguistics another term for function word Origin 1930s: from function, on the pattern of words such as factor.
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