Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.
A function word.
Definition source: English Wiktionary via Wiktextract
Topics: grammar, human-sciences, linguistics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
A function object.
Definition source: English Wiktionary via Wiktextract
Qualifier: object-oriented programming
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows (either covariantly or contravariantly), in such a way as to preserve morphism composition and identities.
Definition source: English Wiktionary via Wiktextract
Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
Examples
- In the category of categories #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.
- 1991, Natalie Wadhwa (translator), Yu. A. Brudnyǐ, N. Ya. Krugljak, Interpolation Functors and Interpolation Spaces, Volume I, Elsevier (North-Holland), page 143, Choosing for U the operation of closure, regularization or relative completion, we obtain from a given functor F∈JF the functors ◌̅F: overrightarrow X→◌̅F( overrightarrow X),F0: overrightarrow X→F( overrightarrow X)0,Fc: overrightarrow X→F( overrightarrow X)c.
- 2009, Benoit Fresse, Modules Over Operads and Functors, Springer, Lecture Notes in Mathematics: 1967, page 35, In this chapter, we recall the definition of the category of Σ_*-objects and we review the relationship between Σ_*-objects and functors. In short, a Σ_*-object (in English words, a symmetric sequence of objects, or simply a symmetric object) is the coefficient sequence of a generalized symmetric functor S(M):X→S(M,X), defined by a formula of the form S(M,X)=⨁ ᪲r=0(M(r)⊗X)_(Σr).
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: morphism
A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.
Definition source: English Wiktionary via Wiktextract
Qualifier: functional programming
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
From function, modeled after factor.
Across languages
Translations
23 source translations are retained for this English entry.
-
Finnish:
funktio-olio
— object-oriented programming: function object
-
French:
foncteur
— object-oriented programming: function object
-
Polish:
funktor
— object-oriented programming: function object
-
Bashkir:
функтор
(funktor)
— category theory: category mapping
-
Chinese Mandarin:
函子
(hánzǐ)
— category theory: category mapping
-
Finnish:
funktori
— category theory: category mapping
-
Finnish:
ylinuoli
— category theory: category mapping
-
French:
foncteur
— category theory: category mapping
-
German:
Funktor
— category theory: category mapping
-
Hungarian:
funktor
— category theory: category mapping
-
Icelandic:
varpi
— category theory: category mapping
-
Irish:
feidhmeoir
— category theory: category mapping
-
Italian:
funtore
— category theory: category mapping
-
Japanese:
関手
(kanshu)
— category theory: category mapping
-
Kazakh:
функтор
(funktor)
— category theory: category mapping
-
Kyrgyz:
функтор
(funktor)
— category theory: category mapping
-
Polish:
funktor
— category theory: category mapping
-
Portuguese:
functor
— category theory: category mapping
-
Portuguese:
funtor
— category theory: category mapping
-
Russian:
функтор
(funktor)
— category theory: category mapping
-
Spanish:
funtor
— category theory: category mapping
-
Spanish:
functor
— category theory: category mapping
-
Swedish:
funktor
— category theory: category mapping
