functor background

functor

/ˈfʌŋktə/

Illustration functor - Image 1

noun

Funktionswort

(grammar) A function word.

Examples :

"In English grammar, a functor like "of" or "to" connects words to show relationships, such as "a book of poems" or "going to school." "

In der englischen Grammatik verbindet ein Funktionswort wie „of“ oder „to“ Wörter, um Beziehungen zu zeigen, wie zum Beispiel „a book of poems“ oder „going to school“.

grammar language linguistics word

Illustration functor - Image 1

noun

Funktor, Funktionsobjekt

A function object.

Examples :

"The sorting algorithm used a functor to compare the names of students alphabetically. "

Der Sortieralgorithmus verwendete ein Funktionsobjekt, um die Namen der Schüler alphabetisch zu vergleichen.

computing technical function logic

Illustration functor - Image 1

noun

Ein Funktor, ein Kategoriehomomorphismus

A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.

Examples :

"In the category of categories, mathbb{CAT}, the objects are categories and the morphisms are functors."

In der Kategorie der Kategorien, mathbb{CAT}, sind die Objekte Kategorien und die Morphismen Funktoren.

math theory logic computing