functor background

functor

/ˈfʌŋktə/

Illustration functor - Image 1

noun

Palabra funcional

(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." "

En la gramática inglesa, una palabra funcional como "of" o "to" conecta palabras para mostrar relaciones, como "a book of poems" o "going to school".

grammar language linguistics word

Illustration functor - Image 1

noun

Objeto función

A function object.

Examples :

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

El algoritmo de ordenamiento usó un objeto función para comparar los nombres de los estudiantes alfabéticamente.

computing technical function logic

Illustration functor - Image 1

noun

Un functor, un homomorfismo de categorías

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."

En la categoría de categorías, mathbb{CAT}, los objetos son categorías y los morfismos son funtores.

math theory logic computing