functor background

functor

/ˈfʌŋktə/

Illustration functor - Image 1

noun

功能词, 虚词

(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." "

在英语语法中，功能词，比如“of”或“to”，连接不同的词来表示它们之间的关系，例如“a book of poems (一本诗集)”或者“going to school (去上学)”。

grammar language linguistics word

Illustration functor - Image 1

noun

函子，函数对象。

A function object.

Examples :

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

排序算法使用了一个函子（函数对象）来按字母顺序比较学生姓名。

computing technical function logic

Illustration functor - Image 1

noun

函子，函子映射。

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."

在范畴的范畴，mathbb{CAT} 中，对象是范畴，态射是函子（函子映射）。

math theory logic computing