FUNCTOR

Etymology

Noun

functor (plural functors)

(grammar) A function word.

(object-oriented programming) A function object.

(category theory) 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.

Hyponym: endofunctor

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

$$\overline{F} : \overrightarrow{X} \rightarrow \overline{F(\overrightarrow{X})}, F^0 : \overrightarrow{X}\rightarrow F(\overrightarrow{X})^0, F^c : \overrightarrow{X} \rightarrow F(\overrightarrow{X})^c$$ .

$$S(M,X) = \bigoplus^\infty_{r=0} \left ( M(r)\otimes X^{\otimes r}\right )_{\Sigma_r}$$ .

Source: Wiktionary

Find words from

that start with

that end with

containing

of length

RESET

Recent Word Finds

Words From AIJIBGEYAW

Words From CBARJSOHFUMU

Words From EAIIKQV

Words From IEEGKOSJIPZ

Words From TIXAWAOGHN

Words From YUIEVRVYW

Words From FFIENAZF

Word of the Day

30 May 2025

FOREHAND

(noun) (sports) a return made with the palm of the hand facing the direction of the stroke (as in tennis or badminton or squash)

Coffee Trivia

Plain brewed coffee contains almost no calories, while coffee with dairy products, sugar, and other flavorings is much higher in calories. An espresso has 20 calories. A nonfat latte has 72, while a flavored one has 134.