functor

/ˈfʌŋktə/

Meanings

noun

(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." "

noun

A function object.

Examples :

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

computing technical function logic

noun

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."

math theory logic computing

Related Words

connects verb

/kəˈnɛkts/

(of an object) To join (to another object): to attach, or to be intended to attach or capable of attaching, to another object.

"I think this piece connects to that piece over there."

students noun

/ˈstjuːdn̩ts/ /ˈstudn̩ts/

A person who studies or learns about a particular subject.

"He is a student of life."

categories noun

/ˈkætɪɡ(ə)ɹiz/ /ˈkætəˌɡɔɹiz/

A group, often named or numbered, to which items are assigned based on similarity or defined criteria.

"The library organizes books into different categories, such as fiction, non-fiction, and children's books. "

identities noun

/aɪˈdɛntɪtiz/ /ɪˈdɛntɪtiz/

Sameness, identicalness; the quality or fact of (several specified things) being the same.

"The police were investigating if the fingerprints found at both crime scenes could confirm the identities of the suspects. "

homomorphism noun

/ˌhoʊməˈmɔːrfɪzəm/ /ˌhɑːməˈmɔːrfɪzəm/

A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.

"A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving."

alphabetically adverb

/ˌælfəˈbetɪkli/ /ˌælfəˈbɛtɪkli/

(manner) In an alphabetical manner.

"The students listed the names of their favorite animals alphabetically. "

codomains noun

/koʊdoʊˈmeɪnz/

The target set into which a function is formally defined to map elements of its domain; the set denoted Y in the notation f : X → Y.

"In Ms. Johnson's math class, the codomains of functions are always written on the board next to the domains, so students know the possible output values. "

algorithm noun

/ˈælɡəɹɪðm̩/ /ˈælɡəˌɹɪðm̩/

A collection of ordered steps that solve a mathematical problem. A precise step-by-step plan for a computational procedure that possibly begins with an input value and yields an output value in a finite number of steps.

"The algorithm for calculating the average test score in class involved adding all the scores together and then dividing by the number of students. "

function noun

/ˈfʌŋ(k)ʃən/ /ˈfʌŋkʃən/

What something does or is used for.

"The function of a school lunch is to provide students with nutrition. "

relationships noun

/rɪˈleɪʃənʃɪps/ /rɪˈleɪʃʌnʃɪps/

Connection or association; the condition of being related.

"Building strong relationships with classmates can make learning more enjoyable. "

category noun

/ˈkætəˌɡɔɹi/ /ˈkɛtɘɡ(ɘ)ɹi/ /ˈkætɪɡ(ə)ɹi/

A group, often named or numbered, to which items are assigned based on similarity or defined criteria.

"The library organized its books by category, such as fiction, non-fiction, and children's books. "

composition noun

/ˌkɒmpəˈzɪʃən/

The act of putting together; assembly.

"The composition of the band's new song involved several different instruments. "