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functor

Meaning of "functor" in the English dictionary

DICTIONARY

PRONUNCIATION OF FUNCTOR

ˈfʌŋktə


GRAMMATICAL CATEGORY OF FUNCTOR

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Functor is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES FUNCTOR MEAN IN ENGLISH?

Functor

In mathematics, a functor is a type of mapping between categories, which is applied in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms. Functors were first considered in algebraic topology, where algebraic objects are associated to topological spaces, and algebraic homomorphisms are associated to continuous maps. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are generally applicable in areas within mathematics that category theory can make an abstraction of. The word functor was borrowed by mathematicians from the philosopher Rudolf Carnap, who used the term in a linguistic context: see function word.

Definition of functor in the English dictionary

The definition of functor in the dictionary is a function word or form word. Other definition of functor is a function that maps elements of one set to those of another.

WORDS THAT RHYME WITH FUNCTOR

acta · actor · character · collector · connecter · connector · contractor · director · disjunctor · doctor · factor · instructor · phytoplankter · protector · sancta · sector · sphincter · vector · victor · zooplankter

WORDS THAT BEGIN LIKE FUNCTOR

function word · functional · functional calculus · functional disease · functional food · functional group · functional illiteracy · functional illiterate · functional water · functionalism · functionalist · functionalistic · functionalitities · functionality · functionally · functionaries · functionary · functionate · functionless · fund

WORDS THAT END LIKE FUNCTOR

chiropractor · conductor · constructor · detector · executive director · extractor · hector · inspector · lector · managing director · predictor · private sector · projector · public sector · reactor · rector · selector · semiconductor · superconductor · X factor

Synonyms and antonyms of functor in the English dictionary of synonyms

SYNONYMS

Translation of «functor» into 25 languages

TRANSLATOR

TRANSLATION OF FUNCTOR

Find out the translation of functor to 25 languages with our English multilingual translator.

The translations of functor from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «functor» in English.
zh

Translator English - Chinese

函子
1,325 millions of speakers
es

Translator English - Spanish

funtor
570 millions of speakers
en

English

functor
510 millions of speakers
hi

Translator English - Hindi

functor
380 millions of speakers
ar

Translator English - Arabic

functor
280 millions of speakers
ru

Translator English - Russian

функтор
278 millions of speakers
pt

Translator English - Portuguese

functor
270 millions of speakers
bn

Translator English - Bengali

functor
260 millions of speakers
fr

Translator English - French

foncteur
220 millions of speakers
ms

Translator English - Malay

Functor
190 millions of speakers
de

Translator English - German

Funktor
180 millions of speakers
ja

Translator English - Japanese

関手
130 millions of speakers
ko

Translator English - Korean

85 millions of speakers
jv

Translator English - Javanese

Pabrike
85 millions of speakers
vi

Translator English - Vietnamese

functor
80 millions of speakers
ta

Translator English - Tamil

functor
75 millions of speakers
mr

Translator English - Marathi

फनिकर
75 millions of speakers
tr

Translator English - Turkish

funktoru
70 millions of speakers
it

Translator English - Italian

funtore
65 millions of speakers
pl

Translator English - Polish

funktor
50 millions of speakers
uk

Translator English - Ukrainian

функтор
40 millions of speakers
ro

Translator English - Romanian

functor
30 millions of speakers
el

Translator English - Greek

functor
15 millions of speakers
af

Translator English - Afrikaans

functor
14 millions of speakers
sv

Translator English - Swedish

funktor
10 millions of speakers
no

Translator English - Norwegian

functor
5 millions of speakers

Trends of use of functor

TRENDS

TENDENCIES OF USE OF THE TERM «FUNCTOR»

Principal search tendencies and common uses of functor
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «functor».

Examples of use in the English literature, quotes and news about functor

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FUNCTOR»

Discover the use of functor in the following bibliographical selection. Books relating to functor and brief extracts from same to provide context of its use in English literature.
1
Modern C++ Design: Generic Programming and Design Patterns ...
The implementation must handle the three essential cases: simple function calls, functor calls (including Functor calls; that is, you should be able to forward calls from one Functor to another), and member function calls. You might think to ...
Andrei Alexandrescu, 2001
2
Virtual Topology and Functor Geometry
For categories D and C we let a covariant functor F from D to C be defined by associating it to an object X of D an object F(X) of C and to a morphism f : X → Y in D a morphism F(f) : F(X) → F(Y)inC such that the following properties hold: i.
Fred Van Oystaeyen, 2007
3
Representations of Algebraic Groups
so as an affine scheme. Over an algebraically closed field, the category of algebraic groups as in [Hu2] or [Sp2] can be identified with the subcategory of all reduced algebraic fc-groups. Let G be a fc-group functor. A subgroup functor of G is a ...
Jens Carsten Jantzen, 2007
4
Advanced Topics in Types and Programming Languages
I ::= ... signatures: lie ( m : Ii ) : I2 generative functor TIa ( m : Ii ) : I2 applicative functor Figure 8-6: Mechanisms for applicative and generative functors module code with numerous sharing declarations, resulting in a net decrease in clarity and ...
Benjamin C. Pierce, 2005
5
Algebraic Geometry
If F:2l -» 23 is a covariant additive functor, then by definition there can exist at most one (up to unique isomorphism) universal <5-functor T with T° = F. If T exists , the T' are sometimes called the right satellite functors of F. Definition. An additive  ...
Robin Hartshorne, 1977
6
Programming in Prolog
William Clocksin, Christopher S. Mellish. bronte emily wh The important point is that we want this program to work whatever kind of structure we give it. One possibility, of course, is to provide a clause for every functor we can possibly think of.
William Clocksin, Christopher S. Mellish, 2003
7
C.: I.M. HOMOLOGY
As a functor of C it is contravariant (case IV); its right ^-derived functors are Ext*A >K)(C, A). As a functor of A, Horn^ is co variant (case III); its right ^-derived functor is again given by the sequence of functors Ext"/liK)(C, A), this time with the ...
Saunders Mac Lane, Saunders MacLane, 1995
8
Encyclopedic Dictionary of Mathematics
We say that a covariant d-functor y>^>q>' is given if we have a sequence of covariant functors T={T' :<£-><&'} and the connecting mor- phisms d :T'(A")-*T'* l( A') for an arbitrary short exact sequence 0->/T-»/l->/4"-»0 satisfying the following  ...
Kiyosi Itô, 1993
9
Encyclopaedia of Mathematics (set)
(A9) The forgetful functor Top-»Set sends each topological space to its underlying set, and each continuous function to itself ('forgetting' the continuity). Similarly, one has forgetful functors Gr->Set, ModR->Ab, etc. (A10) If S is a locally small ...
Michiel Hazewinkel, 1994
10
Categories in Algebra, Geometry and Mathematical Physics: ...
Hence the model structure is left proper by 7.13. It remains to show that the model structure is cartesian closed. By 7.27, it suffices to show that the functor A x (-) : S( 2) -> S(2) takes an acyclic map to an acyclic map. But this is clear since since ...
Alexei Davydov, 2007

10 NEWS ITEMS WHICH INCLUDE THE TERM «FUNCTOR»

Find out what the national and international press are talking about and how the term functor is used in the context of the following news items.
1
Entity component system, cache and parent-child relationship anomaly
You can permit this by having CComponentType have a forEach(Fn& function) template-function (where Fn is a functor), instead of it's ... «GameDev.net, Jun 15»
2
PhysicsFS help needed to read a directories files
Often I pass it my SV_WildcardMatch() functor, to easily filter out something like {"*.jpg", "*.jpeg", "*.png"} - I can also post the code for that, if you ... «GameDev.net, Jul 14»
3
Reading/Writing UTF8 with filestreams
Comparison with strings also benefits a lot from offering a number of functor comparators since strings can be compared so many different ways ... «GameDev.net, May 14»
4
[Opengl] Sorting vertices( further to nearest)
Sorting is as easy as calling std::sort on your list of models with a comparison functor that compares distance from the camera. Something like ... «GameDev.net, Apr 14»
5
Domain-Driven Design Using a Functional Language
... appreciate that functional programming may look scary for an object-oriented developer because of all the strange buzzwords like Functor, ... «InfoQ.com, Mar 14»
6
How to use boost::unordered_map with for_each?
You can hand-craft a functor class (if your compiler does not support lambdas) or use std::bind (or boost::bind if your compiler does not support ... «GameDev.net, Nov 12»
7
std::function, and callbacks, and functors, oh my!
I've used callback functions alot before, and I understand what a functor is, but I've never created a function that takes a functor as a parameter. «GameDev.net, Sep 12»
8
Using Lambda Expressions for Shorter, More Readable C++ Code
Listing 2 shows a typical functor. Unlike C pointers to functions, functors can keep state (i.e., in private member variables, as you'll see in Listing ... «Visual Studio Magazine, Jun 12»
9
The New C++ - functions
An example is a stateless functor that you simply construct when you create the std::function object, as shown in the first example. Thus we ... «GameDev.net, Mar 12»
10
Functors and Function Objects
In most languages a function object is called either a function object or a first class function but in C++ and a few languages the term functor is ... «iProgrammer, Aug 11»
REFERENCE
« EDUCALINGO. Functor [online]. Available <https://educalingo.com/en/dic-en/functor>. Jun 2026 ».
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