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surjection

Meaning of "surjection" in the English dictionary

DICTIONARY

ETYMOLOGY OF THE WORD SURJECTION

From sur-1 + -jection, on the model of projection.

Etymology is the study of the origin of words and their changes in structure and significance.

PRONUNCIATION OF SURJECTION

sɜːˈdʒɛkʃən


GRAMMATICAL CATEGORY OF SURJECTION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Surjection 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 SURJECTION MEAN IN ENGLISH?

Surjective function

In mathematics, a function f from a set X to a set Y is surjective, or a surjection, if every element y in Y has a corresponding element x in X such that f = y. The function f may map more than one element of X to the same element of Y. The term surjective and the related terms injective and bijective were introduced by Nicolas Bourbaki, the pseudonym for a group of mainly French 20th-century mathematicians who wrote a series of books presenting an exposition of modern advanced mathematics, beginning in 1935. The French prefix sur means over or above and relates to the fact that the image of the domain of a surjective function completely covers the function's codomain.

WORDS THAT RHYME WITH SURJECTION

abjection · bijection · collection · connection · correction · dejection · direction · disjection · injection · interjection · introjection · microinjection · objection · postinjection · projection · protection · section · selection · subjection · trajection

WORDS THAT BEGIN LIKE SURJECTION

surgical strike · surgically · surgy · Suribachi · suricate · surimi · Surinam · Surinam toad · Suriname · Surinamese · surjective · surlier · surliest · surlily · surliness · surly · surmaster · surmisable · surmisal · surmise

WORDS THAT END LIKE SURJECTION

accreditation · action · addiction · attraction · auction · construction · course of action · election · fiction · function · inspection · instruction · interaction · introduction · out of action · production · reaction · reduction · reproduction · satisfaction · transaction

Synonyms and antonyms of surjection in the English dictionary of synonyms

SYNONYMS

Translation of «surjection» into 25 languages

TRANSLATOR

TRANSLATION OF SURJECTION

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

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

Translator English - Chinese

满射
1,325 millions of speakers
es

Translator English - Spanish

surjection
570 millions of speakers
en

English

surjection
510 millions of speakers
hi

Translator English - Hindi

surjection
380 millions of speakers
ar

Translator English - Arabic

surjection
280 millions of speakers
ru

Translator English - Russian

сюръекцией
278 millions of speakers
pt

Translator English - Portuguese

surjection
270 millions of speakers
bn

Translator English - Bengali

surjection
260 millions of speakers
fr

Translator English - French

surjection
220 millions of speakers
ms

Translator English - Malay

Suratan
190 millions of speakers
de

Translator English - German

Surjektion
180 millions of speakers
ja

Translator English - Japanese

全射
130 millions of speakers
ko

Translator English - Korean

surjection
85 millions of speakers
jv

Translator English - Javanese

Suratan
85 millions of speakers
vi

Translator English - Vietnamese

surjection
80 millions of speakers
ta

Translator English - Tamil

surjection
75 millions of speakers
mr

Translator English - Marathi

अनुमान
75 millions of speakers
tr

Translator English - Turkish

örten
70 millions of speakers
it

Translator English - Italian

surjection
65 millions of speakers
pl

Translator English - Polish

surjection
50 millions of speakers
uk

Translator English - Ukrainian

сюр´екціей
40 millions of speakers
ro

Translator English - Romanian

surjectie
30 millions of speakers
el

Translator English - Greek

surjection
15 millions of speakers
af

Translator English - Afrikaans

surjection
14 millions of speakers
sv

Translator English - Swedish

surjection
10 millions of speakers
no

Translator English - Norwegian

surjection
5 millions of speakers

Trends of use of surjection

TRENDS

TENDENCIES OF USE OF THE TERM «SURJECTION»

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

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «SURJECTION»

Discover the use of surjection in the following bibliographical selection. Books relating to surjection and brief extracts from same to provide context of its use in English literature.
1
Introduction to Operator Space Theory
In Banach space theory, a mapping u: E — > F (between Banach spaces) is called a metric surjection if it is onto and if the associated mapping from E / ker(u) to F is an isometric isomorphism. Moreover, by the classical open mapping theorem, ...
Gilles Pisier, 2003
2
Introductory Discrete Mathematics
Is f a surjection? Is the inverse function a surjection? 0.32 Suppose that f(x) = x2 - 4, where x is a real number. Find the images of the 0.33. 0.34. 0.35. 0.36 a 0.37. 0.38. 0.39. 0.40. 0.41. 0.42. 0.43. following sets: (a) {—4, 4, 5}, (b) {4. 5} (c) {t z t ...
V. K . Balakrishnan, 2012
3
Theory of Sets
(b) If f and f are surjections, then f" is a surjection. If s, s' are sections off, f, respectively, then s ° s' is a section off". (c) Iff" is an injection, then f is an injection. If r" is a retraction off", then r"of' is a retraction off. (d) Iff" is a surjection, then f is a ...
N. Bourbaki, 2004
4
Mathematics for Algorithm and Systems Analysis
If the attempt at specification makes any sense, it tells us that f is a surjection. We cannot give it in two-line form since we don't know the function. (b) We know the domain and range of f and the domain has an implicit order. Thus the one-line ...
Edward A. Bender, Stanley Gill Williamson, 2005
5
Lists, Decisions and Graphs
If the attempt at specification makes any sense, it tells us that f is a surjection. We cannot give it in two-line form since we don't know the function. (b) We know the domain and range of f and the domain has an implicit order. Thus the one-line ...
Edward A. Bender and S. Gill Williamson
6
Categories of Modules Over Endomorphism Rings
Because (A, P) has the (endlich) Baer splitting property g is a split surjection, and hence P is a (finite) ^-module. (b) Let g : C — ▻ P' be a surjection in Mr such that D + kerg = C for some (finitely) ^-generated submodule D C C. Write P — P' ...
Theodore G. Faticoni, 1993
7
Abstract Algebra: An Inquiry Based Approach
Special Types ofFunctions: Injections and Surjections 539 Definition A.6. Let f : A → B be a function from the set A to the set B. The function f is called a surjection provided that the range of f equals the codomain of f. This means that for every y  ...
Jonathan K. Hodge, Steven Schlicker, Ted Sundstrom, 2013
8
An Invitation to Abstract Mathematics
In particular, f '1 is a surjection from Nto N ><N. But, if f '1 is a surjection from Nto N XN and g is a surjection from N XNto A ><B, then, by Proposition 19.16, g of '1 is a surjection from Nto A X8, and so A X8 is countable. Analogously to the ...
Béla Bajnok, 2013
9
Selected Works of Maurice Auslander
(a) Suppose /,•: A —*□ A, i = 1,..., n is a finite family of morphisms and f0: B — » □ A is a morphism such that the induced morphism f : B JJ nA —*□ A is a surjec- tion which is not a splittablc surjection. Then tb(A) = A and so there is a surjection  ...
Maurice Auslander, Idun Reiten, Sverre O. Smalø, 1999
10
Operads in Algebra, Topology and Physics
The direct sum in (3.40) looks very much like the direct sum representation (3.8) of C(V) (without the twisting by det(T^)), with the exception that the gradings in N(• P) and C(P) are quite different; N(•P) is graded by the length of the surjection ...
Martin Markl, Steven Shnider, James D. Stasheff, 2007

2 NEWS ITEMS WHICH INCLUDE THE TERM «SURJECTION»

Find out what the national and international press are talking about and how the term surjection is used in the context of the following news items.
1
Mon chat est mort ; la culture de l'arnaque
... est le déterminant de la valeur de l'émotion déclarée, et ce, même s'il est difficile de quantifier la valeur de la représentation sociale (la surjection qualitative), ... «AgoraVox, Dec 11»
2
Michael Pisaro & Greg Stuart Hearing Metal 2 & 3
These pieces never evoke the timeless shit-stain abstract art sentiment of “I could do that”; instead, there is a surjection between what and how: the listener ... «Tiny Mix Tapes, Sep 11»
REFERENCE
« EDUCALINGO. Surjection [online]. Available <https://educalingo.com/en/dic-en/surjection>. May 2024 ».
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