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Meaning of "groupoid" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF GROUPOID

groupoid  [ˈɡruːpɔɪd] play
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GRAMMATICAL CATEGORY OF GROUPOID

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Groupoid 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 GROUPOID MEAN IN ENGLISH?

Groupoid

In mathematics, especially in category theory and homotopy theory, a groupoid generalises the notion of group in several equivalent ways. A groupoid can be seen as a: ▪ Group with a partial function replacing the binary operation; ▪ Category in which every morphism is invertible. A category of this sort can be viewed as augmented with a unary operation, called inverse by analogy with group theory. ▪ Oriented graph Special cases include: ▪ Setoids, that is: sets that come with an equivalence relation; ▪ G-sets, sets equipped with an action of a group G. Groupoids are often used to reason about geometrical objects such as manifolds. Heinrich Brandt introduced groupoids implicitly via Brandt semigroups.

Definition of groupoid in the English dictionary

The definition of groupoid in the dictionary is an algebraic structure consisting of a set with a single binary operation acting on it.

WORDS THAT RHYME WITH GROUPOID


android
ˈændrɔɪd
annoyed
əˈnɔɪd
anthropoid
ˈænθrəˌpɔɪd
avoid
əˈvɔɪd
Boyd
bɔɪd
factoid
ˈfæktɔɪd
Freud
frɔɪd
humanoid
ˈhjuːməˌnɔɪd
lipoid
ˈlɪpɔɪd
Lloyd
lɔɪd
paranoid
ˈpærəˌnɔɪd
philanthropoid
fɪlˈænθrəˌpɔɪd
pithecanthropoid
ˌpɪθɪˈkænθrəˌpɔɪd
Polaroid
ˈpəʊləˌrɔɪd
polypoid
ˈpɒlɪˌpɔɪd
steroid
ˈstɪərɔɪd
thyroid
ˈθaɪrɔɪd
unemployed
ˌʌnɪmˈplɔɪd
vespoid
ˈvespɔɪd
void
vɔɪd

WORDS THAT BEGIN LIKE GROUPOID

group practice
group sex
group speed
group theory
group therapist
group therapy
group velocity
group work
groupable
groupage
grouper
groupie
grouping
groupist
grouplet
groupthink
groupuscule
groupware
grouse
grouse moor

WORDS THAT END LIKE GROUPOID

amyloid
asteroid
benzenoid
celluloid
colloid
corticosteroid
dermoid
devoid
erythroid
hyperthyroid
lymphoid
mucoid
myeloid
opioid
pemphigoid
rheumatoid
rhomboid
solenoid
trapezoid
typhoid

Synonyms and antonyms of groupoid in the English dictionary of synonyms

SYNONYMS

Translation of «groupoid» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF GROUPOID

Find out the translation of groupoid to 25 languages with our English multilingual translator.
The translations of groupoid from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «groupoid» in English.

Translator English - Chinese

广群
1,325 millions of speakers

Translator English - Spanish

groupoid
570 millions of speakers

English

groupoid
510 millions of speakers

Translator English - Hindi

groupoid
380 millions of speakers
ar

Translator English - Arabic

groupoid
280 millions of speakers

Translator English - Russian

группоидом
278 millions of speakers

Translator English - Portuguese

grupóides
270 millions of speakers

Translator English - Bengali

groupoid
260 millions of speakers

Translator English - French

groupoïde
220 millions of speakers

Translator English - Malay

Groupoid
190 millions of speakers

Translator English - German

groupoid
180 millions of speakers

Translator English - Japanese

亜群
130 millions of speakers

Translator English - Korean

groupoid
85 millions of speakers

Translator English - Javanese

Klompok
85 millions of speakers
vi

Translator English - Vietnamese

groupoid
80 millions of speakers

Translator English - Tamil

groupoid
75 millions of speakers

Translator English - Marathi

समूहओड
75 millions of speakers

Translator English - Turkish

grupoid
70 millions of speakers

Translator English - Italian

gruppoide
65 millions of speakers

Translator English - Polish

groupoid
50 millions of speakers

Translator English - Ukrainian

группоід
40 millions of speakers

Translator English - Romanian

grupoid
30 millions of speakers
el

Translator English - Greek

groupoid
15 millions of speakers
af

Translator English - Afrikaans

groupoid
14 millions of speakers
sv

Translator English - Swedish

groupoid
10 millions of speakers
no

Translator English - Norwegian

groupoid
5 millions of speakers

Trends of use of groupoid

TRENDS

TENDENCIES OF USE OF THE TERM «GROUPOID»

The term «groupoid» is normally little used and occupies the 133.746 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
38
/100
The map shown above gives the frequency of use of the term «groupoid» in the different countries.
Principal search tendencies and common uses of groupoid
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «groupoid».

FREQUENCY OF USE OF THE TERM «GROUPOID» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «groupoid» during the past 500 years. Its implementation is based on analysing how often the term «groupoid» appears in digitalised printed sources in English between the year 1500 and the present day.

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «GROUPOID»

Discover the use of groupoid in the following bibliographical selection. Books relating to groupoid and brief extracts from same to provide context of its use in English literature.
1
Groupoid Metrization Theory: With Applications to Analysis ...
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide.
Dorina Mitrea, Irina Mitrea, Marius Mitrea, 2012
2
European Congress of Mathematics, Barcelona, July 10-14, ...
A Lie groupoid G is said to be stale (or r-discrete) if all the structure maps in (1) are local diffeomorphisms (it is enough to require this for s). The relevance of etale groupoids for foliations is based on the following proposition [6]. Proposition 2.1.
Carles Casacuberta, 2001
3
General Theory of Lie Groupoids and Lie Algebroids
Coste, Dazord, and Weinstein [1987] were concerned with Lagrangian bisections of symplectic groupoids in which the image of the bisection is a Lagrangian subman- ifold of the groupoid space. This combines the notion of bisection as a ...
Kirill C. H. Mackenzie, 2005
4
K-theory and Noncommutative Geometry
A Schwartz type algebra for the tangent groupoid Paulo Carrillo Rouse 1 Introduction The concept of groupoid is central in non commutative geometry. Groupoids generalize the concepts of spaces, groups and equivalence relations. It is clear ...
Guillermo Cortiñas, 2008
5
Groupoids, Inverse Semigroups, and their Operator Algebras
A useful groupoid that arises in algebraic topology is the fundamental groupoid of a topological space X ([164, 125. 24]). For a fundamental group, one fixes a base point xQ and looks at homotopy classes of paths in X beginning and ending at ...
Alan Paterson, 1999
6
Non Associative Algebraic Structures Using Finite Complex ...
Thus we will say a groupoid ring FG is a Smarandache Moufang groupoid ring if the groupoid G is a Smarandache Moufang groupoid. Likewise FG is a Smarandache strong Moufang groupoid ring if G is a Smarandache strong Moufang ...
W.B. Vasantha Kandasamy, Florentin Smarandache, 2012
7
Orbifolds in Mathematics and Physics: Proceedings of a ...
The purpose of this paper is to introduce the notion of loop groupoid LG associated to a groupoid G. After studying the general properties of LG, we show how this notion provides a very natural geometric interpretation for the twisted sectors of ...
Alejandro Adem, Jack Morava, Yongbin Ruan, 2002
8
Interval Groupoids
This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid.An interesting feature of this book is that introduces 77 new definitions substantiated and described by 426 ...
W. B. Vasantha Kandasamy, Florentin Smarandache, Moon Kumar Chetry, 2010
9
On Dynamical Poisson Groupoids I
In order to state our objectives and results, let us begin by recalling that a symplectic groupoid is a pair (r,II), consisting of a Lie groupoid T together with a non-degenerate Poisson structure II, in such a way that the graph of the multiplication ...
Serge Parmentier
10
Lie Groupoids and Lie Algebroids in Differential Geometry
Path connections in Lie groupoids §7 is concerned with the relationship between the action of an infinitesimal connection and the action of its holonomy groupoid. The first part of this section formalizes the concept of C -path connection in a Lie ...
K. Mackenzie, 1987

2 NEWS ITEMS WHICH INCLUDE THE TERM «GROUPOID»

Find out what the national and international press are talking about and how the term groupoid is used in the context of the following news items.
1
The Wholeness of Quantum Reality: An Interview with Physicist Basil …
The basic thing he discovered was a “groupoid,” and a groupoid is what is used in category theory nowadays. It's to discuss process. GM: How ... «Scientific American, Nov 13»
2
Physicist-priest wins $1.7 million prize
Heller's current work focuses on noncommutative geometry and groupoid theory in mathematics which attempts to remove the problem of an ... «Nature.com, Mar 08»

REFERENCE
« EDUCALINGO. Groupoid [online]. Available <https://educalingo.com/en/dic-en/groupoid>. Apr 2024 ».
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