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Meaning of "automorphism" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF AUTOMORPHISM

automorphism  [ˌɔːtəʊˈmɔːfɪzəm] play
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GRAMMATICAL CATEGORY OF AUTOMORPHISM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Automorphism 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 AUTOMORPHISM MEAN IN ENGLISH?

Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group of the object.

Definition of automorphism in the English dictionary

The definition of automorphism in the dictionary is the practice of seeing others as have the same characteristics as oneself.

WORDS THAT RHYME WITH AUTOMORPHISM


amorphism
əˈmɔːfɪzəm
anthropomorphism
ˌænθrəpəˈmɔːfɪzəm
dimorphism
daɪˈmɔːfɪzəm
dwarfism
ˈdwɔːfɪzəm
hemimorphism
ˌhɛmɪˈmɔːfɪzəm
heteromorphism
ˌhɛtərəʊˈmɔːfɪzəm
homeomorphism
ˌhəʊmɪəˈmɔːfɪzəm
homoeomorphism
ˌhəʊmɪəˈmɔːfɪzəm
homomorphism
ˌhəʊməʊˈmɔːfɪzəm
hylomorphism
ˌhaɪləˈmɔːfɪzəm
isodimorphism
ˌaɪsəʊdaɪˈmɔːfɪzəm
isomorphism
ˌaɪsəʊˈmɔːfɪzəm
mechanomorphism
ˌmekənəʊˈmɔːfɪzəm
metamorphism
ˌmɛtəˈmɔːfɪzəm
monomorphism
mɒnəʊˈmɔːfɪzəm
Orphism
ˈɔːfɪzəm
perimorphism
ˌpɛrɪˈmɔːfɪzəm
polymorphism
ˌpɒlɪˈmɔːfɪzəm
skeuomorphism
ˌskjuːəˈmɔːfɪzəm
zoomorphism
ˌzəʊəˈmɔːfɪzəm

WORDS THAT BEGIN LIKE AUTOMORPHISM

automatically
automaticity
automation
automatisation
automatise
automatism
automatist
automatization
automatize
automaton
automatous
autometer
automobile
automobilia
automobilism
automobilist
automobility
automorphic
automorphically
automotive

WORDS THAT END LIKE AUTOMORPHISM

allomorphism
anamorphism
Buddhism
catastrophism
diastrophism
enantiomorphism
endomorphism
Guelphism
gynandromorphism
idiomorphism
paramorphism
pleomorphism
psephism
pseudomorphism
rheomorphism
sapphism
sexual dimorphism
sophism
theriomorphism
trimorphism
zygomorphism

Synonyms and antonyms of automorphism in the English dictionary of synonyms

SYNONYMS

Translation of «automorphism» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF AUTOMORPHISM

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

Translator English - Chinese

1,325 millions of speakers

Translator English - Spanish

automorfismo
570 millions of speakers

English

automorphism
510 millions of speakers

Translator English - Hindi

automorphism
380 millions of speakers
ar

Translator English - Arabic

automorphism
280 millions of speakers

Translator English - Russian

автоморфизм
278 millions of speakers

Translator English - Portuguese

automorphism
270 millions of speakers

Translator English - Bengali

automorphism
260 millions of speakers

Translator English - French

automorphisme
220 millions of speakers

Translator English - Malay

Automorphism
190 millions of speakers

Translator English - German

Automorphismus
180 millions of speakers

Translator English - Japanese

自己同形
130 millions of speakers

Translator English - Korean

동형
85 millions of speakers

Translator English - Javanese

Automorphism
85 millions of speakers
vi

Translator English - Vietnamese

automorphism
80 millions of speakers

Translator English - Tamil

ஏற்றி வைத்தல்
75 millions of speakers

Translator English - Marathi

ऑटोमॉर्फिझम
75 millions of speakers

Translator English - Turkish

otomorfizm
70 millions of speakers

Translator English - Italian

automorfismo
65 millions of speakers

Translator English - Polish

automorfizmem
50 millions of speakers

Translator English - Ukrainian

автоморфизм
40 millions of speakers

Translator English - Romanian

automorphism
30 millions of speakers
el

Translator English - Greek

automorphism
15 millions of speakers
af

Translator English - Afrikaans

automorphism
14 millions of speakers
sv

Translator English - Swedish

automorfism
10 millions of speakers
no

Translator English - Norwegian

automorphism
5 millions of speakers

Trends of use of automorphism

TRENDS

TENDENCIES OF USE OF THE TERM «AUTOMORPHISM»

The term «automorphism» is regularly used and occupies the 64.825 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
70
/100
The map shown above gives the frequency of use of the term «automorphism» in the different countries.
Principal search tendencies and common uses of automorphism
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «automorphism».

FREQUENCY OF USE OF THE TERM «AUTOMORPHISM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «automorphism» during the past 500 years. Its implementation is based on analysing how often the term «automorphism» 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 automorphism

EXAMPLES

10 ENGLISH BOOKS RELATING TO «AUTOMORPHISM»

Discover the use of automorphism in the following bibliographical selection. Books relating to automorphism and brief extracts from same to provide context of its use in English literature.
1
The Reconstruction of Trees from Their Automorphism Groups
The text focuses on automorphism groups of trees, providing a nearly complete analysis of when two trees have isomorphic automorphism groups.
Matatyahu Rubin, 1993
2
Characters and Automorphism Groups of Compact Riemann Surfaces
Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.
Thomas Breuer, 2000
3
Model Theory of Groups and Automorphism Groups
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.
David M. Evans, 1997
4
Structure of Factors and Automorphism Groups
General Theory of Crossed Products and Duality As seen in Chapter I, every von Neumann algebra M carries a unique, up to unitary cocy- cle perturbations, one parameter automorphism group {of} as the modular automorphism group of a ...
Masamichi Takesaki, 1983
5
Holomorphic Automorphism Groups in Banach Spaces: An ...
Holomorphic Automorphism Groups in Banach Spaces
J.M. Isidro, L.L. Stachó, 2011
6
Automorphism Towers of General Linear Groups
For a given group it is in general not easy to say whether its automorphism tower terminates.
Margret Soley Jonsdottir, 2008
7
Graphs & Digraphs, Fifth Edition
An automorphism of a graph G is an isomorphism from G to itself. Thus an automorphism of G is a permutation of V(G) that preserves adjacency (and nonadjacency). Of course, the identity function ǫ on V(G) is an automorphism of G. The ...
Gary Chartrand, Linda Lesniak, Ping Zhang, 2010
8
Cyclic renormalization and automorphism groups of rooted trees
The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory.
Hyman Bass, 1996
9
Automorphism Groups of Maps, Surfaces and Smarandache ...
For such covering spaces, an interesting problems is that finding conditions on the assignment so that an automorphism of graph or map is also an automorphism of the lifted graph or map, and then apply this technique to finding regular maps ...
Linfan Mao
10
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic ...
In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms.
Alexander Isaev, 2007

2 NEWS ITEMS WHICH INCLUDE THE TERM «AUTOMORPHISM»

Find out what the national and international press are talking about and how the term automorphism is used in the context of the following news items.
1
Scalars, Vectors, and Quaternion [Scalars and Quaternion Vectors …
If the quaternion product is viewed as an automorphism - start with two quaternions and end with a quaternion - then any and all operations that ... «Science 2.0, Jun 12»
2
Physicists Develop Quantum Version of Public Key Encryption
A related problem, called the graph automorphism problem, is known to be hard even for a quantum computer and it is this that Kawachi and co ... «MIT Technology Review, Mar 11»

REFERENCE
« EDUCALINGO. Automorphism [online]. Available <https://educalingo.com/en/dic-en/automorphism>. May 2024 ».
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