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Meaning of "isomorphism" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF ISOMORPHISM

isomorphism  [ˌaɪsəʊˈmɔːfɪzəm] play
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GRAMMATICAL CATEGORY OF ISOMORPHISM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Isomorphism 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 ISOMORPHISM MEAN IN ENGLISH?

Isomorphism

In mathematics, an isomorphism, from the Greek: ἴσος isos "equal", and μορφή morphe "shape", is a homomorphism that admits an inverse. Two mathematical objects are isomorphic if an isomorphism exists between them. An automorphism is an isomorphism whose source and target coincide. The interest of isomorphisms lies in the fact that two isomorphic objects cannot be distinguished by using only the properties used to define morphisms; thus isomorphic objects may be considered the same as long as one considers only these properties and their consequences. For most algebraic structures, including groups and rings, a homomorphism is an isomorphism if and only if it is bijective. In topology, where the morphisms are continuous functions, isomorphisms are also called homeomorphisms or bicontinuous functions. In mathematical analysis, where the morphisms are differentiable functions, isomorphisms are also called diffeomorphisms. Isomorphisms are formalized using category theory.

Definition of isomorphism in the English dictionary

The first definition of isomorphism in the dictionary is similarity of form, as in different generations of the same life cycle. Other definition of isomorphism is the existence of two or more substances of different composition in a similar crystalline form. Isomorphism is also a one-to-one correspondence between the elements of two or more sets, such as those of Arabic and Roman numerals, and between the sums or products of the elements of one of these sets and those of the equivalent elements of the other set or sets.

WORDS THAT RHYME WITH ISOMORPHISM


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

WORDS THAT BEGIN LIKE ISOMORPHISM

isomerase
isomeric
isomerisation
isomerise
isomerism
isomerization
isomerize
isomerous
isometric
isometric drawing
isometric line
isometrical
isometrically
isometrics
isometropia
isometry
isomorph
isomorphic
isomorphically
isomorphous

WORDS THAT END LIKE ISOMORPHISM

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 isomorphism in the English dictionary of synonyms

SYNONYMS

Translation of «isomorphism» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ISOMORPHISM

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

Translator English - Chinese

同构
1,325 millions of speakers

Translator English - Spanish

isomorfismo
570 millions of speakers

English

isomorphism
510 millions of speakers

Translator English - Hindi

समाकृतिकता
380 millions of speakers
ar

Translator English - Arabic

التماثل
280 millions of speakers

Translator English - Russian

изоморфизм
278 millions of speakers

Translator English - Portuguese

isomorfismo
270 millions of speakers

Translator English - Bengali

isomorphism
260 millions of speakers

Translator English - French

isomorphisme
220 millions of speakers

Translator English - Malay

Isomorphism
190 millions of speakers

Translator English - German

Isomorphismus
180 millions of speakers

Translator English - Japanese

同型
130 millions of speakers

Translator English - Korean

동형
85 millions of speakers

Translator English - Javanese

Isomorphism
85 millions of speakers
vi

Translator English - Vietnamese

đẳng cấu
80 millions of speakers

Translator English - Tamil

ஓரினச்சார்பு
75 millions of speakers

Translator English - Marathi

समस्थानिकता
75 millions of speakers

Translator English - Turkish

izomorfizm
70 millions of speakers

Translator English - Italian

isomorfismo
65 millions of speakers

Translator English - Polish

izomorfizm
50 millions of speakers

Translator English - Ukrainian

ізоморфізм
40 millions of speakers

Translator English - Romanian

izomorfism
30 millions of speakers
el

Translator English - Greek

ισομορφισμός
15 millions of speakers
af

Translator English - Afrikaans

isomorfie
14 millions of speakers
sv

Translator English - Swedish

isomorfism
10 millions of speakers
no

Translator English - Norwegian

isomorfi
5 millions of speakers

Trends of use of isomorphism

TRENDS

TENDENCIES OF USE OF THE TERM «ISOMORPHISM»

The term «isomorphism» is regularly used and occupies the 71.369 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
67
/100
The map shown above gives the frequency of use of the term «isomorphism» in the different countries.
Principal search tendencies and common uses of isomorphism
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «isomorphism».

FREQUENCY OF USE OF THE TERM «ISOMORPHISM» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «ISOMORPHISM»

Discover the use of isomorphism in the following bibliographical selection. Books relating to isomorphism and brief extracts from same to provide context of its use in English literature.
1
Lectures on the Curry-Howard Isomorphism
Coq). This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.
Morten Heine Sørensen, Pawel Urzyczyn, 2006
2
The Graph Isomorphism Problem: Its Structural Complexity
Our idea behind this book is to summarize such results which might otherwise not be easily accessible in the literature, and also, to give the reader an understanding of the aims and topics in Structural Complexity Theory, in general.
J. Kobler, U. Schöning, Jacobo Toran, 2012
3
A subexponential algorithm for trivalent graph isomorphism
NO ABSTRACT SUPPLIED.
Merrick Lee Furst, John E. Hopcroft, Eugene Luks, 1980
4
Mechanisms of Isomorphism
Seminar paper from the year 2008 in the subject Politics - International Politics - Region: South Asia, grade: 2,3, Bielefeld University (Fakultat fur Soziologie), course: Grundrechte, 21 entries in the bibliography, language: English, ...
Florian Sander, 2008
5
Handbook of Organizational Change and Innovation
The diffusion of institutional isomorphism can occur through three different mechanisms—coercive, mimetic, and normative (DiMaggio and Powell, 1983). These mechanisms are each caused by different conditions (Mizruchi and Fein, 1999) ...
Marshall Scott Poole Department of Speech Communication Texas A & M University, Carlson School of Management University of Minnesota Andrew H. Van de Ven Department of Strategic Management and Organization, 2004
6
Algorithms on Trees and Graphs
two unordered trees being identical in order for the trees to be iso- morphic, is equivalent to showing that, up to isomorphism, a unique unordered tree can be reconstructed from its isomorphism code. The latter can be shown by induction on ...
Gabriel Valiente, 2002
7
The Computational Complexity of Equivalence and Isomorphism ...
That is, an isomorphism can be written as xP, and a congruence can be written as xP +c, for a vector c ∈ {0,1}n. A natural generalization of the above notions is therefore to consider linear and affine transformations xA and xA + c, respectively , ...
Thomas Thierauf, 2000
8
On Graph Isomorphism and the PageRank Algorithm
Christopher J. Augeri. 2.5. The PageRank Algorithm Another significant application of the eigen decomposition to graph theory is the PageRank algorithm used in certain search engines to order query responses, such as the web pages ...
Christopher J. Augeri, 2008
9
On the Geometrical Isomorphism of Crystals and the ...
Walter Mitchell. Columbia llnt LIBRARY VICTORIA INSTITUTE, PHILOSOPHICAL SOCIETY OF GREm BRITAIN. Geometrical Isomorphism of.
Walter Mitchell, 1869
10
Strategische Managementtheorie
39. No. 4. 1024-1039. DOES ISOMORPHISM LEGITIMATE? DAVID L. DEEPHOUSE Louisiana State University This study tests a central proposition of institutional theory, that organizational isomorphism increases organizational legitimacy.
Rudi K. F. Bresser, 1998

10 NEWS ITEMS WHICH INCLUDE THE TERM «ISOMORPHISM»

Find out what the national and international press are talking about and how the term isomorphism is used in the context of the following news items.
1
Deciding when to stop: efficient experimentation to learn to predict …
... maximal common subgraph isomorphism. Other tools to compute the similarity between drugs are included in the OpenBabel package [31]. «BMC Blogs Network, Jul 15»
2
Non-violence: Examples would show effectiveness
I wonder how many Missoulians understand the isomorphism between shooting pit bulls and shooting teenagers who stumble into garages ... «The Missoulian, Jun 15»
3
Will Computers Redefine the Roots of Math?
... consisting of all the different ways of demonstrating the isomorphism (which in this case is two). There are often good reasons in mathematics ... «Wired, Jun 15»
4
Police: No charges for Miller Creek man who shot pit bull
I wonder how many Missoulians understand the isomorphism between shooting pit bulls and shooting teenagers who stumble into garages ... «The Missoulian, May 15»
5
College Grads Beware: Bad Word Choices That Could Sink A Job …
You took "Epistemological Origins of 20th-Century Teleology" and "Mimetic Isomorphism." But don't let "jargon monoxide," as Stanford ... «Hartford Courant, May 15»
6
Dog's death likely saved Hamilton shooting victim
I wonder how many Missoulians understand the isomorphism between shooting pit bulls and shooting teenagers who stumble into garages ... «The Missoulian, May 15»
7
What Was Art of the 1990s All About?
... strict isomorphism, marginalized communities continue to find themselves at the whims of the dominant cultural and aesthetic imagination. «Hyperallergic, May 15»
8
World Vision and the Middle East
Of course there is not a one-to-one isomorphism between what happened in Africa during the 1980s and 90s and World Vision's behavior in ... «Committee for Accuracy in Middle East Reporting in America, Apr 15»
9
Our Colleges and Universities are Suffering from Double Myopia
... and specifically how the isomorphism it engenders is pernicious given the great diversity of the system. With many more institutions serving ... «Forbes, Apr 15»
10
Attorneys to request delay in civil suit against Markus Kaarma
I wonder how many Missoulians understand the isomorphism between shooting pit bulls and shooting teenagers who stumble into garages ... «The Missoulian, Apr 15»

REFERENCE
« EDUCALINGO. Isomorphism [online]. Available <https://educalingo.com/en/dic-en/isomorphism>. Jun 2019 ».
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