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Meaning of "monomorphism" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF MONOMORPHISM

monomorphism  [mɒnəʊˈmɔːfɪzəm] play
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GRAMMATICAL CATEGORY OF MONOMORPHISM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Monomorphism 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 MONOMORPHISM MEAN IN ENGLISH?

Monomorphism

In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from X to Y is often denoted with the notation. In the more general setting of category theory, a monomorphism is a left-cancellative morphism, that is, an arrow f : XY such that, for all morphisms g1, g2 : ZX, Monomorphisms are a categorical generalization of injective functions; in some categories the notions coincide, but monomorphisms are more general, as in the examples below. The categorical dual of a monomorphism is an epimorphism, i.e. a monomorphism in a category C is an epimorphism in the dual category Cop. Every section is a monomorphism, and every retraction is an epimorphism.

Definition of monomorphism in the English dictionary

The first definition of monomorphism in the dictionary is the fact of showing little or no change in structure during the entire life history. Other definition of monomorphism is the fact of existing or having parts that exist in only one form. Monomorphism is also the fact of having only one crystalline form.

WORDS THAT RHYME WITH MONOMORPHISM


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

WORDS THAT BEGIN LIKE MONOMORPHISM

monomaniacal
monomaniacally
monomark
monomer
monomeric
monomerous
monometallic
monometallism
monometallist
monometer
monometric
monometrical
monomial
monomode
monomolecular
monomolecularly
monomorphemic
monomorphic
monomorphous
monomyarian

WORDS THAT END LIKE MONOMORPHISM

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 monomorphism in the English dictionary of synonyms

SYNONYMS

Translation of «monomorphism» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MONOMORPHISM

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

Translator English - Chinese

单态
1,325 millions of speakers

Translator English - Spanish

monomorfismo
570 millions of speakers

English

monomorphism
510 millions of speakers

Translator English - Hindi

monomorphism
380 millions of speakers
ar

Translator English - Arabic

أحاد الشكل
280 millions of speakers

Translator English - Russian

мономорфизм
278 millions of speakers

Translator English - Portuguese

monomorphism
270 millions of speakers

Translator English - Bengali

monomorphism
260 millions of speakers

Translator English - French

monomorphisme
220 millions of speakers

Translator English - Malay

Monomorphism
190 millions of speakers

Translator English - German

Monomorphismus
180 millions of speakers

Translator English - Japanese

単射
130 millions of speakers

Translator English - Korean

monomorphism
85 millions of speakers

Translator English - Javanese

Monomorphism
85 millions of speakers
vi

Translator English - Vietnamese

monomorphism
80 millions of speakers

Translator English - Tamil

monomorphism
75 millions of speakers

Translator English - Marathi

मोनोमोर्फिझम
75 millions of speakers

Translator English - Turkish

monomorfizm
70 millions of speakers

Translator English - Italian

monomorphism
65 millions of speakers

Translator English - Polish

monomorphism
50 millions of speakers

Translator English - Ukrainian

мономорфизм
40 millions of speakers

Translator English - Romanian

monomorfism
30 millions of speakers
el

Translator English - Greek

monomorphism
15 millions of speakers
af

Translator English - Afrikaans

monomorphism
14 millions of speakers
sv

Translator English - Swedish

monomorphism
10 millions of speakers
no

Translator English - Norwegian

monomorphism
5 millions of speakers

Trends of use of monomorphism

TRENDS

TENDENCIES OF USE OF THE TERM «MONOMORPHISM»

The term «monomorphism» is normally little used and occupies the 132.794 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 «monomorphism» in the different countries.
Principal search tendencies and common uses of monomorphism
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «monomorphism».

FREQUENCY OF USE OF THE TERM «MONOMORPHISM» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MONOMORPHISM»

Discover the use of monomorphism in the following bibliographical selection. Books relating to monomorphism and brief extracts from same to provide context of its use in English literature.
1
Real World Haskell: Code You Can Believe In
The Dreaded Monomorphism Restriction The Haskell 98 standard has a subtle feature that can sometimes bite us in unexpected circumstances. Here's a simple function definition that illustrates the issue: -- file: ch06/Monomorphism.hs ...
Bryan O'Sullivan, John Goerzen, Donald Bruce Stewart, 2008
2
Handbook of Game Theory with Economic Applications
[Cl Cl The proof of 14 reveals additional stability properties of a monomorphism whose phenotype is an ESS p. Consider a specification (G, U, U,,) of (23) and let U be the monomorphism of genotype p. We say that a population state c is nearer  ...
Robert J. Aumann, Sergiu Hart, 1994
3
Lectures and Exercises on Functional Analysis
The following definition distinguishes just the "good" ones. Definition 2. A morphism <p : X — > Y in 1C is called a monomorphism if <pi[>i = <pfa always implies ipi = ip2. A morphism is called an epimorphism if it is a monomorphism in the dual ...
Александр Яковлевич Хелемский
4
Canadian Mathematical Bulletin
A map in a category is called a regular monomorphism if it is the equalizer of a pair of maps. If its cokernel pair exists, it is the equalizer of them. A map is called a universal regular monomorphism if its pushout with every map with the same ...
5
Encyclopaedia of Mathematics
Kernel of a morphism in a category) is a normal monomorphism. The converse is not true, in general; however, if cokernels (cf. Cokemel) of morphisms exist in &, then every normal monomorphism turns out to be the kernel of its cokemel.
Michiel Hazewinkel, 1990
6
Categories of Modules Over Endomorphism Rings
Proof: (a) Assume j is an A-monomorphism in (Va)0, and choose a monomor- phism j in M0(Va) such that qa(j) = j. By 4.2.4 i — ha(j) is a monomorphism in (Ta) 0 such that ta(i) = J, and by 3.1.10 T^ = q^, so that j = cut^i) = Ta(i). Conversely ...
Theodore G. Faticoni, 1993
7
An Introduction to Abstract Algebra
Monomorphisms A homomorphism that is 1-1 is known as a monomorphism. Thus in a monomorphism different objects always have different images: in other words gd = g'd => g = g'. The simplest way of testing for monomorphisms is by ...
Frederick Michael Hall, 1966
8
Categories and Sheaves
(a) u : A — » B is a local monomorphism. (b) for any diagram U =1 A — F B with U S C such that the two compositions coincide, there exists a local epimorphism S U such that the two compositions S U =1 A coincide, (c) for any diagram Z =4 A  ...
Masaki Kashiwara, Pierre Schapira, 2006
9
Sexual Selection
Monomorphism. The sexes are similar in many monogamous species, for a number of possible reasons. One is that sexual selection is so weak compared to counteracting natural selection that no secondary sex differences have evolved.
M. B. Andersson, 1994
10
Linear Algebra
A morphism to which is an epimorphism, monomorphism or isomorphism of the space K' into the space K", as defined in Sec. 2.71, is called an epimorphism, monomorphism or isomorphism of the algebra K' into the algebra K", provided ...
Georgiĭ Evgenʹevich Shilov, 1977

3 NEWS ITEMS WHICH INCLUDE THE TERM «MONOMORPHISM»

Find out what the national and international press are talking about and how the term monomorphism is used in the context of the following news items.
1
Conservatism and novelty in the genetic architecture of adaptation in …
The heterogeneity in selection regimes shaping Heliconius wing patterns, that is, local monomorphism under directional selection versus ... «Nature.com, Mar 15»
2
Staub, science and salamanders
She studies the evolution of sexual dimorphism and monomorphism in various salamander species. Staub researches how salamanders send ... «Bulletin, Feb 15»
3
Ornithologists Map Family Tree of Mysterious Cotinga Birds
... while females are placed more interior; sexual monomorphism is indicated by the presence of only a single illustration at a given terminal; ... «Sci-News.com, Oct 14»

REFERENCE
« EDUCALINGO. Monomorphism [online]. Available <https://educalingo.com/en/dic-en/monomorphism>. Dec 2019 ».
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