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Meaning of "meromorphic" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF MEROMORPHIC

meromorphic  [ˌmɛrəʊˈmɔːfɪk] play
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GRAMMATICAL CATEGORY OF MEROMORPHIC

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Meromorphic is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES MEROMORPHIC MEAN IN ENGLISH?

Meromorphic function

In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points (the poles of the function), at each of which the function must have a Laurent series. (The terminology comes from the Ancient Greek meros (μέρος), meaning part, as opposed to holos (ὅλος), meaning whole.) Every meromorphic function on D can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D: any pole must coincide with a zero of the denominator. The Gamma function is meromorphic in the whole complex plane. Intuitively then, a meromorphic function is a ratio of two well-behaved (holomorphic) functions. Such a function will still be well-behaved, except possibly at the points where the denominator of the fraction is zero. (If the denominator has a zero at z and the numerator does not, then the value of the function will be infinite; if both parts have a zero at z, then one must compare the multiplicities of these zeros.

Definition of meromorphic in the English dictionary

The definition of meromorphic in the dictionary is designating or relating to a function that is analytic in a given domain except for a number of isolated singularities or poles.

WORDS THAT RHYME WITH MEROMORPHIC


actinomorphic
ˌæktɪnəʊˈmɔːfɪk
anamorphic
ˌænəˈmɔːfɪk
anthropomorphic
ˌænθrəpəˈmɔːfɪk
automorphic
ˌɔːtəʊˈmɔːfɪk
biomorphic
ˌbaɪəʊˈmɔːfɪk
dimorphic
daɪˈmɔːfɪk
dysmorphic
dɪsˈmɔːfɪk
geomorphic
ˌdʒiːəʊˈmɔːfɪk
holomorphic
ˌhɒləˈmɔːfɪk
homeomorphic
ˌhɒmɪəˈmɔːfɪk
homomorphic
ˌhɒməˈmɔːfɪk
hypomorphic
ˌhaɪpəˈmɔːfɪk
isomorphic
ˌaɪsəʊˈmɔːfɪk
mesomorphic
ˌmɛsəʊˈmɔːfɪk
metamorphic
ˌmɛtəˈmɔːfɪk
monomorphic
ˌmɒnəʊˈmɔːfɪk
pleomorphic
ˌpliːəˈmɔːfɪk
polymorphic
ˌpɒlɪˈmɔːfɪk
pseudomorphic
ˌsjuːdəʊˈmɔːfɪk
zoomorphic
ˌzəʊəʊˈmɔːfɪk

WORDS THAT BEGIN LIKE MEROMORPHIC

merman
mermen
meroblastic
meroblastically
merocrine
merogeneses
merogenesis
merogenetic
merogony
meroistic
meromyosin
meronym
meronymy
meropia
meropic
meropidan
meroplankton
merosome
Merovingian
merozoite

WORDS THAT END LIKE MEROMORPHIC

ectomorphic
enantiomorphic
endomorphic
ergatomorphic
geographic
homoeomorphic
hydromorphic
hystricomorphic
idiomorphic
isodimorphic
ophiomorphic
ornithomorphic
Orphic
panidiomorphic
protomorphic
skeuomorphic
theriomorphic
trimorphic
xenomorphic
xeromorphic
zygomorphic

Synonyms and antonyms of meromorphic in the English dictionary of synonyms

SYNONYMS

Translation of «meromorphic» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MEROMORPHIC

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

Translator English - Chinese

亚纯
1,325 millions of speakers

Translator English - Spanish

meromórfica
570 millions of speakers

English

meromorphic
510 millions of speakers

Translator English - Hindi

meromorphic
380 millions of speakers
ar

Translator English - Arabic

meromorphic
280 millions of speakers

Translator English - Russian

мероморфны
278 millions of speakers

Translator English - Portuguese

meromorfa
270 millions of speakers

Translator English - Bengali

meromorphic
260 millions of speakers

Translator English - French

méromorphe
220 millions of speakers

Translator English - Malay

Meromorfik
190 millions of speakers

Translator English - German

meromorphe
180 millions of speakers

Translator English - Japanese

有理型
130 millions of speakers

Translator English - Korean

meromorphic
85 millions of speakers

Translator English - Javanese

Meromorphic
85 millions of speakers
vi

Translator English - Vietnamese

meromorphic
80 millions of speakers

Translator English - Tamil

meromorphic
75 millions of speakers

Translator English - Marathi

मेरोमॉर्फिक
75 millions of speakers

Translator English - Turkish

meromorfik
70 millions of speakers

Translator English - Italian

meromorfa
65 millions of speakers

Translator English - Polish

meromorficzna
50 millions of speakers

Translator English - Ukrainian

мероморфних
40 millions of speakers

Translator English - Romanian

meromorfe
30 millions of speakers
el

Translator English - Greek

meromorphic
15 millions of speakers
af

Translator English - Afrikaans

Meromorfe
14 millions of speakers
sv

Translator English - Swedish

meromorf
10 millions of speakers
no

Translator English - Norwegian

meromorfe
5 millions of speakers

Trends of use of meromorphic

TRENDS

TENDENCIES OF USE OF THE TERM «MEROMORPHIC»

The term «meromorphic» is normally little used and occupies the 112.402 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
48
/100
The map shown above gives the frequency of use of the term «meromorphic» in the different countries.
Principal search tendencies and common uses of meromorphic
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «meromorphic».

FREQUENCY OF USE OF THE TERM «MEROMORPHIC» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MEROMORPHIC»

Discover the use of meromorphic in the following bibliographical selection. Books relating to meromorphic and brief extracts from same to provide context of its use in English literature.
1
Entire and Meromorphic Functions
This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory.
Lee A. Rubel, 1996
2
Uniqueness Theory of Meromorphic Functions
This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses.
Chung-Chun Yang, Hong-Xun Yi, 2004
3
Theory of Entire and Meromorphic Functions: Deficient and ...
This book was originally written in Chinese in 1986 by the noted complex analyst Zhang Guan-Hou, who was a research fellow at the Academia Sinica.
Guan-hou Zhang, 1993
4
Unicity of Meromorphic Mappings
Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values.
Pei-Chu Hu, Ping Li, Chung-Chun Yang, 2003
5
Meromorphic Functions over non-Archimedean Fields
In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications.
Pei-Chu Hu, Chung-Chun Yang, 2000
6
Value Distribution of Meromorphic Functions
This book focuses on meromorphic functions in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the Nevanlinna conjecture.
Jianhua Zheng, 2011
7
Meromorphic Functions and Projective Curves
This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.
Kichoon Yang, 1999
8
Fix-points and Factorization of Meromorphic Functions
Essentially a translation of the authors' Chinese mathematical monograph which was published by Peking U. Press in 1988.
Qitai Zhuang, Chʻi-tʻai Chuang, Chung-Chun Yang, 1990
9
Formal Power Series and Linear Systems of Meromorphic ...
In this book the author presents the classical theory of meromorphic systems of Ordinary Differential Equations in the new light of recent achievements in the theory of summability of formal power series.
Werner Balser, 2000
10
Complex Analysis I: Entire and Meromorphic Functions. ...
This book contains a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behavour, value distributions, degeneration, uniqueness etc.).
A.A. Gonchar, Viktor P. Havin, N.K. Nikolski, 2010

3 NEWS ITEMS WHICH INCLUDE THE TERM «MEROMORPHIC»

Find out what the national and international press are talking about and how the term meromorphic is used in the context of the following news items.
1
'Constant' Mathematician
Later he completed his Ph.D. (“Generalised multiplicative meromorphic functions on a complex manifold”) at the famous Hall of the Tata ... «The Hindu, Mar 14»
2
Who Was Nevanlinna, and What Is His Prize?
Nevanlinna studied meromorphic functions. The simplest definition of meromorphic functions is functions that can be written as the ratio of two ... «Scientific American, Sep 13»
3
Ryan's Search
On the walls hang black-and-white photographs of two of his mentors: Sir Edward Collingwood, an expert in meromorphic function and the ... «Sports On Earth, Jul 13»

REFERENCE
« EDUCALINGO. Meromorphic [online]. Available <https://educalingo.com/en/dic-en/meromorphic>. Oct 2019 ».
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