Educalingo cookies are used to personalize ads and get web traffic statistics. We also share information about the use of the site with our social media, advertising and analytics partners.
Got it
Search

Meaning of "holomorphic" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF HOLOMORPHIC

holomorphic  [ˌhɒləˈmɔːfɪk] play
facebooktwitterpinterestwhatsapp

GRAMMATICAL CATEGORY OF HOLOMORPHIC

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

WHAT DOES HOLOMORPHIC MEAN IN ENGLISH?

Holomorphic function

In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain. The existence of a complex derivative in a neighborhood is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal to its own Taylor series. The term analytic function is often used interchangeably with “holomorphic function”, although the word “analytic” is also used in a broader sense to describe any function that can be written as a convergent power series in a neighborhood of each point in its domain. The fact that the class of complex analytic functions coincides with the class of holomorphic functions is a major theorem in complex analysis. Holomorphic functions are also sometimes referred to as regular functions or as conformal maps. A holomorphic function whose domain is the whole complex plane is called an entire function.

WORDS THAT RHYME WITH HOLOMORPHIC


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

WORDS THAT BEGIN LIKE HOLOMORPHIC

holography
hologynic
hologyny
holohedra
holohedral
holohedrism
holohedron
holometabolic
holometabolism
holometabolous
holon
holonic
holophotal
holophote
holophrase
holophrastic
holophyte
holophytic
holoplankton
holoptic

WORDS THAT END LIKE HOLOMORPHIC

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 holomorphic in the English dictionary of synonyms

SYNONYMS

Translation of «holomorphic» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HOLOMORPHIC

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

Translator English - Chinese

全纯
1,325 millions of speakers

Translator English - Spanish

holomorfa
570 millions of speakers

English

holomorphic
510 millions of speakers

Translator English - Hindi

holomorphic
380 millions of speakers
ar

Translator English - Arabic

holomorphic
280 millions of speakers

Translator English - Russian

голоморфной
278 millions of speakers

Translator English - Portuguese

holomorfa
270 millions of speakers

Translator English - Bengali

holomorphic
260 millions of speakers

Translator English - French

holomorphe
220 millions of speakers

Translator English - Malay

Holomorfik
190 millions of speakers

Translator English - German

holomorphe
180 millions of speakers

Translator English - Japanese

正則な
130 millions of speakers

Translator English - Korean

holomorphic
85 millions of speakers

Translator English - Javanese

Holomorphic
85 millions of speakers
vi

Translator English - Vietnamese

Holomorphic
80 millions of speakers

Translator English - Tamil

மடுப்பு
75 millions of speakers

Translator English - Marathi

होलोमोर्फिक
75 millions of speakers

Translator English - Turkish

holomorfik
70 millions of speakers

Translator English - Italian

olomorfa
65 millions of speakers

Translator English - Polish

holomorficzna
50 millions of speakers

Translator English - Ukrainian

голоморфної
40 millions of speakers

Translator English - Romanian

olomorfă
30 millions of speakers
el

Translator English - Greek

holomorphic
15 millions of speakers
af

Translator English - Afrikaans

holomorfe
14 millions of speakers
sv

Translator English - Swedish

holomorf
10 millions of speakers
no

Translator English - Norwegian

holomorfe
5 millions of speakers

Trends of use of holomorphic

TRENDS

TENDENCIES OF USE OF THE TERM «HOLOMORPHIC»

The term «holomorphic» is regularly used and occupies the 69.126 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
68
/100
The map shown above gives the frequency of use of the term «holomorphic» in the different countries.
Principal search tendencies and common uses of holomorphic
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «holomorphic».

FREQUENCY OF USE OF THE TERM «HOLOMORPHIC» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HOLOMORPHIC»

Discover the use of holomorphic in the following bibliographical selection. Books relating to holomorphic and brief extracts from same to provide context of its use in English literature.
1
Holomorphic Dynamics
This book, first published in 2000, is a graduate text on complex analytic dynamics - the mathematics behind things like the Mandelbrot set.
S. Morosawa, 2000
2
Spaces of Holomorphic Functions in the Unit Ball
The book presents a modern theory of holomorphic function spaces in the open unit ball.
Kehe Zhu, 2006
3
Stein Manifolds and Holomorphic Mappings: The Homotopy ...
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds.
Franc Forstnerič, 2011
4
From Holomorphic Functions to Complex Manifolds
This book is an introduction to the theory of complex manifolds.
Klaus Fritzsche, Hans Grauert, 2002
5
Holomorphic Functions of Several Variables: An Introduction ...
Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics).
‎1983
6
Holomorphic Functions and Integral Representations in ...
The subject of this book is Complex Analysis in Several Variables.
R. Michael Range, 1986
7
Holomorphic Spaces
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
Sheldon Jay Axler, John E. McCarthy, Donald Sarason, 1998
8
Algebraic Surfaces and Holomorphic Vector Bundles
The goal of this book is to provide a unified introduction to the study of algebraic surfaces and of holomorphic vector bundles on them.
Robert Friedman, 1998
9
Gromov's Compactness Theorem for Pseudo-Holomorphic Curves
Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail.
Christoph Hummel, 1997
10
Extension of Holomorphic Functions
Jarnicki (mathematics, Jagiellonian U.) and Pflug (mathematics, Carl von Ossietzky U.) investigate domains of holomorphy for special classes of holomorphic functions on special types of domains.
Marek Jarnicki, Peter Pflug, 2000

10 NEWS ITEMS WHICH INCLUDE THE TERM «HOLOMORPHIC»

Find out what the national and international press are talking about and how the term holomorphic is used in the context of the following news items.
1
Battelle and partner evaluate smart grid technology for deep space …
Battelle said that the Holomorphic Embedding Load-Flow Method (HELM) algorithm is designed to facilitate reliable operation of deep-space ... «Aerospace Technology, Jul 15»
2
Crash course for Johnny Football: Learning how to be the Browns …
It was titled "Characterization of the Set of Asymptotic Values of a Function Holomorphic in the Unit Disc." Graham, on the other hand, is in the ... «SB Nation, Aug 14»
3
IUPUI mathematician receives prestigious NSF Early Career …
One venue for such simpler models is the iteration of holomorphic maps, the topic of my NSF-supported research." According to Roeder ... «EurekAlert, Jul 14»
4
A day at Genius Camp: getting dumb in Einstein's paradise
Holomorphic modular forms. A partition of a positive integer n. Ramanujan congruences. I always had a knack for math, but my AP algebra ... «The Verge, Oct 13»
5
Former Cleveland Browns QB Frank Ryan marvels at CWRU …
The title of his doctoral thesis was "Characterization of the Set of Asymptotic Values of a Function Holomorphic in the Unit Disc." Asked to ... «Plain Dealer, Sep 13»
6
Cleveland Browns' 100 best all-time players: No. 23, Frank Ryan …
The title of his doctoral thesis was "Characterization of the Set of Asymptotic Values of a Function Holomorphic in the Unit Disc." The Los ... «Plain Dealer, Jul 13»
7
Ryan's Search
(Frank's Ph.D. dissertation at Rice, "Characterization of the Set of Asymptotic Values of a Function Holomorphic in the Unit Disc," pretty much ... «Sports On Earth, Jul 13»
8
Small signal simulation in the s-plane
As the Laplace functions from an electrical circuit are holomorphic functions, the results of the residue theorem can be applied. When turning ... «EDN.com, Apr 13»
9
When sports stats ruin the fun
... his doctorate at Rice Institute (he wrote his thesis on "A Characterization of the Set of Asymptotic Values of a Function Holomorphic in the Unit ... «CNN, Jan 13»
10
An ABC proof too tough even for mathematicians
... universe and populated it with arcane terms like “inter-universal Teichmüller theory” and “alien arithmetic holomorphic structures.”. «Boston Globe, Nov 12»

REFERENCE
« EDUCALINGO. Holomorphic [online]. Available <https://educalingo.com/en/dic-en/holomorphic>. Jul 2020 ».
en
English dictionary
Discover all that is hidden in the words on
index
a b c d e f g h i j k l m n o p q r s t u v w x y z