The adjective is the word that accompanies the noun to determine or qualify it.
WHAT DOES HOLOMORPHIC MEAN IN ENGLISH?
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.
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.
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
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.
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
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
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
From Holomorphic Functions to Complex Manifolds
This book is an introduction to the theory of complex manifolds.
Klaus Fritzsche, Hans Grauert, 2002
Holomorphic Functions of Several Variables: An Introduction ...
Holomorphic Functions Of Several Variables (De Gruyter Studies In Mathematics).
Holomorphic Functions and Integral Representations in ...
The subject of this book is Complex Analysis in Several Variables.
R. Michael Range, 1986
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
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
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
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.
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»
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»
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»
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»
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»
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»
(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»
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»
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»
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»
« EDUCALINGO. Holomorphic [online]. Available <https://educalingo.com/en/dic-en/holomorphic>. Jul 2020 ».