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Meaning of "functional calculus" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF FUNCTIONAL CALCULUS

functional calculus play
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GRAMMATICAL CATEGORY OF FUNCTIONAL CALCULUS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Functional calculus 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 FUNCTIONAL CALCULUS MEAN IN ENGLISH?

Functional calculus

In mathematics, a functional calculus is a theory allowing one to apply mathematical functions to mathematical operators. It is now a branch of the field of functional analysis, connected with spectral theory. If f is a function, say a numerical function of a real number, and M is an operator, there is no particular reason why the expression f should make sense. If it does, then we are no longer using f on its original function domain. In the tradition of operational calculus, algebraic expressions in operators are handled irrespective of their meaning. This passes nearly unnoticed if we talk about 'squaring a matrix', though, which is the case of f = x2 and M an n×n matrix. The idea of a functional calculus is to create a principled approach to this kind of overloading of the notation. The most immediate case is to apply polynomial functions to a square matrix, extending what has just been discussed. In the finite-dimensional case, the polynomial functional calculus yields quite a bit of information about the operator.

WORDS THAT BEGIN LIKE FUNCTIONAL CALCULUS

function room
function shift
function suite
function word
functional
functional disease
functional food
functional group
functional illiteracy
functional illiterate
functional water
functionalism
functionalist
functionalistic
functionalitities
functionality
functionally
functionaries
functionary
functionate

WORDS THAT END LIKE FUNCTIONAL CALCULUS

calculus
canaliculus
colliculus
differential calculus
Diodorus Siculus
dracunculus
fasciculus
funiculus
homunculus
infinitesimal calculus
integral calculus
lambda calculus
oculus
precalculus
predicate calculus
propositional calculus
proventriculus
ranunculus
sacculus
stimulus
ventriculus

Synonyms and antonyms of functional calculus in the English dictionary of synonyms

SYNONYMS

Translation of «functional calculus» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF FUNCTIONAL CALCULUS

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

Translator English - Chinese

功能性结石
1,325 millions of speakers

Translator English - Spanish

cálculo funcional
570 millions of speakers

English

functional calculus
510 millions of speakers

Translator English - Hindi

कार्यात्मक पथरी
380 millions of speakers
ar

Translator English - Arabic

حساب التفاضل والتكامل الوظيفي
280 millions of speakers

Translator English - Russian

функциональное исчисление
278 millions of speakers

Translator English - Portuguese

cálculo funcional
270 millions of speakers

Translator English - Bengali

কার্যকরী ক্যালকুলাস
260 millions of speakers

Translator English - French

fonctionnelle
220 millions of speakers

Translator English - Malay

Kalkulus fungsian
190 millions of speakers

Translator English - German

Funktionalkalkül
180 millions of speakers

Translator English - Japanese

関数計算
130 millions of speakers

Translator English - Korean

기능 미적분
85 millions of speakers

Translator English - Javanese

Kalkulus fungsional
85 millions of speakers
vi

Translator English - Vietnamese

tính toán chức năng
80 millions of speakers

Translator English - Tamil

செயல்பாட்டு கால்குலஸ்
75 millions of speakers

Translator English - Marathi

कार्यशील कॅलक्यूस
75 millions of speakers

Translator English - Turkish

Fonksiyonel hesap
70 millions of speakers

Translator English - Italian

calcolo funzionale
65 millions of speakers

Translator English - Polish

Rachunek funkcjonalny
50 millions of speakers

Translator English - Ukrainian

функціональне числення
40 millions of speakers

Translator English - Romanian

calcul funcțional
30 millions of speakers
el

Translator English - Greek

λειτουργική λογισμός
15 millions of speakers
af

Translator English - Afrikaans

funksionele calculus
14 millions of speakers
sv

Translator English - Swedish

funktionell tandsten
10 millions of speakers
no

Translator English - Norwegian

funksjonelle kalkulus
5 millions of speakers

Trends of use of functional calculus

TRENDS

TENDENCIES OF USE OF THE TERM «FUNCTIONAL CALCULUS»

The term «functional calculus» is normally little used and occupies the 146.525 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
32
/100
The map shown above gives the frequency of use of the term «functional calculus» in the different countries.
Principal search tendencies and common uses of functional calculus
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «functional calculus».

FREQUENCY OF USE OF THE TERM «FUNCTIONAL CALCULUS» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FUNCTIONAL CALCULUS»

Discover the use of functional calculus in the following bibliographical selection. Books relating to functional calculus and brief extracts from same to provide context of its use in English literature.
1
Noncommutative Functional Calculus: Theory and Applications ...
This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non ...
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, 2011
2
Concrete Functional Calculus
For nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation, existence and uniqueness of solutions are proved under suitable assumptions.Key features and topics:* Extensive usage of p ...
R. M. Dudley, R. Norvaiša, 2010
3
The Functional Calculus for Sectorial Operators
This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators.
Markus Haase, 2006
4
Functional Calculus of Pseudodifferential Boundary Problems
The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction.
Gerd Grubb, 1996
5
The Absolute Functional Calculus for Sectorial Operators
We introduce the absolute functional calculus for sectorial operators.
Tamara Kucherenko, 2005
6
Partial Differential Equations and Functional Analysis: The ...
The diversity of applications and examples led to more general questions about the H∞-calculus. Can we construct a joint functional calculus for (non-) commuting operators? Are there general criteria for the boundedness of the H∞- calculus, ...
Erik Koelink, Jan M.A.M. van Neerven, Ben de Pagter, 2006
7
A Course in Commutative Banach Algebras
The single-variable holomorphic functional calculus associates with a complex- valued function f, which is defined and holomorphic in a neighbourhood of the spectrum of an element x of A, an element f(x) of A. This calculus and the properties ...
Eberhard Kaniuth, 2008
8
A Course in Functional Analysis
Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.
John B. Conway, 1990
9
Operator Theory and Arithmetic in H [infinity]
Section 1 describes first the functional calculus for general completely nonunitary contractions T. This is a homomorphism h ,— * h(T) defined for h in H°° . T is an operator of class Co if this homomorphism has nontrivial kernel. It is shown that ...
Hari Bercovici
10
Spectral Properties of Noncommuting Operators
for two functions /. g belonging to the domain of the functional calculus. In the case of a selfadjoint operator A, the domain of the functional calculus defined by formula (1.3) is the Banach algebra LX(PA) under pointwise multiplication. For two ...
Brian Jefferies, 2004

2 NEWS ITEMS WHICH INCLUDE THE TERM «FUNCTIONAL CALCULUS»

Find out what the national and international press are talking about and how the term functional calculus is used in the context of the following news items.
1
Buy the Ticket, Fake the Ride: A Tech Scientist Devises a Means to …
Read through Haque's paper and you'll discover functional calculus, graphs on the Cartesian plane eerily resembling footballs, and exhaustive analysis of ... «SF Weekly, Mar 14»
2
William Charles Ramaley
He wrote two textbooks, Functional Calculus and Applied Calculus, which were published in 1995. While at Colorado College, he became ... «The Durango Herald, Jun 13»

REFERENCE
« EDUCALINGO. Functional calculus [online]. Available <https://educalingo.com/en/dic-en/functional-calculus>. May 2024 ».
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