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Meaning of "Fourier analysis" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD FOURIER ANALYSIS

Named after Baron Jean Baptiste Joseph Fourier (1768–1830), French mathematician, Egyptologist, and administrator.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF FOURIER ANALYSIS

Fourier analysis  [ˈfʊərɪˌeɪ] play
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GRAMMATICAL CATEGORY OF FOURIER ANALYSIS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Fourier analysis 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 FOURIER ANALYSIS MEAN IN ENGLISH?

Fourier analysis

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into simpler pieces is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. In mathematics, the term Fourier analysis often refers to the study of both operations. The decomposition process itself is called a Fourier transform. The transform is often given a more specific name, which depends upon the domain and other properties of the function being transformed. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis.

Definition of Fourier analysis in the English dictionary

The definition of Fourier analysis in the dictionary is the analysis of a periodic function into its simple sinusoidal or harmonic components, whose sum forms a Fourier series.

WORDS THAT RHYME WITH FOURIER ANALYSIS


Benue
ˈbɛnʊˌeɪ
boulevardier
buːlˈvɑːdɪˌeɪ
couturier
kuːˈtʊərɪˌeɪ
denier
ˈdɛnɪˌeɪ
dossier
ˈdɒsɪˌeɪ
Fourier
ˈfʊərɪˌeɪ
millier
ˈmɪlɪˌeɪ
Olivier
əˈlɪvɪˌeɪ
tatouay
ˈtætʊˌeɪ

WORDS THAT BEGIN LIKE FOURIER ANALYSIS

Fourdrinier
fourfold
fourfoldness
fourgon
Fourier
Fourier series
Fourier transform
Fourierism
Fourierist
Fourieristic
Fourierite
Fournier

WORDS THAT END LIKE FOURIER ANALYSIS

analysis
blot analysis
catalysis
cost analysis
cost-benefit analysis
dialysis
electrolysis
factor analysis
fibrinolysis
hemoptysis
hydrolysis
in the last analysis
lysis
market analysis
numerical analysis
paralysis
psychoanalysis
quantitative analysis
sales analysis
self-analysis
systems analysis

Synonyms and antonyms of Fourier analysis in the English dictionary of synonyms

SYNONYMS

Translation of «Fourier analysis» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF FOURIER ANALYSIS

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

Translator English - Chinese

傅立叶分析
1,325 millions of speakers

Translator English - Spanish

análisis de Fourier
570 millions of speakers

English

Fourier analysis
510 millions of speakers

Translator English - Hindi

फूरियर विश्लेषण
380 millions of speakers
ar

Translator English - Arabic

تحليل فورييه
280 millions of speakers

Translator English - Russian

анализ Фурье
278 millions of speakers

Translator English - Portuguese

A análise de Fourier
270 millions of speakers

Translator English - Bengali

ফুরিয়ার বিশ্লেষণ
260 millions of speakers

Translator English - French

L´analyse de Fourier
220 millions of speakers

Translator English - Malay

Analisis Fourier
190 millions of speakers

Translator English - German

Fourier-Analyse
180 millions of speakers

Translator English - Japanese

フーリエ解析
130 millions of speakers

Translator English - Korean

푸리에 분석
85 millions of speakers

Translator English - Javanese

Analisis kaping papat
85 millions of speakers
vi

Translator English - Vietnamese

phân tích Fourier
80 millions of speakers

Translator English - Tamil

ஃபோரியர் பகுப்பாய்வு
75 millions of speakers

Translator English - Marathi

फूरियर विश्लेषण
75 millions of speakers

Translator English - Turkish

Fourier analizi
70 millions of speakers

Translator English - Italian

analisi di Fourier
65 millions of speakers

Translator English - Polish

analiza Fouriera
50 millions of speakers

Translator English - Ukrainian

аналіз Фур´є
40 millions of speakers

Translator English - Romanian

analiza Fourier
30 millions of speakers
el

Translator English - Greek

ανάλυση Fourier
15 millions of speakers
af

Translator English - Afrikaans

Fourier analise
14 millions of speakers
sv

Translator English - Swedish

Fourieranalys
10 millions of speakers
no

Translator English - Norwegian

Fourier -analyse
5 millions of speakers

Trends of use of Fourier analysis

TRENDS

TENDENCIES OF USE OF THE TERM «FOURIER ANALYSIS»

The term «Fourier analysis» is regularly used and occupies the 97.264 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
55
/100
The map shown above gives the frequency of use of the term «Fourier analysis» in the different countries.
Principal search tendencies and common uses of Fourier analysis
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Fourier analysis».

FREQUENCY OF USE OF THE TERM «FOURIER ANALYSIS» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FOURIER ANALYSIS»

Discover the use of Fourier analysis in the following bibliographical selection. Books relating to Fourier analysis and brief extracts from same to provide context of its use in English literature.
1
Fourier Analysis: An Introduction
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis.
Elias M. Stein, Rami Shakarchi, 2011
2
Fourier Analysis
The author has provided a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications.
T. W. Körner, 1989
3
Introduction to Fourier Analysis
Comprehensive, user friendly, and pedagoicaly structured ... a fast, easy way to learn, about the electrical engineer's most important mathematical tool Based on a groundbreaking one-semester course originated by Professor Norman Morrison ...
Norman Morrison, 1994
4
An Introduction to Fourier Analysis and Generalised Functions
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
M. J. Lighthill, 1958
5
A First Course in Wavelets with Fourier Analysis
The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis.
Albert Boggess, Francis J. Narcowich, 2011
6
Fourier Analysis
Systematic and comprehensive, the book: Presents material using a cause-and-effect approach, illustrating where ideas originated and what necessitated them Includes material on wavelets, Lebesgue integration, L2 spaces, and related concepts ...
Eric Stade, 2011
7
Fourier Analysis of Time Series: An Introduction
The Second Edition: * Devotes an entire chapter to complex demodulation * Treats harmonic regression in two separate chapters * Features a more succinct discussion of the fast Fourier transform * Uses S-PLUS commands (replacing FORTRAN) to ...
Peter Bloomfield, 2004
8
Fourier Analysis and Applications: Filtering, Numerical ...
The object of this book is two-fold - on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations.
Claude Gasquet, Patrick Witomski, 1999
9
Fourier Analysis on Groups
In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups.
Walter Rudin, 2011
10
Principles of Fourier Analysis
They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas. Principles of Fourier Analysis furnishes all this and more.
Kenneth B. Howell, 2001

10 NEWS ITEMS WHICH INCLUDE THE TERM «FOURIER ANALYSIS»

Find out what the national and international press are talking about and how the term Fourier analysis is used in the context of the following news items.
1
Optical Metrology Solutions: The Future of Metrology
Applying Fourier analysis to the data converts it into the spatial frequency domain, making it possible to create an accurate representation. «Quality Magazine, Jul 15»
2
Department outreach fuels passion for math
This year's topics were: introduction of combinatorics, algebraic obstructions in topology and fourier analysis. After an eight-week seminar on ... «Cornell Chronicle, Jun 15»
3
From triangles to computer graphics
Fourier analysis, which was developed as part of calculus in the late 1700s, provides the basic mathematical tools for signal processing in ... «ABC Science Online, Jun 15»
4
Solar cycles, geomagnetic effects may be linked to giant cell arteritis …
Fourier analysis was used to calculate frequencies or periodicities present between 1966 and 2004. The incidence of GCA on a 3-year moving ... «Healio, May 15»
5
Fully automatic evaluation of the corneal endothelium from in vivo …
Foracchia M, Ruggeri A. Automatic estimation of endothelium cell density in donor corneas by means of Fourier analysis. Med Biol Eng Comput ... «BMC Blogs Network, Apr 15»
6
Do stars make sounds?
In the sonification process, those inaudible frequencies are analyzed by a mathematical technique called fourier analysis and then scaled to ... «EarthSky, Mar 15»
7
Validation of overnight oximetry to diagnose patients with moderate …
... (CAP), and non-CAP based on the Fourier analysis of R-R interval series and its associated ECG-derived respiration (EDR) signal [45]. «BMC Blogs Network, Mar 15»
8
Reaction Time: Commodity Price Cycles
The top blue line is the actual price of SLB, and the bottom red line is an amalgam, utilizing Fourier analysis, of the many combined cycles that ... «Oil and Gas Investor, Mar 15»
9
Cédric Villani: 'Mathematics is about progress and adventure and …
Fourier analysis was invented at the beginning of the 19th century and it was just a theory. Just a theory about the contradictions of heat and ... «The Guardian, Mar 15»
10
Engineering's cycle of curiosity, tools, imagination and learning
It's not enough to just know the tools: Fourier analysis, Laplace transforms, statics and dynamics, circuits and systems, fluid dynamics or the ... «Lehigh Valley Business, Feb 15»

REFERENCE
« EDUCALINGO. Fourier analysis [online]. Available <https://educalingo.com/en/dic-en/fourier-analysis>. Apr 2024 ».
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