Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Fourier Series |
Fourier SeriesNoun1. The sum of a series of trigonometric expressions; used in the analysis of periodic functions. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
| Domain | Definitions |
Aerospace | The representation of a function f(x) in an interval (-L, L) by a series consisting of sines and cosines with a common period 2L, in the form, where the Fourier coefficients are defined as and When f(x) is an even function, only the cosine terms appear; when f(x) is odd, only the sine terms appear. The conditions on f(x) guaranteeing convergence of the series are quite general, and the series may serve as a root-mean-square approximation even when it does not converge. If the function is defined on an infinite interval and is not periodic, it is represented by the Fourier integral. By either representation, the function is decomposed into periodic components whose frequencies constitute the spectrum of the function. The Fourier series employs a discrete spectrum of wavelengths 2 L / n(n = 1,2,..); the Fourier integral requires a continuous spectrum.See Fourier transform. (references) |
Electrical Engineering | Series of terms representing the function, consisting of its mean value and sinusoidal terms having frequencies that are integral multiples of the frequency of the function, the multiple constituting the order of the term. Source: European Union. (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
In mathematics, a Fourier series, named in honor of Joseph Fourier, is a representation of a periodic function as a sum of periodic functions of the form
A partial answer is that if f is square-integrable then
See also: Fourier transform, harmonic analysis, Gibbs phenomenon.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Fourier series."
Crosswords: Fourier Series |
| Specialty definitions using "Fourier series": Fourier coefficients, Fourier integral ♦ harmonic component. (references) |
| Domain | Title |
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Source: compiled by the editor from various references; see credits. | |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Expression | Frequency per Day |
fourier series | 60 |
de fourier series | 45 |
application fourier series | 6 |
de fourier series trigonometrica | 4 |
de exponencial fourier series | 4 |
de fourier series uso | 3 |
fourier series used where | 2 |
| Source: compiled by the editor from various references; see credits. | |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "e-e-e-f-i-i-o-r-r-r-s-s-u" | |
-3 letters: furrieries. | |
-4 letters: foreseers. | |
-5 letters: ferreous, foreseer, foresees, friseurs, furriers, orreries, ossifier, refusers, reifiers, reissuer, roseries, surefire. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
Hexadecimal (or equivalents, 770AD-1900s) (references)46 6F 75 72 69 65 72 53 65 72 69 65 73 |
| Leonardo da Vinci (1452-1519; backwards) (references)
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Binary Code (1918-1938, probably earlier) (references)01000110 01101111 01110101 01110010 01101001 01100101 01110010 00100000 01010011 01100101 01110010 01101001 01100101 01110011 |
HTML Code (1990) (references)F o u r i e r   S e r i e s |
ISO 10646 (1991-1993) (references)0046 006F 0075 0072 0069 0065 0072 0053 0065 0072 0069 0065 0073 |
Encryption (beginner's substitution cypher): (references)408187847571842537184757185 |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Commercial | 5. Expressions: Internet 6. Anagrams 7. Orthography 8. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
| Note to the press & webmasters - this dictionary can be linked, indexed, or referred to using the following non-English expressions: woordeboek, fjalor, معجم, قاموس, diccionariu, речник, diccionari, diksyonario, diksinario, 字典, gérlyver, slovník, ordbog, woordenboek, shimiyuc p'anca, orðabók, orðbók, dictionnaire, wurdboek, wörterbuch, λεξικό, אוצר מילים, szótár, uqausiit tukingit, dizionario, 字引 , じい, じびき, じて", ディクショナリー , じり", じしょ, '"かい, ディクショナリ , 사 , dizionari, recnik, fockleyr, dikshonario, słownik, dicionário, dicţionar, dicziunari, словарь, lolomi fefiloi, foclair, abardair, faclair, briathrachan, pukuntau, leksikon, rečnik, vocabbulariu, diccionario, sí-chazamagâma, ordbok, lexikon, พจนานุกรม, sözlük, ansiklopedik sözlük, словник, довідник, có tính chất sách vở, geirlyfr, geiriadur, for dictionary; definisie, qartësi, përcaktim, saktësi, الوضوحية في الشيء, حد, تحديد, تعريف, التحديد, الإيضاحية, яснота, сила, очертания, дефиниция, 定義 , 定义, definice, deskriptordefinition, definitie, määritelmä, définition, ορισμός, "'"ר", "'בל", meghatározás, definíció, definizione, 確定 , ディーゼル電気車 , デ'ドロ酢酸 , デフィニション , ディフィニション , ていぎ, かくてい, 의, geyrid, meenaghey, keeayllaght, baght, definishon, definição, definiţie, determinare, definire, определение, definicija, definición, definition, açıklama, belirleme, belirtme, kesinleştirme, tanım, tarif, seçiklik, tanımlama, чіткість, тлумачення, виразність, визначення, дефініція, ясність, чітка чутність, sự định rõ, sự định nghĩa, lời định nghĩa sự định, diffiniad, darnodiad, for definition; vertaling, transferim, transmetim, ترجمة من لغة أجنبية للغة الأم, ترجمة, إفتتان, транслация, огъване, превод, предаване, поддаване, тълкуване, превеждане, 翻译, překlad, oversættelse, translatie, taajuusmuutos, translaatio, traduction, oersetting, Übersetzung, μετάφραση, תור'מ ות, תר'ום, "עתק", "עתק, fordítás, traduzione, 翻訳 , へい"ういどう, やくしょ, やくしゅつ, "うどく, ほ"やく, トランスレーション , やくじゅつ, ほ"やくしょ, 번역, tradukshon, tradução, translaţie, tãlmãcire, traducere, сдвиг, трансляция, перемещение, перевод, tumačenje, traducción, översättning, tercüme, процес перекладу, переклад, пояснення, переміщення, sự dịch, sự biến th nh sự giải thích, trosiad, for translation; |
