Fourier Transform, Fourier Series, and frequency spectrum

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  • Published on Sep 6, 2015
  • Fourier Series and Fourier Transform with easy to understand 3D animations.
  • Science & TechnologyScience & Technology

Comments • 1 781

  • Physics Videos by Eugene Khutoryansky

    You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
    usclip.net/user/timedtext_video?v=r18Gi8lSkfM&ref=share
    You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
    Details about adding translations is available at
    support.google.com/youtube/answer/6054623?hl=en
    Thanks.

  • Physics Videos by Eugene Khutoryansky

    To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
    --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
    --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video.
    --If you believe that the translation in the subtitles can be improved, please send me an email.

  • Fernando Encarnacao
    Fernando Encarnacao 2 days ago

    Good afternoon, we are Brazilian, here we speak Portuguese. Help us by translating the videos of this beautiful channel. Another suggestion, why do not expand the work making videos, with simulations of the movement of electronic devices, electron, bits, and the conversion of electromagnetic waves to bits.

    • Fernando Encarnacao
      Fernando Encarnacao Day ago

      @Physics Videos by Eugene Khutoryansky Obrigado.

    • Physics Videos by Eugene Khutoryansky
      Physics Videos by Eugene Khutoryansky  2 days ago

      This video already has subtitles in Portuguese. You can see these subtitles through the following steps:
      Click on the gear symbol under the video.
      Click on “subtitles.”
      Select the language.

  • Fernando Encarnacao
    Fernando Encarnacao 2 days ago

    Please do not leave us out of this great job you do. We are Brazilian, we speak Portuguese.

    • Physics Videos by Eugene Khutoryansky
      Physics Videos by Eugene Khutoryansky  2 days ago

      This video already has subtitles in Portuguese. You can see these subtitles through the following steps:
      Click on the gear symbol under the video.
      Click on “subtitles.”
      Select the language.

  • Siddhant Lokhande
    Siddhant Lokhande 4 days ago

    Music: Hungarian rhapsody no. 2 😀

  • Durgansh Sharma
    Durgansh Sharma 5 days ago

    Amazingly described

  • Durgansh Sharma
    Durgansh Sharma 5 days ago

    Amazingly described

  • sepideh majd
    sepideh majd 6 days ago

    Dose anybody know what's the name of background music???

  • Ruchita dudhatra
    Ruchita dudhatra 7 days ago

    ✌🤗nice way to understand thanq

  • 김민수
    김민수 7 days ago

    ㅋㅋ

  • Antonio Giuseppe Ferrante

    👍👍👍

  • Ozymandias
    Ozymandias 9 days ago

    Mozart in background

  • Johnny Serup
    Johnny Serup 9 days ago

    Nice example, just combine it with how to draw Homer Simpson face - video is beautiful, however overcrowded with information which makes it difficult to crasp at first glance.

  • Leopold
    Leopold 11 days ago

    This is ART

  • سمرة ابو الرياضيات

    Thx for translate thank youu soooo much 😍😍😍😍😍

  • sandy blade
    sandy blade 12 days ago

    Most easy to understand presentation I ever seen on youtube..👍👌

  • Rodrigo
    Rodrigo 13 days ago

    No le entendí una vrg, no sé inglés :'v

    Bueno algo, pero sí esta complicado, alguien un resumen básico que ayude a entender los puntos principales? :v

  • rachi imade
    rachi imade 14 days ago

    Thank u I understand the principal of the series Fourier

  • THEODOR ATHANASIADIS
    THEODOR ATHANASIADIS 14 days ago

    WHAT SOFTWARE DID YOU USE FOR ANIMATION?

  • Tony T
    Tony T 15 days ago

    This is brilliant. Fantastic graphically and very educational. The most enjoyable video I have seen on USclip yet..! Well done..

  • Daniel Hopkins
    Daniel Hopkins 15 days ago

    Wave theory serms to be essentially string theory: the outline of a wave is essentially a string

  • asma kadri
    asma kadri 15 days ago

    ضيعتولي 15 دقيقة بدون حتى ذكر كلمة فورييه

    • amazing763
      amazing763 4 days ago

      asma kadri - (15 minutes without mentioning the word Fourier) "Discovery of the connection between the title and the content is left as an exercise for the student!"

  • desale chali
    desale chali 16 days ago

    4edu

  • Jugurtha Green
    Jugurtha Green 18 days ago

    please what are the names of musics do you use on your video,
    thank you sir
    i looove your videos

    • Physics Videos by Eugene Khutoryansky
      Physics Videos by Eugene Khutoryansky  18 days ago

      All the music in this video is from the free USclip audio library, and the names of the songs are the following.
      Hungarian_Rhapsody_No_2_by_Liszt
      Stale Mate

  • Zhifang Zhao
    Zhifang Zhao 19 days ago

    如果上学时用这种方式给我们讲解,我想我的数学成绩会很优秀。

  • 박태인
    박태인 20 days ago

    Any Korean translation?

  • Brian 'n Mandy Segal
    Brian 'n Mandy Segal 23 days ago

    Finally! Thank you. Thank you. Thank you!

  • Apocalypse assassin
    Apocalypse assassin 23 days ago

    That background music doesn't suit. Pls change it

  • Maksym Olshanskyy
    Maksym Olshanskyy 26 days ago

    It's amaizing!

  • Umesh Soni
    Umesh Soni 26 days ago

    most beautyful representation of sin functions and foruriers illustrated so simply. thanks

  • Tone Loke
    Tone Loke 28 days ago

    Very nicely done.
    Is there any chance of applying your impressive craft to the tricky concepts in statistics, that are such an important factor for our understanding of the stochastic nature of physical phenomena?

  • Brien
    Brien 29 days ago

    Sooooo.. what is creating all these waves to make us and the universe?

  • Annu Kala
    Annu Kala Month ago

    amazingly explained! Thanks a lot :)

  • Fada fez
    Fada fez Month ago

    This is wonderful! Would be so easy to learn this concept by visualizing them in this way.

  • 羅luo
    羅luo Month ago

    连影子都有,好细心

  • Douglas Lyon
    Douglas Lyon Month ago

    Would love to be able to make videos like this, what software did you use?

  • Bo-Jiang Lin
    Bo-Jiang Lin Month ago

    It's an intuitive way to learn the combination of waveform function.

  • Yashu Sphinx
    Yashu Sphinx Month ago

    Great video, music also put me to sleep

  • Lazuardi Pujilaksono

    The music reminded me of Tom and Jerry

  • Sanket Salvi
    Sanket Salvi Month ago

    This was the first time I truly understood the importance of sine waves...thank you so much

  • Vitor Viana
    Vitor Viana Month ago

    Não entendi, quero trancar o curso

  • ElPénor
    ElPénor Month ago +2

    The best music for the best subject

  • Ken Pals
    Ken Pals Month ago +1

    So beautiful

  • Mitchell van Doorn
    Mitchell van Doorn Month ago

    Fantastic

  • Werner van Nuffel
    Werner van Nuffel Month ago +1

    For all frequenty modulation synthesis sound designers this video is a goldmine !

  • jhony angarita
    jhony angarita Month ago

    un punto es un lugar en el espacio tiempo y el espacio es infinitos lugares en todos los sentidos
    el plano es solo un tipo de superficie ejemplo un cubo tiene 6 superficie planas y una esfera pose una superficie curva
    la línea recta es solo una dirección en el espacio es como cuando se dice ves en línea recta

  • Hsien
    Hsien Month ago

    amazing

  • Mike Girard
    Mike Girard Month ago

    I feel like this video answers all of quantum mechanics and in fact all of reality to me like nothing ever has before. Fantastic.

  • איתי משולם

    it was amazing video thank you very much

  • Ram Krishna
    Ram Krishna Month ago

    Easy way to understand Fourier series👍👍👍👍

  • Narendra Nath
    Narendra Nath Month ago

    Fantastic presentation

  • ikbal Matus Estrada

    I want the músic!!!, and it's an amazing video, I understand better the concept of fourier transforms and infinite sums.

    • Physics Videos by Eugene Khutoryansky
      Physics Videos by Eugene Khutoryansky  Month ago

      The music in this video is from the free USclip audio library, and the names of the songs are the following.
      Hungarian_Rhapsody_No_2_by_Liszt
      Stale Mate

  • INTERESTED IN ENGINEERING

    I listen to this music in Tom and jerry

  • Abhinav Sharma
    Abhinav Sharma Month ago

    You guys are really awesome...😄
    Such a beautiful explanation..

  • Adam Mc
    Adam Mc Month ago +1

    pure beauty, mathematics and music which is in the same family btw

    • Justin Molanick
      Justin Molanick Month ago

      Duh thats why alot of people are watching the video... Sine Synths

  • 김태현
    김태현 Month ago

    wow, That animation that ever never seen before..

  • PHOTON
    PHOTON Month ago +4

    Now it's not every day that higher level mathematics blows your mind!

  • PHOTON
    PHOTON Month ago +1

    the classical music got me super hyped and made me interested in what I was learning again. A true Einstein moment.

  • dh enter
    dh enter Month ago

    It feels good as an electrical engineer

  • aikaterini manara
    aikaterini manara Month ago

    Amazing video

  • Days Fishy
    Days Fishy Month ago

    Thank you so much. I finally understanded what Fourier Series is for.

  • Pranjal Arya
    Pranjal Arya Month ago +1

    Oh, its eye opening

  • na zhou
    na zhou Month ago

    Amazing! How is this done?

    • Dave DjL
      Dave DjL Month ago

      Coding/programming algorithms, the math inserted creates visual feedback. You can see things like this for yourself on paper with a protractor and straight edge. The computer is not making the visuals the harmonic mathematics is. Watch "the heart of mathematics" (USclip).

    • Physics Videos by Eugene Khutoryansky
      Physics Videos by Eugene Khutoryansky  Month ago

      Thanks. I make my 3D animations with "Poser."

  • John
    John 2 months ago

    Cool! Hey, did you use PovRay to make your animations? If so, may I have some of your code?

  • Ege Yag
    Ege Yag 2 months ago +2

    I am hypnotized by the music

  • Laissy Thierry
    Laissy Thierry 2 months ago

    Videos intéressante ☺😊😀

  • manoj ambati
    manoj ambati 2 months ago

    Videos like this make education more horror?

  • American Citizen
    American Citizen 2 months ago

    This blew my mind...

  • jkinkamo
    jkinkamo 2 months ago +1

    Never actually thought that the initial sine wave signals have always been present since the beginning of time and they still exist through all eternity. As the whole Universe is in the very same temperature at the end of time all the sine waves cease to exist, am I right? This means that parts of the message I am going to send with my CW transmitter in couple of hours time has been present since the beginning of the Universe. And parts of that message will be present until the end of time. So my keying has been present since the beginning of time and will be present until the end of time.

  • Youness ID BAKKASSE
    Youness ID BAKKASSE 2 months ago +1

    *My whole life was a lie.*