Divergence and Curl

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  • čas přidán 6. 12. 2015
  • Visualization of the Divergence and Curl of a vector field.
    My Patreon Page: / eugenek
  • Věda a technologie

Komentáře • 562

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  Před 5 lety +22

    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.

    • @cool9930
      @cool9930 Před 3 lety

      Hello do you need Arabic translation? im a math and statistics student from Montreal and speak Arabic fluently

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 3 lety +3

      Although many of my videos already have Arabic subtitles available, many others still need them. If you would like to help provide Arabic subtitles, please send me an email. My email address is available in the "about" tab of my CZcams home page. I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and email the file back to me. I will then upload it to my channel. Thanks.

    • @GauravSingh-sf3uu
      @GauravSingh-sf3uu Před 3 lety +1

      Please provide hindi subtitle.

    • @achalbhoir1359
      @achalbhoir1359 Před 2 lety

      19:23 if inner 4 particles are rotating anticlockwiz then what will be the sum?
      2+2+2+2+2+2+2+2=16 + inside 4= 20 or 2+2+2+2+2+2+2+2= 16 - inside 4= 12?

  • @georgehobbs5052
    @georgehobbs5052 Před 8 lety +118

    After nearly 40 years of pondering vector calculus,I think you have explained line integrals,volume integrals and surface integrals and how they are all tied together,thanks.

  • @VeganSemihCyprus33
    @VeganSemihCyprus33 Před 7 lety +132

    Best visual physics demonstration channel so far :)

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  Před 8 lety +108

    I have updated my CZcams User name and picture, to help people immediately recognize what this channel is about. As always, for each video that you like, you can help more people find it in their CZcams search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.

    • @MrCmagik
      @MrCmagik Před 8 lety

      +Physics Videos by Eugene Khutoryansky
      where's the puppy :(

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +ヌリシルヴァン, The puppy can still be seen on my Patreon page. :)

    • @guitarheroprince123
      @guitarheroprince123 Před 8 lety

      Thanks :D

    • @El-ne3ln
      @El-ne3ln Před 7 lety

      ɷɷɷɷ Heeyy Friendsssss I Have F0unddd Workingg Online Hacck visitttt : - t.co/bZI4TtjdlL

    • @PrinceUchih25709
      @PrinceUchih25709 Před 6 lety

      How old r u ? ,i am 14 years old

  • @nirmalaliyanaarachchi8724
    @nirmalaliyanaarachchi8724 Před 8 lety +77

    Hours of misunderstandings cleared up in 25 minutes. Thank you!

  • @gurjindersingh8820
    @gurjindersingh8820 Před 3 lety +7

    Spend lots of time to understand actual meaning of divergence and curl and not succeeded , then found your video and understood in 25 minutes. Thanks you so much for these amazing videos. Best channel for Physics and mathematics.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 3 lety +4

      I am glad my video was helpful. Thanks for the compliments about my videos.

    • @gurjindersingh8820
      @gurjindersingh8820 Před 3 lety +1

      @@EugeneKhutoryansky 🔥 Make more and more videos , I can spend hours and hours learning from your channel.

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  Před 5 lety +22

    You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
    czcams.com/users/timedtext_video?v=qOcFJKQPZfo&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.

    • @keset_startup
      @keset_startup Před 4 lety

      is it possible to make not only subtitles but also a new voice in other languages?

    • @cyberchamps2024
      @cyberchamps2024 Před 4 lety

      I want to translate your voice into Urdu Language. Will you allow me to do so?

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 4 lety +1

      The only way people can add a translation is by adding subtitles through the link above. Ifran, I just received subtitles in Urdu, which I assume are from you. Thank you very much. These subtitles are now available to people watching the video on my channel. People can see the subtitles by clicking on the gear symbol under the video, then clicking on "subtitles", then selecting the language.

  • @dwnickerson
    @dwnickerson Před 7 lety +16

    Simple and elegant! Your videos are superb! I only wish that I would have come across them much sooner! Thank you for all your hard work Mr. Khutoryansky.

  • @PirateFunk
    @PirateFunk Před 7 lety +7

    I'm always happy to stumble on your videos when I can't get a concept through my head. So much better explained than in my engineering classes.

  • @pendalink
    @pendalink Před 8 lety +10

    I can always go to a video involving the math of your topics following your newest video and follow it, thanks to how well you organize and present these. Thank you so much

  • @boukharroubamediane119
    @boukharroubamediane119 Před 2 lety +2

    sincerely, I have just tangibly grasped the spatial meanings of the "rotational" vector and of the "divergence" scalar after having studied and manipulated them in math at the university, 45 years ago !! your videos are a blessing of rejuvenation !! I ❤️ them!

  • @eklavyachandwadkar6200
    @eklavyachandwadkar6200 Před 7 lety +42

    One of the most beautiful and highly oriented educative video. The efforts given are worth praise. Thanks for the subtle visual explanation

  • @hazemmmm9105
    @hazemmmm9105 Před 2 lety +3

    The only time that I feel I am a physicist is the time I watch your videos. Perpendicularly thanks

  • @yehiaelyamani6943
    @yehiaelyamani6943 Před 4 lety

    Magnificent! Best visualization I've seen for such difficult concepts. Many thanks

  • @KirkHammer-fj2of
    @KirkHammer-fj2of Před 6 lety +19

    Holy Cow !! This is Blasphemy ,, back in my days , it took me weeks to imagine how a curl or divergence would look.

  • @yanggao2102
    @yanggao2102 Před 8 lety +1

    This video is amazingly clear and informative. Thanks a bunch Eugene!!

  • @johnsnow6612
    @johnsnow6612 Před 7 lety +2

    I like to watch your videos before learning more strict definitions, they help a lot.

  • @michailmavromatis8287
    @michailmavromatis8287 Před rokem +1

    Simply amazing presentation.It is fantastic tool for understanding the terms of divergence and curl.!!

  • @HassaanFareed
    @HassaanFareed Před 8 lety +7

    ur channel is amazing and it helps me visualizing the concepts i cant before. i m from pakistan n really a fan of urs.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +Cpalead Cpalead, thanks. I am glad you like my channel and that you have found it helpful.

  • @mohammadtarek4673
    @mohammadtarek4673 Před 4 lety

    I am really grateful that I found your channel. I thank you very much for your efforts and I really really hope that you stays interested and motivated in keeping producing such videos.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 4 lety

      Thanks. I am glad you like my videos. More videos are on their way.

  • @yoganandsoundararajan4238
    @yoganandsoundararajan4238 Před 8 lety +108

    Hi Eugene Khutoryansky
    This video is amazing! Is it possible in future to cover topics like line and surface integrals and its applications???. Also green and stokes theorem.

    • @theflaggeddragon9472
      @theflaggeddragon9472 Před 8 lety +3

      +yoganand soundararajan For now try Khan Academy and Pauls online notes. Those are really good resources!

    • @georgehobbs5052
      @georgehobbs5052 Před 8 lety +12

      If you watch and think alittle that's exactly what the video goes thru,it's all there.

    • @georgehobbs5052
      @georgehobbs5052 Před 8 lety +5

      The orig Khan acad. video's on multivariate cal really suck,bad lots of errors,very poor,make more confusion than answer.

    • @ritik84629
      @ritik84629 Před 4 lety

      Helmholtz Theorem too please.

  • @FaizanJatala
    @FaizanJatala Před 8 lety

    Really its a nice work again...!! Thank u so much for this beautiful sharing

  • @dc1049
    @dc1049 Před 8 lety +3

    You do amazing work! Please continue to produce these videos, they are an absolutely fantastic resource for understanding these concepts better.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +D C, Thanks for the compliment. Lots more videos are on their way.

  • @dantezls
    @dantezls Před 8 měsíci +1

    atleast it provides a ground for understanding,thumbs up for eugene and your team👍👍

  • @BrianJones01
    @BrianJones01 Před 8 lety +1

    Your videos are amazing! I hope you know how much you are going to help people. Thank you!

  • @fakherhalim
    @fakherhalim Před 8 lety +2

    I said that before, but each time I see a new one, I am forced to repeat!
    You are the best physics/math illustrator on this entire planet earth (known to me)!

  • @umeshchandramakwana806

    Very nice visual explaination of difficult concepts...Thank you for making complicated things very easy to understand.

  • @divyadl6228
    @divyadl6228 Před 7 lety +5

    Really really helpful your videos
    Amazing work
    Thank youuu so much for you and your team for such a great work
    Keep going 👍🏾👊🏾💪🏾

  • @tommarchner
    @tommarchner Před 7 lety

    Excellent explanation and visual display. I've never really understood divergence and curl until now. Thanks much. You do a great service.

  • @quicklilac
    @quicklilac Před 7 lety +1

    This visualization explains Divergence and Stokes theorems in the best way one could imagine. ❤️

  • @easwareapps5191
    @easwareapps5191 Před 5 lety

    Excellent work. Never seen such informational videos anywhere else. No words to express my gratitude to you. Thnk you so much.

  • @stupidhuman897
    @stupidhuman897 Před 6 lety

    Your videos are master pieces of Art, beautiful description of Physics and Mathematics. Thank you so much for the great work.

  • @doesntmatter9996
    @doesntmatter9996 Před 6 lety

    ridiculously lucid! couldn't thank you enough!

  • @zacharyp10
    @zacharyp10 Před 4 lety

    This video was unbelievably helpful. This has shown to me that I am 100% a visual learner and that I should seek videos like this for topics I have a hard time grasping. I very much appreciate the effort that went into this!

  • @bozo1977able
    @bozo1977able Před 4 lety

    Long ago, when I took a course on Electricity and Magnetism, the tracher didn't explain anything about curl, gradient or divergence. He only taught us the mathematical way they are calculated. Now, with this video I completely understood these terms. Thank you very much. Eugene Khutoryannky, for this and other axplanations you have given through your videos.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 4 lety +1

      Thanks. I am glad that my videos are helpful. The reason your teacher didn't explain it is most likely because he didn't understand it himself, and he was just repeating it the way he himself was taught. This is a very common problem.

  • @omega7377
    @omega7377 Před 7 lety

    Great demonstration of fundamental concept regarding Electromagnetic Field Theory! Much thanks.

  • @sticraft41
    @sticraft41 Před 5 lety

    Great content and amazing demonstrations

  • @ths3100
    @ths3100 Před 3 lety +1

    This is awesomely brilliant. Thank you so much.

  • @mohammadayyubkhan8541
    @mohammadayyubkhan8541 Před 6 lety

    Beautifully explained the concept and purpose of the Divergence and Curl.

  • @intexclouds9607
    @intexclouds9607 Před 6 lety +1

    and this year's Nobel peace prize (for enlightening the world) goes to..... . love your work,sir.

  • @syedshafintaosif1048
    @syedshafintaosif1048 Před 3 lety

    this channel needs a noble prize

  • @heylofellas
    @heylofellas Před 7 lety

    just an appreciation post.
    your videos are one of the primary reasons of my interest sparking in physics
    keep up the amazing work and inspiring people! You should know what you're doing is changing people's outlooks
    kudos!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 7 lety +1

      Thanks for the compliment about my videos. I am glad to hear that they are making a difference.

  • @guddushaw9289
    @guddushaw9289 Před 4 lety

    This Channel is just more than amazing.

  • @coria6231
    @coria6231 Před 3 lety

    Just when I have a multi variable calculus exam in hours and this is precisely the topic in the exam.
    Thanks Mr Eugene for a great video, greetings from Mexico.

  • @RubALamp
    @RubALamp Před 7 lety

    I never quite visualized Ampere's Law well, you helped me a lot in this video!

  • @rodrigoappendino
    @rodrigoappendino Před 8 lety +9

    I finished an introdutory course of particle physics this semester. This video helped me a lot to visualize what I learned.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety +6

      +Rodrigo Appendino, Glad to hear that my video was helpful. Thanks.

    • @CalebDiT
      @CalebDiT Před 7 lety

      You mean, this video helped you visualize what you didn't learn. :P

  • @jiaxuanliu
    @jiaxuanliu Před 8 lety

    A nice ASMR video for me, thanks for uploading!

  • @Deepak-pi9xx
    @Deepak-pi9xx Před 3 lety

    These 25 minutes needed your hours of hardwork and it saved my hours of hard work to understand it so easily.
    I am studying engineering mathematics and wanted to understand physical meaning of Divergence and curl.
    Thank you, thank you, thank you. 😇

  • @physicsphilosophy2492
    @physicsphilosophy2492 Před 4 lety

    This is a Masterpiece video.
    I must say one of the best video I've ever watched and amazed

  • @DeltaAccel
    @DeltaAccel Před 8 lety

    This channel is truly worth it.

  • @ni4egoneponyal
    @ni4egoneponyal Před 11 měsíci

    Это лучшее объяснение I ever seen. Очень недооцененное видео

  • @jhanvivadher257
    @jhanvivadher257 Před 6 lety

    This was very useful to me..as i was unable to understand the physical interpretation of curl and divergence. Thank u so much for this useful information.

  • @xinyuli9423
    @xinyuli9423 Před 2 lety

    OMG, it makes so much more sense to capture the flowing particles using a box instead of a ball! This way, you can easily decompose them in the direction of xyz (and generalize to higher dimension)

  • @vikramgopinath8545
    @vikramgopinath8545 Před 6 lety

    This is the best explanation I had ever seen. Thank you!!

  • @royalromeo3156
    @royalromeo3156 Před 5 lety +8

    After completing my 1st semester I was totally disappointed to opt engineering because my love 'Physics' was continuously going far to me but thanx for your electric , magnetic field to create an attractive force between me and the Physics. 😍

  • @aurelienmorel2585
    @aurelienmorel2585 Před 7 lety

    incredible video to visualize vector analysis and particularly Stokes theorem, great thank you

  • @blacksunprison13
    @blacksunprison13 Před 7 lety

    This was beautiful.

  • @parjohansson3118
    @parjohansson3118 Před 8 lety +1

    Another wonderful video!
    I am deeply impressed by how Eugene (and Kara!) can manage to explain so much math without (or, mostly without) using any formulas!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety +8

      +Pär Johansson Thanks. What I am trying to do is give people an intuitive understanding of what the formulas mean by visualizing images of what they represent. Once someone has this visualization, they can derive the formulas from the images. However, it doesn't work it the reverse order. Knowing the formula doesn't necessarily mean that someone can derive the image of what it represents. This is why I believe that the images are far more important than the formulas, and the images also make the topic accessible to more people.

    • @acho8387
      @acho8387 Před 8 lety +2

      +Physics Videos by Eugene Khutoryansky This is perfect for me because I am a pure visual learner and I can't learn anything if I don't see it moving... it's kinda unfortunate, but thanks to people like you, I can learn. Forever grateful here.

  • @tpespos
    @tpespos Před 8 lety

    This is an awesome way to picture what's happening in my E&M class right now

  • @rajaaekant
    @rajaaekant Před 5 lety

    This channel is so underrated !!!

  • @-SalimRaja
    @-SalimRaja Před 5 lety +1

    I'd donate to you soon as I get a job. Thanks a lot! Excellent visual representation.

  • @ahmeddraz962
    @ahmeddraz962 Před 7 lety

    Thank you, I really like the combination of music and math and the super illustration of the sciences .

  • @SHIFTKICK
    @SHIFTKICK Před 8 lety +32

    This is awesomely thorough and well-done. Good timing too: My multivariable calc final is on Thursday :)

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety +9

      +SHIFTKICK Thanks for the compliment, and I am glad to have this in time for your final.

    • @vincentporras4146
      @vincentporras4146 Před 6 lety +1

      1 year later, my multivariable calc final is tommorow. :)

    • @alikhademi95
      @alikhademi95 Před 6 lety

      SHIFTKICK oo

    • @carolinekouri8951
      @carolinekouri8951 Před 3 lety

      5 years later and mine is today!

    • @SHIFTKICK
      @SHIFTKICK Před 3 lety

      @@carolinekouri8951 Wow...5 years. Good luck on your final!

  • @jo5804
    @jo5804 Před 3 lety

    Hi Eugene Khutoryansky. Thanks for sharing you high quality visual physics demonstrations.😃

  • @federicovinelli164
    @federicovinelli164 Před 8 lety

    these videos are the best to develop some real math/physics intuition, every equation comes alive after watching them in these simulations, thank you so much!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +Federico Vinelli Thanks for the compliment. I am glad that you like my videos that much.

  • @saikun0293
    @saikun0293 Před 4 lety

    I just love you Eugene! Your truly the best physics teacher....your videos seriously help me a lot...

  • @ranjeetagupta9024
    @ranjeetagupta9024 Před 4 lety

    You guys just blew my mind

  • @jlpsinde
    @jlpsinde Před 5 lety

    Really amazing, you deserve Patreon support!

  • @Jeff7667
    @Jeff7667 Před 8 lety

    It's incredible how easy the video is to understand, even to those without a background in mathematics or physics. The timing is perfect as well as my multivariate calculus final is tomorrow. Thanks!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +coustyx, I am glad that I managed to finish this video in time for your final. And thanks for the compliment.

  • @oraange
    @oraange Před 4 lety +2

    Poetry in motion !

  • @jithunniks
    @jithunniks Před 6 lety

    You are doing a really amazing job....

  • @infinitylove2713
    @infinitylove2713 Před 5 lety +1

    Thanks for giving this wonderful video

  • @priyac8793
    @priyac8793 Před 6 lety

    This video is awesome. I love u for this. So beautifully explained

  • @kogx2
    @kogx2 Před 7 lety +1

    Thank you so much for this great video. I am very happy to study with this subtitled video. For non-native english learner student like me needs also subtitile. So I appreciate so much! and I hope you'll keep uploading these great videos! thanks!

  • @acho8387
    @acho8387 Před 8 lety

    You're back! Awesome.

  • @sdsa007
    @sdsa007 Před 2 lety

    Thanks again i think this is my favourite video! It really helped my in my understanding of Nabla notation and Green’s Theorem… explained vis curl and divergance… AMAZING! THANK YOU!

  • @nadeemaurangzeb4587
    @nadeemaurangzeb4587 Před 8 lety

    simply awesome amazing...love you for this video :)

  • @geetgeorge9696
    @geetgeorge9696 Před 8 lety +2

    Thanks a lot, Eugene! Your video helped me a lot a lot a lot. I have been grappling with these concepts for a long time now!
    Subscribed! :) Rarely do I subscribe to a channel after watching just one video of theirs.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety +1

      +Geet George, thanks. I am glad you found my video helpful, and I am glad to have you as a subscriber. I hope you enjoy all my other videos too.

  • @daniellassander
    @daniellassander Před 8 lety

    As always i love your videos! Awesome work and it really makes understanding it all a lot easier!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +Daniel Lassander, thanks. I am glad that you love my videos, and thanks for the compliment.

  • @anuragmittal9816
    @anuragmittal9816 Před 6 lety

    "Billion likes" Video , superb ...thanks for putting so much effort in it .

  • @rokandu
    @rokandu Před 8 lety

    Great job...effectively helping my understanding of difficult topics..

  • @wadezhou8204
    @wadezhou8204 Před 4 lety

    This video is amazing, i'm a visual kind of person. Explaining with animation helps me a lot to understand the concept! Thank you for making the great content! :)

  • @besilmuhammed2227
    @besilmuhammed2227 Před 6 lety

    this is amazing and awesome the subtitles helps so much thank you very much

  • @Extensors
    @Extensors Před 3 lety +1

    I love 3000 ..who is explaining such a nice explanation I have ever seen!

  • @suriyanarayanan2655
    @suriyanarayanan2655 Před 6 lety

    this is amazing!!

  • @CalebDiT
    @CalebDiT Před 7 lety +3

    As always, an invaluable contribution for those wishing to learn about these topics. Thanks, Eugene Khutoryansky.
    Have you considered making an Android/iPhone app, in which these physics concepts can be used and tested?

  • @shubhimishra2067
    @shubhimishra2067 Před 4 lety

    Best channel for studying physics.... plz keep it up

  • @mystic3549
    @mystic3549 Před rokem +1

    You and 3b1b together make my life so simple :) lovingg these masterpieces

  • @the5chronicles
    @the5chronicles Před 8 lety +1

    love it! Really hoping to see a series on quantum field theory from you

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety +1

      +the5chronicles, Glad you liked it. Quantum field theory is on the list of future videos. Thanks.

  • @jcharlesbayliss
    @jcharlesbayliss Před 8 lety

    I love you you make this SO easy - I am sharing this will my ten year old son - because its so well done that he will get this too

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +Charlie Bayliss, Thanks for the compliment, and I hope your son enjoys my video too.

  • @Jesus-cm6ln
    @Jesus-cm6ln Před 4 lety +1

    Best physics channel ever

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 4 lety +1

      Thanks for the compliment.

    • @Jesus-cm6ln
      @Jesus-cm6ln Před 4 lety +1

      @@EugeneKhutoryansky please try to upload concepts upto graduate level or higher . 🙏🙏

  • @rizwanrabbi2500
    @rizwanrabbi2500 Před 4 lety

    This great I loved it! Helped me a lot. Thank you.

  • @Mystl2
    @Mystl2 Před 8 lety

    superb graphics, very informative and educational subjects, please keep up the terrific work, which I know is not easy

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  Před 8 lety

      +Mystl2, thanks for the compliment. More videos are on their way.

  • @sdsa007
    @sdsa007 Před 2 lety

    finally! i understand curl completely! and i now have extra intuition about divergence / flux ! thank you!

  • @mahipalmaurya8461
    @mahipalmaurya8461 Před 5 lety +1

    *You made very easy to understand ,thanks*

  • @ashokkumarmannepalli7226

    Fantastic and creative explanation

  • @alex-pf8xr
    @alex-pf8xr Před 8 lety

    AWESOME!!!!!
    AS ALWAYS GREAT JOB THAT DESERVE ATTENTION!!!

  • @Srilekhag
    @Srilekhag Před 4 lety

    In love with ur videos....thank u sooooo much

  • @cayezara8110
    @cayezara8110 Před 3 lety

    Amazing illustration, it makes mathematics a wonderful and fun! Wow!!

  • @why78536
    @why78536 Před 7 lety

    Excellent video!