Divergence and Curl

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ความคิดเห็น • 563

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  5 ปีที่แล้ว +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 3 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  3 ปีที่แล้ว +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 TH-cam 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 3 ปีที่แล้ว +1

      Please provide hindi subtitle.

    • @achalbhoir1359
      @achalbhoir1359 2 ปีที่แล้ว

      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 8 ปีที่แล้ว +119

    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.

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  8 ปีที่แล้ว +108

    I have updated my TH-cam 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 TH-cam search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.

    • @MrCmagik
      @MrCmagik 8 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

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

    • @guitarheroprince123
      @guitarheroprince123 8 ปีที่แล้ว

      Thanks :D

    • @El-ne3ln
      @El-ne3ln 7 ปีที่แล้ว

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

    • @PrinceUchih25709
      @PrinceUchih25709 6 ปีที่แล้ว

      How old r u ? ,i am 14 years old

  • @VeganSemihCyprus33
    @VeganSemihCyprus33 8 ปีที่แล้ว +133

    Best visual physics demonstration channel so far :)

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว +8

      Thanks for the compliment.

    • @tarifsiam9585
      @tarifsiam9585 7 ปีที่แล้ว

      Physics Videos by Eugene Khutoryansky

    • @tarifsiam9585
      @tarifsiam9585 7 ปีที่แล้ว +2

      Physics Videos by Eugene Khutoryansky

    • @seandafny
      @seandafny 7 ปีที่แล้ว +1

      +Physics Videos by Eugene Khutoryansky we love you

    • @ergot1803
      @ergot1803 2 ปีที่แล้ว

      Physics Videos by Eugene Khutoryansky

  • @nirmalaliyanaarachchi8724
    @nirmalaliyanaarachchi8724 8 ปีที่แล้ว +77

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว +11

      +Nirmala Liyanaarachchi, glad I was able to help.

    • @kakalimukherjee3297
      @kakalimukherjee3297 4 ปีที่แล้ว

      Remember you from a 3b1b vedio, if not I'm mistaken. Well, where are you now?

    • @superstraight173
      @superstraight173 3 ปีที่แล้ว +1

      @@kakalimukherjee3297 non of your business goddamit

    • @Simply--Science
      @Simply--Science 3 ปีที่แล้ว

      years* of misunderstandings

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  5 ปีที่แล้ว +22

    You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
    th-cam.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 5 ปีที่แล้ว

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

    • @cyberchamps2024
      @cyberchamps2024 4 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  4 ปีที่แล้ว +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.

  • @PirateFunk
    @PirateFunk 7 ปีที่แล้ว +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.

  • @gurjindersingh8820
    @gurjindersingh8820 3 ปีที่แล้ว +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  3 ปีที่แล้ว +4

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

    • @gurjindersingh8820
      @gurjindersingh8820 3 ปีที่แล้ว +1

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

  • @pendalink
    @pendalink 8 ปีที่แล้ว +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

  • @dwnickerson
    @dwnickerson 7 ปีที่แล้ว +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.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  7 ปีที่แล้ว +2

      Thanks for the compliment. I am glad you like my videos.

  • @eklavyachandwadkar6200
    @eklavyachandwadkar6200 7 ปีที่แล้ว +42

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  7 ปีที่แล้ว +3

      Thanks for the compliment. I am glad you liked my video.

  • @yehiaelyamani6943
    @yehiaelyamani6943 4 ปีที่แล้ว

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

  • @yanggao2102
    @yanggao2102 8 ปีที่แล้ว +1

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

  • @boukharroubamediane119
    @boukharroubamediane119 2 ปีที่แล้ว +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!

  • @johnsnow6612
    @johnsnow6612 7 ปีที่แล้ว +2

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

  • @mohammadtarek4673
    @mohammadtarek4673 4 ปีที่แล้ว

    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  4 ปีที่แล้ว

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

  • @dc1049
    @dc1049 8 ปีที่แล้ว +3

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

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

  • @HassaanFareed
    @HassaanFareed 8 ปีที่แล้ว +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  8 ปีที่แล้ว

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

  • @michailmavromatis8287
    @michailmavromatis8287 ปีที่แล้ว +1

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

  • @yoganandsoundararajan4238
    @yoganandsoundararajan4238 8 ปีที่แล้ว +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 8 ปีที่แล้ว +3

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

    • @georgehobbs5052
      @georgehobbs5052 8 ปีที่แล้ว +12

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

    • @georgehobbs5052
      @georgehobbs5052 8 ปีที่แล้ว +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 4 ปีที่แล้ว

      Helmholtz Theorem too please.

  • @BrianJones01
    @BrianJones01 8 ปีที่แล้ว +1

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว +1

      +Brian Jones, thanks for the compliment about my videos.

  • @divyadl6228
    @divyadl6228 7 ปีที่แล้ว +5

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

  • @syedshafintaosif1048
    @syedshafintaosif1048 3 ปีที่แล้ว

    this channel needs a noble prize

  • @tommarchner
    @tommarchner 7 ปีที่แล้ว

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

  • @DeltaAccel
    @DeltaAccel 8 ปีที่แล้ว

    This channel is truly worth it.

  • @zacharyp10
    @zacharyp10 4 ปีที่แล้ว

    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!

  • @easwareapps5191
    @easwareapps5191 5 ปีที่แล้ว

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

  • @hazemmmm9105
    @hazemmmm9105 2 ปีที่แล้ว +3

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

  • @guddushaw9289
    @guddushaw9289 4 ปีที่แล้ว

    This Channel is just more than amazing.

  • @stupidhuman897
    @stupidhuman897 6 ปีที่แล้ว

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

  • @umeshchandramakwana806
    @umeshchandramakwana806 6 ปีที่แล้ว

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

  • @FaizanJatala
    @FaizanJatala 8 ปีที่แล้ว

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

  • @heylofellas
    @heylofellas 7 ปีที่แล้ว

    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  7 ปีที่แล้ว +1

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

  • @vikramgopinath8545
    @vikramgopinath8545 6 ปีที่แล้ว

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

  • @sticraft41
    @sticraft41 5 ปีที่แล้ว

    Great content and amazing demonstrations

  • @ths3100
    @ths3100 3 ปีที่แล้ว +1

    This is awesomely brilliant. Thank you so much.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  3 ปีที่แล้ว

      Thanks for the compliment. I am glad you liked my video.

  • @KirkHammer-fj2of
    @KirkHammer-fj2of 6 ปีที่แล้ว +19

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

  • @Deepak-pi9xx
    @Deepak-pi9xx 3 ปีที่แล้ว

    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. 😇

  • @doesntmatter9996
    @doesntmatter9996 6 ปีที่แล้ว

    ridiculously lucid! couldn't thank you enough!

  • @dantezls
    @dantezls 8 หลายเดือนก่อน +1

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

  • @omega7377
    @omega7377 7 ปีที่แล้ว

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

  • @physicsphilosophy2492
    @physicsphilosophy2492 4 ปีที่แล้ว

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

  • @fakherhalim
    @fakherhalim 8 ปีที่แล้ว +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)!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

      +Fakher Halim, thanks for that really great compliment.

  • @quicklilac
    @quicklilac 7 ปีที่แล้ว +1

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

  • @rodrigoappendino
    @rodrigoappendino 8 ปีที่แล้ว +9

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว +6

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

    • @CalebDiT
      @CalebDiT 7 ปีที่แล้ว

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

  • @priyac8793
    @priyac8793 6 ปีที่แล้ว

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

  • @saikun0293
    @saikun0293 4 ปีที่แล้ว

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

  • @Extensors
    @Extensors 3 ปีที่แล้ว +1

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

  • @blacksunprison13
    @blacksunprison13 7 ปีที่แล้ว

    This was beautiful.

  • @federicovinelli164
    @federicovinelli164 8 ปีที่แล้ว

    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  8 ปีที่แล้ว

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

  • @bozo1977able
    @bozo1977able 4 ปีที่แล้ว

    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  4 ปีที่แล้ว +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.

  • @jhanvivadher257
    @jhanvivadher257 6 ปีที่แล้ว

    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.

  • @daniellassander
    @daniellassander 8 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

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

  • @Jeff7667
    @Jeff7667 8 ปีที่แล้ว

    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  8 ปีที่แล้ว

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

  • @coria6231
    @coria6231 3 ปีที่แล้ว

    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.

  • @sdsa007
    @sdsa007 2 ปีที่แล้ว

    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!

  • @mohammadayyubkhan8541
    @mohammadayyubkhan8541 7 ปีที่แล้ว

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

  • @ranjeetagupta9024
    @ranjeetagupta9024 4 ปีที่แล้ว

    You guys just blew my mind

  • @RubALamp
    @RubALamp 7 ปีที่แล้ว

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

  • @shubhimishra2067
    @shubhimishra2067 4 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  4 ปีที่แล้ว

      Thanks for the compliment. More videos are on their way.

  • @rokandu
    @rokandu 8 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

      +rokandu, thanks. I am glad to hear that my video was helpful.

  • @aurelienmorel2585
    @aurelienmorel2585 7 ปีที่แล้ว

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

  • @ni4egoneponyal
    @ni4egoneponyal 11 หลายเดือนก่อน

    Это лучшее объяснение I ever seen. Очень недооцененное видео

  • @parjohansson3118
    @parjohansson3118 8 ปีที่แล้ว +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  8 ปีที่แล้ว +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 8 ปีที่แล้ว +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.

  • @rajaaekant
    @rajaaekant 5 ปีที่แล้ว

    This channel is so underrated !!!

  • @jiaxuanliu
    @jiaxuanliu 8 ปีที่แล้ว

    A nice ASMR video for me, thanks for uploading!

  • @royalromeo3156
    @royalromeo3156 5 ปีที่แล้ว +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. 😍

  • @Srilekhag
    @Srilekhag 4 ปีที่แล้ว

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

  • @jithunniks
    @jithunniks 6 ปีที่แล้ว

    You are doing a really amazing job....

  • @besilmuhammed2227
    @besilmuhammed2227 6 ปีที่แล้ว

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

  • @kogx2
    @kogx2 7 ปีที่แล้ว +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!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  7 ปีที่แล้ว

      Thanks. Glad you liked my video. More videos are on their way.

  • @suriyanarayanan2655
    @suriyanarayanan2655 6 ปีที่แล้ว

    this is amazing!!

  • @satthu7593
    @satthu7593 5 ปีที่แล้ว

    So great!

  • @tpespos
    @tpespos 8 ปีที่แล้ว

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

  • @infinitylove2713
    @infinitylove2713 5 ปีที่แล้ว +1

    Thanks for giving this wonderful video

  • @jo5804
    @jo5804 3 ปีที่แล้ว

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

  • @rizwanrabbi2500
    @rizwanrabbi2500 4 ปีที่แล้ว

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

  • @ogunsadebenjaminadeiyin2729
    @ogunsadebenjaminadeiyin2729 4 ปีที่แล้ว

    You guys are great.

  • @mahipalmaurya8461
    @mahipalmaurya8461 5 ปีที่แล้ว +1

    *You made very easy to understand ,thanks*

  • @ashokkumarmannepalli7226
    @ashokkumarmannepalli7226 7 ปีที่แล้ว

    Fantastic and creative explanation

  • @ahmeddraz962
    @ahmeddraz962 7 ปีที่แล้ว

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

  • @acho8387
    @acho8387 8 ปีที่แล้ว

    You're back! Awesome.

  • @SHIFTKICK
    @SHIFTKICK 8 ปีที่แล้ว +32

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว +9

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

    • @vincentporras4146
      @vincentporras4146 6 ปีที่แล้ว +1

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

    • @alikhademi95
      @alikhademi95 6 ปีที่แล้ว

      SHIFTKICK oo

    • @carolinekouri8951
      @carolinekouri8951 3 ปีที่แล้ว

      5 years later and mine is today!

    • @SHIFTKICK
      @SHIFTKICK 3 ปีที่แล้ว

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

  • @jcharlesbayliss
    @jcharlesbayliss 8 ปีที่แล้ว

    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  8 ปีที่แล้ว

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

  • @xinyuli9423
    @xinyuli9423 2 ปีที่แล้ว

    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)

  • @sdsa007
    @sdsa007 2 ปีที่แล้ว

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

  • @alex-pf8xr
    @alex-pf8xr 8 ปีที่แล้ว

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

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 ปีที่แล้ว

      +alex nnn, Thanks for the compliment. I am glad you liked it.

  • @nadeemaurangzeb4587
    @nadeemaurangzeb4587 8 ปีที่แล้ว

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

  • @wadezhou8204
    @wadezhou8204 4 ปีที่แล้ว

    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! :)

  • @anuragmittal9816
    @anuragmittal9816 6 ปีที่แล้ว

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

  • @jonasklimantas865
    @jonasklimantas865 6 ปีที่แล้ว

    Excellent!

  • @intexclouds9607
    @intexclouds9607 7 ปีที่แล้ว +1

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

  • @jlpsinde
    @jlpsinde 5 ปีที่แล้ว

    Really amazing, you deserve Patreon support!

  • @itachiuchiha-vs3qb
    @itachiuchiha-vs3qb 6 ปีที่แล้ว

    mind blown!!!

  • @oraange
    @oraange 4 ปีที่แล้ว +2

    Poetry in motion !

  • @glorglory8738
    @glorglory8738 8 ปีที่แล้ว

    really thank you i v been trying to understand the curl for years and i couldnt but today finally i understood it after i watched this video really thank you

  • @cayezara8110
    @cayezara8110 3 ปีที่แล้ว

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

  • @geetgeorge9696
    @geetgeorge9696 8 ปีที่แล้ว +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  8 ปีที่แล้ว +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.

  • @Simply--Science
    @Simply--Science 3 ปีที่แล้ว

    this is really helpul!

  • @gurpreetlubana4618
    @gurpreetlubana4618 6 ปีที่แล้ว

    Finaly I understand divergence and curl thanks a lot dear.....