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.
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 RU-vid 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.
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?
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.
I have updated my RU-vid 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 RU-vid search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.
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.
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.
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!
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
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. 😍
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.
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.
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.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ru-vid.com_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.
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.
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)!
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. 😇
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!
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)
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.
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!
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.
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!
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!
+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.
+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.
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!
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.
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!
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!
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?
Woah how about your grade? I just have my exam of multi variable calculus too in hours and the professor said in class "just study divergence and curl of a vectorial" and I found this
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! :)
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.
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
Thank you so much, very very good...the best explanation on planet.... Hats off to you Eugene....please help us with more videos....could you please prepare videos on classical physics section for motion in two or three dimension with its laws and numerical problems? Also on the section of moment of inertia concept in detail for more shspes
Thanks. I already have many videos on those topics. Examples are below. Laws of Motion - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Ixf9ZyZaE9Q.html Torque & Rotation - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-leZX0GpV5W0.html
The world of physics is full of imagination. Thanks a lot for converting this imaginative world into real world 😊😊👌👌👏👏 The more is our imaginative power the more we can explore in physics. But unfortunately all are not blessed with this imaginative power. But if they watch these videos they can surely develop imaginative power.
its like musical mathematics. i feel relax and very calm watching them. you animate very nicely. please, if you can make videos on computation physics i would really love to watch them.
Thanks for the compliments. I don't know if this is what you mean by computational physics, but I have a video on how to do physics simulations at ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE--nbTrPwQudo.html
Very lucid visual interpretation of Divergence and Curl with good animation and explanation. Lot of time and work is required for such animated videos, Kudos to you for making such videos. Hope you make videos on Maxwell's equations.
Thanks for the compliment, and I already have a video on Maxwell's equations. It is at ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-9Tm2c6NJH4Y.html
Given the divergence and curl, can you calculate what a vector field is that has said divergence and curl? And will there be a general solution of vector fields with said divergence and curl that only differ by a uniform/constant component? Similar to how given a gradient vector field of a scalar function, you can calculate what that function is. And you can calculate the general family of functions that have a given gradient, which only differ by a constant term. So the gradient vector field tells you everything you need to know about the shape of the hill, and the only difference between all the possible hills that could have this gradient, is the overall elevation.
The three dimensional representational keep the mind clear And not flattering out as it can when things are written on a blackboard, thanks I find the imaginary concept insightful It makes you think that light has its negative inbuilt speed of light component So that a curl ,and divergence dampening effect stops opposing light source's from exceeding the speed of light
Liked the presentation. If you assume that the same reference frame and there are two sets of vectors that are congruent with each other but in opposite directions, they would sum to zero. The same could be said for the associated manifolds, as demonstrated in the clip. Seems trivial. Like, water being pumped through tubes or hoses are physically next to each other but with the water being directed in opposite directions by the hoses or tubes --- if these setups were curved say,? But you can fool around with that setup. You can contrive to tilt one hose with water flowing through it, 20 or so degrees when referenced to the other curved hose, say, and as the previous computed vector nulling goes away and there then might be seen some thrust as per Huygens' equation F = ma = (mv^2)/r, which applies similarly to to associated vectors and manifolds as suggested above. ... tubing with water flowing through it, draped and pined to a 20 degree wedge shape ---- folding a circle in half. Sort of trivial. The ideas are pretty simple, and if you factually create a physical model or models, the simplicity becomes pretty obvious. Generally, I think that many get put off by the wordiness of the explanations, which is understandable. But, I wonder if NASA knows of this trivial exercise? See: 'Traveling Through Space --- Without Rockets: 3rd Ed.' by James G. Parsons. As seen, complete with copious spelling and grammatical errors, on or at maybe Ammazson?
