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.
@@mustafanaser9789 My videos will always remain free for everyone. But, if people want to donate, they can do so through my Patreon page at www.patreon.com/EugeneK Thanks.
I started with studying about Neural Networks, which led me to a Multilayer Perceptron, which led me to the Backpropogation algorithm, which led me to the calculus of gradient descent and it's intuitive meaning, which led me to a doubt, which led me to searching about the meaning of partial derivatives and gradients and that led me to this video and I have finally clarified my doubt. Thank you Dr. Eugene, your videos are amazing.
Your methodology for teaching is very conducive to learning concepts that aren't really all that intrinsically difficult to understand, but that are commonly hard to learn because of the way the information is commonly presented. Good job and thank you!
+Physics Videos by Eugene Khutoryansky Absolutely. It also makes you more able to apply it to real problems because you know what's being the equations.
@@EugeneKhutoryansky ; wow. what a great philosophy. I really hope that this will be the future. Teaching and learning would then be full of fun for everyone :)
Beautiful! Every video is a gem. This is what's been missing from the higher education system. I hope you get to a level where you can higher animators (or take volunteers) and blow this thing up to Khan Academy status. I can absolutely see this happening, please keep it up!
+Musa Yusuf By "Khan Academy status" I was referring to popularity and success. Eugene's videos are clearly of superior quality but also fundamentally very different from Khan Academy videos.
This really helped me understand the concept of the gradient. I finally understand how the gradient relates to the partial derivatives and why the it points in the direction of greatest increase in z. Thanks for putting it together! What would be super cool would be an animation of the gradient changing along with the x and y components as the dot traversed the surface.
Thank you Eugene. You are a true visionary in terms of how using visualization one can give ' real life' and better understanding to the complex math and statistical concepts. Wish I had this available in my college times.
The only things that I really dislike about these videos are the Fundamental Missing Pieces in the explanations, which I notice at almost every video. For example, here the it does not explain why gradient indicates the direction for which the function increases by the largest amount. Missing explanations like that diminish the value of this channel by the largest amount. If you fill the "explanation gaps" a little further, I believe your channel would be one of the very best.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ua-cam.com/users/timedtext_video?v=GkB4vW16QHI&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.
I can't believe I didn't even know the basics what use was my education from 10th grade to uni I didn't even know the basics thanks for explaining everything so clearly
I did examples on partial derivative s 7 yrs ago and also scored good marks. But i understood what exactly it is today. Thank you, Hope more people try to understand what exactly it is rather than just solving numericals.
For the first time I'm seeing this type of explanation now I am able to understand what the partial derivatives and the concept of keeping x or y constant.x. very great teaching.
I have been a subscriber of your channel for more than a year now. I have seen your channel progress from the puppy picture, to the amazing quality of animation. I would like to thank you once again for continuing to make videos, and for being an awesome science UA-cam channel. You, along with many other UA-cam channels, have inspired me to be a science student. You're the best, Eugene! Sincerely, Ahnaf Abdullah
+Ahnaf Abdullah, thanks for the compliments. I am glad that you liked my videos, and I am glad to hear that I have helped inspire your pursuit of science.
Excellent stuff. By far the best channel on UA-cam for an introduction to this sort of advanced mathematics. I can't overstate how much I've learned from just a handful of these videos. Please keep doing this.
This video should be shown to all students learning integrals honestly. It is such a useful visualization, which really captures the reality of what the math is meant to model.
I hope you do more videos like this. I always try to imagine a landscape to understand multivariable related maths, but sometimes it's too difficult and I fail. I'd very much like you to explain the implicit derivation theorem in your own way.
the most satisfying video about partial derivatives is yours. seeing mathematics this way is lot more helpful than to study it from books. thanks for the video.
Very powerful how you keep it all in the same shot this time. I often find that your "whoosh" and make things confusing, I hope you'll keep some of this style in the future.
Your videos are so essential for understanding and strengthening basic concepts that they should be included in the syllabus of courses of all science colleges across the world!
Pretty nice, quite difficult to digest the conclusion when adding the X,Y vectors to get the Z as gradient. Not sure how the gradient is built by the sum of those since you get their divisions but then add them up for a vector (what I wonder is how they translate in the gradient for visualization and not into a certain color at that point in the grafic for X, Y coordinates).
+Alexandru Gheorghe at every point there is a vector that points in the direction of greatest increase (with the length denoting how much that increase is). So instead of the colors, you could imagine all of the arrows everywhere but sometimes that might be more difficult to do/read from. Try googling 'gradient field' and looking through the images. You can find some examples of what I'm talking about. I hope this helps!
You turn the magnitude of each partial derivatives of z with respect to x or y into vectors, then add the vectors. The magnitude is the slope (the derivative), and the direction is negative or positive depending on the slope. I got confused thinking about how you would add negative or positive vectors if the slopes were different signs, but in smooth functions, there is a gradual change, and if the function is all in the quadrant were x and y are positive, then only the change in z will be positive or negative. So this is easy to visualize. The gradient is just the vector sum of the partial derivatives, and this gradient vector points in the direction the combined maximum amount of change. The hypotenuse of the triangle. The colors in the video graphs only represent if the change in z is positive or negative with respect to x or y.
Partial derivatives indicate the slope ( of z w.r.t y ) with x kept as a constant at some particular point . Now , how are we sure that the slope is maximum at that point ? Because , to construct the direction of the del operator, we need maximum change of z w.r.t y and not just any change... So , if dz/dy (x contstant) indicates the slope w.r.t y at some point and similarly dz/dx (y con) indicates the slope w.r.t x at the same point , then , does the gradient indicate the maximum change of z still , or should we choose that point at which the slope (of z w.r.t x and y ) are maximum ?
@@abhishekkj3662 I too have this confusion and I thought someone would have answered you in these years. Miller told almost the answer usually written in books but with a caution that one can conceive a function for which gradient may not point in the direction of maximum rate of change (and poor me, I cannot either conceive such function 🤣), but I am still searching these videos and comments for the same answer. One guy above who proved mathematically seems quite good and hope he answer from intuitive point of view.
Thank you so much for video! Event in big universities there is little effort to provide resources for students to help them visualize concepts in linear algebra. Using videos like these in the curriculum would make a huge difference.
hello, I know that this video is a bit old, but if I may ask, what's the function at the start of the video, I would like to practice and these functions always seem fun and graphic. if you could retrieve this info I'd be very thankful! :D
Probably a sum of different gaussians, each one in the form e^(-(x-a)^2-(y-b)^2) where a and b are the coordinates you want for the center of the gaussian
After two weeks of staring vacantly at clumsy and confusing analogies, FINALLY I get the intuition behind the gradient. The computation and the analytical representations were never difficult for me but it nagged me that I couldnt visualize it. Thank you!
استمر يا صاحب القناة فأنت تقوم بعمل رائع !!!!! فبمساعدتك فهمت معنى غراديان متجهة ما ..... تعميم في 3 أبعاد أو أكثر للاشتقاق في بعد واحد ... الشكر موصول للمترجم محمد مصطفى موسى....
Every time I go through a simple lively and very intuitive explanation of Math, I well with a lot of joy. I am very happy I came across this video. Earned yourself a subscriber, and much much love
I have a really great intuition of this in machine learning topics (gradient descent & optimizing), this is really helpful and makes learning about not only ML but the maths behind it clear!
the part of about treating the partials as vectors is really the money shot. i was always confused what the partial values actually did in the equation but now i understand it contributes to the height of z, both variables do. thus the net height contributions of both partials makes the gradient, you are the man
Your videos are simply fabulous! What major channels couldn't explain to me in 2 whole videos consuming almost 20 mins, yours did it in 5!! Again, amazing videos. Do keep up the good work.
I should be honest here.... I am fan of 3b1b, Dave sir, Bazett and Sir Ghrist and I watched videos of all of them regarding gradient, but this one cleared the deepest essence of Calculus right at this interval. 3:54 - 5:24 Thank You very much!! Many Respect
I did this discipline in the past semester and was can't pass through (I repeat the discipline). At this semester I'm doing Calculus II again and I wasn't understanding Grad until this video. Thank you so much !
the great information that I took from this video is that the arrow is always pointing to the top of the mountain, this is very important concept in deep learning
these videos will make u immortal....it might not viewed much ..but when world will come to senses...they will appriciate u...please more videos ..multivariable calulas
I thank you from the bottom of my heart for making such beautiful videos and helping humanity understand all monotonous things that they dont even care about. U r simply awesome.
Eugene's videos just keep getting better and better! I love the math topics discussed recently. I could never quite understand them as a student, and I am pretty sure some of the teachers couldn't either. Explaining in this way is a revelation!
This video did an absolutely amazing job getting me to understand gradients. I was trying to learn gradients/partial derivatives to understand the math behind optimization functions in machine learning. Thank you!
Excellent Excellent Excellent !! I always knew that dz/dx meant keeping y constant with changes in z wrt x, but your presentation just made it so clear.
A very good legendary work for physics. These such awesome creators make me realise that knowledge does not require long hours of hardwork and stuffs like that but the dedication and the ability to feel the beauty of the subject matters a lot . I would like to encourage the team to expand it's beautiful pedagogy of explaining concepts in every subjects and disciplines that exist around us.
Thanks a lot, i m studying the use of gradient in chemistry but i did not know what a gradient is. After searching on google I have found this video and believe me its "best" and beside this i dont know how should i express my gratitude of thanks. Really thanks a lot for such a beautiful 3-D visualization and for teaching the meaning of gradient as well :)
Thanks for such a nice and simple explanation! I love how you use physics visualization examples to teaches math and concepts that’s difficult to understand.
Thank you for delivering for such a wonderful content.I always watch your videos to get a deep intuition as a physics student as you describe nicely "WHAT IS GOING ON IN HERE ACTUALLY??" rather than accepting and doing the mathematics only.Thank you so much.I hope someday I can meet with you in person to thank you all in a better way. God bless you and your entire team.
Excellent use of graphing and technology to explain the concept. I had already spent around several hours understanding this Gradients and Partial Derivates BUT this 5 mins video just KILLS them all. Best video on the Topic Immediately SUBSCRIBES! Thankyou soo much for great content. Please keep it up
I think there should be more people teaching mathematics and physics the way you do it! You do a great job in making abstract concepts more graphical and choose really interesting topics, you really show the beauty behind those subjects. Thank you very much for using media like youtube to motivate people and to show that such technologies have also the power to enhance thinking. Thanks again for posting such great videos : )
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.
Why don't you make a membership function for your account for donation?
@@mustafanaser9789 My videos will always remain free for everyone. But, if people want to donate, they can do so through my Patreon page at www.patreon.com/EugeneK
Thanks.
Can you make some videos on EMT which can the subject a bit lucid...humble request 🙏🏻🙏🏻
I can't understand yet, sum of vector i and j to x, y axis also a vector in x,y plane, how that show z's change
Uyuyuy u hu it it usse usse usse fd fd F7YY for for fulfilled fulfilled FUGLLLLLLLCU FUGLLLLLLLCU FUGLLLLLLLCU fdfd fd fd fd fd fd fd fd fd fd clg clg clg clg clg clg clg ch fd fd fff fff fff fff fff fff fff clg clg clg clg clg clg clg clg clg clg clg fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff fff cu
Such an amazing and easy to grasp explanation, which universities fail to deliver en masse.
Glad you liked my explanation. Thanks.
The quality of explanation is always functions of time and technology.
Support
Great explanation AND great music!
Hungarian Rhapsody No. 2 for anyone wondering!
+Cow Norris, thanks. I am glad you liked my video, and the choice of music.
Physics Videos by Eugene Khutoryansky but it's always the Hungarian rhapsody with you.
Great videos Eugene. I would be interested in adapting them to Economics. What is the software you use to design the animations?
Philip, I make my 3D animations with "Poser."
Amazing videos.. That were what i was searching for..
I started with studying about Neural Networks, which led me to a Multilayer Perceptron, which led me to the Backpropogation algorithm, which led me to the calculus of gradient descent and it's intuitive meaning, which led me to a doubt, which led me to searching about the meaning of partial derivatives and gradients and that led me to this video and I have finally clarified my doubt. Thank you Dr. Eugene, your videos are amazing.
Hahah I could relate,mine started form 3D modeling 💀💀
Your methodology for teaching is very conducive to learning concepts that aren't really all that intrinsically difficult to understand, but that are commonly hard to learn because of the way the information is commonly presented. Good job and thank you!
Thanks for the compliment.
I am a science student and whenever a I am in trouble understanding a concept I seek help of your videos. Thank you so much. Love from India.
I am glad my videos ahe helpful. Thanks.
I am really pleased with the way you provide intuition to the mathematics. I always find this helpful.
+Kiran Adhikari, thanks. I have always believed that having this type of intuition is more important than memorizing the equations.
+Physics Videos by Eugene Khutoryansky Absolutely. It also makes you more able to apply it to real problems because you know what's being the equations.
@@EugeneKhutoryansky ; wow. what a great philosophy. I really hope that this will be the future. Teaching and learning would then be full of fun for everyone :)
Beautiful! Every video is a gem. This is what's been missing from the higher education system. I hope you get to a level where you can higher animators (or take volunteers) and blow this thing up to Khan Academy status. I can absolutely see this happening, please keep it up!
+AlphaOmega, thanks for the compliment. Though, I am fairly confident that I will always still be doing all my own animations.
+Physics Videos by Eugene Khutoryansky Nice to see some visualization :D.
About 65 % of people are visual learners
+Musa Yusuf By "Khan Academy status" I was referring to popularity and success. Eugene's videos are clearly of superior quality but also fundamentally very different from Khan Academy videos.
@@EugeneKhutoryansky I would like to do animations for my expertise field, I wonder which tool do you use to make those amazing graphics??
@@jhalvico he uses Poser, it's an animation software for Mac.
simple but very helpful . just five min better then 1 hour of my college talking
In the complex world of mathematics, you have helped me understand the gradient. Thanks a lot.
I am glad my video was helpful. Thanks.
I've been trying to comprehend the physical intuition for years. Thank you so much!
Excellently done! Step by step, and you may have just saved me an hour for grasping a concept!
Thanks. Glad to hear that you found my video useful and that you liked it.
This really helped me understand the concept of the gradient. I finally understand how the gradient relates to the partial derivatives and why the it points in the direction of greatest increase in z. Thanks for putting it together! What would be super cool would be an animation of the gradient changing along with the x and y components as the dot traversed the surface.
I am glad my video was helpful. Thanks.
Elegant and eloquent--the best graphical intuition and explanation on the topic I've seen thus far.
Thanks for the compliment about my video.
Thank you Eugene. You are a true visionary in terms of how using visualization one can give ' real life' and better understanding to the complex math and statistical concepts. Wish I had this available in my college times.
Very well explained, a breakthrough for many who were struggling from long time in understanding the concept. Can't be better than this! Keep it up.
Thanks for the compliment about my explanation. More videos are on their way.
If you like this video, you can help more people find it in their UA-cam search engine by clicking the like button, and writing a comment. Thanks.
What animation software do you use? Very nice
+Chike Ezebilo, I use "Poser" to make all my 3D graphics. And thanks for the compliment.
Thanks man
The only things that I really dislike about these videos are the Fundamental Missing Pieces in the explanations, which I notice at almost every video.
For example, here the it does not explain why gradient indicates the direction for which the function increases by the largest amount.
Missing explanations like that diminish the value of this channel by the largest amount.
If you fill the "explanation gaps" a little further, I believe your channel would be one of the very best.
Your videos are just amazingly helpful. Best visualization. Best channel
someone plz give this channel a nobel prize.... they derserve it!
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ua-cam.com/users/timedtext_video?v=GkB4vW16QHI&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.
where shall I find much more information about gradient?
Added subtitle in Turkish. Thanks for this great video!
I can't believe I didn't even know the basics what use was my education from 10th grade to uni I didn't even know the basics thanks for explaining everything so clearly
I did examples on partial derivative s 7 yrs ago and also scored good marks. But i understood what exactly it is today. Thank you, Hope more people try to understand what exactly it is rather than just solving numericals.
The best intuition on Gradient. Great Animation!
Was intimidated by the thumbnail. But boy, u made it a cakewalk. Love from India.
For the first time I'm seeing this type of explanation now I am able to understand what the partial derivatives and the concept of keeping x or y constant.x. very great teaching.
Thanks for the compliment and I am glad my video was helpful.
I have been a subscriber of your channel for more than a year now. I have seen your channel progress from the puppy picture, to the amazing quality of animation. I would like to thank you once again for continuing to make videos, and for being an awesome science UA-cam channel. You, along with many other UA-cam channels, have inspired me to be a science student. You're the best, Eugene!
Sincerely,
Ahnaf Abdullah
+Ahnaf Abdullah, thanks for the compliments. I am glad that you liked my videos, and I am glad to hear that I have helped inspire your pursuit of science.
Excellent stuff. By far the best channel on UA-cam for an introduction to this sort of advanced mathematics. I can't overstate how much I've learned from just a handful of these videos. Please keep doing this.
+Dyuman Bhattacharya, thanks for that really great compliment. Lots more videos are on their way.
Wonderful way of explaining and teaching concepts.
Thanks
+Nessim, glad you liked it. Thanks.
This video should be shown to all students learning integrals honestly. It is such a useful visualization, which really captures the reality of what the math is meant to model.
Thanks for the compliment about my video.
I hope you do more videos like this. I always try to imagine a landscape to understand multivariable related maths, but sometimes it's too difficult and I fail. I'd very much like you to explain the implicit derivation theorem in your own way.
After i searched gradient vector on the internet for half hour, this is the best explanation, becasue it is so intuitive and easy to understand !!!
Glad you liked my explanation. Thanks.
I can't thank you enough for helping me "see" these equations in color :) !!!
God bless you!
This is how easy the concepts are when the lecturer him self do understand them !♥️
Thanks.
Wow this is so helpful in helping me understand gradient descent!! Thank you!!
Glad to hear that my video is helpful. Thanks.
the most satisfying video about partial derivatives is yours. seeing mathematics this way is lot more helpful than to study it from books. thanks for the video.
Thanks. I am glad you liked my video.
Very powerful how you keep it all in the same shot this time. I often find that your "whoosh" and make things confusing, I hope you'll keep some of this style in the future.
A very solid intuition of gradient within 5 minutes. Nowhere else we can expect other than Eugene.
Thanks.
EVEN BYJUS ANAND SIR RECOMMEND YOUR VIDEO..EVEN THOUGH I AM A PREMIUM MEMEBER THEY SUGGESTED YOUR VIDEO☺️☺️😉❤️😀💯😍😃
Haha even I saw because of that only😅😂..
@@ganaa24 yo!!!! That's Good😆👍👍
I also came here after Aanand sir video on electric potential😀
@@dilrajrai7922 NICE...ITS BEEN A YEAR NOW..LOL...ALL THE BEST BUDDY
@@parthjoshi536 your comment is showing on top so i replied.
All the best to you too🙂
A week's worth of lectures condensed into a 5 minute long enlightenment! We need more videos like this👏👏
Thanks.
Thank you very much Eugene , this explanation is awesome I got my aha! moment
I beg of u plss never stop making more such videos that will help students to understand very fine
More videos are on their way. Thanks.
Your videos are so essential for understanding and strengthening basic concepts that they should be included in the syllabus of courses of all science colleges across the world!
Thanks for the compliment.
Pretty nice, quite difficult to digest the conclusion when adding the X,Y vectors to get the Z as gradient. Not sure how the gradient is built by the sum of those since you get their divisions but then add them up for a vector (what I wonder is how they translate in the gradient for visualization and not into a certain color at that point in the grafic for X, Y coordinates).
+Alexandru Gheorghe at every point there is a vector that points in the direction of greatest increase (with the length denoting how much that increase is). So instead of the colors, you could imagine all of the arrows everywhere but sometimes that might be more difficult to do/read from. Try googling 'gradient field' and looking through the images. You can find some examples of what I'm talking about. I hope this helps!
You turn the magnitude of each partial derivatives of z with respect to x or y into vectors, then add the vectors. The magnitude is the slope (the derivative), and the direction is negative or positive depending on the slope.
I got confused thinking about how you would add negative or positive vectors if the slopes were different signs, but in smooth functions, there is a gradual change, and if the function is all in the quadrant were x and y are positive, then only the change in z will be positive or negative.
So this is easy to visualize. The gradient is just the vector sum of the partial derivatives, and this gradient vector points in the direction the combined maximum amount of change. The hypotenuse of the triangle.
The colors in the video graphs only represent if the change in z is positive or negative with respect to x or y.
Partial derivatives indicate the slope ( of z w.r.t y ) with x kept as a constant at some particular point . Now , how are we sure that the slope is maximum at that point ? Because , to construct the direction of the del operator, we need maximum change of z w.r.t y and not just any change...
So , if dz/dy (x contstant) indicates the slope w.r.t y at some point and similarly dz/dx (y con) indicates the slope w.r.t x at the same point , then , does the gradient indicate the maximum change of z still , or should we choose that point at which the slope (of z w.r.t x and y ) are maximum ?
@@abhishekkj3662 I too have this confusion and I thought someone would have answered you in these years. Miller told almost the answer usually written in books but with a caution that one can conceive a function for which gradient may not point in the direction of maximum rate of change (and poor me, I cannot either conceive such function 🤣), but I am still searching these videos and comments for the same answer. One guy above who proved mathematically seems quite good and hope he answer from intuitive point of view.
Thank you so much for video! Event in big universities there is little effort to provide resources for students to help them visualize concepts in linear algebra. Using videos like these in the curriculum would make a huge difference.
I am glad you liked my video.
Hungarian Rhapsodie no2
This is what is required in our formal community education scheme.. Absolutely intuitive..
hello, I know that this video is a bit old, but if I may ask, what's the function at the start of the video, I would like to practice and these functions always seem fun and graphic. if you could retrieve this info I'd be very thankful! :D
Probably a sum of different gaussians, each one in the form e^(-(x-a)^2-(y-b)^2) where a and b are the coordinates you want for the center of the gaussian
You are my hero... This concept has been one of my hardest things to understand "intuitively" through out my college period. Which is not any more!!
I am glad my video was helpful and thanks for the compliment.
Holy shit! This video has a like dislike ratio of 544.5!
Now compare this ratio with all the other videos and find the derivative of the ratio of likes in terms of time.
After two weeks of staring vacantly at clumsy and confusing analogies, FINALLY I get the intuition behind the gradient. The computation and the analytical representations were never difficult for me but it nagged me that I couldnt visualize it. Thank you!
I am glad that my visualization was helpful. Thanks.
Awesome work. This kind of teaching may make math more understandable and enable the students to grasp the concept easier instead of mugging up.
Nice visualisation. Nobody can explain this mathematical concept better than you. Thanks for your efforts.❤️❤️
Thanks for the compliments.
sooo goood! words cannot describe how grateful i am!
Thanks for the compliment. I am glad my video was helpful.
استمر يا صاحب القناة فأنت تقوم بعمل رائع !!!!!
فبمساعدتك فهمت معنى غراديان متجهة ما .....
تعميم في 3 أبعاد أو أكثر للاشتقاق في بعد واحد ...
الشكر موصول للمترجم محمد مصطفى موسى....
Every time I go through a simple lively and very intuitive explanation of Math, I well with a lot of joy. I am very happy I came across this video. Earned yourself a subscriber, and much much love
I am glad to have you as a subscriber. Thanks.
I have a really great intuition of this in machine learning topics (gradient descent & optimizing), this is really helpful and makes learning about not only ML but the maths behind it clear!
I am glad my video was helpful.
that's just superb, hats off to the patience of all the people the creator, animation and the team...
Thanks.
the part of about treating the partials as vectors is really the money shot. i was always confused what the partial values actually did in the equation but now i understand it contributes to the height of z, both variables do. thus the net height contributions of both partials makes the gradient, you are the man
Thanks. I am glad my video was helpful.
Your videos are simply fabulous! What major channels couldn't explain to me in 2 whole videos consuming almost 20 mins, yours did it in 5!! Again, amazing videos. Do keep up the good work.
Thanks. More videos are on their way.
India's rote learning has never taught this magical concept that you explained. It's crystal clear.
It is not just India. This is a problem with education systems in all countries. I discuss this in my video at ua-cam.com/video/k6QhhocnZ-M/v-deo.html
I should be honest here.... I am fan of 3b1b, Dave sir, Bazett and Sir Ghrist and I watched videos of all of them regarding gradient, but this one cleared the deepest essence of Calculus right at this interval. 3:54 - 5:24
Thank You very much!! Many Respect
Thanks for the compliment about my video.
This is so helpful, visuallizing it is so much better than just hearing it
I did this discipline in the past semester and was can't pass through (I repeat the discipline). At this semester I'm doing Calculus II again and I wasn't understanding Grad until this video. Thank you so much !
I wish we had such graphics visualisation 20 years Earlier. Teacher worked hard to explain all on black board with chalk .
*Best video for visualising partial differentiation and gradient 😍*
Thanks for the compliment about my video.
@@EugeneKhutoryansky 🤗
Please be noted that I was highly benefited by all of the videos. Thanks......
Glad to hear that.
the great information that I took from this video is that the arrow is always pointing to the top of the mountain, this is very important concept in deep learning
Thank you!👍
These visualizations adds meaning to why we are solving gradients and why we need them!
Thanks.
u r simply the best. I had a confusion in understanding gradient concept but with this video i am completely spell bound. I hereby salute u.
Videos like this are helpful to link the mathematics with the physical world phenomenon. This is a great representation
Thanks for the compliment.
these videos will make u immortal....it might not viewed much ..but when world will come to senses...they will appriciate u...please more videos ..multivariable calulas
your channel is pure gold
God bless the good people who's efforts amount to such important contributions to society !
They truly are missing from the "formal" education system!
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great visualisation!
Thanks.
Thank you to creators of this video. You saved my time. Love from India. God bless you. 😇
Thanks.
I thank you from the bottom of my heart for making such beautiful videos and helping humanity understand all monotonous things that they dont even care about. U r simply awesome.
Thanks for the compliment. I am glad you like my videos.
The best video I have ever watched on partial derivatives. Blew my mind.
Thanks a lot.
Thanks. Glad you liked my video.
Most efficent way to explain gradient.Thanks.
Thanks.
This is a FANTASTIC video. Excellent visual & intuitive explanation.
Thanks for the compliment about my video.
how can people miss such a great channel like this ????
You are the Best Ever To Visualize Toughest Things / Subject of Physics
+colorado wilderness, thanks.
Probably one the best videos on partial derivative.
Thanks.
Eugene's videos just keep getting better and better! I love the math topics discussed recently. I could never quite understand them as a student, and I am pretty sure some of the teachers couldn't either. Explaining in this way is a revelation!
+StarFury2, Thanks for the compliment.
This video did an absolutely amazing job getting me to understand gradients. I was trying to learn gradients/partial derivatives to understand the math behind optimization functions in machine learning. Thank you!
Glad my video was helpful. Thanks.
Excellent Excellent Excellent !!
I always knew that dz/dx meant keeping y constant with changes in z wrt x, but your presentation just made it so clear.
Thanks.
Thank You. My quest for the intuition of taking partial derivative to address change of direction of function , finally ends here, with this Video.
Thanks. Glad my video was helpful.
these 3D animations are mind-blowingly helpful
A very good legendary work for physics. These such awesome creators make me realise that knowledge does not require long hours of hardwork and stuffs like that but the dedication and the ability to feel the beauty of the subject matters a lot .
I would like to encourage the team to expand it's beautiful pedagogy of explaining concepts in every subjects and disciplines that exist around us.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐
Thank you, Eugene! This video gave me a much needed intuition for the gradient operation.
Glad my video was helpful. Thanks.
Thanks a lot, i m studying the use of gradient in chemistry but i did not know what a gradient is. After searching on google I have found this video and believe me its "best" and beside this i dont know how should i express my gratitude of thanks. Really thanks a lot for such a beautiful 3-D visualization and for teaching the meaning of gradient as well :)
Thanks. I am glad you liked my video that much.
I really like the way you make videos. It is so fundamental that all students need to understand it. Thanks a lot
Thanks. Glad you like my videos.
Thanks for such a nice and simple explanation!
I love how you use physics visualization examples to teaches math and concepts that’s difficult to understand.
Thanks.
This is so amazing. Beautifully explained in words and pictures.
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After viewing numerous videos, I've at last obtained the clarification I needed with this video.
I am glad my video was helpful.
my soulfully thanks to you giving such information to the world of students, now knowledge is not bounded.
Marvelous visuals. Should be mandatory in classes.
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This is the best visualization I've seen on youtube. Thank you.
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Thank you for delivering for such a wonderful content.I always watch your videos to get a deep intuition as a physics student as you describe nicely "WHAT IS GOING ON IN HERE ACTUALLY??" rather than accepting and doing the mathematics only.Thank you so much.I hope someday I can meet with you in person to thank you all in a better way. God bless you and your entire team.
Thanks for the compliments. I am glad you enjoy my videos.
You are such an angels guys. Thanks a lot for your videos! I take airspace engineering and i never get tired of admiring the beauty os Calculus!!!
Thanks.
Excellent use of graphing and technology to explain the concept. I had already spent around several hours understanding this Gradients and Partial Derivates BUT this 5 mins video just KILLS them all.
Best video on the Topic
Immediately SUBSCRIBES! Thankyou soo much for great content. Please keep it up
Thanks for the compliment about my video and I am glad to have you as a subscriber.
I think there should be more people teaching mathematics and physics the way you do it! You do a great job in making abstract concepts more graphical and choose really interesting topics, you really show the beauty behind those subjects. Thank you very much for using media like youtube to motivate people and to show that such technologies have also the power to enhance thinking. Thanks again for posting such great videos : )
Thanks for the compliment about my graphical way of presenting these topics in my videos.
Thank you for explaining so briefly and so beautifully with the help of graph❤️
Thanks. Glad you liked my explanation.
Your explanation is better than University lectures ❤️❤️.
Thanks.