Thank you for making this video. I have been looking for an introductory level video about Hamiltonian mechanics, and this filled the gap. You have put a lot of effort in the animation, and it really adds to the presentation. To make this even better, I would recommend working on the pacing of the animation. There were many times that things would be shown on the screen, only to flash away before I could absorb what was being shown. So I would have to pause or rewind. Overall, you have done a great job. Keep up the great work!
Thank you for such kind words. I’m sort of still new at stop-motion animation so I’m still figuring out the best way to do things, but I will definitely work on optimizing the animation pacing.
@@FermionPhysics no, it was very good. And you're very understandable. Stop doubting yourself. There is one minor thing I would suggest. Make the transition duration between the slides with just the equations a tiny bit longer. I had to pause the video to read them. But other than that - well done.
Omg! Thank you so so much my dude. So many important points mentioned here. As someone who has never learned it and is doing it now this really shows the ins and outs. Great contrast between them too!
Hello! Not using Newton's F = ma, allow me ask: 1 - Where does the { Action = Integral (K - U)dt} come from? 2 - Where does the {Lagrangian (K - U)} come from? 3 - Can I deduce that I must minimize the Action integral equation from minimizing the potential energy U? 4 - Can you elaborate? Thanks!👋
Aaaa loved the "language" part...just like religions are different languages,not different things..speak English, Spanish, math, hamiltonian, lagrangian, newtonian, catholic, christian, budism, zen etc etc❤
You got a stutter and a slur bro, it’s not a major problem but I think you should speak slower and in a more sound isolated room, with a good mic with a wind protector so that you can much more easily edit and re record some lines. An isolated room because you need to be able to control the environment to ensure the quality of the recording is consistent over all takes. Some suggestions is to split the script by sentences and punctuation, record up to a comma or a period. Add an EQ to get rid of the low frequencies and you’re good to go. Now not all stutters are bad, I find it quite endearing, adds character, but some lines should be re recorded. Other than that I like the explanation it’s very intuitive.
You didn't teach me Hamiltonian Mechanics in 10 minutes, I'm embarrassed to say. As Kevin Toppenberg pointed out, the things you flash onto the screen require a great deal more development to make this work. BTW, in Principia, Newton's actual second law is F=Delta(MV) - which is to say, the force (vis) Newton defines in his second law is what we now call impulse. (He defines motion as momentum, and a force is an action that changes a body's motion, so the quantity of force is the change in momentum - not the rate of momentum change. F=m*a is revisionism.) Therefore, real Newtonian mechanics may be closer to Hamiltonian mechanics than we are ready to admit.
@@FermionPhysics Using "gay" in the way it's being used here is highly offensive, especially in modern times. It's also one of those types of insults that only teenagers tend to use, so it makes you look like an immature teenager, which will result in your losing most adult audiences.
@@jay31415 well that was quite the reaction. I like humor-even if no longer considered pc. I hope you can enjoy the rest of the vid even with my teenager-ness haha.
@Fermion Physics To be clear, I am not offended. But, as someone who has used humor like this and learned to adjust, I can tell you that a huge percentage of your potential audience will be deeply offended by a very small number of politically incorrect phrases and you will lose viewers. If you want more viewers and less haters, adjust. If you get joy out of large numbers of people being pissed at you, I can respect that too, to each their own.
I have a stutter so it can sometimes be hard for me to say the whole word on the first go. I do not have full control over it. I’d prefer to continue making videos using my own voice as it makes them feel more personal to me, and hopefully gives encouragement to other people who stutter. Thanks for the feedback, though!
@FermionPhysics I dont normally reply to comment, but I thought I'd say that I find your voice much better than if you had used text to speech. although I agree it would be more coherent without the stuttering, I find learning things from a human voice much more comfortable. I also stutter often when trying to explain things so I can kinda relate, keep up the good content
Thank you for making this video. I have been looking for an introductory level video about Hamiltonian mechanics, and this filled the gap. You have put a lot of effort in the animation, and it really adds to the presentation. To make this even better, I would recommend working on the pacing of the animation. There were many times that things would be shown on the screen, only to flash away before I could absorb what was being shown. So I would have to pause or rewind. Overall, you have done a great job. Keep up the great work!
Thank you for such kind words. I’m sort of still new at stop-motion animation so I’m still figuring out the best way to do things, but I will definitely work on optimizing the animation pacing.
@@FermionPhysics I enjoyed the video, so hated to say anything. Just want you to keep making great content.
It was the most fluent way of explaining Hamiltonian Mechanics I've ever seen. As a biginer, I appreciate this basic videos a lot. Thanks 🙏
I just now understand what a phase state is for the first time! Thanks a bunch!
Your video is awesome! Well done. You take what could be considered a complex subject and break it down into simple concepts. Keep up the good work.
Thanks for the comment! I was kinda nervous about the quality of this video, and how understandable I was, so your words are very assuring :)
@@FermionPhysics no, it was very good. And you're very understandable. Stop doubting yourself. There is one minor thing I would suggest. Make the transition duration between the slides with just the equations a tiny bit longer. I had to pause the video to read them. But other than that - well done.
Omg! Thank you so so much my dude. So many important points mentioned here. As someone who has never learned it and is doing it now this really shows the ins and outs. Great contrast between them too!
Thanks! This really made me smile
thank you so much. this is the best explanation i have seen so far
Well done, this is great!!
Wow, the first time a big youtuber commented on my channel. Thanks! Love your content too :)
Great video mate, nice comparison between Newtonian, Lagrangian and hamiltonian on the same problem. Thanks for making it!
Hello! Not using Newton's F = ma, allow me ask:
1 - Where does the { Action = Integral (K - U)dt} come from?
2 - Where does the {Lagrangian (K - U)} come from?
3 - Can I deduce that I must minimize the Action integral equation from minimizing the potential energy U?
4 - Can you elaborate?
Thanks!👋
This was truly helpful, your explanation was precise and great. Thanks a lot sir!
Thanks! That means a lot
Very helpful thanks man. Laughed out loud at Lagrange’s speech bubble too 😂
Glad you liked it!!
Very good explanations and animation. Thanks for the video!
Thanks!
Yeah you have a legit fan here
Omg this helped me so much! Thank you for this! 😭✨
Glad it helped!
This is a really well made video, I would just recommend slowing down while you speak and this will be perfect.
The animations are so cool
Aaaa loved the "language" part...just like religions are different languages,not different things..speak English, Spanish, math, hamiltonian, lagrangian, newtonian, catholic, christian, budism, zen etc etc❤
This video is amazing
Wouldn't the phase space for two particles be twelve-dimensional? Each has three apiece for position and momentum, so 3+3+3+3 = 12.
Yeah, I was thinking of 3 particles.
Thank you!
You’re welcome!
great vid! lets get rid of those gay forces😂
Yesssir
That formula is longer than the alphabets
You got a stutter and a slur bro, it’s not a major problem but I think you should speak slower and in a more sound isolated room, with a good mic with a wind protector so that you can much more easily edit and re record some lines.
An isolated room because you need to be able to control the environment to ensure the quality of the recording is consistent over all takes.
Some suggestions is to split the script by sentences and punctuation, record up to a comma or a period. Add an EQ to get rid of the low frequencies and you’re good to go.
Now not all stutters are bad, I find it quite endearing, adds character, but some lines should be re recorded.
Other than that I like the explanation it’s very intuitive.
Who cares about his stuttering? Apparently only you. And you probably never heard of Steven Hawkins.
@@playgirl7305 Stephen you mean. And Hawking.
Can we say that water is H2O?, all you have to do is cross the mexican border and over there is AQUA.
You didn't teach me Hamiltonian Mechanics in 10 minutes, I'm embarrassed to say. As Kevin Toppenberg pointed out, the things you flash onto the screen require a great deal more development to make this work. BTW, in Principia, Newton's actual second law is F=Delta(MV) - which is to say, the force (vis) Newton defines in his second law is what we now call impulse. (He defines motion as momentum, and a force is an action that changes a body's motion, so the quantity of force is the change in momentum - not the rate of momentum change. F=m*a is revisionism.) Therefore, real Newtonian mechanics may be closer to Hamiltonian mechanics than we are ready to admit.
🍝🦆
I agree
what does that mean
Is it me or is he stuttering like shit?
Rest is good tough
Forces are gay 😂
I got 4:09 into this and turned it off. WTF! Clean up your act!
What did you not like about it?
@@FermionPhysics Using "gay" in the way it's being used here is highly offensive, especially in modern times. It's also one of those types of insults that only teenagers tend to use, so it makes you look like an immature teenager, which will result in your losing most adult audiences.
@@jay31415 well that was quite the reaction. I like humor-even if no longer considered pc. I hope you can enjoy the rest of the vid even with my teenager-ness haha.
@Fermion Physics To be clear, I am not offended. But, as someone who has used humor like this and learned to adjust, I can tell you that a huge percentage of your potential audience will be deeply offended by a very small number of politically incorrect phrases and you will lose viewers.
If you want more viewers and less haters, adjust. If you get joy out of large numbers of people being pissed at you, I can respect that too, to each their own.
you didn't miss much. he's a kid from nigeria who still lives at home with his mommy. you know the rest.
Please improve your articulation.
I personally heard you just fine.
might want to use AI next time to narrate. difficult to understand your pronunciation.
I have a stutter so it can sometimes be hard for me to say the whole word on the first go. I do not have full control over it. I’d prefer to continue making videos using my own voice as it makes them feel more personal to me, and hopefully gives encouragement to other people who stutter. Thanks for the feedback, though!
@FermionPhysics I dont normally reply to comment, but I thought I'd say that I find your voice much better than if you had used text to speech. although I agree it would be more coherent without the stuttering, I find learning things from a human voice much more comfortable. I also stutter often when trying to explain things so I can kinda relate, keep up the good content
@@FermionPhysicsyour stutter is fine, don't worry a bit about it