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Awesome, just the right level of detail to give a decent intuition.

Thanks!

Thanks!

Thank you

Great ❤❤❤ please videos on textbook recommendations 🙏 🙏🙏 thanks !

Brilliant

8:43 why the off-diagonal term (integral von xy) measure the distance to lines x=y??? there is not even an z ​​component here!

so well constructed and so well spoken!! tysm

Didn’t need to read out the whole expression 😭 LMAO

1:56 "Euclidean space, dual spaces are isomorphic." WHAT? Repeated this a million times and still don't know what she means.

That accent 😶

why is the velocity v_i in the direction of r? (4:38)

Can you please make more videos?

1:52 "Euclidean space, dual spaces are isomorphic." WHAT?

私も実験していますが、回転体の向きを変えると、表向き裏向きの慣性力が働くようです。

Beautiful animations, but too much text to read while listening you you talk really fast at the same time.

This channel is a gem for physics students. Subscribed.

Hello! May I ask a question? If I want to transform moment inertia tensor from Cartesian to spherical coordinate, how to do it? Thanks!

Amazing videos!, Saving fellow undergrads like us who just need a little push in the right direction of math🙌🔥

2:53 You meant as n goes to infinity didn't you?

Nice explanation!

My hair is so beautiful and luxurious😉.

I assume you are already famous but trust me you deserve to be more famous. Thanks for sharing your knowledge.

Love your videos !!

Thanks for all the amazing works! This is such an underrated channel.

amazing video

I wish I'd never heard of 'vocal fry' because the narrator has it to the max & I cant ignore it.

For which standard this topic is for??

these are great

why didn't rotated about x-axis ?

Is this the 3b1b animation engine? So beautiful. I know how to numerically solve ODEs but couldn't be bothered to listen to a PDE lecture, so this video was perfect for me.

I don't think this was any more valuable than just reading it in any text book, this doesn't help develop my understanding further as it's just regurgitating the same old "stuff".

Very helpful, currently studying for physics quals

Enjoyed this...at (e.g.) 9:10, why do you use cursive delta in the integral? At 8:17 also, dA = Int (n.v dt)dg and all the d's are cursive, like variational notation?

You deserve so many more subscribers. Each of your videos is a divulgation masterpiece.

Why do the best video have the least views, this channel is so underrated. Great video as usual!

3B1B vibes

The "proof" given at 6:36 doesn't seem too convincing, at least visually I can imagine a lot of points outside A(t) where the trayectorias do not cross. Besides that, great video and a very good topic

Sehr gut

Wonderlful explanation. Very much appreciated!

I like calculus of variations but i dont know how to learn it. What books do you recommend?

One point of critique, you show a phase space plot with spiralling motion. However, Hamiltonian systems never have a sink or source at a singularity. Great video nonetheless!

Work on that sound quality

it's a very cool video and I'm sorry to point that out, but are you sure about the last poisson bracket at 14:43 ? I think that it should be equal to the angular momentum, at least in QM.

Thanks!

Linear algebra has only orthogonalization process to get orthogonal polynomials but there are faster ways to get these polynomials

Very nice and clear derivation!

I can't figure out the logic behind the calculation of the residues when the imaginary unit is involved: using the Matlab calculator, the final result of the last integral in the video would be pi/2i -pi/(2sqrt(3)). I tried to do the calculation using the residue theorem arriving at the same conclusions as Matlab. Instead, if I traditionally solve this integral with substitutions and simplifications, I arrive at the correct result, pi/sqrt(3). The point is this: I don't get the reason Res(f, i) = -1/2 and Res(f,-i)=e^(-i2*pi/3)/2, as you say. From my calculations, Res(f, i)= i^(1/3)/(2*i)= e^(i*pi/6)/(2*i) = (-i/2)*e^ (i*pi/6) = (-1/2)*e^(i*pi/2)*e^(i*pi/6) = (-1/2)*e^(i*2*pi /3). Similarly, Res(f,-i) = (-i)^(1/3)/(2*(-i)) = e^(-i*pi/6)/(2*(-i)) = (i/2)*e^(-i*pi/6) = (1/2)*e^(i*pi/2)*e^(-i*pi/6) = (1/2)* e^(i*pi/3). Why is this not correct?