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is there any way to find which video of yours contains the lemma/theorem being reffered to? Like where do i find lemma 2.21?

Can someone explain the r came from where???

why intergrate -2 to 2

Thanks so much! This certainly helped, however I missed the point of why the second one (from top) is non-linear.

big thanks my brotha.

Hey Erin! I can't express how much this video has helped me understand the basic concept of classification. Kudos to you for explaining it so lucidly. Keep up the good work! Thanks!

Thanks for providing this essential information. Your material helps to briefly recap the basic of it.

If you calculated the curl and scalar multiplied by the normal of the parameterization of the parabaloid surface it would have been the same? meaning using stokes from the other direction

Really helpful, thanks. If a set of polynomials spans P4 is it correct to assume it will also span P3, P2, P1...?

tysm sir you saved my ass

very straightforward and obvious proof, Thanks!

4:02 should be dividing the first row by 2 or multiply by 1/2* Thank you so much for the lesson Erin!

Sir give me the pdf for Poisson integral formula.

very nice

Thanks

Which book are you following

Wow the picture made it click so fast, thank you!

so Duhamel's principle consists in translating the original problem into a situation in which the external force begins to act at the beginning of the evolution of time?

This is clear and precise

I feel like your leaving out the fact that theres a dot product and a laplacian going on here.

The hypothesis that A is linearly independent is used to show that in each step, a “w “is removed and a “u” is added. It is never the case that a “u” is removed. This is because the linear dependence lemme would then imply that that u is a linear combination of the previous u’s. This contradicts the linear dependence of A.

thank you

did you forget to multiply c'(t) maybe ?

your handwriting is so nice

thanks a lot❤

Thanks for the course! I love it. If there is anyone watching this course from Korea, I think I could recommend the book '선형대수와 군 - 이인석' because of its course structure and notations.

thankss

Thanks for video, especially explanation about union

At 10:10 you note that 86/3 and 81/3 are the same. It's just a small algebra mistake, but they should both be 86/3

Small mistake at 9:03 f(0,+-1) should be =4. The graph with the level curves and the constraint eq shows this

awesome, great explanation !

thank you for posting you have helped many

there is very loud background noise

What is the geometric term for the topology of the external ring of the torus?

Parametrization of Hexaflexagon?

Thanks so much for this!

I love the explanation below since this tells why the differential equation is "Linear" L(u+v)=L(u)+L(v) and L(c*u) = c*L(u) Anyway, nice video!

Which book is being mentioned, or followed??

thanks for this u explained it way better than my book

did you forget the constants for the Bn term cause it looks like there is an n*pi*c/l term missing when you do the time derivative initial condition. Anyways thanks for the tutorials!

whats the point of normalizing the nomal vector. just leave it as it already has the jacobian

Thank you so much! You have offered a really clear explanation!

I need this parameterisation in single variable 't'😒

Hi, why do you have a dx at the final solution. This should only be in the case -inf<x<inf, right?

at 3:55 wouldn't it be (R+rcosv , rsinv) with an extra little r factor on the second coordinate? since that's the parametrization of the blue circle

Please never remove this. I'm putting the link down in my notes because this sh*t got me the aha moment and I'm so grateful. Thanks for explaining this parametrization! Super super helpful

i may be mistaken but i think there is a typo when you wrote the expression for the double integral, i think it should be (cos(theta)sin(fy), sin(theta)sin(fy), cos(fy)) dot (normal vector). although im not too sure

Worse

Very poor lecture

this has to be one of the worst math videos on youtube