Sabetta Talks Math

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@longsarith8106 17 сағат бұрын

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

@vize_vids950 8 күн бұрын

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

@rohinbardhan222 9 күн бұрын

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

@fikrulihsanarifin1301 11 күн бұрын

Nice explanation!

@eithanarelius008 22 күн бұрын

My hair is so beautiful and luxurious😉.

@arpitdwivedi9175 29 күн бұрын

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

@dawintch4596 Ай бұрын

Love your videos !!

@dawintch4596 Ай бұрын

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

@varshini-u2q Ай бұрын

amazing video

@DrTWG Ай бұрын

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

@clip.z Ай бұрын

For which standard this topic is for??

@absolutedesi5899 28 күн бұрын

This is taught in college/university. Or maybe you can do this for JEE Advanced (Indian entrance exam for engineering).

@clip.z 28 күн бұрын

@@absolutedesi5899 Yes I'm preparing for JEE only but this is not in our syllabus we have only scalars and vectors

@rootz1384 Ай бұрын

these are great

@milanrai3607 Ай бұрын

why didn't rotated about x-axis ?

@Talaxianer Ай бұрын

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.

@michaelarmata Ай бұрын

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".

@MultiCoolman125 2 ай бұрын

Very helpful, currently studying for physics quals

@eastofthegreenline3324 2 ай бұрын

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?

@martipardo2473 2 ай бұрын

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

@zaynbashtash 3 ай бұрын

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

@kierkegaard54 3 ай бұрын

3B1B vibes

@kierkegaard54 3 ай бұрын

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

@manfredbogner9799 3 ай бұрын

Sehr gut

@osmanhussein3893 4 ай бұрын

Wonderlful explanation. Very much appreciated!

@spazmoidectomorf6209 4 ай бұрын

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

@MGB-wz3jz 4 ай бұрын

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!

@caleb7799 4 ай бұрын

Work on that sound quality

@gianluca4744 5 ай бұрын

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.

@greedskith 5 ай бұрын

Thanks!

@holyshit922 6 ай бұрын

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

@ihmejakki2731 6 ай бұрын

Very nice and clear derivation!

@FloremsanguinisIt 6 ай бұрын

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?

@datelessmanitee8808 7 ай бұрын

Goat

@wouterantvelink3269 8 ай бұрын

could it be correct that c1 in the first example is (L-s)/(aL) and not (L-s)/a or am I mistaken?

@wouterantvelink3269 8 ай бұрын

and that the integral for x>s is missing a minus sign in the video

@carolinaraquellagunarangel274 8 ай бұрын

Amazing thanks

@GoodenBaden 8 ай бұрын

Great content - subscribed!

@omarazami7377 8 ай бұрын

I wish these videos were around when I was taking undergrad classical mechanics!

@omarazami7377 8 ай бұрын

I can't say enough about how good this video is. And your other videos as well.

@omarazami7377 8 ай бұрын

These videos are outrageously well done!

@jennyone8829 8 ай бұрын

Thank you so much 🎈👽🪬☀️♾️

@programmingpillars6805 8 ай бұрын

but first what A TeNsah

@milanrai6988 9 ай бұрын

How do you find eigenvalues and eigenvector? Normal modes and normal coordinates?

@allstatechair5096 9 ай бұрын

Great video!

@dadingchen8323 9 ай бұрын

l^2/mu*r^3 should be centrifugal force not centripetal force

@Albert-Sun 10 ай бұрын

I like your video lecture, which is simple and clear. What software do you use for typesetting? thank you .

@JustinTimeCuber 10 ай бұрын

6:39 Wouldn't this be ε = 1 - 1/(λ^2)? This would also make more sense because 1 - ε is between 0 and 1, which would then imply that λ_2 is less than 1, which is clearly not possible because the rocket needs to increase its speed to raise its periapsis.

@lq_12 10 ай бұрын

I am not native english speaker. What do off diagonal elements mean??

@affafjunaid3814 8 ай бұрын

The elements inside a square matrix that do not lie on the main diagonal are called off-diagonal terms. If you write down a square matrix on a piece of paper, and draw a line through the matrix connecting the top left corner to the bottom right corner, all the elements that this line passes through are called diagonal elements. All the other elements are called off-diagonal elements. If you are familiar with matrix indices, then the diagonal elements are all those elements that have the same row and column number (i = j). And the off-diagonal elements are all those elements that have i not equal to j. Hope that clarifies 😊😊

@lq_12 8 ай бұрын

@@affafjunaid3814 Sorry 😔😔😔, that's the reason I clarified I am not a native English speaker. In the context of the inertia tensor what does non diagonal elements mean or say? Btw, thank you for the answer I liked it

@StevenDenenberg 6 ай бұрын

The inertia tensor is specific to a selection of axes. If all of the non-diagonal elements are zero, then the tensor is for the *principal* axes of the body. If the axes are principal axes, then a torque around an axis will only cause an acceleration of the angular velocity in *that* axis. If the non-diagonal tensor elements are not zero, then the axes of that tensor are not principal axes, and a torque around one axis can cause an acceleration of the angular velocity in a *different* axis!@@lq_12

@jacobsss5827 10 ай бұрын

really good materials

@얼음소년 11 ай бұрын

Good

@ihmejakki2731 11 ай бұрын

This channel is so good, leaving a comment for the algorithm!

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