I know this sounds like a silly question but how did you get to understand such situations in math? Was simply reading the textbook helpful/did you need to read or procure other resources? How did you find them and know the difference between what would be helpful vs what would not? Thanks a lot, fascinating video as always.
when you said the jacobian could be shown in a different video, I got sad cause that's what I wanted to see lol otherwise, this was cool to watch :) I've used the gaussian integral a bit recently in my physics classes, but never really knew where it came from. Also, sqrt(pi)/2 is (1/2)! I assume they're related.
The matrix was likely used to compute the Jacobian. The determinant of the Jacobian matrix yields the scale factor of the linear transformation essentially.
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Great explanation. One wouldn’t even need to know multivariable calculus to understand this.
I agree
Would be interesting to recollect how Jacobian is introduced, and how it's inferred in general
Very smart. The result sqrt(pi) is related to circle or polar coordinates. Coordinates conversion simplifies the solution.
The Best! I'm a Brazilian fan!
Great explanation and blackboard technique!
Your explanations are perfect!
I know this sounds like a silly question but how did you get to understand such situations in math? Was simply reading the textbook helpful/did you need to read or procure other resources? How did you find them and know the difference between what would be helpful vs what would not? Thanks a lot, fascinating video as always.
Great videos!
For the first person tanks for an other video ..teacher
Ur greatest funny mathematican
I remember when I thought this technique smacked of trickery. Then I learned of Feynmann's technique and the world stopped making sense altogether.
We shall visit Feynmann soon 😆
This is really the way to do it !
You are so so great guy!! Thank you :))
Thanks for arranging this.
Great explanation!
Respect! Multumesc din Romania!
when you said the jacobian could be shown in a different video, I got sad cause that's what I wanted to see lol
otherwise, this was cool to watch :)
I've used the gaussian integral a bit recently in my physics classes, but never really knew where it came from.
Also, sqrt(pi)/2 is (1/2)! I assume they're related.
Does that mean I have to watch like 2 other videos just to understand the full concept?
Bless You!
One thing that is passed without saying explicitly is that Z is an integer in this derivation. This is therefore not a general definition
Из 3,14 а частицы начинают с 2.
Great❤
Nice 🌵
Recently is solved by Double integral and transfer it to polar ordinance and no need use IxI ?
Yoooooo.... super cool
Prove that dx.dy=rdr.d(Theta)
I saw a sped up proof of this and it was going into matrices and all sorts, has anyone come across that before?
The matrix was likely used to compute the Jacobian. The determinant of the Jacobian matrix yields the scale factor of the linear transformation essentially.
How can I integrate (1/(1+e^x))dx
Multiply both the numerator and the denominator by e^(-x), equivalent to multiplying by 1. After that, a substitution will be very obvious.
ruclips.net/video/hUIfJt4k0Hg/видео.html
@@znhait You're right, a substitution did become obvious.