Why π is in the normal distribution (beyond integral tricks)

At the end of the Video you mention thename of Kevin, who developed the formulas for n-dimensional spheres.
I could not understand his second name or find him amongst the patreon list.
could you, please, give me the second name.
thanks for this and, above all, your Videos!
Dieter

Why we can not use the gamma function to evaluate the integral

So cool that I just now found this video a week after showing that a random variable counting the number of arrivals as a function of time in a Poisson arrival process must be Poisson distributed using the same style of qualitative conditions -> e argument in the Herschel-Maxwell derivation; a month ago this would all have bewildered me but here I am seeing the same idea used twice!

Theres just one little hole for me: I dont understand why should we use multiplication when we say x and y are independently making up the f function (property 2 at the Wigner explanation). It all works because of that but I dont see why would it be necessary to use multiplication instead of something else like addition.

I like the ai images in this one

I can finally feel that the definition of normal distribution is worked out by human beings instead of coming out of thin air, what a great explanation.

Need to know if Wigner's statistician is the hot redhead. Asking for a friend.

We had a joke in our Further Maths class (all two of us😁):
if your answer's got pi in it, it's probably right
if your answer's got pi AND e in it, it's definitely right.

This was beautiful

I watched a part of this video already, but paused and after some time I came back to it. And this time, I stopped at the n-dimensional volume formula for the sphere, and man! I just can’t figure out the volume of ball boundary for n=1. Why should it be 2??

e has to do with circle

Man, how do you imagine these !

Amazing !!! Thanks a lot ! NOTE: It would be nice to build a 3D Galton "board" or a simulation ...

super awesome, thank you guys it was eye opening

much bla

What a great video.

прикольно увидеть математически правильное решение.... на физике меняли x^2=X*Y и интергрировали по двум координатам dXdY, в принципе сходится но в истинность слабо верится, хотя таокого в физике хватает

Great video. What is the software you are using to implement functions?

I keep finding in math that learning the history of how an idea was discovered serves to illuminate the idea in general, and makes the "modern" version of that idea so much more satisfying as well as easier to work with. Thank you as always.

I remember the bonus problem being the last problem in my integral calculus final exam... I love the professor now, but back then I would've killed him

this guy has such a creepy voice, stop quasi-lisping and smiling as you speak, it's insulting to your audience

This brings back so much memories. I remember the first time seeing this proof in my multidimensional calculus class. I was literally blown away when I connected all the dots. It’s so neat and trivial. I just realised how fun math was back in those days.

I just simply started learning normal distribution but was NOT satisfied with the explanation in the book for Probability density function (PDF) and Cumulative density function, I just started digging and asking why's on how the formula of PDF was deduced. And now I am watching this video. Mathematics is a dark and GORGEOUS !!!

great one

In calculating the micro-states of ideal gas what we have to do to calculate the volume of the n-dimensional hyper-sphere in our undergrade physics. The video is as always great.👍👍

Learning calculus has definitely influenced and changed my life. Thanks for the deep dive on one of my most inspirational problems in mathematics!

Pausing the video halfway to say that You are a magician 3Blue1Brown.

Amazing explanation and funny narrative 😃 Thank you for creating such beautiful content, keep it up 😃

What about central t-distribution and other symetrical family?

can someone explain why is it f(r)=f(x)*f(y) and not f(r)=f(x)+f(y) when grant mentioned they are independent?

Thqnk you very much.

Grant, thanks a lot for your work. You're really just one of a kind.

Amazing, Im speechless

Confirmed: pi is 4-dimensional

Pleease statistic series

@3blue1brown Can you do a series of electron probability distribution to explain atomic orbitals?

İ am waiting for a probability and statistics series .Please

Is there a vid by 3B1B explaining what's a gaussian?

oh my goodness the visuals are stunning. just when i thought 3b1b videos couldn’t get any better!

3b1b officially passes the Bechdel test

that "who ordered another dimension?" joke made me crack up lmfao
pure into maths jokes

🤎💙💙💙