Very nice! The unsolvable equation used in the French Baccalaureat a few years ago was e^x - x^n = 0 for n in |N A very nice exercise, if memory serves.
12:08 snow flakes "if there is a fixed point in there, this means that there is one snow flake that started at one position and ended up at exactly the same position".... this is only true if the snow flake really started at the fixed point, because none of them have to... although there are iterative processes that converge to a fixed point, and if you have that, and can prove that this process converges iteratively to one or more fixed points from any other point, then ofcourse if you shake it, being the iterative processes, all your snow flakes will end up at fixed points eventually... like it is with a black hole, although the latest intel is that sometimes some snow flakes can escape even from a black hole...
It's unrelated but I've a question guys. I'd be thankful if someone could tell me how to approach this particular problem. Show that a triangle having integer coordinates cannot be equilateral.
![Real Analysis 32 | Intermediate Value Theorem [dark version]](http://i.ytimg.com/vi/Pbf8b4DHVCc/mqdefault.jpg)
Meanwhile, bprp’s time for LA marathon is 4:20
Hahaha
Also:if you travelled 60 miles in an hour,You must have hitted 60miles/hour speed (by the intermediate value theorem for derivatives)
You mean the mean value theorem.
@@nanigopalsaha2408 yas
Can you make a video proving this, or do I just take it to be 'intuitively obvious'?
I like that wave 👌 on the wall. Good job 👍 prof.
Very nice!
The unsolvable equation used in the French Baccalaureat a few years ago was e^x - x^n = 0 for n in |N
A very nice exercise, if memory serves.
Thank you. But how do you prove the Therom?
It’s on my channel somewhere :)
@@drpeyam I found it, thank you 🙏
Love your videos!
12:08 snow flakes "if there is a fixed point in there, this means that there is one snow flake that started at one position and ended up at exactly the same position".... this is only true if the snow flake really started at the fixed point, because none of them have to... although there are iterative processes that converge to a fixed point, and if you have that, and can prove that this process converges iteratively to one or more fixed points from any other point, then ofcourse if you shake it, being the iterative processes, all your snow flakes will end up at fixed points eventually... like it is with a black hole, although the latest intel is that sometimes some snow flakes can escape even from a black hole...
can you make a video on how to prove this?
Check out my continuity playlist, it’s somewhere there
@@drpeyam I found it. Thanks a lot!
Can you tell me about bprp???????
He’s an awesome guy!
@@drpeyam where is he now ???
Taking a break - Peyam told this in some other video's comment section iirc.
It's unrelated but I've a question guys. I'd be thankful if someone could tell me how to approach this particular problem.
Show that a triangle having integer coordinates cannot be equilateral.
sqrt(3) is irrational
esq!
Very intense
You will never be going exactly 65mph though for instance. It's not possible to have exact values at all when dealing with measurements
Second 😂
First