At 15:28 you said the error is first quite big, but then gets smaller. It has an "e-05" at the end of that number though. If you look closely the error in that case gets larger.
@Daniel G It's an old language, what do you expect. You can do everything you want but it just takes more time and knowledge. But the Performance is better.
Could you do a video on Euler's technique for holding chopsticks? Pascal's fork method is elegant in it's approach, sure, but I'm tired of being made fun of.
3:33 Your solution curves that differ only by “a constant” seem to all pass through the origin but have different slopes. A small but nontrivial flammy error!
wait WTF? are you like 2 weeks old or something? you don't even create a universe and create a star and wait for a rocky planet to form around that star and mine silicon, gold, copper, iron, and aluminium and make your own processor?
Us engineers use these numerical integration techniques all the time! Who cares about rigour... Side note: Could you do the Verlet method as well and compare it to Euler's method :))
@@PapaFlammy69 We are learning about all these numerical methods right now in my computational physics class. Super cool to see you do a video about euler's method. We derived it in class with taylor expansions so seeing you do it a different way is awesome! Verlet is something we are learning too, it's for second order ODEs instead of first order like Euler's. We have only really used it to start the first step of more accurate methods like Numerov's algorithm (because y-1 needs to be estimated to estimate y1). I could send you my professor's notes about verlet if you are curious about it because tbh it's hard to find this information quickly in some other sources.
Something to think about. I watched ruclips.net/video/oS4MaZKdfE0/видео.html and realized.... This is a very interesting question. I think that matter and anti-matter probably exist in equal numbers. Just that they ended up existing in different "universes". Due to Heisenberg, the anti-matter likely formed its own universe, likely in a slightly offset time frame due to the uncertainty principle. But due to a miniscule but non-zero time frame (Plank scale?) between the balance of particles and anti-particles, there are two universes offset by a non-zero time difference, but occupying the same space, but can't interact (not "there" at the same "time") via electrodynamics. But maybe there is gravitational interaction between them that is what we see as "dark matter" (the two universes pushing against each other internally?). Thoughts?
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When your code works after only the 58th try:
"Sometimes my genius is... it's almost frightening"
"Oh boi papi is going to love this :v"
- Wheeler, 1755
who is this "wheeler" you speak of? are you perhaps referring to the famous mathematician Yooler?
@@Blox117 Yule log?
Fred
Now engineers and physicists can congratulate, not only constants and functions can be approximated.
whut do ya meen, theres nothin wrong with approximatin my spellin or muh mathuhmatics *plane wings fall off and buildings collapse in background*
@@Blox117 _What? Error term? I don't understand that mathematician shit_ *continues using only the first Taylor term*
*laughs ass off in runge-kutta*
You know Jens, this channel turned into an Engineering channel so gradually, I didn't even notice.
Only real g's know that it was actually archimedes who invented differential calculus but then a monk destroyed the document describing it
Given some Medieval scholars’ adverse reaction to infinitesimals, this makes a lotta sense.
@@sw3aterCS_ in their defence it took ol' wierstrau🅱️ to make the things rigorous
15:25
The error is actually getting bigger with every iteration
Bruh i love you. It's incredible when i'm trouble you simply come out with the keeeeeey insight.
It wouldn't be a papa Flammy episode without the "who would win" poll
this is exactly what im doing those last days in class
python odeint, euler implicit/explicit, rk2, rk4
if you know how to use jupyter notebook, i could send u those algorithms, with graphs using matplotlib etc
At 15:28 you said the error is first quite big, but then gets smaller. It has an "e-05" at the end of that number though. If you look closely the error in that case gets larger.
Loved the video, my boi. Any chance for a video about Runge-Kutta Method?
A serious question: does this method also work for stochastic differential equations?
Hey papa, what’s the simplest chaotic system you can think of, I need to use one to create a key for an encryption (for computer mathematics).
Flammy, I want to know about The shapes which look like Ellipse but not the same and their functions. Please, it's a big request. Please........
IGNORED
We did this exact thing in my physics seminar class!
How do I make this with zeros in the Transfer Function ?
Thanks bro
What is your specialization and your university level?
So there are other integrators than Velocity Verlet?
Pogramming stuff is always fun, and you can always challenge yourself. C/C++ is also great for pogramming algorithms.
@Daniel G It's an old language, what do you expect. You can do everything you want but it just takes more time and knowledge. But the Performance is better.
@Daniel G Cause when you know c++, you know more than just pogramming and you get a deeper understanding of how a computer calculates.
@@kwirny That's was what a professor i had always said to the class. If you understand C, you get way better at programing anything.
@@MuitaMerdaAoVivo Yeah :). It's not efficient to always use c/c++. But you can benefit from knowing it. It's cool that we came to an consens.
Looking forward to 100k subscriber special lit method for solving high-order nonlinear PDEs analytically!
Python? Nah son, just pull up a spreadsheet, define a few cells, and have fun dragging the formulae for thousands of lines.
Could you do a video on Euler's technique for holding chopsticks? Pascal's fork method is elegant in it's approach, sure, but I'm tired of being made fun of.
got my tea. I'm ready for some maths
3:33 Your solution curves that differ only by “a constant” seem to all pass through the origin but have different slopes. A small but nontrivial flammy error!
I learned this last week in university, but I'll watch it anyways. :)
Approximating engineer papa at it again.
Sorry, I don't use that virgin python shit. I only use C or certain assemblys
If you didn't bootstrap the compiler yourself, is it really C?
@@duncanw9901 I prefer to use a magnet to write processor instructions myself actually
@@benjaminbrady2385 You're not a real programmer unless you create your own processor.
@@PeterJavi absolute fact
wait WTF? are you like 2 weeks old or something? you don't even create a universe and create a star and wait for a rocky planet to form around that star and mine silicon, gold, copper, iron, and aluminium and make your own processor?
Naisu. I think you could have shown some graphs with your examples at the end of the video
3:47 Why not
Thx for 2nd theorem of engineering
Yeeh infinite boi
Wearing this shirt every Analysis lecture now haha
Mach bitte ein video uber dans intégral mit den grenzen 0 und ♾ von cos(ln(x))
Us engineers use these numerical integration techniques all the time! Who cares about rigour...
Side note: Could you do the Verlet method as well and compare it to Euler's method :))
@@PapaFlammy69 We are learning about all these numerical methods right now in my computational physics class. Super cool to see you do a video about euler's method. We derived it in class with taylor expansions so seeing you do it a different way is awesome!
Verlet is something we are learning too, it's for second order ODEs instead of first order like Euler's. We have only really used it to start the first step of more accurate methods like Numerov's algorithm (because y-1 needs to be estimated to estimate y1). I could send you my professor's notes about verlet if you are curious about it because tbh it's hard to find this information quickly in some other sources.
"If the greatest number x then x+1>x and can we deal without knowing one of its solutions?"
Who would win? An almost impossible equation or a math boi?
Cool. Thanks.
Thanks
ok real boi question flammable man
gauss
or euler
bro.
Komm du aus Deutschland weil du eine ln deutschen Akzent hast
very nice
They were skillshare 😂😂😂🙌🏼🙌🏼
Something to think about. I watched ruclips.net/video/oS4MaZKdfE0/видео.html and realized....
This is a very interesting question.
I think that matter and anti-matter probably exist in equal numbers. Just that they ended up existing in different "universes". Due to Heisenberg, the anti-matter likely formed its own universe, likely in a slightly offset time frame due to the uncertainty principle. But due to a miniscule but non-zero time frame (Plank scale?) between the balance of particles and anti-particles, there are two universes offset by a non-zero time difference, but occupying the same space, but can't interact (not "there" at the same "time") via electrodynamics. But maybe there is gravitational interaction between them that is what we see as "dark matter" (the two universes pushing against each other internally?).
Thoughts?
4:19 Pre-emptively calming down the maths fanboys
Why would anyone dislike this? I don’t understand 😭
:(
I love that shirt 😀😀😀
this guy is the hottest guy i have ever seen in my entire life
seriously? xD
His mature way of speaking mixed with the german accent just puts him way above everyone else
Boi in portuguese means ox... Infinity 🐮
I got 3 ads for Brilliant in this video
Yeah that CoMa. I am sure to go to CoMa after taking Maths :(
Котята круто, я считаю.
Gettin close to 2^2^2^2^2 subscribers tho. :/
im a pro in python
Everyone knows real Chads do it in J A V A S C R I P T
Real bros make their graphs in assembly language.
Please, reply.
Oh boi
Virgin Python vs Chad MatLab
Jk, MatLab is a plague on the science community
The smell... That smelly smell...
Smells like Numerical Approxilation
Bullshit, there is always a person who is first, who gets the gold medal! 🤯🤯🤯🤯🤯🤯🤡🤡🤡🤡🌍🌍🌍🌍
your introduction is more like an overacting