The intuition Behind Eulers Formula

[@matercan5649]

when i read the title my first thought was "which euler's formula" because euler literally made every formula in mathematics

[@MAKiTHappen]

"Everything in mathematics is named after the second person who discovered it, because if it was named after the first, everything would just be called "euler""

[@GD_EFFEHARDCORE]

@MAKiTHappen that is so true lol

[@kaio0777]

Man was truly thinking about the benfit of math.

[@KingJAB_]

Second discoverer, so like the Fourier transform

[@Illuminati_HD]

@@MAKiTHappen Honestly id really like to subscribe to your channel but then my yt inbox will be constantly spammed with your livestreams, i fear this might be a porblem for multiple people. Have you thought about a seperate livestreaming channel?

[@12Fakeaccount]

This feels like 3Blue1Brown if Grant was learning this at the same time as us. I love this so much. Let me make a quick metaphor: top-down vs bottom-up. Grant explains top-down by showing how the components form a unified intuition, but you explain the foundations as a classmate who is one step ahead of us in understanding. I'm so excited to see you take off and become an influence in the community!

[@maxe624]

I didnt realize you had so few subscribers until you mentioned it. I assumd these videos would be getting hundreds of thousands of views

[@KthW]

These are some of the best science videos i've seen,it is absolutely insane how little recognition you're getting... I hope you'll go viral

[@jameshackney5438]

Guys wake up, the new MAKiT vid just dropped Time to learn more in 20 minutes than in a semester of college physics

[@satyamrajpro]

8:27 Ah yes, I love to learn about "Oiless Formula" in subtitles..

[@georegio]

0:35 you already are broke

[@greg6400]

Absolutely insane how you are pumping out these videos every 10 days like how, also wishing for your success in full time yt 5:38 14:57 15:01 15:18 18:45 18:49 18:52 18:56 best arrow

[@AnshulPrajapati-n9l]

you are a slave to MAKiT

[@vulpesaxis8494]

It is amazing that you were able to explain all this content in just 20 minutes, AND do so clearly with neat and concise visuals and entertaining in a way that is just your own, I hope you more success in this platform and you earned a new subscriber

[@Jonkuzon]

The segway from “ordinary” Taylor series to Euler’s formula was honestly kinda magical, well done!!

[@Bookie9477]

Great vid dude, I wish more schools would take the time to explain this stuff like you do instead of just jamming equations down students' throats.

[@evefroggo4755]

Finally caught one of these the day it released! I’ve loved your math videos, I hope you keep making them!

[@N3rd-s1h]

You can subscribe

[@minsha_4290]

hey i absolutely love the videos!please keep em coming

[@johnstud1os]

I LOVE this so much! The execution of this video is so satisfying and well done. Keep it up MAKiT!!

[@Lonschn.]

You uploading is by far the best Christmas present this year

[@Insuranceagentguy]

This is probably one of my favorite proofs in mathematics. Nicely explained!

[@j100j]

I've loved Euler's formula since I saw it back in middle school.

[@mathpuppy314]

Somehow this math guy has a better sense of humor than 99% of the world. Every video is such a pleasure to watch! 11:53 seems good and efficient that you're also zooming out to show us the premier window, I'm sure that was just a copy and paste edit job.

[@thebeardman7533]

Don't worry physicists won't mind putting infinity in functions only mathematicians would mind

[@k4ktus1k50]

i’m in love with ur videos. Never stop making videos

[@gabrielribeiro222]

Love ur vídeos. Hope your chanel grows a lot.

[@SnakeOcelot]

18:13 Hey, fantastic video! But I just want to point out a little mistake here: those are not the taylor series for sin e cos; instead, the first one is the one for cos (not sin) and the second one is for negative sin (not cos). I think you just got a little confused with the values of sin and cos, but except for that this is really an excellent video, so keep up the good work! 😊

[@synonys]

1:14 you just explained quadratic equations better in one picture than semesters of universities!!!

[@akeebplazy1124]

I'm sorry but which place are u studying in that they teach u Quadratics in universities

[@synonys]

@ it’s an exaggeration…

[@aComedicPianist]

19:09 There are two i^(4n+3) equations, but one is obviously i^(4n+4), which I would say would probably be better written as i^(4n) as 4n+4 would be 4(n+1) which could just be set as 4(n), changing where you start, almost like the difference between 0123456789 and 1234567890.

[@aComedicPianist]

Also, when the phone alarm started to ring, that’s the only time at the end of the video it’s not on the desk ironically.

[@Student-jd8vf]

Your 3d cinematics are increasing exponentially!

[@randigo9992]

I recently was trying to think about the fundamentals of everything, the most fundamental rules of the universe and logic. It's like objects could be defined by their properties, you could define anything as an object and all objects have properties, math is made to describe those properties, so you could compare and operate that stuff, idk what else to add

[@DDP-Gaming]

amazing animations as always :)

[@joziahelliott1976]

This is literally perfect video i was just wondering were this came from

[@joziahelliott1976]

There's a mistake at 18:02 it should be a minus sign after the x^4/24

[@vincehomoki1612]

What is wrong with you, KZbin???

[@paliophysical4481]

Holy crao its the video i requested. Thanks makit. I love you man.

[@ddx5899]

Keep going big guy, ull make it big

[@pugbloxgaming6397]

Great video I loved the graphics and the understandable way you explained it, besides the good jokes, ¡please keep on the amazing job! 😄👏

[@Epoch11]

I just turned 46 and when I think back to my time in high school from 92 to 96, I can picture how much I absolutely hated mathematics with a passion. I flunked algebra and trigonometry. Fast forward to my Community College days and I am forced to take the class again as I am trying to get my degree in engineering. This time however I have a great teacher. And does my grade improve to a D or even a C? Nope, I got an A. All because I had a competent teacher who would do things like this and show us where things came from. It seems like half the teachers in America don't really understand mathematics and are ill-equipped to teach it.

[@Mashrit]

18:07 that's the taylor series for cos 18:20 that's the taylor series for -sin

[@RalphScott-wu8ei]

The derivative is parallel. The fourth derivative is the same number you started off with; if e^(a*0) is always 1, then the only possible function is a rotation left by a from 1.

[@calamitalcomputers]

when i studied e^iπ, maclaurin and his expansions hard carried me

[@Rotbeam99]

the fake greenscreen is a nice touch

[@Walter12347]

18:04 It looks like you found the taylor series for cosine then negative sine here.

[@r3birth]

comment for algorithm, love you makit!

[@johnathansebastian4463]

I was disappointed I hadn't subbed already.

[@K0nam3Two]

Can you make a video about the other euler formula?

[@MAKiTHappen]

Yeah, I have it scheduled right in between the eulers constant, and the other other eulers formula

[@leciniminis144]

13:24 the third derivative can be called “aberrancy”

[@the33rdguy]

Bro keep going. The algorithm will notice!!! Trust!

[@antoninnovak5074]

Hey MAKiT, I love your videos. Have you tried moving the streams for charity to a different channel? Just to try what is KZbin algorithm going to think about it. I think it could help your channel to be recommended more.

[@no-ib2kr]

Makit please make a video on how intermolecular forces fit in the standard model and the four forces i feel like science will only make sense once I find out what it is

[@MAKiTHappen]

Intermolecular forces ARE the four forces. It's electromagnetism to be exact if I'm not mistaken

[@killianobrien2007]

Electron charge makes each molecule a dipole

[@jpase]

Guys don't worry about his fridge, his mask doesn't have a mouth and therefore he doesn't need to eat. He is a god afterall, right?

[@kohlenoxyd]

oh boy time to watch MAKiTs new vid like five times

[@benjaminmllebjerg8044]

That was a good video, well done.

[@TheEliteMan723]

Great video as usual

[@potogen.0m0]

14:26 why did the like get said 2 times there (in a demonic voice, i might add.)

[@CT-sixes]

Well, another MAKiT upload another banger where he lets his god complex out of control

[@ElusiveEel]

but the picture you're drawing is not "the reason why" 2:11 is so, combinatorics is. there's one way to choose x^3, there's 3 ways to choose x^2y, there's 6 ways to choose xyz etc. that also doesn't generalise to higher dimensions. try visualising the 5D hypercube cut up by (x+y+z)^5

[@mo-dodo4224]

Great Video! btw whats the music used it's so smooth

[@tmodx]

Banger

[@georgecop9538]

6:04 I guess no one cares about rotation matrices. Sad

[@CosmicHase]

This is exactly how I'd teach my bro maths. I have no idea what you are saying tho.

[@elliotthedoge9456]

Why is there the Taylor series in the image

[@MAKiTHappen]

You will not believe what sum I'll use to prove eulers in the video

[@elliotthedoge9456]

I am outraged that you said the radius of convergence was boring, fucking Abel was a genius that some mf called Cauchy did not review their manuscript

[@elliotthedoge9456]

"The rigorous side" proceeds to forget to mention all fucking conditions for anything you've done

[@elliotthedoge9456]

NO WAY MAXWELL EQUATIONS TEASER I CAN'T STOP rot(B) = μj + dE / dt

[@akshatrai9007]

18:13 there's a silly mistake. Great video by the way ❤

[@moozcode6882]

Great video :]

[@denorangebanan]

my autism loves this

[@mcmann7149]

Very interesting video. Obviously, you're not going to be perfect in everything, but I would be willing to wait longer for explanations for certain analytical functions such as the radius of divergence.

[@mavinu4845]

commenting for a future filled fridge

[@turbulance1720]

I'm mad now because he didn't say MAKiT happen! Grr!

[@Sng4]

Once again, leaving a comment for the algorithm :D

[@skybeast2738]

algorithm

[@princehickmon2170]

Form Voltron with another channel(s) and save Us all ...

[@TM-fk4gt]

WRONG!!!! At 19:08 it ought to be i^(4n+1), i^(4n+2), i^(4n+3), i^(4n).

[@georegio]

4:31 makit lore

[@TM-fk4gt]

WRONG!!!! It ought to be (1/2)^2 at 10:08. In your case you have: (1^2)/2, which is always 1/2.

[@wajihkassraoui96]

If you read my comment then I'm lucky I'm searching for => in frensh (devlopment limité) Like exp(x)=1+x+x²/x+ø(x²) This DL2 where lim x->0 ø(x²) =0 Ther is some other formulas And I need to understand from where they come and ther applications

[@henricobarbosa7634]

Loved it 😂

[@Sunshinenothing]

Omg could it really be!!

[@SayandipRoy-n7j]

So underrated !!!! 😢😢

[@Nerdiest_nerd]

At 1:56 shouldn't (x+y)³ be x³+y³+3x²y+3y²x, i think u accidentally missed that,apart for that good video😊

[@MAKiTHappen]

Well... I can't really argue about math with the nerdiest nerd

[@locomeon_0]

Yooo. Bro really fell off. No comments?

[@locomeon_0]

Why did you heart this good sir?

[@georegio]

Hi makit.

[@Ema9ine]

Commenting so you don't starve!!! Cheeseburger

[@SatyamSingh-un5sc]

Can i Ask you to Remember me.when you start getting millions of views. *thxx* Btw you give me Ayanokoji feels.

[@spoopy_spaghetti2407]

Why is the KZbin algorithm doing you like this 😭

[@csconnor5160]

Yep, no notes here. Nice explanation!

[@gamingmonke1269]

waltah

[@gekoneq347]

I fell asleep during the stream :c

[@R3N-YT]

I love you

[@YandiBanyu]

MAKiT happen 😂

[@Ibnabdullah.as-somali]

[@zuuncreative169]

10/10

[@AlexGao0702]

yay

[@Frddy_-sh8so]

meth

[@God_spud]

soo funny n good like math but fun

[@bartsimpson4856]

10 views in 2 minutes, bro fell off…

[@georegio]

Shush

[@MAKiTHappen]

😥

[@bartsimpson4856]

@@MAKiTHappen We are praying for your income sources 🙏♥️

[@mingzih]

this is an art; 🥹🥹🥹🥹🥹🥹🙏🏻🙏🏻...

[@MAKSHiTHappen]

Almost unsubscribed