วีดีโอ

Bro i was so skeptical and just like @ralf7568 said, my mind is blown, this is like proving everything in existence. RESPECT!

can you do it for 1/k^3

nothing about this is decentralized though...

I really like this! Wouldn't it be more rigorous to use the generalised solution for such a differential equation, where dz/dθ - iz = 0 <=> z = Ce^(iθ) ? Or would that not work in the complex plane ?

when there's a really popular video and you don't click it so you go to another random video to brag about it

how do even calcute the integral of dθ dz You can't take integral w.r.t. z and integral w.r.t. θ on both sides.... can you?

PHENOMINAL!

The euler formula can't be right. The left side, exponential equation, gives values from 1 to infinity by definition. The right side is an addition of 2 trig functions which give values from -1 to 1. Do you see the problem?

Amazing video, finally somebody not using the taylor series. Plus only in 4 minutes🙏🙏

It is pronounced "zee," not "zed."

Very nice, very neat

I stopped at 1:22. You differentiated and treated i as a number. But i is not a real number. So your proof is discarded.

Oh my god the most elegant beautiful démonstration it really chocked me

I ran into an error with self.chain… Fixed it by doing Self.chain = chain if chain is not None else [] I put this under def __init__

Mayn I thought this is gonna be a complex one, it's nice and elegant. Glad that I found your videos, love your content 👍, Jesus bless.

Hello Mr.Assad, I know that this video is 4 years old now, but I am having issues with the packages, specifically MySQL and Flask, as well as the entire App setup part of the video, could you possibly give me some updated instructions? Thanks in advance!

Def: C(n-1)=1-(x/n)S(n) S(n-1)=(x/n)C(n) ==> C(0)=cos(x) S(0)=sin(x) Def: E(n)=C(n)+iS(n) E(n-1)=C(n-1)+iS(n-1) E(n-1)=1-(x/n)S(n)+(ix/n)C(n) E(n-1)=1+(ix/n)[C(n)+iS(n)] E(n-1)=1+(ix/n)E(n) ==> E(0)=e^(ix) ==> e^(ix) = cos(x)+Isin(x)

Bro you forgot +C??

Absolutely wrong idea!! If you differentiate something and you integrate the result then question appears!!! Please don’t contaminate mathematics

How do you know i is a constant term while doing derivative?

best proof i have ever seen

i guess my next question is: what is the motivation for putting a number in the form cosθ +isinθ? i understand that polar coordinates and the complex plane are useful, but i still dont see where someone would come up with this form to represent something just by complete chance as a result of liking to use the complex plane.

The proof starts with the derivatives: but are these derivatives (deriv of cos is -sin; deriv of sin is cos) not proven by Taylor series we wanted to avoid ? I mean, are the Taylor series not hiding behind the formulas for derivatives of cos and sin?

2:28 shouldn't it be ln|z|, which results in 2 possible solutions for u, u=±e^(iθ)

Great work, i use it to explain blockchain to my fellow lectures. Please note that you use different data and self.number and self.previous_hash has switched places, compared to the second youtube movie.

In real Blockchain what db they use?

Newbie here, so in real world this block chain object spread in the network, what happened if join the network latter and the Blockchain object is massive? When adding block it spread across network what happened if i miss that block (i disconnected from network) and reconnect at next block?

Cool

روعة الله يبارك ❤

Come on man, this is jot a proof, because you just took the derivative of the function and then you integrat it, of course you will get the original function that you started with.

When you re-mine block 3, it takes replaces it's previous hash as block 4's previous hash because of the line block.previous_hash=self.chain[-1].hash() Shouldn't it use Block 2's hash as it's previous hash instead? Also, it adds this new block #3 to the end of the chain because the mine function has self.add(block) in it. It doesn't replace the block.

Awesome brother❤

Why do you chose teta iqual Zero?.Teta can take any real number.

And how do you apply that formula in designing Microwave circuits and other electronic design calculations, can you provide and example how it is used in the real word both in 'radians' and 'degrees'?

❤❤❤❤❤❤

Mine says 5:05 mine says Block is not defined. Did you mean ‘block’ and when I put block it gives me the error cannot access local Variable ‘block’ where it is not associated with a value

This is crazy

Tricky 😢

hello, have you a complete program connected to the network ?

Extremely good

Nailed it man

Respect

Apologies to content provider for using your comments in this way, Im trying to learn but I’m not a modern fellow. I would subscribe but its pretty much beyond my capability. PLEASE.. someone with a tiny bit of bravado. I am not tec savy. I have a business idea. Ive given up trying to learn the smart contract programming & crypto skills needed to make the idea happen. I don’t have cash to pay for programming. I will split the business with you 50/50 if you do the smarts. This is no scam. I will list my email I suppose to talk. Please consider.

After this set of code everything goes to shit. I decided to fork the final product, but I'm glad I watch the walk through, gives me a good overview of where to edit and find specific code.

رائع❤❤❤❤

This is absolutely NOT a proof. What does e^(i theta) even mean? What is e raised to an imaginary power? What does it mean to differentiate a function of a complex variable? What does "ln" mean in the context of complex variables? And so on. All this needs to be defined - and the way to do this is via Taylor series.

very good, the right way

رائع.

👏👏👏👏

Great proof!