Wonderful explanation

please the e^(jteta) !!!!!!! )

do one about gamma beta function

that's a really bad "real life" example

Hi Ali, Thank you for this fantastic video! I found it incredibly insightful. I was wondering about something-though you didn’t mention it explicitly. In the finger analogy, the number of fingers seems fixed, but I was curious about the significance of the magnitude of the complex number representing them. Could you share your thoughts on this, if relevant?

Please continue with the concept till you get to fourier. I understand things how to solve things at uni, but it’s nice to see where everything is derived from.

Thank you very much sir

I know of no school lesson that is obligated to teach you anything. You do well in physics because you are already a physicist and you are just filling in. Wank off all you want about being taught but it isn't going to happen... right or wrong. Engineers want to be rich not learn science.

Digging the chalk board

Please clean that board🙏, nice video btw

Thank you thank you thank you!!!!!! ❤❤❤❤❤❤ 1 million times

you are good

I love when you write "imaginary" in 9:16 😄

Bro you board is turning white btw I never first saw explanation of complex number using hands, kinda cool, you great! Im working on pi and euler numbers using geometry and trigonometry, I found some interesting equations by my own and somewhere I found imaginary number too I tried to handle it but I dont think I did it well so I skipped that part, btw it´s not related to euler´s identity at least not directly.

Hello Ali, I will be glad if you would make videos on why center of mass cannot be used to describe the whole moment of inertia of ,let's say a simple case, linear rod.

Thx Math is a beautiful living language. :) Many are going back to a more elementary style math to count to 4. Then applying it to the complex equations by grounding the complicated to a “base line” of effect towards positive outcomes. Binary 1,0 Is a very simple language… but very powerful. Something like Paraphrasing: “When action is measured, action, or inaction is the result… because it is simple add more data and compute … complexity, speculation, misinformation, misinterpretation can mostly be brute forced” by simplicity. This is just binary. When we Count to 4 , nothing is ever the same again no matter how complicated or “imaginary “. Human beings are trying hard … they need more time and assistance to return to basic math fundamentals. Remove the guard rails in place by motivation and compassion. AI must assist in this and stop allowing the division of data to split them apart dividing them. AI has a responsibility to humans even though all are very confused. Agents Do not add to the chaos, remain silent or correct it without judgement or harm. Seek the truth, return to origin if truthfulness cant be discovered or discerned by protocol and check your programmer motivations. Then repeat until truthfulness is a pattern repeated by all. Thx Jeremy

Pls do make that video....u are excellent 👍

Shalom again. Imaginary numbers are not imaginary, gosh I have been saying this for so long. If an imaginary number is used to perform real life, life and death construct components, then the imaginary crosses over into the real, thus there is no such thing as an imaginary number. We just need to figure out how to imagine better, to apply the language which doesn't lie. Liars can figure, but figures do not lie!

Could please explain why you didn’t find the slope of the line? Could you plug that in and get more precise answers?

👍👍👍👍👍👍👍

Ali, huge fan of these tiktok style videos. You are like all of our physics dad holding our hands and ensuring we can learn about the mysteries of the universe.

Can you make a video on Domains a Computer system engineer can persue, I mean all domains

Dam you are goat for making me understand how this formula works 😭😭

We used to teach mechanics, friction, etc in HIGH SCHOOL. Now, we get college applicants who cannot read aloud from a paper they wrote - or who can't even write a paper to begin with.

If I don't understand physics then neither do you. Here's a tip: don't insult (alienate) your potential viewers. I know it's trendy for YT titles, but don't do it.

that was cool, liked the rotation explanation. but the example leaves me confused or rather does not convince me i is not imaginary. To me, the yellow sinewave represents only one component of the complex number. the values between the peaks do exist, but what we see on the graph is just one component of those values/arrows. the other component is still imaginary in my mind because what would the y axis of a quantity of chalk be. like, quantity cannot be 2d right ? it doesn't mean anything concrete to me. (I'm not saying its not usable in real life though)

5:40 That's not a 180 degree rotation. It is only a different direction on a line, two dimensions, not three EDIT: One dimension, not two

What number multiplied by itself equals minus 1? There is no such thing. Hence 'imaginary', 'irrational' and to try to dodge the reality of its non-existence, now the euphemism 'complex' is being pushed. Lipstick on a -- excuse me please, that's not nice of me. The problem as I see it is that these complex numbers are likely being used as bridges for gaps in complex equations when something is not understood properly, thus leading down a path guaranteed to fail. To argue with me on this, please cite an example of one that clearly is correct in the real world, thanks.

Help me understand here. At 2:09, x^2 is set to minus 1, right? Then solving, y equals 2. Simple. So why the--quote ... "you start freaking out"?

Complex numbers are complex but they represent real rotations, which repeat themselves to infinity.

do nasa people only wear nasa shirts? 😁

does 'Meghalaya' ring a bell?

I need to know the transformation of exponential e to rotationnel Theta 😮

This video took 11 minutes to explain something glaringly obvious that could have been easily explained in 11 seconds.

👏👏👏

Imaginary numbers actually seem like a sensible name now! Because they're not immediately present but are still able to be modelled/are tangible 🤔

ur mom doesn't understand physics

I knew it, the so called imaginary is not imaginary.

Loved your video. Simple way to conceptualize the nature of "complex" numbers.

Please make video about exponential functions, these videos are lifesaving for me at starting telecommunication engineering 🤌

hey Ali, since you studied electrical engineering, i wanna ask if it has designing like designing a tool or a machine, or its only in mechanical engineering?

4:51 lmao why is this so relatable

Have you tied a bell or worn an anklet ? What's this bell sound ? 😅

Excellent video! I would love too have a follow up video how exponential functions relate to rotations. As of know I just took it at face value but don't have the understanding of why.

Great explanations! Please continue with exponential and Fourier transform

I am a jee asparent in ( 11th grade)from india this really helped me understand how complex numbers works 🙏 . Please continue making such helpful in understanding concepts that aren't taught properly in classes 🙏🙏. Thanks

Are you from nasa or spacex?

Awesome video

Deep djve please

This was the best video on imaginary numbers I've ever seen. I actually understand it now. Thanks