Man, your points are not distributed evenly on your wire. It is not the center of mass then. To make a center of mass you need g(t) * exp(t*alpha*2pi) * l(alpha) * dalpha, where l(alpha) * dalpha is a length of interval corresponding to dalpha segment at current alpha. Why are you mixing it up and adding extra entities here?

This is an amazing explanation! Thanks so much for it. I watched it several times until I completely absorbed all the concepts. Still, I have a question. How do we know that there isn't a winding frequency that aligns all the peaks in one particular point of the complex circumference? The real component wouldn't be as high as the real frequency, but still it would have a significant value.

I studied engineering for 4 years but never even got close to actually developing a clear understanding of the workings of the Fourier transform, and your beatiful video has managed to convey in 20 mins what my teachers could not in those 4 years. Thank you!

Sorry, but I cannot understand what is center of mass of the graph, how to find it? Thank you for very nice explanation video about the Fourier transform

I like what you are teaching but… The background noise of things like the piano and your voice cancel each other and make it very hard to understand what it is you are saying.

Your videos are so so so SO well explained and clear. The summaries and recaps are super useful and you go back and reexplain things from previous parts of the video. That's really helpful!!

I don't comment often, but when I do it's because it gives me hope that people want to help others and do so with painstaking effort. This is beyond appreciative, thanks for this.

Thank you for this. I scanned some comments and it seems like there's an agreement of engineers or other math-based degrees getting decent grades in school, but not fully understanding the Fourier. I feel the same way! I wish I had this video when I was in college, I think I could have done better and understood more. You're doing a great service!

Whats the math idea ( if any) behind your channels name. 3blue 1 brown ? Loved the video by the way. They shd have 'love' button to diiferentiate from like.

fouier transformations are also used in electronics when looking at a rf signal this is generally done with a spectrum analizer , a combinmation of frontend attenuator a double balanced mixer witchmixesd the attenuated frontend signal with a sweeping frequencxy where the rate of sweeping is locked to the sweeping of the horizontal deflection of the electron beam at the display, the product of the 2 mixed signal then goes through a banpass filtern and into a logarythmic amplyfier witch feeds into the detector witch drives the vertical deflection of the display. modersn spectrum analyzers just have a digital to analog converter to digitize thesignal and a computer then decides how to draw it on the display. aslo modern digital osciloscvopes that dont have the alnalog hardware to do the fourier transformation just use the digitized signal and the gruint of the fpga to do the conversion to a fourier transformation

Без технического перевода, это выглядит, как "бла-бла-бла"…Забавно, что наматывание на окружность синусойды очень напоминает орбитали электронов, и это не с проста…хотя в курсе химии подобных аналогий что-то не видел)Век живи – век учись!

I am just amazed and humbled by the way you made that monstrous looking formula into a beautiful,elegant painting. Hey man, thank you for existing and thank you for creating this channel.

awesome video! minor confusing point I found was that at 4:36
the voiceover states that "lines spaced out 1.5 seconds, to make a cycle" but the animation shows 1.5 cycles/second showing opposite of the voiceover. otherwise extremely clear video 🙂

It's so frustrating when I stumble upon an interesting video I'd really like to watch, but have to mark it as 'watch later' because I'm running late on other stuff x// Edit: but I definitely WILL watch this later!

I really didn't know that Maths could be this much fun…..now I am determined to revisit my engineering maths, but this time for the sake of understanding it deep , not for the sake of the marks or grades

Followup video about the uncertainty principle: https://youtu.be/MBnnXbOM5S4

Thank you very much. It will be famous if you explain difference between Fourier and Hartley Transform.

XD I learnt yesterday about Amplitude modulation -scattering equation using Fourier

coincidence?You're a legend!!!!! You've got a lifetime subscribe…just with this video! Thankyou so much man.

Could you do real analysis? Richard Feynman of youtube

9:09 = MindBlown

Man, your points are not distributed evenly on your wire. It is not the center of mass then. To make a center of mass you need g(t) * exp(t*alpha*2pi) * l(alpha) * dalpha, where l(alpha) * dalpha is a length of interval corresponding to dalpha segment at current alpha. Why are you mixing it up and adding extra entities here?

This is fascinating!

I had the Fourier Transform in college. I passed my exams. I had never understood the Fourier Transform until now.

Man… I love the internet. I can't believe that I can understand most of that today.

So beautiful, so elegant and clear! 👏🏻👏🏻👏🏻

Does 3 blue 1 brown represent the eye colour alleles of your parents?

This is an amazing explanation! Thanks so much for it. I watched it several times until I completely absorbed all the concepts. Still, I have a question. How do we know that there isn't a winding frequency that aligns all the peaks in one particular point of the complex circumference? The real component wouldn't be as high as the real frequency, but still it would have a significant value.

Tus vídeos son ORO puro !!!!

이 영상을 3개월 전에 봤다면 휴학을 안했을텐데..

Would there be 2 circles at the waveform wrap graph at the bottom left at 7:32 ?

but the integral does noot represent an area, and where come from the dt?

it's elegant idea , thank you for vedeo it was a wonderful explaining

Hi Sir,

I hope you are doing well.

Can I merge this video with an Arabic translation and republish the Arabic version of it on may YouTupe channel with mentioning to the main source?

Thank You

Ali Joohy

https://www.youtube.com/channel/UCaF9CqLmS-Iaiqxwv9VyhBQ/videos?view_as=subscriber.

I've probably said this a lot already, but: I

*****love you.Can you carry me through my Bachelors? You've made more sense in this one video than anything I've been taught for 10 weeks!

I studied engineering for 4 years but never even got close to actually developing a clear understanding of the workings of the Fourier transform, and your beatiful video has managed to convey in 20 mins what my teachers could not in those 4 years. Thank you!

Sorry, but I cannot understand what is center of mass of the graph, how to find it? Thank you for very nice explanation video about the Fourier transform

I'd like you have been my Liner Systems professor

Great explanation.

Can you do for Aperiodic signals?

Also a video on Laplace transform

푸리에 뭔 천재냐…. 진짜 이걸 어떻게 생각한거야

I like what you are teaching but… The background noise of things like the piano and your voice cancel each other and make it very hard to understand what it is you are saying.

Thank you so much for your amazing graphics!

Thank you very much! Although I am approaching the end of my engineering Ph.D. degree, this video explains the best of FT in my life ever!

I fall in love with these videos. Can you make some videos about ComputerVision and ImageProcessing?

thank you so much for making the video

Even my head got swirled when the intensity time graph is compressed into the circular graph…I got hypnotised!!!😘

Don't watch it after lunch, it'll make you sleepy.

0:55 means… WTF Beats per Minute? u mean Hz per minute! iam out LOL

WOOOOOW Thank you thank you thank you thank you!!!!!!!! Thanks to you I.can now prepare for my university studies ♥

19:10 – How about both?

Why somebody would dislike?

Thank you so much! It helped me a lot 🙂

That's a Spectrum Analyzer, Baby!

Powerful description & illuminating graphics, as always!

Mapping frequency around a centripetal function, like vision and holographic projections

Me(Japanese) -We had this in our syllabus when we were in 8th grade

*laughs in Asian 😃😃

Please make a vedio on Laplace transform. I don't actually understand what it dose to a graph

Your videos are so so so SO well explained and clear. The summaries and recaps are super useful and you go back and reexplain things from previous parts of the video. That's really helpful!!

Love it! 💜 The best explanation! Thank you!

Great video as usual, which program helps with animations like this?

Cell division =pressure ray=cell

Wow! It's really cool explanation! Unfortunately teachers do not show is this video (or something like this) at school or university.

Thanks a lot!

This video is clear and very helpful. THANK YOU!

Truly amazing, thank you so much!

아오 머리 아퍼. 서론에서 이미 gg

Thank you so much for this video!!

U r just amazing… i wish i would have come across this during my btech.. hats off to u Sir

You are awasome…Thanks for giving us so much knowledge..

This is one of the best videos I've seen in my life.

Very good!

Grant, this is by far the BEST explanation ever given regarding Fourier Transforms! Thank you so much 🙂

I don't comment often, but when I do it's because it gives me hope that people want to help others and do so with painstaking effort. This is beyond appreciative, thanks for this.

hello sir please make a video on FFT

2:01 Dm7

it would be great if you make videos about functional analysis in the future.

Excellent explanation.

Dude. Just woah. Woah.

Subscribed.

Can you do Laplace next please – I'm yet to find a video on the subject that makes any sense.

Thank you for this. I scanned some comments and it seems like there's an agreement of engineers or other math-based degrees getting decent grades in school, but not fully understanding the Fourier. I feel the same way! I wish I had this video when I was in college, I think I could have done better and understood more. You're doing a great service!

I wondered if god exists! Nd Here is the math god!!

Whats the math idea ( if any) behind your channels name. 3blue 1 brown ? Loved the video by the way. They shd have 'love' button to diiferentiate from like.

i like it

fouier transformations are also used in electronics when looking at a rf signal this is generally done with a spectrum analizer , a combinmation of frontend attenuator a double balanced mixer witchmixesd the attenuated frontend signal with a sweeping frequencxy where the rate of sweeping is locked to the sweeping of the horizontal deflection of the electron beam at the display, the product of the 2 mixed signal then goes through a banpass filtern and into a logarythmic amplyfier witch feeds into the detector witch drives the vertical deflection of the display. modersn spectrum analyzers just have a digital to analog converter to digitize thesignal and a computer then decides how to draw it on the display. aslo modern digital osciloscvopes that dont have the alnalog hardware to do the fourier transformation just use the digitized signal and the gruint of the fpga to do the conversion to a fourier transformation

2:25 smarter every day actually did that, crazy stuff

F%$£& Me! It's decades since I did any math, but this vid is so lucid that I just managed to follow it. What a ride!

Без технического перевода, это выглядит, как "бла-бла-бла"…Забавно, что наматывание на окружность синусойды очень напоминает орбитали электронов, и это не с проста…хотя в курсе химии подобных аналогий что-то не видел)Век живи – век учись!

4:40 mandelbrot time

I am just amazed and humbled by the way you made that monstrous looking formula into a beautiful,elegant painting. Hey man, thank you for existing and thank you for creating this channel.

After 2:30, you already got my upvote. If you can introduce a problem before even talking about it that well, you deserve to be seen :3

when youre reading infinite jest…

How can I use manim to generate the graphics introduced @3:00 where the sinusoid wraps around the circle? I find it incredibly fascinating.

This is why I love math and science

FT 설명 전에 이거 시청이 필수.수식부터 가져다대고 이해하려고 하면 골 아픔

Amazing work, thank you very much for sharing !!!

Can you please make a video on Laplace transform?

Had to flex with that dm7

16:50 It's resonance! Right? Is that how resonance works in digital audio/digital signal processing?

Thanks man !

Eventually i understood what the fourier transform is

if there is nobel price for education here is the conteder. thank you so much for efforts. I wish every subject was taught by you.

AMAZING VIDEO!

Wish I had that during my Bachelor's degree. You are wonderful!

I pressed on the like button soooooo hard without realizing it hhhhhhhhh . That shows how much i enjoyed watching your fabulous explanations. Respect

awesome video! minor confusing point I found was that at 4:36

the voiceover states that "lines spaced out 1.5 seconds, to make a cycle" but the animation shows 1.5 cycles/second showing opposite of the voiceover. otherwise extremely clear video 🙂

can you do a video explaining how you're so good at making educational videos? cos i don't get it.

BINGE!

It's so frustrating when I stumble upon an interesting video I'd really like to watch, but have to mark it as 'watch later' because I'm running late on other stuff x//

Edit: but I definitely WILL watch this later!

Your videos are a gift my man!

You are offering enlightenment in mathematics

I really didn't know that Maths could be this much fun…..now I am determined to revisit my engineering maths, but this time for the sake of understanding it deep , not for the sake of the marks or grades

Really great visual delite for technical doubts easy understand of Fourier transform

Where has this video been all my life? I finally I have a better grip for the elusive meaning of Fourier transform

Great explanation, will use it to better understand how to make games that react on audio in Unity 🙂

How does this guy have so much knowledge???

Ten years ago I have grauaded at University. However only after your videoI understood the wrap function!

Thanks a lot!