Name: What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205
Uploaded: 2020-03-26T02:25:41.000Z
Duration: 8 min 25 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

Adverbs of manner

This is a circle, you probably knew that.

and watch it go up and down and up and down

you get what's called a sine wave, which you know

to be important in things like pendulum motion,

Sine waves are important but for my money,

the coolest thing about 'em is you can add them together

to do other things, which sounds simple until you realize

this is how the 2018 Nobel Prize in physics was won.

My buddy, Brady Haron, has a really good video

at the university called the Fourier Series.

These are my old notebooks and check this out.

The teacher challenged us to create this graph

by doing nothing but adding together curves.

And I found where I did it, it's right here.

And it took me, it looks like four or five pages, yeah.

It took a lot of pages and I ended up with this.

I had to get a tripod, here's my flip book.

and then we add another one and you can see,

because you can see that and that look very similar.

know how to do the Fourier Series by hand,

it's quite another to understand how it works.

from Turkey, he's a student at Georgia Tech.

this made it click in my mind unlike anything,

and let him teach you how a Fourier Series works.

- You have visualized, via animation, a Fourier Series

in the most beautiful way I have ever seen in my life.

- Sine waves are probably the simplest kind of wave, right?

The second most simple kind of wave is a square wave.

But the difference is you have sharp edges in a square wave.

is he used curvy waves to make sharp-edged square waves.

We have to add up different oscillations or simple

harmonic motion here. - Harmonic, harmonics, yes.

- [Destin] Yeah, and so, the first harmonic, n=1,

- Not to me interesting, just boring sine wave

and I add one more, it's actually like it.

well what are we going to call these, wipers?

- Okay so we're going to add a wiper on a wiper

and by doing that and we graft the function.

- [Doga] And then follow the tip of these wipers.

- [Doga] And then draw that with respect to time.

Fifteen harmonics is something really cool.

- [Destin] Oh wow that looks like a whip.

a Fourier series you can create any function

of multiple simple harmonic motion components, right?

- All Doga is doing is he's taking these sine waves

He's stacking the circles, to add together these waves

These visualization techniques that Doga developed

how the Fourier series starts to play out.

Subtitles ListPlay Video

What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205

awesome

stretch

demonstrate

basically