Justashortgirllookingformemes - Spicy - Like Some Minty Toothpaste

My dad is a kroger manager and sent me this (repost without personal info)

https://m.youtube.com/watch?v=slQnKFioovs

How brilliant is this

Now this is the dream, damn

Wheeee!

A short note on how to interpret Fourier Series animations

When one searches for Fourier series animations online, these amazing gifs are what they stumble upon.

They are absolutely remarkable to look at. But what are the circles actually doing here?

Vector Addition

Your objective is to represent a square wave by combining many sine waves. As you know, the trajectory traced by a particle moving along a circle is a sinusoid:

This kind of looks like a square wave but we can do better by adding another harmonic.

We note that the position of the particle in the two harmonics can be represented as a vector that constantly changes with time like so:

And being vector quantities, instead of representing them separately, we can add them by the rules of vector addition and represent them a single entity i.e:

                                                  Source

The trajectory traced by the resultant of these vectors gives us our waveform. 

And as promised by the Fourier series, adding in more and more harmonics reduces the error in the waveform obtained.

        Have a good one!

**More amazing Fourier series gifs can be found here.

What even @alexander, no. I can’t even express how much I disagree with this, and I usually love your blog. My mind is blown just trying to comprehend it, thanks

Soda is just crunchy water

Surely this has to be staged, surely

My favourite remix of this song

My type of geography

Terrible maps

What moms are like when guests are about to be coming over…