Latest Posts by justashortgirllookingformemes - Page 5

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

I made something

How to Solve a Physics Problem

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.

This is deep, even coming from the simpsons

This was beautiful, just like Dwight’s respect and love for Pam

So… have I gotten along with my subordinates? Let’s see. [..] The Office administrator Pamela Beesly Halpert is my best friend. So…yes. I’d say I have gotten along with my subordinates

This makes me smile everytime, he just looks so carefree and happy, what bliss

I know many of you out there are feeling a bit down. Have a crow to Wouldn’t it be Nice by the Beach Boys to lift your mood.

science and nature, beautiful

reflections from an underwater wave 

Finally found it, I think about this post more often then I would like to admit

I have been thinking about this for a while

Wut

inspirational 

“my busch lite is gone”

me and the girls

i wanna know why this dude made this