Relation between derivatives and integrals
/*!
*
* Twitter Bootstrap
*
*/
/*!
* Bootstrap v3.3.7 (http://getbootstrap.com)
* Copyright 2011-2016 Twitter, Inc.
* Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
*/
/*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */
html {
font-family: sans-serif;
-ms-text-size-adjust: 100%;
-webkit-text-size-adjust: 100%;
}
body {
margin: 0;
}
article,
aside,
details,
figcaption,
figur...

Read More
# Math

# Fluid flow in vector fields

I made a python program that simulates fluid particles flowing through a vector field. Here I'll put some things I discovered, some example gifs, and the complete code file.
Some patterns
A vector field is created by inputting points into a vector valued function and placing the tail of each output vector at its corresponding input. As I explored the particle flow of vector fields of different functions with my program, a few patterns started to emerge. The main ones are:
Attraction p...

Read More
# Collection of Desmos Graphs

Recently I went through my old Desmos (https://www.desmos.com/) graphs and I'd like to share 5 of my favorites here. There are some additional interesting graphs at the bottom that are cool as well. You can click on the links after each header to edit and interact with the graphs in the browser.
Complex Plane Rotation
Try it yourself: https://www.desmos.com/calculator/sprwnkggss
The goal of this graph is to take a function $f(x)$ and rotate it around the origin by an arbitrary radian a...

Read More