A visual explanation of the mathematical definition of an algorithm inspired by the book series "The Art of Computer Programming" by Donald Knuth.
Timestamps:
0:00 0. Motivation
1:05 1. High-level Overview
3:23 2. Implementation
6:11 3.1 States
7:46 3.2 State Transitions
9:36 4. A Side Note
10:38 5. Defining The Transition Function
14:10 Summary
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These animations are largely made using a custom python library, manim.
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Music by Vindsvept, fantasy music
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Open Source Computer Science
![](https://i.ytimg.com/vi/yDXk3Fi6b_A/maxresdefault.jpg)