The Bubble Sort Curve
A derivation of the curve that is approximated by a common visualization of the bubble sort diagram. Read the full proof on my site: The viral sorting algorithm video which first sparked my interest: The animations in this video were created using Manim: Music credits: Fluidscape by Kevin MacLeod is licensed under a Creative Commons Attribution 4. 0 license. Night Music by Kevin Macleod river Calm and Relaxing Piano Music by HarumachiMusic. .. And a couple of my own songs: The Fog: Heavy Head, Light Rain: Thanks For Watching: Chapters: 00:00 Intro: 0:37 Laying the Background 3:20 How Bubble Sort Works 6:59 Mathematically Describing Diagrams 9:13 Stretching the Diagrams 11:52 Visual Derivation 14:38 Symbolic Derivation 16:48 Nice 17:07 A Rigorous Solution
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