We explore fixed point iteration, the process of repeatedly applying a function to itself. This is similar to pressing a function button on a calculator over and over again. Sometimes, this process will converge to a fixed point, called an attractor. Sometimes, it will not. We explore various functions like cosine and sine and observe their behavior using graphs, analyses and short Haskell programs. We also introduce the Banach Fixed Point Theorem which allows to more formally define when and where a function will converge to a fixed point.
For more information, we recommend starting with these articles.
https://en.wikipedia.org/wiki/Fixed-point_iteration
https://en.wikipedia.org/wiki/Banach_fixed-point_theorem
Original soundtrack features:
Ableton Live with Honoring Florian drum kit
Sequential Prophet 12
Arturia Synclavier V
Arturia MiniBrute 2
Qu-Bit Prism
EastWest Orchestra Gold
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