The principle of maximum entropy

Hi everyone,

Jonathon Riddell here. Today we apply Jaynes' principle of maximum entropy to the case of rigged dice, and we use it to derive the definition of temperature! We also recover other key thermodynamic results!

The equation used on wolfram: (1e^(-x)+2e^(-2x)+ 3e^(-3x)+4e^(-4x)+5e^(-5x)+6e^(-6x))/(e^(-x)+e^(-2x)+ e^(-3x)+e^(-4x)+e^(-5x)+e^(-6x)) = 4.62

If you want more intuition for Jaynes' principle check out my previous video: https://youtu.be/YbT__-H5QjA

To view my publication history you can go to: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en

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