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Cake day: January 18th, 2025

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  • Most aspects of our daily lives rely on Taylor series, polynomial expansion, and approximation theory in general. Everything built or planned using computer modeling software, down to the trig functions on your calculator… they all use polynomial approximations to allow a discrete mathematical machine to get us to within a certain error percentage of a continuous function in a timely manner.









  • The idea is that the tiny black holes are planck scale and they evaporate before they get anywhere near each other. Picture this:

    It takes 10^20 Planck lengths to equal the diameter of a proton. It takes 10^20 protons to equal the diameter of the earth. And it takes 10^20 earths to equal the diameter of the observable universe.



  • There is a theoretical max temperature, the Planck Temperature ≈ 1.416 x 10^42 K. It’s the temperature at which the wavelength of emitted light is the Planck length.

    Basically, a system at planck temperature probably would consist of many tiny black holes, and adding energy to said system would create a larger black hole, thereby lowering the temperature.