How to fit any dataset with a single parameter

Re:How to fit any dataset with a single parameter by yongjik on Wednesday September 29, 2021 @05:37PM (#28700304)

In theory, pi has infinite digits. You could publish a book of a trillion digits of pi, and you have barely scratched the surface: in fact you published a precisely 0.00000% of all digits of pi.

In practice, you "only" need ~42 digits of pi to draw a circle spanning the entire known universe (diameter of 8.8 * 10^26 m) and it will deviate from the ideal circle by less than the size of a proton (0.8 * 10^−15 m).

Having a theoretically infinite precision does not mean that it makes a measurable difference.

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Re:How to fit any dataset with a single parameter by Kranar on Wednesday September 29, 2021 @06:14PM (#28700682)

Every number has infinite digits or can be made to have infinite digits for a given representation, but that's not the same as a number having an infinite amount of information. PI represents a finite amount of information, as opposed to say a number like Chaitin's constant which represents an infinite and irreducible amount of information:

https://en.wikipedia.org/wiki/Chaitin%27s_constant

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Re:How to fit any dataset with a single parameter by eru on Wednesday September 29, 2021 @10:38PM (#28702579)

You are right about information, but the comment you replied to is still right about precision.

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