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Interesting:

- we can find a finite sequence of N digits (where N can be any natural number) of e inside PI (with a probability that tends to 0 while N increases).

- We cannot find e inside PI, alternatively the infinite digits of e cannot be found inside Pi.

It is not the first time I encounter a similar concept that seems absurd, but it is not:

- If you play roulette with the strategy where you doble your bet each time you loose and bet on red or black, after a finite number of iterations you will win your initial bet.

- If you repeat the previous point an infinite number of times, your losses will diverge to negative infinity (you will loose all your infinite money)

- Interestingly enough: if the game were a perfectly fair game (meaning if the probability of winning is 1/N and you win N times your bet), still the losses of playing the game infinite times are not finite.

A am not able to provide the mathematics behind what I wrote, but I did the calculations with a former colleague and that calculations didn't seem to be complicate for someone who studied Math of Physics.

If someone is able to do the calculations to verify what I've just said, please write your results on Wikipedia and let me know! :)

Thanks for clarifying your thoughts.

I would add: since our vision is discrete, inside Pi there is everything we can see (including mountains)!

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Andrea Koutifaris
Andrea Koutifaris

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