this post was submitted on 28 Jul 2023
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submitted 1 year ago* (last edited 1 year ago) by [email protected] to c/[email protected]
 

I can hear this post in their voices. Maybe I’ve seen the movie too many times…nah

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[–] [email protected] 32 points 1 year ago (6 children)

What blew my mind is that it hasn't been proven that pi contains an infinte number of ones, for instance. It's not out of the question that there is a decimal place where the last 1 appears and there are none from then on.

It's not really likely, but we simply don't know and it is possible. It sounds weird given how many decimals of pi we've calculated, until you realise we've literally calculated 0% of them.

[–] [email protected] 2 points 1 year ago (2 children)

From a mathematical standpoint you're right, but from the standpoint of application pi has an infinitesimal accuracy without going to 45 digits. At 3.1415926535, we're more accurate than the distance between 3 atoms.

[–] [email protected] 11 points 1 year ago (1 children)

I don't see how that's relevant. Plus your last sentence sounds like you're just repeating something you heard but forgot a part of it, because it makes no sense as it is.

[–] [email protected] 12 points 1 year ago

The part they're misremembering is that if you used 39 digits of pi as pi (not 45), it would be enough to calculate the circumference of the observable universe with a forward error of less than the width of a hydrogen atom (not the distance between 3)

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