/sci/ - Science & Math » Thread #13731894

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Anonymous Sat 09 Oct 09:48:37 2021 No.13731894 View Reply Original Report

Quoted By: >>13731906 >>13732618 >>13732679

$\pi = \sqrt{ \frac{6}{1} + \frac{6}{4} + \frac{6}{9} + \frac {6}{16} + \frac{6}{25} +\cdots }$
What the fuck guys, how is this equal to pi?

Anonymous

Anonymous Sat 09 Oct 2021 09:51:46 No.13731900 Report

Quoted By:

nigga

Anonymous

Anonymous Sat 09 Oct 2021 09:52:41 No.13731906 Report

Quoted By: >>13732164

>>13731894
Through the magic of infinite sums.

Anonymous

Anonymous Sat 09 Oct 2021 12:37:40 No.13732164 Report

Quoted By: >>13732167

>>13731906
wtf

Anonymous

Anonymous Sat 09 Oct 2021 12:41:07 No.13732167 Report

Quoted By:

>>13732164
No, really.
https://en.wikipedia.org/wiki/Riemann_series_theorem
>if an infinite series of real numbers is conditionally convergent, then its terms can be arranged in a permutation so that the new series converges to an arbitrary real number, or diverges.
This is a consequence of fuckery with infinities.

Anonymous

Anonymous Sat 09 Oct 2021 15:41:28 No.13732618 Report

Quoted By:

>>13731894
I wasn't sure either, so I added it all up last night and it's true.

Anonymous

Anonymous Sat 09 Oct 2021 16:00:07 No.13732679 Report

Quoted By: >>13732693 >>13732740

>>13731894
what's this sequence called?

Anonymous

Anonymous Sat 09 Oct 2021 16:02:26 No.13732693 Report

Quoted By:

>>13732679
Riemann zeta function

Anonymous

Anonymous Sat 09 Oct 2021 16:18:00 No.13732740 Report

Quoted By:

>>13732679
the basal problem, or zeta(2)

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