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61KiB, 939x852, pi.png

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Anonymous Sun 29 Nov 22:09:21 2020 No.12400809 View Reply Original Report

Quoted By: >>12400831 >>12400832 >>12400853 >>12400859

$\pi = 2$
QED

Anonymous

Anonymous Sun 29 Nov 2020 22:13:55 No.12400828 Report

Quoted By:

Interesting that even at the neighborhood of infinity the semi circles are defined differently than a straight line.

Anonymous

Anonymous Sun 29 Nov 2020 22:15:00 No.12400831 Report

Quoted By: >>12400837

>>12400809
Uses pi to define pi
>circular logic

Anonymous

Anonymous Sun 29 Nov 2020 22:15:10 No.12400832 Report

Quoted By: >>12400837

>>12400809
funny, but obviously not true

Anonymous

Anonymous Sun 29 Nov 2020 22:16:50 No.12400837 Report

Quoted By:

>>12400831
It doesn't. Try reading it again.
>>12400832
Yeah it's a joke.

Anonymous

Anonymous Sun 29 Nov 2020 22:20:42 No.12400853 Report

Quoted By:

>>12400809
Idont know man
We ask what is the limit of
2^N × (Pi/2^N) as n goes to infinity:
N=1 is 2 * Pi/2
N=2 is 4 * Pi/4
They just fucking cancel out trivially to Pi.

Anonymous

Anonymous Sun 29 Nov 2020 22:21:52 No.12400859 Report

Quoted By: >>12400866

>>12400809
convergence of curves doesn't imply convergence of their lengths. this is actually a nice counterexample.

Anonymous

Anonymous Sun 29 Nov 2020 22:23:39 No.12400865 Report

Quoted By:

So every pure note contains an infinite harmonic of octaves within itself. Can we dial these amps up to 11?

Anonymous

Anonymous Sun 29 Nov 2020 22:23:49 No.12400866 Report

Quoted By: >>12400909

>>12400859
>convergence of curves
What do you mean by this?

Anonymous

Anonymous Sun 29 Nov 2020 22:36:20 No.12400909 Report

Quoted By:

>>12400866
Not him but for the sake of argument you can think of sequences of parametrized curves $a_n(t), b(t): [0,1]\to\mathbb{R}^n$
and a simple definition such as $\lim_{n\to\infty} a_n = b \iff \lim_{n\to\infty} a_n([0,1]) = b([0,1])$

Anonymous

Anonymous Sun 29 Nov 2020 22:53:21 No.12400979 Report

Quoted By:

The derivative of the curve is highly oscillating and so the arclenght obviously doesn't converge.

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