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/sci/ - Science & Math

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File: 50 KB, 300x250, sum of all positive integers equals negative one twelth.jpg [View same] [iqdb] [saucenao] [google]
8041300 No.8041300 [Reply] [Original]

Whoa....

>> No.8041302

>>8041300
Woah

>> No.8041305

>>8041300
Waoh

>> No.8041306

screenshot from that jewphile video

>> No.8041316

[math]
\color{#e50b0b}D\color{#e5310b}i\color{#e5570b}v\color{#e57d0b}e\color{#e5a30b}r\color{#e5c90b}g\color{#dce50b}e\color{#b6e50b}n\color{#90e50b}t\text{ }\color{#6ae50b}s\color{#44e50b}e\color{#1ee50b}r\color{#0be51e}i\color{#0be544}e\color{#0be56a}s\text{ }\color{#0be590}a\color{#0be5b6}r\color{#0be5dc}e\text{ }\color{#0bc9e5}a\text{ }\color{#0ba3e5}m\color{#0b7de5}e\color{#0b57e5}m\color{#0b31e5}e

[/math]

>> No.8041335

I don't get it. It's a divergent series....so it goes to infinity. Infinity != -1/12.


What am I missing here?

>> No.8041342

>>8041316


import RunescapeFontsLibrary

public class ColorfulFont {
public static void main(String[] args) {
System.out.println("Divergent series are a meme");
}
}

>> No.8041380

>>8041335
It's easy to confuse yourself with this shit but it's quite simple.

All that the ramanujan summation stuff, cutoff and zeta regularization does, is look at the smoothed curve at x = 0.
What sums usually do is look at the value as x->inf.

It's just a unique value you can assign to a sum, really they have many such values.

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF#/media/File:Sum1234Summary.svg

>> No.8041389
File: 389 KB, 607x943, Screen Shot 2016-04-30 at 3.58.35 PM.png [View same] [iqdb] [saucenao] [google]
8041389

>>8041300

>> No.8041393

>>8041335
there exist methods to assign numbers to divergent series

>> No.8041509

>>8041335
What? [math]\infty ![/math] is just [math]\infty[/math].

>> No.8041598
File: 1.99 MB, 332x215, 1461737461687.gif [View same] [iqdb] [saucenao] [google]
8041598

>>8041342

>> No.8041979

>>8041509
[eqn]\infty! = \sqrt{2 \pi}[/eqn]
:^)

>> No.8041992

>>8041979
but what is gamma of aleph one lol

>> No.8042082

>>8041389
what spacetime is she talking about?

>> No.8042108

>>8041300
Everybody loves Riemann

>> No.8042114

>>8042082
Spacetime in Bosonic String Theory, a toy model.

>> No.8042684

>>8041300

smoothing. obviously the sum of any number of natural numbers is not going to be less than any of its parts.

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF

https://commons.wikimedia.org/wiki/File:Sum1234Summary.svg#/media/File:Sum1234Summary.svg