/sci/ - Science & Math

>>6679361
>the sum of positive integers is a negative fraction
Nope, but if so, then is the sum of all negative integers <span class="math">\frac{1}{12}[/spoiler]?

>>6679361
it's obviously ∞ and with our shitty math that can be whatever number you want

its an aritfact

>>6679366
>>6679387
>Still thinking that divergent series act normally after regularization
>Not knowing it has a practical application
>mfw

You are manipulating infinity. You can get whatever number you want it just depends on your method.

>>6679361
>>6679387
>>6679397
>>6679410
Post method, formula and proof.

>>6679416
Do you need proof to realise that the sum of an infinite quantity of integers set is equal to infinity?

>>6679429
I need proof of 1+2+3... = -1/12

I know exactly how Ramanujan summation and algebra works. I just think you don't and are looking for a reason to shitpost and look smart on an anonymous image board.
Post method, formula and proof

who is trolling who?
I'm lost

>>6679361
Please stop spreading misleading information. The series still diverge so there is no definite result. However -1/12 is used to represent the series, and this representation is accurate, although not a strict sum. This representation arises after regularizing the series with the Riemman-Zeta function. Alternatively this answer can be also found with the Ramanujan summation, which is also not a strict sum.

>>6679387
>aritfact
lawl XD epic.

>>6679416
https://www.youtube.com/watch?v=w-I6XTVZXww

>>6679361
>I just subbed 2 Numberphile guise hurr

>>6679478
>he actually linked to the numberphile vid

Hahahahah oh wow, I'm in tears!

They made 2 videos but no valid method was shown and no attempt of a proof was made.

>>6679403
you can get everything in every setting depending on your method

>>6679478
So what it boils down to is

infinity -1/4 = -1/12

lol

>>6679361

>>6679505
http://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin-formula-bernoulli-numbers-the-zeta-function-and-real-variable-analytic-continuation/

It has use in physics btw :^)

>>6679519
string theory is not physics

>>6679529
String theory is pure ass.

>>6679529
>>6679547

Can you here that? That's the sound of no one in the physics community caring about what you have to say.

>>6679576
Can you hear that? That's the sound of everyone in the physics community caring about what you just said.

>>6679631
top lel

>>6679505
I thought that was what the video was about.

>>6679632
No, its the sound of you being a whiney faggot over the internet.

>>6679704
>whiney
Now is not the time to be upset.

>>6679704
*whiny

>>6679529
Used in the casimir effect too :^)

>>6679505
That's because -1/12 is the y intercept of a slope that represents the summation of all numbers, in order.

It's not the sum of all numbers.

>>6681030

Not a math guy, but in the numberphile video he says the series

1 + 1 - 1 + 1 - 1 + 1........ = 0.5

That's wrong, right?

>>6681074
Yup, the Ramanujan summation is not the same as the sum. The actual sum is divergent.