Hamumu Forum

Hamumu Forum (http://hamumu.com/forum/index.php)
-   Total Mayhem (http://hamumu.com/forum/forumdisplay.php?f=37)
-   -   The Positive Thread (http://hamumu.com/forum/showthread.php?t=24746)

tyconger191 10-29-2014 03:08 PM

The Positive Thread
 
If you look long and hard enough you will find something that will make you happy. Whether it be a serious relationship or a great hobby.

seamonkey 10-29-2014 04:26 PM

Re: The Positive Thread
 
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 ... = -1/12

OH SNAP. Even the most positive of things is negative.

(I'm so sorry, but teh funniez)

REACTOR 10-30-2014 12:52 AM

Re: The Positive Thread
 
Quote:

Originally Posted by seamonkey (Post 347192)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 ... = -1/12

OH SNAP. Even the most positive of things is negative.

(I'm so sorry, but teh funniez)

Uhm, how in the world is that equal to negative -1.12?

seamonkey 10-30-2014 12:08 PM

Re: The Positive Thread
 
Quote:

Originally Posted by REACTOR (Post 347197)
Uhm, how in the world is that equal to negative -1.12?

It's a lot of really advanced and complicated math, and I understand about a third of it. I'm just going to drop a wikipedia link and let you sift through it http://en.wikipedia.org/wiki/1_%2B_2..._%2B_%E2%8B%AF

One more thing: this isn't just some random result as part of weird math that has no applicability. This equation literally shows up in quantum mechanics textbooks.

Megadog 10-30-2014 03:52 PM

Re: The Positive Thread
 
It comes from the same math that makes 1 - 1 + 1 - 1 + 1 - 1 + ... = 1/2.

You then do 1 - 2 + 3 - 4 + 5 - 6 + ... = 2 * (1 - 1 + 1 - 1 + 1 - 1 + ...) = 1/4.

and then you have 1 + 2 + 3 + 4 + 5 + 6 + ... - 1 - 2 + 3 - 4 + 5 - 6 + ... = 4 + 8 + 12 + 16 + ... = 4*(1 + 2 + 3 + 4 + 5 + 6 + ...) => -1/4 = 3*(1 + 2 + 3 + 4 + 5 + 6 + ...) => 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12.

That's the best I can do in explaining it. This was taken from the numberphile video on the subject, which I can post because youtube.

seamonkey 10-30-2014 06:27 PM

Re: The Positive Thread
 
Quote:

Originally Posted by Megadog (Post 347203)
It comes from the same math that makes 1 - 1 + 1 - 1 + 1 - 1 + ... = 1/2.

You then do 1 - 2 + 3 - 4 + 5 - 6 + ... = 2 * (1 - 1 + 1 - 1 + 1 - 1 + ...) = 1/4.

and then you have 1 + 2 + 3 + 4 + 5 + 6 + ... - 1 - 2 + 3 - 4 + 5 - 6 + ... = 4 + 8 + 12 + 16 + ... = 4*(1 + 2 + 3 + 4 + 5 + 6 + ...) => -1/4 = 3*(1 + 2 + 3 + 4 + 5 + 6 + ...) => 1 + 2 + 3 + 4 + 5 + 6 + ... = -1/12.

That's the best I can do in explaining it. This was taken from the numberphile video on the subject, which I can post because youtube.

Except that numberphile screwed it up. Adding and multiplying infinite series that diverge isn't something that is allowed.

Megadog 10-30-2014 09:03 PM

Re: The Positive Thread
 
Quote:

Originally Posted by seamonkey (Post 347208)
Except that numberphile screwed it up. Adding and multiplying infinite series that diverge isn't something that is allowed.

They write it out the same way it's written on wikipedia (s = 1 - 1 + 1... = 1/2). I just didn't want to have to assign variables in an otherwise simple explanation...

EDIT: It mentions that this is not entirely appropriate on the wiki page, and goes on to do other proofs. Still, my attempt was first and foremost to explain why it's possible, and not to give a proof I can't understand.

seamonkey 10-30-2014 09:14 PM

Re: The Positive Thread
 
Quote:

Originally Posted by Megadog (Post 347212)

EDIT: It mentions that this is not entirely appropriate on the wiki page, and goes on to do other proofs. Still, my attempt was first and foremost to explain why it's possible, and not to give a proof I can't understand.

Fair enough. My only argument was that regardless of assigning variables this proof doesn't hold up because it breaks to rules. But you got that. ;)


All times are GMT -7. The time now is 01:59 PM.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2017, vBulletin Solutions Inc.