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Re: ASTOUNDING!!! [#permalink]
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So next time the bank calls me for the loan, I can just show them this video and give 8 cents? Or rather inform them that they owe me 8 cents to be exact... that will teach them!
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Re: ASTOUNDING!!! [#permalink]
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Wooow.... Am I glad that I decided against becoming a physicist... Else wouldn't have got past the first chapter of the book...
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Re: ASTOUNDING!!! [#permalink]
This is amazing Bunuel! Love this kind of stuff. Do you have more of these videos?
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Re: ASTOUNDING!!! [#permalink]
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JackDaniels wrote:
This is amazing Bunuel! Love this kind of stuff. Do you have more of these videos?


Yes. Check Numberphile's YouTube channel: https://www.youtube.com/user/numberphile?feature=watch
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Re: ASTOUNDING!!! [#permalink]
There is one little thing I do not fully understand in this equation. When he is calculating 2S(2), he shifts the second row a bit. On what ground is he allowed to do that?
I am probably missing something stupid ..
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Re: ASTOUNDING!!! [#permalink]
It gave me a headhache trying to understand... This is really complex... :)
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Re: ASTOUNDING!!! [#permalink]
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Bunuel wrote:

Disclaimer: please do NOT apply this on the test!!! Very much out of scope!!!



What would you say is the value of 1 + 2 + 3 + 4 + 5 + ... to infinity ? I bet you'd be surprised to know it's:

\(-\frac{1}{12}\)


[youtube]https://www.youtube.com/watch?v=w-I6XTVZXww[/youtube]


Why -1/12 is a gold nugget:



by Professor Edward Frenkel
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Re: ASTOUNDING!!! [#permalink]
Just have an observation;

If you take the numbers they are taking, [1, 2, 3, 4], than 2S2 ==> 1 -2 + 1 + 3 - 2 - 4 + 3 - 4 This is exactly what they are saying in the video.

The result of this is not 1/4,as you can see but - 4. BUT they are using infinity. Therefore, here is where I got confuse. Since they are moving aside the second serie (to get the 1 - 1 + 1 ... ), it also shift the last number no? Therefore the last number must be moved aside too.

Example: if you go until 10, then your serie will be -10. And so forth until infinity. If the serie will go until 1, then the result will be 11.

In consequence, the last number is either + or - infinity.

S2 = + or - infinity.

Then, we know that S - S2 = 4S

So S = -S2/3

If S2 = + infinity then the result is negative and will not have any sense.

But if S2 = - infinity than S = + infinity, which make a bit more sense!

Please tell me what to think about this, and if I am wrong, where did my logic is wrong!

Thanks for this video again!
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Re: ASTOUNDING!!! [#permalink]
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Bump........................
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Re: ASTOUNDING!!! [#permalink]
Bunuel wrote:
Bump........................


Completely agree with this author that the guys from Numberphile did not tell anything about zeta functions. The proof that 1-1+1-1...infinity is 1/2 is also nonsense for mathematicians.

https://plus.maths.org/content/infinity-or-just-112
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Re: ASTOUNDING!!! [#permalink]
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Sleeping beauty paradox:

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Re: ASTOUNDING!!! [#permalink]
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