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ursprünglich gepostet in:Secular Sevens
2/11/2014 2:03:46 AM
20
1+2+3+4+... = -1/12
The sum of all natural numbers is -1/12.
Discuss
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1+2+3+4 = 1,234.
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Bearbeitet von Ryan: 2/11/2014 1:21:20 PMNote that that sum, in the conventional sense, doesn't converge. That series is clearly divergent, however, there are different ways to sum divergent series allowing you to "assign" values to a particular divergent series (e.g. Ramanujan summation, or Cesaro Summation). The original series still diverges to plus infinity though.
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I'm pretty interested in seeing how exactly this works out in QM.
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3 AntwortenBearbeitet von BannedPiranha: 2/11/2014 2:26:13 AMYes. The Flood has already gone over this. I'm still sort of amazed at the people that deny this result despite the proof and it's use in physics. Here's the alternate proof.
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Dutchy Theorem: Multiply both sides by zero Get 0 = 0 Move on to a relevant problem in your life
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Any time you try to perform mathematical operations using infinity you get weirdness. Math is for numbers, and infinity isn't a number.
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Bearbeitet von HurtfulTurkey: 2/11/2014 2:20:14 AMJe le vois, mais je ne le crois pas. Set theory is best theory.
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3 AntwortenThis is the problem with concepts, they don't match up with reality perfectly. Hence, weirdness like this in maths and physics.
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2 AntwortenBearbeitet von Regret: 2/11/2014 5:52:49 PMI'm pretty sure that doesn't work. The sum of (-1)^(n-1) doesn't equal a half. You can't just take an average, it doesn't work like that.
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2 Antworten
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I'm never using natural numbers again.
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1 AntwortenI'm never going to understand how adding an infinite number of positive integers will result in a negative answer. Maybe it's explained in the video, but I can't watch it at the moment
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Nur. I hafs to thunk abut thes. it maeks no zense.
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"Cesaro Sum" not "Sum."
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Math is so intricate.
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Well 1+1=11
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1 AntwortenI still don't understand how finding the average of something is the same as finding its sum.
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But if you keep adding positives together forever it will be infinity right? I don't see how it would become a negative fraction!
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math has all the weirds
