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How (Not) to Sum the Natural Numbers: Zeta Function Regularization
$latex 1+2+3+4+5+6+\ldots=-\frac{1}{12}$ If you follow Numberphile on YouTube or Bad Astronomy on Slate you’ve already seen this counter-intuitive sum written out. Similarly, if you follow those people or Sciencetopia’s Good Math, Bad Math, you’re aware that the way that sum was presented by Numberphile in that video was seriously flawed. There is a real sense in…
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How (Not) to Sum the Natural Numbers: Zeta Function Regularization
$latex 1+2+3+4+5+6+\ldots=-\frac{1}{12}$ If you follow Numberphile on YouTube or Bad Astronomy on Slate you’ve already seen this counter-intuitive sum written out. Similarly, if you follow those people or Sciencetopia’s Good Math, Bad Math, you’re aware that the way that sum was presented by Numberphile in that video was seriously flawed. There is a real sense in…
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How (Not) to Sum the Natural Numbers: Zeta Function Regularization
$latex 1+2+3+4+5+6+\ldots=-\frac{1}{12}$ If you follow Numberphile on YouTube or Bad Astronomy on Slate you’ve already seen this counter-intuitive sum written out. Similarly, if you follow those people or Sciencetopia’s Good Math, Bad Math, you’re aware that the way that sum was presented by Numberphile in that video was seriously flawed. There is a real sense in…
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