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538 riddler question about coin flipping game
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08-08-2018
, 05:33 AM
#26
masque de Z
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Carpal \'Tunnel
Join Date: Aug 2009
Posts: 9,961
So you used asymptotic expansion for t=log(1/q) q=1/2 here eq 2 and 8. That is a useful approximation that is remarkably good in this case for over 25 digits damn!
here it is likely
https://arxiv.org/pdf/1602.01085v1.pdf
theorem 3.2 eq 3.1
Last edited by masque de Z; 08-08-2018 at
05:57 AM
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08-08-2018
, 10:53 AM
#27
Mathematical Dick
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stranger
Join Date: Aug 2018
Posts: 9
Quote:
Originally Posted by
masque de Z
here it is likely
https://arxiv.org/pdf/1602.01085v1.pdf
theorem 3.2 eq 3.1
Oh good, you found a derivation. Section 3.
Here
is another based on the Mellin transform with some discussion on why the accuracy is so good.
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