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| bio | website | |
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| location | ||
| age | ||
| visits | member for | 1 year |
| seen | May 16 at 6:32 | |
| stats | profile views | 28 |
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May 6 |
awarded | Caucus |
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Apr 27 |
awarded | Yearling |
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Mar 9 |
accepted | Can the Basel problem be solved by Leibniz today? |
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Mar 9 |
comment |
Can the Basel problem be solved by Leibniz today? This is a great answer! Quite $(\heartsuit)$ly. |
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Mar 9 |
awarded | Nice Question |
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Mar 9 |
comment |
Can the Basel problem be solved by Leibniz today? Thanks, I am aware of the above relations. I found a reference that establishes that given one more ingredient, (1) is sufficient to infer (2) - as far as heuristic arguments go (see here). Also, this talk seems to indicate that Newton's theorem (which must have existed pre-Leibniz?) is sufficient to infer (2), again the rigor is forsaken. |
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Mar 9 |
comment |
Probability that n points on a circle are in one semicircle Why is $ \lim_{k\to\infty}k2^{-n}\left(1-\left(1-\frac2k\right)^n\right)=\lim_{k\to\infty}k2^{-n}\left(\frac{2n}k\right)$ true? |
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Mar 9 |
revised |
Probability that n points on a circle are in one semicircle deleted 2 characters in body |
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Mar 9 |
comment |
Probability that n points on a circle are in one semicircle There's a slight variation of this answer that uses the inherent symmetry: instead of picking $n$ points at random, pick $n$ random diameters of the circle and pick the $n$ points by randomly picking one of the 2 poles of each diameter. By essentially the same argument, you have the probability given by $(2n)/2^n=n/2^{n-1}$. |
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Mar 9 |
revised |
Probability that n points on a circle are in one semicircle added 88 characters in body |
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Mar 9 |
answered | Probability that n points on a circle are in one semicircle |
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Mar 8 |
revised |
Can the Basel problem be solved by Leibniz today? added 180 characters in body |
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Mar 8 |
revised |
Can the Basel problem be solved by Leibniz today? added 62 characters in body |
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Mar 8 |
asked | Can the Basel problem be solved by Leibniz today? |
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Feb 24 |
awarded | Nice Question |
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Feb 20 |
comment |
When is $(2^a-1)$ a power of 3 Thanks for letting me know about this wonderful theorem! |
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Feb 20 |
accepted | When is $(2^a-1)$ a power of 3 |
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Feb 20 |
awarded | Student |
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Feb 20 |
asked | When is $(2^a-1)$ a power of 3 |
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Aug 4 |
awarded | Enthusiast |
