Timeline for PDF of $R$ given that $R^2 = C^2 + S^2$, with $C = \sum_{j=1}^{n}{\cos \theta_j}$ and $S = \sum_{j=1}^{n}{\sin \theta_j}$ for a small $n$
Current License: CC BY-SA 4.0
13 events
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Dec 2, 2019 at 14:07 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 17:29 | comment | added | Felipe Augusto de Figueiredo | Dear Carlo, dank u wel! | |
Dec 1, 2019 at 17:27 | vote | accept | Felipe Augusto de Figueiredo | ||
Dec 1, 2019 at 17:27 | |||||
Dec 1, 2019 at 12:18 | comment | added | Carlo Beenakker | @FelipeAugustodeFigueiredo --- yes, I have added the large-$n$ limit, with a reference to the 1905 paper by J.C. Kluyver where this problem was treated in much detail. | |
Dec 1, 2019 at 12:17 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 12:09 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 11:59 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 11:25 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 8:23 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Dec 1, 2019 at 5:47 | comment | added | Felipe Augusto de Figueiredo | Is it possible, based on this integral, to show that it tends to the Maxwell distribution when $n$ is large? | |
Nov 30, 2019 at 23:17 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Nov 30, 2019 at 23:12 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Nov 30, 2019 at 23:06 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |