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#16 by N. J. A. Sloane at Fri Sep 04 15:40:10 EDT 2020
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#15 by Yu-Sheng Chang at Fri Jul 10 00:54:49 EDT 2020
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#14 by Alois P. Heinz at Tue Jun 30 22:01:33 EDT 2020
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Discussion
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| Thu Jul 02
| 22:52
| Yu-Sheng Chang: I think let original def. be max{x,y} or max{i,j} should be better, since it's defined from Matrix form.
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#13 by Yu-Sheng Chang at Tue Jun 30 21:53:41 EDT 2020
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Discussion
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| Tue Jun 30
| 22:01
| Alois P. Heinz: Maple program uses indexing different from the definition.
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#12 by Yu-Sheng Chang at Tue Jun 30 21:53:24 EDT 2020
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Define random variables X_n by P(X_n=k) = T(n,k)/Sum_{k=0..n} T(n,k). Then the p.d.f.,f(x), of the limiting random varable, lim_{n->oo} X_n/n, will be: f(x) = (32/3)*x^3-16*x^2+8*x when 0<=x<1/2 and -(8/3*(x-1))*(4*x^2-2*x+1)) when 1/2<=x<=1.
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proposed
editing
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#11 by Michel Marcus at Mon Jun 08 01:04:51 EDT 2020
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Discussion
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| Tue Jun 30
| 21:53
| Yu-Sheng Chang: Remove Limiting P.d.f.
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#10 by Michel Marcus at Mon Jun 08 01:04:41 EDT 2020
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Define random variables X_n by P(X_n=k)=) = T(n,k)/sumSum_{k=0}^{..n} T(n,k). Then the p.d.f.,f(x), of the limiting random varable, lim_{n\to\infty->oo} X_n/n, will be: f(x) = (32/3)*x^3-16*x^2+8*x when 0<=x<1/2 and -(8/3*(x-1))*(4*x^2-2*x+1)) when 1/2<=x<=1.
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#9 by Michel Marcus at Mon Jun 08 01:03:28 EDT 2020
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From _Yu-Sheng Chang, _, Jun 505 2020: (Start)
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end proc: # Yu-Sheng Chang, Jun 505 2020
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proposed
editing
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#8 by Yu-Sheng Chang at Sun Jun 07 22:22:00 EDT 2020
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#7 by Yu-Sheng Chang at Fri Jun 05 05:51:05 EDT 2020
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From Yu-Sheng Chang, MayJun 255 2020: (Start)
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Discussion
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| Fri Jun 05
| 05:53
| Yu-Sheng Chang: Add 1.Maple Code 2.O.g.f. 3. Eaxct n-th polynomial 4.Limiting P.d.f.
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