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Decimal expansion of lower bound using Shannon entropy arising in randomly projected hypercubes.
1

%I #18 Jun 12 2017 17:26:07

%S 5,1,0,6,4,6,1,1,8,9,1,3,8,3,3,8,2,7,7,6,3,1,3,0,9,5,6,7,1,6,0,0,8,7,

%T 9,1,6,4,9,0,9,9,0,4,7,8,9,1,1,1,6,3,6,1,8,1,2,3,8,5,0,6,1,9,7,8,4,4,

%U 2,1,4,5,1,5,1,1,0,6,3,5,3,2,8,1,6,0,2,9,8,7,4,0,1,3,5,2,8,7,8,6

%N Decimal expansion of lower bound using Shannon entropy arising in randomly projected hypercubes.

%H David L. Donoho and Jared Tanner, <a href="http://arxiv.org/abs/0807.3590">Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications</a>, arXiv:0807.3590 [math.MG], 2008.

%F Equals (16/25)*(2/Pi)^(1/2).

%e 0.5106461189138...

%t RealDigits[16/25*Sqrt[2/Pi],10,120][[1]] (* _Harvey P. Dale_, Nov 29 2012 *)

%Y Cf. A143149.

%K cons,easy,nonn

%O 0,1

%A _Jonathan Vos Post_, Jul 27 2008

%E Leading zero removed and offset adjusted by _R. J. Mathar_, Feb 05 2009