OFFSET
0,5
REFERENCES
Fano, Robert M., Transmission of Information, M.I.T. Press, Cambridge, Mass.; John Wiley & Sons, Inc., New York-London, 1961.
FORMULA
Solution to h(x) = -x log_2 (x) - (1-x) log_2 (1-x) = 1/2.
EXAMPLE
0.1100278644383595512618117...
MATHEMATICA
x /. FindRoot[ -x*Log[x] - (1-x)*Log[1-x] == Log[2]/2 , {x, 1/10}, WorkingPrecision -> 99] // RealDigits // First (* Jean-François Alcover, Mar 07 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Feb 19 2005
STATUS
approved