F is increasing, i.e., x <= y implies that F(x) <= F(y) F(x/3) = F(x)/2 F(x) + F(1 - x) = 1
Find the following values: F(1/13) F(Sqrt[1/2])
(thanks to Ajit Thyagarajan <ajit@brookmoor.com> for introducing this puzzle to me. PDA )