of ϕ: x_{0}∈[0,1] if the nth binary digit of x_{0} odd: x_{n+1} = 1 + 1/x_{n} even: x_{n+1} = sqrt(1+x_{n}} ret x∞ duff's device?
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of ϕ: x_{0}∈[0,1] if the nth binary digit of x_{0} odd: x_{n+1} = 1 + 1/x_{n} even: x_{n+1} = sqrt(1+x_{n}} ret x∞ duff's device?