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user 171320
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Bounds on the coin-flipping degree
Let $p(\lambda)$ be a polynomial that maps the closed unit interval to itself and satisfies $0\lt p(\lambda)\lt 1$ whenever $0\lt\lambda\lt 1$.
The polynomial can be written in power form:
$$p(\lambda …
- 697
1
vote
Bounds on the coin-flipping degree
The answer to question 1 is: There is no upper bound in that level of generality.
If a polynomial's "power" coefficients can be rational numbers (ratios of two integers), even a degree-2 polynomial ca …
- 697