olymmath

SCHWEITZER 1994 Problem 1

    An ordered set of numbers is mean-free if for all x<y<zx < y < z , y≠x+z2y \neq \frac{x + z}{2} . Is it possible to order the real numbers so it becomes mean-free?

    related: https://www.youtube.com/watch?v=ppaXUxsEjMQ

    Dataset text AI-MO AoPS. Quoted with source.

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