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Thursday, September 16, 2010
4th Balkan Mathematical Olympiad Problems 1987
4th Balkan Mathematical Olympiad Problems 1987A1. f is a real valued function on the reals satisfying (1) f(0) = 1/2, (2) for some real a we have f(x+y) = f(x) f(a-y) + f(y) f(a-x) for all x, y. Prove that f is constant.
