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This document contains solutions to 4 problems from Putnam math exams: 1) It proves that a function f(x,y) satisfying a certain property can be written as f(x,y) = g(x) - g(y) for some function g(x). 2) It shows that for a function f(x) defined as a sum of sin terms, the absolute value of coefficients sums to less than or equal to 1. 3) It proves that for any percentage k/(k+1), there must exist a moment when a basketball player

Author

Sabat Umar

Language

EN