Ziv's Math World

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1. Argument by Contradiction

Problem 1: Determine all functions satisfying     for all positive integers and . idea and solution: We could attempt some functions. We find that constant function works, does not work. does not work. This prompt us, maybe the only possible solution is ? This is because the left and right hand side has different…

April 2025
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  • 1. Argument by Contradiction

    Problem 1: Determine all functions satisfying     for all positive integers and . idea and solution: We could attempt some functions. We find that constant function works, does not work. does not work. This prompt us, maybe the only possible solution is ? This is because the left and right hand side has different […]

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