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What is Hong Kong Mathematical Olympiad Problems about?
The document summarizes techniques for solving functional equations. It provides examples of solving functional equations by: 1) Introducing substitutions to obtain additional equations or information about special values like f(0) or f(1). 2) Determining values of f(n) for integers n inductively, then using density of rational numbers to find f(x) for all real x. 3) Noting that after finding a function on rational numbers Q, it can often be extended to real numbers R using properties like density of
- Author
- Murali
- Language
- EN