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May 25, 2007
functioninductionstrong inductionFunctional Equations

Problem Statement

Find all functions f:N→Nf: \mathbb{N}\to \mathbb{N} such that for all m,n∈Nm,n\in \mathbb{N}: f(f(m)+f(n))=m+n.f(f(m)+f(n))=m+n.
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