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Omni-MATH / Let α be given positive real number, find all the functions f:N^(+)→R such that f(k+m)=f(k)+f(m) holds for any positive integers k, m satisfying αm≤k≤(α+1)m. · Discussion

Discussing Let α be given positive real number, find all the functions f:N^(+)→R such that f(k+m)=f(k)+f(m) holds for any positive integers k, m satisfying αm≤k≤(α+1)m. · Omni-MATH

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