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Iran MO (2nd Round)
1987 Iran MO (2nd round)
2
Find all functions - [Iran Second Round 1987]
Find all functions - [Iran Second Round 1987]
Source:
December 23, 2010
function
algebra proposed
algebra
Problem Statement
Find all continuous functions
f
:
R
ā
R
f: \mathbb R \to \mathbb R
f
:
R
ā
R
such that f(x^2-y^2)=f(x)^2 + f(y)^2, \forall x,y \in \mathbb R.
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