Find the smallest possible output for \(f : \mathbb{R} \rightarrow \mathbb{R} \) such that for all the following equality holds \(f({\lfloor}x{\rfloor}y)\) \(=\) \(f(x){\lfloor}f(y){\rfloor}\)
Details and Assumptions
\({\lfloor}x{\rfloor}\) is the greatest integer less than \(x\)
by
Nanayaranaraknas Vahdam
