Determine all pairs
of real numbers such that
for all positive integers
. (Note that
denotes the greatest integer less than or equal to
.)
%V0
Determine all pairs $(a,b)$ of real numbers such that $a \lfloor bn \rfloor =b \lfloor an \rfloor$ for all positive integers $n$. (Note that $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$.)
Školjka