For any positive integer $m$,show that there exist integers $a,b$ satisfying
$\left | a \right |\leq m, \left | b \right |\leq m, 0< a+b\sqrt{2}\leq \frac{1+\sqrt{2}}{m+2}$
Korea 1995
"Questions we can't answer are far better than answers we can't question"
Re: Korea 1995
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
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- Joined:Sat Dec 14, 2013 3:28 pm