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Saint Petersburg Mathematical Olympiad
2013 Saint Petersburg Mathematical Olympiad
1
St.Peterburg, P1 Grade 11, 2013
St.Peterburg, P1 Grade 11, 2013
Source:
April 17, 2014
trigonometry
floor function
calculus
integration
algebra proposed
algebra
Problem Statement
Find the minimum positive noninteger root of
sin
x
=
sin
⌊
x
⌋
\sin x=\sin \lfloor x \rfloor
sin
x
=
sin
⌊
x
⌋
. F. Petrov
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