Urawa Red Diamonds 19 December 2018." The following players have represented their country at the World Cup whilst playing for Urawa Red Diamonds: World Cup 1998 World Cup 2006 World Cup 2010 World Cup 2014 World Cup 2018 Excepting two seasons in which they were in the second tier, Mitsubishi/Urawa has always competed in the top flight, thereby being the club with the most top flight seasons total. Urawa Red Diamonds , colloquially Urawa Reds, are a professional association football club playing in Japan's football league, J1 League. The name Red Diamonds alludes to the club's pre-professional era parent company Mitsubishi. The corporation's
Hearing the shape of a drum Lester R. Ford Award in 1967 and the Chauvenet Prize in 1968. The frequencies at which a drumhead can vibrate depends on its shape. The Helmholtz equation calculates the frequencies if the shape is known. These frequencies are the eigenvalues of the Laplacian in the space. A central question is whether the shape can be predicted if the frequencies are known; for example a circle-shaped triangle can be recognized in this way. Kac did not know whether it was possible for two different shapes to yield the same set of frequencies; the question was finally answered by the negative in