Urawa Red Diamonds 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 logo consists of three red diamonds, one of which remains within the current club badge. Its hometown is the city of Saitama in Saitama Prefecture, but its name comes from the former city of Urawa, which is now a part of Saitama City. Shin-Mitsubishi Heavy Industries established a football club in 1950 in Kobe and moved the club to Tokyo in 1958. In 1965 it
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