Urawa Red Diamonds Urawa Reds uses Ohara City Field for training. In addition to this facility, the club opened Redsland in 2005, which has three grass fields, one artificial turf field, one baseball field, futsal courts and tennis courts. Redsland is opened to the public and club members can use the facilities at relatively cheap fees. Urawa Red Diamonds has a local derby with Omiya Ardija, from Omiya-ku, Saitama city. They first met in the 1987 Emperor's Cup, with Mitsubishi defeating NTT Kanto by 5 to 0 at Nishigaoka National Stadium. The derby first took place in the JSL Second Division in the
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