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单词 hyperbolic differential equation
释义 hyperbolic differential equation
[¦hī·pǝr¦bäl·ik ´dif·ǝ¦ren·chǝl i`kwā·zhǝn]
MATHEMATICS
A general type of second- order partial differential equation which includes the wave equation and has the form
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where the Aij , Bi , C, and F are suitably differentiable real functions of x1, x2, . . ., xn , and there exists at each point (x1, x2, . . ., xn ) a real linear transformation on the xi which reduces the quadratic form
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to a sum of n squares not all of the same sign.
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