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单词 Green’s theorem
释义
Green’s theorem

Mathematics
  • The theorem that

    CPdx+Qdy=D(QxPy)dA

    for differentiable functions P(x,y) and Q(x,y) defined in a region D of the plane bounded by a simple, closed, positively oriented curve C. This is a special case of Stokes’ theorem applied to F = (P,Q) and is closely connected to Cauchy’s integral theorem via the Cauchy-Riemann equations.


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