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单词 parabolic coordinates
释义
parabolic coordinates

Mathematics
  • Orthogonal curvilinear coordinates (s,t) in the half-plane y > 0 defined by

    x=(s2t2)/2,y=st(s,t>0).

    The curves where s or t are constant are parabolas. Laplace’s equation is invariant under a change to parabolic coordinates. Note that these coordinates arise from the complex, conformal map zz2/2 from the first quadrant to the upper half-plane.


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