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单词 degenerate quadric
释义
degenerate quadric

Mathematics
  • The quadric with equation ax2 + by2 + cz2 + 2fyz + 2gzx + 2hxy + 2ux + 2vy + 2wz + d = 0 is degenerate if Δ‎ = 0, where

    Δ=|ahguhbfvgfcwuvwd|.

    The non‐degenerate quadrics are the ellipsoid, the hyperboloid of one sheet, the hyperboloid of two sheets, the elliptic paraboloid, and the hyperbolic paraboloid.


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